TSTP Solution File: RNG048+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 14:50:34 EDT 2024
% Result : Theorem 3.20s 0.80s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 729
% Syntax : Number of formulae : 2514 ( 61 unt; 0 def)
% Number of atoms : 11519 (1697 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 17029 (8024 ~;8124 |; 132 &)
% ( 696 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 701 ( 699 usr; 692 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 4311 (4300 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10015,plain,
$false,
inference(avatar_sat_refutation,[],[f176,f181,f186,f191,f195,f199,f205,f209,f213,f217,f221,f225,f230,f234,f242,f247,f252,f256,f260,f264,f268,f272,f276,f286,f290,f294,f298,f302,f306,f310,f314,f328,f335,f339,f346,f350,f362,f366,f373,f377,f381,f385,f389,f396,f399,f426,f461,f466,f470,f474,f489,f493,f497,f502,f516,f520,f534,f538,f545,f551,f557,f562,f568,f577,f591,f606,f610,f614,f641,f658,f662,f679,f685,f694,f768,f876,f893,f895,f899,f904,f908,f921,f926,f930,f934,f939,f964,f968,f972,f976,f980,f985,f1037,f1046,f1051,f1055,f1059,f1063,f1067,f1071,f1075,f1079,f1126,f1135,f1147,f1148,f1152,f1156,f1160,f1164,f1168,f1172,f1176,f1180,f1184,f1188,f1259,f1270,f1281,f1285,f1289,f1293,f1297,f1306,f1310,f1344,f1348,f1352,f1358,f1380,f1389,f1398,f1410,f1422,f1426,f1430,f1449,f1454,f1465,f1469,f1494,f1512,f1534,f1538,f1542,f1546,f1581,f1592,f1612,f1628,f1632,f1636,f1661,f1667,f1672,f1676,f1692,f1697,f1718,f1724,f1731,f1742,f1752,f1756,f1774,f1778,f1782,f1808,f1818,f1822,f1826,f1848,f1852,f1856,f1860,f1864,f1868,f1872,f1876,f1881,f1890,f1901,f1905,f1967,f1971,f1990,f1991,f2000,f2004,f2008,f2012,f2016,f2020,f2024,f2028,f2032,f2036,f2040,f2044,f2048,f2052,f2077,f2135,f2145,f2149,f2153,f2157,f2161,f2165,f2169,f2186,f2218,f2222,f2226,f2230,f2234,f2252,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2293,f2297,f2471,f2475,f2479,f2489,f2493,f2497,f2501,f2505,f2509,f2535,f2564,f2568,f2572,f2576,f2580,f2598,f2602,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2639,f2643,f2647,f2651,f2655,f2770,f2796,f2812,f2816,f2820,f2824,f2828,f2839,f2843,f2847,f2851,f2855,f2859,f2863,f2867,f2871,f2875,f2880,f2884,f2888,f2892,f2896,f2900,f3149,f3192,f3196,f3212,f3217,f3221,f3225,f3229,f3233,f3237,f3241,f3245,f3249,f3253,f3257,f3275,f3279,f3283,f3287,f3291,f3295,f3299,f3303,f3307,f3311,f3329,f3333,f3337,f3341,f3345,f3349,f3353,f3357,f3361,f3365,f3370,f3374,f3378,f3382,f3386,f3390,f3394,f3398,f3402,f3406,f3410,f3415,f3620,f3702,f3739,f3743,f3752,f3758,f3765,f3771,f3785,f3789,f3793,f3797,f3801,f3802,f3806,f3810,f3814,f3818,f3822,f3826,f3830,f3834,f3838,f3842,f3847,f3851,f3855,f3859,f3863,f3867,f3871,f3875,f3879,f3883,f3884,f3888,f3892,f3896,f3900,f3904,f3908,f3985,f4352,f4356,f4360,f4365,f4369,f4373,f4377,f4381,f4385,f4389,f4393,f4397,f4401,f4405,f4414,f4418,f4422,f4426,f4430,f4434,f4438,f4442,f4446,f4450,f4455,f4459,f4463,f4467,f4471,f4475,f4479,f4483,f4487,f4491,f4495,f4508,f4512,f4516,f4555,f4742,f4766,f4800,f4819,f4823,f4827,f4831,f4835,f4839,f4843,f4847,f4851,f4855,f4909,f4916,f4920,f4925,f4929,f4933,f4937,f4941,f4945,f4949,f4953,f4957,f4961,f4965,f4986,f4990,f4994,f4998,f5002,f5006,f5010,f5014,f5246,f5250,f5261,f5265,f5269,f5273,f5277,f5327,f5342,f5346,f5350,f5354,f5358,f5362,f5401,f5415,f5419,f5423,f5431,f5458,f5462,f5478,f5482,f5486,f5490,f5494,f5498,f5502,f5506,f5510,f5523,f5527,f5551,f5562,f5635,f5639,f5643,f5647,f5651,f5655,f5659,f5663,f5667,f5708,f5743,f5747,f5780,f5784,f5789,f5793,f5845,f5869,f5873,f5877,f5881,f5888,f5892,f5932,f5947,f5951,f5961,f5965,f5969,f5973,f5977,f5981,f6026,f6050,f6054,f6059,f6063,f6068,f6073,f6122,f6126,f6152,f6156,f6161,f6166,f6209,f6213,f6217,f6221,f6225,f6266,f6270,f6274,f6278,f6282,f6322,f6326,f6331,f6335,f6339,f6343,f6347,f6351,f6355,f6396,f6437,f6444,f6449,f6453,f6479,f6483,f6487,f6491,f6495,f6499,f6503,f6607,f6611,f6615,f6619,f6628,f6632,f6636,f6640,f6644,f6648,f6652,f6656,f6660,f6664,f6668,f6673,f6677,f6681,f6685,f6689,f6693,f6718,f6868,f6873,f7200,f7204,f7208,f7212,f7216,f7220,f7224,f7228,f7232,f7233,f7569,f7573,f7577,f7581,f7585,f7589,f7593,f7597,f7601,f7606,f7610,f7614,f7618,f7622,f7626,f7630,f7634,f7890,f7920,f7924,f7928,f7932,f7936,f7940,f7944,f7948,f7953,f7957,f7961,f7965,f7969,f7973,f7977,f7981,f7985,f7989,f7990,f8365,f8369,f8373,f8377,f8381,f8920,f9016,f9020,f9031,f9035,f9039,f9043,f9047,f9099,f9133,f9137,f9171,f9175,f9179,f9183,f9194,f9198,f9202,f9206,f9210,f9214,f9218,f9222,f9226,f9242,f9342,f9376,f9396,f9402,f9406,f9410,f9438,f9470,f9474,f9478,f9482,f9486,f9513,f9517,f9521,f9591,f9610,f9614,f9618,f9623,f9678,f9682,f9687,f9691,f9746,f9750,f9754,f9758,f9762,f9766,f9794,f9798,f9940,f9960,f9978,f9982,f10009,f10013,f10014]) ).
fof(f10014,plain,
( ~ spl6_604
| ~ spl6_18
| spl6_687 ),
inference(avatar_split_clause,[],[f9961,f9957,f250,f7887]) ).
fof(f7887,plain,
( spl6_604
<=> aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_604])]) ).
fof(f250,plain,
( spl6_18
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f9957,plain,
( spl6_687
<=> sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_687])]) ).
fof(f9961,plain,
( ~ aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_18
| spl6_687 ),
inference(resolution,[],[f9959,f251]) ).
fof(f251,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f9959,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| spl6_687 ),
inference(avatar_component_clause,[],[f9957]) ).
fof(f10013,plain,
( spl6_691
| ~ spl6_67
| ~ spl6_165 ),
inference(avatar_split_clause,[],[f1769,f1754,f589,f10011]) ).
fof(f10011,plain,
( spl6_691
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_691])]) ).
fof(f589,plain,
( spl6_67
<=> ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f1754,plain,
( spl6_165
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f1769,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_165 ),
inference(resolution,[],[f1755,f590]) ).
fof(f590,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f1755,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ spl6_165 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f10009,plain,
( spl6_690
| ~ spl6_67
| ~ spl6_164 ),
inference(avatar_split_clause,[],[f1762,f1750,f589,f10007]) ).
fof(f10007,plain,
( spl6_690
<=> ! [X0] :
( sz0z00 = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_690])]) ).
fof(f1750,plain,
( spl6_164
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f1762,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00)
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_164 ),
inference(resolution,[],[f1751,f590]) ).
fof(f1751,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl6_164 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f9982,plain,
( spl6_689
| ~ spl6_1
| ~ spl6_495 ),
inference(avatar_split_clause,[],[f5907,f5875,f173,f9980]) ).
fof(f9980,plain,
( spl6_689
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(sdtlbdtrb0(sK3,X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(sdtlbdtrb0(sK3,X3)))),sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X3)))))
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_689])]) ).
fof(f173,plain,
( spl6_1
<=> aVector0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f5875,plain,
( spl6_495
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtlbdtrb0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtlbdtrb0(X3,X4)))))
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
fof(f5907,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(sdtlbdtrb0(sK3,X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(sdtlbdtrb0(sK3,X3)))),sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X3)))))
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2) )
| ~ spl6_1
| ~ spl6_495 ),
inference(resolution,[],[f5876,f175]) ).
fof(f175,plain,
( aVector0(sK3)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f5876,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtlbdtrb0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtlbdtrb0(X3,X4)))))
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_495 ),
inference(avatar_component_clause,[],[f5875]) ).
fof(f9978,plain,
( spl6_688
| ~ spl6_11
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f1812,f1806,f219,f9976]) ).
fof(f9976,plain,
( spl6_688
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(smndt0(X3),X0),sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtpldt0(sdtasdt0(smndt0(X3),X1),sdtasdt0(smndt0(X3),sdtlbdtrb0(sK3,X2))),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_688])]) ).
fof(f219,plain,
( spl6_11
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f1806,plain,
( spl6_169
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f1812,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(smndt0(X3),X0),sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtpldt0(sdtasdt0(smndt0(X3),X1),sdtasdt0(smndt0(X3),sdtlbdtrb0(sK3,X2))),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_169 ),
inference(resolution,[],[f1807,f220]) ).
fof(f220,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f1807,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X3)))) )
| ~ spl6_169 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f9960,plain,
( ~ spl6_575
| ~ spl6_576
| ~ spl6_490
| ~ spl6_687
| spl6_2
| ~ spl6_50
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f1699,f1694,f464,f178,f9957,f5786,f6861,f6857]) ).
fof(f6857,plain,
( spl6_575
<=> aScalar0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_575])]) ).
fof(f6861,plain,
( spl6_576
<=> aScalar0(sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_576])]) ).
fof(f5786,plain,
( spl6_490
<=> sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
fof(f178,plain,
( spl6_2
<=> sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f464,plain,
( spl6_50
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f1694,plain,
( spl6_159
<=> sdtasasdt0(sK3,sK3) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)),sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f1699,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| ~ spl6_50
| ~ spl6_159 ),
inference(superposition,[],[f465,f1696]) ).
fof(f1696,plain,
( sdtasasdt0(sK3,sK3) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)),sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| ~ spl6_159 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f465,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f9940,plain,
( spl6_686
| ~ spl6_1
| ~ spl6_488 ),
inference(avatar_split_clause,[],[f5794,f5778,f173,f9938]) ).
fof(f9938,plain,
( spl6_686
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(sdtasasdt0(sK3,sK3)))),sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_686])]) ).
fof(f5778,plain,
( spl6_488
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtasasdt0(X3,X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtasasdt0(X3,X3)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasasdt0(X3,X3)))))
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
fof(f5794,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(sdtasasdt0(sK3,sK3)))),sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3)))))
| ~ aScalar0(X2) )
| ~ spl6_1
| ~ spl6_488 ),
inference(resolution,[],[f5779,f175]) ).
fof(f5779,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtasasdt0(X3,X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtasasdt0(X3,X3)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasasdt0(X3,X3)))))
| ~ aScalar0(X0) )
| ~ spl6_488 ),
inference(avatar_component_clause,[],[f5778]) ).
fof(f9798,plain,
( spl6_685
| ~ spl6_4
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f1932,f1866,f188,f9796]) ).
fof(f9796,plain,
( spl6_685
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_685])]) ).
fof(f188,plain,
( spl6_4
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f1866,plain,
( spl6_178
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f1932,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sz0z00)) )
| ~ spl6_4
| ~ spl6_178 ),
inference(resolution,[],[f1867,f190]) ).
fof(f190,plain,
( aScalar0(sz0z00)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f1867,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl6_178 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f9794,plain,
( spl6_684
| ~ spl6_4
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f1924,f1862,f188,f9792]) ).
fof(f9792,plain,
( spl6_684
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_684])]) ).
fof(f1862,plain,
( spl6_177
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f1924,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl6_4
| ~ spl6_177 ),
inference(resolution,[],[f1863,f190]) ).
fof(f1863,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl6_177 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f9766,plain,
( spl6_683
| ~ spl6_4
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f1918,f1858,f188,f9764]) ).
fof(f9764,plain,
( spl6_683
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_683])]) ).
fof(f1858,plain,
( spl6_176
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f1918,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sz0z00)) )
| ~ spl6_4
| ~ spl6_176 ),
inference(resolution,[],[f1859,f190]) ).
fof(f1859,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl6_176 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f9762,plain,
( spl6_682
| ~ spl6_4
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f1912,f1854,f188,f9760]) ).
fof(f9760,plain,
( spl6_682
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_682])]) ).
fof(f1854,plain,
( spl6_175
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f1912,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) )
| ~ spl6_4
| ~ spl6_175 ),
inference(resolution,[],[f1855,f190]) ).
fof(f1855,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,X1),sz0z00) )
| ~ spl6_175 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f9758,plain,
( spl6_681
| ~ spl6_11
| ~ spl6_165 ),
inference(avatar_split_clause,[],[f1767,f1754,f219,f9756]) ).
fof(f9756,plain,
( spl6_681
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_681])]) ).
fof(f1767,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_165 ),
inference(resolution,[],[f1755,f220]) ).
fof(f9754,plain,
( spl6_680
| ~ spl6_11
| ~ spl6_164 ),
inference(avatar_split_clause,[],[f1760,f1750,f219,f9752]) ).
fof(f9752,plain,
( spl6_680
<=> ! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_680])]) ).
fof(f1760,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_164 ),
inference(resolution,[],[f1751,f220]) ).
fof(f9750,plain,
( spl6_679
| ~ spl6_23
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f1735,f1729,f270,f9748]) ).
fof(f9748,plain,
( spl6_679
<=> ! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_679])]) ).
fof(f270,plain,
( spl6_23
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f1729,plain,
( spl6_162
<=> ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f1735,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ spl6_23
| ~ spl6_162 ),
inference(resolution,[],[f1730,f271]) ).
fof(f271,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f1730,plain,
( ! [X0] :
( sP2(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl6_162 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f9746,plain,
( spl6_678
| ~ spl6_22
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f1734,f1729,f266,f9744]) ).
fof(f9744,plain,
( spl6_678
<=> ! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_678])]) ).
fof(f266,plain,
( spl6_22
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f1734,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(X0,X0),sz0z00) )
| ~ spl6_22
| ~ spl6_162 ),
inference(resolution,[],[f1730,f267]) ).
fof(f267,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f9691,plain,
( spl6_677
| ~ spl6_1
| ~ spl6_481 ),
inference(avatar_split_clause,[],[f5709,f5653,f173,f9689]) ).
fof(f9689,plain,
( spl6_677
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sdtlbdtrb0(sK3,X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X2)),sdtasdt0(X0,sz0z00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_677])]) ).
fof(f5653,plain,
( spl6_481
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtlbdtrb0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
fof(f5709,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sdtlbdtrb0(sK3,X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X2)),sdtasdt0(X0,sz0z00))) )
| ~ spl6_1
| ~ spl6_481 ),
inference(resolution,[],[f5654,f175]) ).
fof(f5654,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtlbdtrb0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sz0z00))) )
| ~ spl6_481 ),
inference(avatar_component_clause,[],[f5653]) ).
fof(f9687,plain,
( spl6_676
| ~ spl6_165
| ~ spl6_577 ),
inference(avatar_split_clause,[],[f6935,f6865,f1754,f9684]) ).
fof(f9684,plain,
( spl6_676
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(sK3,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_676])]) ).
fof(f6865,plain,
( spl6_577
<=> aScalar0(sdtasasdt0(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_577])]) ).
fof(f6935,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(sK3,sK3)))
| ~ spl6_165
| ~ spl6_577 ),
inference(resolution,[],[f6867,f1755]) ).
fof(f6867,plain,
( aScalar0(sdtasasdt0(sK3,sK3))
| ~ spl6_577 ),
inference(avatar_component_clause,[],[f6865]) ).
fof(f9682,plain,
( spl6_675
| ~ spl6_1
| ~ spl6_476 ),
inference(avatar_split_clause,[],[f5668,f5633,f173,f9680]) ).
fof(f9680,plain,
( spl6_675
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtasasdt0(sK3,sK3))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_675])]) ).
fof(f5633,plain,
( spl6_476
<=> ! [X0,X3,X2,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,sdtasasdt0(X0,X0))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,sdtasasdt0(X0,X0))),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasasdt0(X0,X0))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
fof(f5668,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtasasdt0(sK3,sK3))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_476 ),
inference(resolution,[],[f5634,f175]) ).
fof(f5634,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,sdtasasdt0(X0,X0))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,sdtasasdt0(X0,X0))),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasasdt0(X0,X0))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_476 ),
inference(avatar_component_clause,[],[f5633]) ).
fof(f9678,plain,
( spl6_674
| ~ spl6_4
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f1809,f1806,f188,f9676]) ).
fof(f9676,plain,
( spl6_674
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(sz0z00,X0),sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X2))),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(sK3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_674])]) ).
fof(f1809,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(sz0z00,X0),sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X2))),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(sK3,X2)))) )
| ~ spl6_4
| ~ spl6_169 ),
inference(resolution,[],[f1807,f190]) ).
fof(f9623,plain,
( spl6_673
| ~ spl6_21
| ~ spl6_596
| ~ spl6_672 ),
inference(avatar_split_clause,[],[f9619,f9616,f7603,f262,f9621]) ).
fof(f9621,plain,
( spl6_673
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00))) = sdtasdt0(sdtpldt0(X1,X0),sdtasasdt0(sK3,sK3))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_673])]) ).
fof(f262,plain,
( spl6_21
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f7603,plain,
( spl6_596
<=> sP2(sdtasasdt0(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_596])]) ).
fof(f9616,plain,
( spl6_672
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_672])]) ).
fof(f9619,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00))) = sdtasdt0(sdtpldt0(X1,X0),sdtasasdt0(sK3,sK3))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_21
| ~ spl6_596
| ~ spl6_672 ),
inference(forward_demodulation,[],[f9617,f7657]) ).
fof(f7657,plain,
( sdtasasdt0(sK3,sK3) = sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3))
| ~ spl6_21
| ~ spl6_596 ),
inference(resolution,[],[f7605,f263]) ).
fof(f263,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f7605,plain,
( sP2(sdtasasdt0(sK3,sK3))
| ~ spl6_596 ),
inference(avatar_component_clause,[],[f7603]) ).
fof(f9617,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_672 ),
inference(avatar_component_clause,[],[f9616]) ).
fof(f9618,plain,
( spl6_672
| ~ spl6_1
| ~ spl6_198
| ~ spl6_470 ),
inference(avatar_split_clause,[],[f5593,f5504,f2034,f173,f9616]) ).
fof(f2034,plain,
( spl6_198
<=> ! [X0] :
( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f5504,plain,
( spl6_470
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasasdt0(X2,X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtasasdt0(X2,X2)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).
fof(f5593,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_198
| ~ spl6_470 ),
inference(forward_demodulation,[],[f5590,f2102]) ).
fof(f2102,plain,
( sdtpldt0(sdtasasdt0(sK3,sK3),sz0z00) = sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3))
| ~ spl6_1
| ~ spl6_198 ),
inference(resolution,[],[f2035,f175]) ).
fof(f2035,plain,
( ! [X0] :
( ~ aVector0(X0)
| sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ spl6_198 ),
inference(avatar_component_clause,[],[f2034]) ).
fof(f5590,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sdtasasdt0(sK3,sK3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sz0z00)),sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00))) )
| ~ spl6_1
| ~ spl6_470 ),
inference(resolution,[],[f5505,f175]) ).
fof(f5505,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasasdt0(X2,X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtasasdt0(X2,X2)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),sdtasdt0(X1,sz0z00))) )
| ~ spl6_470 ),
inference(avatar_component_clause,[],[f5504]) ).
fof(f9614,plain,
( spl6_671
| ~ spl6_1
| ~ spl6_469 ),
inference(avatar_split_clause,[],[f5587,f5500,f173,f9612]) ).
fof(f9612,plain,
( spl6_671
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))),sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_671])]) ).
fof(f5500,plain,
( spl6_469
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).
fof(f5587,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))),sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_469 ),
inference(resolution,[],[f5501,f175]) ).
fof(f5501,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_469 ),
inference(avatar_component_clause,[],[f5500]) ).
fof(f9610,plain,
( spl6_670
| ~ spl6_1
| ~ spl6_465 ),
inference(avatar_split_clause,[],[f5570,f5484,f173,f9608]) ).
fof(f9608,plain,
( spl6_670
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))),sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_670])]) ).
fof(f5484,plain,
( spl6_465
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
fof(f5570,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))),sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_465 ),
inference(resolution,[],[f5485,f175]) ).
fof(f5485,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_465 ),
inference(avatar_component_clause,[],[f5484]) ).
fof(f9591,plain,
( spl6_669
| ~ spl6_164
| ~ spl6_577 ),
inference(avatar_split_clause,[],[f6934,f6865,f1750,f9588]) ).
fof(f9588,plain,
( spl6_669
<=> sz0z00 = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_669])]) ).
fof(f6934,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),sz0z00)
| ~ spl6_164
| ~ spl6_577 ),
inference(resolution,[],[f6867,f1751]) ).
fof(f9521,plain,
( spl6_668
| ~ spl6_1
| ~ spl6_458 ),
inference(avatar_split_clause,[],[f5432,f5417,f173,f9519]) ).
fof(f9519,plain,
( spl6_668
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(sK3,sK3))),sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_668])]) ).
fof(f5417,plain,
( spl6_458
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X3,X3))),sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
fof(f5432,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(sK3,sK3))),sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_458 ),
inference(resolution,[],[f5418,f175]) ).
fof(f5418,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X3,X3))),sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_458 ),
inference(avatar_component_clause,[],[f5417]) ).
fof(f9517,plain,
( spl6_667
| ~ spl6_1
| ~ spl6_457 ),
inference(avatar_split_clause,[],[f5424,f5413,f173,f9515]) ).
fof(f9515,plain,
( spl6_667
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(sK3,sK3))),sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_667])]) ).
fof(f5413,plain,
( spl6_457
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X3,X3))),sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
fof(f5424,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(sK3,sK3))),sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_457 ),
inference(resolution,[],[f5414,f175]) ).
fof(f5414,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X3,X3))),sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_457 ),
inference(avatar_component_clause,[],[f5413]) ).
fof(f9513,plain,
( spl6_666
| ~ spl6_30
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f1747,f1740,f304,f9511]) ).
fof(f9511,plain,
( spl6_666
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtlbdtrb0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtlbdtrb0(X2,X3),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_666])]) ).
fof(f304,plain,
( spl6_30
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f1740,plain,
( spl6_163
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),sdtasdt0(X0,sdtlbdtrb0(sK3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f1747,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtlbdtrb0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtlbdtrb0(X2,X3),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_163 ),
inference(resolution,[],[f1741,f305]) ).
fof(f305,plain,
( ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f1741,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),sdtasdt0(X0,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_163 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f9486,plain,
( spl6_665
| ~ spl6_32
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f1745,f1740,f312,f9484]) ).
fof(f9484,plain,
( spl6_665
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtasdt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtasdt0(X2,X3),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_665])]) ).
fof(f312,plain,
( spl6_32
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f1745,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtasdt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtasdt0(X2,X3),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_163 ),
inference(resolution,[],[f1741,f313]) ).
fof(f313,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f9482,plain,
( spl6_664
| ~ spl6_31
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f1744,f1740,f308,f9480]) ).
fof(f9480,plain,
( spl6_664
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtpldt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtpldt0(X2,X3),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_664])]) ).
fof(f308,plain,
( spl6_31
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f1744,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtpldt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtpldt0(X2,X3),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_163 ),
inference(resolution,[],[f1741,f309]) ).
fof(f309,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f9478,plain,
( spl6_663
| ~ spl6_30
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1712,f1690,f304,f9476]) ).
fof(f9476,plain,
( spl6_663
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtlbdtrb0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtlbdtrb0(X2,X3),X0),sdtasdt0(sdtlbdtrb0(X2,X3),sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_663])]) ).
fof(f1690,plain,
( spl6_158
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,sdtpldt0(X0,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f1712,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtlbdtrb0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtlbdtrb0(X2,X3),X0),sdtasdt0(sdtlbdtrb0(X2,X3),sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_158 ),
inference(resolution,[],[f1691,f305]) ).
fof(f1691,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,sdtpldt0(X0,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_158 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f9474,plain,
( spl6_662
| ~ spl6_32
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1710,f1690,f312,f9472]) ).
fof(f9472,plain,
( spl6_662
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtasdt0(X2,X3),X0),sdtasdt0(sdtasdt0(X2,X3),sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_662])]) ).
fof(f1710,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtasdt0(X2,X3),X0),sdtasdt0(sdtasdt0(X2,X3),sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_158 ),
inference(resolution,[],[f1691,f313]) ).
fof(f9470,plain,
( spl6_661
| ~ spl6_31
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1709,f1690,f308,f9468]) ).
fof(f9468,plain,
( spl6_661
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtpldt0(X2,X3),X0),sdtasdt0(sdtpldt0(X2,X3),sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_661])]) ).
fof(f1709,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtpldt0(X2,X3),X0),sdtasdt0(sdtpldt0(X2,X3),sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_158 ),
inference(resolution,[],[f1691,f309]) ).
fof(f9438,plain,
( spl6_660
| ~ spl6_1
| ~ spl6_455 ),
inference(avatar_split_clause,[],[f5395,f5360,f173,f9436]) ).
fof(f9436,plain,
( spl6_660
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_660])]) ).
fof(f5360,plain,
( spl6_455
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
fof(f5395,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_455 ),
inference(resolution,[],[f5361,f175]) ).
fof(f5361,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_455 ),
inference(avatar_component_clause,[],[f5360]) ).
fof(f9410,plain,
( spl6_659
| ~ spl6_1
| ~ spl6_452 ),
inference(avatar_split_clause,[],[f5378,f5348,f173,f9408]) ).
fof(f9408,plain,
( spl6_659
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_659])]) ).
fof(f5348,plain,
( spl6_452
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).
fof(f5378,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_452 ),
inference(resolution,[],[f5349,f175]) ).
fof(f5349,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_452 ),
inference(avatar_component_clause,[],[f5348]) ).
fof(f9406,plain,
( spl6_658
| ~ spl6_67
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f1748,f1740,f589,f9404]) ).
fof(f9404,plain,
( spl6_658
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtasasdt0(X2,X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_658])]) ).
fof(f1748,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sdtasasdt0(X2,X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_163 ),
inference(resolution,[],[f1741,f590]) ).
fof(f9402,plain,
( spl6_657
| ~ spl6_67
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1713,f1690,f589,f9400]) ).
fof(f9400,plain,
( spl6_657
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasasdt0(X2,X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtasdt0(sdtasasdt0(X2,X2),sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_657])]) ).
fof(f1713,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasasdt0(X2,X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtasdt0(sdtasasdt0(X2,X2),sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_158 ),
inference(resolution,[],[f1691,f590]) ).
fof(f9396,plain,
( ~ spl6_655
| spl6_656
| ~ spl6_10
| ~ spl6_183 ),
inference(avatar_split_clause,[],[f1996,f1887,f215,f9393,f9389]) ).
fof(f9389,plain,
( spl6_655
<=> aNaturalNumber0(sK5(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_655])]) ).
fof(f9393,plain,
( spl6_656
<=> aNaturalNumber0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_656])]) ).
fof(f215,plain,
( spl6_10
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f1887,plain,
( spl6_183
<=> szszuzczcdt0(sz00) = szszuzczcdt0(sK5(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f1996,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK5(szszuzczcdt0(sz00)))
| ~ spl6_10
| ~ spl6_183 ),
inference(superposition,[],[f216,f1889]) ).
fof(f1889,plain,
( szszuzczcdt0(sz00) = szszuzczcdt0(sK5(szszuzczcdt0(sz00)))
| ~ spl6_183 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f216,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f9376,plain,
( spl6_654
| ~ spl6_1
| ~ spl6_444 ),
inference(avatar_split_clause,[],[f5312,f5259,f173,f9374]) ).
fof(f9374,plain,
( spl6_654
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X2))),sdtasdt0(X1,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_654])]) ).
fof(f5259,plain,
( spl6_444
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtlbdtrb0(X2,X3))),sdtasdt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
fof(f5312,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X2))),sdtasdt0(X1,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_444 ),
inference(resolution,[],[f5260,f175]) ).
fof(f5260,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtlbdtrb0(X2,X3))),sdtasdt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_444 ),
inference(avatar_component_clause,[],[f5259]) ).
fof(f9342,plain,
( spl6_653
| ~ spl6_23
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f7659,f7603,f270,f9339]) ).
fof(f9339,plain,
( spl6_653
<=> sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_653])]) ).
fof(f7659,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3))
| ~ spl6_23
| ~ spl6_596 ),
inference(resolution,[],[f7605,f271]) ).
fof(f9242,plain,
( spl6_652
| ~ spl6_22
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f7658,f7603,f266,f9239]) ).
fof(f9239,plain,
( spl6_652
<=> sz0z00 = sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_652])]) ).
fof(f7658,plain,
( sz0z00 = sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00)
| ~ spl6_22
| ~ spl6_596 ),
inference(resolution,[],[f7605,f267]) ).
fof(f9226,plain,
( spl6_651
| ~ spl6_1
| ~ spl6_435 ),
inference(avatar_split_clause,[],[f5105,f4988,f173,f9224]) ).
fof(f9224,plain,
( spl6_651
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_651])]) ).
fof(f4988,plain,
( spl6_435
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).
fof(f5105,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_435 ),
inference(resolution,[],[f4989,f175]) ).
fof(f4989,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_435 ),
inference(avatar_component_clause,[],[f4988]) ).
fof(f9222,plain,
( spl6_650
| ~ spl6_1
| ~ spl6_434 ),
inference(avatar_split_clause,[],[f5102,f4984,f173,f9220]) ).
fof(f9220,plain,
( spl6_650
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_650])]) ).
fof(f4984,plain,
( spl6_434
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).
fof(f5102,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_434 ),
inference(resolution,[],[f4985,f175]) ).
fof(f4985,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_434 ),
inference(avatar_component_clause,[],[f4984]) ).
fof(f9218,plain,
( spl6_649
| ~ spl6_1
| ~ spl6_433 ),
inference(avatar_split_clause,[],[f5097,f4963,f173,f9216]) ).
fof(f9216,plain,
( spl6_649
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_649])]) ).
fof(f4963,plain,
( spl6_433
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).
fof(f5097,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_433 ),
inference(resolution,[],[f4964,f175]) ).
fof(f4964,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_433 ),
inference(avatar_component_clause,[],[f4963]) ).
fof(f9214,plain,
( spl6_648
| ~ spl6_1
| ~ spl6_430 ),
inference(avatar_split_clause,[],[f5080,f4951,f173,f9212]) ).
fof(f9212,plain,
( spl6_648
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(sK3,X3))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_648])]) ).
fof(f4951,plain,
( spl6_430
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).
fof(f5080,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(sK3,X3))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_430 ),
inference(resolution,[],[f4952,f175]) ).
fof(f4952,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_430 ),
inference(avatar_component_clause,[],[f4951]) ).
fof(f9210,plain,
( spl6_647
| ~ spl6_1
| ~ spl6_427 ),
inference(avatar_split_clause,[],[f5063,f4939,f173,f9208]) ).
fof(f9208,plain,
( spl6_647
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_647])]) ).
fof(f4939,plain,
( spl6_427
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).
fof(f5063,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_427 ),
inference(resolution,[],[f4940,f175]) ).
fof(f4940,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_427 ),
inference(avatar_component_clause,[],[f4939]) ).
fof(f9206,plain,
( spl6_646
| ~ spl6_1
| ~ spl6_424 ),
inference(avatar_split_clause,[],[f5046,f4927,f173,f9204]) ).
fof(f9204,plain,
( spl6_646
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_646])]) ).
fof(f4927,plain,
( spl6_424
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).
fof(f5046,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(sK3,X3))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtlbdtrb0(sK3,X3))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_424 ),
inference(resolution,[],[f4928,f175]) ).
fof(f4928,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X0) )
| ~ spl6_424 ),
inference(avatar_component_clause,[],[f4927]) ).
fof(f9202,plain,
( spl6_645
| ~ spl6_11
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f1746,f1740,f219,f9200]) ).
fof(f9200,plain,
( spl6_645
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(smndt0(X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(smndt0(X2),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_645])]) ).
fof(f1746,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(smndt0(X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(smndt0(X2),sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_163 ),
inference(resolution,[],[f1741,f220]) ).
fof(f9198,plain,
( spl6_644
| ~ spl6_30
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1687,f1674,f304,f9196]) ).
fof(f9196,plain,
( spl6_644
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtlbdtrb0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtlbdtrb0(X2,X3),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_644])]) ).
fof(f1674,plain,
( spl6_157
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtlbdtrb0(sK3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f1687,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtlbdtrb0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtlbdtrb0(X2,X3),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_157 ),
inference(resolution,[],[f1675,f305]) ).
fof(f1675,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_157 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f9194,plain,
( spl6_643
| ~ spl6_32
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1685,f1674,f312,f9192]) ).
fof(f9192,plain,
( spl6_643
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtasdt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtasdt0(X2,X3),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_643])]) ).
fof(f1685,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtasdt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtasdt0(X2,X3),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_157 ),
inference(resolution,[],[f1675,f313]) ).
fof(f9183,plain,
( spl6_642
| ~ spl6_31
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1684,f1674,f308,f9181]) ).
fof(f9181,plain,
( spl6_642
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtpldt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtpldt0(X2,X3),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_642])]) ).
fof(f1684,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtpldt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtpldt0(X2,X3),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_157 ),
inference(resolution,[],[f1675,f309]) ).
fof(f9179,plain,
( spl6_641
| ~ spl6_30
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1681,f1670,f304,f9177]) ).
fof(f9177,plain,
( spl6_641
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtlbdtrb0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtlbdtrb0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_641])]) ).
fof(f1670,plain,
( spl6_156
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtlbdtrb0(sK3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f1681,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtlbdtrb0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtlbdtrb0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_156 ),
inference(resolution,[],[f1671,f305]) ).
fof(f1671,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_156 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f9175,plain,
( spl6_640
| ~ spl6_32
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1679,f1670,f312,f9173]) ).
fof(f9173,plain,
( spl6_640
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtasdt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_640])]) ).
fof(f1679,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtasdt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_156 ),
inference(resolution,[],[f1671,f313]) ).
fof(f9171,plain,
( spl6_639
| ~ spl6_31
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1678,f1670,f308,f9169]) ).
fof(f9169,plain,
( spl6_639
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtpldt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtpldt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_639])]) ).
fof(f1678,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtpldt0(X2,X3),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtpldt0(X2,X3),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_156 ),
inference(resolution,[],[f1671,f309]) ).
fof(f9137,plain,
( spl6_638
| ~ spl6_1
| ~ spl6_420 ),
inference(avatar_split_clause,[],[f4910,f4907,f173,f9135]) ).
fof(f9135,plain,
( spl6_638
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))),sdtasdt0(X1,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_638])]) ).
fof(f4907,plain,
( spl6_420
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasasdt0(X2,X2))),sdtasdt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).
fof(f4910,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))),sdtasdt0(X1,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_420 ),
inference(resolution,[],[f4908,f175]) ).
fof(f4908,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasasdt0(X2,X2))),sdtasdt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aScalar0(X0) )
| ~ spl6_420 ),
inference(avatar_component_clause,[],[f4907]) ).
fof(f9133,plain,
( spl6_637
| ~ spl6_11
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1711,f1690,f219,f9131]) ).
fof(f9131,plain,
( spl6_637
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(smndt0(X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(smndt0(X2),X0),sdtasdt0(smndt0(X2),sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_637])]) ).
fof(f1711,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(smndt0(X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(smndt0(X2),X0),sdtasdt0(smndt0(X2),sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_158 ),
inference(resolution,[],[f1691,f220]) ).
fof(f9099,plain,
( spl6_636
| ~ spl6_6
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f7234,f6857,f197,f9096]) ).
fof(f9096,plain,
( spl6_636
<=> sP2(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_636])]) ).
fof(f197,plain,
( spl6_6
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f7234,plain,
( sP2(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| ~ spl6_6
| ~ spl6_575 ),
inference(resolution,[],[f6858,f198]) ).
fof(f198,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f6858,plain,
( aScalar0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| ~ spl6_575 ),
inference(avatar_component_clause,[],[f6857]) ).
fof(f9047,plain,
( spl6_635
| ~ spl6_1
| ~ spl6_416 ),
inference(avatar_split_clause,[],[f4884,f4841,f173,f9045]) ).
fof(f9045,plain,
( spl6_635
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,sdtasasdt0(sK3,sK3))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_635])]) ).
fof(f4841,plain,
( spl6_416
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).
fof(f4884,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,sdtasasdt0(sK3,sK3))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_416 ),
inference(resolution,[],[f4842,f175]) ).
fof(f4842,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_416 ),
inference(avatar_component_clause,[],[f4841]) ).
fof(f9043,plain,
( spl6_634
| ~ spl6_1
| ~ spl6_415 ),
inference(avatar_split_clause,[],[f4881,f4837,f173,f9041]) ).
fof(f9041,plain,
( spl6_634
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_634])]) ).
fof(f4837,plain,
( spl6_415
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).
fof(f4881,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_415 ),
inference(resolution,[],[f4838,f175]) ).
fof(f4838,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_415 ),
inference(avatar_component_clause,[],[f4837]) ).
fof(f9039,plain,
( spl6_633
| ~ spl6_1
| ~ spl6_414 ),
inference(avatar_split_clause,[],[f4878,f4833,f173,f9037]) ).
fof(f9037,plain,
( spl6_633
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_633])]) ).
fof(f4833,plain,
( spl6_414
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).
fof(f4878,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_414 ),
inference(resolution,[],[f4834,f175]) ).
fof(f4834,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_414 ),
inference(avatar_component_clause,[],[f4833]) ).
fof(f9035,plain,
( spl6_632
| ~ spl6_1
| ~ spl6_413 ),
inference(avatar_split_clause,[],[f4873,f4829,f173,f9033]) ).
fof(f9033,plain,
( spl6_632
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_632])]) ).
fof(f4829,plain,
( spl6_413
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).
fof(f4873,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasasdt0(sK3,sK3))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_413 ),
inference(resolution,[],[f4830,f175]) ).
fof(f4830,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X3)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_413 ),
inference(avatar_component_clause,[],[f4829]) ).
fof(f9031,plain,
( spl6_631
| ~ spl6_1
| ~ spl6_412 ),
inference(avatar_split_clause,[],[f4870,f4825,f173,f9029]) ).
fof(f9029,plain,
( spl6_631
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(sdtlbdtrb0(sK3,X2)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_631])]) ).
fof(f4825,plain,
( spl6_412
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtlbdtrb0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).
fof(f4870,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(sdtlbdtrb0(sK3,X2)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_412 ),
inference(resolution,[],[f4826,f175]) ).
fof(f4826,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtlbdtrb0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_412 ),
inference(avatar_component_clause,[],[f4825]) ).
fof(f9020,plain,
( spl6_630
| ~ spl6_67
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1688,f1674,f589,f9018]) ).
fof(f9018,plain,
( spl6_630
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtasasdt0(X2,X2),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_630])]) ).
fof(f1688,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtasasdt0(X2,X2),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_157 ),
inference(resolution,[],[f1675,f590]) ).
fof(f9016,plain,
( spl6_629
| ~ spl6_67
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1682,f1670,f589,f9014]) ).
fof(f9014,plain,
( spl6_629
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtasasdt0(X2,X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasasdt0(X2,X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_629])]) ).
fof(f1682,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtasasdt0(X2,X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasasdt0(X2,X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_156 ),
inference(resolution,[],[f1671,f590]) ).
fof(f8920,plain,
( spl6_628
| ~ spl6_6
| ~ spl6_604 ),
inference(avatar_split_clause,[],[f8415,f7887,f197,f8917]) ).
fof(f8917,plain,
( spl6_628
<=> sP2(sdtlbdtrb0(sK3,aDimensionOf0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_628])]) ).
fof(f8415,plain,
( sP2(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_6
| ~ spl6_604 ),
inference(resolution,[],[f7888,f198]) ).
fof(f7888,plain,
( aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_604 ),
inference(avatar_component_clause,[],[f7887]) ).
fof(f8381,plain,
( spl6_627
| ~ spl6_1
| ~ spl6_396 ),
inference(avatar_split_clause,[],[f4678,f4465,f173,f8379]) ).
fof(f8379,plain,
( spl6_627
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_627])]) ).
fof(f4465,plain,
( spl6_396
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasasdt0(X2,X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
fof(f4678,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(sdtasasdt0(sK3,sK3)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_396 ),
inference(resolution,[],[f4466,f175]) ).
fof(f4466,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasasdt0(X2,X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasasdt0(X2,X2))))
| ~ aScalar0(X0) )
| ~ spl6_396 ),
inference(avatar_component_clause,[],[f4465]) ).
fof(f8377,plain,
( spl6_626
| ~ spl6_1
| ~ spl6_395 ),
inference(avatar_split_clause,[],[f4675,f4461,f173,f8375]) ).
fof(f8375,plain,
( spl6_626
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(sdtlbdtrb0(sK3,X2))) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_626])]) ).
fof(f4461,plain,
( spl6_395
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
fof(f4675,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(sdtlbdtrb0(sK3,X2))) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_395 ),
inference(resolution,[],[f4462,f175]) ).
fof(f4462,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_395 ),
inference(avatar_component_clause,[],[f4461]) ).
fof(f8373,plain,
( spl6_625
| ~ spl6_1
| ~ spl6_391 ),
inference(avatar_split_clause,[],[f4658,f4444,f173,f8371]) ).
fof(f8371,plain,
( spl6_625
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(sK3,X2))) = sdtpldt0(X0,sdtpldt0(X1,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_625])]) ).
fof(f4444,plain,
( spl6_391
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
fof(f4658,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(sK3,X2))) = sdtpldt0(X0,sdtpldt0(X1,smndt0(sdtlbdtrb0(sK3,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_391 ),
inference(resolution,[],[f4445,f175]) ).
fof(f4445,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_391 ),
inference(avatar_component_clause,[],[f4444]) ).
fof(f8369,plain,
( spl6_624
| ~ spl6_1
| ~ spl6_388 ),
inference(avatar_split_clause,[],[f4641,f4432,f173,f8367]) ).
fof(f8367,plain,
( spl6_624
<=> ! [X2,X0,X1] :
( sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_624])]) ).
fof(f4432,plain,
( spl6_388
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
fof(f4641,plain,
( ! [X2,X0,X1] :
( sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_388 ),
inference(resolution,[],[f4433,f175]) ).
fof(f4433,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_388 ),
inference(avatar_component_clause,[],[f4432]) ).
fof(f8365,plain,
( spl6_623
| ~ spl6_1
| ~ spl6_385 ),
inference(avatar_split_clause,[],[f4624,f4420,f173,f8363]) ).
fof(f8363,plain,
( spl6_623
<=> ! [X2,X0,X1] :
( sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_623])]) ).
fof(f4420,plain,
( spl6_385
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
fof(f4624,plain,
( ! [X2,X0,X1] :
( sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_385 ),
inference(resolution,[],[f4421,f175]) ).
fof(f4421,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_385 ),
inference(avatar_component_clause,[],[f4420]) ).
fof(f7990,plain,
( ~ spl6_1
| ~ spl6_77
| ~ spl6_30
| spl6_604 ),
inference(avatar_split_clause,[],[f7949,f7887,f304,f765,f173]) ).
fof(f765,plain,
( spl6_77
<=> aNaturalNumber0(aDimensionOf0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f7949,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK3))
| ~ aVector0(sK3)
| ~ spl6_30
| spl6_604 ),
inference(resolution,[],[f7889,f305]) ).
fof(f7889,plain,
( ~ aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| spl6_604 ),
inference(avatar_component_clause,[],[f7887]) ).
fof(f7989,plain,
( spl6_622
| ~ spl6_1
| ~ spl6_382 ),
inference(avatar_split_clause,[],[f4601,f4403,f173,f7987]) ).
fof(f7987,plain,
( spl6_622
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_622])]) ).
fof(f4403,plain,
( spl6_382
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
fof(f4601,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_382 ),
inference(resolution,[],[f4404,f175]) ).
fof(f4404,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_382 ),
inference(avatar_component_clause,[],[f4403]) ).
fof(f7985,plain,
( spl6_621
| ~ spl6_1
| ~ spl6_379 ),
inference(avatar_split_clause,[],[f4584,f4391,f173,f7983]) ).
fof(f7983,plain,
( spl6_621
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_621])]) ).
fof(f4391,plain,
( spl6_379
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).
fof(f4584,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_379 ),
inference(resolution,[],[f4392,f175]) ).
fof(f4392,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_379 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f7981,plain,
( spl6_620
| ~ spl6_1
| ~ spl6_376 ),
inference(avatar_split_clause,[],[f4552,f4379,f173,f7979]) ).
fof(f7979,plain,
( spl6_620
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_620])]) ).
fof(f4379,plain,
( spl6_376
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).
fof(f4552,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_376 ),
inference(resolution,[],[f4380,f175]) ).
fof(f4380,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_376 ),
inference(avatar_component_clause,[],[f4379]) ).
fof(f7977,plain,
( spl6_619
| ~ spl6_1
| ~ spl6_373 ),
inference(avatar_split_clause,[],[f4535,f4367,f173,f7975]) ).
fof(f7975,plain,
( spl6_619
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_619])]) ).
fof(f4367,plain,
( spl6_373
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
fof(f4535,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_373 ),
inference(resolution,[],[f4368,f175]) ).
fof(f4368,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X0) )
| ~ spl6_373 ),
inference(avatar_component_clause,[],[f4367]) ).
fof(f7973,plain,
( spl6_618
| ~ spl6_1
| ~ spl6_369 ),
inference(avatar_split_clause,[],[f4517,f4350,f173,f7971]) ).
fof(f7971,plain,
( spl6_618
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasasdt0(sK3,sK3)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_618])]) ).
fof(f4350,plain,
( spl6_369
<=> ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtasasdt0(X0,X0)) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(X0,X0)),sdtasdt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
fof(f4517,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasasdt0(sK3,sK3)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_369 ),
inference(resolution,[],[f4351,f175]) ).
fof(f4351,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtasasdt0(X0,X0)) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(X0,X0)),sdtasdt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_369 ),
inference(avatar_component_clause,[],[f4350]) ).
fof(f7969,plain,
( spl6_617
| ~ spl6_4
| ~ spl6_163 ),
inference(avatar_split_clause,[],[f1743,f1740,f188,f7967]) ).
fof(f7967,plain,
( spl6_617
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sz0z00,X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_617])]) ).
fof(f1743,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(sz0z00,X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) )
| ~ spl6_4
| ~ spl6_163 ),
inference(resolution,[],[f1741,f190]) ).
fof(f7965,plain,
( spl6_616
| ~ spl6_11
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1686,f1674,f219,f7963]) ).
fof(f7963,plain,
( spl6_616
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(smndt0(X2),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(smndt0(X2),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_616])]) ).
fof(f1686,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(smndt0(X2),X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(smndt0(X2),sdtasdt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_157 ),
inference(resolution,[],[f1675,f220]) ).
fof(f7961,plain,
( spl6_615
| ~ spl6_11
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1680,f1670,f219,f7959]) ).
fof(f7959,plain,
( spl6_615
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(smndt0(X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(smndt0(X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_615])]) ).
fof(f1680,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(smndt0(X2),X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(smndt0(X2),sdtpldt0(X0,sdtlbdtrb0(sK3,X1)))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_156 ),
inference(resolution,[],[f1671,f220]) ).
fof(f7957,plain,
( spl6_614
| ~ spl6_30
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1654,f1634,f304,f7955]) ).
fof(f7955,plain,
( spl6_614
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),sdtlbdtrb0(sK3,X0))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_614])]) ).
fof(f1634,plain,
( spl6_153
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| smndt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(sK3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f1654,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),sdtlbdtrb0(sK3,X0))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_153 ),
inference(resolution,[],[f1635,f305]) ).
fof(f1635,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| smndt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(sK3,X1)) )
| ~ spl6_153 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f7953,plain,
( spl6_613
| ~ spl6_32
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1652,f1634,f312,f7951]) ).
fof(f7951,plain,
( spl6_613
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),sdtlbdtrb0(sK3,X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_613])]) ).
fof(f1652,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),sdtlbdtrb0(sK3,X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_153 ),
inference(resolution,[],[f1635,f313]) ).
fof(f7948,plain,
( spl6_612
| ~ spl6_31
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1651,f1634,f308,f7946]) ).
fof(f7946,plain,
( spl6_612
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),sdtlbdtrb0(sK3,X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_612])]) ).
fof(f1651,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),sdtlbdtrb0(sK3,X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_153 ),
inference(resolution,[],[f1635,f309]) ).
fof(f7944,plain,
( spl6_611
| ~ spl6_30
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1648,f1630,f304,f7942]) ).
fof(f7942,plain,
( spl6_611
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(X1,X2),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_611])]) ).
fof(f1630,plain,
( spl6_152
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f1648,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(X1,X2),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_152 ),
inference(resolution,[],[f1631,f305]) ).
fof(f1631,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) )
| ~ spl6_152 ),
inference(avatar_component_clause,[],[f1630]) ).
fof(f7940,plain,
( spl6_610
| ~ spl6_32
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1646,f1630,f312,f7938]) ).
fof(f7938,plain,
( spl6_610
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_610])]) ).
fof(f1646,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_152 ),
inference(resolution,[],[f1631,f313]) ).
fof(f7936,plain,
( spl6_609
| ~ spl6_31
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1645,f1630,f308,f7934]) ).
fof(f7934,plain,
( spl6_609
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_609])]) ).
fof(f1645,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_152 ),
inference(resolution,[],[f1631,f309]) ).
fof(f7932,plain,
( spl6_608
| ~ spl6_30
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1641,f1626,f304,f7930]) ).
fof(f7930,plain,
( spl6_608
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_608])]) ).
fof(f1626,plain,
( spl6_151
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtlbdtrb0(sK3,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f1641,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_151 ),
inference(resolution,[],[f1627,f305]) ).
fof(f1627,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtlbdtrb0(sK3,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sK3,X1))) )
| ~ spl6_151 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f7928,plain,
( spl6_607
| ~ spl6_32
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1639,f1626,f312,f7926]) ).
fof(f7926,plain,
( spl6_607
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_607])]) ).
fof(f1639,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_151 ),
inference(resolution,[],[f1627,f313]) ).
fof(f7924,plain,
( spl6_606
| ~ spl6_31
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1638,f1626,f308,f7922]) ).
fof(f7922,plain,
( spl6_606
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_606])]) ).
fof(f1638,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_151 ),
inference(resolution,[],[f1627,f309]) ).
fof(f7920,plain,
( ~ spl6_4
| spl6_605
| ~ spl6_91
| ~ spl6_333 ),
inference(avatar_split_clause,[],[f3745,f3741,f974,f7918,f188]) ).
fof(f7918,plain,
( spl6_605
<=> ! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),sz00)
| sdtlseqdt0(X1,sdtasasdt0(X0,X0))
| ~ aScalar0(sdtasasdt0(X0,X0))
| sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_605])]) ).
fof(f974,plain,
( spl6_91
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
fof(f3741,plain,
( spl6_333
<=> ! [X0] :
( ~ iLess0(aDimensionOf0(X0),sz00)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
fof(f3745,plain,
( ! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),sz00)
| ~ aVector0(X0)
| sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(X1,sdtasasdt0(X0,X0)) )
| ~ spl6_91
| ~ spl6_333 ),
inference(resolution,[],[f3742,f975]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X2)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl6_91 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f3742,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),sz00)
| ~ aVector0(X0) )
| ~ spl6_333 ),
inference(avatar_component_clause,[],[f3741]) ).
fof(f7890,plain,
( ~ spl6_604
| ~ spl6_32
| spl6_576 ),
inference(avatar_split_clause,[],[f6872,f6861,f312,f7887]) ).
fof(f6872,plain,
( ~ aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_32
| spl6_576 ),
inference(duplicate_literal_removal,[],[f6871]) ).
fof(f6871,plain,
( ~ aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ aScalar0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_32
| spl6_576 ),
inference(resolution,[],[f6863,f313]) ).
fof(f6863,plain,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| spl6_576 ),
inference(avatar_component_clause,[],[f6861]) ).
fof(f7634,plain,
( spl6_603
| ~ spl6_1
| ~ spl6_365 ),
inference(avatar_split_clause,[],[f4318,f3894,f173,f7632]) ).
fof(f7632,plain,
( spl6_603
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(sdtasasdt0(sK3,sK3))) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_603])]) ).
fof(f3894,plain,
( spl6_365
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f4318,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(sdtasasdt0(sK3,sK3))) = sdtasdt0(X0,sdtasdt0(X1,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_365 ),
inference(resolution,[],[f3895,f175]) ).
fof(f3895,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aScalar0(X0) )
| ~ spl6_365 ),
inference(avatar_component_clause,[],[f3894]) ).
fof(f7630,plain,
( spl6_602
| ~ spl6_1
| ~ spl6_364 ),
inference(avatar_split_clause,[],[f4315,f3890,f173,f7628]) ).
fof(f7628,plain,
( spl6_602
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtasasdt0(sK3,sK3))) = sdtpldt0(X0,sdtpldt0(X1,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_602])]) ).
fof(f3890,plain,
( spl6_364
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f4315,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtasasdt0(sK3,sK3))) = sdtpldt0(X0,sdtpldt0(X1,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1) )
| ~ spl6_1
| ~ spl6_364 ),
inference(resolution,[],[f3891,f175]) ).
fof(f3891,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aScalar0(X0) )
| ~ spl6_364 ),
inference(avatar_component_clause,[],[f3890]) ).
fof(f7626,plain,
( spl6_601
| ~ spl6_1
| ~ spl6_363 ),
inference(avatar_split_clause,[],[f4312,f3886,f173,f7624]) ).
fof(f7624,plain,
( spl6_601
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_601])]) ).
fof(f3886,plain,
( spl6_363
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f4312,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_363 ),
inference(resolution,[],[f3887,f175]) ).
fof(f3887,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_363 ),
inference(avatar_component_clause,[],[f3886]) ).
fof(f7622,plain,
( spl6_600
| ~ spl6_1
| ~ spl6_362 ),
inference(avatar_split_clause,[],[f4309,f3881,f173,f7620]) ).
fof(f7620,plain,
( spl6_600
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_600])]) ).
fof(f3881,plain,
( spl6_362
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
fof(f4309,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_362 ),
inference(resolution,[],[f3882,f175]) ).
fof(f3882,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_362 ),
inference(avatar_component_clause,[],[f3881]) ).
fof(f7618,plain,
( spl6_599
| ~ spl6_1
| ~ spl6_361 ),
inference(avatar_split_clause,[],[f4089,f3877,f173,f7616]) ).
fof(f7616,plain,
( spl6_599
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_599])]) ).
fof(f3877,plain,
( spl6_361
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasasdt0(X2,X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
fof(f4089,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_361 ),
inference(resolution,[],[f3878,f175]) ).
fof(f3878,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasasdt0(X2,X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_361 ),
inference(avatar_component_clause,[],[f3877]) ).
fof(f7614,plain,
( spl6_598
| ~ spl6_1
| ~ spl6_360 ),
inference(avatar_split_clause,[],[f4086,f3873,f173,f7612]) ).
fof(f7612,plain,
( spl6_598
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_598])]) ).
fof(f3873,plain,
( spl6_360
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasasdt0(X2,X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
fof(f4086,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_360 ),
inference(resolution,[],[f3874,f175]) ).
fof(f3874,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasasdt0(X2,X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_360 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f7610,plain,
( spl6_597
| ~ spl6_1
| ~ spl6_359 ),
inference(avatar_split_clause,[],[f4083,f3869,f173,f7608]) ).
fof(f7608,plain,
( spl6_597
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_597])]) ).
fof(f3869,plain,
( spl6_359
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
fof(f4083,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_359 ),
inference(resolution,[],[f3870,f175]) ).
fof(f3870,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_359 ),
inference(avatar_component_clause,[],[f3869]) ).
fof(f7606,plain,
( spl6_596
| ~ spl6_6
| ~ spl6_577 ),
inference(avatar_split_clause,[],[f6874,f6865,f197,f7603]) ).
fof(f6874,plain,
( sP2(sdtasasdt0(sK3,sK3))
| ~ spl6_6
| ~ spl6_577 ),
inference(resolution,[],[f6867,f198]) ).
fof(f7601,plain,
( spl6_595
| ~ spl6_1
| ~ spl6_358 ),
inference(avatar_split_clause,[],[f4080,f3865,f173,f7599]) ).
fof(f7599,plain,
( spl6_595
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_595])]) ).
fof(f3865,plain,
( spl6_358
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f4080,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_358 ),
inference(resolution,[],[f3866,f175]) ).
fof(f3866,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_358 ),
inference(avatar_component_clause,[],[f3865]) ).
fof(f7597,plain,
( spl6_594
| ~ spl6_1
| ~ spl6_357 ),
inference(avatar_split_clause,[],[f4077,f3861,f173,f7595]) ).
fof(f7595,plain,
( spl6_594
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(X0,sdtlbdtrb0(sK3,X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtlbdtrb0(sK3,X1),sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_594])]) ).
fof(f3861,plain,
( spl6_357
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtlbdtrb0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
fof(f4077,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(X0,sdtlbdtrb0(sK3,X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtlbdtrb0(sK3,X1),sz0z00)) )
| ~ spl6_1
| ~ spl6_357 ),
inference(resolution,[],[f3862,f175]) ).
fof(f3862,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtlbdtrb0(X1,X2),sz0z00)) )
| ~ spl6_357 ),
inference(avatar_component_clause,[],[f3861]) ).
fof(f7593,plain,
( spl6_593
| ~ spl6_1
| ~ spl6_354 ),
inference(avatar_split_clause,[],[f4062,f3849,f173,f7591]) ).
fof(f7591,plain,
( spl6_593
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(sdtlbdtrb0(sK3,X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_593])]) ).
fof(f3849,plain,
( spl6_354
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtlbdtrb0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
fof(f4062,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(sdtlbdtrb0(sK3,X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1)),sdtasdt0(X0,sz0z00)) )
| ~ spl6_1
| ~ spl6_354 ),
inference(resolution,[],[f3850,f175]) ).
fof(f3850,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(sdtlbdtrb0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)),sdtasdt0(X0,sz0z00)) )
| ~ spl6_354 ),
inference(avatar_component_clause,[],[f3849]) ).
fof(f7589,plain,
( spl6_592
| ~ spl6_1
| ~ spl6_351 ),
inference(avatar_split_clause,[],[f3982,f3836,f173,f7587]) ).
fof(f7587,plain,
( spl6_592
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_592])]) ).
fof(f3836,plain,
( spl6_351
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
fof(f3982,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),X0) )
| ~ spl6_1
| ~ spl6_351 ),
inference(resolution,[],[f3837,f175]) ).
fof(f3837,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),X0) )
| ~ spl6_351 ),
inference(avatar_component_clause,[],[f3836]) ).
fof(f7585,plain,
( spl6_591
| ~ spl6_1
| ~ spl6_348 ),
inference(avatar_split_clause,[],[f3967,f3824,f173,f7583]) ).
fof(f7583,plain,
( spl6_591
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_591])]) ).
fof(f3824,plain,
( spl6_348
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
fof(f3967,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtasdt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2)),X0) )
| ~ spl6_1
| ~ spl6_348 ),
inference(resolution,[],[f3825,f175]) ).
fof(f3825,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)),X0) )
| ~ spl6_348 ),
inference(avatar_component_clause,[],[f3824]) ).
fof(f7581,plain,
( spl6_590
| ~ spl6_1
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f3952,f3812,f173,f7579]) ).
fof(f7579,plain,
( spl6_590
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_590])]) ).
fof(f3812,plain,
( spl6_345
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f3952,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),X0) )
| ~ spl6_1
| ~ spl6_345 ),
inference(resolution,[],[f3813,f175]) ).
fof(f3813,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),X0) )
| ~ spl6_345 ),
inference(avatar_component_clause,[],[f3812]) ).
fof(f7577,plain,
( spl6_589
| ~ spl6_1
| ~ spl6_342 ),
inference(avatar_split_clause,[],[f3937,f3799,f173,f7575]) ).
fof(f7575,plain,
( spl6_589
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_589])]) ).
fof(f3799,plain,
( spl6_342
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f3937,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtpldt0(X1,sdtlbdtrb0(sK3,X2)),X0) )
| ~ spl6_1
| ~ spl6_342 ),
inference(resolution,[],[f3800,f175]) ).
fof(f3800,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)),X0) )
| ~ spl6_342 ),
inference(avatar_component_clause,[],[f3799]) ).
fof(f7573,plain,
( spl6_588
| ~ spl6_1
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f3909,f3783,f173,f7571]) ).
fof(f7571,plain,
( spl6_588
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_588])]) ).
fof(f3783,plain,
( spl6_338
<=> ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X0,X0))) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
fof(f3909,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_338 ),
inference(resolution,[],[f3784,f175]) ).
fof(f3784,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X0,X0))) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_338 ),
inference(avatar_component_clause,[],[f3783]) ).
fof(f7569,plain,
( spl6_587
| ~ spl6_4
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1708,f1690,f188,f7567]) ).
fof(f7567,plain,
( spl6_587
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sz0z00,sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sz0z00,X0),sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_587])]) ).
fof(f1708,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sz0z00,sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) = sdtpldt0(sdtasdt0(sz0z00,X0),sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X1))) )
| ~ spl6_4
| ~ spl6_158 ),
inference(resolution,[],[f1691,f190]) ).
fof(f7233,plain,
( ~ spl6_96
| ~ spl6_67
| spl6_575 ),
inference(avatar_split_clause,[],[f6870,f6857,f589,f1048]) ).
fof(f1048,plain,
( spl6_96
<=> aVector0(sziznziztdt0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f6870,plain,
( ~ aVector0(sziznziztdt0(sK3))
| ~ spl6_67
| spl6_575 ),
inference(resolution,[],[f6859,f590]) ).
fof(f6859,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| spl6_575 ),
inference(avatar_component_clause,[],[f6857]) ).
fof(f7232,plain,
( spl6_586
| ~ spl6_67
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1655,f1634,f589,f7230]) ).
fof(f7230,plain,
( spl6_586
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),sdtlbdtrb0(sK3,X0))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_586])]) ).
fof(f1655,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),sdtlbdtrb0(sK3,X0))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_153 ),
inference(resolution,[],[f1635,f590]) ).
fof(f7228,plain,
( spl6_585
| ~ spl6_67
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1649,f1630,f589,f7226]) ).
fof(f7226,plain,
( spl6_585
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasasdt0(X1,X1),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_585])]) ).
fof(f1649,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasasdt0(X1,X1),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_152 ),
inference(resolution,[],[f1631,f590]) ).
fof(f7224,plain,
( spl6_584
| ~ spl6_67
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1642,f1626,f589,f7222]) ).
fof(f7222,plain,
( spl6_584
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_584])]) ).
fof(f1642,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_151 ),
inference(resolution,[],[f1627,f590]) ).
fof(f7220,plain,
( spl6_583
| ~ spl6_30
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f1623,f1610,f304,f7218]) ).
fof(f7218,plain,
( spl6_583
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_583])]) ).
fof(f1610,plain,
( spl6_150
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtlbdtrb0(sK3,X1),X0)
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f1623,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_150 ),
inference(resolution,[],[f1611,f305]) ).
fof(f1611,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtlbdtrb0(sK3,X1),X0) )
| ~ spl6_150 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f7216,plain,
( spl6_582
| ~ spl6_32
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f1621,f1610,f312,f7214]) ).
fof(f7214,plain,
( spl6_582
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_582])]) ).
fof(f1621,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_150 ),
inference(resolution,[],[f1611,f313]) ).
fof(f7212,plain,
( spl6_581
| ~ spl6_31
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f1620,f1610,f308,f7210]) ).
fof(f7210,plain,
( spl6_581
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_581])]) ).
fof(f1620,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_150 ),
inference(resolution,[],[f1611,f309]) ).
fof(f7208,plain,
( spl6_580
| ~ spl6_30
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1617,f1590,f304,f7206]) ).
fof(f7206,plain,
( spl6_580
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_580])]) ).
fof(f1590,plain,
( spl6_149
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtlbdtrb0(sK3,X1),X0)
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f1617,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtlbdtrb0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_149 ),
inference(resolution,[],[f1591,f305]) ).
fof(f1591,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtlbdtrb0(sK3,X1),X0) )
| ~ spl6_149 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f7204,plain,
( spl6_579
| ~ spl6_32
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1615,f1590,f312,f7202]) ).
fof(f7202,plain,
( spl6_579
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_579])]) ).
fof(f1615,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_149 ),
inference(resolution,[],[f1591,f313]) ).
fof(f7200,plain,
( spl6_578
| ~ spl6_31
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1614,f1590,f308,f7198]) ).
fof(f7198,plain,
( spl6_578
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_578])]) ).
fof(f1614,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,X2),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_149 ),
inference(resolution,[],[f1591,f309]) ).
fof(f6873,plain,
( ~ spl6_1
| ~ spl6_67
| spl6_577 ),
inference(avatar_split_clause,[],[f6869,f6865,f589,f173]) ).
fof(f6869,plain,
( ~ aVector0(sK3)
| ~ spl6_67
| spl6_577 ),
inference(resolution,[],[f6866,f590]) ).
fof(f6866,plain,
( ~ aScalar0(sdtasasdt0(sK3,sK3))
| spl6_577 ),
inference(avatar_component_clause,[],[f6865]) ).
fof(f6868,plain,
( ~ spl6_575
| ~ spl6_576
| spl6_577
| ~ spl6_31
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f1698,f1694,f308,f6865,f6861,f6857]) ).
fof(f1698,plain,
( aScalar0(sdtasasdt0(sK3,sK3))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| ~ spl6_31
| ~ spl6_159 ),
inference(superposition,[],[f309,f1696]) ).
fof(f6718,plain,
( ~ spl6_33
| ~ spl6_17
| spl6_558 ),
inference(avatar_split_clause,[],[f6669,f6625,f245,f321]) ).
fof(f321,plain,
( spl6_33
<=> sP1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f245,plain,
( spl6_17
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f6625,plain,
( spl6_558
<=> sP0(sK3,sziznziztdt0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_558])]) ).
fof(f6669,plain,
( ~ sP1(sK3)
| ~ spl6_17
| spl6_558 ),
inference(resolution,[],[f6626,f246]) ).
fof(f246,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f6626,plain,
( ~ sP0(sK3,sziznziztdt0(sK3))
| spl6_558 ),
inference(avatar_component_clause,[],[f6625]) ).
fof(f6693,plain,
( spl6_574
| ~ spl6_1
| ~ spl6_199
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f3555,f3331,f2038,f173,f6691]) ).
fof(f6691,plain,
( spl6_574
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_574])]) ).
fof(f2038,plain,
( spl6_199
<=> ! [X0] :
( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f3331,plain,
( spl6_309
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasasdt0(X1,X1),sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f3555,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_199
| ~ spl6_309 ),
inference(forward_demodulation,[],[f3552,f2105]) ).
fof(f2105,plain,
( sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00) = sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3))
| ~ spl6_1
| ~ spl6_199 ),
inference(resolution,[],[f2039,f175]) ).
fof(f2039,plain,
( ! [X0] :
( ~ aVector0(X0)
| sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ spl6_199 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f3552,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00)) )
| ~ spl6_1
| ~ spl6_309 ),
inference(resolution,[],[f3332,f175]) ).
fof(f3332,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasasdt0(X1,X1),sz0z00)) )
| ~ spl6_309 ),
inference(avatar_component_clause,[],[f3331]) ).
fof(f6689,plain,
( spl6_573
| ~ spl6_1
| ~ spl6_198
| ~ spl6_308 ),
inference(avatar_split_clause,[],[f3550,f3327,f2034,f173,f6687]) ).
fof(f6687,plain,
( spl6_573
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_573])]) ).
fof(f3327,plain,
( spl6_308
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasasdt0(X1,X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(X1,X1)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f3550,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_198
| ~ spl6_308 ),
inference(forward_demodulation,[],[f3547,f2102]) ).
fof(f3547,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtasasdt0(sK3,sK3),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sdtasdt0(X0,sz0z00)) )
| ~ spl6_1
| ~ spl6_308 ),
inference(resolution,[],[f3328,f175]) ).
fof(f3328,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtasasdt0(X1,X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(X1,X1)),sdtasdt0(X0,sz0z00)) )
| ~ spl6_308 ),
inference(avatar_component_clause,[],[f3327]) ).
fof(f6685,plain,
( spl6_572
| ~ spl6_1
| ~ spl6_307 ),
inference(avatar_split_clause,[],[f3544,f3309,f173,f6683]) ).
fof(f6683,plain,
( spl6_572
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_572])]) ).
fof(f3309,plain,
( spl6_307
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
fof(f3544,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),X0) )
| ~ spl6_1
| ~ spl6_307 ),
inference(resolution,[],[f3310,f175]) ).
fof(f3310,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),X0) )
| ~ spl6_307 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f6681,plain,
( spl6_571
| ~ spl6_1
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f3527,f3305,f173,f6679]) ).
fof(f6679,plain,
( spl6_571
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_571])]) ).
fof(f3305,plain,
( spl6_306
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(sdtpldt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
fof(f3527,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtasdt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3)),X0) )
| ~ spl6_1
| ~ spl6_306 ),
inference(resolution,[],[f3306,f175]) ).
fof(f3306,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(sdtpldt0(X1,sdtasasdt0(X2,X2)),X0) )
| ~ spl6_306 ),
inference(avatar_component_clause,[],[f3305]) ).
fof(f6677,plain,
( spl6_570
| ~ spl6_1
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f3524,f3301,f173,f6675]) ).
fof(f6675,plain,
( spl6_570
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_570])]) ).
fof(f3301,plain,
( spl6_305
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
fof(f3524,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(sK3,sK3)),X0) )
| ~ spl6_1
| ~ spl6_305 ),
inference(resolution,[],[f3302,f175]) ).
fof(f3302,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),X0) )
| ~ spl6_305 ),
inference(avatar_component_clause,[],[f3301]) ).
fof(f6673,plain,
( spl6_569
| ~ spl6_1
| ~ spl6_304 ),
inference(avatar_split_clause,[],[f3521,f3297,f173,f6671]) ).
fof(f6671,plain,
( spl6_569
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_569])]) ).
fof(f3297,plain,
( spl6_304
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtpldt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
fof(f3521,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3))) = sdtpldt0(sdtpldt0(X1,sdtasasdt0(sK3,sK3)),X0) )
| ~ spl6_1
| ~ spl6_304 ),
inference(resolution,[],[f3298,f175]) ).
fof(f3298,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtpldt0(X1,sdtasasdt0(X2,X2)),X0) )
| ~ spl6_304 ),
inference(avatar_component_clause,[],[f3297]) ).
fof(f6668,plain,
( spl6_568
| ~ spl6_1
| ~ spl6_303 ),
inference(avatar_split_clause,[],[f3518,f3293,f173,f6666]) ).
fof(f6666,plain,
( spl6_568
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtlbdtrb0(sK3,X1),sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_568])]) ).
fof(f3293,plain,
( spl6_303
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtlbdtrb0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f3518,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtlbdtrb0(sK3,X1),sz0z00)) )
| ~ spl6_1
| ~ spl6_303 ),
inference(resolution,[],[f3294,f175]) ).
fof(f3294,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtlbdtrb0(X1,X2),sz0z00)) )
| ~ spl6_303 ),
inference(avatar_component_clause,[],[f3293]) ).
fof(f6664,plain,
( spl6_567
| ~ spl6_1
| ~ spl6_300 ),
inference(avatar_split_clause,[],[f3501,f3281,f173,f6662]) ).
fof(f6662,plain,
( spl6_567
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,sdtlbdtrb0(sK3,X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtlbdtrb0(sK3,X1),sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_567])]) ).
fof(f3281,plain,
( spl6_300
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtlbdtrb0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
fof(f3501,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,sdtlbdtrb0(sK3,X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtlbdtrb0(sK3,X1),sz0z00)) )
| ~ spl6_1
| ~ spl6_300 ),
inference(resolution,[],[f3282,f175]) ).
fof(f3282,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtlbdtrb0(X1,X2),sz0z00)) )
| ~ spl6_300 ),
inference(avatar_component_clause,[],[f3281]) ).
fof(f6660,plain,
( spl6_566
| ~ spl6_1
| ~ spl6_297 ),
inference(avatar_split_clause,[],[f3484,f3255,f173,f6658]) ).
fof(f6658,plain,
( spl6_566
<=> ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sK3,X1))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))))
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_566])]) ).
fof(f3255,plain,
( spl6_297
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
fof(f3484,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sK3,X1))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))))
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_297 ),
inference(resolution,[],[f3256,f175]) ).
fof(f3256,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_297 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f6656,plain,
( spl6_565
| ~ spl6_1
| ~ spl6_294 ),
inference(avatar_split_clause,[],[f3453,f3243,f173,f6654]) ).
fof(f6654,plain,
( spl6_565
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(sdtlbdtrb0(sK3,X1)))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))))
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_565])]) ).
fof(f3243,plain,
( spl6_294
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtlbdtrb0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
fof(f3453,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(sdtlbdtrb0(sK3,X1)))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))))
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_294 ),
inference(resolution,[],[f3244,f175]) ).
fof(f3244,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(X0,smndt0(smndt0(sdtlbdtrb0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_294 ),
inference(avatar_component_clause,[],[f3243]) ).
fof(f6652,plain,
( spl6_564
| ~ spl6_1
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f3436,f3231,f173,f6650]) ).
fof(f6650,plain,
( spl6_564
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtlbdtrb0(sK3,X1))))
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_564])]) ).
fof(f3231,plain,
( spl6_291
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f3436,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtlbdtrb0(sK3,X1))))
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_291 ),
inference(resolution,[],[f3232,f175]) ).
fof(f3232,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_291 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f6648,plain,
( spl6_563
| ~ spl6_1
| ~ spl6_288 ),
inference(avatar_split_clause,[],[f3419,f3219,f173,f6646]) ).
fof(f6646,plain,
( spl6_563
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasasdt0(sK3,sK3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_563])]) ).
fof(f3219,plain,
( spl6_288
<=> ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtasasdt0(X0,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f3419,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasasdt0(sK3,sK3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_288 ),
inference(resolution,[],[f3220,f175]) ).
fof(f3220,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtasasdt0(X0,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_288 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f6644,plain,
( spl6_562
| ~ spl6_1
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f3416,f3210,f173,f6642]) ).
fof(f6642,plain,
( spl6_562
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasasdt0(sK3,sK3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_562])]) ).
fof(f3210,plain,
( spl6_286
<=> ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtpldt0(sdtpldt0(X1,X2),sdtasasdt0(X0,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f3416,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasasdt0(sK3,sK3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_286 ),
inference(resolution,[],[f3211,f175]) ).
fof(f3211,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtpldt0(sdtpldt0(X1,X2),sdtasasdt0(X0,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_286 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f6640,plain,
( spl6_561
| ~ spl6_4
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1683,f1674,f188,f6638]) ).
fof(f6638,plain,
( spl6_561
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sz0z00,X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sz0z00,sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_561])]) ).
fof(f1683,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(sz0z00,X0),sdtlbdtrb0(sK3,X1)) = sdtasdt0(sz0z00,sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) )
| ~ spl6_4
| ~ spl6_157 ),
inference(resolution,[],[f1675,f190]) ).
fof(f6636,plain,
( spl6_560
| ~ spl6_4
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1677,f1670,f188,f6634]) ).
fof(f6634,plain,
( spl6_560
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sz0z00,X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sz0z00,sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_560])]) ).
fof(f1677,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sz0z00,X0),sdtlbdtrb0(sK3,X1)) = sdtpldt0(sz0z00,sdtpldt0(X0,sdtlbdtrb0(sK3,X1))) )
| ~ spl6_4
| ~ spl6_156 ),
inference(resolution,[],[f1671,f190]) ).
fof(f6632,plain,
( spl6_559
| ~ spl6_11
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1653,f1634,f219,f6630]) ).
fof(f6630,plain,
( spl6_559
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(smndt0(X1)),sdtlbdtrb0(sK3,X0))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_559])]) ).
fof(f1653,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(smndt0(X1)),sdtlbdtrb0(sK3,X0))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_153 ),
inference(resolution,[],[f1635,f220]) ).
fof(f6628,plain,
( spl6_557
| spl6_558
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f6445,f6442,f6625,f6621]) ).
fof(f6621,plain,
( spl6_557
<=> aNaturalNumber0(sK4(sK3,sziznziztdt0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_557])]) ).
fof(f6442,plain,
( spl6_543
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(sK3)
| sP0(X0,sziznziztdt0(sK3))
| aNaturalNumber0(sK4(X0,sziznziztdt0(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_543])]) ).
fof(f6445,plain,
( sP0(sK3,sziznziztdt0(sK3))
| aNaturalNumber0(sK4(sK3,sziznziztdt0(sK3)))
| ~ spl6_543 ),
inference(equality_resolution,[],[f6443]) ).
fof(f6443,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(sK3)
| sP0(X0,sziznziztdt0(sK3))
| aNaturalNumber0(sK4(X0,sziznziztdt0(sK3))) )
| ~ spl6_543 ),
inference(avatar_component_clause,[],[f6442]) ).
fof(f6619,plain,
( spl6_556
| ~ spl6_11
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1647,f1630,f219,f6617]) ).
fof(f6617,plain,
( spl6_556
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(X1),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_556])]) ).
fof(f1647,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(X1),smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_152 ),
inference(resolution,[],[f1631,f220]) ).
fof(f6615,plain,
( spl6_555
| ~ spl6_11
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1640,f1626,f219,f6613]) ).
fof(f6613,plain,
( spl6_555
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(smndt0(X1)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_555])]) ).
fof(f1640,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(smndt0(X1)),smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_151 ),
inference(resolution,[],[f1627,f220]) ).
fof(f6611,plain,
( spl6_554
| ~ spl6_67
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f1624,f1610,f589,f6609]) ).
fof(f6609,plain,
( spl6_554
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtasasdt0(X1,X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_554])]) ).
fof(f1624,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sdtasasdt0(X1,X1))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_150 ),
inference(resolution,[],[f1611,f590]) ).
fof(f6607,plain,
( spl6_553
| ~ spl6_67
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1618,f1590,f589,f6605]) ).
fof(f6605,plain,
( spl6_553
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtasasdt0(X1,X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_553])]) ).
fof(f1618,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasasdt0(X1,X1),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sdtasasdt0(X1,X1))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_149 ),
inference(resolution,[],[f1591,f590]) ).
fof(f6503,plain,
( spl6_552
| ~ spl6_1
| ~ spl6_199
| ~ spl6_273 ),
inference(avatar_split_clause,[],[f3124,f2861,f2038,f173,f6501]) ).
fof(f6501,plain,
( spl6_552
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_552])]) ).
fof(f2861,plain,
( spl6_273
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasasdt0(X1,X1),sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f3124,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_199
| ~ spl6_273 ),
inference(forward_demodulation,[],[f3121,f2105]) ).
fof(f3121,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00)) )
| ~ spl6_1
| ~ spl6_273 ),
inference(resolution,[],[f2862,f175]) ).
fof(f2862,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasasdt0(X1,X1),sz0z00)) )
| ~ spl6_273 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f6499,plain,
( spl6_551
| ~ spl6_1
| ~ spl6_198
| ~ spl6_272 ),
inference(avatar_split_clause,[],[f3119,f2857,f2034,f173,f6497]) ).
fof(f6497,plain,
( spl6_551
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_551])]) ).
fof(f2857,plain,
( spl6_272
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasasdt0(X1,X1),sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f3119,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_198
| ~ spl6_272 ),
inference(forward_demodulation,[],[f3116,f2102]) ).
fof(f3116,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,sdtasasdt0(sK3,sK3)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasasdt0(sK3,sK3),sz0z00)) )
| ~ spl6_1
| ~ spl6_272 ),
inference(resolution,[],[f2858,f175]) ).
fof(f2858,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasasdt0(X1,X1),sz0z00)) )
| ~ spl6_272 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f6495,plain,
( spl6_550
| ~ spl6_1
| ~ spl6_271 ),
inference(avatar_split_clause,[],[f3113,f2853,f173,f6493]) ).
fof(f6493,plain,
( spl6_550
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(sK3,sK3))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_550])]) ).
fof(f2853,plain,
( spl6_271
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f3113,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(sK3,sK3))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_271 ),
inference(resolution,[],[f2854,f175]) ).
fof(f2854,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))))
| ~ aScalar0(X0) )
| ~ spl6_271 ),
inference(avatar_component_clause,[],[f2853]) ).
fof(f6491,plain,
( spl6_549
| ~ spl6_1
| ~ spl6_270 ),
inference(avatar_split_clause,[],[f3110,f2849,f173,f6489]) ).
fof(f6489,plain,
( spl6_549
<=> ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(sdtasasdt0(sK3,sK3)))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_549])]) ).
fof(f2849,plain,
( spl6_270
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasasdt0(X1,X1)))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f3110,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(sdtasasdt0(sK3,sK3)))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_270 ),
inference(resolution,[],[f2850,f175]) ).
fof(f2850,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(X0,smndt0(smndt0(sdtasasdt0(X1,X1)))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))))
| ~ aScalar0(X0) )
| ~ spl6_270 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f6487,plain,
( spl6_548
| ~ spl6_1
| ~ spl6_269 ),
inference(avatar_split_clause,[],[f3107,f2845,f173,f6485]) ).
fof(f6485,plain,
( spl6_548
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_548])]) ).
fof(f2845,plain,
( spl6_269
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasasdt0(X1,X1))))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f3107,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasasdt0(sK3,sK3))))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_269 ),
inference(resolution,[],[f2846,f175]) ).
fof(f2846,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasasdt0(X1,X1))))
| ~ aScalar0(X0) )
| ~ spl6_269 ),
inference(avatar_component_clause,[],[f2845]) ).
fof(f6483,plain,
( spl6_547
| ~ spl6_1
| ~ spl6_268 ),
inference(avatar_split_clause,[],[f3104,f2841,f173,f6481]) ).
fof(f6481,plain,
( spl6_547
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_547])]) ).
fof(f2841,plain,
( spl6_268
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f3104,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,X1)),X0) )
| ~ spl6_1
| ~ spl6_268 ),
inference(resolution,[],[f2842,f175]) ).
fof(f2842,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),X0) )
| ~ spl6_268 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f6479,plain,
( spl6_546
| ~ spl6_1
| ~ spl6_265 ),
inference(avatar_split_clause,[],[f2919,f2822,f173,f6477]) ).
fof(f6477,plain,
( spl6_546
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = sdtpldt0(smndt0(sdtlbdtrb0(sK3,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_546])]) ).
fof(f2822,plain,
( spl6_265
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtpldt0(smndt0(sdtlbdtrb0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f2919,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = sdtpldt0(smndt0(sdtlbdtrb0(sK3,X1)),X0) )
| ~ spl6_1
| ~ spl6_265 ),
inference(resolution,[],[f2823,f175]) ).
fof(f2823,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtpldt0(smndt0(sdtlbdtrb0(X1,X2)),X0) )
| ~ spl6_265 ),
inference(avatar_component_clause,[],[f2822]) ).
fof(f6453,plain,
( spl6_545
| ~ spl6_11
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f1622,f1610,f219,f6451]) ).
fof(f6451,plain,
( spl6_545
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),smndt0(X1))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_545])]) ).
fof(f1622,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(X1),sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),smndt0(X1))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_150 ),
inference(resolution,[],[f1611,f220]) ).
fof(f6449,plain,
( spl6_544
| ~ spl6_11
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1616,f1590,f219,f6447]) ).
fof(f6447,plain,
( spl6_544
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(smndt0(X1),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),smndt0(X1))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_544])]) ).
fof(f1616,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(smndt0(X1),sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),smndt0(X1))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_149 ),
inference(resolution,[],[f1591,f220]) ).
fof(f6444,plain,
( ~ spl6_96
| spl6_543
| ~ spl6_49
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f704,f691,f459,f6442,f1048]) ).
fof(f459,plain,
( spl6_49
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK4(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f691,plain,
( spl6_75
<=> aDimensionOf0(sK3) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f704,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(sK3)
| aNaturalNumber0(sK4(X0,sziznziztdt0(sK3)))
| sP0(X0,sziznziztdt0(sK3))
| ~ aVector0(sziznziztdt0(sK3)) )
| ~ spl6_49
| ~ spl6_75 ),
inference(superposition,[],[f460,f693]) ).
fof(f693,plain,
( aDimensionOf0(sK3) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK3)))
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f460,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK4(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) )
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f6437,plain,
( ~ spl6_76
| spl6_542
| ~ spl6_40
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f705,f691,f364,f6435,f761]) ).
fof(f761,plain,
( spl6_76
<=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f6435,plain,
( spl6_542
<=> ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(sK3)
| ~ aNaturalNumber0(X0)
| aDimensionOf0(sziznziztdt0(sK3)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_542])]) ).
fof(f364,plain,
( spl6_40
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f705,plain,
( ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(sK3)
| aDimensionOf0(sziznziztdt0(sK3)) = X0
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK3)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_40
| ~ spl6_75 ),
inference(superposition,[],[f365,f693]) ).
fof(f365,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f6396,plain,
( spl6_541
| ~ spl6_77
| ~ spl6_228
| ~ spl6_530 ),
inference(avatar_split_clause,[],[f6308,f6276,f2290,f765,f6393]) ).
fof(f6393,plain,
( spl6_541
<=> sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_541])]) ).
fof(f2290,plain,
( spl6_228
<=> sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f6276,plain,
( spl6_530
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,X0)),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_530])]) ).
fof(f6308,plain,
( sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3))),sz0z00)
| ~ spl6_77
| ~ spl6_228
| ~ spl6_530 ),
inference(forward_demodulation,[],[f6304,f2292]) ).
fof(f2292,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sz0z00)
| ~ spl6_228 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f6304,plain,
( sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3))),sz0z00)
| ~ spl6_77
| ~ spl6_530 ),
inference(resolution,[],[f6277,f767]) ).
fof(f767,plain,
( aNaturalNumber0(aDimensionOf0(sK3))
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f6277,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,X0)),sz0z00) )
| ~ spl6_530 ),
inference(avatar_component_clause,[],[f6276]) ).
fof(f6355,plain,
( spl6_540
| ~ spl6_1
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f2697,f2604,f173,f6353]) ).
fof(f6353,plain,
( spl6_540
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_540])]) ).
fof(f2604,plain,
( spl6_247
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),X0)
| ~ aScalar0(X0)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f2697,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),X0) )
| ~ spl6_1
| ~ spl6_247 ),
inference(resolution,[],[f2605,f175]) ).
fof(f2605,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),X0) )
| ~ spl6_247 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f6351,plain,
( spl6_539
| ~ spl6_1
| ~ spl6_246 ),
inference(avatar_split_clause,[],[f2694,f2600,f173,f6349]) ).
fof(f6349,plain,
( spl6_539
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = sdtpldt0(smndt0(sdtasasdt0(sK3,sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_539])]) ).
fof(f2600,plain,
( spl6_246
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtpldt0(smndt0(sdtasasdt0(X1,X1)),X0)
| ~ aScalar0(X0)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f2694,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = sdtpldt0(smndt0(sdtasasdt0(sK3,sK3)),X0) )
| ~ spl6_1
| ~ spl6_246 ),
inference(resolution,[],[f2601,f175]) ).
fof(f2601,plain,
( ! [X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtpldt0(smndt0(sdtasasdt0(X1,X1)),X0) )
| ~ spl6_246 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f6347,plain,
( spl6_538
| ~ spl6_1
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f2677,f2596,f173,f6345]) ).
fof(f6345,plain,
( spl6_538
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(sdtlbdtrb0(sK3,X0)),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_538])]) ).
fof(f2596,plain,
( spl6_245
<=> ! [X0,X1] :
( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f2677,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(smndt0(sdtlbdtrb0(sK3,X0)),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00)) )
| ~ spl6_1
| ~ spl6_245 ),
inference(resolution,[],[f2597,f175]) ).
fof(f2597,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00)) )
| ~ spl6_245 ),
inference(avatar_component_clause,[],[f2596]) ).
fof(f6343,plain,
( spl6_537
| ~ spl6_1
| ~ spl6_242 ),
inference(avatar_split_clause,[],[f2662,f2570,f173,f6341]) ).
fof(f6341,plain,
( spl6_537
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),sdtasasdt0(sK3,sK3))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_537])]) ).
fof(f2570,plain,
( spl6_242
<=> ! [X0,X1] :
( ~ aVector0(X0)
| smndt0(sdtasdt0(X1,sdtasasdt0(X0,X0))) = sdtasdt0(smndt0(X1),sdtasasdt0(X0,X0))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f2662,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3))) = sdtasdt0(smndt0(X0),sdtasasdt0(sK3,sK3))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_242 ),
inference(resolution,[],[f2571,f175]) ).
fof(f2571,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| smndt0(sdtasdt0(X1,sdtasasdt0(X0,X0))) = sdtasdt0(smndt0(X1),sdtasasdt0(X0,X0))
| ~ aScalar0(X1) )
| ~ spl6_242 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f6339,plain,
( spl6_536
| ~ spl6_1
| ~ spl6_241 ),
inference(avatar_split_clause,[],[f2659,f2566,f173,f6337]) ).
fof(f6337,plain,
( spl6_536
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = smndt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_536])]) ).
fof(f2566,plain,
( spl6_241
<=> ! [X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,smndt0(sdtasasdt0(X0,X0))) = smndt0(sdtasdt0(X1,sdtasasdt0(X0,X0)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f2659,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasasdt0(sK3,sK3))) = smndt0(sdtasdt0(X0,sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_241 ),
inference(resolution,[],[f2567,f175]) ).
fof(f2567,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,smndt0(sdtasasdt0(X0,X0))) = smndt0(sdtasdt0(X1,sdtasasdt0(X0,X0)))
| ~ aScalar0(X1) )
| ~ spl6_241 ),
inference(avatar_component_clause,[],[f2566]) ).
fof(f6335,plain,
( spl6_535
| ~ spl6_1
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f2656,f2562,f173,f6333]) ).
fof(f6333,plain,
( spl6_535
<=> ! [X0] :
( sdtasdt0(X0,sdtasasdt0(sK3,sK3)) = sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_535])]) ).
fof(f2562,plain,
( spl6_240
<=> ! [X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,sdtasasdt0(X0,X0)) = sdtasdt0(smndt0(X1),smndt0(sdtasasdt0(X0,X0)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f2656,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasasdt0(sK3,sK3)) = sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(sK3,sK3)))
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_240 ),
inference(resolution,[],[f2563,f175]) ).
fof(f2563,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,sdtasasdt0(X0,X0)) = sdtasdt0(smndt0(X1),smndt0(sdtasasdt0(X0,X0)))
| ~ aScalar0(X1) )
| ~ spl6_240 ),
inference(avatar_component_clause,[],[f2562]) ).
fof(f6331,plain,
( spl6_534
| ~ spl6_77
| ~ spl6_255
| ~ spl6_528 ),
inference(avatar_split_clause,[],[f6290,f6268,f2636,f765,f6328]) ).
fof(f6328,plain,
( spl6_534
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_534])]) ).
fof(f2636,plain,
( spl6_255
<=> sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f6268,plain,
( spl6_528
<=> ! [X0] :
( sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_528])]) ).
fof(f6290,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| ~ spl6_77
| ~ spl6_255
| ~ spl6_528 ),
inference(forward_demodulation,[],[f6286,f2638]) ).
fof(f2638,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_255 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f6286,plain,
( sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(sK3))) = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| ~ spl6_77
| ~ spl6_528 ),
inference(resolution,[],[f6269,f767]) ).
fof(f6269,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,X0))) )
| ~ spl6_528 ),
inference(avatar_component_clause,[],[f6268]) ).
fof(f6326,plain,
( spl6_533
| ~ spl6_4
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1644,f1630,f188,f6324]) ).
fof(f6324,plain,
( spl6_533
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_533])]) ).
fof(f1644,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,X0))) = smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0))) )
| ~ spl6_4
| ~ spl6_152 ),
inference(resolution,[],[f1631,f190]) ).
fof(f6322,plain,
( spl6_532
| ~ spl6_29
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1587,f1579,f300,f6320]) ).
fof(f6320,plain,
( spl6_532
<=> ! [X0] :
( sdtlbdtrb0(sK3,sK5(X0)) = sdtlbdtrb0(sziznziztdt0(sK3),sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_532])]) ).
fof(f300,plain,
( spl6_29
<=> ! [X0] :
( aNaturalNumber0(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f1579,plain,
( spl6_148
<=> ! [X0] :
( sdtlbdtrb0(sK3,X0) = sdtlbdtrb0(sziznziztdt0(sK3),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f1587,plain,
( ! [X0] :
( sdtlbdtrb0(sK3,sK5(X0)) = sdtlbdtrb0(sziznziztdt0(sK3),sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_29
| ~ spl6_148 ),
inference(resolution,[],[f1580,f301]) ).
fof(f301,plain,
( ! [X0] :
( aNaturalNumber0(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f1580,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = sdtlbdtrb0(sziznziztdt0(sK3),X0) )
| ~ spl6_148 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f6282,plain,
( spl6_531
| ~ spl6_1
| ~ spl6_235 ),
inference(avatar_split_clause,[],[f2542,f2495,f173,f6280]) ).
fof(f6280,plain,
( spl6_531
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_531])]) ).
fof(f2495,plain,
( spl6_235
<=> ! [X0,X1] :
( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f2542,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00)) )
| ~ spl6_1
| ~ spl6_235 ),
inference(resolution,[],[f2496,f175]) ).
fof(f2496,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00)) )
| ~ spl6_235 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f6278,plain,
( spl6_530
| ~ spl6_1
| ~ spl6_232 ),
inference(avatar_split_clause,[],[f2522,f2477,f173,f6276]) ).
fof(f2477,plain,
( spl6_232
<=> ! [X0,X1] :
( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f2522,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,X0)),sz0z00) )
| ~ spl6_1
| ~ spl6_232 ),
inference(resolution,[],[f2478,f175]) ).
fof(f2478,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) )
| ~ spl6_232 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f6274,plain,
( spl6_529
| ~ spl6_4
| ~ spl6_16
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1656,f1634,f239,f188,f6272]) ).
fof(f6272,plain,
( spl6_529
<=> ! [X0] :
( sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_529])]) ).
fof(f239,plain,
( spl6_16
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f1656,plain,
( ! [X0] :
( sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_16
| ~ spl6_153 ),
inference(forward_demodulation,[],[f1650,f241]) ).
fof(f241,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f1650,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0))) = sdtasdt0(smndt0(sz0z00),sdtlbdtrb0(sK3,X0)) )
| ~ spl6_4
| ~ spl6_153 ),
inference(resolution,[],[f1635,f190]) ).
fof(f6270,plain,
( spl6_528
| ~ spl6_4
| ~ spl6_16
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1643,f1626,f239,f188,f6268]) ).
fof(f1643,plain,
( ! [X0] :
( sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_16
| ~ spl6_151 ),
inference(forward_demodulation,[],[f1637,f241]) ).
fof(f1637,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtasdt0(smndt0(sz0z00),smndt0(sdtlbdtrb0(sK3,X0))) )
| ~ spl6_4
| ~ spl6_151 ),
inference(resolution,[],[f1627,f190]) ).
fof(f6266,plain,
( ~ spl6_96
| spl6_526
| ~ spl6_527
| ~ spl6_75
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f917,f906,f691,f6263,f6259,f1048]) ).
fof(f6259,plain,
( spl6_526
<=> sP0(sziznziztdt0(sK3),sziznziztdt0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_526])]) ).
fof(f6263,plain,
( spl6_527
<=> aDimensionOf0(sK3) = aDimensionOf0(sziznziztdt0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_527])]) ).
fof(f906,plain,
( spl6_82
<=> ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f917,plain,
( aDimensionOf0(sK3) != aDimensionOf0(sziznziztdt0(sK3))
| sP0(sziznziztdt0(sK3),sziznziztdt0(sK3))
| ~ aVector0(sziznziztdt0(sK3))
| ~ spl6_75
| ~ spl6_82 ),
inference(superposition,[],[f907,f693]) ).
fof(f907,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| sP0(X0,X0)
| ~ aVector0(X0) )
| ~ spl6_82 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f6225,plain,
( spl6_525
| ~ spl6_1
| ~ spl6_214 ),
inference(avatar_split_clause,[],[f2301,f2220,f173,f6223]) ).
fof(f6223,plain,
( spl6_525
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasasdt0(sK3,sK3)) = sdtasdt0(sdtasasdt0(sK3,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_525])]) ).
fof(f2220,plain,
( spl6_214
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtasasdt0(X0,X0)) = sdtasdt0(sdtasasdt0(X0,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f2301,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasasdt0(sK3,sK3)) = sdtasdt0(sdtasasdt0(sK3,sK3),X0) )
| ~ spl6_1
| ~ spl6_214 ),
inference(resolution,[],[f2221,f175]) ).
fof(f2221,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtasasdt0(X0,X0)) = sdtasdt0(sdtasasdt0(X0,X0),X1) )
| ~ spl6_214 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f6221,plain,
( spl6_524
| ~ spl6_1
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f2298,f2216,f173,f6219]) ).
fof(f6219,plain,
( spl6_524
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasasdt0(sK3,sK3)) = sdtpldt0(sdtasasdt0(sK3,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_524])]) ).
fof(f2216,plain,
( spl6_213
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,sdtasasdt0(X0,X0)) = sdtpldt0(sdtasasdt0(X0,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f2298,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasasdt0(sK3,sK3)) = sdtpldt0(sdtasasdt0(sK3,sK3),X0) )
| ~ spl6_1
| ~ spl6_213 ),
inference(resolution,[],[f2217,f175]) ).
fof(f2217,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,sdtasasdt0(X0,X0)) = sdtpldt0(sdtasasdt0(X0,X0),X1) )
| ~ spl6_213 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f6217,plain,
( spl6_523
| ~ spl6_4
| ~ spl6_150 ),
inference(avatar_split_clause,[],[f1619,f1610,f188,f6215]) ).
fof(f6215,plain,
( spl6_523
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_523])]) ).
fof(f1619,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) )
| ~ spl6_4
| ~ spl6_150 ),
inference(resolution,[],[f1611,f190]) ).
fof(f6213,plain,
( spl6_522
| ~ spl6_4
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1613,f1590,f188,f6211]) ).
fof(f6211,plain,
( spl6_522
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_522])]) ).
fof(f1613,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz0z00,sdtlbdtrb0(sK3,X0)) = sdtpldt0(sdtlbdtrb0(sK3,X0),sz0z00) )
| ~ spl6_4
| ~ spl6_149 ),
inference(resolution,[],[f1591,f190]) ).
fof(f6209,plain,
( spl6_521
| ~ spl6_77
| ~ spl6_467 ),
inference(avatar_split_clause,[],[f5985,f5492,f765,f6206]) ).
fof(f6206,plain,
( spl6_521
<=> sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(aDimensionOf0(sK3))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_521])]) ).
fof(f5492,plain,
( spl6_467
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(X0)),sz0z00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
fof(f5985,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(aDimensionOf0(sK3))),sz0z00)
| ~ spl6_77
| ~ spl6_467 ),
inference(resolution,[],[f5493,f767]) ).
fof(f5493,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(X0)),sz0z00) )
| ~ spl6_467 ),
inference(avatar_component_clause,[],[f5492]) ).
fof(f6166,plain,
( spl6_520
| ~ spl6_1
| ~ spl6_199
| ~ spl6_211 ),
inference(avatar_split_clause,[],[f2213,f2167,f2038,f173,f6163]) ).
fof(f6163,plain,
( spl6_520
<=> sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)) = smndt0(sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_520])]) ).
fof(f2167,plain,
( spl6_211
<=> ! [X0] :
( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),sz0z00))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f2213,plain,
( sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)) = smndt0(sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)))
| ~ spl6_1
| ~ spl6_199
| ~ spl6_211 ),
inference(forward_demodulation,[],[f2210,f2105]) ).
fof(f2210,plain,
( sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00))
| ~ spl6_1
| ~ spl6_211 ),
inference(resolution,[],[f2168,f175]) ).
fof(f2168,plain,
( ! [X0] :
( ~ aVector0(X0)
| sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),sz0z00)) )
| ~ spl6_211 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f6161,plain,
( spl6_519
| ~ spl6_1
| ~ spl6_199
| ~ spl6_210 ),
inference(avatar_split_clause,[],[f2208,f2163,f2038,f173,f6158]) ).
fof(f6158,plain,
( spl6_519
<=> sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)) = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_519])]) ).
fof(f2163,plain,
( spl6_210
<=> ! [X0] :
( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f2208,plain,
( sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)) = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),sz0z00)
| ~ spl6_1
| ~ spl6_199
| ~ spl6_210 ),
inference(forward_demodulation,[],[f2205,f2105]) ).
fof(f2205,plain,
( sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00) = sdtasdt0(smndt0(sdtasasdt0(sK3,sK3)),sz0z00)
| ~ spl6_1
| ~ spl6_210 ),
inference(resolution,[],[f2164,f175]) ).
fof(f2164,plain,
( ! [X0] :
( ~ aVector0(X0)
| sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) )
| ~ spl6_210 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f6156,plain,
( spl6_518
| ~ spl6_1
| ~ spl6_205 ),
inference(avatar_split_clause,[],[f2173,f2143,f173,f6154]) ).
fof(f6154,plain,
( spl6_518
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(sK3,X0)),sdtlbdtrb0(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_518])]) ).
fof(f2143,plain,
( spl6_205
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f2173,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(sK3,X0)),sdtlbdtrb0(sK3,X0)) )
| ~ spl6_1
| ~ spl6_205 ),
inference(resolution,[],[f2144,f175]) ).
fof(f2144,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1)) )
| ~ spl6_205 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f6152,plain,
( spl6_517
| ~ spl6_1
| ~ spl6_204 ),
inference(avatar_split_clause,[],[f2170,f2133,f173,f6150]) ).
fof(f6150,plain,
( spl6_517
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtpldt0(sdtlbdtrb0(sK3,X0),smndt0(sdtlbdtrb0(sK3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_517])]) ).
fof(f2133,plain,
( spl6_204
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f2170,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtpldt0(sdtlbdtrb0(sK3,X0),smndt0(sdtlbdtrb0(sK3,X0))) )
| ~ spl6_1
| ~ spl6_204 ),
inference(resolution,[],[f2134,f175]) ).
fof(f2134,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1))) )
| ~ spl6_204 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f6126,plain,
( spl6_516
| ~ spl6_8
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1584,f1579,f207,f6124]) ).
fof(f6124,plain,
( spl6_516
<=> ! [X0] :
( sdtlbdtrb0(sK3,aDimensionOf0(X0)) = sdtlbdtrb0(sziznziztdt0(sK3),aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_516])]) ).
fof(f207,plain,
( spl6_8
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f1584,plain,
( ! [X0] :
( sdtlbdtrb0(sK3,aDimensionOf0(X0)) = sdtlbdtrb0(sziznziztdt0(sK3),aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl6_8
| ~ spl6_148 ),
inference(resolution,[],[f1580,f208]) ).
fof(f208,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f6122,plain,
( spl6_515
| ~ spl6_10
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1583,f1579,f215,f6120]) ).
fof(f6120,plain,
( spl6_515
<=> ! [X0] :
( sdtlbdtrb0(sK3,szszuzczcdt0(X0)) = sdtlbdtrb0(sziznziztdt0(sK3),szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_515])]) ).
fof(f1583,plain,
( ! [X0] :
( sdtlbdtrb0(sK3,szszuzczcdt0(X0)) = sdtlbdtrb0(sziznziztdt0(sK3),szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_148 ),
inference(resolution,[],[f1580,f216]) ).
fof(f6073,plain,
( spl6_514
| ~ spl6_1
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2105,f2038,f173,f6070]) ).
fof(f6070,plain,
( spl6_514
<=> sdtasdt0(sdtasasdt0(sK3,sK3),sz0z00) = sdtasdt0(sz0z00,sdtasasdt0(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_514])]) ).
fof(f6068,plain,
( spl6_513
| ~ spl6_1
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f2102,f2034,f173,f6065]) ).
fof(f6065,plain,
( spl6_513
<=> sdtpldt0(sdtasasdt0(sK3,sK3),sz0z00) = sdtpldt0(sz0z00,sdtasasdt0(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_513])]) ).
fof(f6063,plain,
( spl6_512
| ~ spl6_1
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2059,f2002,f173,f6061]) ).
fof(f6061,plain,
( spl6_512
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = smndt0(smndt0(sdtlbdtrb0(sK3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_512])]) ).
fof(f2002,plain,
( spl6_190
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = smndt0(smndt0(sdtlbdtrb0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f2059,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = smndt0(smndt0(sdtlbdtrb0(sK3,X0))) )
| ~ spl6_1
| ~ spl6_190 ),
inference(resolution,[],[f2003,f175]) ).
fof(f2003,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = smndt0(smndt0(sdtlbdtrb0(X0,X1))) )
| ~ spl6_190 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f6059,plain,
( spl6_511
| ~ spl6_3
| ~ spl6_467 ),
inference(avatar_split_clause,[],[f5982,f5492,f183,f6056]) ).
fof(f6056,plain,
( spl6_511
<=> sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(sz00)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_511])]) ).
fof(f183,plain,
( spl6_3
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f5982,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(sz00)),sz0z00)
| ~ spl6_3
| ~ spl6_467 ),
inference(resolution,[],[f5493,f185]) ).
fof(f185,plain,
( aNaturalNumber0(sz00)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f6054,plain,
( spl6_510
| ~ spl6_1
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2056,f1998,f173,f6052]) ).
fof(f6052,plain,
( spl6_510
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = sdtpldt0(sz0z00,sdtlbdtrb0(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_510])]) ).
fof(f1998,plain,
( spl6_189
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f2056,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = sdtpldt0(sz0z00,sdtlbdtrb0(sK3,X0)) )
| ~ spl6_1
| ~ spl6_189 ),
inference(resolution,[],[f1999,f175]) ).
fof(f1999,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)) )
| ~ spl6_189 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f6050,plain,
( spl6_509
| ~ spl6_1
| ~ spl6_188 ),
inference(avatar_split_clause,[],[f2053,f1988,f173,f6048]) ).
fof(f6048,plain,
( spl6_509
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = sdtpldt0(sdtlbdtrb0(sK3,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_509])]) ).
fof(f1988,plain,
( spl6_188
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f2053,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(sK3,X0) = sdtpldt0(sdtlbdtrb0(sK3,X0),sz0z00) )
| ~ spl6_1
| ~ spl6_188 ),
inference(resolution,[],[f1989,f175]) ).
fof(f1989,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) )
| ~ spl6_188 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f6026,plain,
( spl6_508
| ~ spl6_64
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1523,f1510,f560,f6024]) ).
fof(f6024,plain,
( spl6_508
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X4,X5))
| ~ sdtlseqdt0(X5,X0)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X4,X1)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_508])]) ).
fof(f560,plain,
( spl6_64
<=> ! [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,[spl6_64])]) ).
fof(f1510,plain,
( spl6_143
<=> ! [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,[spl6_143])]) ).
fof(f1523,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X4,X5))
| ~ sdtlseqdt0(X5,X0)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X4,X1)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl6_64
| ~ spl6_143 ),
inference(duplicate_literal_removal,[],[f1520]) ).
fof(f1520,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X4,X5))
| ~ sdtlseqdt0(X5,X0)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X4,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X5)
| ~ aScalar0(X1)
| ~ aScalar0(X4) )
| ~ spl6_64
| ~ spl6_143 ),
inference(resolution,[],[f1511,f561]) ).
fof(f561,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) )
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1511,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X4,sdtasdt0(X2,X0))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(X3,X1))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(X4) )
| ~ spl6_143 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f5981,plain,
( spl6_507
| ~ spl6_30
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1573,f1540,f304,f5979]) ).
fof(f5979,plain,
( spl6_507
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtlbdtrb0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtlbdtrb0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtlbdtrb0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aNaturalNumber0(X5)
| ~ aVector0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_507])]) ).
fof(f1540,plain,
( spl6_146
<=> ! [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,[spl6_146])]) ).
fof(f1573,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtlbdtrb0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtlbdtrb0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtlbdtrb0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aNaturalNumber0(X5)
| ~ aVector0(X4) )
| ~ spl6_30
| ~ spl6_146 ),
inference(resolution,[],[f1541,f305]) ).
fof(f1541,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| 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(X3) )
| ~ spl6_146 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f5977,plain,
( spl6_506
| ~ spl6_32
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1571,f1540,f312,f5975]) ).
fof(f5975,plain,
( spl6_506
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtasdt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtasdt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtasdt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_506])]) ).
fof(f1571,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtasdt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtasdt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtasdt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl6_32
| ~ spl6_146 ),
inference(resolution,[],[f1541,f313]) ).
fof(f5973,plain,
( spl6_505
| ~ spl6_31
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1570,f1540,f308,f5971]) ).
fof(f5971,plain,
( spl6_505
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtpldt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtpldt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtpldt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_505])]) ).
fof(f1570,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtpldt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtpldt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtpldt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl6_31
| ~ spl6_146 ),
inference(resolution,[],[f1541,f309]) ).
fof(f5969,plain,
( spl6_504
| ~ spl6_30
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1567,f1536,f304,f5967]) ).
fof(f5967,plain,
( spl6_504
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtlbdtrb0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtlbdtrb0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtlbdtrb0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aNaturalNumber0(X5)
| ~ aVector0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_504])]) ).
fof(f1536,plain,
( spl6_145
<=> ! [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,[spl6_145])]) ).
fof(f1567,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtlbdtrb0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtlbdtrb0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtlbdtrb0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aNaturalNumber0(X5)
| ~ aVector0(X4) )
| ~ spl6_30
| ~ spl6_145 ),
inference(resolution,[],[f1537,f305]) ).
fof(f1537,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| 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(X3) )
| ~ spl6_145 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f5965,plain,
( spl6_503
| ~ spl6_32
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1565,f1536,f312,f5963]) ).
fof(f5963,plain,
( spl6_503
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtasdt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtasdt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtasdt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_503])]) ).
fof(f1565,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtasdt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtasdt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtasdt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl6_32
| ~ spl6_145 ),
inference(resolution,[],[f1537,f313]) ).
fof(f5961,plain,
( spl6_502
| ~ spl6_31
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1564,f1536,f308,f5959]) ).
fof(f5959,plain,
( spl6_502
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtpldt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtpldt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtpldt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_502])]) ).
fof(f1564,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtpldt0(X4,X5)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtpldt0(X4,X5)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtpldt0(X4,X5)))))
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl6_31
| ~ spl6_145 ),
inference(resolution,[],[f1537,f309]) ).
fof(f5951,plain,
( spl6_501
| ~ spl6_67
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1574,f1540,f589,f5949]) ).
fof(f5949,plain,
( spl6_501
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtasasdt0(X4,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtasasdt0(X4,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtasasdt0(X4,X4)))))
| ~ aScalar0(X3)
| ~ aVector0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
fof(f1574,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sdtasasdt0(X4,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sdtasasdt0(X4,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sdtasasdt0(X4,X4)))))
| ~ aScalar0(X3)
| ~ aVector0(X4) )
| ~ spl6_67
| ~ spl6_146 ),
inference(resolution,[],[f1541,f590]) ).
fof(f5947,plain,
( spl6_500
| ~ spl6_67
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1568,f1536,f589,f5945]) ).
fof(f5945,plain,
( spl6_500
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtasasdt0(X4,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtasasdt0(X4,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtasasdt0(X4,X4)))))
| ~ aScalar0(X3)
| ~ aVector0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
fof(f1568,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sdtasasdt0(X4,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sdtasasdt0(X4,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sdtasasdt0(X4,X4)))))
| ~ aScalar0(X3)
| ~ aVector0(X4) )
| ~ spl6_67
| ~ spl6_145 ),
inference(resolution,[],[f1537,f590]) ).
fof(f5932,plain,
( spl6_499
| ~ spl6_62
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1478,f1463,f549,f5930]) ).
fof(f5930,plain,
( spl6_499
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sdtpldt0(X4,X5),sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X4,X5))
| ~ sdtlseqdt0(X5,X3)
| ~ sdtlseqdt0(X4,X0)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
fof(f549,plain,
( spl6_62
<=> ! [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,[spl6_62])]) ).
fof(f1463,plain,
( spl6_140
<=> ! [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,[spl6_140])]) ).
fof(f1478,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sdtpldt0(X4,X5),sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X4,X5))
| ~ sdtlseqdt0(X5,X3)
| ~ sdtlseqdt0(X4,X0)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl6_62
| ~ spl6_140 ),
inference(duplicate_literal_removal,[],[f1475]) ).
fof(f1475,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sdtpldt0(X4,X5),sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X4,X5))
| ~ sdtlseqdt0(X5,X3)
| ~ sdtlseqdt0(X4,X0)
| ~ aScalar0(X3)
| ~ aScalar0(X5)
| ~ aScalar0(X0)
| ~ aScalar0(X4) )
| ~ spl6_62
| ~ spl6_140 ),
inference(resolution,[],[f1464,f550]) ).
fof(f550,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) )
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f1464,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X4,sdtpldt0(X2,X0))
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtpldt0(X3,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(X3,X1))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(X4) )
| ~ spl6_140 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f5892,plain,
( spl6_498
| ~ spl6_25
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1576,f1544,f284,f5890]) ).
fof(f5890,plain,
( spl6_498
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X4),X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtlbdtrb0(sziznziztdt0(X4),X3))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sziznziztdt0(X4),X3))))
| ~ sP1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
fof(f284,plain,
( spl6_25
<=> ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f1544,plain,
( spl6_147
<=> ! [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,[spl6_147])]) ).
fof(f1576,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X4),X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtlbdtrb0(sziznziztdt0(X4),X3))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sziznziztdt0(X4),X3))))
| ~ sP1(X4) )
| ~ spl6_25
| ~ spl6_147 ),
inference(resolution,[],[f1545,f285]) ).
fof(f285,plain,
( ! [X0] :
( aVector0(sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f1545,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(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)))) )
| ~ spl6_147 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f5888,plain,
( spl6_497
| ~ spl6_11
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1572,f1540,f219,f5886]) ).
fof(f5886,plain,
( spl6_497
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,smndt0(X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,smndt0(X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,smndt0(X4)))))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
fof(f1572,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,smndt0(X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,smndt0(X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,smndt0(X4)))))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
| ~ spl6_11
| ~ spl6_146 ),
inference(resolution,[],[f1541,f220]) ).
fof(f5881,plain,
( spl6_496
| ~ spl6_11
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1566,f1536,f219,f5879]) ).
fof(f5879,plain,
( spl6_496
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,smndt0(X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,smndt0(X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,smndt0(X4)))))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
fof(f1566,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,smndt0(X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,smndt0(X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,smndt0(X4)))))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
| ~ spl6_11
| ~ spl6_145 ),
inference(resolution,[],[f1537,f220]) ).
fof(f5877,plain,
( spl6_495
| ~ spl6_30
| ~ spl6_141 ),
inference(avatar_split_clause,[],[f1488,f1467,f304,f5875]) ).
fof(f1467,plain,
( spl6_141
<=> ! [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,[spl6_141])]) ).
fof(f1488,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtlbdtrb0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtlbdtrb0(X3,X4)))))
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_141 ),
inference(resolution,[],[f1468,f305]) ).
fof(f1468,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| 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)))) )
| ~ spl6_141 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f5873,plain,
( spl6_494
| ~ spl6_32
| ~ spl6_141 ),
inference(avatar_split_clause,[],[f1486,f1467,f312,f5871]) ).
fof(f5871,plain,
( spl6_494
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtasdt0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtasdt0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X3,X4)))))
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
fof(f1486,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtasdt0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtasdt0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X3,X4)))))
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_141 ),
inference(resolution,[],[f1468,f313]) ).
fof(f5869,plain,
( spl6_493
| ~ spl6_31
| ~ spl6_141 ),
inference(avatar_split_clause,[],[f1485,f1467,f308,f5867]) ).
fof(f5867,plain,
( spl6_493
<=> ! [X4,X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtpldt0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtpldt0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X3,X4)))))
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
fof(f1485,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtpldt0(X3,X4)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtpldt0(X3,X4)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X3,X4)))))
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_141 ),
inference(resolution,[],[f1468,f309]) ).
fof(f5845,plain,
( spl6_492
| ~ spl6_64
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f1562,f1532,f560,f5843]) ).
fof(f5843,plain,
( spl6_492
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X3)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X3,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
fof(f1532,plain,
( spl6_144
<=> ! [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,[spl6_144])]) ).
fof(f1562,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X3)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X3,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X2,X1) )
| ~ spl6_64
| ~ spl6_144 ),
inference(duplicate_literal_removal,[],[f1547]) ).
fof(f1547,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X3)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X3,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_64
| ~ spl6_144 ),
inference(resolution,[],[f1533,f561]) ).
fof(f1533,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtasdt0(X3,X1) = sdtasdt0(X2,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1)) )
| ~ spl6_144 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f5793,plain,
( spl6_491
| ~ spl6_133
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f1560,f1532,f1396,f5791]) ).
fof(f5791,plain,
( spl6_491
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X3)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X3),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
fof(f1396,plain,
( spl6_133
<=> ! [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,[spl6_133])]) ).
fof(f1560,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X3)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X3),sz0z00) )
| ~ spl6_133
| ~ spl6_144 ),
inference(duplicate_literal_removal,[],[f1549]) ).
fof(f1549,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X3)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ sdtlseqdt0(sdtasdt0(X2,X3),sz0z00) )
| ~ spl6_133
| ~ spl6_144 ),
inference(resolution,[],[f1533,f1397]) ).
fof(f1397,plain,
( ! [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) )
| ~ spl6_133 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f5789,plain,
( ~ spl6_96
| spl6_490
| ~ spl6_5
| ~ spl6_449 ),
inference(avatar_split_clause,[],[f5377,f5324,f193,f5786,f1048]) ).
fof(f193,plain,
( spl6_5
<=> ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK3))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f5324,plain,
( spl6_449
<=> iLess0(aDimensionOf0(sziznziztdt0(sK3)),aDimensionOf0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
fof(f5377,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)))
| ~ aVector0(sziznziztdt0(sK3))
| ~ spl6_5
| ~ spl6_449 ),
inference(resolution,[],[f5326,f194]) ).
fof(f194,plain,
( ! [X1] :
( ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK3))
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f5326,plain,
( iLess0(aDimensionOf0(sziznziztdt0(sK3)),aDimensionOf0(sK3))
| ~ spl6_449 ),
inference(avatar_component_clause,[],[f5324]) ).
fof(f5784,plain,
( spl6_489
| ~ spl6_134
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1507,f1492,f1408,f5782]) ).
fof(f5782,plain,
( spl6_489
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X1,X2) = sdtpldt0(X0,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sdtpldt0(X1,X2),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
fof(f1408,plain,
( spl6_134
<=> ! [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,[spl6_134])]) ).
fof(f1492,plain,
( spl6_142
<=> ! [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,[spl6_142])]) ).
fof(f1507,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X1,X2) = sdtpldt0(X0,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sdtpldt0(X1,X2),sz0z00) )
| ~ spl6_134
| ~ spl6_142 ),
inference(duplicate_literal_removal,[],[f1496]) ).
fof(f1496,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X1,X2) = sdtpldt0(X0,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ sdtlseqdt0(sdtpldt0(X1,X2),sz0z00) )
| ~ spl6_134
| ~ spl6_142 ),
inference(resolution,[],[f1493,f1409]) ).
fof(f1409,plain,
( ! [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) )
| ~ spl6_134 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1493,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X2,X0))
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtpldt0(X3,X1) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1)) )
| ~ spl6_142 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f5780,plain,
( spl6_488
| ~ spl6_67
| ~ spl6_141 ),
inference(avatar_split_clause,[],[f1489,f1467,f589,f5778]) ).
fof(f1489,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(sdtasasdt0(X3,X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(sdtasasdt0(X3,X3)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasasdt0(X3,X3)))))
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_141 ),
inference(resolution,[],[f1468,f590]) ).
fof(f5747,plain,
( spl6_487
| ~ spl6_133
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1529,f1510,f1396,f5745]) ).
fof(f5745,plain,
( spl6_487
<=> ! [X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X4,sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
fof(f1529,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X4,sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,sz0z00) )
| ~ spl6_133
| ~ spl6_143 ),
inference(duplicate_literal_removal,[],[f1514]) ).
fof(f1514,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X4,sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(X4)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X4)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ sdtlseqdt0(X4,sz0z00) )
| ~ spl6_133
| ~ spl6_143 ),
inference(resolution,[],[f1511,f1397]) ).
fof(f5743,plain,
( spl6_486
| ~ spl6_134
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1483,f1463,f1408,f5741]) ).
fof(f5741,plain,
( spl6_486
<=> ! [X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X4,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X4,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
fof(f1483,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X4,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X4,sz0z00) )
| ~ spl6_134
| ~ spl6_140 ),
inference(duplicate_literal_removal,[],[f1470]) ).
fof(f1470,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X4,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(X4)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ aScalar0(X4)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ sdtlseqdt0(X4,sz0z00) )
| ~ spl6_134
| ~ spl6_140 ),
inference(resolution,[],[f1464,f1409]) ).
fof(f5708,plain,
( spl6_485
| ~ spl6_8
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f2482,f2075,f207,f5706]) ).
fof(f5706,plain,
( spl6_485
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
fof(f2075,plain,
( spl6_203
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f2482,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(X0)))
| ~ aVector0(X0) )
| ~ spl6_8
| ~ spl6_203 ),
inference(resolution,[],[f2076,f208]) ).
fof(f2076,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) )
| ~ spl6_203 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f5667,plain,
( spl6_484
| ~ spl6_4
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1569,f1540,f188,f5665]) ).
fof(f5665,plain,
( spl6_484
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sz0z00))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sz0z00))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sz0z00))))
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
fof(f1569,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtasdt0(X3,sz0z00))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X3,sz0z00))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X3,sz0z00))))
| ~ aScalar0(X3) )
| ~ spl6_4
| ~ spl6_146 ),
inference(resolution,[],[f1541,f190]) ).
fof(f5663,plain,
( spl6_483
| ~ spl6_4
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1563,f1536,f188,f5661]) ).
fof(f5661,plain,
( spl6_483
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sz0z00))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sz0z00))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sz0z00))))
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
fof(f1563,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtpldt0(X3,sz0z00))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X3,sz0z00))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X3,sz0z00))))
| ~ aScalar0(X3) )
| ~ spl6_4
| ~ spl6_145 ),
inference(resolution,[],[f1537,f190]) ).
fof(f5659,plain,
( spl6_482
| ~ spl6_11
| ~ spl6_141 ),
inference(avatar_split_clause,[],[f1487,f1467,f219,f5657]) ).
fof(f5657,plain,
( spl6_482
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(smndt0(X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(smndt0(X3)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X3)))))
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
fof(f1487,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,smndt0(smndt0(X3)))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,smndt0(smndt0(X3)))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X3)))))
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_141 ),
inference(resolution,[],[f1468,f220]) ).
fof(f5655,plain,
( spl6_481
| ~ spl6_30
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1459,f1447,f304,f5653]) ).
fof(f1447,plain,
( spl6_138
<=> ! [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,[spl6_138])]) ).
fof(f1459,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtlbdtrb0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_138 ),
inference(resolution,[],[f1448,f305]) ).
fof(f1448,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_138 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f5651,plain,
( spl6_480
| ~ spl6_32
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1457,f1447,f312,f5649]) ).
fof(f5649,plain,
( spl6_480
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
fof(f1457,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_138 ),
inference(resolution,[],[f1448,f313]) ).
fof(f5647,plain,
( spl6_479
| ~ spl6_31
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1456,f1447,f308,f5645]) ).
fof(f5645,plain,
( spl6_479
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtpldt0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
fof(f1456,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtpldt0(X2,X3),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_138 ),
inference(resolution,[],[f1448,f309]) ).
fof(f5643,plain,
( spl6_478
| ~ spl6_10
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f2481,f2075,f215,f5641]) ).
fof(f5641,plain,
( spl6_478
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
fof(f2481,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_203 ),
inference(resolution,[],[f2076,f216]) ).
fof(f5639,plain,
( spl6_477
| ~ spl6_64
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1016,f974,f560,f5637]) ).
fof(f5637,plain,
( spl6_477
<=> ! [X4,X0,X3,X2,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X3,X4))
| ~ aScalar0(sdtasdt0(X0,X1))
| sdtlseqdt0(X2,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X1,X4)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
fof(f1016,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X3,X4))
| ~ aScalar0(sdtasdt0(X0,X1))
| sdtlseqdt0(X2,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X1,X4)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X0) )
| ~ spl6_64
| ~ spl6_91 ),
inference(resolution,[],[f975,f561]) ).
fof(f5635,plain,
( spl6_476
| ~ spl6_65
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f602,f589,f566,f5633]) ).
fof(f566,plain,
( spl6_65
<=> ! [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,[spl6_65])]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,sdtasasdt0(X0,X0))) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,sdtasasdt0(X0,X0))),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasasdt0(X0,X0))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_65
| ~ spl6_67 ),
inference(resolution,[],[f590,f567]) ).
fof(f567,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) )
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f5562,plain,
( spl6_475
| ~ spl6_8
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2138,f2030,f207,f5560]) ).
fof(f5560,plain,
( spl6_475
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(X0)),sz0z00)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
fof(f2030,plain,
( spl6_197
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f2138,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(X0)),sz0z00)
| ~ aVector0(X0) )
| ~ spl6_8
| ~ spl6_197 ),
inference(resolution,[],[f2031,f208]) ).
fof(f2031,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) )
| ~ spl6_197 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f5551,plain,
( spl6_474
| ~ spl6_105
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f1561,f1532,f1133,f5549]) ).
fof(f5549,plain,
( spl6_474
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
fof(f1133,plain,
( spl6_105
<=> ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f1561,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sz0z00) )
| ~ spl6_105
| ~ spl6_144 ),
inference(duplicate_literal_removal,[],[f1548]) ).
fof(f1548,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sz0z00) )
| ~ spl6_105
| ~ spl6_144 ),
inference(resolution,[],[f1533,f1134]) ).
fof(f1134,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) )
| ~ spl6_105 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f5527,plain,
( ~ spl6_4
| spl6_473
| ~ spl6_51
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1524,f1510,f468,f5525,f188]) ).
fof(f5525,plain,
( spl6_473
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
fof(f468,plain,
( spl6_51
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f1524,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,X1) )
| ~ spl6_51
| ~ spl6_143 ),
inference(duplicate_literal_removal,[],[f1519]) ).
fof(f1519,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_51
| ~ spl6_143 ),
inference(resolution,[],[f1511,f469]) ).
fof(f469,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f5523,plain,
( spl6_472
| ~ spl6_62
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1508,f1492,f549,f5521]) ).
fof(f5521,plain,
( spl6_472
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X1,X2) = sdtpldt0(X0,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
fof(f1508,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X1,X2) = sdtpldt0(X0,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X0) )
| ~ spl6_62
| ~ spl6_142 ),
inference(duplicate_literal_removal,[],[f1495]) ).
fof(f1495,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X1,X2) = sdtpldt0(X0,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_62
| ~ spl6_142 ),
inference(resolution,[],[f1493,f550]) ).
fof(f5510,plain,
( ~ spl6_4
| spl6_471
| ~ spl6_50
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1479,f1463,f464,f5508,f188]) ).
fof(f5508,plain,
( spl6_471
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sdtpldt0(X1,X2))
| sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
fof(f1479,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X0) )
| ~ spl6_50
| ~ spl6_140 ),
inference(duplicate_literal_removal,[],[f1474]) ).
fof(f1474,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X0,X3))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X3)
| ~ aScalar0(X0) )
| ~ spl6_50
| ~ spl6_140 ),
inference(resolution,[],[f1464,f465]) ).
fof(f5506,plain,
( spl6_470
| ~ spl6_67
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1460,f1447,f589,f5504]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasasdt0(X2,X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sdtasasdt0(X2,X2)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_138 ),
inference(resolution,[],[f1448,f590]) ).
fof(f5502,plain,
( spl6_469
| ~ spl6_30
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1441,f1424,f304,f5500]) ).
fof(f1424,plain,
( spl6_136
<=> ! [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,[spl6_136])]) ).
fof(f1441,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_136 ),
inference(resolution,[],[f1425,f305]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl6_136 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f5498,plain,
( spl6_468
| ~ spl6_32
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1439,f1424,f312,f5496]) ).
fof(f5496,plain,
( spl6_468
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
fof(f1439,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_136 ),
inference(resolution,[],[f1425,f313]) ).
fof(f5494,plain,
( spl6_467
| ~ spl6_10
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2137,f2030,f215,f5492]) ).
fof(f2137,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,szszuzczcdt0(X0)),sz0z00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_197 ),
inference(resolution,[],[f2031,f216]) ).
fof(f5490,plain,
( spl6_466
| ~ spl6_31
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1438,f1424,f308,f5488]) ).
fof(f5488,plain,
( spl6_466
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
fof(f1438,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_136 ),
inference(resolution,[],[f1425,f309]) ).
fof(f5486,plain,
( spl6_465
| ~ spl6_30
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1435,f1420,f304,f5484]) ).
fof(f1420,plain,
( spl6_135
<=> ! [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,[spl6_135])]) ).
fof(f1435,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_135 ),
inference(resolution,[],[f1421,f305]) ).
fof(f1421,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl6_135 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f5482,plain,
( spl6_464
| ~ spl6_32
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1433,f1420,f312,f5480]) ).
fof(f5480,plain,
( spl6_464
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
fof(f1433,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_135 ),
inference(resolution,[],[f1421,f313]) ).
fof(f5478,plain,
( spl6_463
| ~ spl6_31
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1432,f1420,f308,f5476]) ).
fof(f5476,plain,
( spl6_463
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
fof(f1432,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_135 ),
inference(resolution,[],[f1421,f309]) ).
fof(f5462,plain,
( spl6_462
| ~ spl6_25
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1375,f1356,f284,f5460]) ).
fof(f5460,plain,
( spl6_462
<=> ! [X0] :
( sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)) = sdtpldt0(sdtasasdt0(sziznziztdt0(sziznziztdt0(X0)),sziznziztdt0(sziznziztdt0(X0))),sdtasdt0(sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(sziznziztdt0(X0))),sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(sziznziztdt0(X0)))))
| sz00 = aDimensionOf0(sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
fof(f1356,plain,
( spl6_130
<=> ! [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,[spl6_130])]) ).
fof(f1375,plain,
( ! [X0] :
( sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)) = sdtpldt0(sdtasasdt0(sziznziztdt0(sziznziztdt0(X0)),sziznziztdt0(sziznziztdt0(X0))),sdtasdt0(sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(sziznziztdt0(X0))),sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(sziznziztdt0(X0)))))
| sz00 = aDimensionOf0(sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl6_25
| ~ spl6_130 ),
inference(resolution,[],[f1357,f285]) ).
fof(f1357,plain,
( ! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| sz00 = aDimensionOf0(X0) )
| ~ spl6_130 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f5458,plain,
( spl6_461
| ~ spl6_62
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1015,f974,f549,f5456]) ).
fof(f5456,plain,
( spl6_461
<=> ! [X4,X0,X3,X2,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X3,X4))
| ~ aScalar0(sdtpldt0(X0,X1))
| sdtlseqdt0(X2,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X1,X4)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
fof(f1015,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X0,X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X3,X4))
| ~ aScalar0(sdtpldt0(X0,X1))
| sdtlseqdt0(X2,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X1,X4)
| ~ sdtlseqdt0(X0,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X0) )
| ~ spl6_62
| ~ spl6_91 ),
inference(resolution,[],[f975,f550]) ).
fof(f5431,plain,
( spl6_460
| ~ spl6_77
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1585,f1579,f765,f5428]) ).
fof(f5428,plain,
( spl6_460
<=> sdtlbdtrb0(sK3,aDimensionOf0(sK3)) = sdtlbdtrb0(sziznziztdt0(sK3),aDimensionOf0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
fof(f1585,plain,
( sdtlbdtrb0(sK3,aDimensionOf0(sK3)) = sdtlbdtrb0(sziznziztdt0(sK3),aDimensionOf0(sK3))
| ~ spl6_77
| ~ spl6_148 ),
inference(resolution,[],[f1580,f767]) ).
fof(f5423,plain,
( spl6_459
| ~ spl6_105
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1530,f1510,f1133,f5421]) ).
fof(f5421,plain,
( spl6_459
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X3,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
fof(f1530,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X3,sz0z00) )
| ~ spl6_105
| ~ spl6_143 ),
inference(duplicate_literal_removal,[],[f1513]) ).
fof(f1513,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X3)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X3,sz0z00) )
| ~ spl6_105
| ~ spl6_143 ),
inference(resolution,[],[f1511,f1134]) ).
fof(f5419,plain,
( spl6_458
| ~ spl6_67
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1442,f1424,f589,f5417]) ).
fof(f1442,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X3,X3))),sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_136 ),
inference(resolution,[],[f1425,f590]) ).
fof(f5415,plain,
( spl6_457
| ~ spl6_67
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1436,f1420,f589,f5413]) ).
fof(f1436,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X3,X3))),sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_135 ),
inference(resolution,[],[f1421,f590]) ).
fof(f5401,plain,
( spl6_456
| ~ spl6_11
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1458,f1447,f219,f5399]) ).
fof(f5399,plain,
( spl6_456
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(smndt0(X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
fof(f1458,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(smndt0(X2),sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_138 ),
inference(resolution,[],[f1448,f220]) ).
fof(f5362,plain,
( spl6_455
| ~ spl6_30
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1369,f1346,f304,f5360]) ).
fof(f1346,plain,
( spl6_128
<=> ! [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,[spl6_128])]) ).
fof(f1369,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_128 ),
inference(resolution,[],[f1347,f305]) ).
fof(f1347,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl6_128 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f5358,plain,
( spl6_454
| ~ spl6_32
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1367,f1346,f312,f5356]) ).
fof(f5356,plain,
( spl6_454
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
fof(f1367,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_128 ),
inference(resolution,[],[f1347,f313]) ).
fof(f5354,plain,
( spl6_453
| ~ spl6_31
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1366,f1346,f308,f5352]) ).
fof(f5352,plain,
( spl6_453
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
fof(f1366,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_128 ),
inference(resolution,[],[f1347,f309]) ).
fof(f5350,plain,
( spl6_452
| ~ spl6_30
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1363,f1342,f304,f5348]) ).
fof(f1342,plain,
( spl6_127
<=> ! [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,[spl6_127])]) ).
fof(f1363,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_127 ),
inference(resolution,[],[f1343,f305]) ).
fof(f1343,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl6_127 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f5346,plain,
( spl6_451
| ~ spl6_32
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1361,f1342,f312,f5344]) ).
fof(f5344,plain,
( spl6_451
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
fof(f1361,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_127 ),
inference(resolution,[],[f1343,f313]) ).
fof(f5342,plain,
( spl6_450
| ~ spl6_31
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1360,f1342,f308,f5340]) ).
fof(f5340,plain,
( spl6_450
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
fof(f1360,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_127 ),
inference(resolution,[],[f1343,f309]) ).
fof(f5327,plain,
( ~ spl6_76
| spl6_449
| ~ spl6_13
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f708,f691,f228,f5324,f761]) ).
fof(f228,plain,
( spl6_13
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f708,plain,
( iLess0(aDimensionOf0(sziznziztdt0(sK3)),aDimensionOf0(sK3))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK3)))
| ~ spl6_13
| ~ spl6_75 ),
inference(superposition,[],[f229,f693]) ).
fof(f229,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f5277,plain,
( ~ spl6_4
| spl6_448
| ~ spl6_18
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1525,f1510,f250,f5275,f188]) ).
fof(f5275,plain,
( spl6_448
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
fof(f1525,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(sz0z00) )
| ~ spl6_18
| ~ spl6_143 ),
inference(duplicate_literal_removal,[],[f1518]) ).
fof(f1518,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_18
| ~ spl6_143 ),
inference(resolution,[],[f1511,f251]) ).
fof(f5273,plain,
( spl6_447
| ~ spl6_25
| ~ spl6_137 ),
inference(avatar_split_clause,[],[f1444,f1428,f284,f5271]) ).
fof(f5271,plain,
( spl6_447
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtlbdtrb0(sziznziztdt0(X3),X2)) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sziznziztdt0(X3),X2)),sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
fof(f1428,plain,
( spl6_137
<=> ! [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,[spl6_137])]) ).
fof(f1444,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtlbdtrb0(sziznziztdt0(X3),X2)) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sziznziztdt0(X3),X2)),sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) )
| ~ spl6_25
| ~ spl6_137 ),
inference(resolution,[],[f1429,f285]) ).
fof(f1429,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sdtlbdtrb0(X2,X3))) )
| ~ spl6_137 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f5269,plain,
( spl6_446
| ~ spl6_11
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1440,f1424,f219,f5267]) ).
fof(f5267,plain,
( spl6_446
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))),sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
fof(f1440,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))),sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_136 ),
inference(resolution,[],[f1425,f220]) ).
fof(f5265,plain,
( spl6_445
| ~ spl6_11
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1434,f1420,f219,f5263]) ).
fof(f5263,plain,
( spl6_445
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))),sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
fof(f1434,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))),sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_135 ),
inference(resolution,[],[f1421,f220]) ).
fof(f5261,plain,
( spl6_444
| ~ spl6_30
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1275,f1268,f304,f5259]) ).
fof(f1268,plain,
( spl6_118
<=> ! [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,[spl6_118])]) ).
fof(f1275,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtlbdtrb0(X2,X3))),sdtasdt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_118 ),
inference(resolution,[],[f1269,f305]) ).
fof(f1269,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))) )
| ~ spl6_118 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f5250,plain,
( spl6_443
| ~ spl6_32
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1273,f1268,f312,f5248]) ).
fof(f5248,plain,
( spl6_443
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))),sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).
fof(f1273,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))),sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_118 ),
inference(resolution,[],[f1269,f313]) ).
fof(f5246,plain,
( spl6_442
| ~ spl6_31
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1272,f1268,f308,f5244]) ).
fof(f5244,plain,
( spl6_442
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))),sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).
fof(f1272,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))),sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_118 ),
inference(resolution,[],[f1269,f309]) ).
fof(f5014,plain,
( spl6_441
| ~ spl6_91
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1418,f1408,f974,f5012]) ).
fof(f5012,plain,
( spl6_441
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).
fof(f1418,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1)) )
| ~ spl6_91
| ~ spl6_134 ),
inference(duplicate_literal_removal,[],[f1411]) ).
fof(f1411,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X2)
| sdtlseqdt0(X3,sdtpldt0(X0,X1)) )
| ~ spl6_91
| ~ spl6_134 ),
inference(resolution,[],[f1409,f975]) ).
fof(f5010,plain,
( spl6_440
| ~ spl6_52
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1417,f1408,f472,f5008]) ).
fof(f5008,plain,
( spl6_440
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).
fof(f472,plain,
( spl6_52
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f1417,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(X3) )
| ~ spl6_52
| ~ spl6_134 ),
inference(duplicate_literal_removal,[],[f1412]) ).
fof(f1412,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_52
| ~ spl6_134 ),
inference(resolution,[],[f1409,f473]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f5006,plain,
( spl6_439
| ~ spl6_45
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1416,f1408,f387,f5004]) ).
fof(f5004,plain,
( spl6_439
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtpldt0(X0,X1) = X2
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
fof(f387,plain,
( spl6_45
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f1416,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtpldt0(X0,X1) = X2
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) )
| ~ spl6_45
| ~ spl6_134 ),
inference(duplicate_literal_removal,[],[f1413]) ).
fof(f1413,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtpldt0(X0,X1) = X2
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtpldt0(X0,X1)) )
| ~ spl6_45
| ~ spl6_134 ),
inference(resolution,[],[f1409,f388]) ).
fof(f388,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f5002,plain,
( spl6_438
| ~ spl6_91
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1406,f1396,f974,f5000]) ).
fof(f5000,plain,
( spl6_438
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).
fof(f1406,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1)) )
| ~ spl6_91
| ~ spl6_133 ),
inference(duplicate_literal_removal,[],[f1399]) ).
fof(f1399,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X2)
| sdtlseqdt0(X3,sdtasdt0(X0,X1)) )
| ~ spl6_91
| ~ spl6_133 ),
inference(resolution,[],[f1397,f975]) ).
fof(f4998,plain,
( spl6_437
| ~ spl6_52
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1405,f1396,f472,f4996]) ).
fof(f4996,plain,
( spl6_437
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).
fof(f1405,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(X3) )
| ~ spl6_52
| ~ spl6_133 ),
inference(duplicate_literal_removal,[],[f1400]) ).
fof(f1400,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_52
| ~ spl6_133 ),
inference(resolution,[],[f1397,f473]) ).
fof(f4994,plain,
( spl6_436
| ~ spl6_45
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1404,f1396,f387,f4992]) ).
fof(f4992,plain,
( spl6_436
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtasdt0(X0,X1) = X2
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).
fof(f1404,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtasdt0(X0,X1) = X2
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) )
| ~ spl6_45
| ~ spl6_133 ),
inference(duplicate_literal_removal,[],[f1401]) ).
fof(f1401,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,sz0z00)
| sdtasdt0(X0,X1) = X2
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X1)) )
| ~ spl6_45
| ~ spl6_133 ),
inference(resolution,[],[f1397,f388]) ).
fof(f4990,plain,
( spl6_435
| ~ spl6_67
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1370,f1346,f589,f4988]) ).
fof(f1370,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_128 ),
inference(resolution,[],[f1347,f590]) ).
fof(f4986,plain,
( spl6_434
| ~ spl6_67
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1364,f1342,f589,f4984]) ).
fof(f1364,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_127 ),
inference(resolution,[],[f1343,f590]) ).
fof(f4965,plain,
( spl6_433
| ~ spl6_30
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1336,f1295,f304,f4963]) ).
fof(f1295,plain,
( spl6_123
<=> ! [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,[spl6_123])]) ).
fof(f1336,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_123 ),
inference(resolution,[],[f1296,f305]) ).
fof(f1296,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) )
| ~ spl6_123 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f4961,plain,
( spl6_432
| ~ spl6_32
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1334,f1295,f312,f4959]) ).
fof(f4959,plain,
( spl6_432
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).
fof(f1334,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_123 ),
inference(resolution,[],[f1296,f313]) ).
fof(f4957,plain,
( spl6_431
| ~ spl6_31
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1333,f1295,f308,f4955]) ).
fof(f4955,plain,
( spl6_431
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).
fof(f1333,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_123 ),
inference(resolution,[],[f1296,f309]) ).
fof(f4953,plain,
( spl6_430
| ~ spl6_30
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1330,f1291,f304,f4951]) ).
fof(f1291,plain,
( spl6_122
<=> ! [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,[spl6_122])]) ).
fof(f1330,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_122 ),
inference(resolution,[],[f1292,f305]) ).
fof(f1292,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) )
| ~ spl6_122 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f4949,plain,
( spl6_429
| ~ spl6_32
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1328,f1291,f312,f4947]) ).
fof(f4947,plain,
( spl6_429
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).
fof(f1328,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_122 ),
inference(resolution,[],[f1292,f313]) ).
fof(f4945,plain,
( spl6_428
| ~ spl6_31
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1327,f1291,f308,f4943]) ).
fof(f4943,plain,
( spl6_428
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).
fof(f1327,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_122 ),
inference(resolution,[],[f1292,f309]) ).
fof(f4941,plain,
( spl6_427
| ~ spl6_30
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1321,f1283,f304,f4939]) ).
fof(f1283,plain,
( spl6_120
<=> ! [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,[spl6_120])]) ).
fof(f1321,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_120 ),
inference(resolution,[],[f1284,f305]) ).
fof(f1284,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) )
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f4937,plain,
( spl6_426
| ~ spl6_32
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1319,f1283,f312,f4935]) ).
fof(f4935,plain,
( spl6_426
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).
fof(f1319,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_120 ),
inference(resolution,[],[f1284,f313]) ).
fof(f4933,plain,
( spl6_425
| ~ spl6_31
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1318,f1283,f308,f4931]) ).
fof(f4931,plain,
( spl6_425
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).
fof(f1318,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_120 ),
inference(resolution,[],[f1284,f309]) ).
fof(f4929,plain,
( spl6_424
| ~ spl6_30
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1315,f1279,f304,f4927]) ).
fof(f1279,plain,
( spl6_119
<=> ! [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,[spl6_119])]) ).
fof(f1315,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl6_30
| ~ spl6_119 ),
inference(resolution,[],[f1280,f305]) ).
fof(f1280,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) )
| ~ spl6_119 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f4925,plain,
( spl6_423
| ~ spl6_24
| ~ spl6_260 ),
inference(avatar_split_clause,[],[f2833,f2767,f274,f4922]) ).
fof(f4922,plain,
( spl6_423
<=> sdtlbdtrb0(sK3,sz00) = smndt0(smndt0(sdtlbdtrb0(sK3,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).
fof(f274,plain,
( spl6_24
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f2767,plain,
( spl6_260
<=> sP2(sdtlbdtrb0(sK3,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f2833,plain,
( sdtlbdtrb0(sK3,sz00) = smndt0(smndt0(sdtlbdtrb0(sK3,sz00)))
| ~ spl6_24
| ~ spl6_260 ),
inference(resolution,[],[f2769,f275]) ).
fof(f275,plain,
( ! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 )
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f2769,plain,
( sP2(sdtlbdtrb0(sK3,sz00))
| ~ spl6_260 ),
inference(avatar_component_clause,[],[f2767]) ).
fof(f4920,plain,
( spl6_422
| ~ spl6_32
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1313,f1279,f312,f4918]) ).
fof(f4918,plain,
( spl6_422
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).
fof(f1313,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_32
| ~ spl6_119 ),
inference(resolution,[],[f1280,f313]) ).
fof(f4916,plain,
( spl6_421
| ~ spl6_31
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1312,f1279,f308,f4914]) ).
fof(f4914,plain,
( spl6_421
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).
fof(f1312,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl6_31
| ~ spl6_119 ),
inference(resolution,[],[f1280,f309]) ).
fof(f4909,plain,
( spl6_420
| ~ spl6_67
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1276,f1268,f589,f4907]) ).
fof(f1276,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasasdt0(X2,X2))),sdtasdt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_118 ),
inference(resolution,[],[f1269,f590]) ).
fof(f4855,plain,
( spl6_419
| ~ spl6_25
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1372,f1350,f284,f4853]) ).
fof(f4853,plain,
( spl6_419
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).
fof(f1350,plain,
( spl6_129
<=> ! [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,[spl6_129])]) ).
fof(f1372,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) )
| ~ spl6_25
| ~ spl6_129 ),
inference(resolution,[],[f1351,f285]) ).
fof(f1351,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(X2,X3))) )
| ~ spl6_129 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f4851,plain,
( spl6_418
| ~ spl6_11
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1368,f1346,f219,f4849]) ).
fof(f4849,plain,
( spl6_418
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).
fof(f1368,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_128 ),
inference(resolution,[],[f1347,f220]) ).
fof(f4847,plain,
( spl6_417
| ~ spl6_11
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1362,f1342,f219,f4845]) ).
fof(f4845,plain,
( spl6_417
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
fof(f1362,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_127 ),
inference(resolution,[],[f1343,f220]) ).
fof(f4843,plain,
( spl6_416
| ~ spl6_67
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1337,f1295,f589,f4841]) ).
fof(f1337,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_123 ),
inference(resolution,[],[f1296,f590]) ).
fof(f4839,plain,
( spl6_415
| ~ spl6_67
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1331,f1291,f589,f4837]) ).
fof(f1331,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_122 ),
inference(resolution,[],[f1292,f590]) ).
fof(f4835,plain,
( spl6_414
| ~ spl6_67
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1322,f1283,f589,f4833]) ).
fof(f1322,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_120 ),
inference(resolution,[],[f1284,f590]) ).
fof(f4831,plain,
( spl6_413
| ~ spl6_67
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1316,f1279,f589,f4829]) ).
fof(f1316,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasasdt0(X3,X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasasdt0(X3,X3))))
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl6_67
| ~ spl6_119 ),
inference(resolution,[],[f1280,f590]) ).
fof(f4827,plain,
( spl6_412
| ~ spl6_30
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1264,f1257,f304,f4825]) ).
fof(f1257,plain,
( spl6_117
<=> ! [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,[spl6_117])]) ).
fof(f1264,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtlbdtrb0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_117 ),
inference(resolution,[],[f1258,f305]) ).
fof(f1258,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2))) )
| ~ spl6_117 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f4823,plain,
( spl6_411
| ~ spl6_32
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1262,f1257,f312,f4821]) ).
fof(f4821,plain,
( spl6_411
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).
fof(f1262,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_117 ),
inference(resolution,[],[f1258,f313]) ).
fof(f4819,plain,
( spl6_410
| ~ spl6_31
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1261,f1257,f308,f4817]) ).
fof(f4817,plain,
( spl6_410
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).
fof(f1261,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_117 ),
inference(resolution,[],[f1258,f309]) ).
fof(f4800,plain,
( ~ spl6_4
| spl6_409
| ~ spl6_50
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1014,f974,f464,f4798,f188]) ).
fof(f4798,plain,
( spl6_409
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).
fof(f1014,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_50
| ~ spl6_91 ),
inference(resolution,[],[f975,f465]) ).
fof(f4766,plain,
( ~ spl6_4
| spl6_408
| ~ spl6_51
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1013,f974,f468,f4764,f188]) ).
fof(f4764,plain,
( spl6_408
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).
fof(f1013,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_51
| ~ spl6_91 ),
inference(resolution,[],[f975,f469]) ).
fof(f4742,plain,
( ~ spl6_1
| ~ spl6_407
| spl6_2
| ~ spl6_333 ),
inference(avatar_split_clause,[],[f3744,f3741,f178,f4739,f173]) ).
fof(f4739,plain,
( spl6_407
<=> iLess0(aDimensionOf0(sK3),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).
fof(f3744,plain,
( ~ iLess0(aDimensionOf0(sK3),sz00)
| ~ aVector0(sK3)
| spl6_2
| ~ spl6_333 ),
inference(resolution,[],[f3742,f180]) ).
fof(f180,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3))
| spl6_2 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f4555,plain,
( ~ spl6_4
| ~ spl6_12
| spl6_393 ),
inference(avatar_split_clause,[],[f4496,f4452,f223,f188]) ).
fof(f223,plain,
( spl6_12
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f4452,plain,
( spl6_393
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
fof(f4496,plain,
( ~ aScalar0(sz0z00)
| ~ spl6_12
| spl6_393 ),
inference(resolution,[],[f4454,f224]) ).
fof(f224,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) )
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f4454,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl6_393 ),
inference(avatar_component_clause,[],[f4452]) ).
fof(f4516,plain,
( spl6_406
| ~ spl6_4
| ~ spl6_56
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1461,f1447,f499,f188,f4514]) ).
fof(f4514,plain,
( spl6_406
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sz0z00),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).
fof(f499,plain,
( spl6_56
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f1461,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sz0z00),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_56
| ~ spl6_138 ),
inference(forward_demodulation,[],[f1455,f501]) ).
fof(f501,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f1455,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz0z00,sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,sz0z00),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_138 ),
inference(resolution,[],[f1448,f190]) ).
fof(f4512,plain,
( spl6_405
| ~ spl6_4
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f1437,f1424,f188,f4510]) ).
fof(f4510,plain,
( spl6_405
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz0z00)),sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).
fof(f1437,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz0z00)),sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_136 ),
inference(resolution,[],[f1425,f190]) ).
fof(f4508,plain,
( spl6_404
| ~ spl6_4
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1431,f1420,f188,f4506]) ).
fof(f4506,plain,
( spl6_404
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz0z00)),sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).
fof(f1431,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz0z00)),sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_135 ),
inference(resolution,[],[f1421,f190]) ).
fof(f4495,plain,
( spl6_403
| ~ spl6_25
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f1339,f1308,f284,f4493]) ).
fof(f4493,plain,
( spl6_403
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X1,X0),sdtlbdtrb0(sziznziztdt0(X3),X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
fof(f1308,plain,
( spl6_126
<=> ! [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,[spl6_126])]) ).
fof(f1339,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X1,X0),sdtlbdtrb0(sziznziztdt0(X3),X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) )
| ~ spl6_25
| ~ spl6_126 ),
inference(resolution,[],[f1309,f285]) ).
fof(f1309,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtasdt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) )
| ~ spl6_126 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f4491,plain,
( spl6_402
| ~ spl6_11
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1335,f1295,f219,f4489]) ).
fof(f4489,plain,
( spl6_402
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
fof(f1335,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_123 ),
inference(resolution,[],[f1296,f220]) ).
fof(f4487,plain,
( spl6_401
| ~ spl6_11
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1329,f1291,f219,f4485]) ).
fof(f4485,plain,
( spl6_401
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
fof(f1329,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_122 ),
inference(resolution,[],[f1292,f220]) ).
fof(f4483,plain,
( spl6_400
| ~ spl6_25
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f1324,f1287,f284,f4481]) ).
fof(f4481,plain,
( spl6_400
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X1,X0),sdtlbdtrb0(sziznziztdt0(X3),X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
fof(f1287,plain,
( spl6_121
<=> ! [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,[spl6_121])]) ).
fof(f1324,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X1,X0),sdtlbdtrb0(sziznziztdt0(X3),X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X3),X2)))
| ~ sP1(X3) )
| ~ spl6_25
| ~ spl6_121 ),
inference(resolution,[],[f1288,f285]) ).
fof(f1288,plain,
( ! [X2,X3,X0,X1] :
( ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| sdtpldt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) )
| ~ spl6_121 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f4479,plain,
( spl6_399
| ~ spl6_11
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1320,f1283,f219,f4477]) ).
fof(f4477,plain,
( spl6_399
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
fof(f1320,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_120 ),
inference(resolution,[],[f1284,f220]) ).
fof(f4475,plain,
( spl6_398
| ~ spl6_11
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1314,f1279,f219,f4473]) ).
fof(f4473,plain,
( spl6_398
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
fof(f1314,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl6_11
| ~ spl6_119 ),
inference(resolution,[],[f1280,f220]) ).
fof(f4471,plain,
( spl6_397
| ~ spl6_11
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1274,f1268,f219,f4469]) ).
fof(f4469,plain,
( spl6_397
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(smndt0(X2))),sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
fof(f1274,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(smndt0(X2))),sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_118 ),
inference(resolution,[],[f1269,f220]) ).
fof(f4467,plain,
( spl6_396
| ~ spl6_67
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1265,f1257,f589,f4465]) ).
fof(f1265,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasasdt0(X2,X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_117 ),
inference(resolution,[],[f1258,f590]) ).
fof(f4463,plain,
( spl6_395
| ~ spl6_30
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1253,f1186,f304,f4461]) ).
fof(f1186,plain,
( spl6_116
<=> ! [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,[spl6_116])]) ).
fof(f1253,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_116 ),
inference(resolution,[],[f1187,f305]) ).
fof(f1187,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) )
| ~ spl6_116 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f4459,plain,
( spl6_394
| ~ spl6_32
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1251,f1186,f312,f4457]) ).
fof(f4457,plain,
( spl6_394
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_116 ),
inference(resolution,[],[f1187,f313]) ).
fof(f4455,plain,
( ~ spl6_393
| spl6_2
| ~ spl6_372 ),
inference(avatar_split_clause,[],[f4406,f4362,f178,f4452]) ).
fof(f4362,plain,
( spl6_372
<=> sz0z00 = sdtasasdt0(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f4406,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl6_2
| ~ spl6_372 ),
inference(superposition,[],[f180,f4364]) ).
fof(f4364,plain,
( sz0z00 = sdtasasdt0(sK3,sK3)
| ~ spl6_372 ),
inference(avatar_component_clause,[],[f4362]) ).
fof(f4450,plain,
( spl6_392
| ~ spl6_31
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1250,f1186,f308,f4448]) ).
fof(f4448,plain,
( spl6_392
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
fof(f1250,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_116 ),
inference(resolution,[],[f1187,f309]) ).
fof(f4446,plain,
( spl6_391
| ~ spl6_30
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1242,f1182,f304,f4444]) ).
fof(f1182,plain,
( spl6_115
<=> ! [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,[spl6_115])]) ).
fof(f1242,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtlbdtrb0(X2,X3))))
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_115 ),
inference(resolution,[],[f1183,f305]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) )
| ~ spl6_115 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f4442,plain,
( spl6_390
| ~ spl6_32
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1240,f1182,f312,f4440]) ).
fof(f4440,plain,
( spl6_390
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f1240,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_115 ),
inference(resolution,[],[f1183,f313]) ).
fof(f4438,plain,
( spl6_389
| ~ spl6_31
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1239,f1182,f308,f4436]) ).
fof(f4436,plain,
( spl6_389
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
fof(f1239,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_115 ),
inference(resolution,[],[f1183,f309]) ).
fof(f4434,plain,
( spl6_388
| ~ spl6_30
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1233,f1174,f304,f4432]) ).
fof(f1174,plain,
( spl6_113
<=> ! [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,[spl6_113])]) ).
fof(f1233,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_113 ),
inference(resolution,[],[f1175,f305]) ).
fof(f1175,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X1) )
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f4430,plain,
( spl6_387
| ~ spl6_32
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1231,f1174,f312,f4428]) ).
fof(f4428,plain,
( spl6_387
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
fof(f1231,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_113 ),
inference(resolution,[],[f1175,f313]) ).
fof(f4426,plain,
( spl6_386
| ~ spl6_31
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1230,f1174,f308,f4424]) ).
fof(f4424,plain,
( spl6_386
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
fof(f1230,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_113 ),
inference(resolution,[],[f1175,f309]) ).
fof(f4422,plain,
( spl6_385
| ~ spl6_30
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f1227,f1170,f304,f4420]) ).
fof(f1170,plain,
( spl6_112
<=> ! [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,[spl6_112])]) ).
fof(f1227,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_112 ),
inference(resolution,[],[f1171,f305]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X1) )
| ~ spl6_112 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f4418,plain,
( spl6_384
| ~ spl6_32
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f1225,f1170,f312,f4416]) ).
fof(f4416,plain,
( spl6_384
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
fof(f1225,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_112 ),
inference(resolution,[],[f1171,f313]) ).
fof(f4414,plain,
( spl6_383
| ~ spl6_31
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f1224,f1170,f308,f4412]) ).
fof(f4412,plain,
( spl6_383
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
fof(f1224,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_112 ),
inference(resolution,[],[f1171,f309]) ).
fof(f4405,plain,
( spl6_382
| ~ spl6_30
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1218,f1162,f304,f4403]) ).
fof(f1162,plain,
( spl6_110
<=> ! [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,[spl6_110])]) ).
fof(f1218,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_110 ),
inference(resolution,[],[f1163,f305]) ).
fof(f1163,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl6_110 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f4401,plain,
( spl6_381
| ~ spl6_32
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1216,f1162,f312,f4399]) ).
fof(f4399,plain,
( spl6_381
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
fof(f1216,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_110 ),
inference(resolution,[],[f1163,f313]) ).
fof(f4397,plain,
( spl6_380
| ~ spl6_31
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1215,f1162,f308,f4395]) ).
fof(f4395,plain,
( spl6_380
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtpldt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
fof(f1215,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtpldt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_110 ),
inference(resolution,[],[f1163,f309]) ).
fof(f4393,plain,
( spl6_379
| ~ spl6_30
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1212,f1158,f304,f4391]) ).
fof(f1158,plain,
( spl6_109
<=> ! [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,[spl6_109])]) ).
fof(f1212,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_109 ),
inference(resolution,[],[f1159,f305]) ).
fof(f1159,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl6_109 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f4389,plain,
( spl6_378
| ~ spl6_32
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1210,f1158,f312,f4387]) ).
fof(f4387,plain,
( spl6_378
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_109 ),
inference(resolution,[],[f1159,f313]) ).
fof(f4385,plain,
( spl6_377
| ~ spl6_31
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1209,f1158,f308,f4383]) ).
fof(f4383,plain,
( spl6_377
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtpldt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).
fof(f1209,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtpldt0(X2,X3)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_109 ),
inference(resolution,[],[f1159,f309]) ).
fof(f4381,plain,
( spl6_376
| ~ spl6_30
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1203,f1150,f304,f4379]) ).
fof(f1150,plain,
( spl6_107
<=> ! [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,[spl6_107])]) ).
fof(f1203,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_107 ),
inference(resolution,[],[f1151,f305]) ).
fof(f1151,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl6_107 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f4377,plain,
( spl6_375
| ~ spl6_32
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1201,f1150,f312,f4375]) ).
fof(f4375,plain,
( spl6_375
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
fof(f1201,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_107 ),
inference(resolution,[],[f1151,f313]) ).
fof(f4373,plain,
( spl6_374
| ~ spl6_31
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1200,f1150,f308,f4371]) ).
fof(f4371,plain,
( spl6_374
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
fof(f1200,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_107 ),
inference(resolution,[],[f1151,f309]) ).
fof(f4369,plain,
( spl6_373
| ~ spl6_30
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1197,f1145,f304,f4367]) ).
fof(f1145,plain,
( spl6_106
<=> ! [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,[spl6_106])]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3))))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_106 ),
inference(resolution,[],[f1146,f305]) ).
fof(f1146,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f4365,plain,
( spl6_372
| ~ spl6_1
| ~ spl6_34
| ~ spl6_336 ),
inference(avatar_split_clause,[],[f3767,f3763,f325,f173,f4362]) ).
fof(f325,plain,
( spl6_34
<=> sz00 = aDimensionOf0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f3763,plain,
( spl6_336
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,sK3)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
fof(f3767,plain,
( ~ aVector0(sK3)
| sz0z00 = sdtasasdt0(sK3,sK3)
| ~ spl6_34
| ~ spl6_336 ),
inference(trivial_inequality_removal,[],[f3766]) ).
fof(f3766,plain,
( sz00 != sz00
| ~ aVector0(sK3)
| sz0z00 = sdtasasdt0(sK3,sK3)
| ~ spl6_34
| ~ spl6_336 ),
inference(superposition,[],[f3764,f327]) ).
fof(f327,plain,
( sz00 = aDimensionOf0(sK3)
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f3764,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,sK3) )
| ~ spl6_336 ),
inference(avatar_component_clause,[],[f3763]) ).
fof(f4360,plain,
( spl6_371
| ~ spl6_32
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1195,f1145,f312,f4358]) ).
fof(f4358,plain,
( spl6_371
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
fof(f1195,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_106 ),
inference(resolution,[],[f1146,f313]) ).
fof(f4356,plain,
( spl6_370
| ~ spl6_31
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1194,f1145,f308,f4354]) ).
fof(f4354,plain,
( spl6_370
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
fof(f1194,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtpldt0(X2,X3))))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_106 ),
inference(resolution,[],[f1146,f309]) ).
fof(f4352,plain,
( spl6_369
| ~ spl6_58
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f601,f589,f518,f4350]) ).
fof(f518,plain,
( spl6_58
<=> ! [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,[spl6_58])]) ).
fof(f601,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtpldt0(X1,X2),sdtasasdt0(X0,X0)) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(X0,X0)),sdtasdt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_58
| ~ spl6_67 ),
inference(resolution,[],[f590,f519]) ).
fof(f519,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f3985,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_30
| spl6_277 ),
inference(avatar_split_clause,[],[f3843,f2877,f304,f183,f173]) ).
fof(f2877,plain,
( spl6_277
<=> aScalar0(sdtlbdtrb0(sK3,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f3843,plain,
( ~ aNaturalNumber0(sz00)
| ~ aVector0(sK3)
| ~ spl6_30
| spl6_277 ),
inference(resolution,[],[f2878,f305]) ).
fof(f2878,plain,
( ~ aScalar0(sdtlbdtrb0(sK3,sz00))
| spl6_277 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f3908,plain,
( spl6_368
| ~ spl6_4
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1365,f1346,f188,f3906]) ).
fof(f3906,plain,
( spl6_368
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
fof(f1365,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_128 ),
inference(resolution,[],[f1347,f190]) ).
fof(f3904,plain,
( spl6_367
| ~ spl6_4
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1359,f1342,f188,f3902]) ).
fof(f3902,plain,
( spl6_367
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f1359,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_127 ),
inference(resolution,[],[f1343,f190]) ).
fof(f3900,plain,
( spl6_366
| ~ spl6_11
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1263,f1257,f219,f3898]) ).
fof(f3898,plain,
( spl6_366
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
fof(f1263,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_117 ),
inference(resolution,[],[f1258,f220]) ).
fof(f3896,plain,
( spl6_365
| ~ spl6_67
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1254,f1186,f589,f3894]) ).
fof(f1254,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_116 ),
inference(resolution,[],[f1187,f590]) ).
fof(f3892,plain,
( spl6_364
| ~ spl6_67
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1243,f1182,f589,f3890]) ).
fof(f1243,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasasdt0(X2,X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasasdt0(X2,X2))))
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_115 ),
inference(resolution,[],[f1183,f590]) ).
fof(f3888,plain,
( spl6_363
| ~ spl6_67
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1234,f1174,f589,f3886]) ).
fof(f1234,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_113 ),
inference(resolution,[],[f1175,f590]) ).
fof(f3884,plain,
( ~ spl6_3
| ~ spl6_1
| ~ spl6_68
| spl6_260 ),
inference(avatar_split_clause,[],[f3761,f2767,f604,f173,f183]) ).
fof(f604,plain,
( spl6_68
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f3761,plain,
( ~ aVector0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ spl6_68
| spl6_260 ),
inference(resolution,[],[f2768,f605]) ).
fof(f605,plain,
( ! [X0,X1] :
( sP2(sdtlbdtrb0(X1,X0))
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_68 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f2768,plain,
( ~ sP2(sdtlbdtrb0(sK3,sz00))
| spl6_260 ),
inference(avatar_component_clause,[],[f2767]) ).
fof(f3883,plain,
( spl6_362
| ~ spl6_67
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f1228,f1170,f589,f3881]) ).
fof(f1228,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_112 ),
inference(resolution,[],[f1171,f590]) ).
fof(f3879,plain,
( spl6_361
| ~ spl6_67
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1219,f1162,f589,f3877]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasasdt0(X2,X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_110 ),
inference(resolution,[],[f1163,f590]) ).
fof(f3875,plain,
( spl6_360
| ~ spl6_67
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1213,f1158,f589,f3873]) ).
fof(f1213,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasasdt0(X2,X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_109 ),
inference(resolution,[],[f1159,f590]) ).
fof(f3871,plain,
( spl6_359
| ~ spl6_67
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1204,f1150,f589,f3869]) ).
fof(f1204,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_107 ),
inference(resolution,[],[f1151,f590]) ).
fof(f3867,plain,
( spl6_358
| ~ spl6_67
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1198,f1145,f589,f3865]) ).
fof(f1198,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasasdt0(X2,X2))))
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_106 ),
inference(resolution,[],[f1146,f590]) ).
fof(f3863,plain,
( spl6_357
| ~ spl6_30
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1120,f1077,f304,f3861]) ).
fof(f1077,plain,
( spl6_103
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtlbdtrb0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_103 ),
inference(resolution,[],[f1078,f305]) ).
fof(f1078,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f3859,plain,
( spl6_356
| ~ spl6_32
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1118,f1077,f312,f3857]) ).
fof(f3857,plain,
( spl6_356
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f1118,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_103 ),
inference(resolution,[],[f1078,f313]) ).
fof(f3855,plain,
( spl6_355
| ~ spl6_31
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1117,f1077,f308,f3853]) ).
fof(f3853,plain,
( spl6_355
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_103 ),
inference(resolution,[],[f1078,f309]) ).
fof(f3851,plain,
( spl6_354
| ~ spl6_30
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1113,f1073,f304,f3849]) ).
fof(f1073,plain,
( spl6_102
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f1113,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtlbdtrb0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_102 ),
inference(resolution,[],[f1074,f305]) ).
fof(f1074,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_102 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f3847,plain,
( spl6_353
| ~ spl6_32
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1111,f1073,f312,f3845]) ).
fof(f3845,plain,
( spl6_353
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
fof(f1111,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_102 ),
inference(resolution,[],[f1074,f313]) ).
fof(f3842,plain,
( spl6_352
| ~ spl6_31
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1110,f1073,f308,f3840]) ).
fof(f3840,plain,
( spl6_352
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
fof(f1110,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_102 ),
inference(resolution,[],[f1074,f309]) ).
fof(f3838,plain,
( spl6_351
| ~ spl6_30
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1105,f1065,f304,f3836]) ).
fof(f1065,plain,
( spl6_100
<=> ! [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,[spl6_100])]) ).
fof(f1105,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_100 ),
inference(resolution,[],[f1066,f305]) ).
fof(f1066,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f3834,plain,
( spl6_350
| ~ spl6_32
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1103,f1065,f312,f3832]) ).
fof(f3832,plain,
( spl6_350
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
fof(f1103,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_100 ),
inference(resolution,[],[f1066,f313]) ).
fof(f3830,plain,
( spl6_349
| ~ spl6_31
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1102,f1065,f308,f3828]) ).
fof(f3828,plain,
( spl6_349
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_100 ),
inference(resolution,[],[f1066,f309]) ).
fof(f3826,plain,
( spl6_348
| ~ spl6_30
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1099,f1061,f304,f3824]) ).
fof(f1061,plain,
( spl6_99
<=> ! [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,[spl6_99])]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_99 ),
inference(resolution,[],[f1062,f305]) ).
fof(f1062,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_99 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f3822,plain,
( spl6_347
| ~ spl6_32
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1097,f1061,f312,f3820]) ).
fof(f3820,plain,
( spl6_347
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_99 ),
inference(resolution,[],[f1062,f313]) ).
fof(f3818,plain,
( spl6_346
| ~ spl6_31
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1096,f1061,f308,f3816]) ).
fof(f3816,plain,
( spl6_346
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_99 ),
inference(resolution,[],[f1062,f309]) ).
fof(f3814,plain,
( spl6_345
| ~ spl6_30
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1090,f1053,f304,f3812]) ).
fof(f1053,plain,
( spl6_97
<=> ! [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,[spl6_97])]) ).
fof(f1090,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_97 ),
inference(resolution,[],[f1054,f305]) ).
fof(f1054,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f3810,plain,
( spl6_344
| ~ spl6_32
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1088,f1053,f312,f3808]) ).
fof(f3808,plain,
( spl6_344
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f1088,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_97 ),
inference(resolution,[],[f1054,f313]) ).
fof(f3806,plain,
( spl6_343
| ~ spl6_31
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1087,f1053,f308,f3804]) ).
fof(f3804,plain,
( spl6_343
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f1087,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_97 ),
inference(resolution,[],[f1054,f309]) ).
fof(f3802,plain,
( spl6_260
| ~ spl6_6
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f2928,f2877,f197,f2767]) ).
fof(f2928,plain,
( sP2(sdtlbdtrb0(sK3,sz00))
| ~ spl6_6
| ~ spl6_277 ),
inference(resolution,[],[f2879,f198]) ).
fof(f2879,plain,
( aScalar0(sdtlbdtrb0(sK3,sz00))
| ~ spl6_277 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f3801,plain,
( spl6_342
| ~ spl6_30
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1084,f1044,f304,f3799]) ).
fof(f1044,plain,
( spl6_95
<=> ! [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,[spl6_95])]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtlbdtrb0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl6_30
| ~ spl6_95 ),
inference(resolution,[],[f1045,f305]) ).
fof(f1045,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_95 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f3797,plain,
( spl6_341
| ~ spl6_32
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1082,f1044,f312,f3795]) ).
fof(f3795,plain,
( spl6_341
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_32
| ~ spl6_95 ),
inference(resolution,[],[f1045,f313]) ).
fof(f3793,plain,
( spl6_340
| ~ spl6_31
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1081,f1044,f308,f3791]) ).
fof(f3791,plain,
( spl6_340
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f1081,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl6_31
| ~ spl6_95 ),
inference(resolution,[],[f1045,f309]) ).
fof(f3789,plain,
( spl6_339
| ~ spl6_29
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1042,f1035,f300,f3787]) ).
fof(f3787,plain,
( spl6_339
<=> ! [X0] :
( sK5(sK5(X0)) = szszuzczcdt0(sK5(sK5(sK5(X0))))
| sz00 = sK5(X0)
| sz00 = sK5(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f1035,plain,
( spl6_94
<=> ! [X0] :
( sz00 = sK5(X0)
| sK5(X0) = szszuzczcdt0(sK5(sK5(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f1042,plain,
( ! [X0] :
( sK5(sK5(X0)) = szszuzczcdt0(sK5(sK5(sK5(X0))))
| sz00 = sK5(X0)
| sz00 = sK5(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_29
| ~ spl6_94 ),
inference(resolution,[],[f1036,f301]) ).
fof(f1036,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sK5(X0) = szszuzczcdt0(sK5(sK5(X0)))
| sz00 = X0
| sz00 = sK5(X0) )
| ~ spl6_94 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f3785,plain,
( spl6_338
| ~ spl6_57
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f600,f589,f514,f3783]) ).
fof(f514,plain,
( spl6_57
<=> ! [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,[spl6_57])]) ).
fof(f600,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,sdtpldt0(X2,sdtasasdt0(X0,X0))) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_57
| ~ spl6_67 ),
inference(resolution,[],[f590,f515]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f3771,plain,
( ~ spl6_1
| spl6_337
| ~ spl6_34
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f3727,f459,f325,f3769,f173]) ).
fof(f3769,plain,
( spl6_337
<=> ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(sz00)
| sP0(X0,sK3)
| aNaturalNumber0(sK4(X0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
fof(f3727,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(sz00)
| aNaturalNumber0(sK4(X0,sK3))
| sP0(X0,sK3)
| ~ aVector0(sK3) )
| ~ spl6_34
| ~ spl6_49 ),
inference(superposition,[],[f460,f327]) ).
fof(f3765,plain,
( ~ spl6_1
| spl6_336
| ~ spl6_34
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f3734,f495,f325,f3763,f173]) ).
fof(f495,plain,
( spl6_55
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f3734,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,sK3)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(sK3)
| ~ aVector0(X0) )
| ~ spl6_34
| ~ spl6_55 ),
inference(trivial_inequality_removal,[],[f3728]) ).
fof(f3728,plain,
( ! [X0] :
( sz00 != sz00
| sz0z00 = sdtasasdt0(X0,sK3)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(sK3)
| ~ aVector0(X0) )
| ~ spl6_34
| ~ spl6_55 ),
inference(superposition,[],[f496,f327]) ).
fof(f496,plain,
( ! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f3758,plain,
( ~ spl6_1
| spl6_335
| ~ spl6_34
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f3726,f371,f325,f3756,f173]) ).
fof(f3756,plain,
( spl6_335
<=> ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
fof(f371,plain,
( spl6_41
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f3726,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,sK3))
| ~ aVector0(sK3)
| ~ aVector0(X0) )
| ~ spl6_34
| ~ spl6_41 ),
inference(superposition,[],[f372,f327]) ).
fof(f372,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f3752,plain,
( ~ spl6_1
| spl6_334
| ~ spl6_34
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f3725,f371,f325,f3750,f173]) ).
fof(f3750,plain,
( spl6_334
<=> ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
fof(f3725,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(sK3,X0))
| ~ aVector0(X0)
| ~ aVector0(sK3) )
| ~ spl6_34
| ~ spl6_41 ),
inference(superposition,[],[f372,f327]) ).
fof(f3743,plain,
( spl6_333
| ~ spl6_5
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f3717,f325,f193,f3741]) ).
fof(f3717,plain,
( ! [X0] :
( ~ iLess0(aDimensionOf0(X0),sz00)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl6_5
| ~ spl6_34 ),
inference(superposition,[],[f194,f327]) ).
fof(f3739,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_332
| ~ spl6_5
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f3723,f325,f193,f3736,f178,f173]) ).
fof(f3736,plain,
( spl6_332
<=> iLess0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
fof(f3723,plain,
( ~ iLess0(sz00,sz00)
| sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3))
| ~ aVector0(sK3)
| ~ spl6_5
| ~ spl6_34 ),
inference(superposition,[],[f194,f327]) ).
fof(f3702,plain,
( spl6_331
| ~ spl6_21
| ~ spl6_260 ),
inference(avatar_split_clause,[],[f2830,f2767,f262,f3699]) ).
fof(f3699,plain,
( spl6_331
<=> sdtlbdtrb0(sK3,sz00) = sdtpldt0(sz0z00,sdtlbdtrb0(sK3,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
fof(f2830,plain,
( sdtlbdtrb0(sK3,sz00) = sdtpldt0(sz0z00,sdtlbdtrb0(sK3,sz00))
| ~ spl6_21
| ~ spl6_260 ),
inference(resolution,[],[f2769,f263]) ).
fof(f3620,plain,
( spl6_330
| ~ spl6_19
| ~ spl6_260 ),
inference(avatar_split_clause,[],[f2829,f2767,f254,f3617]) ).
fof(f3617,plain,
( spl6_330
<=> sdtlbdtrb0(sK3,sz00) = sdtpldt0(sdtlbdtrb0(sK3,sz00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
fof(f254,plain,
( spl6_19
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f2829,plain,
( sdtlbdtrb0(sK3,sz00) = sdtpldt0(sdtlbdtrb0(sK3,sz00),sz0z00)
| ~ spl6_19
| ~ spl6_260 ),
inference(resolution,[],[f2769,f255]) ).
fof(f255,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 )
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f3415,plain,
( spl6_329
| ~ spl6_76
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f2484,f2075,f761,f3412]) ).
fof(f3412,plain,
( spl6_329
<=> sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(sziznziztdt0(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f2484,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(sziznziztdt0(sK3))))
| ~ spl6_76
| ~ spl6_203 ),
inference(resolution,[],[f2076,f762]) ).
fof(f762,plain,
( aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK3)))
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f3410,plain,
( spl6_328
| ~ spl6_4
| ~ spl6_123 ),
inference(avatar_split_clause,[],[f1332,f1295,f188,f3408]) ).
fof(f3408,plain,
( spl6_328
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_123 ),
inference(resolution,[],[f1296,f190]) ).
fof(f3406,plain,
( spl6_327
| ~ spl6_4
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1326,f1291,f188,f3404]) ).
fof(f3404,plain,
( spl6_327
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_122 ),
inference(resolution,[],[f1292,f190]) ).
fof(f3402,plain,
( spl6_326
| ~ spl6_4
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1317,f1283,f188,f3400]) ).
fof(f3400,plain,
( spl6_326
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
fof(f1317,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_120 ),
inference(resolution,[],[f1284,f190]) ).
fof(f3398,plain,
( spl6_325
| ~ spl6_4
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1311,f1279,f188,f3396]) ).
fof(f3396,plain,
( spl6_325
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f1311,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl6_4
| ~ spl6_119 ),
inference(resolution,[],[f1280,f190]) ).
fof(f3394,plain,
( spl6_324
| ~ spl6_11
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1252,f1186,f219,f3392]) ).
fof(f3392,plain,
( spl6_324
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
fof(f1252,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_116 ),
inference(resolution,[],[f1187,f220]) ).
fof(f3390,plain,
( spl6_323
| ~ spl6_11
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1241,f1182,f219,f3388]) ).
fof(f3388,plain,
( spl6_323
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
fof(f1241,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_115 ),
inference(resolution,[],[f1183,f220]) ).
fof(f3386,plain,
( spl6_322
| ~ spl6_25
| ~ spl6_114 ),
inference(avatar_split_clause,[],[f1236,f1178,f284,f3384]) ).
fof(f3384,plain,
( spl6_322
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| smndt0(sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X2),X1))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(sziznziztdt0(X2),X1))
| ~ sP1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
fof(f1178,plain,
( spl6_114
<=> ! [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,[spl6_114])]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| smndt0(sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X2),X1))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(sziznziztdt0(X2),X1))
| ~ sP1(X2) )
| ~ spl6_25
| ~ spl6_114 ),
inference(resolution,[],[f1179,f285]) ).
fof(f1179,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2)) )
| ~ spl6_114 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f3382,plain,
( spl6_321
| ~ spl6_11
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1232,f1174,f219,f3380]) ).
fof(f3380,plain,
( spl6_321
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
fof(f1232,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_113 ),
inference(resolution,[],[f1175,f220]) ).
fof(f3378,plain,
( spl6_320
| ~ spl6_11
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f1226,f1170,f219,f3376]) ).
fof(f3376,plain,
( spl6_320
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,smndt0(X2)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,smndt0(X2)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_112 ),
inference(resolution,[],[f1171,f220]) ).
fof(f3374,plain,
( spl6_319
| ~ spl6_25
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f1221,f1166,f284,f3372]) ).
fof(f3372,plain,
( spl6_319
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sziznziztdt0(X2),X1))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X2),X1)))
| ~ sP1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f1166,plain,
( spl6_111
<=> ! [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,[spl6_111])]) ).
fof(f1221,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sziznziztdt0(X2),X1))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X2),X1)))
| ~ sP1(X2) )
| ~ spl6_25
| ~ spl6_111 ),
inference(resolution,[],[f1167,f285]) ).
fof(f1167,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) )
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f3370,plain,
( spl6_318
| ~ spl6_76
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2140,f2030,f761,f3367]) ).
fof(f3367,plain,
( spl6_318
<=> sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sziznziztdt0(sK3))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f2140,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sziznziztdt0(sK3))),sz0z00)
| ~ spl6_76
| ~ spl6_197 ),
inference(resolution,[],[f2031,f762]) ).
fof(f3365,plain,
( spl6_317
| ~ spl6_11
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1217,f1162,f219,f3363]) ).
fof(f3363,plain,
( spl6_317
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,smndt0(X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
fof(f1217,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,smndt0(X2)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_110 ),
inference(resolution,[],[f1163,f220]) ).
fof(f3361,plain,
( spl6_316
| ~ spl6_11
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1211,f1158,f219,f3359]) ).
fof(f3359,plain,
( spl6_316
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,smndt0(X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
fof(f1211,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,smndt0(X2)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_109 ),
inference(resolution,[],[f1159,f220]) ).
fof(f3357,plain,
( spl6_315
| ~ spl6_25
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1206,f1154,f284,f3355]) ).
fof(f3355,plain,
( spl6_315
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X2),X1)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sziznziztdt0(X2),X1)))
| ~ sP1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
fof(f1154,plain,
( spl6_108
<=> ! [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,[spl6_108])]) ).
fof(f1206,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X2),X1)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sziznziztdt0(X2),X1)))
| ~ sP1(X2) )
| ~ spl6_25
| ~ spl6_108 ),
inference(resolution,[],[f1155,f285]) ).
fof(f1155,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2))) )
| ~ spl6_108 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f3353,plain,
( spl6_314
| ~ spl6_11
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1202,f1150,f219,f3351]) ).
fof(f3351,plain,
( spl6_314
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
fof(f1202,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_107 ),
inference(resolution,[],[f1151,f220]) ).
fof(f3349,plain,
( spl6_313
| ~ spl6_11
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1196,f1145,f219,f3347]) ).
fof(f3347,plain,
( spl6_313
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f1196,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,smndt0(X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_106 ),
inference(resolution,[],[f1146,f220]) ).
fof(f3345,plain,
( spl6_312
| ~ spl6_91
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f1143,f1133,f974,f3343]) ).
fof(f3343,plain,
( spl6_312
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f1143,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X0)) )
| ~ spl6_91
| ~ spl6_105 ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X1)
| sdtlseqdt0(X2,sdtasdt0(X0,X0)) )
| ~ spl6_91
| ~ spl6_105 ),
inference(resolution,[],[f1134,f975]) ).
fof(f3341,plain,
( spl6_311
| ~ spl6_52
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f1142,f1133,f472,f3339]) ).
fof(f3339,plain,
( spl6_311
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X2,sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f1142,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X2,sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X2) )
| ~ spl6_52
| ~ spl6_105 ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1137,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X2,sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_52
| ~ spl6_105 ),
inference(resolution,[],[f1134,f473]) ).
fof(f3337,plain,
( spl6_310
| ~ spl6_45
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f1141,f1133,f387,f3335]) ).
fof(f3335,plain,
( spl6_310
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtasdt0(X0,X0) = X1
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f1141,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtasdt0(X0,X0) = X1
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) )
| ~ spl6_45
| ~ spl6_105 ),
inference(duplicate_literal_removal,[],[f1138]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(X1,sz0z00)
| sdtasdt0(X0,X0) = X1
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X0,X0)) )
| ~ spl6_45
| ~ spl6_105 ),
inference(resolution,[],[f1134,f388]) ).
fof(f3333,plain,
( spl6_309
| ~ spl6_67
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1121,f1077,f589,f3331]) ).
fof(f1121,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasasdt0(X1,X1),sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_103 ),
inference(resolution,[],[f1078,f590]) ).
fof(f3329,plain,
( spl6_308
| ~ spl6_67
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1114,f1073,f589,f3327]) ).
fof(f1114,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasasdt0(X1,X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(X1,X1)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_102 ),
inference(resolution,[],[f1074,f590]) ).
fof(f3311,plain,
( spl6_307
| ~ spl6_67
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1106,f1065,f589,f3309]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_100 ),
inference(resolution,[],[f1066,f590]) ).
fof(f3307,plain,
( spl6_306
| ~ spl6_67
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1100,f1061,f589,f3305]) ).
fof(f1100,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtasdt0(sdtpldt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_99 ),
inference(resolution,[],[f1062,f590]) ).
fof(f3303,plain,
( spl6_305
| ~ spl6_67
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1091,f1053,f589,f3301]) ).
fof(f1091,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_97 ),
inference(resolution,[],[f1054,f590]) ).
fof(f3299,plain,
( spl6_304
| ~ spl6_67
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1085,f1044,f589,f3297]) ).
fof(f1085,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtpldt0(X1,sdtasasdt0(X2,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aVector0(X2) )
| ~ spl6_67
| ~ spl6_95 ),
inference(resolution,[],[f1045,f590]) ).
fof(f3295,plain,
( spl6_303
| ~ spl6_30
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1031,f983,f304,f3293]) ).
fof(f983,plain,
( spl6_93
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f1031,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtlbdtrb0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_93 ),
inference(resolution,[],[f984,f305]) ).
fof(f984,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f3291,plain,
( spl6_302
| ~ spl6_32
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1029,f983,f312,f3289]) ).
fof(f3289,plain,
( spl6_302
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f1029,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_93 ),
inference(resolution,[],[f984,f313]) ).
fof(f3287,plain,
( spl6_301
| ~ spl6_31
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1028,f983,f308,f3285]) ).
fof(f3285,plain,
( spl6_301
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
fof(f1028,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_93 ),
inference(resolution,[],[f984,f309]) ).
fof(f3283,plain,
( spl6_300
| ~ spl6_30
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1024,f978,f304,f3281]) ).
fof(f978,plain,
( spl6_92
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f1024,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtlbdtrb0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtlbdtrb0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_92 ),
inference(resolution,[],[f979,f305]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_92 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f3279,plain,
( spl6_299
| ~ spl6_32
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1022,f978,f312,f3277]) ).
fof(f3277,plain,
( spl6_299
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_92 ),
inference(resolution,[],[f979,f313]) ).
fof(f3275,plain,
( spl6_298
| ~ spl6_31
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1021,f978,f308,f3273]) ).
fof(f3273,plain,
( spl6_298
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_92 ),
inference(resolution,[],[f979,f309]) ).
fof(f3257,plain,
( spl6_297
| ~ spl6_30
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1006,f970,f304,f3255]) ).
fof(f970,plain,
( spl6_90
<=> ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
fof(f1006,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_90 ),
inference(resolution,[],[f971,f305]) ).
fof(f971,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1))) )
| ~ spl6_90 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f3253,plain,
( spl6_296
| ~ spl6_32
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1004,f970,f312,f3251]) ).
fof(f3251,plain,
( spl6_296
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_90 ),
inference(resolution,[],[f971,f313]) ).
fof(f3249,plain,
( spl6_295
| ~ spl6_31
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1003,f970,f308,f3247]) ).
fof(f3247,plain,
( spl6_295
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_90 ),
inference(resolution,[],[f971,f309]) ).
fof(f3245,plain,
( spl6_294
| ~ spl6_30
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f998,f966,f304,f3243]) ).
fof(f966,plain,
( spl6_89
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtlbdtrb0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_89 ),
inference(resolution,[],[f967,f305]) ).
fof(f967,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1))) )
| ~ spl6_89 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f3241,plain,
( spl6_293
| ~ spl6_32
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f996,f966,f312,f3239]) ).
fof(f3239,plain,
( spl6_293
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasdt0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f996,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasdt0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_89 ),
inference(resolution,[],[f967,f313]) ).
fof(f3237,plain,
( spl6_292
| ~ spl6_31
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f995,f966,f308,f3235]) ).
fof(f3235,plain,
( spl6_292
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f995,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(X1,X2)))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_89 ),
inference(resolution,[],[f967,f309]) ).
fof(f3233,plain,
( spl6_291
| ~ spl6_30
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f990,f962,f304,f3231]) ).
fof(f962,plain,
( spl6_88
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtlbdtrb0(X1,X2))))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_88 ),
inference(resolution,[],[f963,f305]) ).
fof(f963,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1))) )
| ~ spl6_88 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f3229,plain,
( spl6_290
| ~ spl6_32
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f988,f962,f312,f3227]) ).
fof(f3227,plain,
( spl6_290
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_88 ),
inference(resolution,[],[f963,f313]) ).
fof(f3225,plain,
( spl6_289
| ~ spl6_31
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f987,f962,f308,f3223]) ).
fof(f3223,plain,
( spl6_289
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f987,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_88 ),
inference(resolution,[],[f963,f309]) ).
fof(f3221,plain,
( spl6_288
| ~ spl6_54
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f599,f589,f491,f3219]) ).
fof(f491,plain,
( spl6_54
<=> ! [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,[spl6_54])]) ).
fof(f599,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(sdtasdt0(X1,X2),sdtasasdt0(X0,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_54
| ~ spl6_67 ),
inference(resolution,[],[f590,f492]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f3217,plain,
( spl6_287
| ~ spl6_74
| ~ spl6_212
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f3051,f2877,f2183,f677,f3214]) ).
fof(f3214,plain,
( spl6_287
<=> sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(sK3,sz00)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f677,plain,
( spl6_74
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f2183,plain,
( spl6_212
<=> sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,sz00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f3051,plain,
( sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(sK3,sz00)),sz0z00)
| ~ spl6_74
| ~ spl6_212
| ~ spl6_277 ),
inference(forward_demodulation,[],[f2941,f2185]) ).
fof(f2185,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,sz00),sz0z00)
| ~ spl6_212 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2941,plain,
( sdtasdt0(sdtlbdtrb0(sK3,sz00),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(sK3,sz00)),sz0z00)
| ~ spl6_74
| ~ spl6_277 ),
inference(resolution,[],[f2879,f678]) ).
fof(f678,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f3212,plain,
( spl6_286
| ~ spl6_53
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f598,f589,f487,f3210]) ).
fof(f487,plain,
( spl6_53
<=> ! [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,[spl6_53])]) ).
fof(f598,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X0)
| sdtpldt0(sdtpldt0(X1,X2),sdtasasdt0(X0,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtasasdt0(X0,X0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_53
| ~ spl6_67 ),
inference(resolution,[],[f590,f488]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f3196,plain,
( spl6_285
| ~ spl6_8
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1040,f1035,f207,f3194]) ).
fof(f3194,plain,
( spl6_285
<=> ! [X0] :
( sK5(aDimensionOf0(X0)) = szszuzczcdt0(sK5(sK5(aDimensionOf0(X0))))
| sz00 = aDimensionOf0(X0)
| sz00 = sK5(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f1040,plain,
( ! [X0] :
( sK5(aDimensionOf0(X0)) = szszuzczcdt0(sK5(sK5(aDimensionOf0(X0))))
| sz00 = aDimensionOf0(X0)
| sz00 = sK5(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl6_8
| ~ spl6_94 ),
inference(resolution,[],[f1036,f208]) ).
fof(f3192,plain,
( spl6_284
| ~ spl6_10
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1039,f1035,f215,f3190]) ).
fof(f3190,plain,
( spl6_284
<=> ! [X0] :
( sK5(szszuzczcdt0(X0)) = szszuzczcdt0(sK5(sK5(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(X0)
| sz00 = sK5(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f1039,plain,
( ! [X0] :
( sK5(szszuzczcdt0(X0)) = szszuzczcdt0(sK5(sK5(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(X0)
| sz00 = sK5(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_94 ),
inference(resolution,[],[f1036,f216]) ).
fof(f3149,plain,
( spl6_283
| ~ spl6_165
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f2989,f2877,f1754,f3146]) ).
fof(f3146,plain,
( spl6_283
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f2989,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(sK3,sz00)))
| ~ spl6_165
| ~ spl6_277 ),
inference(resolution,[],[f2879,f1755]) ).
fof(f2900,plain,
( spl6_282
| ~ spl6_11
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1119,f1077,f219,f2898]) ).
fof(f2898,plain,
( spl6_282
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f1119,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_103 ),
inference(resolution,[],[f1078,f220]) ).
fof(f2896,plain,
( spl6_281
| ~ spl6_11
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1112,f1073,f219,f2894]) ).
fof(f2894,plain,
( spl6_281
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f1112,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_102 ),
inference(resolution,[],[f1074,f220]) ).
fof(f2892,plain,
( spl6_280
| ~ spl6_25
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1108,f1069,f284,f2890]) ).
fof(f2890,plain,
( spl6_280
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X1),X2)) = sdtasdt0(sdtlbdtrb0(sziznziztdt0(X1),X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f1069,plain,
( spl6_101
<=> ! [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,[spl6_101])]) ).
fof(f1108,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(sziznziztdt0(X1),X2)) = sdtasdt0(sdtlbdtrb0(sziznziztdt0(X1),X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0)
| ~ sP1(X1) )
| ~ spl6_25
| ~ spl6_101 ),
inference(resolution,[],[f1070,f285]) ).
fof(f1070,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_101 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f2888,plain,
( spl6_279
| ~ spl6_11
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1104,f1065,f219,f2886]) ).
fof(f2886,plain,
( spl6_279
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f1104,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_100 ),
inference(resolution,[],[f1066,f220]) ).
fof(f2884,plain,
( spl6_278
| ~ spl6_11
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1098,f1061,f219,f2882]) ).
fof(f2882,plain,
( spl6_278
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_99 ),
inference(resolution,[],[f1062,f220]) ).
fof(f2880,plain,
( ~ spl6_96
| ~ spl6_3
| spl6_277
| ~ spl6_30
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f1931,f1878,f304,f2877,f183,f1048]) ).
fof(f1878,plain,
( spl6_181
<=> sdtlbdtrb0(sK3,sz00) = sdtlbdtrb0(sziznziztdt0(sK3),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f1931,plain,
( aScalar0(sdtlbdtrb0(sK3,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(sziznziztdt0(sK3))
| ~ spl6_30
| ~ spl6_181 ),
inference(superposition,[],[f305,f1880]) ).
fof(f1880,plain,
( sdtlbdtrb0(sK3,sz00) = sdtlbdtrb0(sziznziztdt0(sK3),sz00)
| ~ spl6_181 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f2875,plain,
( spl6_276
| ~ spl6_25
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1093,f1057,f284,f2873]) ).
fof(f2873,plain,
( spl6_276
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X1),X2)) = sdtpldt0(sdtlbdtrb0(sziznziztdt0(X1),X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f1057,plain,
( spl6_98
<=> ! [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,[spl6_98])]) ).
fof(f1093,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtlbdtrb0(sziznziztdt0(X1),X2)) = sdtpldt0(sdtlbdtrb0(sziznziztdt0(X1),X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0)
| ~ sP1(X1) )
| ~ spl6_25
| ~ spl6_98 ),
inference(resolution,[],[f1058,f285]) ).
fof(f1058,plain,
( ! [X2,X0,X1] :
( ~ aVector0(X1)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X0) )
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f2871,plain,
( spl6_275
| ~ spl6_11
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1089,f1053,f219,f2869]) ).
fof(f2869,plain,
( spl6_275
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f1089,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_97 ),
inference(resolution,[],[f1054,f220]) ).
fof(f2867,plain,
( spl6_274
| ~ spl6_11
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1083,f1044,f219,f2865]) ).
fof(f2865,plain,
( spl6_274
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f1083,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_95 ),
inference(resolution,[],[f1045,f220]) ).
fof(f2863,plain,
( spl6_273
| ~ spl6_67
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1032,f983,f589,f2861]) ).
fof(f1032,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasasdt0(X1,X1),sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_93 ),
inference(resolution,[],[f984,f590]) ).
fof(f2859,plain,
( spl6_272
| ~ spl6_67
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1025,f978,f589,f2857]) ).
fof(f1025,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasasdt0(X1,X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasasdt0(X1,X1),sz0z00))
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_92 ),
inference(resolution,[],[f979,f590]) ).
fof(f2855,plain,
( spl6_271
| ~ spl6_67
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1007,f970,f589,f2853]) ).
fof(f1007,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_90 ),
inference(resolution,[],[f971,f590]) ).
fof(f2851,plain,
( spl6_270
| ~ spl6_67
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f999,f966,f589,f2849]) ).
fof(f999,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasasdt0(X1,X1)))) = smndt0(sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_89 ),
inference(resolution,[],[f967,f590]) ).
fof(f2847,plain,
( spl6_269
| ~ spl6_67
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f991,f962,f589,f2845]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasasdt0(X1,X1))))
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_88 ),
inference(resolution,[],[f963,f590]) ).
fof(f2843,plain,
( spl6_268
| ~ spl6_30
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f958,f937,f304,f2841]) ).
fof(f937,plain,
( spl6_87
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(sdtlbdtrb0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_87 ),
inference(resolution,[],[f938,f305]) ).
fof(f938,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f2839,plain,
( spl6_267
| ~ spl6_32
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f956,f937,f312,f2837]) ).
fof(f2837,plain,
( spl6_267
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f956,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_87 ),
inference(resolution,[],[f938,f313]) ).
fof(f2828,plain,
( spl6_266
| ~ spl6_31
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f955,f937,f308,f2826]) ).
fof(f2826,plain,
( spl6_266
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f955,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_87 ),
inference(resolution,[],[f938,f309]) ).
fof(f2824,plain,
( spl6_265
| ~ spl6_30
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f951,f932,f304,f2822]) ).
fof(f932,plain,
( spl6_86
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = sdtpldt0(smndt0(sdtlbdtrb0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_86 ),
inference(resolution,[],[f933,f305]) ).
fof(f933,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl6_86 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f2820,plain,
( spl6_264
| ~ spl6_32
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f949,f932,f312,f2818]) ).
fof(f2818,plain,
( spl6_264
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f949,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_86 ),
inference(resolution,[],[f933,f313]) ).
fof(f2816,plain,
( spl6_263
| ~ spl6_31
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f948,f932,f308,f2814]) ).
fof(f2814,plain,
( spl6_263
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f948,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_86 ),
inference(resolution,[],[f933,f309]) ).
fof(f2812,plain,
( spl6_262
| ~ spl6_29
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f944,f924,f300,f2810]) ).
fof(f2810,plain,
( spl6_262
<=> ! [X0] :
( szszuzczcdt0(sK5(X0)) = szszuzczcdt0(sK5(szszuzczcdt0(sK5(X0))))
| sz00 = szszuzczcdt0(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f924,plain,
( spl6_84
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK5(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f944,plain,
( ! [X0] :
( szszuzczcdt0(sK5(X0)) = szszuzczcdt0(sK5(szszuzczcdt0(sK5(X0))))
| sz00 = szszuzczcdt0(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_29
| ~ spl6_84 ),
inference(resolution,[],[f925,f301]) ).
fof(f925,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK5(szszuzczcdt0(X0)))
| sz00 = szszuzczcdt0(X0) )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f2796,plain,
( ~ spl6_4
| spl6_261
| ~ spl6_18
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1012,f974,f250,f2794,f188]) ).
fof(f2794,plain,
( spl6_261
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f1012,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ aScalar0(X1) )
| ~ spl6_18
| ~ spl6_91 ),
inference(resolution,[],[f975,f251]) ).
fof(f2770,plain,
( ~ spl6_3
| ~ spl6_96
| spl6_260
| ~ spl6_68
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f1930,f1878,f604,f2767,f1048,f183]) ).
fof(f1930,plain,
( sP2(sdtlbdtrb0(sK3,sz00))
| ~ aVector0(sziznziztdt0(sK3))
| ~ aNaturalNumber0(sz00)
| ~ spl6_68
| ~ spl6_181 ),
inference(superposition,[],[f605,f1880]) ).
fof(f2655,plain,
( spl6_259
| ~ spl6_4
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1229,f1174,f188,f2653]) ).
fof(f2653,plain,
( spl6_259
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sz0z00))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f1229,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sz0z00))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_113 ),
inference(resolution,[],[f1175,f190]) ).
fof(f2651,plain,
( spl6_258
| ~ spl6_4
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f1223,f1170,f188,f2649]) ).
fof(f2649,plain,
( spl6_258
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sz0z00))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f1223,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sz0z00))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_112 ),
inference(resolution,[],[f1171,f190]) ).
fof(f2647,plain,
( spl6_257
| ~ spl6_4
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1214,f1162,f188,f2645]) ).
fof(f2645,plain,
( spl6_257
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sz0z00))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f1214,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sz0z00))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_110 ),
inference(resolution,[],[f1163,f190]) ).
fof(f2643,plain,
( spl6_256
| ~ spl6_4
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1208,f1158,f188,f2641]) ).
fof(f2641,plain,
( spl6_256
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sz0z00))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sz0z00)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f1208,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sz0z00))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sz0z00)))
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_109 ),
inference(resolution,[],[f1159,f190]) ).
fof(f2639,plain,
( spl6_255
| ~ spl6_77
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f2483,f2075,f765,f2636]) ).
fof(f2483,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,aDimensionOf0(sK3)))
| ~ spl6_77
| ~ spl6_203 ),
inference(resolution,[],[f2076,f767]) ).
fof(f2634,plain,
( spl6_254
| ~ spl6_4
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1199,f1150,f188,f2632]) ).
fof(f2632,plain,
( spl6_254
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz0z00)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f1199,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz0z00)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_107 ),
inference(resolution,[],[f1151,f190]) ).
fof(f2630,plain,
( spl6_253
| ~ spl6_4
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f1193,f1145,f188,f2628]) ).
fof(f2628,plain,
( spl6_253
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sz0z00)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f1193,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sz0z00)))
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_106 ),
inference(resolution,[],[f1146,f190]) ).
fof(f2626,plain,
( spl6_252
| ~ spl6_11
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1030,f983,f219,f2624]) ).
fof(f2624,plain,
( spl6_252
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_93 ),
inference(resolution,[],[f984,f220]) ).
fof(f2622,plain,
( spl6_251
| ~ spl6_11
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1023,f978,f219,f2620]) ).
fof(f2620,plain,
( spl6_251
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f1023,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_92 ),
inference(resolution,[],[f979,f220]) ).
fof(f2618,plain,
( spl6_250
| ~ spl6_11
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1005,f970,f219,f2616]) ).
fof(f2616,plain,
( spl6_250
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(smndt0(X1))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f1005,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(smndt0(X1))))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_90 ),
inference(resolution,[],[f971,f220]) ).
fof(f2614,plain,
( spl6_249
| ~ spl6_11
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f997,f966,f219,f2612]) ).
fof(f2612,plain,
( spl6_249
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(smndt0(X1)))) = smndt0(sdtasdt0(X0,smndt0(smndt0(X1))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f997,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(smndt0(X1)))) = smndt0(sdtasdt0(X0,smndt0(smndt0(X1))))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_89 ),
inference(resolution,[],[f967,f220]) ).
fof(f2610,plain,
( spl6_248
| ~ spl6_11
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f989,f962,f219,f2608]) ).
fof(f2608,plain,
( spl6_248
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(smndt0(X1))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f989,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(X0),smndt0(smndt0(smndt0(X1))))
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_88 ),
inference(resolution,[],[f963,f220]) ).
fof(f2606,plain,
( spl6_247
| ~ spl6_67
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f959,f937,f589,f2604]) ).
fof(f959,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(sdtasasdt0(X1,X1)),X0)
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_87 ),
inference(resolution,[],[f938,f590]) ).
fof(f2602,plain,
( spl6_246
| ~ spl6_67
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f952,f932,f589,f2600]) ).
fof(f952,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(sdtasasdt0(X1,X1))) = sdtpldt0(smndt0(sdtasasdt0(X1,X1)),X0)
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl6_67
| ~ spl6_86 ),
inference(resolution,[],[f933,f590]) ).
fof(f2598,plain,
( spl6_245
| ~ spl6_30
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f913,f902,f304,f2596]) ).
fof(f902,plain,
( spl6_81
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f913,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl6_30
| ~ spl6_81 ),
inference(resolution,[],[f903,f305]) ).
fof(f903,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00)) )
| ~ spl6_81 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f2580,plain,
( spl6_244
| ~ spl6_32
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f911,f902,f312,f2578]) ).
fof(f2578,plain,
( spl6_244
<=> ! [X0,X1] :
( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtasdt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f911,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtasdt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_32
| ~ spl6_81 ),
inference(resolution,[],[f903,f313]) ).
fof(f2576,plain,
( spl6_243
| ~ spl6_31
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f910,f902,f308,f2574]) ).
fof(f2574,plain,
( spl6_243
<=> ! [X0,X1] :
( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_31
| ~ spl6_81 ),
inference(resolution,[],[f903,f309]) ).
fof(f2572,plain,
( spl6_242
| ~ spl6_44
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f595,f589,f383,f2570]) ).
fof(f383,plain,
( spl6_44
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f595,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| smndt0(sdtasdt0(X1,sdtasasdt0(X0,X0))) = sdtasdt0(smndt0(X1),sdtasasdt0(X0,X0))
| ~ aScalar0(X1) )
| ~ spl6_44
| ~ spl6_67 ),
inference(resolution,[],[f590,f384]) ).
fof(f384,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f2568,plain,
( spl6_241
| ~ spl6_43
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f594,f589,f379,f2566]) ).
fof(f379,plain,
( spl6_43
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,smndt0(sdtasasdt0(X0,X0))) = smndt0(sdtasdt0(X1,sdtasasdt0(X0,X0)))
| ~ aScalar0(X1) )
| ~ spl6_43
| ~ spl6_67 ),
inference(resolution,[],[f590,f380]) ).
fof(f380,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f2564,plain,
( spl6_240
| ~ spl6_42
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f593,f589,f375,f2562]) ).
fof(f375,plain,
( spl6_42
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| sdtasdt0(X1,sdtasasdt0(X0,X0)) = sdtasdt0(smndt0(X1),smndt0(sdtasasdt0(X0,X0)))
| ~ aScalar0(X1) )
| ~ spl6_42
| ~ spl6_67 ),
inference(resolution,[],[f590,f376]) ).
fof(f376,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f2535,plain,
( spl6_239
| ~ spl6_3
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f2480,f2075,f183,f2532]) ).
fof(f2532,plain,
( spl6_239
<=> sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f2480,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,sz00))
| ~ spl6_3
| ~ spl6_203 ),
inference(resolution,[],[f2076,f185]) ).
fof(f2509,plain,
( spl6_238
| ~ spl6_25
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f946,f928,f284,f2507]) ).
fof(f2507,plain,
( spl6_238
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = szszuzczcdt0(sK5(aDimensionOf0(sziznziztdt0(X0))))
| sz00 = aDimensionOf0(sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f928,plain,
( spl6_85
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK5(aDimensionOf0(X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f946,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = szszuzczcdt0(sK5(aDimensionOf0(sziznziztdt0(X0))))
| sz00 = aDimensionOf0(sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl6_25
| ~ spl6_85 ),
inference(resolution,[],[f929,f285]) ).
fof(f929,plain,
( ! [X0] :
( ~ aVector0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK5(aDimensionOf0(X0)))
| sz00 = aDimensionOf0(X0) )
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f2505,plain,
( spl6_237
| ~ spl6_8
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f942,f924,f207,f2503]) ).
fof(f2503,plain,
( spl6_237
<=> ! [X0] :
( szszuzczcdt0(aDimensionOf0(X0)) = szszuzczcdt0(sK5(szszuzczcdt0(aDimensionOf0(X0))))
| sz00 = szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f942,plain,
( ! [X0] :
( szszuzczcdt0(aDimensionOf0(X0)) = szszuzczcdt0(sK5(szszuzczcdt0(aDimensionOf0(X0))))
| sz00 = szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl6_8
| ~ spl6_84 ),
inference(resolution,[],[f925,f208]) ).
fof(f2501,plain,
( spl6_236
| ~ spl6_10
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f941,f924,f215,f2499]) ).
fof(f2499,plain,
( spl6_236
<=> ! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK5(szszuzczcdt0(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f941,plain,
( ! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK5(szszuzczcdt0(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_84 ),
inference(resolution,[],[f925,f216]) ).
fof(f2497,plain,
( spl6_235
| ~ spl6_30
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f887,f874,f304,f2495]) ).
fof(f874,plain,
( spl6_78
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f887,plain,
( ! [X0,X1] :
( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl6_30
| ~ spl6_78 ),
inference(resolution,[],[f875,f305]) ).
fof(f875,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00)) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f2493,plain,
( spl6_234
| ~ spl6_32
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f885,f874,f312,f2491]) ).
fof(f2491,plain,
( spl6_234
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtasdt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f885,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtasdt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_32
| ~ spl6_78 ),
inference(resolution,[],[f875,f313]) ).
fof(f2489,plain,
( spl6_233
| ~ spl6_31
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f884,f874,f308,f2487]) ).
fof(f2487,plain,
( spl6_233
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtpldt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f884,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = smndt0(sdtasdt0(sdtpldt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_31
| ~ spl6_78 ),
inference(resolution,[],[f875,f309]) ).
fof(f2479,plain,
( spl6_232
| ~ spl6_30
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f881,f677,f304,f2477]) ).
fof(f881,plain,
( ! [X0,X1] :
( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl6_30
| ~ spl6_74 ),
inference(resolution,[],[f678,f305]) ).
fof(f2475,plain,
( spl6_231
| ~ spl6_32
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f879,f677,f312,f2473]) ).
fof(f2473,plain,
( spl6_231
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f879,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_32
| ~ spl6_74 ),
inference(resolution,[],[f678,f313]) ).
fof(f2471,plain,
( spl6_230
| ~ spl6_31
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f878,f677,f308,f2469]) ).
fof(f2469,plain,
( spl6_230
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f878,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_31
| ~ spl6_74 ),
inference(resolution,[],[f678,f309]) ).
fof(f2297,plain,
( spl6_229
| ~ spl6_4
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1101,f1065,f188,f2295]) ).
fof(f2295,plain,
( spl6_229
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sz0z00)) = sdtasdt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f1101,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sz0z00)) = sdtasdt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_100 ),
inference(resolution,[],[f1066,f190]) ).
fof(f2293,plain,
( spl6_228
| ~ spl6_77
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2139,f2030,f765,f2290]) ).
fof(f2139,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sz0z00)
| ~ spl6_77
| ~ spl6_197 ),
inference(resolution,[],[f2031,f767]) ).
fof(f2288,plain,
( spl6_227
| ~ spl6_4
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1095,f1061,f188,f2286]) ).
fof(f2286,plain,
( spl6_227
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtasdt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtasdt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_99 ),
inference(resolution,[],[f1062,f190]) ).
fof(f2284,plain,
( spl6_226
| ~ spl6_4
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1086,f1053,f188,f2282]) ).
fof(f2282,plain,
( spl6_226
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f1086,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_97 ),
inference(resolution,[],[f1054,f190]) ).
fof(f2280,plain,
( spl6_225
| ~ spl6_4
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1080,f1044,f188,f2278]) ).
fof(f2278,plain,
( spl6_225
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_4
| ~ spl6_95 ),
inference(resolution,[],[f1045,f190]) ).
fof(f2276,plain,
( spl6_224
| ~ spl6_38
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1018,f974,f348,f2274]) ).
fof(f2274,plain,
( spl6_224
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f348,plain,
( spl6_38
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X0) )
| ~ spl6_38
| ~ spl6_91 ),
inference(duplicate_literal_removal,[],[f1010]) ).
fof(f1010,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl6_38
| ~ spl6_91 ),
inference(resolution,[],[f975,f349]) ).
fof(f349,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f2272,plain,
( spl6_223
| ~ spl6_11
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f957,f937,f219,f2270]) ).
fof(f2270,plain,
( spl6_223
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f957,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_87 ),
inference(resolution,[],[f938,f220]) ).
fof(f2268,plain,
( spl6_222
| ~ spl6_11
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f950,f932,f219,f2266]) ).
fof(f2266,plain,
( spl6_222
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f950,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_86 ),
inference(resolution,[],[f933,f220]) ).
fof(f2264,plain,
( spl6_221
| ~ spl6_67
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f914,f902,f589,f2262]) ).
fof(f2262,plain,
( spl6_221
<=> ! [X0] :
( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),sz0z00))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f914,plain,
( ! [X0] :
( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),sz0z00))
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_81 ),
inference(resolution,[],[f903,f590]) ).
fof(f2260,plain,
( spl6_220
| ~ spl6_30
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f674,f660,f304,f2258]) ).
fof(f2258,plain,
( spl6_220
<=> ! [X0,X1] :
( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f660,plain,
( spl6_73
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f674,plain,
( ! [X0,X1] :
( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl6_30
| ~ spl6_73 ),
inference(resolution,[],[f661,f305]) ).
fof(f661,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f2256,plain,
( spl6_219
| ~ spl6_32
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f672,f660,f312,f2254]) ).
fof(f2254,plain,
( spl6_219
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f672,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_32
| ~ spl6_73 ),
inference(resolution,[],[f661,f313]) ).
fof(f2252,plain,
( spl6_218
| ~ spl6_31
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f671,f660,f308,f2250]) ).
fof(f2250,plain,
( spl6_218
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f671,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_31
| ~ spl6_73 ),
inference(resolution,[],[f661,f309]) ).
fof(f2234,plain,
( spl6_217
| ~ spl6_30
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f668,f656,f304,f2232]) ).
fof(f2232,plain,
( spl6_217
<=> ! [X0,X1] :
( sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f656,plain,
( spl6_72
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f668,plain,
( ! [X0,X1] :
( sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl6_30
| ~ spl6_72 ),
inference(resolution,[],[f657,f305]) ).
fof(f657,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f2230,plain,
( spl6_216
| ~ spl6_32
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f666,f656,f312,f2228]) ).
fof(f2228,plain,
( spl6_216
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f666,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_32
| ~ spl6_72 ),
inference(resolution,[],[f657,f313]) ).
fof(f2226,plain,
( spl6_215
| ~ spl6_31
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f665,f656,f308,f2224]) ).
fof(f2224,plain,
( spl6_215
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f665,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_31
| ~ spl6_72 ),
inference(resolution,[],[f657,f309]) ).
fof(f2222,plain,
( spl6_214
| ~ spl6_48
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f597,f589,f424,f2220]) ).
fof(f424,plain,
( spl6_48
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f597,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtasasdt0(X0,X0)) = sdtasdt0(sdtasasdt0(X0,X0),X1) )
| ~ spl6_48
| ~ spl6_67 ),
inference(resolution,[],[f590,f425]) ).
fof(f425,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f2218,plain,
( spl6_213
| ~ spl6_47
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f596,f589,f394,f2216]) ).
fof(f394,plain,
( spl6_47
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,sdtasasdt0(X0,X0)) = sdtpldt0(sdtasasdt0(X0,X0),X1) )
| ~ spl6_47
| ~ spl6_67 ),
inference(resolution,[],[f590,f395]) ).
fof(f395,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f2186,plain,
( spl6_212
| ~ spl6_3
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2136,f2030,f183,f2183]) ).
fof(f2136,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,sz00),sz0z00)
| ~ spl6_3
| ~ spl6_197 ),
inference(resolution,[],[f2031,f185]) ).
fof(f2169,plain,
( spl6_211
| ~ spl6_67
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f888,f874,f589,f2167]) ).
fof(f888,plain,
( ! [X0] :
( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),sz0z00))
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_78 ),
inference(resolution,[],[f875,f590]) ).
fof(f2165,plain,
( spl6_210
| ~ spl6_67
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f882,f677,f589,f2163]) ).
fof(f882,plain,
( ! [X0] :
( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00)
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_74 ),
inference(resolution,[],[f678,f590]) ).
fof(f2161,plain,
( spl6_209
| ~ spl6_28
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f637,f612,f296,f2159]) ).
fof(f2159,plain,
( spl6_209
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f296,plain,
( spl6_28
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f612,plain,
( spl6_70
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f637,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) )
| ~ spl6_28
| ~ spl6_70 ),
inference(resolution,[],[f613,f297]) ).
fof(f297,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f613,plain,
( ! [X0,X1] :
( sP2(sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f2157,plain,
( spl6_208
| ~ spl6_27
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f636,f612,f292,f2155]) ).
fof(f2155,plain,
( spl6_208
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f292,plain,
( spl6_27
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f636,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) )
| ~ spl6_27
| ~ spl6_70 ),
inference(resolution,[],[f613,f293]) ).
fof(f293,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f2153,plain,
( spl6_207
| ~ spl6_28
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f628,f608,f296,f2151]) ).
fof(f2151,plain,
( spl6_207
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f608,plain,
( spl6_69
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) )
| ~ spl6_28
| ~ spl6_69 ),
inference(resolution,[],[f609,f297]) ).
fof(f609,plain,
( ! [X0,X1] :
( sP2(sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f2149,plain,
( spl6_206
| ~ spl6_27
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f627,f608,f292,f2147]) ).
fof(f2147,plain,
( spl6_206
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f627,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) )
| ~ spl6_27
| ~ spl6_69 ),
inference(resolution,[],[f609,f293]) ).
fof(f2145,plain,
( spl6_205
| ~ spl6_28
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f621,f604,f296,f2143]) ).
fof(f621,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1)) )
| ~ spl6_28
| ~ spl6_68 ),
inference(resolution,[],[f605,f297]) ).
fof(f2135,plain,
( spl6_204
| ~ spl6_27
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f620,f604,f292,f2133]) ).
fof(f620,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1))) )
| ~ spl6_27
| ~ spl6_68 ),
inference(resolution,[],[f605,f293]) ).
fof(f2077,plain,
( spl6_203
| ~ spl6_1
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f1909,f1850,f173,f2075]) ).
fof(f1850,plain,
( spl6_174
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f1909,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK3,X0)) )
| ~ spl6_1
| ~ spl6_174 ),
inference(resolution,[],[f1851,f175]) ).
fof(f1851,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) )
| ~ spl6_174 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f2052,plain,
( spl6_202
| ~ spl6_4
| ~ spl6_61
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1122,f1077,f542,f188,f2050]) ).
fof(f2050,plain,
( spl6_202
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f542,plain,
( spl6_61
<=> sz0z00 = sdtasdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f1122,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_61
| ~ spl6_103 ),
inference(forward_demodulation,[],[f1116,f544]) ).
fof(f544,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1116,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_103 ),
inference(resolution,[],[f1078,f190]) ).
fof(f2048,plain,
( spl6_201
| ~ spl6_4
| ~ spl6_56
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1115,f1073,f499,f188,f2046]) ).
fof(f2046,plain,
( spl6_201
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f1115,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_56
| ~ spl6_102 ),
inference(forward_demodulation,[],[f1109,f501]) ).
fof(f1109,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,sz0z00)) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_102 ),
inference(resolution,[],[f1074,f190]) ).
fof(f2044,plain,
( spl6_200
| ~ spl6_11
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f912,f902,f219,f2042]) ).
fof(f2042,plain,
( spl6_200
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz0z00) = smndt0(sdtasdt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f912,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz0z00) = smndt0(sdtasdt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_81 ),
inference(resolution,[],[f903,f220]) ).
fof(f2040,plain,
( spl6_199
| ~ spl6_67
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f675,f660,f589,f2038]) ).
fof(f675,plain,
( ! [X0] :
( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_73 ),
inference(resolution,[],[f661,f590]) ).
fof(f2036,plain,
( spl6_198
| ~ spl6_67
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f669,f656,f589,f2034]) ).
fof(f669,plain,
( ! [X0] :
( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl6_67
| ~ spl6_72 ),
inference(resolution,[],[f657,f590]) ).
fof(f2032,plain,
( spl6_197
| ~ spl6_1
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f1906,f1846,f173,f2030]) ).
fof(f1846,plain,
( spl6_173
<=> ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f1906,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sK3,X0),sz0z00) )
| ~ spl6_1
| ~ spl6_173 ),
inference(resolution,[],[f1847,f175]) ).
fof(f1847,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) )
| ~ spl6_173 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f2028,plain,
( spl6_196
| ~ spl6_24
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f635,f612,f274,f2026]) ).
fof(f2026,plain,
( spl6_196
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = smndt0(smndt0(sdtasdt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = smndt0(smndt0(sdtasdt0(X0,X1))) )
| ~ spl6_24
| ~ spl6_70 ),
inference(resolution,[],[f613,f275]) ).
fof(f2024,plain,
( spl6_195
| ~ spl6_21
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f632,f612,f262,f2022]) ).
fof(f2022,plain,
( spl6_195
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sz0z00,sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f632,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl6_21
| ~ spl6_70 ),
inference(resolution,[],[f613,f263]) ).
fof(f2020,plain,
( spl6_194
| ~ spl6_19
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f631,f612,f254,f2018]) ).
fof(f2018,plain,
( spl6_194
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f631,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl6_19
| ~ spl6_70 ),
inference(resolution,[],[f613,f255]) ).
fof(f2016,plain,
( spl6_193
| ~ spl6_24
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f626,f608,f274,f2014]) ).
fof(f2014,plain,
( spl6_193
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = smndt0(smndt0(sdtpldt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f626,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = smndt0(smndt0(sdtpldt0(X0,X1))) )
| ~ spl6_24
| ~ spl6_69 ),
inference(resolution,[],[f609,f275]) ).
fof(f2012,plain,
( spl6_192
| ~ spl6_21
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f623,f608,f262,f2010]) ).
fof(f2010,plain,
( spl6_192
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f623,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl6_21
| ~ spl6_69 ),
inference(resolution,[],[f609,f263]) ).
fof(f2008,plain,
( spl6_191
| ~ spl6_19
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f622,f608,f254,f2006]) ).
fof(f2006,plain,
( spl6_191
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f622,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sz0z00) )
| ~ spl6_19
| ~ spl6_69 ),
inference(resolution,[],[f609,f255]) ).
fof(f2004,plain,
( spl6_190
| ~ spl6_24
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f619,f604,f274,f2002]) ).
fof(f619,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = smndt0(smndt0(sdtlbdtrb0(X0,X1))) )
| ~ spl6_24
| ~ spl6_68 ),
inference(resolution,[],[f605,f275]) ).
fof(f2000,plain,
( spl6_189
| ~ spl6_21
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f616,f604,f262,f1998]) ).
fof(f616,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)) )
| ~ spl6_21
| ~ spl6_68 ),
inference(resolution,[],[f605,f263]) ).
fof(f1991,plain,
( ~ spl6_3
| ~ spl6_14
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f1896,f1883,f232,f183]) ).
fof(f232,plain,
( spl6_14
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f1883,plain,
( spl6_182
<=> sz00 = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f1896,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl6_14
| ~ spl6_182 ),
inference(trivial_inequality_removal,[],[f1893]) ).
fof(f1893,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| ~ spl6_14
| ~ spl6_182 ),
inference(superposition,[],[f233,f1885]) ).
fof(f1885,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ spl6_182 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f233,plain,
( ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f1990,plain,
( spl6_188
| ~ spl6_19
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f615,f604,f254,f1988]) ).
fof(f615,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) )
| ~ spl6_19
| ~ spl6_68 ),
inference(resolution,[],[f605,f255]) ).
fof(f1971,plain,
( spl6_187
| ~ spl6_11
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f886,f874,f219,f1969]) ).
fof(f1969,plain,
( spl6_187
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f886,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_78 ),
inference(resolution,[],[f875,f220]) ).
fof(f1967,plain,
( spl6_186
| ~ spl6_11
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f880,f677,f219,f1965]) ).
fof(f1965,plain,
( spl6_186
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f880,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_74 ),
inference(resolution,[],[f678,f220]) ).
fof(f1905,plain,
( spl6_185
| ~ spl6_4
| ~ spl6_61
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1033,f983,f542,f188,f1903]) ).
fof(f1903,plain,
( spl6_185
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f1033,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_61
| ~ spl6_93 ),
inference(forward_demodulation,[],[f1027,f544]) ).
fof(f1027,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_93 ),
inference(resolution,[],[f984,f190]) ).
fof(f1901,plain,
( spl6_184
| ~ spl6_4
| ~ spl6_56
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1026,f978,f499,f188,f1899]) ).
fof(f1899,plain,
( spl6_184
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f1026,plain,
( ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_56
| ~ spl6_92 ),
inference(forward_demodulation,[],[f1020,f501]) ).
fof(f1020,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_92 ),
inference(resolution,[],[f979,f190]) ).
fof(f1890,plain,
( spl6_182
| spl6_183
| ~ spl6_3
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f940,f924,f183,f1887,f1883]) ).
fof(f940,plain,
( szszuzczcdt0(sz00) = szszuzczcdt0(sK5(szszuzczcdt0(sz00)))
| sz00 = szszuzczcdt0(sz00)
| ~ spl6_3
| ~ spl6_84 ),
inference(resolution,[],[f925,f185]) ).
fof(f1881,plain,
( spl6_181
| ~ spl6_3
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1582,f1579,f183,f1878]) ).
fof(f1582,plain,
( sdtlbdtrb0(sK3,sz00) = sdtlbdtrb0(sziznziztdt0(sK3),sz00)
| ~ spl6_3
| ~ spl6_148 ),
inference(resolution,[],[f1580,f185]) ).
fof(f1876,plain,
( spl6_180
| ~ spl6_11
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f673,f660,f219,f1874]) ).
fof(f1874,plain,
( spl6_180
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f673,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_73 ),
inference(resolution,[],[f661,f220]) ).
fof(f1872,plain,
( spl6_179
| ~ spl6_11
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f667,f656,f219,f1870]) ).
fof(f1870,plain,
( spl6_179
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz0z00) = sdtpldt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f667,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz0z00) = sdtpldt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl6_11
| ~ spl6_72 ),
inference(resolution,[],[f657,f220]) ).
fof(f1868,plain,
( spl6_178
| ~ spl6_23
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f634,f612,f270,f1866]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl6_23
| ~ spl6_70 ),
inference(resolution,[],[f613,f271]) ).
fof(f1864,plain,
( spl6_177
| ~ spl6_22
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f633,f612,f266,f1862]) ).
fof(f633,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl6_22
| ~ spl6_70 ),
inference(resolution,[],[f613,f267]) ).
fof(f1860,plain,
( spl6_176
| ~ spl6_23
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f625,f608,f270,f1858]) ).
fof(f625,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl6_23
| ~ spl6_69 ),
inference(resolution,[],[f609,f271]) ).
fof(f1856,plain,
( spl6_175
| ~ spl6_22
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f624,f608,f266,f1854]) ).
fof(f624,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(X0,X1),sz0z00) )
| ~ spl6_22
| ~ spl6_69 ),
inference(resolution,[],[f609,f267]) ).
fof(f1852,plain,
( spl6_174
| ~ spl6_23
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f618,f604,f270,f1850]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) )
| ~ spl6_23
| ~ spl6_68 ),
inference(resolution,[],[f605,f271]) ).
fof(f1848,plain,
( spl6_173
| ~ spl6_22
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f617,f604,f266,f1846]) ).
fof(f617,plain,
( ! [X0,X1] :
( ~ aVector0(X0)
| ~ aNaturalNumber0(X1)
| sz0z00 = sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) )
| ~ spl6_22
| ~ spl6_68 ),
inference(resolution,[],[f605,f267]) ).
fof(f1826,plain,
( spl6_172
| ~ spl6_25
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f462,f288,f284,f1824]) ).
fof(f1824,plain,
( spl6_172
<=> ! [X0] :
( ~ sP1(X0)
| sz00 = aDimensionOf0(sziznziztdt0(X0))
| sP1(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f288,plain,
( spl6_26
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f462,plain,
( ! [X0] :
( ~ sP1(X0)
| sz00 = aDimensionOf0(sziznziztdt0(X0))
| sP1(sziznziztdt0(X0)) )
| ~ spl6_25
| ~ spl6_26 ),
inference(resolution,[],[f285,f289]) ).
fof(f289,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sP1(X0) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f1822,plain,
( spl6_171
| ~ spl6_20
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f412,f296,f258,f1820]) ).
fof(f1820,plain,
( spl6_171
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f258,plain,
( spl6_20
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f412,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl6_20
| ~ spl6_28 ),
inference(resolution,[],[f259,f297]) ).
fof(f259,plain,
( ! [X0] :
( sP2(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f1818,plain,
( spl6_170
| ~ spl6_20
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f411,f292,f258,f1816]) ).
fof(f1816,plain,
( spl6_170
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f411,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl6_20
| ~ spl6_27 ),
inference(resolution,[],[f259,f293]) ).
fof(f1808,plain,
( spl6_169
| ~ spl6_1
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1575,f1544,f173,f1806]) ).
fof(f1575,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X2,X1),sdtpldt0(X0,sdtlbdtrb0(sK3,X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtlbdtrb0(sK3,X3))),sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X3)))) )
| ~ spl6_1
| ~ spl6_147 ),
inference(resolution,[],[f1545,f175]) ).
fof(f1782,plain,
( spl6_168
| ~ spl6_20
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f410,f274,f258,f1780]) ).
fof(f1780,plain,
( spl6_168
<=> ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = smndt0(smndt0(smndt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f410,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = smndt0(smndt0(smndt0(X0))) )
| ~ spl6_20
| ~ spl6_24 ),
inference(resolution,[],[f259,f275]) ).
fof(f1778,plain,
( spl6_167
| ~ spl6_20
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f407,f262,f258,f1776]) ).
fof(f1776,plain,
( spl6_167
<=> ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f407,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) )
| ~ spl6_20
| ~ spl6_21 ),
inference(resolution,[],[f259,f263]) ).
fof(f1774,plain,
( spl6_166
| ~ spl6_19
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f406,f258,f254,f1772]) ).
fof(f1772,plain,
( spl6_166
<=> ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f406,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) )
| ~ spl6_19
| ~ spl6_20 ),
inference(resolution,[],[f259,f255]) ).
fof(f1756,plain,
( spl6_165
| ~ spl6_20
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f409,f270,f258,f1754]) ).
fof(f409,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ spl6_20
| ~ spl6_23 ),
inference(resolution,[],[f259,f271]) ).
fof(f1752,plain,
( spl6_164
| ~ spl6_20
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f408,f266,f258,f1750]) ).
fof(f408,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl6_20
| ~ spl6_22 ),
inference(resolution,[],[f259,f267]) ).
fof(f1742,plain,
( spl6_163
| ~ spl6_1
| ~ spl6_137 ),
inference(avatar_split_clause,[],[f1443,f1428,f173,f1740]) ).
fof(f1443,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtpldt0(sdtasdt0(X1,sdtlbdtrb0(sK3,X2)),sdtasdt0(X0,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_1
| ~ spl6_137 ),
inference(resolution,[],[f1429,f175]) ).
fof(f1731,plain,
( spl6_162
| ~ spl6_6
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f592,f589,f197,f1729]) ).
fof(f592,plain,
( ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) )
| ~ spl6_6
| ~ spl6_67 ),
inference(resolution,[],[f590,f198]) ).
fof(f1724,plain,
( spl6_161
| ~ spl6_7
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f318,f296,f202,f1721]) ).
fof(f1721,plain,
( spl6_161
<=> sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f202,plain,
( spl6_7
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f318,plain,
( sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00)
| ~ spl6_7
| ~ spl6_28 ),
inference(resolution,[],[f297,f204]) ).
fof(f204,plain,
( sP2(sz0z00)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f1718,plain,
( spl6_160
| ~ spl6_7
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f316,f292,f202,f1715]) ).
fof(f1715,plain,
( spl6_160
<=> sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f316,plain,
( sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00))
| ~ spl6_7
| ~ spl6_27 ),
inference(resolution,[],[f293,f204]) ).
fof(f1697,plain,
( spl6_34
| spl6_159
| ~ spl6_1
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1374,f1356,f173,f1694,f325]) ).
fof(f1374,plain,
( sdtasasdt0(sK3,sK3) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK3),sziznziztdt0(sK3)),sdtasdt0(sdtlbdtrb0(sK3,aDimensionOf0(sK3)),sdtlbdtrb0(sK3,aDimensionOf0(sK3))))
| sz00 = aDimensionOf0(sK3)
| ~ spl6_1
| ~ spl6_130 ),
inference(resolution,[],[f1357,f175]) ).
fof(f1692,plain,
( spl6_158
| ~ spl6_1
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1371,f1350,f173,f1690]) ).
fof(f1371,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,sdtpldt0(X0,sdtlbdtrb0(sK3,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_1
| ~ spl6_129 ),
inference(resolution,[],[f1351,f175]) ).
fof(f1676,plain,
( spl6_157
| ~ spl6_1
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f1338,f1308,f173,f1674]) ).
fof(f1338,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_1
| ~ spl6_126 ),
inference(resolution,[],[f1309,f175]) ).
fof(f1672,plain,
( spl6_156
| ~ spl6_1
| ~ spl6_121 ),
inference(avatar_split_clause,[],[f1323,f1287,f173,f1670]) ).
fof(f1323,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X1,X0),sdtlbdtrb0(sK3,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtlbdtrb0(sK3,X2))) )
| ~ spl6_1
| ~ spl6_121 ),
inference(resolution,[],[f1288,f175]) ).
fof(f1667,plain,
( spl6_155
| ~ spl6_75
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1594,f1303,f691,f1664]) ).
fof(f1664,plain,
( spl6_155
<=> aDimensionOf0(sK3) = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f1303,plain,
( spl6_125
<=> sz00 = aDimensionOf0(sziznziztdt0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f1594,plain,
( aDimensionOf0(sK3) = szszuzczcdt0(sz00)
| ~ spl6_75
| ~ spl6_125 ),
inference(superposition,[],[f693,f1305]) ).
fof(f1305,plain,
( sz00 = aDimensionOf0(sziznziztdt0(sK3))
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1661,plain,
( spl6_154
| ~ spl6_7
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f281,f274,f202,f1658]) ).
fof(f1658,plain,
( spl6_154
<=> sz0z00 = smndt0(smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f281,plain,
( sz0z00 = smndt0(smndt0(sz0z00))
| ~ spl6_7
| ~ spl6_24 ),
inference(resolution,[],[f275,f204]) ).
fof(f1636,plain,
( spl6_153
| ~ spl6_1
| ~ spl6_114 ),
inference(avatar_split_clause,[],[f1235,f1178,f173,f1634]) ).
fof(f1235,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| smndt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(sK3,X1)) )
| ~ spl6_1
| ~ spl6_114 ),
inference(resolution,[],[f1179,f175]) ).
fof(f1632,plain,
( spl6_152
| ~ spl6_1
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f1220,f1166,f173,f1630]) ).
fof(f1220,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,smndt0(sdtlbdtrb0(sK3,X1))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(sK3,X1))) )
| ~ spl6_1
| ~ spl6_111 ),
inference(resolution,[],[f1167,f175]) ).
fof(f1628,plain,
( spl6_151
| ~ spl6_1
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1205,f1154,f173,f1626]) ).
fof(f1205,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtlbdtrb0(sK3,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(sK3,X1))) )
| ~ spl6_1
| ~ spl6_108 ),
inference(resolution,[],[f1155,f175]) ).
fof(f1612,plain,
( spl6_150
| ~ spl6_1
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1107,f1069,f173,f1610]) ).
fof(f1107,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(sK3,X1)) = sdtasdt0(sdtlbdtrb0(sK3,X1),X0)
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_101 ),
inference(resolution,[],[f1070,f175]) ).
fof(f1592,plain,
( spl6_149
| ~ spl6_1
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1092,f1057,f173,f1590]) ).
fof(f1092,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtlbdtrb0(sK3,X1)) = sdtpldt0(sdtlbdtrb0(sK3,X1),X0)
| ~ aNaturalNumber0(X1)
| ~ aScalar0(X0) )
| ~ spl6_1
| ~ spl6_98 ),
inference(resolution,[],[f1058,f175]) ).
fof(f1581,plain,
( spl6_148
| ~ spl6_33
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f922,f919,f321,f1579]) ).
fof(f919,plain,
( spl6_83
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f922,plain,
( ! [X0] :
( sdtlbdtrb0(sK3,X0) = sdtlbdtrb0(sziznziztdt0(sK3),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_33
| ~ spl6_83 ),
inference(resolution,[],[f920,f323]) ).
fof(f323,plain,
( sP1(sK3)
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f920,plain,
( ! [X0,X1] :
( ~ sP1(X1)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1546,plain,
( spl6_147
| ~ spl6_30
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f573,f566,f304,f1544]) ).
fof(f573,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) )
| ~ spl6_30
| ~ spl6_65 ),
inference(resolution,[],[f567,f305]) ).
fof(f1542,plain,
( spl6_146
| ~ spl6_32
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f571,f566,f312,f1540]) ).
fof(f571,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) )
| ~ spl6_32
| ~ spl6_65 ),
inference(resolution,[],[f567,f313]) ).
fof(f1538,plain,
( spl6_145
| ~ spl6_31
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f570,f566,f308,f1536]) ).
fof(f570,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) )
| ~ spl6_31
| ~ spl6_65 ),
inference(resolution,[],[f567,f309]) ).
fof(f1534,plain,
( spl6_144
| ~ spl6_45
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f564,f560,f387,f1532]) ).
fof(f564,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)) )
| ~ spl6_45
| ~ spl6_64 ),
inference(resolution,[],[f561,f388]) ).
fof(f1512,plain,
( spl6_143
| ~ spl6_52
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f563,f560,f472,f1510]) ).
fof(f563,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) )
| ~ spl6_52
| ~ spl6_64 ),
inference(resolution,[],[f561,f473]) ).
fof(f1494,plain,
( spl6_142
| ~ spl6_45
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f553,f549,f387,f1492]) ).
fof(f553,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)) )
| ~ spl6_45
| ~ spl6_62 ),
inference(resolution,[],[f550,f388]) ).
fof(f1469,plain,
( spl6_141
| ~ spl6_11
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f572,f566,f219,f1467]) ).
fof(f572,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) )
| ~ spl6_11
| ~ spl6_65 ),
inference(resolution,[],[f567,f220]) ).
fof(f1465,plain,
( spl6_140
| ~ spl6_52
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f552,f549,f472,f1463]) ).
fof(f552,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) )
| ~ spl6_52
| ~ spl6_62 ),
inference(resolution,[],[f550,f473]) ).
fof(f1454,plain,
( spl6_139
| ~ spl6_71
| ~ spl6_124 ),
inference(avatar_split_clause,[],[f1354,f1299,f639,f1451]) ).
fof(f1451,plain,
( spl6_139
<=> aDimensionOf0(sziznziztdt0(sK3)) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sziznziztdt0(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f639,plain,
( spl6_71
<=> ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f1299,plain,
( spl6_124
<=> sP1(sziznziztdt0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f1354,plain,
( aDimensionOf0(sziznziztdt0(sK3)) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sziznziztdt0(sK3))))
| ~ spl6_71
| ~ spl6_124 ),
inference(resolution,[],[f1301,f640]) ).
fof(f640,plain,
( ! [X0] :
( ~ sP1(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f1301,plain,
( sP1(sziznziztdt0(sK3))
| ~ spl6_124 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1449,plain,
( spl6_138
| ~ spl6_4
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f569,f566,f188,f1447]) ).
fof(f569,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) )
| ~ spl6_4
| ~ spl6_65 ),
inference(resolution,[],[f567,f190]) ).
fof(f1430,plain,
( spl6_137
| ~ spl6_30
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f530,f518,f304,f1428]) ).
fof(f530,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) )
| ~ spl6_30
| ~ spl6_58 ),
inference(resolution,[],[f519,f305]) ).
fof(f1426,plain,
( spl6_136
| ~ spl6_32
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f528,f518,f312,f1424]) ).
fof(f528,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) )
| ~ spl6_32
| ~ spl6_58 ),
inference(resolution,[],[f519,f313]) ).
fof(f1422,plain,
( spl6_135
| ~ spl6_31
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f527,f518,f308,f1420]) ).
fof(f527,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) )
| ~ spl6_31
| ~ spl6_58 ),
inference(resolution,[],[f519,f309]) ).
fof(f1410,plain,
( ~ spl6_4
| spl6_134
| ~ spl6_50
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f482,f472,f464,f1408,f188]) ).
fof(f482,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) )
| ~ spl6_50
| ~ spl6_52 ),
inference(resolution,[],[f473,f465]) ).
fof(f1398,plain,
( ~ spl6_4
| spl6_133
| ~ spl6_51
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f481,f472,f468,f1396,f188]) ).
fof(f481,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) )
| ~ spl6_51
| ~ spl6_52 ),
inference(resolution,[],[f473,f469]) ).
fof(f1389,plain,
( ~ spl6_4
| spl6_132
| ~ spl6_45
| ~ spl6_51 ),
inference(avatar_split_clause,[],[f476,f468,f387,f1387,f188]) ).
fof(f1387,plain,
( spl6_132
<=> ! [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,[spl6_132])]) ).
fof(f476,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)) )
| ~ spl6_45
| ~ spl6_51 ),
inference(resolution,[],[f469,f388]) ).
fof(f1380,plain,
( ~ spl6_4
| spl6_131
| ~ spl6_45
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f475,f464,f387,f1378,f188]) ).
fof(f1378,plain,
( spl6_131
<=> ! [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,[spl6_131])]) ).
fof(f475,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)) )
| ~ spl6_45
| ~ spl6_50 ),
inference(resolution,[],[f465,f388]) ).
fof(f1358,plain,
( spl6_130
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f587,f575,f1356]) ).
fof(f575,plain,
( spl6_66
<=> ! [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,[spl6_66])]) ).
fof(f587,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) )
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f586,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) )
| ~ spl6_66 ),
inference(equality_resolution,[],[f576]) ).
fof(f576,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) )
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1352,plain,
( spl6_129
| ~ spl6_30
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f525,f514,f304,f1350]) ).
fof(f525,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) )
| ~ spl6_30
| ~ spl6_57 ),
inference(resolution,[],[f515,f305]) ).
fof(f1348,plain,
( spl6_128
| ~ spl6_32
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f523,f514,f312,f1346]) ).
fof(f523,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) )
| ~ spl6_32
| ~ spl6_57 ),
inference(resolution,[],[f515,f313]) ).
fof(f1344,plain,
( spl6_127
| ~ spl6_31
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f522,f514,f308,f1342]) ).
fof(f522,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) )
| ~ spl6_31
| ~ spl6_57 ),
inference(resolution,[],[f515,f309]) ).
fof(f1310,plain,
( spl6_126
| ~ spl6_30
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f512,f491,f304,f1308]) ).
fof(f512,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) )
| ~ spl6_30
| ~ spl6_54 ),
inference(resolution,[],[f492,f305]) ).
fof(f1306,plain,
( spl6_124
| spl6_125
| ~ spl6_26
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1192,f1048,f288,f1303,f1299]) ).
fof(f1192,plain,
( sz00 = aDimensionOf0(sziznziztdt0(sK3))
| sP1(sziznziztdt0(sK3))
| ~ spl6_26
| ~ spl6_96 ),
inference(resolution,[],[f1049,f289]) ).
fof(f1049,plain,
( aVector0(sziznziztdt0(sK3))
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1297,plain,
( spl6_123
| ~ spl6_32
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f510,f491,f312,f1295]) ).
fof(f510,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) )
| ~ spl6_32
| ~ spl6_54 ),
inference(resolution,[],[f492,f313]) ).
fof(f1293,plain,
( spl6_122
| ~ spl6_31
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f509,f491,f308,f1291]) ).
fof(f509,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) )
| ~ spl6_31
| ~ spl6_54 ),
inference(resolution,[],[f492,f309]) ).
fof(f1289,plain,
( spl6_121
| ~ spl6_30
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f507,f487,f304,f1287]) ).
fof(f507,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) )
| ~ spl6_30
| ~ spl6_53 ),
inference(resolution,[],[f488,f305]) ).
fof(f1285,plain,
( spl6_120
| ~ spl6_32
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f505,f487,f312,f1283]) ).
fof(f505,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) )
| ~ spl6_32
| ~ spl6_53 ),
inference(resolution,[],[f488,f313]) ).
fof(f1281,plain,
( spl6_119
| ~ spl6_31
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f504,f487,f308,f1279]) ).
fof(f504,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) )
| ~ spl6_31
| ~ spl6_53 ),
inference(resolution,[],[f488,f309]) ).
fof(f1270,plain,
( spl6_118
| ~ spl6_11
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f529,f518,f219,f1268]) ).
fof(f529,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) )
| ~ spl6_11
| ~ spl6_58 ),
inference(resolution,[],[f519,f220]) ).
fof(f1259,plain,
( spl6_117
| ~ spl6_11
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f524,f514,f219,f1257]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_57 ),
inference(resolution,[],[f515,f220]) ).
fof(f1188,plain,
( spl6_116
| ~ spl6_11
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f511,f491,f219,f1186]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_54 ),
inference(resolution,[],[f492,f220]) ).
fof(f1184,plain,
( spl6_115
| ~ spl6_11
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f506,f487,f219,f1182]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl6_11
| ~ spl6_53 ),
inference(resolution,[],[f488,f220]) ).
fof(f1180,plain,
( spl6_114
| ~ spl6_30
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f450,f383,f304,f1178]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_44 ),
inference(resolution,[],[f384,f305]) ).
fof(f1176,plain,
( spl6_113
| ~ spl6_32
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f448,f383,f312,f1174]) ).
fof(f448,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_44 ),
inference(resolution,[],[f384,f313]) ).
fof(f1172,plain,
( spl6_112
| ~ spl6_31
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f447,f383,f308,f1170]) ).
fof(f447,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_44 ),
inference(resolution,[],[f384,f309]) ).
fof(f1168,plain,
( spl6_111
| ~ spl6_30
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f444,f379,f304,f1166]) ).
fof(f444,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_43 ),
inference(resolution,[],[f380,f305]) ).
fof(f1164,plain,
( spl6_110
| ~ spl6_32
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f442,f379,f312,f1162]) ).
fof(f442,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_43 ),
inference(resolution,[],[f380,f313]) ).
fof(f1160,plain,
( spl6_109
| ~ spl6_31
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f441,f379,f308,f1158]) ).
fof(f441,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_43 ),
inference(resolution,[],[f380,f309]) ).
fof(f1156,plain,
( spl6_108
| ~ spl6_30
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f438,f375,f304,f1154]) ).
fof(f438,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_42 ),
inference(resolution,[],[f376,f305]) ).
fof(f1152,plain,
( spl6_107
| ~ spl6_32
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f436,f375,f312,f1150]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_42 ),
inference(resolution,[],[f376,f313]) ).
fof(f1148,plain,
( ~ spl6_33
| ~ spl6_25
| spl6_96 ),
inference(avatar_split_clause,[],[f1094,f1048,f284,f321]) ).
fof(f1094,plain,
( ~ sP1(sK3)
| ~ spl6_25
| spl6_96 ),
inference(resolution,[],[f1050,f285]) ).
fof(f1050,plain,
( ~ aVector0(sziznziztdt0(sK3))
| spl6_96 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1147,plain,
( spl6_106
| ~ spl6_31
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f435,f375,f308,f1145]) ).
fof(f435,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_42 ),
inference(resolution,[],[f376,f309]) ).
fof(f1135,plain,
( ~ spl6_4
| spl6_105
| ~ spl6_18
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f480,f472,f250,f1133,f188]) ).
fof(f480,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_18
| ~ spl6_52 ),
inference(resolution,[],[f473,f251]) ).
fof(f1126,plain,
( ~ spl6_4
| spl6_104
| ~ spl6_18
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f454,f387,f250,f1124,f188]) ).
fof(f1124,plain,
( spl6_104
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f454,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl6_18
| ~ spl6_45 ),
inference(resolution,[],[f388,f251]) ).
fof(f1079,plain,
( spl6_103
| ~ spl6_4
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f526,f518,f188,f1077]) ).
fof(f526,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_58 ),
inference(resolution,[],[f519,f190]) ).
fof(f1075,plain,
( spl6_102
| ~ spl6_4
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f521,f514,f188,f1073]) ).
fof(f521,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_57 ),
inference(resolution,[],[f515,f190]) ).
fof(f1071,plain,
( spl6_101
| ~ spl6_30
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f431,f424,f304,f1069]) ).
fof(f431,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_48 ),
inference(resolution,[],[f425,f305]) ).
fof(f1067,plain,
( spl6_100
| ~ spl6_32
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f429,f424,f312,f1065]) ).
fof(f429,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_48 ),
inference(resolution,[],[f425,f313]) ).
fof(f1063,plain,
( spl6_99
| ~ spl6_31
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f428,f424,f308,f1061]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_48 ),
inference(resolution,[],[f425,f309]) ).
fof(f1059,plain,
( spl6_98
| ~ spl6_30
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f422,f394,f304,f1057]) ).
fof(f422,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl6_30
| ~ spl6_47 ),
inference(resolution,[],[f395,f305]) ).
fof(f1055,plain,
( spl6_97
| ~ spl6_32
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f420,f394,f312,f1053]) ).
fof(f420,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_32
| ~ spl6_47 ),
inference(resolution,[],[f395,f313]) ).
fof(f1051,plain,
( ~ spl6_96
| ~ spl6_8
| spl6_76 ),
inference(avatar_split_clause,[],[f981,f761,f207,f1048]) ).
fof(f981,plain,
( ~ aVector0(sziznziztdt0(sK3))
| ~ spl6_8
| spl6_76 ),
inference(resolution,[],[f763,f208]) ).
fof(f763,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK3)))
| spl6_76 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f1046,plain,
( spl6_95
| ~ spl6_31
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f419,f394,f308,f1044]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_31
| ~ spl6_47 ),
inference(resolution,[],[f395,f309]) ).
fof(f1037,plain,
( spl6_94
| ~ spl6_29
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f354,f344,f300,f1035]) ).
fof(f344,plain,
( spl6_37
<=> ! [X0] :
( szszuzczcdt0(sK5(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f354,plain,
( ! [X0] :
( sz00 = sK5(X0)
| sK5(X0) = szszuzczcdt0(sK5(sK5(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_29
| ~ spl6_37 ),
inference(resolution,[],[f345,f301]) ).
fof(f345,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK5(X0)) = X0 )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f985,plain,
( spl6_93
| ~ spl6_4
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f508,f491,f188,f983]) ).
fof(f508,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_54 ),
inference(resolution,[],[f492,f190]) ).
fof(f980,plain,
( spl6_92
| ~ spl6_4
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f503,f487,f188,f978]) ).
fof(f503,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_53 ),
inference(resolution,[],[f488,f190]) ).
fof(f976,plain,
( spl6_91
| ~ spl6_38
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f484,f472,f348,f974]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl6_38
| ~ spl6_52 ),
inference(duplicate_literal_removal,[],[f478]) ).
fof(f478,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl6_38
| ~ spl6_52 ),
inference(resolution,[],[f473,f349]) ).
fof(f972,plain,
( spl6_90
| ~ spl6_11
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f449,f383,f219,f970]) ).
fof(f449,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_44 ),
inference(resolution,[],[f384,f220]) ).
fof(f968,plain,
( spl6_89
| ~ spl6_11
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f443,f379,f219,f966]) ).
fof(f443,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_43 ),
inference(resolution,[],[f380,f220]) ).
fof(f964,plain,
( spl6_88
| ~ spl6_11
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f437,f375,f219,f962]) ).
fof(f437,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_42 ),
inference(resolution,[],[f376,f220]) ).
fof(f939,plain,
( spl6_87
| ~ spl6_11
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f430,f424,f219,f937]) ).
fof(f430,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_48 ),
inference(resolution,[],[f425,f220]) ).
fof(f934,plain,
( spl6_86
| ~ spl6_11
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f421,f394,f219,f932]) ).
fof(f421,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl6_11
| ~ spl6_47 ),
inference(resolution,[],[f395,f220]) ).
fof(f930,plain,
( spl6_85
| ~ spl6_8
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f353,f344,f207,f928]) ).
fof(f353,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK5(aDimensionOf0(X0)))
| ~ aVector0(X0) )
| ~ spl6_8
| ~ spl6_37 ),
inference(resolution,[],[f345,f208]) ).
fof(f926,plain,
( spl6_84
| ~ spl6_10
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f352,f344,f215,f924]) ).
fof(f352,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK5(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_10
| ~ spl6_37 ),
inference(resolution,[],[f345,f216]) ).
fof(f921,plain,
( spl6_83
| ~ spl6_17
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f367,f360,f245,f919]) ).
fof(f360,plain,
( spl6_39
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) )
| ~ spl6_17
| ~ spl6_39 ),
inference(resolution,[],[f361,f246]) ).
fof(f361,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f908,plain,
( spl6_82
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f558,f555,f906]) ).
fof(f555,plain,
( spl6_63
<=> ! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK4(X0,X1)) != sdtlbdtrb0(X0,sK4(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f558,plain,
( ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl6_63 ),
inference(equality_resolution,[],[f556]) ).
fof(f556,plain,
( ! [X0,X1] :
( sdtlbdtrb0(X1,sK4(X0,X1)) != sdtlbdtrb0(X0,sK4(X0,X1))
| sP0(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f904,plain,
( spl6_81
| ~ spl6_4
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f446,f383,f188,f902]) ).
fof(f446,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_44 ),
inference(resolution,[],[f384,f190]) ).
fof(f899,plain,
( spl6_80
| ~ spl6_4
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f440,f379,f188,f897]) ).
fof(f897,plain,
( spl6_80
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f440,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_43 ),
inference(resolution,[],[f380,f190]) ).
fof(f895,plain,
( ~ spl6_1
| ~ spl6_8
| spl6_77 ),
inference(avatar_split_clause,[],[f827,f765,f207,f173]) ).
fof(f827,plain,
( ~ aVector0(sK3)
| ~ spl6_8
| spl6_77 ),
inference(resolution,[],[f766,f208]) ).
fof(f766,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK3))
| spl6_77 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f893,plain,
( spl6_79
| ~ spl6_4
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f434,f375,f188,f891]) ).
fof(f891,plain,
( spl6_79
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f434,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_42 ),
inference(resolution,[],[f376,f190]) ).
fof(f876,plain,
( spl6_78
| ~ spl6_4
| ~ spl6_16
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f445,f379,f239,f188,f874]) ).
fof(f445,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_16
| ~ spl6_43 ),
inference(forward_demodulation,[],[f440,f241]) ).
fof(f768,plain,
( ~ spl6_76
| spl6_77
| ~ spl6_10
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f709,f691,f215,f765,f761]) ).
fof(f709,plain,
( aNaturalNumber0(aDimensionOf0(sK3))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK3)))
| ~ spl6_10
| ~ spl6_75 ),
inference(superposition,[],[f216,f693]) ).
fof(f694,plain,
( spl6_75
| ~ spl6_33
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f663,f639,f321,f691]) ).
fof(f663,plain,
( aDimensionOf0(sK3) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK3)))
| ~ spl6_33
| ~ spl6_71 ),
inference(resolution,[],[f640,f323]) ).
fof(f685,plain,
( ~ spl6_7
| ~ spl6_15 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f680,plain,
( $false
| ~ spl6_7
| ~ spl6_15 ),
inference(resolution,[],[f237,f204]) ).
fof(f237,plain,
( ! [X0] : ~ sP2(X0)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl6_15
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f679,plain,
( spl6_74
| ~ spl6_4
| ~ spl6_16
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f439,f375,f239,f188,f677]) ).
fof(f439,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) )
| ~ spl6_4
| ~ spl6_16
| ~ spl6_42 ),
inference(forward_demodulation,[],[f434,f241]) ).
fof(f662,plain,
( spl6_73
| ~ spl6_4
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f427,f424,f188,f660]) ).
fof(f427,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl6_4
| ~ spl6_48 ),
inference(resolution,[],[f425,f190]) ).
fof(f658,plain,
( spl6_72
| ~ spl6_4
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f418,f394,f188,f656]) ).
fof(f418,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl6_4
| ~ spl6_47 ),
inference(resolution,[],[f395,f190]) ).
fof(f641,plain,
( spl6_71
| ~ spl6_17
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f342,f337,f245,f639]) ).
fof(f337,plain,
( spl6_36
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f342,plain,
( ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) )
| ~ spl6_17
| ~ spl6_36 ),
inference(resolution,[],[f338,f246]) ).
fof(f338,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f614,plain,
( spl6_70
| ~ spl6_6
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f331,f312,f197,f612]) ).
fof(f331,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) )
| ~ spl6_6
| ~ spl6_32 ),
inference(resolution,[],[f313,f198]) ).
fof(f610,plain,
( spl6_69
| ~ spl6_6
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f330,f308,f197,f608]) ).
fof(f330,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) )
| ~ spl6_6
| ~ spl6_31 ),
inference(resolution,[],[f309,f198]) ).
fof(f606,plain,
( spl6_68
| ~ spl6_6
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f329,f304,f197,f604]) ).
fof(f329,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) )
| ~ spl6_6
| ~ spl6_30 ),
inference(resolution,[],[f305,f198]) ).
fof(f591,plain,
( spl6_67
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f433,f371,f589]) ).
fof(f433,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl6_41 ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f432,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl6_41 ),
inference(equality_resolution,[],[f372]) ).
fof(f577,plain,
spl6_66,
inference(avatar_split_clause,[],[f146,f575]) ).
fof(f146,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,[],[f62]) ).
fof(f62,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,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(f568,plain,
spl6_65,
inference(avatar_split_clause,[],[f167,f566]) ).
fof(f167,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,[],[f92]) ).
fof(f92,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,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(f562,plain,
spl6_64,
inference(avatar_split_clause,[],[f169,f560]) ).
fof(f169,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,[],[f96]) ).
fof(f96,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,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f557,plain,
spl6_63,
inference(avatar_split_clause,[],[f125,f555]) ).
fof(f125,plain,
! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK4(X0,X1)) != sdtlbdtrb0(X0,sK4(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( sdtlbdtrb0(X1,sK4(X0,X1)) != sdtlbdtrb0(X0,sK4(X0,X1))
& aNaturalNumber0(sK4(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,[sK4])],[f107,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK4(X0,X1)) != sdtlbdtrb0(X0,sK4(X0,X1))
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,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,[],[f106]) ).
fof(f106,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,[],[f105]) ).
fof(f105,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,[],[f97]) ).
fof(f97,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(f551,plain,
spl6_62,
inference(avatar_split_clause,[],[f168,f549]) ).
fof(f168,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,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f545,plain,
( spl6_61
| ~ spl6_7
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f279,f266,f202,f542]) ).
fof(f279,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl6_7
| ~ spl6_22 ),
inference(resolution,[],[f267,f204]) ).
fof(f538,plain,
spl6_60,
inference(avatar_split_clause,[],[f157,f536]) ).
fof(f536,plain,
( spl6_60
<=> ! [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,[spl6_60])]) ).
fof(f157,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f534,plain,
spl6_59,
inference(avatar_split_clause,[],[f145,f532]) ).
fof(f532,plain,
( spl6_59
<=> ! [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,[spl6_59])]) ).
fof(f145,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f520,plain,
spl6_58,
inference(avatar_split_clause,[],[f165,f518]) ).
fof(f165,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,[],[f88]) ).
fof(f88,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,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f516,plain,
spl6_57,
inference(avatar_split_clause,[],[f164,f514]) ).
fof(f164,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,[],[f88]) ).
fof(f502,plain,
( spl6_56
| ~ spl6_7
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f277,f254,f202,f499]) ).
fof(f277,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl6_7
| ~ spl6_19 ),
inference(resolution,[],[f255,f204]) ).
fof(f497,plain,
spl6_55,
inference(avatar_split_clause,[],[f171,f495]) ).
fof(f171,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f493,plain,
spl6_54,
inference(avatar_split_clause,[],[f162,f491]) ).
fof(f162,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,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,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f489,plain,
spl6_53,
inference(avatar_split_clause,[],[f160,f487]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f474,plain,
spl6_52,
inference(avatar_split_clause,[],[f166,f472]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f470,plain,
spl6_51,
inference(avatar_split_clause,[],[f159,f468]) ).
fof(f159,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,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,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f466,plain,
spl6_50,
inference(avatar_split_clause,[],[f158,f464]) ).
fof(f158,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f461,plain,
spl6_49,
inference(avatar_split_clause,[],[f124,f459]) ).
fof(f124,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK4(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f426,plain,
( spl6_46
| spl6_48 ),
inference(avatar_split_clause,[],[f163,f424,f391]) ).
fof(f391,plain,
( spl6_46
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f163,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f399,plain,
( ~ spl6_4
| ~ spl6_46 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl6_4
| ~ spl6_46 ),
inference(resolution,[],[f392,f190]) ).
fof(f392,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f396,plain,
( spl6_46
| spl6_47 ),
inference(avatar_split_clause,[],[f161,f394,f391]) ).
fof(f161,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f389,plain,
spl6_45,
inference(avatar_split_clause,[],[f156,f387]) ).
fof(f156,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f385,plain,
spl6_44,
inference(avatar_split_clause,[],[f154,f383]) ).
fof(f154,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f381,plain,
spl6_43,
inference(avatar_split_clause,[],[f153,f379]) ).
fof(f153,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f377,plain,
spl6_42,
inference(avatar_split_clause,[],[f152,f375]) ).
fof(f152,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f373,plain,
spl6_41,
inference(avatar_split_clause,[],[f144,f371]) ).
fof(f144,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f366,plain,
spl6_40,
inference(avatar_split_clause,[],[f149,f364]) ).
fof(f149,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f362,plain,
spl6_39,
inference(avatar_split_clause,[],[f123,f360]) ).
fof(f123,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f350,plain,
spl6_38,
inference(avatar_split_clause,[],[f155,f348]) ).
fof(f155,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f346,plain,
spl6_37,
inference(avatar_split_clause,[],[f143,f344]) ).
fof(f143,plain,
! [X0] :
( szszuzczcdt0(sK5(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( szszuzczcdt0(sK5(X0)) = X0
& aNaturalNumber0(sK5(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f56,f111]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK5(X0)) = X0
& aNaturalNumber0(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f339,plain,
spl6_36,
inference(avatar_split_clause,[],[f122,f337]) ).
fof(f122,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f335,plain,
spl6_35,
inference(avatar_split_clause,[],[f120,f333]) ).
fof(f333,plain,
( spl6_35
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f120,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f328,plain,
( spl6_33
| spl6_34
| ~ spl6_1
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f315,f288,f173,f325,f321]) ).
fof(f315,plain,
( sz00 = aDimensionOf0(sK3)
| sP1(sK3)
| ~ spl6_1
| ~ spl6_26 ),
inference(resolution,[],[f289,f175]) ).
fof(f314,plain,
spl6_32,
inference(avatar_split_clause,[],[f151,f312]) ).
fof(f151,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f310,plain,
spl6_31,
inference(avatar_split_clause,[],[f150,f308]) ).
fof(f150,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f306,plain,
spl6_30,
inference(avatar_split_clause,[],[f148,f304]) ).
fof(f148,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f302,plain,
spl6_29,
inference(avatar_split_clause,[],[f142,f300]) ).
fof(f142,plain,
! [X0] :
( aNaturalNumber0(sK5(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f298,plain,
spl6_28,
inference(avatar_split_clause,[],[f138,f296]) ).
fof(f138,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,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,[],[f100]) ).
fof(f100,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(f294,plain,
spl6_27,
inference(avatar_split_clause,[],[f137,f292]) ).
fof(f137,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f290,plain,
spl6_26,
inference(avatar_split_clause,[],[f126,f288]) ).
fof(f126,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f48,f98,f97]) ).
fof(f48,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,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f286,plain,
( spl6_25
| ~ spl6_9
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f248,f245,f211,f284]) ).
fof(f211,plain,
( spl6_9
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f248,plain,
( ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) )
| ~ spl6_9
| ~ spl6_17 ),
inference(resolution,[],[f246,f212]) ).
fof(f212,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f276,plain,
spl6_24,
inference(avatar_split_clause,[],[f139,f274]) ).
fof(f139,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f272,plain,
spl6_23,
inference(avatar_split_clause,[],[f136,f270]) ).
fof(f136,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f268,plain,
spl6_22,
inference(avatar_split_clause,[],[f135,f266]) ).
fof(f135,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f264,plain,
spl6_21,
inference(avatar_split_clause,[],[f134,f262]) ).
fof(f134,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f260,plain,
( spl6_20
| ~ spl6_6
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f226,f219,f197,f258]) ).
fof(f226,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl6_6
| ~ spl6_11 ),
inference(resolution,[],[f220,f198]) ).
fof(f256,plain,
spl6_19,
inference(avatar_split_clause,[],[f133,f254]) ).
fof(f133,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f252,plain,
spl6_18,
inference(avatar_split_clause,[],[f132,f250]) ).
fof(f132,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f247,plain,
spl6_17,
inference(avatar_split_clause,[],[f170,f245]) ).
fof(f170,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f242,plain,
( spl6_15
| spl6_16 ),
inference(avatar_split_clause,[],[f140,f239,f236]) ).
fof(f140,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f234,plain,
spl6_14,
inference(avatar_split_clause,[],[f129,f232]) ).
fof(f129,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f230,plain,
spl6_13,
inference(avatar_split_clause,[],[f127,f228]) ).
fof(f127,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f225,plain,
spl6_12,
inference(avatar_split_clause,[],[f131,f223]) ).
fof(f131,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f221,plain,
spl6_11,
inference(avatar_split_clause,[],[f130,f219]) ).
fof(f130,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f217,plain,
spl6_10,
inference(avatar_split_clause,[],[f128,f215]) ).
fof(f128,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f213,plain,
spl6_9,
inference(avatar_split_clause,[],[f121,f211]) ).
fof(f121,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f209,plain,
spl6_8,
inference(avatar_split_clause,[],[f118,f207]) ).
fof(f118,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f205,plain,
( spl6_7
| ~ spl6_4
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f200,f197,f188,f202]) ).
fof(f200,plain,
( sP2(sz0z00)
| ~ spl6_4
| ~ spl6_6 ),
inference(resolution,[],[f198,f190]) ).
fof(f199,plain,
spl6_6,
inference(avatar_split_clause,[],[f141,f197]) ).
fof(f141,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f54,f100]) ).
fof(f54,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f195,plain,
spl6_5,
inference(avatar_split_clause,[],[f114,f193]) ).
fof(f114,plain,
! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK3))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK3))
| ~ aVector0(X1) )
& aVector0(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f45,f102]) ).
fof(f102,plain,
( ? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) )
=> ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK3))
| ~ aVector0(X1) )
& aVector0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0] :
( aVector0(X0)
=> ( ! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0] :
( aVector0(X0)
=> ( ! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f191,plain,
spl6_4,
inference(avatar_split_clause,[],[f117,f188]) ).
fof(f117,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f186,plain,
spl6_3,
inference(avatar_split_clause,[],[f116,f183]) ).
fof(f116,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f181,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f115,f178]) ).
fof(f115,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(sK3,sK3)),
inference(cnf_transformation,[],[f103]) ).
fof(f176,plain,
spl6_1,
inference(avatar_split_clause,[],[f113,f173]) ).
fof(f113,plain,
aVector0(sK3),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.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 02:17:18 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (10250)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (10254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (10253)WARNING: value z3 for option sas not known
% 0.15/0.37 % (10252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (10251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (10253)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)
% 0.15/0.37 % (10256)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)
% 0.15/0.37 % (10257)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)
% 0.15/0.37 % (10255)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)
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.22/0.41 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.56 TRYING [5]
% 0.22/0.58 TRYING [5]
% 2.70/0.77 % (10255)First to succeed.
% 3.20/0.80 % (10255)Refutation found. Thanks to Tanya!
% 3.20/0.80 % SZS status Theorem for theBenchmark
% 3.20/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/0.82 % (10255)------------------------------
% 3.20/0.82 % (10255)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.20/0.82 % (10255)Termination reason: Refutation
% 3.20/0.82
% 3.20/0.82 % (10255)Memory used [KB]: 8224
% 3.20/0.82 % (10255)Time elapsed: 0.427 s
% 3.20/0.82 % (10255)Instructions burned: 1089 (million)
% 3.20/0.82 % (10255)------------------------------
% 3.20/0.82 % (10255)------------------------------
% 3.20/0.82 % (10250)Success in time 0.451 s
%------------------------------------------------------------------------------