TSTP Solution File: NUM534+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 14:32:23 EDT 2024
% Result : Theorem 2.98s 0.78s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 520
% Syntax : Number of formulae : 1865 ( 60 unt; 0 def)
% Number of atoms : 10363 (1403 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 13962 (5464 ~;7753 |; 189 &)
% ( 533 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 510 ( 508 usr; 502 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 3167 (3150 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10826,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f144,f149,f153,f158,f162,f167,f172,f177,f181,f190,f195,f199,f203,f210,f216,f221,f225,f229,f233,f242,f246,f247,f254,f258,f262,f266,f270,f288,f293,f297,f301,f311,f318,f322,f326,f330,f360,f364,f368,f375,f379,f383,f387,f391,f395,f399,f461,f495,f515,f519,f539,f553,f557,f562,f566,f570,f577,f581,f605,f609,f623,f627,f663,f670,f678,f683,f691,f702,f706,f711,f715,f719,f728,f737,f744,f748,f779,f783,f787,f816,f820,f824,f828,f832,f836,f891,f900,f925,f936,f940,f990,f994,f1008,f1037,f1041,f1045,f1085,f1112,f1116,f1120,f1124,f1138,f1142,f1152,f1159,f1163,f1167,f1171,f1175,f1198,f1203,f1210,f1219,f1231,f1242,f1253,f1257,f1261,f1277,f1281,f1320,f1335,f1339,f1357,f1361,f1401,f1405,f1406,f1428,f1436,f1446,f1450,f1454,f1458,f1467,f1471,f1553,f1564,f1571,f1575,f1579,f1583,f1641,f1649,f1653,f1657,f1661,f1706,f1751,f1762,f1775,f1779,f1783,f1788,f1792,f1885,f1889,f1893,f1897,f1901,f1905,f1935,f1939,f1967,f1991,f2006,f2010,f2070,f2074,f2118,f2135,f2139,f2143,f2147,f2151,f2155,f2186,f2270,f2291,f2317,f2324,f2354,f2392,f2396,f2400,f2404,f2408,f2412,f2416,f2560,f2585,f2592,f2679,f2683,f2687,f2767,f2772,f2821,f2832,f2837,f2842,f2852,f2860,f2864,f2868,f2877,f2882,f2886,f2890,f2911,f2926,f2930,f2955,f2961,f2970,f2979,f2983,f2992,f2999,f3004,f3008,f3012,f3033,f3067,f3072,f3079,f3084,f3092,f3101,f3107,f3115,f3123,f3148,f3152,f3156,f3174,f3178,f3182,f3186,f3245,f3262,f3266,f3275,f3280,f3285,f3511,f3522,f3532,f3588,f3599,f3605,f3614,f3621,f3622,f3634,f3638,f3647,f3656,f3664,f3672,f3676,f3697,f3721,f3747,f3771,f3776,f3780,f3839,f3862,f3868,f3872,f3876,f3880,f3887,f3900,f3909,f3942,f3955,f3966,f3978,f3982,f4043,f4060,f4069,f4076,f4100,f4133,f4137,f4145,f4174,f4204,f4210,f4214,f4223,f4227,f4231,f4235,f4239,f4243,f4247,f4378,f4388,f4415,f4444,f4454,f4464,f4468,f4478,f4488,f4787,f4798,f4802,f4844,f4853,f4857,f4861,f4865,f4911,f4915,f4919,f4923,f5036,f5040,f5044,f5048,f5052,f5067,f5071,f5084,f5099,f5114,f5125,f5265,f5310,f5335,f5339,f5343,f5421,f5425,f5429,f5433,f5437,f5441,f5445,f5516,f5547,f5578,f5609,f5620,f5631,f5775,f5799,f5803,f5924,f5928,f5937,f5946,f5958,f5970,f6014,f6040,f6044,f6103,f6161,f6176,f6183,f6193,f6197,f6201,f6205,f6214,f6218,f6222,f6226,f6230,f6234,f6245,f6276,f6684,f6708,f6729,f6740,f6744,f6748,f6752,f6756,f6760,f6765,f6983,f7008,f7012,f7033,f7037,f7060,f7064,f7083,f7087,f7098,f7102,f7111,f7203,f7207,f7267,f7271,f7317,f7331,f7357,f7361,f7383,f7387,f7405,f7479,f7530,f7534,f7608,f7612,f7616,f7620,f7624,f7628,f7631,f7635,f7639,f7643,f7647,f7881,f7885,f7922,f7962,f7966,f8040,f8044,f8048,f8194,f8198,f8202,f8206,f8269,f8273,f8277,f8281,f8286,f8290,f8294,f8298,f8302,f8306,f8310,f8314,f8384,f8685,f8689,f8729,f8733,f8818,f9103,f9107,f9111,f9247,f9251,f9255,f9316,f9402,f9406,f9410,f9414,f9418,f9422,f9426,f9430,f9434,f9728,f9783,f9803,f9849,f9853,f9857,f10032,f10036,f10040,f10121,f10188,f10196,f10481,f10485,f10489,f10493,f10497,f10523,f10535,f10540,f10541,f10552,f10772,f10805,f10825]) ).
fof(f10825,plain,
( ~ spl6_3
| ~ spl6_7
| ~ spl6_144
| spl6_5
| ~ spl6_40
| ~ spl6_221 ),
inference(avatar_split_clause,[],[f10543,f2952,f362,f155,f1550,f164,f146]) ).
fof(f146,plain,
( spl6_3
<=> aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f164,plain,
( spl6_7
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f1550,plain,
( spl6_144
<=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f155,plain,
( spl6_5
<=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f362,plain,
( spl6_40
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f2952,plain,
( spl6_221
<=> aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f10543,plain,
( xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_40
| ~ spl6_221 ),
inference(resolution,[],[f2954,f363]) ).
fof(f363,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f2954,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_221 ),
inference(avatar_component_clause,[],[f2952]) ).
fof(f10805,plain,
( ~ spl6_7
| ~ spl6_3
| spl6_501
| ~ spl6_47
| ~ spl6_221 ),
inference(avatar_split_clause,[],[f10542,f2952,f393,f10803,f146,f164]) ).
fof(f10803,plain,
( spl6_501
<=> ! [X0] :
( aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
fof(f393,plain,
( spl6_47
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f10542,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(X0) )
| ~ spl6_47
| ~ spl6_221 ),
inference(resolution,[],[f2954,f394]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f10772,plain,
( ~ spl6_3
| spl6_500
| ~ spl6_34
| ~ spl6_221 ),
inference(avatar_split_clause,[],[f10544,f2952,f309,f10770,f146]) ).
fof(f10770,plain,
( spl6_500
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
fof(f309,plain,
( spl6_34
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f10544,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_34
| ~ spl6_221 ),
inference(resolution,[],[f2954,f310]) ).
fof(f310,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f10552,plain,
( spl6_499
| ~ spl6_219
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f10547,f3121,f2944,f10549]) ).
fof(f10549,plain,
( spl6_499
<=> slcrc0 = sdtmndt0(slcrc0,sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
fof(f2944,plain,
( spl6_219
<=> aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f3121,plain,
( spl6_240
<=> ! [X0] :
( slcrc0 = sdtmndt0(slcrc0,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f10547,plain,
( slcrc0 = sdtmndt0(slcrc0,sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| ~ spl6_219
| ~ spl6_240 ),
inference(resolution,[],[f2945,f3122]) ).
fof(f3122,plain,
( ! [X0] :
( ~ aElement0(X0)
| slcrc0 = sdtmndt0(slcrc0,X0) )
| ~ spl6_240 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f2945,plain,
( aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| ~ spl6_219 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f10541,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_221
| ~ spl6_12
| ~ spl6_37
| ~ spl6_220 ),
inference(avatar_split_clause,[],[f3628,f2948,f324,f187,f2952,f164,f146]) ).
fof(f187,plain,
( spl6_12
<=> aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f324,plain,
( spl6_37
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK2(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f2948,plain,
( spl6_220
<=> xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f3628,plain,
( ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_37
| ~ spl6_220 ),
inference(superposition,[],[f325,f2950]) ).
fof(f2950,plain,
( xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ spl6_220 ),
inference(avatar_component_clause,[],[f2948]) ).
fof(f325,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK2(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f10540,plain,
( spl6_498
| ~ spl6_106
| ~ spl6_239 ),
inference(avatar_split_clause,[],[f3119,f3113,f1136,f10538]) ).
fof(f10538,plain,
( spl6_498
<=> ! [X0] :
( ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
fof(f1136,plain,
( spl6_106
<=> ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),X0)
| aElement0(sK2(X0,sdtmndt0(xS,xx)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f3113,plain,
( spl6_239
<=> ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f3119,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_106
| ~ spl6_239 ),
inference(duplicate_literal_removal,[],[f3116]) ).
fof(f3116,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0)) )
| ~ spl6_106
| ~ spl6_239 ),
inference(resolution,[],[f3114,f1137]) ).
fof(f1137,plain,
( ! [X0] :
( aElement0(sK2(X0,sdtmndt0(xS,xx)))
| aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) )
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f3114,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_239 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f10535,plain,
( ~ spl6_7
| spl6_497
| ~ spl6_19
| ~ spl6_206 ),
inference(avatar_split_clause,[],[f2838,f2835,f223,f10533,f164]) ).
fof(f10533,plain,
( spl6_497
<=> ! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sK5(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)))
| sP1(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
fof(f223,plain,
( spl6_19
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f2835,plain,
( spl6_206
<=> ! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK5(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)),xS)
| sP1(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f2838,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sP1(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0))
| aElement0(sK5(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)))
| ~ aSet0(xS) )
| ~ spl6_19
| ~ spl6_206 ),
inference(resolution,[],[f2836,f224]) ).
fof(f224,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f2836,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)),xS)
| ~ aElement0(X0)
| sP1(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)) )
| ~ spl6_206 ),
inference(avatar_component_clause,[],[f2835]) ).
fof(f10523,plain,
( spl6_496
| ~ spl6_28
| ~ spl6_478 ),
inference(avatar_split_clause,[],[f10182,f9432,f268,f10521]) ).
fof(f10521,plain,
( spl6_496
<=> ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
fof(f268,plain,
( spl6_28
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f9432,plain,
( spl6_478
<=> ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
fof(f10182,plain,
( ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl6_28
| ~ spl6_478 ),
inference(resolution,[],[f9433,f269]) ).
fof(f269,plain,
( ! [X2,X1,X4] :
( ~ sP0(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f9433,plain,
( ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_478 ),
inference(avatar_component_clause,[],[f9432]) ).
fof(f10497,plain,
( spl6_495
| ~ spl6_6
| ~ spl6_360 ),
inference(avatar_split_clause,[],[f5913,f5801,f160,f10495]) ).
fof(f10495,plain,
( spl6_495
<=> ! [X0,X1] :
( sP1(X0,sdtmndt0(slcrc0,X1),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| aElementOf0(sK5(X0,sdtmndt0(slcrc0,X1),sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
fof(f160,plain,
( spl6_6
<=> ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f5801,plain,
( spl6_360
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(slcrc0,X1),X2),X2)
| sP1(X0,sdtmndt0(slcrc0,X1),X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
fof(f5913,plain,
( ! [X0,X1] :
( sP1(X0,sdtmndt0(slcrc0,X1),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| aElementOf0(sK5(X0,sdtmndt0(slcrc0,X1),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_360 ),
inference(resolution,[],[f5802,f161]) ).
fof(f161,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(X1,xS) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f5802,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(slcrc0,X1),X2),X2)
| sP1(X0,sdtmndt0(slcrc0,X1),X2)
| ~ aElement0(X1) )
| ~ spl6_360 ),
inference(avatar_component_clause,[],[f5801]) ).
fof(f10493,plain,
( spl6_494
| ~ spl6_6
| ~ spl6_358 ),
inference(avatar_split_clause,[],[f5787,f5773,f160,f10491]) ).
fof(f10491,plain,
( spl6_494
<=> ! [X0,X1] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1))
| ~ aElement0(X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
fof(f5773,plain,
( spl6_358
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(slcrc0,X2)),X1)
| sP1(X0,X1,sdtmndt0(slcrc0,X2))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f5787,plain,
( ! [X0,X1] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1))
| ~ aElement0(X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1)),xS) )
| ~ spl6_6
| ~ spl6_358 ),
inference(resolution,[],[f5774,f161]) ).
fof(f5774,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(slcrc0,X2)),X1)
| sP1(X0,X1,sdtmndt0(slcrc0,X2))
| ~ aElement0(X2) )
| ~ spl6_358 ),
inference(avatar_component_clause,[],[f5773]) ).
fof(f10489,plain,
( spl6_493
| ~ spl6_57
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3139,f3121,f564,f10487]) ).
fof(f10487,plain,
( spl6_493
<=> ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
fof(f564,plain,
( spl6_57
<=> ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f3139,plain,
( ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_57
| ~ spl6_240 ),
inference(resolution,[],[f3122,f565]) ).
fof(f565,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f10485,plain,
( spl6_492
| ~ spl6_56
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3133,f3121,f560,f10483]) ).
fof(f10483,plain,
( spl6_492
<=> ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
fof(f560,plain,
( spl6_56
<=> ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f3133,plain,
( ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_56
| ~ spl6_240 ),
inference(resolution,[],[f3122,f561]) ).
fof(f561,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f10481,plain,
( spl6_491
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f3061,f3031,f10479]) ).
fof(f10479,plain,
( spl6_491
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),xS),xS)
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),xS)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
fof(f3031,plain,
( spl6_231
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),xS)
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f3061,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),xS),xS)
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),xS)
| ~ aElement0(X1) )
| ~ spl6_231 ),
inference(factoring,[],[f3032]) ).
fof(f3032,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),xS)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),X2)
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2)
| ~ aElement0(X1) )
| ~ spl6_231 ),
inference(avatar_component_clause,[],[f3031]) ).
fof(f10196,plain,
( spl6_490
| ~ spl6_230 ),
inference(avatar_split_clause,[],[f3026,f3010,f10194]) ).
fof(f10194,plain,
( spl6_490
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,xS,sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| sP1(X0,xS,sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
fof(f3010,plain,
( spl6_230
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| sP1(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f3026,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,xS,sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| sP1(X0,xS,sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) )
| ~ spl6_230 ),
inference(factoring,[],[f3011]) ).
fof(f3011,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| sP1(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElement0(X2) )
| ~ spl6_230 ),
inference(avatar_component_clause,[],[f3010]) ).
fof(f10188,plain,
( spl6_489
| ~ spl6_4
| ~ spl6_358 ),
inference(avatar_split_clause,[],[f5788,f5773,f151,f10186]) ).
fof(f10186,plain,
( spl6_489
<=> ! [X0,X1] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1))
| ~ aElement0(X1)
| aElement0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
fof(f151,plain,
( spl6_4
<=> ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f5788,plain,
( ! [X0,X1] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1))
| ~ aElement0(X1)
| aElement0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(slcrc0,X1))) )
| ~ spl6_4
| ~ spl6_358 ),
inference(resolution,[],[f5774,f152]) ).
fof(f152,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElement0(X1) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f10121,plain,
( spl6_488
| ~ spl6_101
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f2803,f2765,f1083,f10119]) ).
fof(f10119,plain,
( spl6_488
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
fof(f1083,plain,
( spl6_101
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
fof(f2765,plain,
( spl6_202
<=> ! [X0,X3,X2,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK5(X0,X1,sdtmndt0(X2,X3)))
| sK5(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtmndt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X1)
| sP1(X0,X1,sdtmndt0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f2803,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_202 ),
inference(duplicate_literal_removal,[],[f2799]) ).
fof(f2799,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2)
| ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_202 ),
inference(resolution,[],[f2766,f1084]) ).
fof(f1084,plain,
( ! [X2,X0,X1] :
( aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X0 = X1
| ~ aElement0(X0)
| ~ aSet0(X2) )
| ~ spl6_101 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f2766,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK5(X0,X1,sdtmndt0(X2,X3)))
| sK5(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtmndt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X1)
| sP1(X0,X1,sdtmndt0(X2,X3)) )
| ~ spl6_202 ),
inference(avatar_component_clause,[],[f2765]) ).
fof(f10040,plain,
( spl6_487
| ~ spl6_97
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2737,f2681,f1006,f10038]) ).
fof(f10038,plain,
( spl6_487
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X3
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
fof(f1006,plain,
( spl6_97
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
fof(f2681,plain,
( spl6_200
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),X3),X1)
| sK4(X0,sdtpldt0(X1,X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),X3),X3)
| sK4(X0,sdtpldt0(X1,X2),X3) = X0
| sP0(X0,sdtpldt0(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f2737,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X3
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_200 ),
inference(resolution,[],[f2682,f1007]) ).
fof(f1007,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,X2))
| aElementOf0(X0,X1)
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f2682,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),X3),X3)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtpldt0(X1,X2),X3) = X2
| sK4(X0,sdtpldt0(X1,X2),X3) = X0
| sP0(X0,sdtpldt0(X1,X2),X3) )
| ~ spl6_200 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f10036,plain,
( spl6_486
| ~ spl6_97
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2693,f2677,f1006,f10034]) ).
fof(f10034,plain,
( spl6_486
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X4
| sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
fof(f2677,plain,
( spl6_199
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| sK4(X0,X1,sdtpldt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| sK4(X0,X1,sdtpldt0(X2,X3)) = X0
| sP0(X0,X1,sdtpldt0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f2693,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X4
| sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_97
| ~ spl6_199 ),
inference(resolution,[],[f2678,f1007]) ).
fof(f2678,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK4(X0,X1,sdtpldt0(X2,X3)) = X3
| sK4(X0,X1,sdtpldt0(X2,X3)) = X0
| sP0(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_199 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f10032,plain,
( spl6_485
| ~ spl6_21
| ~ spl6_469 ),
inference(avatar_split_clause,[],[f9778,f9314,f231,f10030]) ).
fof(f10030,plain,
( spl6_485
<=> ! [X0] :
( sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
fof(f231,plain,
( spl6_21
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f9314,plain,
( spl6_469
<=> ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).
fof(f9778,plain,
( ! [X0] :
( sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl6_21
| ~ spl6_469 ),
inference(resolution,[],[f9315,f232]) ).
fof(f232,plain,
( ! [X2,X1,X4] :
( ~ sP1(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f9315,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_469 ),
inference(avatar_component_clause,[],[f9314]) ).
fof(f9857,plain,
( spl6_484
| ~ spl6_96
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f2802,f2765,f992,f9855]) ).
fof(f9855,plain,
( spl6_484
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
fof(f992,plain,
( spl6_96
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f2802,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_202 ),
inference(duplicate_literal_removal,[],[f2800]) ).
fof(f2800,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| ~ aElement0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_202 ),
inference(resolution,[],[f2766,f993]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f9853,plain,
( spl6_483
| ~ spl6_101
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f2663,f2590,f1083,f9851]) ).
fof(f9851,plain,
( spl6_483
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
fof(f2590,plain,
( spl6_198
<=> ! [X0,X3,X2,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK4(X0,X1,sdtmndt0(X2,X3)))
| sK4(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X1)
| sP0(X0,X1,sdtmndt0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f2663,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_198 ),
inference(duplicate_literal_removal,[],[f2659]) ).
fof(f2659,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2)
| ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_198 ),
inference(resolution,[],[f2591,f1084]) ).
fof(f2591,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK4(X0,X1,sdtmndt0(X2,X3)))
| sK4(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X1)
| sP0(X0,X1,sdtmndt0(X2,X3)) )
| ~ spl6_198 ),
inference(avatar_component_clause,[],[f2590]) ).
fof(f9849,plain,
( spl6_482
| ~ spl6_101
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2622,f2583,f1083,f9847]) ).
fof(f9847,plain,
( spl6_482
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
fof(f2583,plain,
( spl6_197
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(X2,X3)))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| sP1(X0,X1,sdtpldt0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f2622,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_197 ),
inference(duplicate_literal_removal,[],[f2618]) ).
fof(f2618,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_197 ),
inference(resolution,[],[f2584,f1084]) ).
fof(f2584,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(sK5(X0,X1,sdtpldt0(X2,X3)))
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| sP1(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_197 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f9803,plain,
( spl6_481
| ~ spl6_97
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2706,f2677,f1006,f9801]) ).
fof(f9801,plain,
( spl6_481
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X4
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X0
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
fof(f2706,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X4
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X0
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_199 ),
inference(resolution,[],[f2678,f1007]) ).
fof(f9783,plain,
( spl6_480
| ~ spl6_97
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2329,f2315,f1006,f9781]) ).
fof(f9781,plain,
( spl6_480
<=> ! [X0,X3,X2,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
fof(f2315,plain,
( spl6_186
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f2329,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_186 ),
inference(resolution,[],[f2316,f1007]) ).
fof(f2316,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) )
| ~ spl6_186 ),
inference(avatar_component_clause,[],[f2315]) ).
fof(f9728,plain,
( spl6_479
| ~ spl6_101
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2574,f2558,f1083,f9726]) ).
fof(f9726,plain,
( spl6_479
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X3,sdtmndt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtmndt0(sdtmndt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3),X0)
| sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
fof(f2558,plain,
( spl6_196
<=> ! [X2,X0,X1] :
( ~ aElementOf0(sK2(sdtmndt0(X0,X1),X2),X0)
| ~ aElement0(sK2(sdtmndt0(X0,X1),X2))
| sK2(sdtmndt0(X0,X1),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f2574,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X3,sdtmndt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtmndt0(sdtmndt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3),X0)
| sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_101
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2568]) ).
fof(f2568,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X3,sdtmndt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtmndt0(sdtmndt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3),X0)
| ~ aElement0(sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtmndt0(X0,X1),X2),X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_101
| ~ spl6_196 ),
inference(resolution,[],[f2559,f1084]) ).
fof(f2559,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK2(sdtmndt0(X0,X1),X2),X0)
| ~ aElement0(sK2(sdtmndt0(X0,X1),X2))
| sK2(sdtmndt0(X0,X1),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_196 ),
inference(avatar_component_clause,[],[f2558]) ).
fof(f9434,plain,
( spl6_478
| ~ spl6_54
| ~ spl6_323 ),
inference(avatar_split_clause,[],[f4903,f4859,f551,f9432]) ).
fof(f551,plain,
( spl6_54
<=> ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f4859,plain,
( spl6_323
<=> ! [X0,X1] :
( sP0(X0,X1,X1)
| sK4(X0,X1,X1) = X0
| ~ aElement0(sK4(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
fof(f4903,plain,
( ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) )
| ~ spl6_54
| ~ spl6_323 ),
inference(duplicate_literal_removal,[],[f4900]) ).
fof(f4900,plain,
( ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) )
| ~ spl6_54
| ~ spl6_323 ),
inference(resolution,[],[f4860,f552]) ).
fof(f552,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f4860,plain,
( ! [X0,X1] :
( ~ aElement0(sK4(X0,X1,X1))
| sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1) )
| ~ spl6_323 ),
inference(avatar_component_clause,[],[f4859]) ).
fof(f9430,plain,
( spl6_477
| ~ spl6_90
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2742,f2681,f898,f9428]) ).
fof(f9428,plain,
( spl6_477
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X3
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
fof(f898,plain,
( spl6_90
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
fof(f2742,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X3
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X1) )
| ~ spl6_90
| ~ spl6_200 ),
inference(resolution,[],[f2682,f899]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X2,X1) )
| ~ spl6_90 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f9426,plain,
( spl6_476
| ~ spl6_90
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2698,f2677,f898,f9424]) ).
fof(f9424,plain,
( spl6_476
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X4
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
fof(f2698,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X4
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2) )
| ~ spl6_90
| ~ spl6_199 ),
inference(resolution,[],[f2678,f899]) ).
fof(f9422,plain,
( spl6_475
| ~ spl6_97
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f2547,f2414,f1006,f9420]) ).
fof(f9420,plain,
( spl6_475
<=> ! [X0,X3,X2,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3))
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X0
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
fof(f2414,plain,
( spl6_195
<=> ! [X2,X0,X1] :
( sK4(X0,slcrc0,sdtpldt0(X1,X2)) = X0
| sP0(X0,slcrc0,sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(X1,X2)),X1)
| sK4(X0,slcrc0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f2547,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3))
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X0
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_195 ),
inference(resolution,[],[f2415,f1007]) ).
fof(f2415,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,slcrc0,sdtpldt0(X1,X2)),X1)
| sP0(X0,slcrc0,sdtpldt0(X1,X2))
| sK4(X0,slcrc0,sdtpldt0(X1,X2)) = X0
| sK4(X0,slcrc0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_195 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f9418,plain,
( spl6_474
| ~ spl6_97
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f2534,f2406,f1006,f9416]) ).
fof(f9416,plain,
( spl6_474
<=> ! [X0,X3,X2,X1] :
( sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X0
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
fof(f2406,plain,
( spl6_193
<=> ! [X2,X0,X1] :
( sK4(X0,sdtpldt0(X1,X2),slcrc0) = X0
| sP0(X0,sdtpldt0(X1,X2),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),slcrc0),X1)
| sK4(X0,sdtpldt0(X1,X2),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f2534,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X0
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_193 ),
inference(resolution,[],[f2407,f1007]) ).
fof(f2407,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),slcrc0),X1)
| sP0(X0,sdtpldt0(X1,X2),slcrc0)
| sK4(X0,sdtpldt0(X1,X2),slcrc0) = X0
| sK4(X0,sdtpldt0(X1,X2),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_193 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f9414,plain,
( spl6_473
| ~ spl6_97
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f2517,f2402,f1006,f9412]) ).
fof(f9412,plain,
( spl6_473
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X3
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
fof(f2402,plain,
( spl6_192
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),X3),X1)
| sK5(X0,sdtpldt0(X1,X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),X3),X3)
| sP1(X0,sdtpldt0(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f2517,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X3
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_192 ),
inference(resolution,[],[f2403,f1007]) ).
fof(f2403,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),X3),X3)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtpldt0(X1,X2),X3) = X2
| sP1(X0,sdtpldt0(X1,X2),X3) )
| ~ spl6_192 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f9410,plain,
( spl6_472
| ~ spl6_97
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2477,f2398,f1006,f9408]) ).
fof(f9408,plain,
( spl6_472
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X4
| sP1(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
fof(f2398,plain,
( spl6_191
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| sP1(X0,X1,sdtpldt0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f2477,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X4
| sP1(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_97
| ~ spl6_191 ),
inference(resolution,[],[f2399,f1007]) ).
fof(f2399,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X3
| sP1(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_191 ),
inference(avatar_component_clause,[],[f2398]) ).
fof(f9406,plain,
( spl6_471
| ~ spl6_97
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2461,f2394,f1006,f9404]) ).
fof(f9404,plain,
( spl6_471
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
fof(f2394,plain,
( spl6_190
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),X3),X0)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),X3),X3)
| sK4(X2,sdtmndt0(X0,X1),X3) = X2
| sP0(X2,sdtmndt0(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f2461,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_190 ),
inference(resolution,[],[f2395,f1007]) ).
fof(f2395,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X2,sdtmndt0(X0,X1),X3),X3)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sK4(X2,sdtmndt0(X0,X1),X3) = X2
| sP0(X2,sdtmndt0(X0,X1),X3) )
| ~ spl6_190 ),
inference(avatar_component_clause,[],[f2394]) ).
fof(f9402,plain,
( spl6_470
| ~ spl6_97
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2433,f2390,f1006,f9400]) ).
fof(f9400,plain,
( spl6_470
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).
fof(f2390,plain,
( spl6_189
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,X3,sdtmndt0(X0,X1)),X0)
| aElementOf0(sK4(X2,X3,sdtmndt0(X0,X1)),X3)
| sK4(X2,X3,sdtmndt0(X0,X1)) = X2
| sP0(X2,X3,sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f2433,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_97
| ~ spl6_189 ),
inference(resolution,[],[f2391,f1007]) ).
fof(f2391,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X2,X3,sdtmndt0(X0,X1)),X3)
| aElementOf0(sK4(X2,X3,sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sK4(X2,X3,sdtmndt0(X0,X1)) = X2
| sP0(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_189 ),
inference(avatar_component_clause,[],[f2390]) ).
fof(f9316,plain,
( spl6_469
| ~ spl6_55
| ~ spl6_322 ),
inference(avatar_split_clause,[],[f4891,f4855,f555,f9314]) ).
fof(f555,plain,
( spl6_55
<=> ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f4855,plain,
( spl6_322
<=> ! [X0,X1] :
( sK5(X0,X1,X1) = X0
| sP1(X0,X1,X1)
| ~ aElement0(sK5(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
fof(f4891,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_55
| ~ spl6_322 ),
inference(duplicate_literal_removal,[],[f4888]) ).
fof(f4888,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) )
| ~ spl6_55
| ~ spl6_322 ),
inference(resolution,[],[f4856,f556]) ).
fof(f556,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f4856,plain,
( ! [X0,X1] :
( ~ aElement0(sK5(X0,X1,X1))
| sP1(X0,X1,X1)
| sK5(X0,X1,X1) = X0 )
| ~ spl6_322 ),
inference(avatar_component_clause,[],[f4855]) ).
fof(f9255,plain,
( spl6_468
| ~ spl6_96
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f2662,f2590,f992,f9253]) ).
fof(f9253,plain,
( spl6_468
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
fof(f2662,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_198 ),
inference(duplicate_literal_removal,[],[f2660]) ).
fof(f2660,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| ~ aElement0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_198 ),
inference(resolution,[],[f2591,f993]) ).
fof(f9251,plain,
( spl6_467
| ~ spl6_96
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2621,f2583,f992,f9249]) ).
fof(f9249,plain,
( spl6_467
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
fof(f2621,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_197 ),
inference(duplicate_literal_removal,[],[f2619]) ).
fof(f2619,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| sP1(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_197 ),
inference(resolution,[],[f2584,f993]) ).
fof(f9247,plain,
( spl6_466
| ~ spl6_101
| ~ spl6_188 ),
inference(avatar_split_clause,[],[f2378,f2352,f1083,f9245]) ).
fof(f9245,plain,
( spl6_466
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
fof(f2352,plain,
( spl6_188
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(X2,X3)))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| sP0(X0,X1,sdtpldt0(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f2378,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_188 ),
inference(duplicate_literal_removal,[],[f2374]) ).
fof(f2374,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)))
| sK4(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_101
| ~ spl6_188 ),
inference(resolution,[],[f2353,f1084]) ).
fof(f2353,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(sK4(X0,X1,sdtpldt0(X2,X3)))
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| sP0(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_188 ),
inference(avatar_component_clause,[],[f2352]) ).
fof(f9111,plain,
( spl6_465
| ~ spl6_97
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2489,f2398,f1006,f9109]) ).
fof(f9109,plain,
( spl6_465
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X4
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
fof(f2489,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X4
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_191 ),
inference(resolution,[],[f2399,f1007]) ).
fof(f9107,plain,
( spl6_464
| ~ spl6_97
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2449,f2394,f1006,f9105]) ).
fof(f9105,plain,
( spl6_464
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)) = X0
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X3)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
fof(f2449,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)) = X0
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X3)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(X3) )
| ~ spl6_97
| ~ spl6_190 ),
inference(resolution,[],[f2395,f1007]) ).
fof(f9103,plain,
( spl6_463
| ~ spl6_97
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2422,f2390,f1006,f9101]) ).
fof(f9101,plain,
( spl6_463
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)) = X0
| sP0(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
fof(f2422,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)) = X0
| sP0(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_189 ),
inference(resolution,[],[f2391,f1007]) ).
fof(f8818,plain,
( spl6_462
| ~ spl6_97
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2298,f2289,f1006,f8816]) ).
fof(f8816,plain,
( spl6_462
<=> ! [X0,X3,X2,X1] :
( sK2(X0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| aSubsetOf0(sdtpldt0(sdtpldt0(X1,X2),X3),X0)
| ~ aSet0(sdtpldt0(sdtpldt0(X1,X2),X3))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK2(X0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
fof(f2289,plain,
( spl6_185
<=> ! [X2,X0,X1] :
( aElementOf0(sK2(X0,sdtpldt0(X1,X2)),X1)
| sK2(X0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aSubsetOf0(sdtpldt0(X1,X2),X0)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f2298,plain,
( ! [X2,X3,X0,X1] :
( sK2(X0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| aSubsetOf0(sdtpldt0(sdtpldt0(X1,X2),X3),X0)
| ~ aSet0(sdtpldt0(sdtpldt0(X1,X2),X3))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK2(X0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_185 ),
inference(resolution,[],[f2290,f1007]) ).
fof(f2290,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK2(X0,sdtpldt0(X1,X2)),X1)
| sK2(X0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aSubsetOf0(sdtpldt0(X1,X2),X0)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aSet0(X0) )
| ~ spl6_185 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f8733,plain,
( spl6_461
| ~ spl6_96
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2573,f2558,f992,f8731]) ).
fof(f8731,plain,
( spl6_461
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X3,sdtmndt0(sdtpldt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtmndt0(sdtpldt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
fof(f2573,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X3,sdtmndt0(sdtpldt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtmndt0(sdtpldt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_96
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2569]) ).
fof(f2569,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3))
| sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X3,sdtmndt0(sdtpldt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtmndt0(sdtpldt0(X0,X1),X2))
| ~ aElement0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3))
| ~ aElementOf0(sK2(sdtmndt0(sdtpldt0(X0,X1),X2),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_96
| ~ spl6_196 ),
inference(resolution,[],[f2559,f993]) ).
fof(f8729,plain,
( spl6_460
| ~ spl6_101
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2281,f2268,f1083,f8727]) ).
fof(f8727,plain,
( spl6_460
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3),X0)
| sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
fof(f2268,plain,
( spl6_184
<=> ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f2281,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3),X0)
| sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_101
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2277]) ).
fof(f2277,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3),X0)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3))
| sK2(sdtpldt0(sdtmndt0(X0,X1),X2),X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_101
| ~ spl6_184 ),
inference(resolution,[],[f2269,f1084]) ).
fof(f2269,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK2(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(sK2(sdtpldt0(X0,X1),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_184 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f8689,plain,
( spl6_459
| ~ spl6_90
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2334,f2315,f898,f8687]) ).
fof(f8687,plain,
( spl6_459
<=> ! [X0,X3,X2,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
fof(f2334,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_186 ),
inference(resolution,[],[f2316,f899]) ).
fof(f8685,plain,
( spl6_458
| ~ spl6_97
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f2106,f2072,f1006,f8683]) ).
fof(f8683,plain,
( spl6_458
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X3,sdtmndt0(sdtpldt0(X1,X2),X0),sdtmndt0(sdtpldt0(X1,X2),X0))
| aElementOf0(sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
fof(f2072,plain,
( spl6_175
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(X0,X1)),X0)
| sP1(X2,sdtmndt0(X0,X1),sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f2106,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X3,sdtmndt0(sdtpldt0(X1,X2),X0),sdtmndt0(sdtpldt0(X1,X2),X0))
| aElementOf0(sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_175 ),
inference(resolution,[],[f2073,f1007]) ).
fof(f2073,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtmndt0(X0,X1),sdtmndt0(X0,X1)) )
| ~ spl6_175 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f8384,plain,
( ~ spl6_7
| ~ spl6_3
| spl6_144
| ~ spl6_13
| ~ spl6_37
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f2896,f2769,f324,f192,f1550,f146,f164]) ).
fof(f192,plain,
( spl6_13
<=> aElementOf0(xx,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f2769,plain,
( spl6_203
<=> xx = sK2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f2896,plain,
( ~ aElementOf0(xx,xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl6_37
| ~ spl6_203 ),
inference(superposition,[],[f325,f2771]) ).
fof(f2771,plain,
( xx = sK2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_203 ),
inference(avatar_component_clause,[],[f2769]) ).
fof(f8314,plain,
( spl6_457
| ~ spl6_90
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f2552,f2414,f898,f8312]) ).
fof(f8312,plain,
( spl6_457
<=> ! [X0,X3,X2,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3))
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X0
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
fof(f2552,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3))
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X0
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_195 ),
inference(resolution,[],[f2415,f899]) ).
fof(f8310,plain,
( spl6_456
| ~ spl6_90
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f2538,f2406,f898,f8308]) ).
fof(f8308,plain,
( spl6_456
<=> ! [X0,X3,X2,X1] :
( sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0)
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0) = X0
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
fof(f2538,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0)
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0) = X0
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0),X1) )
| ~ spl6_90
| ~ spl6_193 ),
inference(resolution,[],[f2407,f899]) ).
fof(f8306,plain,
( spl6_455
| ~ spl6_90
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f2522,f2402,f898,f8304]) ).
fof(f8304,plain,
( spl6_455
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X3
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
fof(f2522,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X3
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),X4),X1) )
| ~ spl6_90
| ~ spl6_192 ),
inference(resolution,[],[f2403,f899]) ).
fof(f8302,plain,
( spl6_454
| ~ spl6_90
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2482,f2398,f898,f8300]) ).
fof(f8300,plain,
( spl6_454
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X4
| sP1(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
fof(f2482,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X4
| sP1(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2) )
| ~ spl6_90
| ~ spl6_191 ),
inference(resolution,[],[f2399,f899]) ).
fof(f8298,plain,
( spl6_453
| ~ spl6_90
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2466,f2394,f898,f8296]) ).
fof(f8296,plain,
( spl6_453
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
fof(f2466,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4) = X0
| sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X1) )
| ~ spl6_90
| ~ spl6_190 ),
inference(resolution,[],[f2395,f899]) ).
fof(f8294,plain,
( spl6_452
| ~ spl6_90
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2437,f2390,f898,f8292]) ).
fof(f8292,plain,
( spl6_452
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).
fof(f2437,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)) = X0
| sP0(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2) )
| ~ spl6_90
| ~ spl6_189 ),
inference(resolution,[],[f2391,f899]) ).
fof(f8290,plain,
( spl6_451
| ~ spl6_97
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2258,f2153,f1006,f8288]) ).
fof(f8288,plain,
( spl6_451
<=> ! [X0,X3,X2,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3))
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3)) = X0
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
fof(f2153,plain,
( spl6_182
<=> ! [X2,X0,X1] :
( sK4(X0,slcrc0,sdtmndt0(X1,X2)) = X0
| sP0(X0,slcrc0,sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f2258,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3))
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3)) = X0
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_182 ),
inference(resolution,[],[f2154,f1007]) ).
fof(f2154,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,slcrc0,sdtmndt0(X1,X2)),X1)
| sP0(X0,slcrc0,sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| sK4(X0,slcrc0,sdtmndt0(X1,X2)) = X0 )
| ~ spl6_182 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f8286,plain,
( spl6_450
| ~ spl6_97
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2246,f2149,f1006,f8284]) ).
fof(f8284,plain,
( spl6_450
<=> ! [X0,X3,X2,X1] :
( sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
fof(f2149,plain,
( spl6_181
<=> ! [X2,X0,X1] :
( sK4(X0,sdtmndt0(X1,X2),slcrc0) = X0
| sP0(X0,sdtmndt0(X1,X2),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),slcrc0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f2246,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_181 ),
inference(resolution,[],[f2150,f1007]) ).
fof(f2150,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),slcrc0),X1)
| sP0(X0,sdtmndt0(X1,X2),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| sK4(X0,sdtmndt0(X1,X2),slcrc0) = X0 )
| ~ spl6_181 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f8281,plain,
( spl6_449
| ~ spl6_97
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2232,f2145,f1006,f8279]) ).
fof(f8279,plain,
( spl6_449
<=> ! [X0,X3,X2,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
fof(f2145,plain,
( spl6_180
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,slcrc0,sdtpldt0(X1,X2)),X1)
| sK5(X0,slcrc0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,slcrc0,sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f2232,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,slcrc0,sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_180 ),
inference(resolution,[],[f2146,f1007]) ).
fof(f2146,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,slcrc0,sdtpldt0(X1,X2)),X1)
| sK5(X0,slcrc0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,slcrc0,sdtpldt0(X1,X2)) )
| ~ spl6_180 ),
inference(avatar_component_clause,[],[f2145]) ).
fof(f8277,plain,
( spl6_448
| ~ spl6_97
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2220,f2141,f1006,f8275]) ).
fof(f8275,plain,
( spl6_448
<=> ! [X0,X3,X2,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
fof(f2141,plain,
( spl6_179
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),slcrc0),X1)
| sK5(X0,sdtpldt0(X1,X2),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtpldt0(X1,X2),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f2220,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_179 ),
inference(resolution,[],[f2142,f1007]) ).
fof(f2142,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),slcrc0),X1)
| sK5(X0,sdtpldt0(X1,X2),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtpldt0(X1,X2),slcrc0) )
| ~ spl6_179 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f8273,plain,
( spl6_447
| ~ spl6_97
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2203,f2137,f1006,f8271]) ).
fof(f8271,plain,
( spl6_447
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
fof(f2137,plain,
( spl6_178
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),X3),X0)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),X3),X3)
| sP1(X2,sdtmndt0(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f2203,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4)
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4),X1)
| sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),X4) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_178 ),
inference(resolution,[],[f2138,f1007]) ).
fof(f2138,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X2,sdtmndt0(X0,X1),X3),X3)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtmndt0(X0,X1),X3) )
| ~ spl6_178 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f8269,plain,
( spl6_446
| ~ spl6_97
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2172,f2133,f1006,f8267]) ).
fof(f8267,plain,
( spl6_446
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sP1(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
fof(f2133,plain,
( spl6_177
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,X3,sdtmndt0(X0,X1)),X0)
| aElementOf0(sK5(X2,X3,sdtmndt0(X0,X1)),X3)
| sP1(X2,X3,sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f2172,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| sP1(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4))
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)),X2)
| sK5(X0,X1,sdtmndt0(sdtpldt0(X2,X3),X4)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_97
| ~ spl6_177 ),
inference(resolution,[],[f2134,f1007]) ).
fof(f2134,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X2,X3,sdtmndt0(X0,X1)),X3)
| aElementOf0(sK5(X2,X3,sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_177 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f8206,plain,
( spl6_445
| ~ spl6_185
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2579,f2558,f2289,f8204]) ).
fof(f8204,plain,
( spl6_445
<=> ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)))
| sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1))
| sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
fof(f2579,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)))
| sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1))
| sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)) = X2
| ~ aElement0(X2) )
| ~ spl6_185
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2563]) ).
fof(f2563,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)))
| sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1))
| sK2(sdtmndt0(X0,X1),sdtpldt0(X0,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_185
| ~ spl6_196 ),
inference(resolution,[],[f2559,f2290]) ).
fof(f8202,plain,
( spl6_444
| ~ spl6_96
| ~ spl6_188 ),
inference(avatar_split_clause,[],[f2377,f2352,f992,f8200]) ).
fof(f8200,plain,
( spl6_444
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
fof(f2377,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_188 ),
inference(duplicate_literal_removal,[],[f2375]) ).
fof(f2375,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElement0(X4)
| ~ aSet0(sdtpldt0(X2,X3))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X1)
| sP0(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2) )
| ~ spl6_96
| ~ spl6_188 ),
inference(resolution,[],[f2353,f993]) ).
fof(f8198,plain,
( spl6_443
| ~ spl6_97
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2123,f2116,f1006,f8196]) ).
fof(f8196,plain,
( spl6_443
<=> ! [X2,X0,X1] :
( sK3(sdtpldt0(sdtpldt0(X0,X1),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| slcrc0 = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aSet0(sdtpldt0(sdtpldt0(X0,X1),X2))
| aElementOf0(sK3(sdtpldt0(sdtpldt0(X0,X1),X2)),X0)
| sK3(sdtpldt0(sdtpldt0(X0,X1),X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).
fof(f2116,plain,
( spl6_176
<=> ! [X0,X1] :
( aElementOf0(sK3(sdtpldt0(X0,X1)),X0)
| sK3(sdtpldt0(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| slcrc0 = sdtpldt0(X0,X1)
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f2123,plain,
( ! [X2,X0,X1] :
( sK3(sdtpldt0(sdtpldt0(X0,X1),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| slcrc0 = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aSet0(sdtpldt0(sdtpldt0(X0,X1),X2))
| aElementOf0(sK3(sdtpldt0(sdtpldt0(X0,X1),X2)),X0)
| sK3(sdtpldt0(sdtpldt0(X0,X1),X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_97
| ~ spl6_176 ),
inference(resolution,[],[f2117,f1007]) ).
fof(f2117,plain,
( ! [X0,X1] :
( aElementOf0(sK3(sdtpldt0(X0,X1)),X0)
| sK3(sdtpldt0(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| slcrc0 = sdtpldt0(X0,X1)
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_176 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f8194,plain,
( ~ spl6_441
| spl6_442
| spl6_35
| ~ spl6_366 ),
inference(avatar_split_clause,[],[f6119,f5968,f315,f8192,f8188]) ).
fof(f8188,plain,
( spl6_441
<=> aElement0(sK3(slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).
fof(f8192,plain,
( spl6_442
<=> ! [X0] : slcrc0 = sdtmndt0(slcrc0,sK4(sK3(slcrc0),X0,sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).
fof(f315,plain,
( spl6_35
<=> aElementOf0(sK3(slcrc0),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f5968,plain,
( spl6_366
<=> ! [X0,X1] :
( ~ aElement0(X0)
| slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
fof(f6119,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(slcrc0,sK4(sK3(slcrc0),X0,sdtmndt0(xS,xx)))
| ~ aElement0(sK3(slcrc0)) )
| spl6_35
| ~ spl6_366 ),
inference(resolution,[],[f5969,f317]) ).
fof(f317,plain,
( ~ aElementOf0(sK3(slcrc0),xS)
| spl6_35 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f5969,plain,
( ! [X0,X1] :
( aElementOf0(X0,xS)
| slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| ~ aElement0(X0) )
| ~ spl6_366 ),
inference(avatar_component_clause,[],[f5968]) ).
fof(f8048,plain,
( spl6_440
| ~ spl6_90
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2426,f2390,f898,f8046]) ).
fof(f8046,plain,
( spl6_440
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)) = X0
| sP0(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).
fof(f2426,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)) = X0
| sP0(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X1) )
| ~ spl6_90
| ~ spl6_189 ),
inference(resolution,[],[f2391,f899]) ).
fof(f8044,plain,
( spl6_439
| ~ spl6_97
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2192,f2137,f1006,f8042]) ).
fof(f8042,plain,
( spl6_439
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X3)
| sK5(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
fof(f2192,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4))
| aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)),X3)
| sK5(X0,sdtmndt0(X1,X2),sdtpldt0(X3,X4)) = X4
| ~ aElement0(X4)
| ~ aSet0(X3) )
| ~ spl6_97
| ~ spl6_178 ),
inference(resolution,[],[f2138,f1007]) ).
fof(f8040,plain,
( spl6_438
| ~ spl6_97
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2161,f2133,f1006,f8038]) ).
fof(f8038,plain,
( spl6_438
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sP1(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).
fof(f2161,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sP1(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtmndt0(X3,X4)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_177 ),
inference(resolution,[],[f2134,f1007]) ).
fof(f7966,plain,
( spl6_437
| ~ spl6_90
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2303,f2289,f898,f7964]) ).
fof(f7964,plain,
( spl6_437
<=> ! [X0,X3,X2,X1] :
( sK2(X0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(X1,X2),X3),X0)
| ~ aSet0(sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).
fof(f2303,plain,
( ! [X2,X3,X0,X1] :
( sK2(X0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(X1,X2),X3),X0)
| ~ aSet0(sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_185 ),
inference(resolution,[],[f2290,f899]) ).
fof(f7962,plain,
( spl6_436
| ~ spl6_97
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2080,f2068,f1006,f7960]) ).
fof(f7960,plain,
( spl6_436
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| aSubsetOf0(sdtmndt0(sdtpldt0(X1,X2),X0),X3)
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aSet0(X3)
| aElementOf0(sK2(X3,sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK2(X3,sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).
fof(f2068,plain,
( spl6_174
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK2(X2,sdtmndt0(X0,X1)),X0)
| aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f2080,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| aSubsetOf0(sdtmndt0(sdtpldt0(X1,X2),X0),X3)
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aSet0(X3)
| aElementOf0(sK2(X3,sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK2(X3,sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_174 ),
inference(resolution,[],[f2069,f1007]) ).
fof(f2069,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK2(X2,sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X2) )
| ~ spl6_174 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f7922,plain,
( spl6_435
| ~ spl6_96
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2280,f2268,f992,f7920]) ).
fof(f7920,plain,
( spl6_435
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3))
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X3,sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).
fof(f2280,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3))
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X3,sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_96
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2278]) ).
fof(f2278,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3))
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X3,sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aSet0(X3)
| ~ aSet0(sdtpldt0(sdtpldt0(X0,X1),X2))
| ~ aElement0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3))
| ~ aElementOf0(sK2(sdtpldt0(sdtpldt0(X0,X1),X2),X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_96
| ~ spl6_184 ),
inference(resolution,[],[f2269,f993]) ).
fof(f7885,plain,
( spl6_434
| ~ spl6_90
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2128,f2116,f898,f7883]) ).
fof(f7883,plain,
( spl6_434
<=> ! [X2,X0,X1] :
( sK3(sdtpldt0(sdtmndt0(X0,X1),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| slcrc0 = sdtpldt0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK3(sdtpldt0(sdtmndt0(X0,X1),X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).
fof(f2128,plain,
( ! [X2,X0,X1] :
( sK3(sdtpldt0(sdtmndt0(X0,X1),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X0,X1))
| slcrc0 = sdtpldt0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtpldt0(sdtmndt0(X0,X1),X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK3(sdtpldt0(sdtmndt0(X0,X1),X2)),X0) )
| ~ spl6_90
| ~ spl6_176 ),
inference(resolution,[],[f2117,f899]) ).
fof(f7881,plain,
( spl6_433
| ~ spl6_97
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f1996,f1989,f1006,f7879]) ).
fof(f7879,plain,
( spl6_433
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| slcrc0 = sdtmndt0(sdtpldt0(X1,X2),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| aElementOf0(sK3(sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK3(sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).
fof(f1989,plain,
( spl6_171
<=> ! [X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK3(sdtmndt0(X0,X1)),X0)
| slcrc0 = sdtmndt0(X0,X1)
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f1996,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| slcrc0 = sdtmndt0(sdtpldt0(X1,X2),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| aElementOf0(sK3(sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK3(sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_171 ),
inference(resolution,[],[f1990,f1007]) ).
fof(f1990,plain,
( ! [X0,X1] :
( aElementOf0(sK3(sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| slcrc0 = sdtmndt0(X0,X1)
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_171 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f7647,plain,
( spl6_432
| ~ spl6_174
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2580,f2558,f2068,f7645]) ).
fof(f7645,plain,
( spl6_432
<=> ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X2)))
| sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).
fof(f2580,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X2)))
| sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X2) )
| ~ spl6_174
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2562]) ).
fof(f2562,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X2)))
| sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X2)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X2)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_174
| ~ spl6_196 ),
inference(resolution,[],[f2559,f2069]) ).
fof(f7643,plain,
( spl6_431
| ~ spl6_184
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2312,f2289,f2268,f7641]) ).
fof(f7641,plain,
( spl6_431
<=> ! [X2,X0,X1] :
( sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).
fof(f2312,plain,
( ! [X2,X0,X1] :
( sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aElement0(X1) )
| ~ spl6_184
| ~ spl6_185 ),
inference(duplicate_literal_removal,[],[f2293]) ).
fof(f2293,plain,
( ! [X2,X0,X1] :
( sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_184
| ~ spl6_185 ),
inference(resolution,[],[f2290,f2269]) ).
fof(f7639,plain,
( spl6_430
| ~ spl6_90
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2262,f2153,f898,f7637]) ).
fof(f7637,plain,
( spl6_430
<=> ! [X0,X3,X2,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X3)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).
fof(f2262,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X3)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_182 ),
inference(resolution,[],[f2154,f899]) ).
fof(f7635,plain,
( spl6_429
| ~ spl6_90
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2250,f2149,f898,f7633]) ).
fof(f7633,plain,
( spl6_429
<=> ! [X0,X3,X2,X1] :
( sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),slcrc0)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),slcrc0) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),slcrc0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).
fof(f2250,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),slcrc0)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),slcrc0) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),slcrc0),X1) )
| ~ spl6_90
| ~ spl6_181 ),
inference(resolution,[],[f2150,f899]) ).
fof(f7631,plain,
( ~ spl6_14
| ~ spl6_406 ),
inference(avatar_contradiction_clause,[],[f7629]) ).
fof(f7629,plain,
( $false
| ~ spl6_14
| ~ spl6_406 ),
inference(resolution,[],[f7097,f198]) ).
fof(f198,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl6_14
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f7097,plain,
( aElementOf0(xx,slcrc0)
| ~ spl6_406 ),
inference(avatar_component_clause,[],[f7095]) ).
fof(f7095,plain,
( spl6_406
<=> aElementOf0(xx,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).
fof(f7628,plain,
( spl6_428
| ~ spl6_90
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2237,f2145,f898,f7626]) ).
fof(f7626,plain,
( spl6_428
<=> ! [X0,X3,X2,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).
fof(f2237,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_180 ),
inference(resolution,[],[f2146,f899]) ).
fof(f7624,plain,
( spl6_427
| ~ spl6_90
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2224,f2141,f898,f7622]) ).
fof(f7622,plain,
( spl6_427
<=> ! [X0,X3,X2,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).
fof(f2224,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0) = X3
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),slcrc0),X1) )
| ~ spl6_90
| ~ spl6_179 ),
inference(resolution,[],[f2142,f899]) ).
fof(f7620,plain,
( spl6_426
| ~ spl6_90
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2208,f2137,f898,f7618]) ).
fof(f7618,plain,
( spl6_426
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).
fof(f2208,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X4)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),X4),X1) )
| ~ spl6_90
| ~ spl6_178 ),
inference(resolution,[],[f2138,f899]) ).
fof(f7616,plain,
( spl6_425
| ~ spl6_90
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2176,f2133,f898,f7614]) ).
fof(f7614,plain,
( spl6_425
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sP1(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).
fof(f2176,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X1)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X2,X3))
| sP1(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(X2,X3),X4)),X2) )
| ~ spl6_90
| ~ spl6_177 ),
inference(resolution,[],[f2134,f899]) ).
fof(f7612,plain,
( spl6_424
| ~ spl6_97
| ~ spl6_167 ),
inference(avatar_split_clause,[],[f1923,f1903,f1006,f7610]) ).
fof(f7610,plain,
( spl6_424
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X3,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X0))
| aElementOf0(sK5(X3,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK5(X3,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).
fof(f1903,plain,
( spl6_167
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,slcrc0,sdtmndt0(X0,X1)),X0)
| sP1(X2,slcrc0,sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f1923,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X3,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X0))
| aElementOf0(sK5(X3,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X0)),X1)
| sK5(X3,slcrc0,sdtmndt0(sdtpldt0(X1,X2),X0)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_167 ),
inference(resolution,[],[f1904,f1007]) ).
fof(f1904,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,slcrc0,sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,slcrc0,sdtmndt0(X0,X1)) )
| ~ spl6_167 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f7608,plain,
( spl6_423
| ~ spl6_97
| ~ spl6_166 ),
inference(avatar_split_clause,[],[f1911,f1899,f1006,f7606]) ).
fof(f7606,plain,
( spl6_423
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X3,sdtmndt0(sdtpldt0(X1,X2),X0),slcrc0)
| aElementOf0(sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),slcrc0),X1)
| sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).
fof(f1899,plain,
( spl6_166
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),slcrc0),X0)
| sP1(X2,sdtmndt0(X0,X1),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f1911,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X3,sdtmndt0(sdtpldt0(X1,X2),X0),slcrc0)
| aElementOf0(sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),slcrc0),X1)
| sK5(X3,sdtmndt0(sdtpldt0(X1,X2),X0),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_166 ),
inference(resolution,[],[f1900,f1007]) ).
fof(f1900,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,sdtmndt0(X0,X1),slcrc0),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtmndt0(X0,X1),slcrc0) )
| ~ spl6_166 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f7534,plain,
( spl6_422
| ~ spl6_90
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2165,f2133,f898,f7532]) ).
fof(f7532,plain,
( spl6_422
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sP1(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).
fof(f2165,plain,
( ! [X2,X3,X0,X1,X4] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X3)
| ~ aElement0(X4)
| ~ aSet0(X3)
| sP1(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtmndt0(X3,X4)),X1) )
| ~ spl6_90
| ~ spl6_177 ),
inference(resolution,[],[f2134,f899]) ).
fof(f7530,plain,
( spl6_421
| ~ spl6_90
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f2110,f2072,f898,f7528]) ).
fof(f7528,plain,
( spl6_421
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X3,sdtmndt0(sdtmndt0(X1,X2),X0),sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X3,sdtmndt0(sdtmndt0(X1,X2),X0),sdtmndt0(sdtmndt0(X1,X2),X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).
fof(f2110,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X3,sdtmndt0(sdtmndt0(X1,X2),X0),sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X3,sdtmndt0(sdtmndt0(X1,X2),X0),sdtmndt0(sdtmndt0(X1,X2),X0)),X1) )
| ~ spl6_90
| ~ spl6_175 ),
inference(resolution,[],[f2073,f899]) ).
fof(f7479,plain,
( ~ spl6_51
| spl6_378
| spl6_420
| ~ spl6_25
| ~ spl6_379 ),
inference(avatar_split_clause,[],[f7353,f6211,f256,f7476,f6207,f512]) ).
fof(f512,plain,
( spl6_51
<=> aSet0(sdtpldt0(slcrc0,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f6207,plain,
( spl6_378
<=> slcrc0 = sdtpldt0(slcrc0,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
fof(f7476,plain,
( spl6_420
<=> aElementOf0(xx,sdtpldt0(slcrc0,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).
fof(f256,plain,
( spl6_25
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK3(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f6211,plain,
( spl6_379
<=> xx = sK3(sdtpldt0(slcrc0,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).
fof(f7353,plain,
( aElementOf0(xx,sdtpldt0(slcrc0,xx))
| slcrc0 = sdtpldt0(slcrc0,xx)
| ~ aSet0(sdtpldt0(slcrc0,xx))
| ~ spl6_25
| ~ spl6_379 ),
inference(superposition,[],[f257,f6213]) ).
fof(f6213,plain,
( xx = sK3(sdtpldt0(slcrc0,xx))
| ~ spl6_379 ),
inference(avatar_component_clause,[],[f6211]) ).
fof(f257,plain,
( ! [X0] :
( aElementOf0(sK3(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f7405,plain,
( spl6_419
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2746,f2681,f7403]) ).
fof(f7403,plain,
( spl6_419
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtpldt0(X1,X2),X1) = X2
| sK4(X0,sdtpldt0(X1,X2),X1) = X0
| sP0(X0,sdtpldt0(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).
fof(f2746,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtpldt0(X1,X2),X1) = X2
| sK4(X0,sdtpldt0(X1,X2),X1) = X0
| sP0(X0,sdtpldt0(X1,X2),X1) )
| ~ spl6_200 ),
inference(factoring,[],[f2682]) ).
fof(f7387,plain,
( ~ spl6_9
| spl6_418
| ~ spl6_14
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2734,f2681,f197,f7385,f174]) ).
fof(f174,plain,
( spl6_9
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f7385,plain,
( spl6_418
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(slcrc0,X1),X2),X2)
| sP0(X0,sdtpldt0(slcrc0,X1),X2)
| sK4(X0,sdtpldt0(slcrc0,X1),X2) = X0
| sK4(X0,sdtpldt0(slcrc0,X1),X2) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).
fof(f2734,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(slcrc0,X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sK4(X0,sdtpldt0(slcrc0,X1),X2) = X1
| sK4(X0,sdtpldt0(slcrc0,X1),X2) = X0
| sP0(X0,sdtpldt0(slcrc0,X1),X2) )
| ~ spl6_14
| ~ spl6_200 ),
inference(resolution,[],[f2682,f198]) ).
fof(f7383,plain,
( spl6_417
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2714,f2677,f7381]) ).
fof(f7381,plain,
( spl6_417
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,X1,sdtpldt0(X1,X2)) = X2
| sK4(X0,X1,sdtpldt0(X1,X2)) = X0
| sP0(X0,X1,sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
fof(f2714,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,X1,sdtpldt0(X1,X2)) = X2
| sK4(X0,X1,sdtpldt0(X1,X2)) = X0
| sP0(X0,X1,sdtpldt0(X1,X2)) )
| ~ spl6_199 ),
inference(factoring,[],[f2678]) ).
fof(f7361,plain,
( ~ spl6_9
| spl6_416
| ~ spl6_14
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2690,f2677,f197,f7359,f174]) ).
fof(f7359,plain,
( spl6_416
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(slcrc0,X2)),X1)
| sP0(X0,X1,sdtpldt0(slcrc0,X2))
| sK4(X0,X1,sdtpldt0(slcrc0,X2)) = X0
| sK4(X0,X1,sdtpldt0(slcrc0,X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).
fof(f2690,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(slcrc0,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| sK4(X0,X1,sdtpldt0(slcrc0,X2)) = X2
| sK4(X0,X1,sdtpldt0(slcrc0,X2)) = X0
| sP0(X0,X1,sdtpldt0(slcrc0,X2)) )
| ~ spl6_14
| ~ spl6_199 ),
inference(resolution,[],[f2678,f198]) ).
fof(f7357,plain,
( spl6_415
| ~ spl6_90
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2085,f2068,f898,f7355]) ).
fof(f7355,plain,
( spl6_415
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| aSubsetOf0(sdtmndt0(sdtmndt0(X1,X2),X0),X3)
| ~ aSet0(sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK2(X3,sdtmndt0(sdtmndt0(X1,X2),X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).
fof(f2085,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| aSubsetOf0(sdtmndt0(sdtmndt0(X1,X2),X0),X3)
| ~ aSet0(sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK2(X3,sdtmndt0(sdtmndt0(X1,X2),X0)),X1) )
| ~ spl6_90
| ~ spl6_174 ),
inference(resolution,[],[f2069,f899]) ).
fof(f7331,plain,
( spl6_414
| ~ spl6_90
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2000,f1989,f898,f7329]) ).
fof(f7329,plain,
( spl6_414
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| slcrc0 = sdtmndt0(sdtmndt0(X1,X2),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK3(sdtmndt0(sdtmndt0(X1,X2),X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).
fof(f2000,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| slcrc0 = sdtmndt0(sdtmndt0(X1,X2),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK3(sdtmndt0(sdtmndt0(X1,X2),X0)),X1) )
| ~ spl6_90
| ~ spl6_171 ),
inference(resolution,[],[f1990,f899]) ).
fof(f7317,plain,
( spl6_413
| ~ spl6_174
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2286,f2268,f2068,f7315]) ).
fof(f7315,plain,
( spl6_413
<=> ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),sdtmndt0(X0,X2)))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).
fof(f2286,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),sdtmndt0(X0,X2)))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X2) )
| ~ spl6_174
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2272]) ).
fof(f2272,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),sdtmndt0(X0,X2)))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X2)
| ~ aSet0(X0)
| aSubsetOf0(sdtmndt0(X0,X2),sdtpldt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X2))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_174
| ~ spl6_184 ),
inference(resolution,[],[f2269,f2069]) ).
fof(f7271,plain,
( spl6_412
| ~ spl6_90
| ~ spl6_167 ),
inference(avatar_split_clause,[],[f1927,f1903,f898,f7269]) ).
fof(f7269,plain,
( spl6_412
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X3,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X3,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).
fof(f1927,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X3,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X0))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X3,slcrc0,sdtmndt0(sdtmndt0(X1,X2),X0)),X1) )
| ~ spl6_90
| ~ spl6_167 ),
inference(resolution,[],[f1904,f899]) ).
fof(f7267,plain,
( spl6_411
| ~ spl6_90
| ~ spl6_166 ),
inference(avatar_split_clause,[],[f1915,f1899,f898,f7265]) ).
fof(f7265,plain,
( spl6_411
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X3,sdtmndt0(sdtmndt0(X1,X2),X0),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X3,sdtmndt0(sdtmndt0(X1,X2),X0),slcrc0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).
fof(f1915,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X3,sdtmndt0(sdtmndt0(X1,X2),X0),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X3,sdtmndt0(sdtmndt0(X1,X2),X0),slcrc0),X1) )
| ~ spl6_90
| ~ spl6_166 ),
inference(resolution,[],[f1900,f899]) ).
fof(f7207,plain,
( spl6_410
| ~ spl6_97
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f1978,f1937,f1006,f7205]) ).
fof(f7205,plain,
( spl6_410
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).
fof(f1937,plain,
( spl6_169
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f1978,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_169 ),
inference(resolution,[],[f1938,f1007]) ).
fof(f1938,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) )
| ~ spl6_169 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f7203,plain,
( spl6_409
| ~ spl6_97
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f1951,f1933,f1006,f7201]) ).
fof(f7201,plain,
( spl6_409
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).
fof(f1933,plain,
( spl6_168
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f1951,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_168 ),
inference(resolution,[],[f1934,f1007]) ).
fof(f1934,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_168 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f7111,plain,
( spl6_408
| ~ spl6_36
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2581,f2558,f320,f7109]) ).
fof(f7109,plain,
( spl6_408
<=> ! [X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),X0))
| sK2(sdtmndt0(X0,X1),X0) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).
fof(f320,plain,
( spl6_36
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK2(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f2581,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),X0))
| sK2(sdtmndt0(X0,X1),X0) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_36
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2561]) ).
fof(f2561,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtmndt0(X0,X1),X0))
| sK2(sdtmndt0(X0,X1),X0) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(X0,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_36
| ~ spl6_196 ),
inference(resolution,[],[f2559,f321]) ).
fof(f321,plain,
( ! [X0,X1] :
( aElementOf0(sK2(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f7102,plain,
( ~ spl6_9
| spl6_407
| ~ spl6_14
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f2544,f2414,f197,f7100,f174]) ).
fof(f7100,plain,
( spl6_407
<=> ! [X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(slcrc0,X1))
| ~ aElement0(X1)
| sK4(X0,slcrc0,sdtpldt0(slcrc0,X1)) = X1
| sK4(X0,slcrc0,sdtpldt0(slcrc0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).
fof(f2544,plain,
( ! [X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(slcrc0,X1))
| sK4(X0,slcrc0,sdtpldt0(slcrc0,X1)) = X0
| sK4(X0,slcrc0,sdtpldt0(slcrc0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0) )
| ~ spl6_14
| ~ spl6_195 ),
inference(resolution,[],[f2415,f198]) ).
fof(f7098,plain,
( ~ spl6_11
| ~ spl6_9
| spl6_406
| ~ spl6_71
| ~ spl6_378 ),
inference(avatar_split_clause,[],[f6310,f6207,f700,f7095,f174,f183]) ).
fof(f183,plain,
( spl6_11
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f700,plain,
( spl6_71
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f6310,plain,
( aElementOf0(xx,slcrc0)
| ~ aSet0(slcrc0)
| ~ aElement0(xx)
| ~ spl6_71
| ~ spl6_378 ),
inference(superposition,[],[f701,f6209]) ).
fof(f6209,plain,
( slcrc0 = sdtpldt0(slcrc0,xx)
| ~ spl6_378 ),
inference(avatar_component_clause,[],[f6207]) ).
fof(f701,plain,
( ! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f7087,plain,
( ~ spl6_9
| spl6_405
| ~ spl6_14
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f2531,f2406,f197,f7085,f174]) ).
fof(f7085,plain,
( spl6_405
<=> ! [X0,X1] :
( sP0(X0,sdtpldt0(slcrc0,X1),slcrc0)
| ~ aElement0(X1)
| sK4(X0,sdtpldt0(slcrc0,X1),slcrc0) = X1
| sK4(X0,sdtpldt0(slcrc0,X1),slcrc0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).
fof(f2531,plain,
( ! [X0,X1] :
( sP0(X0,sdtpldt0(slcrc0,X1),slcrc0)
| sK4(X0,sdtpldt0(slcrc0,X1),slcrc0) = X0
| sK4(X0,sdtpldt0(slcrc0,X1),slcrc0) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0) )
| ~ spl6_14
| ~ spl6_193 ),
inference(resolution,[],[f2407,f198]) ).
fof(f7083,plain,
( spl6_404
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f2526,f2402,f7081]) ).
fof(f7081,plain,
( spl6_404
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtpldt0(X1,X2),X1) = X2
| sP1(X0,sdtpldt0(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).
fof(f2526,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtpldt0(X1,X2),X1) = X2
| sP1(X0,sdtpldt0(X1,X2),X1) )
| ~ spl6_192 ),
inference(factoring,[],[f2403]) ).
fof(f7064,plain,
( ~ spl6_9
| spl6_403
| ~ spl6_14
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f2514,f2402,f197,f7062,f174]) ).
fof(f7062,plain,
( spl6_403
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(slcrc0,X1),X2),X2)
| sP1(X0,sdtpldt0(slcrc0,X1),X2)
| sK5(X0,sdtpldt0(slcrc0,X1),X2) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
fof(f2514,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(slcrc0,X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sK5(X0,sdtpldt0(slcrc0,X1),X2) = X1
| sP1(X0,sdtpldt0(slcrc0,X1),X2) )
| ~ spl6_14
| ~ spl6_192 ),
inference(resolution,[],[f2403,f198]) ).
fof(f7060,plain,
( spl6_402
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2497,f2398,f7058]) ).
fof(f7058,plain,
( spl6_402
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,X1,sdtpldt0(X1,X2)) = X2
| sP1(X0,X1,sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
fof(f2497,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,X1,sdtpldt0(X1,X2)) = X2
| sP1(X0,X1,sdtpldt0(X1,X2)) )
| ~ spl6_191 ),
inference(factoring,[],[f2399]) ).
fof(f7037,plain,
( ~ spl6_9
| spl6_401
| ~ spl6_14
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2474,f2398,f197,f7035,f174]) ).
fof(f7035,plain,
( spl6_401
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(slcrc0,X2)),X1)
| sP1(X0,X1,sdtpldt0(slcrc0,X2))
| sK5(X0,X1,sdtpldt0(slcrc0,X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
fof(f2474,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(slcrc0,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| sK5(X0,X1,sdtpldt0(slcrc0,X2)) = X2
| sP1(X0,X1,sdtpldt0(slcrc0,X2)) )
| ~ spl6_14
| ~ spl6_191 ),
inference(resolution,[],[f2399,f198]) ).
fof(f7033,plain,
( spl6_400
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2470,f2394,f7031]) ).
fof(f7031,plain,
( spl6_400
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtmndt0(X1,X2),X1) = X0
| sP0(X0,sdtmndt0(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
fof(f2470,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtmndt0(X1,X2),X1) = X0
| sP0(X0,sdtmndt0(X1,X2),X1) )
| ~ spl6_190 ),
inference(factoring,[],[f2395]) ).
fof(f7012,plain,
( ~ spl6_9
| spl6_399
| ~ spl6_14
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2458,f2394,f197,f7010,f174]) ).
fof(f7010,plain,
( spl6_399
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(slcrc0,X1),X2),X2)
| sP0(X0,sdtmndt0(slcrc0,X1),X2)
| sK4(X0,sdtmndt0(slcrc0,X1),X2) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
fof(f2458,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(slcrc0,X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sK4(X0,sdtmndt0(slcrc0,X1),X2) = X0
| sP0(X0,sdtmndt0(slcrc0,X1),X2) )
| ~ spl6_14
| ~ spl6_190 ),
inference(resolution,[],[f2395,f198]) ).
fof(f7008,plain,
( spl6_398
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2440,f2390,f7006]) ).
fof(f7006,plain,
( spl6_398
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,X1,sdtmndt0(X1,X2)) = X0
| sP0(X0,X1,sdtmndt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
fof(f2440,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,X1,sdtmndt0(X1,X2)) = X0
| sP0(X0,X1,sdtmndt0(X1,X2)) )
| ~ spl6_189 ),
inference(factoring,[],[f2391]) ).
fof(f6983,plain,
( ~ spl6_9
| spl6_397
| ~ spl6_14
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2430,f2390,f197,f6981,f174]) ).
fof(f6981,plain,
( spl6_397
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(slcrc0,X2)),X1)
| sP0(X0,X1,sdtmndt0(slcrc0,X2))
| sK4(X0,X1,sdtmndt0(slcrc0,X2)) = X0
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
fof(f2430,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(slcrc0,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| sK4(X0,X1,sdtmndt0(slcrc0,X2)) = X0
| sP0(X0,X1,sdtmndt0(slcrc0,X2)) )
| ~ spl6_14
| ~ spl6_189 ),
inference(resolution,[],[f2391,f198]) ).
fof(f6765,plain,
( ~ spl6_396
| ~ spl6_378
| spl6_379 ),
inference(avatar_split_clause,[],[f6704,f6211,f6207,f6762]) ).
fof(f6762,plain,
( spl6_396
<=> xx = sK3(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
fof(f6704,plain,
( xx != sK3(slcrc0)
| ~ spl6_378
| spl6_379 ),
inference(superposition,[],[f6212,f6209]) ).
fof(f6212,plain,
( xx != sK3(sdtpldt0(slcrc0,xx))
| spl6_379 ),
inference(avatar_component_clause,[],[f6211]) ).
fof(f6760,plain,
( spl6_395
| ~ spl6_90
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f1983,f1937,f898,f6758]) ).
fof(f6758,plain,
( spl6_395
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
fof(f1983,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_169 ),
inference(resolution,[],[f1938,f899]) ).
fof(f6756,plain,
( spl6_394
| ~ spl6_90
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f1956,f1933,f898,f6754]) ).
fof(f6754,plain,
( spl6_394
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
fof(f1956,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_168 ),
inference(resolution,[],[f1934,f899]) ).
fof(f6752,plain,
( spl6_393
| ~ spl6_97
| ~ spl6_161 ),
inference(avatar_split_clause,[],[f1872,f1790,f1006,f6750]) ).
fof(f6750,plain,
( spl6_393
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
fof(f1790,plain,
( spl6_161
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f1872,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_161 ),
inference(resolution,[],[f1791,f1007]) ).
fof(f1791,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) )
| ~ spl6_161 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f6748,plain,
( spl6_392
| ~ spl6_97
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f1849,f1781,f1006,f6746]) ).
fof(f6746,plain,
( spl6_392
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
fof(f1781,plain,
( spl6_159
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f1849,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_159 ),
inference(resolution,[],[f1782,f1007]) ).
fof(f1782,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_159 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f6744,plain,
( spl6_391
| ~ spl6_97
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1827,f1777,f1006,f6742]) ).
fof(f6742,plain,
( spl6_391
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
fof(f1777,plain,
( spl6_158
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f1827,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_158 ),
inference(resolution,[],[f1778,f1007]) ).
fof(f1778,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)) )
| ~ spl6_158 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f6740,plain,
( spl6_390
| ~ spl6_97
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1804,f1773,f1006,f6738]) ).
fof(f6738,plain,
( spl6_390
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f1773,plain,
( spl6_157
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f1804,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_157 ),
inference(resolution,[],[f1774,f1007]) ).
fof(f1774,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_157 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f6729,plain,
( ~ spl6_9
| spl6_389
| ~ spl6_14
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2326,f2315,f197,f6727,f174]) ).
fof(f6727,plain,
( spl6_389
<=> ! [X0,X1] :
( sK5(X0,sdtpldt0(slcrc0,X1),sdtpldt0(slcrc0,X1)) = X1
| sP1(X0,sdtpldt0(slcrc0,X1),sdtpldt0(slcrc0,X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
fof(f2326,plain,
( ! [X0,X1] :
( sK5(X0,sdtpldt0(slcrc0,X1),sdtpldt0(slcrc0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sP1(X0,sdtpldt0(slcrc0,X1),sdtpldt0(slcrc0,X1)) )
| ~ spl6_14
| ~ spl6_186 ),
inference(resolution,[],[f2316,f198]) ).
fof(f6708,plain,
( ~ spl6_9
| spl6_388
| ~ spl6_14
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2295,f2289,f197,f6706,f174]) ).
fof(f6706,plain,
( spl6_388
<=> ! [X0,X1] :
( sK2(X0,sdtpldt0(slcrc0,X1)) = X1
| ~ aSet0(X0)
| ~ aSet0(sdtpldt0(slcrc0,X1))
| aSubsetOf0(sdtpldt0(slcrc0,X1),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
fof(f2295,plain,
( ! [X0,X1] :
( sK2(X0,sdtpldt0(slcrc0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| aSubsetOf0(sdtpldt0(slcrc0,X1),X0)
| ~ aSet0(sdtpldt0(slcrc0,X1))
| ~ aSet0(X0) )
| ~ spl6_14
| ~ spl6_185 ),
inference(resolution,[],[f2290,f198]) ).
fof(f6684,plain,
( spl6_387
| ~ spl6_37
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2313,f2289,f324,f6682]) ).
fof(f6682,plain,
( spl6_387
<=> ! [X0,X1] :
( sK2(X0,sdtpldt0(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X1),X0)
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
fof(f2313,plain,
( ! [X0,X1] :
( sK2(X0,sdtpldt0(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X1),X0)
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_37
| ~ spl6_185 ),
inference(duplicate_literal_removal,[],[f2292]) ).
fof(f2292,plain,
( ! [X0,X1] :
( sK2(X0,sdtpldt0(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X1),X0)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,X1),X0)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0) )
| ~ spl6_37
| ~ spl6_185 ),
inference(resolution,[],[f2290,f325]) ).
fof(f6276,plain,
( ~ spl6_3
| spl6_386
| ~ spl6_17
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2735,f2681,f214,f6274,f146]) ).
fof(f6274,plain,
( spl6_386
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| xx = sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X0
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
fof(f214,plain,
( spl6_17
<=> ! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f2735,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X1
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X0
| sP0(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) )
| ~ spl6_17
| ~ spl6_200 ),
inference(resolution,[],[f2682,f215]) ).
fof(f215,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0 )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f6245,plain,
( ~ spl6_3
| spl6_385
| ~ spl6_17
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2691,f2677,f214,f6243,f146]) ).
fof(f6243,plain,
( spl6_385
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| xx = sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| sP0(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X0
| sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
fof(f2691,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X2
| sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X0
| sP0(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) )
| ~ spl6_17
| ~ spl6_199 ),
inference(resolution,[],[f2678,f215]) ).
fof(f6234,plain,
( ~ spl6_3
| spl6_384
| ~ spl6_17
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2327,f2315,f214,f6232,f146]) ).
fof(f6232,plain,
( spl6_384
<=> ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| xx = sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
fof(f2327,plain,
( ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_186 ),
inference(resolution,[],[f2316,f215]) ).
fof(f6230,plain,
( spl6_383
| ~ spl6_90
| ~ spl6_161 ),
inference(avatar_split_clause,[],[f1877,f1790,f898,f6228]) ).
fof(f6228,plain,
( spl6_383
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
fof(f1877,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_161 ),
inference(resolution,[],[f1791,f899]) ).
fof(f6226,plain,
( spl6_382
| ~ spl6_90
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f1854,f1781,f898,f6224]) ).
fof(f6224,plain,
( spl6_382
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
fof(f1854,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_159 ),
inference(resolution,[],[f1782,f899]) ).
fof(f6222,plain,
( spl6_381
| ~ spl6_90
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1831,f1777,f898,f6220]) ).
fof(f6220,plain,
( spl6_381
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
fof(f1831,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_158 ),
inference(resolution,[],[f1778,f899]) ).
fof(f6218,plain,
( spl6_380
| ~ spl6_90
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1809,f1773,f898,f6216]) ).
fof(f6216,plain,
( spl6_380
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
fof(f1809,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X3)
| sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_157 ),
inference(resolution,[],[f1774,f899]) ).
fof(f6214,plain,
( ~ spl6_11
| spl6_378
| spl6_379
| ~ spl6_51
| ~ spl6_372 ),
inference(avatar_split_clause,[],[f6177,f6174,f512,f6211,f6207,f183]) ).
fof(f6174,plain,
( spl6_372
<=> ! [X0] :
( sK3(sdtpldt0(slcrc0,X0)) = X0
| ~ aSet0(sdtpldt0(slcrc0,X0))
| slcrc0 = sdtpldt0(slcrc0,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f6177,plain,
( xx = sK3(sdtpldt0(slcrc0,xx))
| slcrc0 = sdtpldt0(slcrc0,xx)
| ~ aElement0(xx)
| ~ spl6_51
| ~ spl6_372 ),
inference(resolution,[],[f6175,f514]) ).
fof(f514,plain,
( aSet0(sdtpldt0(slcrc0,xx))
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f6175,plain,
( ! [X0] :
( ~ aSet0(sdtpldt0(slcrc0,X0))
| sK3(sdtpldt0(slcrc0,X0)) = X0
| slcrc0 = sdtpldt0(slcrc0,X0)
| ~ aElement0(X0) )
| ~ spl6_372 ),
inference(avatar_component_clause,[],[f6174]) ).
fof(f6205,plain,
( spl6_377
| ~ spl6_97
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f1737,f1659,f1006,f6203]) ).
fof(f6203,plain,
( spl6_377
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).
fof(f1659,plain,
( spl6_154
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),xS)
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f1737,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_154 ),
inference(resolution,[],[f1660,f1007]) ).
fof(f1660,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),xS)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X2
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X0 )
| ~ spl6_154 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f6201,plain,
( spl6_376
| ~ spl6_97
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1719,f1655,f1006,f6199]) ).
fof(f6199,plain,
( spl6_376
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).
fof(f1655,plain,
( spl6_153
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),xS)
| sP0(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f1719,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP0(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK4(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_153 ),
inference(resolution,[],[f1656,f1007]) ).
fof(f1656,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),xS)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X2
| sP0(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_153 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f6197,plain,
( spl6_375
| ~ spl6_97
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1695,f1651,f1006,f6195]) ).
fof(f6195,plain,
( spl6_375
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
fof(f1651,plain,
( spl6_152
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)),X0)
| aElementOf0(sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)),sdtmndt0(xS,xx))
| sP1(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1))
| xx = sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f1695,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_152 ),
inference(resolution,[],[f1652,f1007]) ).
fof(f1652,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)),sdtmndt0(xS,xx))
| aElementOf0(sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1))
| xx = sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)) )
| ~ spl6_152 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f6193,plain,
( spl6_374
| ~ spl6_97
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1673,f1647,f1006,f6191]) ).
fof(f6191,plain,
( spl6_374
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
fof(f1647,plain,
( spl6_151
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)),X0)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f1673,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_151 ),
inference(resolution,[],[f1648,f1007]) ).
fof(f1648,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_151 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f6183,plain,
( spl6_373
| ~ spl6_36
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2287,f2268,f320,f6181]) ).
fof(f6181,plain,
( spl6_373
<=> ! [X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),X0))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
fof(f2287,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),X0))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_36
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2271]) ).
fof(f2271,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),X0))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_36
| ~ spl6_184 ),
inference(resolution,[],[f2269,f321]) ).
fof(f6176,plain,
( ~ spl6_9
| spl6_372
| ~ spl6_14
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2120,f2116,f197,f6174,f174]) ).
fof(f2120,plain,
( ! [X0] :
( sK3(sdtpldt0(slcrc0,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(slcrc0)
| slcrc0 = sdtpldt0(slcrc0,X0)
| ~ aSet0(sdtpldt0(slcrc0,X0)) )
| ~ spl6_14
| ~ spl6_176 ),
inference(resolution,[],[f2117,f198]) ).
fof(f6161,plain,
( ~ spl6_1
| spl6_371
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f1985,f1937,f6159,f136]) ).
fof(f136,plain,
( spl6_1
<=> aSet0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f6159,plain,
( spl6_371
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
fof(f1985,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) )
| ~ spl6_169 ),
inference(factoring,[],[f1938]) ).
fof(f6103,plain,
( ~ spl6_1
| spl6_370
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f1959,f1933,f6101,f136]) ).
fof(f6101,plain,
( spl6_370
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
fof(f1959,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X1
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_168 ),
inference(factoring,[],[f1934]) ).
fof(f6044,plain,
( spl6_369
| ~ spl6_97
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1621,f1577,f1006,f6042]) ).
fof(f6042,plain,
( spl6_369
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
fof(f1577,plain,
( spl6_148
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f1621,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_148 ),
inference(resolution,[],[f1578,f1007]) ).
fof(f1578,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_148 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f6040,plain,
( spl6_368
| ~ spl6_97
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1591,f1569,f1006,f6038]) ).
fof(f6038,plain,
( spl6_368
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
fof(f1569,plain,
( spl6_146
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f1591,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_146 ),
inference(resolution,[],[f1570,f1007]) ).
fof(f1570,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_146 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f6014,plain,
( ~ spl6_1
| spl6_367
| ~ spl6_15
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f2804,f2765,f201,f6012,f136]) ).
fof(f6012,plain,
( spl6_367
<=> ! [X2,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| xx = sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| sP1(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElement0(X2)
| sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f201,plain,
( spl6_15
<=> ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f2804,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)))
| sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| sP1(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| xx = sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_15
| ~ spl6_202 ),
inference(duplicate_literal_removal,[],[f2798]) ).
fof(f2798,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)))
| sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| sP1(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| xx = sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| ~ aElement0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))) )
| ~ spl6_15
| ~ spl6_202 ),
inference(resolution,[],[f2766,f202]) ).
fof(f202,plain,
( ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) )
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f5970,plain,
( spl6_366
| ~ spl6_6
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f5475,f5341,f160,f5968]) ).
fof(f5341,plain,
( spl6_344
<=> ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f5475,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| aElementOf0(X0,xS) )
| ~ spl6_6
| ~ spl6_344 ),
inference(resolution,[],[f5342,f161]) ).
fof(f5342,plain,
( ! [X0,X1] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0)
| slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_344 ),
inference(avatar_component_clause,[],[f5341]) ).
fof(f5958,plain,
( ~ spl6_9
| spl6_365
| ~ spl6_14
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2255,f2153,f197,f5956,f174]) ).
fof(f5956,plain,
( spl6_365
<=> ! [X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(slcrc0,X1))
| sK4(X0,slcrc0,sdtmndt0(slcrc0,X1)) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f2255,plain,
( ! [X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(slcrc0,X1))
| ~ aSet0(slcrc0)
| ~ aElement0(X1)
| sK4(X0,slcrc0,sdtmndt0(slcrc0,X1)) = X0 )
| ~ spl6_14
| ~ spl6_182 ),
inference(resolution,[],[f2154,f198]) ).
fof(f5946,plain,
( ~ spl6_9
| spl6_364
| ~ spl6_14
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2243,f2149,f197,f5944,f174]) ).
fof(f5944,plain,
( spl6_364
<=> ! [X0,X1] :
( sP0(X0,sdtmndt0(slcrc0,X1),slcrc0)
| sK4(X0,sdtmndt0(slcrc0,X1),slcrc0) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f2243,plain,
( ! [X0,X1] :
( sP0(X0,sdtmndt0(slcrc0,X1),slcrc0)
| ~ aSet0(slcrc0)
| ~ aElement0(X1)
| sK4(X0,sdtmndt0(slcrc0,X1),slcrc0) = X0 )
| ~ spl6_14
| ~ spl6_181 ),
inference(resolution,[],[f2150,f198]) ).
fof(f5937,plain,
( ~ spl6_9
| spl6_363
| ~ spl6_14
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2229,f2145,f197,f5935,f174]) ).
fof(f5935,plain,
( spl6_363
<=> ! [X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(slcrc0,X1)) = X1
| sP1(X0,slcrc0,sdtpldt0(slcrc0,X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f2229,plain,
( ! [X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(slcrc0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sP1(X0,slcrc0,sdtpldt0(slcrc0,X1)) )
| ~ spl6_14
| ~ spl6_180 ),
inference(resolution,[],[f2146,f198]) ).
fof(f5928,plain,
( ~ spl6_9
| spl6_362
| ~ spl6_14
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2217,f2141,f197,f5926,f174]) ).
fof(f5926,plain,
( spl6_362
<=> ! [X0,X1] :
( sK5(X0,sdtpldt0(slcrc0,X1),slcrc0) = X1
| sP1(X0,sdtpldt0(slcrc0,X1),slcrc0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
fof(f2217,plain,
( ! [X0,X1] :
( sK5(X0,sdtpldt0(slcrc0,X1),slcrc0) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sP1(X0,sdtpldt0(slcrc0,X1),slcrc0) )
| ~ spl6_14
| ~ spl6_179 ),
inference(resolution,[],[f2142,f198]) ).
fof(f5924,plain,
( spl6_361
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2212,f2137,f5922]) ).
fof(f5922,plain,
( spl6_361
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtmndt0(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
fof(f2212,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtmndt0(X1,X2),X1) )
| ~ spl6_178 ),
inference(factoring,[],[f2138]) ).
fof(f5803,plain,
( ~ spl6_9
| spl6_360
| ~ spl6_14
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2200,f2137,f197,f5801,f174]) ).
fof(f2200,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(slcrc0,X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| sP1(X0,sdtmndt0(slcrc0,X1),X2) )
| ~ spl6_14
| ~ spl6_178 ),
inference(resolution,[],[f2138,f198]) ).
fof(f5799,plain,
( spl6_359
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2179,f2133,f5797]) ).
fof(f5797,plain,
( spl6_359
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,X1,sdtmndt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
fof(f2179,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,X1,sdtmndt0(X1,X2)) )
| ~ spl6_177 ),
inference(factoring,[],[f2134]) ).
fof(f5775,plain,
( ~ spl6_9
| spl6_358
| ~ spl6_14
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2169,f2133,f197,f5773,f174]) ).
fof(f2169,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(slcrc0,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| sP1(X0,X1,sdtmndt0(slcrc0,X2)) )
| ~ spl6_14
| ~ spl6_177 ),
inference(resolution,[],[f2134,f198]) ).
fof(f5631,plain,
( spl6_357
| ~ spl6_11
| spl6_2
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f5477,f5341,f141,f183,f5629]) ).
fof(f5629,plain,
( spl6_357
<=> ! [X0] : slcrc0 = sdtmndt0(slcrc0,sK4(xx,X0,sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
fof(f141,plain,
( spl6_2
<=> aElementOf0(xx,sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f5477,plain,
( ! [X0] :
( ~ aElement0(xx)
| slcrc0 = sdtmndt0(slcrc0,sK4(xx,X0,sdtmndt0(xS,xx))) )
| spl6_2
| ~ spl6_344 ),
inference(resolution,[],[f5342,f143]) ).
fof(f143,plain,
( ~ aElementOf0(xx,sdtmndt0(xS,xx))
| spl6_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f5620,plain,
( ~ spl6_3
| spl6_356
| ~ spl6_17
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f2545,f2414,f214,f5618,f146]) ).
fof(f5618,plain,
( spl6_356
<=> ! [X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| xx = sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f2545,plain,
( ! [X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X0
| sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK4(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_195 ),
inference(resolution,[],[f2415,f215]) ).
fof(f5609,plain,
( ~ spl6_3
| spl6_355
| ~ spl6_17
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f2532,f2406,f214,f5607,f146]) ).
fof(f5607,plain,
( spl6_355
<=> ! [X0,X1] :
( sP0(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| xx = sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X1
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
fof(f2532,plain,
( ! [X0,X1] :
( sP0(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X0
| sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) )
| ~ spl6_17
| ~ spl6_193 ),
inference(resolution,[],[f2407,f215]) ).
fof(f5578,plain,
( ~ spl6_3
| spl6_354
| ~ spl6_17
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f2515,f2402,f214,f5576,f146]) ).
fof(f5576,plain,
( spl6_354
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| xx = sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
fof(f2515,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X1
| sP1(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) )
| ~ spl6_17
| ~ spl6_192 ),
inference(resolution,[],[f2403,f215]) ).
fof(f5547,plain,
( ~ spl6_3
| spl6_353
| ~ spl6_17
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2475,f2398,f214,f5545,f146]) ).
fof(f5545,plain,
( spl6_353
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| xx = sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| sP1(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
fof(f2475,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X2
| sP1(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) )
| ~ spl6_17
| ~ spl6_191 ),
inference(resolution,[],[f2399,f215]) ).
fof(f5516,plain,
( ~ spl6_3
| spl6_352
| ~ spl6_17
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2459,f2394,f214,f5514,f146]) ).
fof(f5514,plain,
( spl6_352
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| xx = sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
fof(f2459,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) = X0
| sP0(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) )
| ~ spl6_17
| ~ spl6_190 ),
inference(resolution,[],[f2395,f215]) ).
fof(f5445,plain,
( ~ spl6_3
| spl6_351
| ~ spl6_17
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2431,f2390,f214,f5443,f146]) ).
fof(f5443,plain,
( spl6_351
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| xx = sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| sP0(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X0
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
fof(f2431,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) = X0
| sP0(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) )
| ~ spl6_17
| ~ spl6_189 ),
inference(resolution,[],[f2391,f215]) ).
fof(f5441,plain,
( spl6_350
| ~ spl6_90
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f1742,f1659,f898,f5439]) ).
fof(f5439,plain,
( spl6_350
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
fof(f1742,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_154 ),
inference(resolution,[],[f1660,f899]) ).
fof(f5437,plain,
( spl6_349
| ~ spl6_90
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1723,f1655,f898,f5435]) ).
fof(f5435,plain,
( spl6_349
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
fof(f1723,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP0(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) )
| ~ spl6_90
| ~ spl6_153 ),
inference(resolution,[],[f1656,f899]) ).
fof(f5433,plain,
( spl6_348
| ~ spl6_97
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1538,f1469,f1006,f5431]) ).
fof(f5431,plain,
( spl6_348
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
fof(f1469,plain,
( spl6_143
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f1538,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X3
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_143 ),
inference(resolution,[],[f1470,f1007]) ).
fof(f1470,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),xS)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X2
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) )
| ~ spl6_143 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f5429,plain,
( spl6_347
| ~ spl6_97
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1521,f1465,f1006,f5427]) ).
fof(f5427,plain,
( spl6_347
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f1465,plain,
( spl6_142
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f1521,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP1(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK5(X0,sdtpldt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_142 ),
inference(resolution,[],[f1466,f1007]) ).
fof(f1466,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),xS)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X2
| sP1(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) )
| ~ spl6_142 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f5425,plain,
( spl6_346
| ~ spl6_97
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1504,f1452,f1006,f5423]) ).
fof(f5423,plain,
( spl6_346
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f1452,plain,
( spl6_140
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),X0)
| aElementOf0(sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),xS)
| sP0(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1))
| sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f1504,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_140 ),
inference(resolution,[],[f1453,f1007]) ).
fof(f1453,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),xS)
| aElementOf0(sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP0(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1))
| sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)) = X2 )
| ~ spl6_140 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f5421,plain,
( spl6_345
| ~ spl6_97
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1486,f1448,f1006,f5419]) ).
fof(f5419,plain,
( spl6_345
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f1448,plain,
( spl6_139
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),X0)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),xS)
| sP0(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx))
| sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f1486,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP0(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK4(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_139 ),
inference(resolution,[],[f1449,f1007]) ).
fof(f1449,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),xS)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP0(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx))
| sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)) = X2 )
| ~ spl6_139 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f5343,plain,
( spl6_344
| ~ spl6_28
| ~ spl6_273 ),
inference(avatar_split_clause,[],[f4038,f3774,f268,f5341]) ).
fof(f3774,plain,
( spl6_273
<=> ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f4038,plain,
( ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl6_28
| ~ spl6_273 ),
inference(resolution,[],[f3775,f269]) ).
fof(f3775,plain,
( ! [X0,X1] :
( sP0(X0,X1,sdtmndt0(xS,xx))
| slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_273 ),
inference(avatar_component_clause,[],[f3774]) ).
fof(f5339,plain,
( spl6_343
| ~ spl6_90
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1699,f1651,f898,f5337]) ).
fof(f5337,plain,
( spl6_343
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f1699,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_152 ),
inference(resolution,[],[f1652,f899]) ).
fof(f5335,plain,
( spl6_342
| ~ spl6_90
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1678,f1647,f898,f5333]) ).
fof(f5333,plain,
( spl6_342
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f1678,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_151 ),
inference(resolution,[],[f1648,f899]) ).
fof(f5310,plain,
( ~ spl6_1
| spl6_341
| ~ spl6_15
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f2664,f2590,f201,f5308,f136]) ).
fof(f5308,plain,
( spl6_341
<=> ! [X2,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| xx = sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| sP0(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| ~ aElement0(X2)
| sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f2664,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)))
| sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| sP0(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| xx = sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_15
| ~ spl6_198 ),
inference(duplicate_literal_removal,[],[f2658]) ).
fof(f2658,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)))
| sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| sP0(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| xx = sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| ~ aElement0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))) )
| ~ spl6_15
| ~ spl6_198 ),
inference(resolution,[],[f2591,f202]) ).
fof(f5265,plain,
( ~ spl6_1
| spl6_340
| ~ spl6_15
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f2623,f2583,f201,f5263,f136]) ).
fof(f5263,plain,
( spl6_340
<=> ! [X2,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS)
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f2623,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_15
| ~ spl6_197 ),
inference(duplicate_literal_removal,[],[f2617]) ).
fof(f2617,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))) )
| ~ spl6_15
| ~ spl6_197 ),
inference(resolution,[],[f2584,f202]) ).
fof(f5125,plain,
( ~ spl6_3
| spl6_339
| ~ spl6_17
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2296,f2289,f214,f5123,f146]) ).
fof(f5123,plain,
( spl6_339
<=> ! [X0,X1] :
( sK2(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| xx = sK2(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK2(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| ~ aSet0(X0)
| ~ aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aSubsetOf0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f2296,plain,
( ! [X0,X1] :
( sK2(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X0)
| ~ aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK2(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_185 ),
inference(resolution,[],[f2290,f215]) ).
fof(f5114,plain,
( ~ spl6_3
| spl6_338
| ~ spl6_17
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f2104,f2072,f214,f5112,f146]) ).
fof(f5112,plain,
( spl6_338
<=> ! [X0,X1] :
( ~ aElement0(X0)
| xx = sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| sP1(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
fof(f2104,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| xx = sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_17
| ~ spl6_175 ),
inference(resolution,[],[f2073,f215]) ).
fof(f5099,plain,
( ~ spl6_1
| spl6_337
| ~ spl6_161 ),
inference(avatar_split_clause,[],[f1879,f1790,f5097,f136]) ).
fof(f5097,plain,
( spl6_337
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
fof(f1879,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X1)) )
| ~ spl6_161 ),
inference(factoring,[],[f1791]) ).
fof(f5084,plain,
( ~ spl6_1
| spl6_336
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f1857,f1781,f5082,f136]) ).
fof(f5082,plain,
( spl6_336
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X1
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_159 ),
inference(factoring,[],[f1782]) ).
fof(f5071,plain,
( ~ spl6_1
| spl6_335
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f1834,f1777,f5069,f136]) ).
fof(f5069,plain,
( spl6_335
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1)
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
fof(f1834,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)) )
| ~ spl6_158 ),
inference(factoring,[],[f1778]) ).
fof(f5067,plain,
( spl6_334
| ~ spl6_1
| ~ spl6_113
| ~ spl6_324 ),
inference(avatar_split_clause,[],[f4878,f4863,f1173,f136,f5065]) ).
fof(f5065,plain,
( spl6_334
<=> ! [X0] :
( ~ aSet0(sdtmndt0(slcrc0,X0))
| aSubsetOf0(sdtmndt0(slcrc0,X0),xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
fof(f1173,plain,
( spl6_113
<=> ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f4863,plain,
( spl6_324
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(slcrc0,X0))
| aSubsetOf0(sdtmndt0(slcrc0,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
fof(f4878,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(slcrc0,X0))
| ~ aElement0(X0)
| aSubsetOf0(sdtmndt0(slcrc0,X0),xS) )
| ~ spl6_113
| ~ spl6_324 ),
inference(duplicate_literal_removal,[],[f4871]) ).
fof(f4871,plain,
( ! [X0] :
( ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(slcrc0,X0))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(slcrc0,X0))
| aSubsetOf0(sdtmndt0(slcrc0,X0),xS) )
| ~ spl6_113
| ~ spl6_324 ),
inference(resolution,[],[f4864,f1174]) ).
fof(f1174,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) )
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f4864,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtmndt0(slcrc0,X0),X1)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(slcrc0,X0))
| ~ aElement0(X0) )
| ~ spl6_324 ),
inference(avatar_component_clause,[],[f4863]) ).
fof(f5052,plain,
( ~ spl6_1
| spl6_333
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1812,f1773,f5050,f136]) ).
fof(f5050,plain,
( spl6_333
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| xx = sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
fof(f1812,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_157 ),
inference(factoring,[],[f1774]) ).
fof(f5048,plain,
( spl6_332
| ~ spl6_90
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1625,f1577,f898,f5046]) ).
fof(f5046,plain,
( spl6_332
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
fof(f1625,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1) )
| ~ spl6_90
| ~ spl6_148 ),
inference(resolution,[],[f1578,f899]) ).
fof(f5044,plain,
( spl6_331
| ~ spl6_90
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1596,f1569,f898,f5042]) ).
fof(f5042,plain,
( spl6_331
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
fof(f1596,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_146 ),
inference(resolution,[],[f1570,f899]) ).
fof(f5040,plain,
( spl6_330
| ~ spl6_97
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1388,f1359,f1006,f5038]) ).
fof(f5038,plain,
( spl6_330
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
fof(f1359,plain,
( spl6_133
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f1388,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_133 ),
inference(resolution,[],[f1360,f1007]) ).
fof(f1360,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_133 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f5036,plain,
( spl6_329
| ~ spl6_97
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f1368,f1355,f1006,f5034]) ).
fof(f5034,plain,
( spl6_329
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| xx = sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f1355,plain,
( spl6_132
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f1368,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| xx = sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_132 ),
inference(resolution,[],[f1356,f1007]) ).
fof(f1356,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_132 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f4923,plain,
( spl6_328
| ~ spl6_50
| ~ spl6_149 ),
inference(avatar_split_clause,[],[f1637,f1581,f493,f4921]) ).
fof(f4921,plain,
( spl6_328
<=> ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
fof(f493,plain,
( spl6_50
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK4(X0,X1,X2),X1)
| ~ aElement0(sK4(X0,X1,X2))
| ~ aElementOf0(sK4(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f1581,plain,
( spl6_149
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f1637,plain,
( ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))) )
| ~ spl6_50
| ~ spl6_149 ),
inference(duplicate_literal_removal,[],[f1636]) ).
fof(f1636,plain,
( ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_50
| ~ spl6_149 ),
inference(resolution,[],[f1582,f494]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK4(X0,X1,X2),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X1)
| ~ aElement0(sK4(X0,X1,X2))
| sP0(X0,X1,X2) )
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f1582,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_149 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f4919,plain,
( spl6_327
| ~ spl6_50
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1630,f1577,f493,f4917]) ).
fof(f4917,plain,
( spl6_327
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
fof(f1630,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_50
| ~ spl6_148 ),
inference(duplicate_literal_removal,[],[f1617]) ).
fof(f1617,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_50
| ~ spl6_148 ),
inference(resolution,[],[f1578,f494]) ).
fof(f4915,plain,
( spl6_326
| ~ spl6_53
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1397,f1359,f537,f4913]) ).
fof(f4913,plain,
( spl6_326
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| ~ aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
fof(f537,plain,
( spl6_53
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK5(X0,X1,X2) = X0
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f1397,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| ~ aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_53
| ~ spl6_133 ),
inference(duplicate_literal_removal,[],[f1384]) ).
fof(f1384,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| ~ aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_53
| ~ spl6_133 ),
inference(resolution,[],[f1360,f538]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK5(X0,X1,X2),X2)
| sK5(X0,X1,X2) = X0
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| sP1(X0,X1,X2) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f4911,plain,
( spl6_325
| ~ spl6_53
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1353,f1337,f537,f4909]) ).
fof(f4909,plain,
( spl6_325
<=> ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f1337,plain,
( spl6_131
<=> ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f1353,plain,
( ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))) )
| ~ spl6_53
| ~ spl6_131 ),
inference(duplicate_literal_removal,[],[f1352]) ).
fof(f1352,plain,
( ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_53
| ~ spl6_131 ),
inference(resolution,[],[f1338,f538]) ).
fof(f1338,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_131 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f4865,plain,
( ~ spl6_9
| spl6_324
| ~ spl6_14
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2077,f2068,f197,f4863,f174]) ).
fof(f2077,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(slcrc0)
| aSubsetOf0(sdtmndt0(slcrc0,X0),X1)
| ~ aSet0(sdtmndt0(slcrc0,X0))
| ~ aSet0(X1) )
| ~ spl6_14
| ~ spl6_174 ),
inference(resolution,[],[f2069,f198]) ).
fof(f4861,plain,
( spl6_323
| ~ spl6_100
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2066,f2008,f1043,f4859]) ).
fof(f1043,plain,
( spl6_100
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,X1,X1),X1)
| sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
fof(f2008,plain,
( spl6_173
<=> ! [X0,X1] :
( sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1)
| ~ aElementOf0(sK4(X0,X1,X1),X1)
| ~ aElement0(sK4(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f2066,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| sK4(X0,X1,X1) = X0
| ~ aElement0(sK4(X0,X1,X1)) )
| ~ spl6_100
| ~ spl6_173 ),
inference(duplicate_literal_removal,[],[f2039]) ).
fof(f2039,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| sK4(X0,X1,X1) = X0
| ~ aElement0(sK4(X0,X1,X1))
| sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1) )
| ~ spl6_100
| ~ spl6_173 ),
inference(resolution,[],[f2009,f1044]) ).
fof(f1044,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,X1),X1)
| sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1) )
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f2009,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,X1),X1)
| sP0(X0,X1,X1)
| sK4(X0,X1,X1) = X0
| ~ aElement0(sK4(X0,X1,X1)) )
| ~ spl6_173 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f4857,plain,
( spl6_322
| ~ spl6_82
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2038,f2004,f785,f4855]) ).
fof(f785,plain,
( spl6_82
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,X1,X1),X1)
| sP1(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f2004,plain,
( spl6_172
<=> ! [X0,X1] :
( sP1(X0,X1,X1)
| sK5(X0,X1,X1) = X0
| ~ aElementOf0(sK5(X0,X1,X1),X1)
| ~ aElement0(sK5(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f2038,plain,
( ! [X0,X1] :
( sK5(X0,X1,X1) = X0
| sP1(X0,X1,X1)
| ~ aElement0(sK5(X0,X1,X1)) )
| ~ spl6_82
| ~ spl6_172 ),
inference(duplicate_literal_removal,[],[f2011]) ).
fof(f2011,plain,
( ! [X0,X1] :
( sK5(X0,X1,X1) = X0
| sP1(X0,X1,X1)
| ~ aElement0(sK5(X0,X1,X1))
| sP1(X0,X1,X1) )
| ~ spl6_82
| ~ spl6_172 ),
inference(resolution,[],[f2005,f786]) ).
fof(f786,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,X1),X1)
| sP1(X0,X1,X1) )
| ~ spl6_82 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f2005,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,X1),X1)
| sK5(X0,X1,X1) = X0
| sP1(X0,X1,X1)
| ~ aElement0(sK5(X0,X1,X1)) )
| ~ spl6_172 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f4853,plain,
( ~ spl6_7
| spl6_321
| ~ spl6_37
| ~ spl6_216 ),
inference(avatar_split_clause,[],[f2920,f2909,f324,f4851,f164]) ).
fof(f4851,plain,
( spl6_321
<=> ! [X0] :
( ~ aElement0(X0)
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),xS)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
fof(f2909,plain,
( spl6_216
<=> ! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK2(X1,sdtmndt0(sdtmndt0(xS,xx),X0)),xS)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f2920,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),xS) )
| ~ spl6_37
| ~ spl6_216 ),
inference(duplicate_literal_removal,[],[f2914]) ).
fof(f2914,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),xS)
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),xS)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(xS) )
| ~ spl6_37
| ~ spl6_216 ),
inference(resolution,[],[f2910,f325]) ).
fof(f2910,plain,
( ! [X0,X1] :
( aElementOf0(sK2(X1,sdtmndt0(sdtmndt0(xS,xx),X0)),xS)
| ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),X1) )
| ~ spl6_216 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f4844,plain,
( ~ spl6_1
| spl6_320
| ~ spl6_6
| ~ spl6_201 ),
inference(avatar_split_clause,[],[f2757,f2685,f160,f4842,f136]) ).
fof(f4842,plain,
( spl6_320
<=> ! [X0,X1] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
fof(f2685,plain,
( spl6_201
<=> ! [X2,X0,X1] :
( sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X0
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f2757,plain,
( ! [X0,X1] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_201 ),
inference(resolution,[],[f2686,f161]) ).
fof(f2686,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)),X1)
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X0
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_201 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f4802,plain,
( spl6_319
| ~ spl6_77
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f1611,f1573,f735,f4800]) ).
fof(f4800,plain,
( spl6_319
<=> ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)))
| ~ aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f735,plain,
( spl6_77
<=> ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f1573,plain,
( spl6_147
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f1611,plain,
( ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)))
| ~ aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) )
| ~ spl6_77
| ~ spl6_147 ),
inference(duplicate_literal_removal,[],[f1605]) ).
fof(f1605,plain,
( ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) )
| ~ spl6_77
| ~ spl6_147 ),
inference(resolution,[],[f1574,f736]) ).
fof(f736,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f1574,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_147 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f4798,plain,
( spl6_318
| ~ spl6_91
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1346,f1333,f923,f4796]) ).
fof(f4796,plain,
( spl6_318
<=> ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f923,plain,
( spl6_91
<=> ! [X0,X1] :
( sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
fof(f1333,plain,
( spl6_130
<=> ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f1346,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0 )
| ~ spl6_91
| ~ spl6_130 ),
inference(duplicate_literal_removal,[],[f1340]) ).
fof(f1340,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0 )
| ~ spl6_91
| ~ spl6_130 ),
inference(resolution,[],[f1334,f924]) ).
fof(f924,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0 )
| ~ spl6_91 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1334,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_130 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f4787,plain,
( ~ spl6_3
| spl6_317
| ~ spl6_17
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2121,f2116,f214,f4785,f146]) ).
fof(f4785,plain,
( spl6_317
<=> ! [X0] :
( sK3(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) = X0
| xx = sK3(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK3(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| slcrc0 = sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
fof(f2121,plain,
( ! [X0] :
( sK3(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| slcrc0 = sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK3(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| xx = sK3(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_17
| ~ spl6_176 ),
inference(resolution,[],[f2117,f215]) ).
fof(f4488,plain,
( ~ spl6_1
| spl6_316
| ~ spl6_15
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2575,f2558,f201,f4486,f136]) ).
fof(f4486,plain,
( spl6_316
<=> ! [X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1))
| ~ aElementOf0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1),xS)
| xx = sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
fof(f2575,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1))
| sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(X1,sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| xx = sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1)
| ~ aElementOf0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1),xS) )
| ~ spl6_15
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2567]) ).
fof(f2567,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1))
| sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(X1,sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| xx = sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1)
| ~ aElementOf0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1),xS)
| ~ aElement0(sK2(sdtmndt0(sdtmndt0(xS,xx),X0),X1)) )
| ~ spl6_15
| ~ spl6_196 ),
inference(resolution,[],[f2559,f202]) ).
fof(f4478,plain,
( ~ spl6_3
| spl6_315
| ~ spl6_17
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2256,f2153,f214,f4476,f146]) ).
fof(f4476,plain,
( spl6_315
<=> ! [X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| xx = sK4(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| sK4(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
fof(f2256,plain,
( ! [X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| sK4(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X0
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK4(X0,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_182 ),
inference(resolution,[],[f2154,f215]) ).
fof(f4468,plain,
( ~ spl6_3
| spl6_314
| ~ spl6_17
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2244,f2149,f214,f4466,f146]) ).
fof(f4466,plain,
( spl6_314
<=> ! [X0,X1] :
( sP0(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| xx = sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
fof(f2244,plain,
( ! [X0,X1] :
( sP0(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) )
| ~ spl6_17
| ~ spl6_181 ),
inference(resolution,[],[f2150,f215]) ).
fof(f4464,plain,
( spl6_313
| ~ spl6_34
| ~ spl6_225 ),
inference(avatar_split_clause,[],[f3041,f2981,f309,f4462]) ).
fof(f4462,plain,
( spl6_313
<=> ! [X0,X1] :
( ~ aSet0(sdtpldt0(xS,X0))
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(X1,sdtpldt0(xS,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f2981,plain,
( spl6_225
<=> ! [X0] :
( ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f3041,plain,
( ! [X0,X1] :
( ~ aSet0(sdtpldt0(xS,X0))
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(X1,sdtpldt0(xS,X0)) )
| ~ spl6_34
| ~ spl6_225 ),
inference(duplicate_literal_removal,[],[f3036]) ).
fof(f3036,plain,
( ! [X0,X1] :
( ~ aSet0(sdtpldt0(xS,X0))
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(X1,sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0)) )
| ~ spl6_34
| ~ spl6_225 ),
inference(resolution,[],[f2982,f310]) ).
fof(f2982,plain,
( ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0))
| ~ aElement0(X0) )
| ~ spl6_225 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f4454,plain,
( ~ spl6_3
| spl6_312
| ~ spl6_17
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2230,f2145,f214,f4452,f146]) ).
fof(f4452,plain,
( spl6_312
<=> ! [X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| xx = sK5(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| sP1(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f2230,plain,
( ! [X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK5(X0,slcrc0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_180 ),
inference(resolution,[],[f2146,f215]) ).
fof(f4444,plain,
( ~ spl6_3
| spl6_311
| ~ spl6_17
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2218,f2141,f214,f4442,f146]) ).
fof(f4442,plain,
( spl6_311
<=> ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X1
| xx = sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f2218,plain,
( ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),slcrc0) )
| ~ spl6_17
| ~ spl6_179 ),
inference(resolution,[],[f2142,f215]) ).
fof(f4415,plain,
( ~ spl6_3
| spl6_310
| ~ spl6_17
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2201,f2137,f214,f4413,f146]) ).
fof(f4413,plain,
( spl6_310
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| xx = sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f2201,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X2) )
| ~ spl6_17
| ~ spl6_178 ),
inference(resolution,[],[f2138,f215]) ).
fof(f4388,plain,
( ~ spl6_3
| spl6_309
| ~ spl6_17
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2170,f2133,f214,f4386,f146]) ).
fof(f4386,plain,
( spl6_309
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| xx = sK5(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| sP1(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f2170,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2))
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)),sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X2)) )
| ~ spl6_17
| ~ spl6_177 ),
inference(resolution,[],[f2134,f215]) ).
fof(f4378,plain,
( ~ spl6_3
| spl6_308
| ~ spl6_17
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1703,f1651,f214,f4376,f146]) ).
fof(f4376,plain,
( spl6_308
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f1703,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_152 ),
inference(duplicate_literal_removal,[],[f1693]) ).
fof(f1693,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) )
| ~ spl6_17
| ~ spl6_152 ),
inference(resolution,[],[f1652,f215]) ).
fof(f4247,plain,
( ~ spl6_3
| spl6_307
| ~ spl6_17
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1681,f1647,f214,f4245,f146]) ).
fof(f4245,plain,
( spl6_307
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_151 ),
inference(duplicate_literal_removal,[],[f1671]) ).
fof(f1671,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_151 ),
inference(resolution,[],[f1648,f215]) ).
fof(f4243,plain,
( spl6_306
| ~ spl6_90
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1543,f1469,f898,f4241]) ).
fof(f4241,plain,
( spl6_306
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
fof(f1543,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_143 ),
inference(resolution,[],[f1470,f899]) ).
fof(f4239,plain,
( spl6_305
| ~ spl6_90
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1525,f1465,f898,f4237]) ).
fof(f4237,plain,
( spl6_305
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
fof(f1525,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X3
| sP1(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) )
| ~ spl6_90
| ~ spl6_142 ),
inference(resolution,[],[f1466,f899]) ).
fof(f4235,plain,
( spl6_304
| ~ spl6_90
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1508,f1452,f898,f4233]) ).
fof(f4233,plain,
( spl6_304
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
fof(f1508,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_140 ),
inference(resolution,[],[f1453,f899]) ).
fof(f4231,plain,
( spl6_303
| ~ spl6_90
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1490,f1448,f898,f4229]) ).
fof(f4229,plain,
( spl6_303
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f1490,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP0(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)) = X0
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) )
| ~ spl6_90
| ~ spl6_139 ),
inference(resolution,[],[f1449,f899]) ).
fof(f4227,plain,
( spl6_302
| ~ spl6_97
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1307,f1279,f1006,f4225]) ).
fof(f4225,plain,
( spl6_302
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f1279,plain,
( spl6_128
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),X0)
| aElementOf0(sK5(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),xS)
| sP1(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f1307,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)),X1)
| sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtpldt0(X1,X2),X3)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_128 ),
inference(resolution,[],[f1280,f1007]) ).
fof(f1280,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),xS)
| aElementOf0(sK5(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)) )
| ~ spl6_128 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f4223,plain,
( spl6_301
| ~ spl6_97
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1289,f1275,f1006,f4221]) ).
fof(f4221,plain,
( spl6_301
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
fof(f1275,plain,
( spl6_127
<=> ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),X0)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),xS)
| sP1(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f1289,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(X1,X2))
| sP1(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)),X1)
| sK5(X0,sdtmndt0(sdtpldt0(X1,X2),X3),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_127 ),
inference(resolution,[],[f1276,f1007]) ).
fof(f1276,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),xS)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)) )
| ~ spl6_127 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f4214,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_300
| ~ spl6_118
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2577,f2558,f1208,f4212,f164,f146]) ).
fof(f4212,plain,
( spl6_300
<=> ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))
| xx = sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aElement0(X0)
| sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
fof(f1208,plain,
( spl6_118
<=> ! [X0] :
( xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f2577,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))
| sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,X0))
| xx = sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_118
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2565]) ).
fof(f2565,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))
| sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| xx = sK2(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_118
| ~ spl6_196 ),
inference(resolution,[],[f2559,f1209]) ).
fof(f1209,plain,
( ! [X0] :
( aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_118 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f4210,plain,
( spl6_299
| ~ spl6_21
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f4129,f3874,f231,f4208]) ).
fof(f4208,plain,
( spl6_299
<=> ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtmndt0(xS,xx)))
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
fof(f3874,plain,
( spl6_279
<=> ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f4129,plain,
( ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtmndt0(xS,xx)))
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl6_21
| ~ spl6_279 ),
inference(resolution,[],[f3875,f232]) ).
fof(f3875,plain,
( ! [X0,X1] :
( sP1(X0,X1,sdtmndt0(xS,xx))
| slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_279 ),
inference(avatar_component_clause,[],[f3874]) ).
fof(f4204,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_298
| ~ spl6_129
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2308,f2289,f1318,f4202,f164,f146]) ).
fof(f4202,plain,
( spl6_298
<=> ! [X0] :
( sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0)) = X0
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0)))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f1318,plain,
( spl6_129
<=> ! [X0] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f2308,plain,
( ! [X0] :
( sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))) )
| ~ spl6_129
| ~ spl6_185 ),
inference(duplicate_literal_removal,[],[f2306]) ).
fof(f2306,plain,
( ! [X0] :
( sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,X0))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))) )
| ~ spl6_129
| ~ spl6_185 ),
inference(resolution,[],[f2290,f1319]) ).
fof(f1319,plain,
( ! [X0] :
( ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_129 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f4174,plain,
( ~ spl6_1
| spl6_297
| ~ spl6_6
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f2740,f2681,f160,f4172,f136]) ).
fof(f4172,plain,
( spl6_297
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),xS)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2) = X0
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
fof(f2740,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2) = X1
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),xS) )
| ~ spl6_6
| ~ spl6_200 ),
inference(resolution,[],[f2682,f161]) ).
fof(f4145,plain,
( ~ spl6_1
| spl6_296
| ~ spl6_6
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f2696,f2677,f160,f4143,f136]) ).
fof(f4143,plain,
( spl6_296
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS)
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X0
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
fof(f2696,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X2
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X0
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_6
| ~ spl6_199 ),
inference(resolution,[],[f2678,f161]) ).
fof(f4137,plain,
( ~ spl6_3
| ~ spl6_1
| spl6_295
| ~ spl6_69
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2310,f2289,f681,f4135,f136,f146]) ).
fof(f4135,plain,
( spl6_295
<=> ! [X0] :
( sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X0)) = X0
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X0)))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f681,plain,
( spl6_69
<=> ! [X0] :
( aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f2310,plain,
( ! [X0] :
( sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X0))) )
| ~ spl6_69
| ~ spl6_185 ),
inference(duplicate_literal_removal,[],[f2300]) ).
fof(f2300,plain,
( ! [X0] :
( sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),X0)))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0)) )
| ~ spl6_69
| ~ spl6_185 ),
inference(resolution,[],[f2290,f682]) ).
fof(f682,plain,
( ! [X0] :
( ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0) )
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f4133,plain,
( spl6_294
| ~ spl6_6
| ~ spl6_155 ),
inference(avatar_split_clause,[],[f1753,f1749,f160,f4131]) ).
fof(f4131,plain,
( spl6_294
<=> ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
fof(f1749,plain,
( spl6_155
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f1753,plain,
( ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_155 ),
inference(resolution,[],[f1750,f161]) ).
fof(f1750,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_155 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f4100,plain,
( ~ spl6_1
| spl6_293
| ~ spl6_15
| ~ spl6_188 ),
inference(avatar_split_clause,[],[f2379,f2352,f201,f4098,f136]) ).
fof(f4098,plain,
( spl6_293
<=> ! [X2,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS)
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f2379,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_15
| ~ spl6_188 ),
inference(duplicate_literal_removal,[],[f2373]) ).
fof(f2373,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS)
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))) )
| ~ spl6_15
| ~ spl6_188 ),
inference(resolution,[],[f2353,f202]) ).
fof(f4076,plain,
( spl6_292
| ~ spl6_37
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2093,f2068,f324,f4074]) ).
fof(f4074,plain,
( spl6_292
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f2093,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(sdtmndt0(X1,X0)) )
| ~ spl6_37
| ~ spl6_174 ),
inference(duplicate_literal_removal,[],[f2075]) ).
fof(f2075,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(sdtmndt0(X1,X0))
| ~ aSet0(X1) )
| ~ spl6_37
| ~ spl6_174 ),
inference(resolution,[],[f2069,f325]) ).
fof(f4069,plain,
( ~ spl6_1
| spl6_291
| ~ spl6_6
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f1745,f1659,f160,f4067,f136]) ).
fof(f4067,plain,
( spl6_291
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f1745,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0 )
| ~ spl6_6
| ~ spl6_154 ),
inference(duplicate_literal_removal,[],[f1740]) ).
fof(f1740,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_154 ),
inference(resolution,[],[f1660,f161]) ).
fof(f4060,plain,
( ~ spl6_1
| spl6_290
| ~ spl6_6
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1727,f1655,f160,f4058,f136]) ).
fof(f4058,plain,
( spl6_290
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f1727,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X1
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_6
| ~ spl6_153 ),
inference(duplicate_literal_removal,[],[f1721]) ).
fof(f1721,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X1
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_153 ),
inference(resolution,[],[f1656,f161]) ).
fof(f4043,plain,
( ~ spl6_3
| spl6_289
| ~ spl6_17
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2078,f2068,f214,f4041,f146]) ).
fof(f4041,plain,
( spl6_289
<=> ! [X0,X1] :
( ~ aElement0(X0)
| xx = sK2(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK2(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f2078,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),X1)
| ~ aSet0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| ~ aSet0(X1)
| aElementOf0(sK2(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| xx = sK2(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_17
| ~ spl6_174 ),
inference(resolution,[],[f2069,f215]) ).
fof(f3982,plain,
( spl6_288
| ~ spl6_90
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1392,f1359,f898,f3980]) ).
fof(f3980,plain,
( spl6_288
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f1392,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1) )
| ~ spl6_90
| ~ spl6_133 ),
inference(resolution,[],[f1360,f899]) ).
fof(f3978,plain,
( spl6_287
| ~ spl6_90
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f1373,f1355,f898,f3976]) ).
fof(f3976,plain,
( spl6_287
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| xx = sK5(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f1373,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| xx = sK5(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_132 ),
inference(resolution,[],[f1356,f899]) ).
fof(f3966,plain,
( ~ spl6_9
| spl6_286
| ~ spl6_14
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f2103,f2072,f197,f3964,f174]) ).
fof(f3964,plain,
( spl6_286
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sP1(X1,sdtmndt0(slcrc0,X0),sdtmndt0(slcrc0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f2103,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(slcrc0)
| sP1(X1,sdtmndt0(slcrc0,X0),sdtmndt0(slcrc0,X0)) )
| ~ spl6_14
| ~ spl6_175 ),
inference(resolution,[],[f2073,f198]) ).
fof(f3955,plain,
( ~ spl6_1
| spl6_285
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f1702,f1651,f3953,f136]) ).
fof(f3953,plain,
( spl6_285
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f1702,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X1)) )
| ~ spl6_152 ),
inference(factoring,[],[f1652]) ).
fof(f3942,plain,
( ~ spl6_1
| spl6_284
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1680,f1647,f3940,f136]) ).
fof(f3940,plain,
( spl6_284
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_151 ),
inference(factoring,[],[f1648]) ).
fof(f3909,plain,
( ~ spl6_1
| spl6_283
| ~ spl6_15
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2282,f2268,f201,f3907,f136]) ).
fof(f3907,plain,
( spl6_283
<=> ! [X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1))
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1),xS)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f2282,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1)
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1),xS) )
| ~ spl6_15
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2276]) ).
fof(f2276,plain,
( ! [X0,X1] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1)
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1),xS)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),X0),X1)) )
| ~ spl6_15
| ~ spl6_184 ),
inference(resolution,[],[f2269,f202]) ).
fof(f3900,plain,
( ~ spl6_3
| spl6_282
| ~ spl6_17
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f1994,f1989,f214,f3898,f146]) ).
fof(f3898,plain,
( spl6_282
<=> ! [X0] :
( ~ aElement0(X0)
| xx = sK3(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK3(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| slcrc0 = sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f1994,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| slcrc0 = sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK3(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| xx = sK3(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_17
| ~ spl6_171 ),
inference(resolution,[],[f1990,f215]) ).
fof(f3887,plain,
( ~ spl6_1
| spl6_281
| ~ spl6_6
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f2344,f2322,f160,f3885,f136]) ).
fof(f3885,plain,
( spl6_281
<=> ! [X0,X1] :
( sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f2322,plain,
( spl6_187
<=> ! [X2,X0,X1] :
( sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2)) = X0
| sP0(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f2344,plain,
( ! [X0,X1] :
( sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_187 ),
inference(resolution,[],[f2323,f161]) ).
fof(f2323,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2)),X1)
| sP0(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2)) = X0 )
| ~ spl6_187 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f3880,plain,
( ~ spl6_1
| spl6_280
| ~ spl6_6
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2332,f2315,f160,f3878,f136]) ).
fof(f3878,plain,
( spl6_280
<=> ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f2332,plain,
( ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_186 ),
inference(resolution,[],[f2316,f161]) ).
fof(f3876,plain,
( spl6_279
| ~ spl6_55
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3141,f3121,f555,f3874]) ).
fof(f3141,plain,
( ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_55
| ~ spl6_240 ),
inference(resolution,[],[f3122,f556]) ).
fof(f3872,plain,
( spl6_278
| ~ spl6_6
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1628,f1577,f160,f3870]) ).
fof(f3870,plain,
( spl6_278
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f1628,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_6
| ~ spl6_148 ),
inference(duplicate_literal_removal,[],[f1623]) ).
fof(f1623,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_148 ),
inference(resolution,[],[f1578,f161]) ).
fof(f3868,plain,
( spl6_277
| ~ spl6_6
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1600,f1569,f160,f3866]) ).
fof(f3866,plain,
( spl6_277
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f1600,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_6
| ~ spl6_146 ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1594,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_146 ),
inference(resolution,[],[f1570,f161]) ).
fof(f3862,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_276
| ~ spl6_67
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2309,f2289,f668,f3860,f164,f136]) ).
fof(f3860,plain,
( spl6_276
<=> ! [X0] :
( sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)) = X0
| xx = sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(xS,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f668,plain,
( spl6_67
<=> ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtmndt0(xS,xx),X0))
| ~ aElementOf0(sK2(sdtmndt0(xS,xx),X0),xS)
| xx = sK2(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f2309,plain,
( ! [X0] :
( sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)))
| xx = sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)) )
| ~ spl6_67
| ~ spl6_185 ),
inference(duplicate_literal_removal,[],[f2305]) ).
fof(f2305,plain,
( ! [X0] :
( sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0)))
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0)) )
| ~ spl6_67
| ~ spl6_185 ),
inference(resolution,[],[f2290,f669]) ).
fof(f669,plain,
( ! [X0] :
( ~ aElementOf0(sK2(sdtmndt0(xS,xx),X0),xS)
| ~ aElement0(sK2(sdtmndt0(xS,xx),X0))
| aSubsetOf0(X0,sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f3839,plain,
( spl6_275
| ~ spl6_28
| ~ spl6_137 ),
inference(avatar_split_clause,[],[f1440,f1434,f268,f3837]) ).
fof(f3837,plain,
( spl6_275
<=> ! [X0] :
( sK4(X0,slcrc0,slcrc0) = X0
| ~ aElement0(X0)
| aElementOf0(X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f1434,plain,
( spl6_137
<=> ! [X0] :
( sK4(X0,slcrc0,slcrc0) = X0
| sP0(X0,slcrc0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f1440,plain,
( ! [X0] :
( sK4(X0,slcrc0,slcrc0) = X0
| ~ aElement0(X0)
| aElementOf0(X0,slcrc0) )
| ~ spl6_28
| ~ spl6_137 ),
inference(resolution,[],[f1435,f269]) ).
fof(f1435,plain,
( ! [X0] :
( sP0(X0,slcrc0,slcrc0)
| sK4(X0,slcrc0,slcrc0) = X0 )
| ~ spl6_137 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f3780,plain,
( ~ spl6_1
| spl6_274
| ~ spl6_6
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f2550,f2414,f160,f3778,f136]) ).
fof(f3778,plain,
( spl6_274
<=> ! [X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f2550,plain,
( ! [X0,X1] :
( sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1))
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X0
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_195 ),
inference(resolution,[],[f2415,f161]) ).
fof(f3776,plain,
( spl6_273
| ~ spl6_54
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3135,f3121,f551,f3774]) ).
fof(f3135,plain,
( ! [X0,X1] :
( slcrc0 = sdtmndt0(slcrc0,sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_54
| ~ spl6_240 ),
inference(resolution,[],[f3122,f552]) ).
fof(f3771,plain,
( ~ spl6_1
| spl6_272
| ~ spl6_6
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f2536,f2406,f160,f3769,f136]) ).
fof(f3769,plain,
( spl6_272
<=> ! [X0,X1] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0),xS)
| ~ aElement0(X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0) = X1
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f2536,plain,
( ! [X0,X1] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0) = X0
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_193 ),
inference(resolution,[],[f2407,f161]) ).
fof(f3747,plain,
( ~ spl6_1
| spl6_271
| ~ spl6_6
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f2520,f2402,f160,f3745,f136]) ).
fof(f3745,plain,
( spl6_271
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),xS)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f2520,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2) = X1
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),X2),xS) )
| ~ spl6_6
| ~ spl6_192 ),
inference(resolution,[],[f2403,f161]) ).
fof(f3721,plain,
( ~ spl6_1
| spl6_270
| ~ spl6_6
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f2480,f2398,f160,f3719,f136]) ).
fof(f3719,plain,
( spl6_270
<=> ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X2
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f2480,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)) = X2
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_6
| ~ spl6_191 ),
inference(resolution,[],[f2399,f161]) ).
fof(f3697,plain,
( ~ spl6_1
| spl6_269
| ~ spl6_6
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f2464,f2394,f160,f3695,f136]) ).
fof(f3695,plain,
( spl6_269
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),xS)
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2)
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f2464,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2) = X0
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),xS) )
| ~ spl6_6
| ~ spl6_190 ),
inference(resolution,[],[f2395,f161]) ).
fof(f3676,plain,
( ~ spl6_1
| spl6_268
| ~ spl6_6
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f2435,f2390,f160,f3674,f136]) ).
fof(f3674,plain,
( spl6_268
<=> ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS)
| sP0(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X0
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f2435,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)) = X0
| sP0(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| aElementOf0(sK4(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_6
| ~ spl6_189 ),
inference(resolution,[],[f2391,f161]) ).
fof(f3672,plain,
( spl6_267
| ~ spl6_106
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3126,f3121,f1136,f3670]) ).
fof(f3670,plain,
( spl6_267
<=> ! [X0] :
( slcrc0 = sdtmndt0(slcrc0,sK2(X0,sdtmndt0(xS,xx)))
| aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f3126,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(slcrc0,sK2(X0,sdtmndt0(xS,xx)))
| aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) )
| ~ spl6_106
| ~ spl6_240 ),
inference(resolution,[],[f3122,f1137]) ).
fof(f3664,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_266
| ~ spl6_118
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2284,f2268,f1208,f3662,f164,f146]) ).
fof(f3662,plain,
( spl6_266
<=> ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))
| xx = sK2(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f2284,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,X0))
| xx = sK2(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_118
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2274]) ).
fof(f2274,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0))
| xx = sK2(sdtpldt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_118
| ~ spl6_184 ),
inference(resolution,[],[f2269,f1209]) ).
fof(f3656,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_265
| ~ spl6_129
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2089,f2068,f1318,f3654,f164,f146]) ).
fof(f3654,plain,
( spl6_265
<=> ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0)))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f2089,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))) )
| ~ spl6_129
| ~ spl6_174 ),
inference(duplicate_literal_removal,[],[f2088]) ).
fof(f2088,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,X0))
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,X0))) )
| ~ spl6_129
| ~ spl6_174 ),
inference(resolution,[],[f2069,f1319]) ).
fof(f3647,plain,
( ~ spl6_3
| spl6_264
| ~ spl6_17
| ~ spl6_167 ),
inference(avatar_split_clause,[],[f1921,f1903,f214,f3645,f146]) ).
fof(f3645,plain,
( spl6_264
<=> ! [X0,X1] :
( ~ aElement0(X0)
| xx = sK5(X1,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK5(X1,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| sP1(X1,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f1921,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X1,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aElementOf0(sK5(X1,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)),sdtmndt0(xS,xx))
| xx = sK5(X1,slcrc0,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_17
| ~ spl6_167 ),
inference(resolution,[],[f1904,f215]) ).
fof(f3638,plain,
( ~ spl6_3
| spl6_263
| ~ spl6_17
| ~ spl6_166 ),
inference(avatar_split_clause,[],[f1909,f1899,f214,f3636,f146]) ).
fof(f3636,plain,
( spl6_263
<=> ! [X0,X1] :
( ~ aElement0(X0)
| xx = sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),slcrc0)
| aElementOf0(sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),slcrc0),sdtmndt0(xS,xx))
| sP1(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f1909,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),slcrc0)
| aElementOf0(sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),slcrc0),sdtmndt0(xS,xx))
| xx = sK5(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0),slcrc0) )
| ~ spl6_17
| ~ spl6_166 ),
inference(resolution,[],[f1900,f215]) ).
fof(f3634,plain,
( spl6_262
| ~ spl6_90
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1311,f1279,f898,f3632]) ).
fof(f3632,plain,
( spl6_262
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f1311,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(X1,X2),X3)),X1) )
| ~ spl6_90
| ~ spl6_128 ),
inference(resolution,[],[f1280,f899]) ).
fof(f3622,plain,
( spl6_221
| ~ spl6_3
| ~ spl6_7
| ~ spl6_86
| spl6_219 ),
inference(avatar_split_clause,[],[f2957,f2944,f826,f164,f146,f2952]) ).
fof(f826,plain,
( spl6_86
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f2957,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_86
| spl6_219 ),
inference(resolution,[],[f2946,f827]) ).
fof(f827,plain,
( ! [X0,X1] :
( aElement0(sK2(X1,X0))
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1) )
| ~ spl6_86 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f2946,plain,
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| spl6_219 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f3621,plain,
( spl6_261
| ~ spl6_90
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1293,f1275,f898,f3619]) ).
fof(f3619,plain,
( spl6_261
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f1293,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(X1,X2))
| sP1(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(X1,X2),X3),sdtmndt0(xS,xx)),X1) )
| ~ spl6_90
| ~ spl6_127 ),
inference(resolution,[],[f1276,f899]) ).
fof(f3614,plain,
( ~ spl6_7
| spl6_260
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f1744,f1659,f3612,f164]) ).
fof(f3612,plain,
( spl6_260
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f1744,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) = X1
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) = X0 )
| ~ spl6_154 ),
inference(factoring,[],[f1660]) ).
fof(f3605,plain,
( ~ spl6_7
| spl6_259
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f1726,f1655,f3603,f164]) ).
fof(f3603,plain,
( spl6_259
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f1726,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sK4(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) = X1
| sP0(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_153 ),
inference(factoring,[],[f1656]) ).
fof(f3599,plain,
( ~ spl6_3
| ~ spl6_1
| spl6_258
| ~ spl6_69
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2091,f2068,f681,f3597,f136,f146]) ).
fof(f3597,plain,
( spl6_258
<=> ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X0)))
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f2091,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X0))) )
| ~ spl6_69
| ~ spl6_174 ),
inference(duplicate_literal_removal,[],[f2082]) ).
fof(f2082,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(sdtmndt0(xS,xx),X0)))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0)) )
| ~ spl6_69
| ~ spl6_174 ),
inference(resolution,[],[f2069,f682]) ).
fof(f3588,plain,
( ~ spl6_9
| spl6_257
| ~ spl6_14
| ~ spl6_167 ),
inference(avatar_split_clause,[],[f1920,f1903,f197,f3586,f174]) ).
fof(f3586,plain,
( spl6_257
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sP1(X1,slcrc0,sdtmndt0(slcrc0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f1920,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(slcrc0)
| sP1(X1,slcrc0,sdtmndt0(slcrc0,X0)) )
| ~ spl6_14
| ~ spl6_167 ),
inference(resolution,[],[f1904,f198]) ).
fof(f3532,plain,
( ~ spl6_9
| spl6_256
| ~ spl6_14
| ~ spl6_166 ),
inference(avatar_split_clause,[],[f1908,f1899,f197,f3530,f174]) ).
fof(f3530,plain,
( spl6_256
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sP1(X1,sdtmndt0(slcrc0,X0),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f1908,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(slcrc0)
| sP1(X1,sdtmndt0(slcrc0,X0),slcrc0) )
| ~ spl6_14
| ~ spl6_166 ),
inference(resolution,[],[f1900,f198]) ).
fof(f3522,plain,
( ~ spl6_1
| spl6_255
| ~ spl6_6
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1546,f1469,f160,f3520,f136]) ).
fof(f3520,plain,
( spl6_255
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f1546,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) )
| ~ spl6_6
| ~ spl6_143 ),
inference(duplicate_literal_removal,[],[f1541]) ).
fof(f1541,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_143 ),
inference(resolution,[],[f1470,f161]) ).
fof(f3511,plain,
( spl6_254
| ~ spl6_10
| ~ spl6_30
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f414,f373,f285,f179,f3509]) ).
fof(f3509,plain,
( spl6_254
<=> ! [X0,X1] :
( sP0(X0,X1,sdtpldt0(slcrc0,xx))
| aElement0(sK4(X0,X1,sdtpldt0(slcrc0,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f179,plain,
( spl6_10
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f285,plain,
( spl6_30
<=> slcrc0 = sdtmndt0(xS,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f373,plain,
( spl6_42
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| aElementOf0(sK4(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f414,plain,
( ! [X0,X1] :
( sP0(X0,X1,sdtpldt0(slcrc0,xx))
| aElement0(sK4(X0,X1,sdtpldt0(slcrc0,xx))) )
| ~ spl6_10
| ~ spl6_30
| ~ spl6_42 ),
inference(forward_demodulation,[],[f413,f287]) ).
fof(f287,plain,
( slcrc0 = sdtmndt0(xS,xx)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f413,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtpldt0(slcrc0,xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_10
| ~ spl6_30
| ~ spl6_42 ),
inference(forward_demodulation,[],[f407,f287]) ).
fof(f407,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_10
| ~ spl6_42 ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f403,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_10
| ~ spl6_42 ),
inference(resolution,[],[f374,f180]) ).
fof(f180,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X0) )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,X2),X2)
| aElement0(sK4(X0,X1,X2))
| sP0(X0,X1,X2) )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f3285,plain,
( spl6_253
| ~ spl6_73
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3130,f3121,f708,f3282]) ).
fof(f3282,plain,
( spl6_253
<=> slcrc0 = sdtmndt0(slcrc0,sK3(sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f708,plain,
( spl6_73
<=> aElement0(sK3(sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f3130,plain,
( slcrc0 = sdtmndt0(slcrc0,sK3(sdtmndt0(xS,xx)))
| ~ spl6_73
| ~ spl6_240 ),
inference(resolution,[],[f3122,f710]) ).
fof(f710,plain,
( aElement0(sK3(sdtmndt0(xS,xx)))
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f3280,plain,
( ~ spl6_1
| spl6_252
| ~ spl6_6
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1529,f1465,f160,f3278,f136]) ).
fof(f3278,plain,
( spl6_252
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f1529,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X1
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) )
| ~ spl6_6
| ~ spl6_142 ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1523,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X1
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_142 ),
inference(resolution,[],[f1466,f161]) ).
fof(f3275,plain,
( ~ spl6_1
| spl6_251
| ~ spl6_6
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1512,f1452,f160,f3273,f136]) ).
fof(f3273,plain,
( spl6_251
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f1512,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0 )
| ~ spl6_6
| ~ spl6_140 ),
inference(duplicate_literal_removal,[],[f1506]) ).
fof(f1506,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_140 ),
inference(resolution,[],[f1453,f161]) ).
fof(f3266,plain,
( ~ spl6_1
| spl6_250
| ~ spl6_6
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1494,f1448,f160,f3264,f136]) ).
fof(f3264,plain,
( spl6_250
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_6
| ~ spl6_139 ),
inference(duplicate_literal_removal,[],[f1488]) ).
fof(f1488,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_139 ),
inference(resolution,[],[f1449,f161]) ).
fof(f3262,plain,
( spl6_249
| ~ spl6_6
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1473,f1444,f160,f3260]) ).
fof(f3260,plain,
( spl6_249
<=> ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f1444,plain,
( spl6_138
<=> ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f1473,plain,
( ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_138 ),
inference(resolution,[],[f1445,f161]) ).
fof(f1445,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_138 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f3245,plain,
( ~ spl6_1
| spl6_248
| ~ spl6_6
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f2301,f2289,f160,f3243,f136]) ).
fof(f3243,plain,
( spl6_248
<=> ! [X0,X1] :
( sK2(X0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aSet0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X1))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),X1),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f2301,plain,
( ! [X0,X1] :
( sK2(X0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),X1),X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X1))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_185 ),
inference(resolution,[],[f2290,f161]) ).
fof(f3186,plain,
( spl6_247
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1627,f1577,f3184]) ).
fof(f3184,plain,
( spl6_247
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f1627,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
| ~ spl6_148 ),
inference(factoring,[],[f1578]) ).
fof(f3182,plain,
( spl6_246
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f1599,f1569,f3180]) ).
fof(f3180,plain,
( spl6_246
<=> ! [X0] :
( aElementOf0(sK4(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f1599,plain,
( ! [X0] :
( aElementOf0(sK4(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| sK4(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP0(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_146 ),
inference(factoring,[],[f1570]) ).
fof(f3178,plain,
( spl6_245
| ~ spl6_6
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1419,f1403,f160,f3176]) ).
fof(f3176,plain,
( spl6_245
<=> ! [X0] :
( sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f1403,plain,
( spl6_135
<=> ! [X0] :
( sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f1419,plain,
( ! [X0] :
( sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_135 ),
inference(resolution,[],[f1404,f161]) ).
fof(f1404,plain,
( ! [X0] :
( aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_135 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f3174,plain,
( spl6_244
| ~ spl6_6
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f1413,f1399,f160,f3172]) ).
fof(f3172,plain,
( spl6_244
<=> ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f1399,plain,
( spl6_134
<=> ! [X0] :
( sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f1413,plain,
( ! [X0] :
( sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_134 ),
inference(resolution,[],[f1400,f161]) ).
fof(f1400,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) )
| ~ spl6_134 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f3156,plain,
( spl6_243
| ~ spl6_76
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f1178,f1157,f726,f3154]) ).
fof(f3154,plain,
( spl6_243
<=> ! [X0] :
( sP0(X0,xS,sdtmndt0(xS,xx))
| sK4(X0,xS,sdtmndt0(xS,xx)) = X0
| ~ aElement0(sK4(X0,xS,sdtmndt0(xS,xx)))
| xx = sK4(X0,xS,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,xS,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f726,plain,
( spl6_76
<=> ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f1157,plain,
( spl6_109
<=> ! [X0] :
( aElementOf0(sK4(X0,xS,sdtmndt0(xS,xx)),xS)
| sP0(X0,xS,sdtmndt0(xS,xx))
| sK4(X0,xS,sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f1178,plain,
( ! [X0] :
( sP0(X0,xS,sdtmndt0(xS,xx))
| sK4(X0,xS,sdtmndt0(xS,xx)) = X0
| ~ aElement0(sK4(X0,xS,sdtmndt0(xS,xx)))
| xx = sK4(X0,xS,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,xS,sdtmndt0(xS,xx)),xS) )
| ~ spl6_76
| ~ spl6_109 ),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1176,plain,
( ! [X0] :
( sP0(X0,xS,sdtmndt0(xS,xx))
| sK4(X0,xS,sdtmndt0(xS,xx)) = X0
| ~ aElement0(sK4(X0,xS,sdtmndt0(xS,xx)))
| sP0(X0,xS,sdtmndt0(xS,xx))
| xx = sK4(X0,xS,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,xS,sdtmndt0(xS,xx)),xS) )
| ~ spl6_76
| ~ spl6_109 ),
inference(resolution,[],[f1158,f727]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1) )
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f1158,plain,
( ! [X0] :
( aElementOf0(sK4(X0,xS,sdtmndt0(xS,xx)),xS)
| sP0(X0,xS,sdtmndt0(xS,xx))
| sK4(X0,xS,sdtmndt0(xS,xx)) = X0 )
| ~ spl6_109 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f3152,plain,
( spl6_242
| ~ spl6_89
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1127,f1110,f889,f3150]) ).
fof(f3150,plain,
( spl6_242
<=> ! [X0] :
( sP1(X0,xS,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,xS,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK5(X0,xS,sdtmndt0(xS,xx)))
| xx = sK5(X0,xS,sdtmndt0(xS,xx))
| sK5(X0,xS,sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f889,plain,
( spl6_89
<=> ! [X0,X1] :
( sK5(X0,X1,sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f1110,plain,
( spl6_102
<=> ! [X0] :
( aElementOf0(sK5(X0,xS,sdtmndt0(xS,xx)),xS)
| sP1(X0,xS,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f1127,plain,
( ! [X0] :
( sP1(X0,xS,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,xS,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK5(X0,xS,sdtmndt0(xS,xx)))
| xx = sK5(X0,xS,sdtmndt0(xS,xx))
| sK5(X0,xS,sdtmndt0(xS,xx)) = X0 )
| ~ spl6_89
| ~ spl6_102 ),
inference(duplicate_literal_removal,[],[f1125]) ).
fof(f1125,plain,
( ! [X0] :
( sP1(X0,xS,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,xS,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK5(X0,xS,sdtmndt0(xS,xx)))
| sP1(X0,xS,sdtmndt0(xS,xx))
| xx = sK5(X0,xS,sdtmndt0(xS,xx))
| sK5(X0,xS,sdtmndt0(xS,xx)) = X0 )
| ~ spl6_89
| ~ spl6_102 ),
inference(resolution,[],[f1111,f890]) ).
fof(f890,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS)
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| sK5(X0,X1,sdtmndt0(xS,xx)) = X0 )
| ~ spl6_89 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1111,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS,sdtmndt0(xS,xx)),xS)
| sP1(X0,xS,sdtmndt0(xS,xx)) )
| ~ spl6_102 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f3148,plain,
( spl6_241
| ~ spl6_11
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3124,f3121,f183,f3145]) ).
fof(f3145,plain,
( spl6_241
<=> slcrc0 = sdtmndt0(slcrc0,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f3124,plain,
( slcrc0 = sdtmndt0(slcrc0,xx)
| ~ spl6_11
| ~ spl6_240 ),
inference(resolution,[],[f3122,f184]) ).
fof(f184,plain,
( aElement0(xx)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f3123,plain,
( ~ spl6_9
| spl6_240
| ~ spl6_46
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1148,f1140,f389,f3121,f174]) ).
fof(f389,plain,
( spl6_46
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f1140,plain,
( spl6_107
<=> ! [X0] : sP1(X0,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f1148,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) )
| ~ spl6_46
| ~ spl6_107 ),
inference(duplicate_literal_removal,[],[f1143]) ).
fof(f1143,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0)
| ~ aSet0(slcrc0) )
| ~ spl6_46
| ~ spl6_107 ),
inference(resolution,[],[f1141,f390]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( ~ sP1(X1,X0,X2)
| sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1141,plain,
( ! [X0] : sP1(X0,slcrc0,slcrc0)
| ~ spl6_107 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f3115,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_239
| ~ spl6_58
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f2578,f2558,f568,f3113,f164,f136]) ).
fof(f568,plain,
( spl6_58
<=> ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),X0)
| aElementOf0(sK2(X0,sdtmndt0(xS,xx)),xS)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f2578,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)))
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X0)) )
| ~ spl6_58
| ~ spl6_196 ),
inference(duplicate_literal_removal,[],[f2564]) ).
fof(f2564,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)))
| sK2(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0)) )
| ~ spl6_58
| ~ spl6_196 ),
inference(resolution,[],[f2559,f569]) ).
fof(f569,plain,
( ! [X0] :
( aElementOf0(sK2(X0,sdtmndt0(xS,xx)),xS)
| aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) )
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f3107,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_238
| ~ spl6_67
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2090,f2068,f668,f3105,f164,f136]) ).
fof(f3105,plain,
( spl6_238
<=> ! [X0] :
( ~ aElement0(X0)
| xx = sK2(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aElement0(sK2(sdtmndt0(xS,xx),sdtmndt0(xS,X0)))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f2090,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtmndt0(xS,xx),sdtmndt0(xS,X0)))
| xx = sK2(sdtmndt0(xS,xx),sdtmndt0(xS,X0)) )
| ~ spl6_67
| ~ spl6_174 ),
inference(duplicate_literal_removal,[],[f2087]) ).
fof(f2087,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtmndt0(xS,xx),sdtmndt0(xS,X0)))
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0)) )
| ~ spl6_67
| ~ spl6_174 ),
inference(resolution,[],[f2069,f669]) ).
fof(f3101,plain,
( ~ spl6_1
| spl6_237
| ~ spl6_6
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2126,f2116,f160,f3099,f136]) ).
fof(f3099,plain,
( spl6_237
<=> ! [X0] :
( sK3(sdtpldt0(sdtmndt0(xS,xx),X0)) = X0
| aElementOf0(sK3(sdtpldt0(sdtmndt0(xS,xx),X0)),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| slcrc0 = sdtpldt0(sdtmndt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f2126,plain,
( ! [X0] :
( sK3(sdtpldt0(sdtmndt0(xS,xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| slcrc0 = sdtpldt0(sdtmndt0(xS,xx),X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),X0))
| aElementOf0(sK3(sdtpldt0(sdtmndt0(xS,xx),X0)),xS) )
| ~ spl6_6
| ~ spl6_176 ),
inference(resolution,[],[f2117,f161]) ).
fof(f3092,plain,
( spl6_95
| spl6_236
| ~ spl6_24
| ~ spl6_225 ),
inference(avatar_split_clause,[],[f3040,f2981,f252,f3090,f987]) ).
fof(f987,plain,
( spl6_95
<=> isFinite0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f3090,plain,
( spl6_236
<=> ! [X0] :
( ~ aSet0(sdtpldt0(xS,X0))
| ~ isFinite0(sdtpldt0(xS,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f252,plain,
( spl6_24
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f3040,plain,
( ! [X0] :
( ~ aSet0(sdtpldt0(xS,X0))
| ~ aElement0(X0)
| isFinite0(sdtmndt0(xS,xx))
| ~ isFinite0(sdtpldt0(xS,X0)) )
| ~ spl6_24
| ~ spl6_225 ),
inference(duplicate_literal_removal,[],[f3037]) ).
fof(f3037,plain,
( ! [X0] :
( ~ aSet0(sdtpldt0(xS,X0))
| ~ aElement0(X0)
| isFinite0(sdtmndt0(xS,xx))
| ~ isFinite0(sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0)) )
| ~ spl6_24
| ~ spl6_225 ),
inference(resolution,[],[f2982,f253]) ).
fof(f253,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f3084,plain,
( ~ spl6_1
| spl6_235
| ~ spl6_6
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2260,f2153,f160,f3082,f136]) ).
fof(f3082,plain,
( spl6_235
<=> ! [X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| sK4(X0,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f2260,plain,
( ! [X0,X1] :
( sP0(X0,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sK4(X0,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X1)) = X0
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_182 ),
inference(resolution,[],[f2154,f161]) ).
fof(f3079,plain,
( ~ spl6_1
| spl6_234
| ~ spl6_6
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2248,f2149,f160,f3077,f136]) ).
fof(f3077,plain,
( spl6_234
<=> ! [X0,X1] :
( sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),slcrc0)
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),slcrc0),xS)
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),slcrc0) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f2248,plain,
( ! [X0,X1] :
( sP0(X0,sdtmndt0(sdtmndt0(xS,xx),X1),slcrc0)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X1)
| sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),slcrc0) = X0
| aElementOf0(sK4(X0,sdtmndt0(sdtmndt0(xS,xx),X1),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_181 ),
inference(resolution,[],[f2150,f161]) ).
fof(f3072,plain,
( ~ spl6_1
| spl6_233
| ~ spl6_6
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2235,f2145,f160,f3070,f136]) ).
fof(f3070,plain,
( spl6_233
<=> ! [X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)),xS)
| sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f2235,plain,
( ! [X0,X1] :
( sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_180 ),
inference(resolution,[],[f2146,f161]) ).
fof(f3067,plain,
( ~ spl6_1
| spl6_232
| ~ spl6_6
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2222,f2141,f160,f3065,f136]) ).
fof(f3065,plain,
( spl6_232
<=> ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0) = X1
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0),xS)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f2222,plain,
( ! [X0,X1] :
( sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),X1),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_179 ),
inference(resolution,[],[f2142,f161]) ).
fof(f3033,plain,
( ~ spl6_1
| spl6_231
| ~ spl6_6
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2206,f2137,f160,f3031,f136]) ).
fof(f2206,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),X2)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2)
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),X2),xS) )
| ~ spl6_6
| ~ spl6_178 ),
inference(resolution,[],[f2138,f161]) ).
fof(f3012,plain,
( ~ spl6_1
| spl6_230
| ~ spl6_6
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2174,f2133,f160,f3010,f136]) ).
fof(f2174,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2))
| aElementOf0(sK5(X0,X1,sdtmndt0(sdtmndt0(xS,xx),X2)),xS) )
| ~ spl6_6
| ~ spl6_177 ),
inference(resolution,[],[f2134,f161]) ).
fof(f3008,plain,
( spl6_229
| ~ spl6_6
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1347,f1337,f160,f3006]) ).
fof(f3006,plain,
( spl6_229
<=> ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f1347,plain,
( ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_131 ),
inference(resolution,[],[f1338,f161]) ).
fof(f3004,plain,
( spl6_228
| ~ spl6_6
| ~ spl6_130 ),
inference(avatar_split_clause,[],[f1341,f1333,f160,f3002]) ).
fof(f3002,plain,
( spl6_228
<=> ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f1341,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_130 ),
inference(resolution,[],[f1334,f161]) ).
fof(f2999,plain,
( ~ spl6_1
| spl6_227
| ~ spl6_6
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f2108,f2072,f160,f2997,f136]) ).
fof(f2997,plain,
( spl6_227
<=> ! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK5(X1,sdtmndt0(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),X0)),xS)
| sP1(X1,sdtmndt0(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f2108,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X1,sdtmndt0(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),X0))
| aElementOf0(sK5(X1,sdtmndt0(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),X0)),xS) )
| ~ spl6_6
| ~ spl6_175 ),
inference(resolution,[],[f2073,f161]) ).
fof(f2992,plain,
( ~ spl6_7
| spl6_226
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1545,f1469,f2990,f164]) ).
fof(f2990,plain,
( spl6_226
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1))
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f1545,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) = X1
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(xS,X1)) )
| ~ spl6_143 ),
inference(factoring,[],[f1470]) ).
fof(f2983,plain,
( spl6_225
| ~ spl6_106
| ~ spl6_208 ),
inference(avatar_split_clause,[],[f2856,f2850,f1136,f2981]) ).
fof(f2850,plain,
( spl6_208
<=> ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtmndt0(xS,xx)))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f2856,plain,
( ! [X0] :
( ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0) )
| ~ spl6_106
| ~ spl6_208 ),
inference(duplicate_literal_removal,[],[f2853]) ).
fof(f2853,plain,
( ! [X0] :
( ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0)
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0)) )
| ~ spl6_106
| ~ spl6_208 ),
inference(resolution,[],[f2851,f1137]) ).
fof(f2851,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtmndt0(xS,xx)))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0) )
| ~ spl6_208 ),
inference(avatar_component_clause,[],[f2850]) ).
fof(f2979,plain,
( ~ spl6_7
| spl6_224
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f1528,f1465,f2977,f164]) ).
fof(f2977,plain,
( spl6_224
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx))
| sK5(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) = X1
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f1528,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sK5(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) = X1
| sP1(X0,sdtpldt0(xS,X1),sdtmndt0(xS,xx)) )
| ~ spl6_142 ),
inference(factoring,[],[f1466]) ).
fof(f2970,plain,
( ~ spl6_7
| spl6_223
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1511,f1452,f2968,f164]) ).
fof(f2968,plain,
( spl6_223
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)),xS)
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)) = X0
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f1511,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)) = X0 )
| ~ spl6_140 ),
inference(factoring,[],[f1453]) ).
fof(f2961,plain,
( ~ spl6_7
| spl6_222
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1493,f1448,f2959,f164]) ).
fof(f2959,plain,
( spl6_222
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)),xS)
| sK4(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)) = X0
| sP0(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f1493,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sP0(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_139 ),
inference(factoring,[],[f1449]) ).
fof(f2955,plain,
( ~ spl6_3
| ~ spl6_219
| spl6_220
| ~ spl6_7
| spl6_221
| ~ spl6_36
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1324,f1318,f320,f2952,f164,f2948,f2944,f146]) ).
fof(f1324,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_36
| ~ spl6_129 ),
inference(duplicate_literal_removal,[],[f1323]) ).
fof(f1323,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_36
| ~ spl6_129 ),
inference(resolution,[],[f1319,f321]) ).
fof(f2930,plain,
( spl6_218
| ~ spl6_50
| ~ spl6_110 ),
inference(avatar_split_clause,[],[f1181,f1161,f493,f2928]) ).
fof(f2928,plain,
( spl6_218
<=> ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),xS)
| sK4(X0,sdtmndt0(xS,xx),xS) = X0
| ~ aElementOf0(sK4(X0,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK4(X0,sdtmndt0(xS,xx),xS)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f1161,plain,
( spl6_110
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),xS),xS)
| sP0(X0,sdtmndt0(xS,xx),xS)
| sK4(X0,sdtmndt0(xS,xx),xS) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f1181,plain,
( ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),xS)
| sK4(X0,sdtmndt0(xS,xx),xS) = X0
| ~ aElementOf0(sK4(X0,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK4(X0,sdtmndt0(xS,xx),xS)) )
| ~ spl6_50
| ~ spl6_110 ),
inference(duplicate_literal_removal,[],[f1180]) ).
fof(f1180,plain,
( ! [X0] :
( sP0(X0,sdtmndt0(xS,xx),xS)
| sK4(X0,sdtmndt0(xS,xx),xS) = X0
| ~ aElementOf0(sK4(X0,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK4(X0,sdtmndt0(xS,xx),xS))
| sP0(X0,sdtmndt0(xS,xx),xS) )
| ~ spl6_50
| ~ spl6_110 ),
inference(resolution,[],[f1162,f494]) ).
fof(f1162,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),xS),xS)
| sP0(X0,sdtmndt0(xS,xx),xS)
| sK4(X0,sdtmndt0(xS,xx),xS) = X0 )
| ~ spl6_110 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f2926,plain,
( spl6_217
| ~ spl6_53
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1130,f1114,f537,f2924]) ).
fof(f2924,plain,
( spl6_217
<=> ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),xS)
| sK5(X0,sdtmndt0(xS,xx),xS) = X0
| ~ aElementOf0(sK5(X0,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,sdtmndt0(xS,xx),xS)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f1114,plain,
( spl6_103
<=> ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),xS),xS)
| sP1(X0,sdtmndt0(xS,xx),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f1130,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),xS)
| sK5(X0,sdtmndt0(xS,xx),xS) = X0
| ~ aElementOf0(sK5(X0,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,sdtmndt0(xS,xx),xS)) )
| ~ spl6_53
| ~ spl6_103 ),
inference(duplicate_literal_removal,[],[f1129]) ).
fof(f1129,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),xS)
| sK5(X0,sdtmndt0(xS,xx),xS) = X0
| ~ aElementOf0(sK5(X0,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,sdtmndt0(xS,xx),xS))
| sP1(X0,sdtmndt0(xS,xx),xS) )
| ~ spl6_53
| ~ spl6_103 ),
inference(resolution,[],[f1115,f538]) ).
fof(f1115,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),xS),xS)
| sP1(X0,sdtmndt0(xS,xx),xS) )
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f2911,plain,
( ~ spl6_1
| spl6_216
| ~ spl6_6
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2083,f2068,f160,f2909,f136]) ).
fof(f2083,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtmndt0(xS,xx),X0),X1)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| ~ aSet0(X1)
| aElementOf0(sK2(X1,sdtmndt0(sdtmndt0(xS,xx),X0)),xS) )
| ~ spl6_6
| ~ spl6_174 ),
inference(resolution,[],[f2069,f161]) ).
fof(f2890,plain,
( ~ spl6_7
| spl6_215
| ~ spl6_34
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f2846,f1550,f309,f2888,f164]) ).
fof(f2888,plain,
( spl6_215
<=> ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f2846,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,xS)
| ~ aSet0(xS) )
| ~ spl6_34
| ~ spl6_144 ),
inference(resolution,[],[f1552,f310]) ).
fof(f1552,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ spl6_144 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f2886,plain,
( spl6_214
| ~ spl6_133 ),
inference(avatar_split_clause,[],[f1394,f1359,f2884]) ).
fof(f2884,plain,
( spl6_214
<=> ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f1394,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
| ~ spl6_133 ),
inference(factoring,[],[f1360]) ).
fof(f2882,plain,
( spl6_213
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f1375,f1355,f2880]) ).
fof(f2880,plain,
( spl6_213
<=> ! [X0] :
( aElementOf0(sK5(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| xx = sK5(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f1375,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| xx = sK5(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP1(X0,xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_132 ),
inference(factoring,[],[f1356]) ).
fof(f2877,plain,
( ~ spl6_1
| spl6_212
| ~ spl6_6
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1315,f1279,f160,f2875,f136]) ).
fof(f2875,plain,
( spl6_212
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f1315,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)) )
| ~ spl6_6
| ~ spl6_128 ),
inference(duplicate_literal_removal,[],[f1309]) ).
fof(f1309,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(sdtmndt0(xS,xx),X1)),xS) )
| ~ spl6_6
| ~ spl6_128 ),
inference(resolution,[],[f1280,f161]) ).
fof(f2868,plain,
( ~ spl6_1
| spl6_211
| ~ spl6_6
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1297,f1275,f160,f2866,f136]) ).
fof(f2866,plain,
( spl6_211
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f1297,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)) )
| ~ spl6_6
| ~ spl6_127 ),
inference(duplicate_literal_removal,[],[f1291]) ).
fof(f1291,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtmndt0(sdtmndt0(xS,xx),X1),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_127 ),
inference(resolution,[],[f1276,f161]) ).
fof(f2864,plain,
( spl6_210
| ~ spl6_6
| ~ spl6_126 ),
inference(avatar_split_clause,[],[f1268,f1259,f160,f2862]) ).
fof(f2862,plain,
( spl6_210
<=> ! [X0] :
( sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f1259,plain,
( spl6_126
<=> ! [X0] :
( sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f1268,plain,
( ! [X0] :
( sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_126 ),
inference(resolution,[],[f1260,f161]) ).
fof(f1260,plain,
( ! [X0] :
( aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_126 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f2860,plain,
( spl6_209
| ~ spl6_6
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1262,f1255,f160,f2858]) ).
fof(f2858,plain,
( spl6_209
<=> ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f1255,plain,
( spl6_125
<=> ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f1262,plain,
( ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_125 ),
inference(resolution,[],[f1256,f161]) ).
fof(f1256,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) )
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f2852,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_208
| ~ spl6_58
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2285,f2268,f568,f2850,f164,f136]) ).
fof(f2285,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtmndt0(xS,xx)))
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,X0)) )
| ~ spl6_58
| ~ spl6_184 ),
inference(duplicate_literal_removal,[],[f2273]) ).
fof(f2273,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(xS,X0),sdtmndt0(xS,xx)))
| ~ aElement0(X0)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0)) )
| ~ spl6_58
| ~ spl6_184 ),
inference(resolution,[],[f2269,f569]) ).
fof(f2842,plain,
( ~ spl6_1
| spl6_207
| ~ spl6_6
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f1998,f1989,f160,f2840,f136]) ).
fof(f2840,plain,
( spl6_207
<=> ! [X0] :
( ~ aElement0(X0)
| aElementOf0(sK3(sdtmndt0(sdtmndt0(xS,xx),X0)),xS)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| slcrc0 = sdtmndt0(sdtmndt0(xS,xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f1998,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| slcrc0 = sdtmndt0(sdtmndt0(xS,xx),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(xS,xx),X0))
| aElementOf0(sK3(sdtmndt0(sdtmndt0(xS,xx),X0)),xS) )
| ~ spl6_6
| ~ spl6_171 ),
inference(resolution,[],[f1990,f161]) ).
fof(f2837,plain,
( ~ spl6_1
| spl6_206
| ~ spl6_6
| ~ spl6_167 ),
inference(avatar_split_clause,[],[f1925,f1903,f160,f2835,f136]) ).
fof(f1925,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0))
| aElementOf0(sK5(X1,slcrc0,sdtmndt0(sdtmndt0(xS,xx),X0)),xS) )
| ~ spl6_6
| ~ spl6_167 ),
inference(resolution,[],[f1904,f161]) ).
fof(f2832,plain,
( ~ spl6_1
| spl6_205
| ~ spl6_6
| ~ spl6_166 ),
inference(avatar_split_clause,[],[f1913,f1899,f160,f2830,f136]) ).
fof(f2830,plain,
( spl6_205
<=> ! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK5(X1,sdtmndt0(sdtmndt0(xS,xx),X0),slcrc0),xS)
| sP1(X1,sdtmndt0(sdtmndt0(xS,xx),X0),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f1913,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| sP1(X1,sdtmndt0(sdtmndt0(xS,xx),X0),slcrc0)
| aElementOf0(sK5(X1,sdtmndt0(sdtmndt0(xS,xx),X0),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_166 ),
inference(resolution,[],[f1900,f161]) ).
fof(f2821,plain,
( ~ spl6_1
| ~ spl6_3
| spl6_204
| ~ spl6_47
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1707,f1224,f393,f2819,f146,f136]) ).
fof(f2819,plain,
( spl6_204
<=> ! [X0] :
( aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f1224,plain,
( spl6_120
<=> aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f1707,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(X0) )
| ~ spl6_47
| ~ spl6_120 ),
inference(resolution,[],[f1226,f394]) ).
fof(f1226,plain,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f2772,plain,
( ~ spl6_3
| spl6_203
| ~ spl6_7
| spl6_144
| ~ spl6_37
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1214,f1208,f324,f1550,f164,f2769,f146]) ).
fof(f1214,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| xx = sK2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_37
| ~ spl6_118 ),
inference(duplicate_literal_removal,[],[f1212]) ).
fof(f1212,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| xx = sK2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl6_37
| ~ spl6_118 ),
inference(resolution,[],[f1209,f325]) ).
fof(f2767,plain,
( spl6_202
| ~ spl6_53
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1100,f1083,f537,f2765]) ).
fof(f1100,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK5(X0,X1,sdtmndt0(X2,X3)))
| sK5(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtmndt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X1)
| sP1(X0,X1,sdtmndt0(X2,X3)) )
| ~ spl6_53
| ~ spl6_101 ),
inference(duplicate_literal_removal,[],[f1099]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK5(X0,X1,sdtmndt0(X2,X3)))
| sK5(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtmndt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(X2,X3)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(X2,X3)))
| sP1(X0,X1,sdtmndt0(X2,X3)) )
| ~ spl6_53
| ~ spl6_101 ),
inference(resolution,[],[f1084,f538]) ).
fof(f2687,plain,
( spl6_201
| ~ spl6_97
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1075,f1043,f1006,f2685]) ).
fof(f1075,plain,
( ! [X2,X0,X1] :
( sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X0
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_100 ),
inference(resolution,[],[f1044,f1007]) ).
fof(f2683,plain,
( spl6_200
| ~ spl6_52
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1017,f1006,f517,f2681]) ).
fof(f517,plain,
( spl6_52
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK4(X0,X1,X2) = X0
| aElementOf0(sK4(X0,X1,X2),X1)
| aElementOf0(sK4(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f1017,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),X3),X1)
| sK4(X0,sdtpldt0(X1,X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),X3),X3)
| sK4(X0,sdtpldt0(X1,X2),X3) = X0
| sP0(X0,sdtpldt0(X1,X2),X3) )
| ~ spl6_52
| ~ spl6_97 ),
inference(resolution,[],[f1007,f518]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,X2),X2)
| aElementOf0(sK4(X0,X1,X2),X1)
| sK4(X0,X1,X2) = X0
| sP0(X0,X1,X2) )
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f2679,plain,
( spl6_199
| ~ spl6_52
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1015,f1006,f517,f2677]) ).
fof(f1015,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| sK4(X0,X1,sdtpldt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| sK4(X0,X1,sdtpldt0(X2,X3)) = X0
| sP0(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_52
| ~ spl6_97 ),
inference(resolution,[],[f1007,f518]) ).
fof(f2592,plain,
( spl6_198
| ~ spl6_50
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1101,f1083,f493,f2590]) ).
fof(f1101,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK4(X0,X1,sdtmndt0(X2,X3)))
| sK4(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X1)
| sP0(X0,X1,sdtmndt0(X2,X3)) )
| ~ spl6_50
| ~ spl6_101 ),
inference(duplicate_literal_removal,[],[f1098]) ).
fof(f1098,plain,
( ! [X2,X3,X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElement0(sK4(X0,X1,sdtmndt0(X2,X3)))
| sK4(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(X2,X3)),X1)
| ~ aElement0(sK4(X0,X1,sdtmndt0(X2,X3)))
| sP0(X0,X1,sdtmndt0(X2,X3)) )
| ~ spl6_50
| ~ spl6_101 ),
inference(resolution,[],[f1084,f494]) ).
fof(f2585,plain,
( spl6_197
| ~ spl6_53
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1002,f992,f537,f2583]) ).
fof(f1002,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(X2,X3)))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| sP1(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_53
| ~ spl6_96 ),
inference(duplicate_literal_removal,[],[f1001]) ).
fof(f1001,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK5(X0,X1,sdtpldt0(X2,X3)))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(X2,X3)))
| sP1(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_53
| ~ spl6_96 ),
inference(resolution,[],[f993,f538]) ).
fof(f2560,plain,
( spl6_196
| ~ spl6_37
| ~ spl6_101 ),
inference(avatar_split_clause,[],[f1096,f1083,f324,f2558]) ).
fof(f1096,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK2(sdtmndt0(X0,X1),X2),X0)
| ~ aElement0(sK2(sdtmndt0(X0,X1),X2))
| sK2(sdtmndt0(X0,X1),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_37
| ~ spl6_101 ),
inference(resolution,[],[f1084,f325]) ).
fof(f2416,plain,
( spl6_195
| ~ spl6_97
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1063,f1039,f1006,f2414]) ).
fof(f1039,plain,
( spl6_99
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,slcrc0,X1),X1)
| sK4(X0,slcrc0,X1) = X0
| sP0(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
fof(f1063,plain,
( ! [X2,X0,X1] :
( sK4(X0,slcrc0,sdtpldt0(X1,X2)) = X0
| sP0(X0,slcrc0,sdtpldt0(X1,X2))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(X1,X2)),X1)
| sK4(X0,slcrc0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_99 ),
inference(resolution,[],[f1040,f1007]) ).
fof(f1040,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,slcrc0,X1),X1)
| sK4(X0,slcrc0,X1) = X0
| sP0(X0,slcrc0,X1) )
| ~ spl6_99 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f2412,plain,
( ~ spl6_7
| spl6_194
| ~ spl6_128 ),
inference(avatar_split_clause,[],[f1314,f1279,f2410,f164]) ).
fof(f2410,plain,
( spl6_194
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f1314,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,X1)) )
| ~ spl6_128 ),
inference(factoring,[],[f1280]) ).
fof(f2408,plain,
( spl6_193
| ~ spl6_97
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1051,f1035,f1006,f2406]) ).
fof(f1035,plain,
( spl6_98
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,X1,slcrc0),X1)
| sK4(X0,X1,slcrc0) = X0
| sP0(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f1051,plain,
( ! [X2,X0,X1] :
( sK4(X0,sdtpldt0(X1,X2),slcrc0) = X0
| sP0(X0,sdtpldt0(X1,X2),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),slcrc0),X1)
| sK4(X0,sdtpldt0(X1,X2),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_97
| ~ spl6_98 ),
inference(resolution,[],[f1036,f1007]) ).
fof(f1036,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,slcrc0),X1)
| sK4(X0,X1,slcrc0) = X0
| sP0(X0,X1,slcrc0) )
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f2404,plain,
( spl6_192
| ~ spl6_49
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1025,f1006,f459,f2402]) ).
fof(f459,plain,
( spl6_49
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElementOf0(sK5(X0,X1,X2),X1)
| aElementOf0(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),X3),X1)
| sK5(X0,sdtpldt0(X1,X2),X3) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),X3),X3)
| sP1(X0,sdtpldt0(X1,X2),X3) )
| ~ spl6_49
| ~ spl6_97 ),
inference(resolution,[],[f1007,f460]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,X2),X2)
| aElementOf0(sK5(X0,X1,X2),X1)
| sP1(X0,X1,X2) )
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f2400,plain,
( spl6_191
| ~ spl6_49
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1023,f1006,f459,f2398]) ).
fof(f1023,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X2)
| sK5(X0,X1,sdtpldt0(X2,X3)) = X3
| ~ aElement0(X3)
| ~ aSet0(X2)
| aElementOf0(sK5(X0,X1,sdtpldt0(X2,X3)),X1)
| sP1(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_49
| ~ spl6_97 ),
inference(resolution,[],[f1007,f460]) ).
fof(f2396,plain,
( spl6_190
| ~ spl6_52
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f907,f898,f517,f2394]) ).
fof(f907,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),X3),X0)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),X3),X3)
| sK4(X2,sdtmndt0(X0,X1),X3) = X2
| sP0(X2,sdtmndt0(X0,X1),X3) )
| ~ spl6_52
| ~ spl6_90 ),
inference(resolution,[],[f899,f518]) ).
fof(f2392,plain,
( spl6_189
| ~ spl6_52
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f905,f898,f517,f2390]) ).
fof(f905,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,X3,sdtmndt0(X0,X1)),X0)
| aElementOf0(sK4(X2,X3,sdtmndt0(X0,X1)),X3)
| sK4(X2,X3,sdtmndt0(X0,X1)) = X2
| sP0(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_52
| ~ spl6_90 ),
inference(resolution,[],[f899,f518]) ).
fof(f2354,plain,
( spl6_188
| ~ spl6_50
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1003,f992,f493,f2352]) ).
fof(f1003,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(X2,X3)))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| sP0(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_50
| ~ spl6_96 ),
inference(duplicate_literal_removal,[],[f1000]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(X2,X3)))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(X2,X3)),X1)
| ~ aElement0(sK4(X0,X1,sdtpldt0(X2,X3)))
| sP0(X0,X1,sdtpldt0(X2,X3)) )
| ~ spl6_50
| ~ spl6_96 ),
inference(resolution,[],[f993,f494]) ).
fof(f2324,plain,
( spl6_187
| ~ spl6_90
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1079,f1043,f898,f2322]) ).
fof(f1079,plain,
( ! [X2,X0,X1] :
( sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2)) = X0
| sP0(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtmndt0(X1,X2)),X1) )
| ~ spl6_90
| ~ spl6_100 ),
inference(resolution,[],[f1044,f899]) ).
fof(f2317,plain,
( spl6_186
| ~ spl6_82
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1022,f1006,f785,f2315]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(X1,X2)) )
| ~ spl6_82
| ~ spl6_97 ),
inference(resolution,[],[f1007,f786]) ).
fof(f2291,plain,
( spl6_185
| ~ spl6_36
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1013,f1006,f320,f2289]) ).
fof(f1013,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK2(X0,sdtpldt0(X1,X2)),X1)
| sK2(X0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aSubsetOf0(sdtpldt0(X1,X2),X0)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aSet0(X0) )
| ~ spl6_36
| ~ spl6_97 ),
inference(resolution,[],[f1007,f321]) ).
fof(f2270,plain,
( spl6_184
| ~ spl6_37
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f998,f992,f324,f2268]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( ~ aElement0(sK2(sdtpldt0(X0,X1),X2))
| ~ aElementOf0(sK2(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_37
| ~ spl6_96 ),
inference(resolution,[],[f993,f325]) ).
fof(f2186,plain,
( ~ spl6_7
| spl6_183
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1296,f1275,f2184,f164]) ).
fof(f2184,plain,
( spl6_183
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f1296,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)),xS)
| ~ aElement0(X1)
| ~ aSet0(xS)
| sP1(X0,sdtmndt0(xS,X1),sdtmndt0(xS,xx)) )
| ~ spl6_127 ),
inference(factoring,[],[f1276]) ).
fof(f2155,plain,
( spl6_182
| ~ spl6_90
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1067,f1039,f898,f2153]) ).
fof(f1067,plain,
( ! [X2,X0,X1] :
( sK4(X0,slcrc0,sdtmndt0(X1,X2)) = X0
| sP0(X0,slcrc0,sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(X1,X2)),X1) )
| ~ spl6_90
| ~ spl6_99 ),
inference(resolution,[],[f1040,f899]) ).
fof(f2151,plain,
( spl6_181
| ~ spl6_90
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1055,f1035,f898,f2149]) ).
fof(f1055,plain,
( ! [X2,X0,X1] :
( sK4(X0,sdtmndt0(X1,X2),slcrc0) = X0
| sP0(X0,sdtmndt0(X1,X2),slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),slcrc0),X1) )
| ~ spl6_90
| ~ spl6_98 ),
inference(resolution,[],[f1036,f899]) ).
fof(f2147,plain,
( spl6_180
| ~ spl6_81
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1029,f1006,f781,f2145]) ).
fof(f781,plain,
( spl6_81
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,slcrc0,X1),X1)
| sP1(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f1029,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,slcrc0,sdtpldt0(X1,X2)),X1)
| sK5(X0,slcrc0,sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,slcrc0,sdtpldt0(X1,X2)) )
| ~ spl6_81
| ~ spl6_97 ),
inference(resolution,[],[f1007,f782]) ).
fof(f782,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,slcrc0,X1),X1)
| sP1(X0,slcrc0,X1) )
| ~ spl6_81 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f2143,plain,
( spl6_179
| ~ spl6_80
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1026,f1006,f777,f2141]) ).
fof(f777,plain,
( spl6_80
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,X1,slcrc0),X1)
| sP1(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),slcrc0),X1)
| sK5(X0,sdtpldt0(X1,X2),slcrc0) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| sP1(X0,sdtpldt0(X1,X2),slcrc0) )
| ~ spl6_80
| ~ spl6_97 ),
inference(resolution,[],[f1007,f778]) ).
fof(f778,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,slcrc0),X1)
| sP1(X0,X1,slcrc0) )
| ~ spl6_80 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f2139,plain,
( spl6_178
| ~ spl6_49
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f913,f898,f459,f2137]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),X3),X0)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),X3),X3)
| sP1(X2,sdtmndt0(X0,X1),X3) )
| ~ spl6_49
| ~ spl6_90 ),
inference(resolution,[],[f899,f460]) ).
fof(f2135,plain,
( spl6_177
| ~ spl6_49
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f911,f898,f459,f2133]) ).
fof(f911,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,X3,sdtmndt0(X0,X1)),X0)
| aElementOf0(sK5(X2,X3,sdtmndt0(X0,X1)),X3)
| sP1(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_49
| ~ spl6_90 ),
inference(resolution,[],[f899,f460]) ).
fof(f2118,plain,
( spl6_176
| ~ spl6_25
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1014,f1006,f256,f2116]) ).
fof(f1014,plain,
( ! [X0,X1] :
( aElementOf0(sK3(sdtpldt0(X0,X1)),X0)
| sK3(sdtpldt0(X0,X1)) = X1
| ~ aElement0(X1)
| ~ aSet0(X0)
| slcrc0 = sdtpldt0(X0,X1)
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl6_25
| ~ spl6_97 ),
inference(resolution,[],[f1007,f257]) ).
fof(f2074,plain,
( spl6_175
| ~ spl6_82
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f910,f898,f785,f2072]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(X0,X1)),X0)
| sP1(X2,sdtmndt0(X0,X1),sdtmndt0(X0,X1)) )
| ~ spl6_82
| ~ spl6_90 ),
inference(resolution,[],[f899,f786]) ).
fof(f2070,plain,
( spl6_174
| ~ spl6_36
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f903,f898,f320,f2068]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK2(X2,sdtmndt0(X0,X1)),X0)
| aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X2) )
| ~ spl6_36
| ~ spl6_90 ),
inference(resolution,[],[f899,f321]) ).
fof(f2010,plain,
( spl6_173
| ~ spl6_50
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1081,f1043,f493,f2008]) ).
fof(f1081,plain,
( ! [X0,X1] :
( sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1)
| ~ aElementOf0(sK4(X0,X1,X1),X1)
| ~ aElement0(sK4(X0,X1,X1)) )
| ~ spl6_50
| ~ spl6_100 ),
inference(duplicate_literal_removal,[],[f1071]) ).
fof(f1071,plain,
( ! [X0,X1] :
( sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1)
| ~ aElementOf0(sK4(X0,X1,X1),X1)
| ~ aElement0(sK4(X0,X1,X1))
| sP0(X0,X1,X1) )
| ~ spl6_50
| ~ spl6_100 ),
inference(resolution,[],[f1044,f494]) ).
fof(f2006,plain,
( spl6_172
| ~ spl6_53
| ~ spl6_82 ),
inference(avatar_split_clause,[],[f811,f785,f537,f2004]) ).
fof(f811,plain,
( ! [X0,X1] :
( sP1(X0,X1,X1)
| sK5(X0,X1,X1) = X0
| ~ aElementOf0(sK5(X0,X1,X1),X1)
| ~ aElement0(sK5(X0,X1,X1)) )
| ~ spl6_53
| ~ spl6_82 ),
inference(duplicate_literal_removal,[],[f805]) ).
fof(f805,plain,
( ! [X0,X1] :
( sP1(X0,X1,X1)
| sK5(X0,X1,X1) = X0
| ~ aElementOf0(sK5(X0,X1,X1),X1)
| ~ aElement0(sK5(X0,X1,X1))
| sP1(X0,X1,X1) )
| ~ spl6_53
| ~ spl6_82 ),
inference(resolution,[],[f786,f538]) ).
fof(f1991,plain,
( spl6_171
| ~ spl6_25
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f904,f898,f256,f1989]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK3(sdtmndt0(X0,X1)),X0)
| slcrc0 = sdtmndt0(X0,X1)
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl6_25
| ~ spl6_90 ),
inference(resolution,[],[f899,f257]) ).
fof(f1967,plain,
( ~ spl6_3
| spl6_170
| ~ spl6_34
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1709,f1224,f309,f1965,f146]) ).
fof(f1965,plain,
( spl6_170
<=> ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f1709,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_34
| ~ spl6_120 ),
inference(resolution,[],[f1226,f310]) ).
fof(f1939,plain,
( spl6_169
| ~ spl6_93
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1021,f1006,f938,f1937]) ).
fof(f938,plain,
( spl6_93
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) )
| ~ spl6_93
| ~ spl6_97 ),
inference(resolution,[],[f1007,f939]) ).
fof(f939,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f1935,plain,
( spl6_168
| ~ spl6_92
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1019,f1006,f934,f1933]) ).
fof(f934,plain,
( spl6_92
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f1019,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_92
| ~ spl6_97 ),
inference(resolution,[],[f1007,f935]) ).
fof(f935,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_92 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1905,plain,
( spl6_167
| ~ spl6_81
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f918,f898,f781,f1903]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,slcrc0,sdtmndt0(X0,X1)),X0)
| sP1(X2,slcrc0,sdtmndt0(X0,X1)) )
| ~ spl6_81
| ~ spl6_90 ),
inference(resolution,[],[f899,f782]) ).
fof(f1901,plain,
( spl6_166
| ~ spl6_80
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f914,f898,f777,f1899]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),slcrc0),X0)
| sP1(X2,sdtmndt0(X0,X1),slcrc0) )
| ~ spl6_80
| ~ spl6_90 ),
inference(resolution,[],[f899,f778]) ).
fof(f1897,plain,
( spl6_165
| ~ spl6_42
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f882,f822,f373,f1895]) ).
fof(f1895,plain,
( spl6_165
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK4(X2,X3,sdtmndt0(X0,X1)))
| sP0(X2,X3,sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f822,plain,
( spl6_85
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK4(X2,X3,sdtmndt0(X0,X1)))
| sP0(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_42
| ~ spl6_85 ),
inference(duplicate_literal_removal,[],[f865]) ).
fof(f865,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK4(X2,X3,sdtmndt0(X0,X1)))
| aElement0(sK4(X2,X3,sdtmndt0(X0,X1)))
| sP0(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_42
| ~ spl6_85 ),
inference(resolution,[],[f823,f374]) ).
fof(f823,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElement0(X2) )
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1893,plain,
( spl6_164
| ~ spl6_45
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f881,f822,f385,f1891]) ).
fof(f1891,plain,
( spl6_164
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK5(X2,X3,sdtmndt0(X0,X1)))
| sP1(X2,X3,sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f385,plain,
( spl6_45
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElement0(sK5(X0,X1,X2))
| aElementOf0(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK5(X2,X3,sdtmndt0(X0,X1)))
| sP1(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_45
| ~ spl6_85 ),
inference(duplicate_literal_removal,[],[f871]) ).
fof(f871,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK5(X2,X3,sdtmndt0(X0,X1)))
| aElement0(sK5(X2,X3,sdtmndt0(X0,X1)))
| sP1(X2,X3,sdtmndt0(X0,X1)) )
| ~ spl6_45
| ~ spl6_85 ),
inference(resolution,[],[f823,f386]) ).
fof(f386,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,X2),X2)
| aElement0(sK5(X0,X1,X2))
| sP1(X0,X1,X2) )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f1889,plain,
( spl6_163
| ~ spl6_42
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f858,f818,f373,f1887]) ).
fof(f1887,plain,
( spl6_163
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK4(X2,X3,sdtpldt0(X0,X1)))
| sP0(X2,X3,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f818,plain,
( spl6_84
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f858,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK4(X2,X3,sdtpldt0(X0,X1)))
| sP0(X2,X3,sdtpldt0(X0,X1)) )
| ~ spl6_42
| ~ spl6_84 ),
inference(duplicate_literal_removal,[],[f843]) ).
fof(f843,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK4(X2,X3,sdtpldt0(X0,X1)))
| aElement0(sK4(X2,X3,sdtpldt0(X0,X1)))
| sP0(X2,X3,sdtpldt0(X0,X1)) )
| ~ spl6_42
| ~ spl6_84 ),
inference(resolution,[],[f819,f374]) ).
fof(f819,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElement0(X2) )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f1885,plain,
( spl6_162
| ~ spl6_45
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f857,f818,f385,f1883]) ).
fof(f1883,plain,
( spl6_162
<=> ! [X0,X3,X2,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK5(X2,X3,sdtpldt0(X0,X1)))
| sP1(X2,X3,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f857,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK5(X2,X3,sdtpldt0(X0,X1)))
| sP1(X2,X3,sdtpldt0(X0,X1)) )
| ~ spl6_45
| ~ spl6_84 ),
inference(duplicate_literal_removal,[],[f849]) ).
fof(f849,plain,
( ! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK5(X2,X3,sdtpldt0(X0,X1)))
| aElement0(sK5(X2,X3,sdtpldt0(X0,X1)))
| sP1(X2,X3,sdtpldt0(X0,X1)) )
| ~ spl6_45
| ~ spl6_84 ),
inference(resolution,[],[f819,f386]) ).
fof(f1792,plain,
( spl6_161
| ~ spl6_79
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1030,f1006,f746,f1790]) ).
fof(f746,plain,
( spl6_79
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f1030,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(X1,X2)) )
| ~ spl6_79
| ~ spl6_97 ),
inference(resolution,[],[f1007,f747]) ).
fof(f747,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1788,plain,
( ~ spl6_3
| ~ spl6_160
| spl6_95
| ~ spl6_24
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1710,f1224,f252,f987,f1785,f146]) ).
fof(f1785,plain,
( spl6_160
<=> isFinite0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f1710,plain,
( isFinite0(sdtmndt0(xS,xx))
| ~ isFinite0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_24
| ~ spl6_120 ),
inference(resolution,[],[f1226,f253]) ).
fof(f1783,plain,
( spl6_159
| ~ spl6_78
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1027,f1006,f742,f1781]) ).
fof(f742,plain,
( spl6_78
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_78
| ~ spl6_97 ),
inference(resolution,[],[f1007,f743]) ).
fof(f743,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f1779,plain,
( spl6_158
| ~ spl6_90
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f977,f938,f898,f1777]) ).
fof(f977,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X1,X2)),X1) )
| ~ spl6_90
| ~ spl6_93 ),
inference(resolution,[],[f939,f899]) ).
fof(f1775,plain,
( spl6_157
| ~ spl6_90
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f956,f934,f898,f1773]) ).
fof(f956,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK4(X0,sdtmndt0(X1,X2),sdtpldt0(sdtmndt0(xS,xx),xx)),X1) )
| ~ spl6_90
| ~ spl6_92 ),
inference(resolution,[],[f935,f899]) ).
fof(f1762,plain,
( spl6_156
| ~ spl6_15
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f931,f923,f201,f1760]) ).
fof(f1760,plain,
( spl6_156
<=> ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f931,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_15
| ~ spl6_91 ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f930,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_15
| ~ spl6_91 ),
inference(resolution,[],[f924,f202]) ).
fof(f1751,plain,
( spl6_155
| ~ spl6_17
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f959,f934,f214,f1749]) ).
fof(f959,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_92 ),
inference(duplicate_literal_removal,[],[f950]) ).
fof(f950,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_92 ),
inference(resolution,[],[f935,f215]) ).
fof(f1706,plain,
( ~ spl6_3
| spl6_120
| ~ spl6_106
| spl6_121 ),
inference(avatar_split_clause,[],[f1232,f1228,f1136,f1224,f146]) ).
fof(f1228,plain,
( spl6_121
<=> aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f1232,plain,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_106
| spl6_121 ),
inference(resolution,[],[f1230,f1137]) ).
fof(f1230,plain,
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))
| spl6_121 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1661,plain,
( spl6_154
| ~ spl6_63
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1020,f1006,f625,f1659]) ).
fof(f625,plain,
( spl6_63
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),X1),X1)
| sK4(X0,sdtmndt0(xS,xx),X1) = X0
| sP0(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f1020,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),X1)
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),xS)
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X0 )
| ~ spl6_63
| ~ spl6_97 ),
inference(resolution,[],[f1007,f626]) ).
fof(f626,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),X1),xS)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),X1),X1)
| sP0(X0,sdtmndt0(xS,xx),X1)
| sK4(X0,sdtmndt0(xS,xx),X1) = X0 )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f1657,plain,
( spl6_153
| ~ spl6_62
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1018,f1006,f621,f1655]) ).
fof(f621,plain,
( spl6_62
<=> ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1)
| sK4(X0,X1,sdtmndt0(xS,xx)) = X0
| sP0(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),X1)
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),xS)
| sP0(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_62
| ~ spl6_97 ),
inference(resolution,[],[f1007,f622]) ).
fof(f622,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS)
| aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1)
| sP0(X0,X1,sdtmndt0(xS,xx))
| sK4(X0,X1,sdtmndt0(xS,xx)) = X0 )
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1653,plain,
( spl6_152
| ~ spl6_79
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f920,f898,f746,f1651]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)),X0)
| aElementOf0(sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)),sdtmndt0(xS,xx))
| sP1(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1))
| xx = sK5(X2,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(X0,X1)) )
| ~ spl6_79
| ~ spl6_90 ),
inference(resolution,[],[f899,f747]) ).
fof(f1649,plain,
( spl6_151
| ~ spl6_78
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f916,f898,f742,f1647]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)),X0)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X2,sdtmndt0(X0,X1),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_78
| ~ spl6_90 ),
inference(resolution,[],[f899,f743]) ).
fof(f1641,plain,
( ~ spl6_9
| spl6_150
| ~ spl6_47
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f619,f607,f393,f1639,f174]) ).
fof(f1639,plain,
( spl6_150
<=> ! [X0,X1] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0)
| aSubsetOf0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f607,plain,
( spl6_61
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f619,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aSet0(slcrc0)
| ~ aSet0(X1) )
| ~ spl6_47
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f610]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aSet0(X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X1) )
| ~ spl6_47
| ~ spl6_61 ),
inference(resolution,[],[f608,f394]) ).
fof(f608,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) )
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f1583,plain,
( spl6_149
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f979,f938,f1581]) ).
fof(f979,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_93 ),
inference(factoring,[],[f939]) ).
fof(f1579,plain,
( spl6_148
| ~ spl6_6
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f963,f938,f160,f1577]) ).
fof(f963,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS) )
| ~ spl6_6
| ~ spl6_93 ),
inference(resolution,[],[f939,f161]) ).
fof(f1575,plain,
( spl6_147
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f958,f934,f1573]) ).
fof(f958,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP0(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_92 ),
inference(factoring,[],[f935]) ).
fof(f1571,plain,
( spl6_146
| ~ spl6_6
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f942,f934,f160,f1569]) ).
fof(f942,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_92 ),
inference(resolution,[],[f935,f161]) ).
fof(f1564,plain,
( spl6_145
| ~ spl6_15
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f740,f735,f201,f1562]) ).
fof(f1562,plain,
( spl6_145
<=> ! [X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f740,plain,
( ! [X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_15
| ~ spl6_77 ),
inference(duplicate_literal_removal,[],[f739]) ).
fof(f739,plain,
( ! [X0,X1] :
( ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_15
| ~ spl6_77 ),
inference(resolution,[],[f736,f202]) ).
fof(f1553,plain,
( spl6_144
| ~ spl6_3
| ~ spl6_113
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1243,f1235,f1173,f146,f1550]) ).
fof(f1235,plain,
( spl6_122
<=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f1243,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ spl6_113
| ~ spl6_122 ),
inference(resolution,[],[f1237,f1174]) ).
fof(f1237,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ spl6_122 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1471,plain,
( spl6_143
| ~ spl6_60
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1031,f1006,f579,f1469]) ).
fof(f579,plain,
( spl6_60
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),X1)
| sP1(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f1031,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),X1)
| sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(X1,X2)) )
| ~ spl6_60
| ~ spl6_97 ),
inference(resolution,[],[f1007,f580]) ).
fof(f580,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),xS)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),X1)
| sP1(X0,sdtmndt0(xS,xx),X1) )
| ~ spl6_60 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f1467,plain,
( spl6_142
| ~ spl6_59
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1028,f1006,f575,f1465]) ).
fof(f575,plain,
( spl6_59
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| sP1(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f1028,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),X1)
| sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) = X2
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtpldt0(X1,X2),sdtmndt0(xS,xx)) )
| ~ spl6_59
| ~ spl6_97 ),
inference(resolution,[],[f1007,f576]) ).
fof(f576,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS)
| aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| sP1(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1458,plain,
( ~ spl6_1
| spl6_141
| ~ spl6_34
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1410,f1191,f309,f1456,f136]) ).
fof(f1456,plain,
( spl6_141
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f1191,plain,
( spl6_115
<=> aSubsetOf0(xS,sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f1410,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx)) )
| ~ spl6_34
| ~ spl6_115 ),
inference(resolution,[],[f1193,f310]) ).
fof(f1193,plain,
( aSubsetOf0(xS,sdtmndt0(xS,xx))
| ~ spl6_115 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1454,plain,
( spl6_140
| ~ spl6_63
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f909,f898,f625,f1452]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),X0)
| aElementOf0(sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),xS)
| sP0(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1))
| sK4(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)) = X2 )
| ~ spl6_63
| ~ spl6_90 ),
inference(resolution,[],[f899,f626]) ).
fof(f1450,plain,
( spl6_139
| ~ spl6_62
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f908,f898,f621,f1448]) ).
fof(f908,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),X0)
| aElementOf0(sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),xS)
| sP0(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx))
| sK4(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)) = X2 )
| ~ spl6_62
| ~ spl6_90 ),
inference(resolution,[],[f899,f622]) ).
fof(f1446,plain,
( spl6_138
| ~ spl6_17
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f760,f742,f214,f1444]) ).
fof(f760,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_78 ),
inference(duplicate_literal_removal,[],[f755]) ).
fof(f755,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_78 ),
inference(resolution,[],[f743,f215]) ).
fof(f1436,plain,
( spl6_137
| ~ spl6_14
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1048,f1035,f197,f1434]) ).
fof(f1048,plain,
( ! [X0] :
( sK4(X0,slcrc0,slcrc0) = X0
| sP0(X0,slcrc0,slcrc0) )
| ~ spl6_14
| ~ spl6_98 ),
inference(resolution,[],[f1036,f198]) ).
fof(f1428,plain,
( ~ spl6_9
| spl6_136
| ~ spl6_40
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f618,f607,f362,f1426,f174]) ).
fof(f1426,plain,
( spl6_136
<=> ! [X0] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f618,plain,
( ! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl6_40
| ~ spl6_61 ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f611,plain,
( ! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl6_40
| ~ spl6_61 ),
inference(resolution,[],[f608,f363]) ).
fof(f1406,plain,
( spl6_115
| ~ spl6_1
| ~ spl6_7
| ~ spl6_86
| spl6_116 ),
inference(avatar_split_clause,[],[f1199,f1195,f826,f164,f136,f1191]) ).
fof(f1195,plain,
( spl6_116
<=> aElement0(sK2(sdtmndt0(xS,xx),xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f1199,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(xS,sdtmndt0(xS,xx))
| ~ spl6_86
| spl6_116 ),
inference(resolution,[],[f1197,f827]) ).
fof(f1197,plain,
( ~ aElement0(sK2(sdtmndt0(xS,xx),xS))
| spl6_116 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1405,plain,
( spl6_135
| ~ spl6_17
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1061,f1039,f214,f1403]) ).
fof(f1061,plain,
( ! [X0] :
( sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| sP0(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK4(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_99 ),
inference(resolution,[],[f1040,f215]) ).
fof(f1401,plain,
( spl6_134
| ~ spl6_17
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1049,f1035,f214,f1399]) ).
fof(f1049,plain,
( ! [X0] :
( sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) )
| ~ spl6_17
| ~ spl6_98 ),
inference(resolution,[],[f1036,f215]) ).
fof(f1361,plain,
( spl6_133
| ~ spl6_6
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f762,f746,f160,f1359]) ).
fof(f762,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS) )
| ~ spl6_6
| ~ spl6_79 ),
inference(resolution,[],[f747,f161]) ).
fof(f1357,plain,
( spl6_132
| ~ spl6_6
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f749,f742,f160,f1355]) ).
fof(f749,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_78 ),
inference(resolution,[],[f743,f161]) ).
fof(f1339,plain,
( spl6_131
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f773,f746,f1337]) ).
fof(f773,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)) )
| ~ spl6_79 ),
inference(factoring,[],[f747]) ).
fof(f1335,plain,
( spl6_130
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f759,f742,f1333]) ).
fof(f759,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| sP1(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = sK5(X0,sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_78 ),
inference(factoring,[],[f743]) ).
fof(f1320,plain,
( spl6_129
| ~ spl6_15
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f686,f681,f201,f1318]) ).
fof(f686,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS) )
| ~ spl6_15
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f685]) ).
fof(f685,plain,
( ! [X0] :
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| xx = sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS)
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_15
| ~ spl6_69 ),
inference(resolution,[],[f682,f202]) ).
fof(f1281,plain,
( spl6_128
| ~ spl6_60
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f921,f898,f579,f1279]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),X0)
| aElementOf0(sK5(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)),xS)
| sP1(X2,sdtmndt0(xS,xx),sdtmndt0(X0,X1)) )
| ~ spl6_60
| ~ spl6_90 ),
inference(resolution,[],[f899,f580]) ).
fof(f1277,plain,
( spl6_127
| ~ spl6_59
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f917,f898,f575,f1275]) ).
fof(f917,plain,
( ! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),X0)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)),xS)
| sP1(X2,sdtmndt0(X0,X1),sdtmndt0(xS,xx)) )
| ~ spl6_59
| ~ spl6_90 ),
inference(resolution,[],[f899,f576]) ).
fof(f1261,plain,
( spl6_126
| ~ spl6_17
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f799,f781,f214,f1259]) ).
fof(f799,plain,
( ! [X0] :
( sP1(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_81 ),
inference(resolution,[],[f782,f215]) ).
fof(f1257,plain,
( spl6_125
| ~ spl6_17
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f791,f777,f214,f1255]) ).
fof(f791,plain,
( ! [X0] :
( sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0) )
| ~ spl6_17
| ~ spl6_80 ),
inference(resolution,[],[f778,f215]) ).
fof(f1253,plain,
( ~ spl6_1
| spl6_124
| ~ spl6_9
| ~ spl6_61
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1205,f1173,f607,f174,f1250,f136]) ).
fof(f1250,plain,
( spl6_124
<=> aSubsetOf0(slcrc0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f1205,plain,
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl6_61
| ~ spl6_113 ),
inference(resolution,[],[f1174,f608]) ).
fof(f1242,plain,
( ~ spl6_3
| ~ spl6_1
| spl6_122
| spl6_123
| ~ spl6_37
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f697,f689,f324,f1239,f1235,f136,f146]) ).
fof(f1239,plain,
( spl6_123
<=> xx = sK2(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f689,plain,
( spl6_70
<=> ! [X0] :
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f697,plain,
( xx = sK2(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_37
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( xx = sK2(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl6_37
| ~ spl6_70 ),
inference(resolution,[],[f690,f325]) ).
fof(f690,plain,
( ! [X0] :
( aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(X0) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f1231,plain,
( ~ spl6_3
| ~ spl6_1
| spl6_120
| ~ spl6_121
| ~ spl6_36
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f687,f681,f320,f1228,f1224,f136,f146]) ).
fof(f687,plain,
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_36
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f684]) ).
fof(f684,plain,
( ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_36
| ~ spl6_69 ),
inference(resolution,[],[f682,f321]) ).
fof(f1219,plain,
( spl6_119
| ~ spl6_6
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f637,f621,f160,f1217]) ).
fof(f1217,plain,
( spl6_119
<=> ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS)
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f637,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS)
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0 )
| ~ spl6_6
| ~ spl6_62 ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS)
| sP0(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) = X0
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_62 ),
inference(resolution,[],[f622,f161]) ).
fof(f1210,plain,
( spl6_118
| ~ spl6_6
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f693,f689,f160,f1208]) ).
fof(f693,plain,
( ! [X0] :
( xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) )
| ~ spl6_6
| ~ spl6_70 ),
inference(resolution,[],[f690,f161]) ).
fof(f1203,plain,
( spl6_117
| ~ spl6_4
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f694,f689,f151,f1201]) ).
fof(f1201,plain,
( spl6_117
<=> ! [X0] :
( xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElement0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f694,plain,
( ! [X0] :
( xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElement0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_4
| ~ spl6_70 ),
inference(resolution,[],[f690,f152]) ).
fof(f1198,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_114
| spl6_115
| ~ spl6_116
| ~ spl6_36
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f673,f668,f320,f1195,f1191,f1187,f164,f136]) ).
fof(f1187,plain,
( spl6_114
<=> xx = sK2(sdtmndt0(xS,xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f673,plain,
( ~ aElement0(sK2(sdtmndt0(xS,xx),xS))
| aSubsetOf0(xS,sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl6_36
| ~ spl6_67 ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f672,plain,
( ~ aElement0(sK2(sdtmndt0(xS,xx),xS))
| aSubsetOf0(xS,sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtmndt0(xS,xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl6_36
| ~ spl6_67 ),
inference(resolution,[],[f669,f321]) ).
fof(f1175,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_113
| ~ spl6_47
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f883,f813,f393,f1173,f164,f136]) ).
fof(f813,plain,
( spl6_83
<=> aSubsetOf0(sdtmndt0(xS,xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f883,plain,
( ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(X0) )
| ~ spl6_47
| ~ spl6_83 ),
inference(resolution,[],[f815,f394]) ).
fof(f815,plain,
( aSubsetOf0(sdtmndt0(xS,xx),xS)
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f1171,plain,
( spl6_112
| ~ spl6_6
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1065,f1039,f160,f1169]) ).
fof(f1169,plain,
( spl6_112
<=> ! [X0] :
( sK4(X0,slcrc0,sdtmndt0(xS,xx)) = X0
| sP0(X0,slcrc0,sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f1065,plain,
( ! [X0] :
( sK4(X0,slcrc0,sdtmndt0(xS,xx)) = X0
| sP0(X0,slcrc0,sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,slcrc0,sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_99 ),
inference(resolution,[],[f1040,f161]) ).
fof(f1167,plain,
( spl6_111
| ~ spl6_6
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1053,f1035,f160,f1165]) ).
fof(f1165,plain,
( spl6_111
<=> ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),slcrc0) = X0
| sP0(X0,sdtmndt0(xS,xx),slcrc0)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),slcrc0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f1053,plain,
( ! [X0] :
( sK4(X0,sdtmndt0(xS,xx),slcrc0) = X0
| sP0(X0,sdtmndt0(xS,xx),slcrc0)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_98 ),
inference(resolution,[],[f1036,f161]) ).
fof(f1163,plain,
( spl6_110
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f648,f625,f1161]) ).
fof(f648,plain,
( ! [X0] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),xS),xS)
| sP0(X0,sdtmndt0(xS,xx),xS)
| sK4(X0,sdtmndt0(xS,xx),xS) = X0 )
| ~ spl6_63 ),
inference(factoring,[],[f626]) ).
fof(f1159,plain,
( spl6_109
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f636,f621,f1157]) ).
fof(f636,plain,
( ! [X0] :
( aElementOf0(sK4(X0,xS,sdtmndt0(xS,xx)),xS)
| sP0(X0,xS,sdtmndt0(xS,xx))
| sK4(X0,xS,sdtmndt0(xS,xx)) = X0 )
| ~ spl6_62 ),
inference(factoring,[],[f622]) ).
fof(f1152,plain,
( spl6_108
| ~ spl6_6
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f591,f575,f160,f1150]) ).
fof(f1150,plain,
( spl6_108
<=> ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f591,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)) )
| ~ spl6_6
| ~ spl6_59 ),
inference(duplicate_literal_removal,[],[f588]) ).
fof(f588,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS)
| sP1(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_59 ),
inference(resolution,[],[f576,f161]) ).
fof(f1142,plain,
( spl6_107
| ~ spl6_14
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f790,f777,f197,f1140]) ).
fof(f790,plain,
( ! [X0] : sP1(X0,slcrc0,slcrc0)
| ~ spl6_14
| ~ spl6_80 ),
inference(resolution,[],[f778,f198]) ).
fof(f1138,plain,
( ~ spl6_7
| spl6_106
| ~ spl6_19
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f572,f568,f223,f1136,f164]) ).
fof(f572,plain,
( ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0)
| aElement0(sK2(X0,sdtmndt0(xS,xx)))
| ~ aSet0(xS) )
| ~ spl6_19
| ~ spl6_58 ),
inference(resolution,[],[f569,f224]) ).
fof(f1124,plain,
( spl6_105
| ~ spl6_6
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f801,f781,f160,f1122]) ).
fof(f1122,plain,
( spl6_105
<=> ! [X0] :
( sP1(X0,slcrc0,sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,slcrc0,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f801,plain,
( ! [X0] :
( sP1(X0,slcrc0,sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,slcrc0,sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_81 ),
inference(resolution,[],[f782,f161]) ).
fof(f1120,plain,
( spl6_104
| ~ spl6_6
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f793,f777,f160,f1118]) ).
fof(f1118,plain,
( spl6_104
<=> ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),slcrc0)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),slcrc0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f793,plain,
( ! [X0] :
( sP1(X0,sdtmndt0(xS,xx),slcrc0)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),slcrc0),xS) )
| ~ spl6_6
| ~ spl6_80 ),
inference(resolution,[],[f778,f161]) ).
fof(f1116,plain,
( spl6_103
| ~ spl6_60 ),
inference(avatar_split_clause,[],[f602,f579,f1114]) ).
fof(f602,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),xS),xS)
| sP1(X0,sdtmndt0(xS,xx),xS) )
| ~ spl6_60 ),
inference(factoring,[],[f580]) ).
fof(f1112,plain,
( spl6_102
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f590,f575,f1110]) ).
fof(f590,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS,sdtmndt0(xS,xx)),xS)
| sP1(X0,xS,sdtmndt0(xS,xx)) )
| ~ spl6_59 ),
inference(factoring,[],[f576]) ).
fof(f1085,plain,
( spl6_101
| ~ spl6_33
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f434,f381,f299,f1083]) ).
fof(f299,plain,
( spl6_33
<=> ! [X0,X1] :
( sP1(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f381,plain,
( spl6_44
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) )
| ~ spl6_33
| ~ spl6_44 ),
inference(resolution,[],[f382,f300]) ).
fof(f300,plain,
( ! [X0,X1] :
( sP1(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f382,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f1045,plain,
( spl6_100
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f534,f517,f1043]) ).
fof(f534,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,X1),X1)
| sK4(X0,X1,X1) = X0
| sP0(X0,X1,X1) )
| ~ spl6_52 ),
inference(factoring,[],[f518]) ).
fof(f1041,plain,
( spl6_99
| ~ spl6_14
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f529,f517,f197,f1039]) ).
fof(f529,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,slcrc0,X1),X1)
| sK4(X0,slcrc0,X1) = X0
| sP0(X0,slcrc0,X1) )
| ~ spl6_14
| ~ spl6_52 ),
inference(resolution,[],[f518,f198]) ).
fof(f1037,plain,
( spl6_98
| ~ spl6_14
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f522,f517,f197,f1035]) ).
fof(f522,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,slcrc0),X1)
| sK4(X0,X1,slcrc0) = X0
| sP0(X0,X1,slcrc0) )
| ~ spl6_14
| ~ spl6_52 ),
inference(resolution,[],[f518,f198]) ).
fof(f1008,plain,
( spl6_97
| ~ spl6_32
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f369,f358,f295,f1006]) ).
fof(f295,plain,
( spl6_32
<=> ! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f358,plain,
( spl6_39
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f369,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_32
| ~ spl6_39 ),
inference(resolution,[],[f359,f296]) ).
fof(f296,plain,
( ! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f359,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 )
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f994,plain,
( spl6_96
| ~ spl6_32
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f356,f328,f295,f992]) ).
fof(f328,plain,
( spl6_38
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f356,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl6_32
| ~ spl6_38 ),
inference(resolution,[],[f329,f296]) ).
fof(f329,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f990,plain,
( ~ spl6_7
| ~ spl6_94
| spl6_95
| ~ spl6_24
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f886,f813,f252,f987,f983,f164]) ).
fof(f983,plain,
( spl6_94
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f886,plain,
( isFinite0(sdtmndt0(xS,xx))
| ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl6_24
| ~ spl6_83 ),
inference(resolution,[],[f815,f253]) ).
fof(f940,plain,
( spl6_93
| ~ spl6_17
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f530,f517,f214,f938]) ).
fof(f530,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) = X0
| sP0(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| xx = sK4(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_17
| ~ spl6_52 ),
inference(resolution,[],[f518,f215]) ).
fof(f936,plain,
( spl6_92
| ~ spl6_17
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f523,f517,f214,f934]) ).
fof(f523,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_52 ),
inference(resolution,[],[f518,f215]) ).
fof(f925,plain,
( spl6_91
| ~ spl6_16
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f545,f537,f208,f923]) ).
fof(f208,plain,
( spl6_16
<=> ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f545,plain,
( ! [X0,X1] :
( sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) )
| ~ spl6_16
| ~ spl6_53 ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f544,plain,
( ! [X0,X1] :
( sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_16
| ~ spl6_53 ),
inference(resolution,[],[f538,f209]) ).
fof(f209,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0) )
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f900,plain,
( spl6_90
| ~ spl6_31
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f305,f299,f291,f898]) ).
fof(f291,plain,
( spl6_31
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl6_31
| ~ spl6_33 ),
inference(resolution,[],[f300,f292]) ).
fof(f292,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f891,plain,
( spl6_89
| ~ spl6_15
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f546,f537,f201,f889]) ).
fof(f546,plain,
( ! [X0,X1] :
( sK5(X0,X1,sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl6_15
| ~ spl6_53 ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f543,plain,
( ! [X0,X1] :
( sK5(X0,X1,sdtmndt0(xS,xx)) = X0
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_15
| ~ spl6_53 ),
inference(resolution,[],[f538,f202]) ).
fof(f836,plain,
( spl6_88
| ~ spl6_19
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f443,f385,f223,f834]) ).
fof(f834,plain,
( spl6_88
<=> ! [X2,X0,X1] :
( aElement0(sK5(X0,X1,X2))
| sP1(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( aElement0(sK5(X0,X1,X2))
| sP1(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl6_19
| ~ spl6_45 ),
inference(duplicate_literal_removal,[],[f435]) ).
fof(f435,plain,
( ! [X2,X0,X1] :
( aElement0(sK5(X0,X1,X2))
| sP1(X0,X1,X2)
| aElement0(sK5(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl6_19
| ~ spl6_45 ),
inference(resolution,[],[f386,f224]) ).
fof(f832,plain,
( spl6_87
| ~ spl6_19
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f408,f373,f223,f830]) ).
fof(f830,plain,
( spl6_87
<=> ! [X2,X0,X1] :
( aElement0(sK4(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f408,plain,
( ! [X2,X0,X1] :
( aElement0(sK4(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl6_19
| ~ spl6_42 ),
inference(duplicate_literal_removal,[],[f400]) ).
fof(f400,plain,
( ! [X2,X0,X1] :
( aElement0(sK4(X0,X1,X2))
| sP0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl6_19
| ~ spl6_42 ),
inference(resolution,[],[f374,f224]) ).
fof(f828,plain,
( spl6_86
| ~ spl6_19
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f337,f320,f223,f826]) ).
fof(f337,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK2(X1,X0)) )
| ~ spl6_19
| ~ spl6_36 ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f331,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK2(X1,X0))
| ~ aSet0(X0) )
| ~ spl6_19
| ~ spl6_36 ),
inference(resolution,[],[f321,f224]) ).
fof(f824,plain,
( spl6_85
| ~ spl6_27
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f306,f299,f264,f822]) ).
fof(f264,plain,
( spl6_27
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f306,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) )
| ~ spl6_27
| ~ spl6_33 ),
inference(resolution,[],[f300,f265]) ).
fof(f265,plain,
( ! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f820,plain,
( spl6_84
| ~ spl6_26
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f303,f295,f260,f818]) ).
fof(f260,plain,
( spl6_26
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f303,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) )
| ~ spl6_26
| ~ spl6_32 ),
inference(resolution,[],[f296,f261]) ).
fof(f261,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f816,plain,
( ~ spl6_1
| ~ spl6_7
| spl6_83
| ~ spl6_37
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f573,f568,f324,f813,f164,f136]) ).
fof(f573,plain,
( aSubsetOf0(sdtmndt0(xS,xx),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl6_37
| ~ spl6_58 ),
inference(duplicate_literal_removal,[],[f571]) ).
fof(f571,plain,
( aSubsetOf0(sdtmndt0(xS,xx),xS)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(xS,xx),xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(xS)
| ~ spl6_37
| ~ spl6_58 ),
inference(resolution,[],[f569,f325]) ).
fof(f787,plain,
( spl6_82
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f474,f459,f785]) ).
fof(f474,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,X1),X1)
| sP1(X0,X1,X1) )
| ~ spl6_49 ),
inference(factoring,[],[f460]) ).
fof(f783,plain,
( spl6_81
| ~ spl6_14
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f469,f459,f197,f781]) ).
fof(f469,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,slcrc0,X1),X1)
| sP1(X0,slcrc0,X1) )
| ~ spl6_14
| ~ spl6_49 ),
inference(resolution,[],[f460,f198]) ).
fof(f779,plain,
( spl6_80
| ~ spl6_14
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f463,f459,f197,f777]) ).
fof(f463,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,slcrc0),X1)
| sP1(X0,X1,slcrc0) )
| ~ spl6_14
| ~ spl6_49 ),
inference(resolution,[],[f460,f198]) ).
fof(f748,plain,
( spl6_79
| ~ spl6_17
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f470,f459,f214,f746]) ).
fof(f470,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| sP1(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| xx = sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx),X1) )
| ~ spl6_17
| ~ spl6_49 ),
inference(resolution,[],[f460,f215]) ).
fof(f744,plain,
( spl6_78
| ~ spl6_17
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f464,f459,f214,f742]) ).
fof(f464,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_49 ),
inference(resolution,[],[f460,f215]) ).
fof(f737,plain,
( spl6_77
| ~ spl6_16
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f499,f493,f208,f735]) ).
fof(f499,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) )
| ~ spl6_16
| ~ spl6_50 ),
inference(duplicate_literal_removal,[],[f498]) ).
fof(f498,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),X1)
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP0(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aElement0(sK4(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_16
| ~ spl6_50 ),
inference(resolution,[],[f494,f209]) ).
fof(f728,plain,
( spl6_76
| ~ spl6_15
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f500,f493,f201,f726]) ).
fof(f500,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl6_15
| ~ spl6_50 ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f497,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK4(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK4(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_15
| ~ spl6_50 ),
inference(resolution,[],[f494,f202]) ).
fof(f719,plain,
( spl6_75
| ~ spl6_14
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f436,f385,f197,f717]) ).
fof(f717,plain,
( spl6_75
<=> ! [X0,X1] :
( aElement0(sK5(X0,X1,slcrc0))
| sP1(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f436,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,slcrc0))
| sP1(X0,X1,slcrc0) )
| ~ spl6_14
| ~ spl6_45 ),
inference(resolution,[],[f386,f198]) ).
fof(f715,plain,
( spl6_74
| ~ spl6_14
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f401,f373,f197,f713]) ).
fof(f713,plain,
( spl6_74
<=> ! [X0,X1] :
( aElement0(sK4(X0,X1,slcrc0))
| sP0(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f401,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,slcrc0))
| sP0(X0,X1,slcrc0) )
| ~ spl6_14
| ~ spl6_42 ),
inference(resolution,[],[f374,f198]) ).
fof(f711,plain,
( ~ spl6_7
| spl6_73
| ~ spl6_19
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f549,f281,f223,f708,f164]) ).
fof(f281,plain,
( spl6_29
<=> aElementOf0(sK3(sdtmndt0(xS,xx)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f549,plain,
( aElement0(sK3(sdtmndt0(xS,xx)))
| ~ aSet0(xS)
| ~ spl6_19
| ~ spl6_29 ),
inference(resolution,[],[f283,f224]) ).
fof(f283,plain,
( aElementOf0(sK3(sdtmndt0(xS,xx)),xS)
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f706,plain,
( spl6_72
| ~ spl6_21
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f307,f299,f231,f704]) ).
fof(f704,plain,
( spl6_72
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f307,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl6_21
| ~ spl6_33 ),
inference(resolution,[],[f300,f232]) ).
fof(f702,plain,
( spl6_71
| ~ spl6_28
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f304,f295,f268,f700]) ).
fof(f304,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl6_28
| ~ spl6_32 ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f302,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl6_28
| ~ spl6_32 ),
inference(resolution,[],[f296,f269]) ).
fof(f691,plain,
( ~ spl6_3
| spl6_70
| ~ spl6_17
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f333,f320,f214,f689,f146]) ).
fof(f333,plain,
( ! [X0] :
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK2(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_17
| ~ spl6_36 ),
inference(resolution,[],[f321,f215]) ).
fof(f683,plain,
( ~ spl6_3
| spl6_69
| ~ spl6_16
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f346,f324,f208,f681,f146]) ).
fof(f346,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtpldt0(sdtmndt0(xS,xx),xx),X0)) )
| ~ spl6_16
| ~ spl6_37 ),
inference(resolution,[],[f325,f209]) ).
fof(f678,plain,
( spl6_68
| ~ spl6_19
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f279,f256,f223,f676]) ).
fof(f676,plain,
( spl6_68
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f279,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK3(X0)) )
| ~ spl6_19
| ~ spl6_25 ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK3(X0))
| ~ aSet0(X0) )
| ~ spl6_19
| ~ spl6_25 ),
inference(resolution,[],[f257,f224]) ).
fof(f670,plain,
( ~ spl6_1
| spl6_67
| ~ spl6_15
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f345,f324,f201,f668,f136]) ).
fof(f345,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),X0)
| ~ aElementOf0(sK2(sdtmndt0(xS,xx),X0),xS)
| ~ aElement0(sK2(sdtmndt0(xS,xx),X0)) )
| ~ spl6_15
| ~ spl6_37 ),
inference(resolution,[],[f325,f202]) ).
fof(f663,plain,
( spl6_64
| spl6_65
| ~ spl6_3
| spl6_66
| ~ spl6_17
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f275,f256,f214,f660,f146,f656,f652]) ).
fof(f652,plain,
( spl6_64
<=> xx = sK3(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f656,plain,
( spl6_65
<=> aElementOf0(sK3(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f660,plain,
( spl6_66
<=> slcrc0 = sdtpldt0(sdtmndt0(xS,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f275,plain,
( slcrc0 = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK3(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK3(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_17
| ~ spl6_25 ),
inference(resolution,[],[f257,f215]) ).
fof(f627,plain,
( spl6_63
| ~ spl6_6
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f532,f517,f160,f625]) ).
fof(f532,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,sdtmndt0(xS,xx),X1),X1)
| sK4(X0,sdtmndt0(xS,xx),X1) = X0
| sP0(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK4(X0,sdtmndt0(xS,xx),X1),xS) )
| ~ spl6_6
| ~ spl6_52 ),
inference(resolution,[],[f518,f161]) ).
fof(f623,plain,
( spl6_62
| ~ spl6_6
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f525,f517,f160,f621]) ).
fof(f525,plain,
( ! [X0,X1] :
( aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),X1)
| sK4(X0,X1,sdtmndt0(xS,xx)) = X0
| sP0(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK4(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_52 ),
inference(resolution,[],[f518,f161]) ).
fof(f609,plain,
( ~ spl6_9
| spl6_61
| ~ spl6_14
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f332,f320,f197,f607,f174]) ).
fof(f332,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl6_14
| ~ spl6_36 ),
inference(resolution,[],[f321,f198]) ).
fof(f605,plain,
( ~ spl6_9
| ~ spl6_11
| ~ spl6_22
| spl6_51 ),
inference(avatar_split_clause,[],[f558,f512,f240,f183,f174]) ).
fof(f240,plain,
( spl6_22
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f558,plain,
( ~ aElement0(xx)
| ~ aSet0(slcrc0)
| ~ spl6_22
| spl6_51 ),
inference(resolution,[],[f513,f241]) ).
fof(f241,plain,
( ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f513,plain,
( ~ aSet0(sdtpldt0(slcrc0,xx))
| spl6_51 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f581,plain,
( spl6_60
| ~ spl6_6
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f472,f459,f160,f579]) ).
fof(f472,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),X1)
| sP1(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),xS) )
| ~ spl6_6
| ~ spl6_49 ),
inference(resolution,[],[f460,f161]) ).
fof(f577,plain,
( spl6_59
| ~ spl6_6
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f466,f459,f160,f575]) ).
fof(f466,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| sP1(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_49 ),
inference(resolution,[],[f460,f161]) ).
fof(f570,plain,
( ~ spl6_1
| spl6_58
| ~ spl6_6
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f335,f320,f160,f568,f136]) ).
fof(f335,plain,
( ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtmndt0(xS,xx)),xS) )
| ~ spl6_6
| ~ spl6_36 ),
inference(resolution,[],[f321,f161]) ).
fof(f566,plain,
( spl6_57
| ~ spl6_10
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f442,f385,f179,f564]) ).
fof(f442,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ spl6_10
| ~ spl6_45 ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f438,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx)))
| sP1(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(sK5(X0,X1,sdtpldt0(sdtmndt0(xS,xx),xx))) )
| ~ spl6_10
| ~ spl6_45 ),
inference(resolution,[],[f386,f180]) ).
fof(f562,plain,
( spl6_56
| ~ spl6_10
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f407,f373,f179,f560]) ).
fof(f557,plain,
( spl6_55
| ~ spl6_4
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f441,f385,f151,f555]) ).
fof(f441,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_4
| ~ spl6_45 ),
inference(duplicate_literal_removal,[],[f440]) ).
fof(f440,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx))
| aElement0(sK5(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_4
| ~ spl6_45 ),
inference(resolution,[],[f386,f152]) ).
fof(f553,plain,
( spl6_54
| ~ spl6_4
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f406,f373,f151,f551]) ).
fof(f406,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl6_4
| ~ spl6_42 ),
inference(duplicate_literal_removal,[],[f405]) ).
fof(f405,plain,
( ! [X0,X1] :
( aElement0(sK4(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| aElement0(sK4(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl6_4
| ~ spl6_42 ),
inference(resolution,[],[f374,f152]) ).
fof(f539,plain,
spl6_53,
inference(avatar_split_clause,[],[f117,f537]) ).
fof(f117,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK5(X0,X1,X2) = X0
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( sK5(X0,X1,X2) = X0
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) )
& ( ( sK5(X0,X1,X2) != X0
& aElementOf0(sK5(X0,X1,X2),X1)
& aElement0(sK5(X0,X1,X2)) )
| aElementOf0(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f70,f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK5(X0,X1,X2) = X0
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) )
& ( ( sK5(X0,X1,X2) != X0
& aElementOf0(sK5(X0,X1,X2),X1)
& aElement0(sK5(X0,X1,X2)) )
| aElementOf0(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f519,plain,
spl6_52,
inference(avatar_split_clause,[],[f104,f517]) ).
fof(f104,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK4(X0,X1,X2) = X0
| aElementOf0(sK4(X0,X1,X2),X1)
| aElementOf0(sK4(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ( sK4(X0,X1,X2) != X0
& ~ aElementOf0(sK4(X0,X1,X2),X1) )
| ~ aElement0(sK4(X0,X1,X2))
| ~ aElementOf0(sK4(X0,X1,X2),X2) )
& ( ( ( sK4(X0,X1,X2) = X0
| aElementOf0(sK4(X0,X1,X2),X1) )
& aElement0(sK4(X0,X1,X2)) )
| aElementOf0(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK4(X0,X1,X2) != X0
& ~ aElementOf0(sK4(X0,X1,X2),X1) )
| ~ aElement0(sK4(X0,X1,X2))
| ~ aElementOf0(sK4(X0,X1,X2),X2) )
& ( ( ( sK4(X0,X1,X2) = X0
| aElementOf0(sK4(X0,X1,X2),X1) )
& aElement0(sK4(X0,X1,X2)) )
| aElementOf0(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f515,plain,
( spl6_51
| ~ spl6_3
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f421,f285,f146,f512]) ).
fof(f421,plain,
( aSet0(sdtpldt0(slcrc0,xx))
| ~ spl6_3
| ~ spl6_30 ),
inference(superposition,[],[f148,f287]) ).
fof(f148,plain,
( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f495,plain,
spl6_50,
inference(avatar_split_clause,[],[f105,f493]) ).
fof(f105,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK4(X0,X1,X2),X1)
| ~ aElement0(sK4(X0,X1,X2))
| ~ aElementOf0(sK4(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f461,plain,
spl6_49,
inference(avatar_split_clause,[],[f115,f459]) ).
fof(f115,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElementOf0(sK5(X0,X1,X2),X1)
| aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f399,plain,
spl6_48,
inference(avatar_split_clause,[],[f133,f397]) ).
fof(f397,plain,
( spl6_48
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK4(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f133,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK4(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK4(X0,X1,X2) != X0
| ~ aElement0(sK4(X0,X1,X2))
| ~ aElementOf0(sK4(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f395,plain,
spl6_47,
inference(avatar_split_clause,[],[f122,f393]) ).
fof(f122,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f391,plain,
spl6_46,
inference(avatar_split_clause,[],[f120,f389]) ).
fof(f120,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP1(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f39,f46]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f387,plain,
spl6_45,
inference(avatar_split_clause,[],[f114,f385]) ).
fof(f114,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElement0(sK5(X0,X1,X2))
| aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f383,plain,
spl6_44,
inference(avatar_split_clause,[],[f113,f381]) ).
fof(f113,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f379,plain,
spl6_43,
inference(avatar_split_clause,[],[f109,f377]) ).
fof(f377,plain,
( spl6_43
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f109,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP0(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP0(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP0(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f37,f44]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f375,plain,
spl6_42,
inference(avatar_split_clause,[],[f103,f373]) ).
fof(f103,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| aElementOf0(sK4(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f368,plain,
spl6_41,
inference(avatar_split_clause,[],[f134,f366]) ).
fof(f366,plain,
( spl6_41
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK5(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f134,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK5(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK5(X0,X1,X2) != X0
| aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f364,plain,
spl6_40,
inference(avatar_split_clause,[],[f121,f362]) ).
fof(f121,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f360,plain,
spl6_39,
inference(avatar_split_clause,[],[f100,f358]) ).
fof(f100,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f330,plain,
spl6_38,
inference(avatar_split_clause,[],[f101,f328]) ).
fof(f101,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f326,plain,
spl6_37,
inference(avatar_split_clause,[],[f94,f324]) ).
fof(f94,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK2(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK2(X0,X1),X0)
& aElementOf0(sK2(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK2(X0,X1),X0)
& aElementOf0(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f322,plain,
spl6_36,
inference(avatar_split_clause,[],[f93,f320]) ).
fof(f93,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK2(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f318,plain,
( ~ spl6_35
| spl6_29
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f289,f285,f281,f315]) ).
fof(f289,plain,
( ~ aElementOf0(sK3(slcrc0),xS)
| spl6_29
| ~ spl6_30 ),
inference(forward_demodulation,[],[f282,f287]) ).
fof(f282,plain,
( ~ aElementOf0(sK3(sdtmndt0(xS,xx)),xS)
| spl6_29 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f311,plain,
spl6_34,
inference(avatar_split_clause,[],[f92,f309]) ).
fof(f92,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f301,plain,
spl6_33,
inference(avatar_split_clause,[],[f131,f299]) ).
fof(f131,plain,
! [X0,X1] :
( sP1(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f297,plain,
spl6_32,
inference(avatar_split_clause,[],[f128,f295]) ).
fof(f128,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f293,plain,
spl6_31,
inference(avatar_split_clause,[],[f111,f291]) ).
fof(f111,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f288,plain,
( spl6_29
| ~ spl6_1
| spl6_30
| ~ spl6_6
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f277,f256,f160,f285,f136,f281]) ).
fof(f277,plain,
( slcrc0 = sdtmndt0(xS,xx)
| ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(sK3(sdtmndt0(xS,xx)),xS)
| ~ spl6_6
| ~ spl6_25 ),
inference(resolution,[],[f257,f161]) ).
fof(f270,plain,
spl6_28,
inference(avatar_split_clause,[],[f127,f268]) ).
fof(f127,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ),
inference(equality_resolution,[],[f102]) ).
fof(f102,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f266,plain,
spl6_27,
inference(avatar_split_clause,[],[f110,f264]) ).
fof(f110,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f262,plain,
spl6_26,
inference(avatar_split_clause,[],[f99,f260]) ).
fof(f99,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f258,plain,
spl6_25,
inference(avatar_split_clause,[],[f98,f256]) ).
fof(f98,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK3(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK3(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f58,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f254,plain,
spl6_24,
inference(avatar_split_clause,[],[f95,f252]) ).
fof(f95,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f247,plain,
( ~ spl6_7
| spl6_11
| ~ spl6_13
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f234,f223,f192,f183,f164]) ).
fof(f234,plain,
( aElement0(xx)
| ~ aSet0(xS)
| ~ spl6_13
| ~ spl6_19 ),
inference(resolution,[],[f224,f194]) ).
fof(f194,plain,
( aElementOf0(xx,xS)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f246,plain,
spl6_23,
inference(avatar_split_clause,[],[f132,f244]) ).
fof(f244,plain,
( spl6_23
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f132,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f242,plain,
spl6_22,
inference(avatar_split_clause,[],[f129,f240]) ).
fof(f129,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f233,plain,
spl6_21,
inference(avatar_split_clause,[],[f130,f231]) ).
fof(f130,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP1(X4,X1,X2) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f229,plain,
spl6_20,
inference(avatar_split_clause,[],[f91,f227]) ).
fof(f227,plain,
( spl6_20
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f91,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f225,plain,
spl6_19,
inference(avatar_split_clause,[],[f90,f223]) ).
fof(f90,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f221,plain,
spl6_18,
inference(avatar_split_clause,[],[f89,f219]) ).
fof(f219,plain,
( spl6_18
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f89,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f216,plain,
spl6_17,
inference(avatar_split_clause,[],[f82,f214]) ).
fof(f82,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,xS)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f210,plain,
spl6_16,
inference(avatar_split_clause,[],[f83,f208]) ).
fof(f83,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f203,plain,
spl6_15,
inference(avatar_split_clause,[],[f79,f201]) ).
fof(f79,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f199,plain,
spl6_14,
inference(avatar_split_clause,[],[f125,f197]) ).
fof(f125,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f97]) ).
fof(f97,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f195,plain,
spl6_13,
inference(avatar_split_clause,[],[f87,f192]) ).
fof(f87,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617_02) ).
fof(f190,plain,
( ~ spl6_11
| spl6_12 ),
inference(avatar_split_clause,[],[f123,f187,f183]) ).
fof(f123,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f181,plain,
spl6_10,
inference(avatar_split_clause,[],[f81,f179]) ).
fof(f81,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f177,plain,
spl6_9,
inference(avatar_split_clause,[],[f126,f174]) ).
fof(f126,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f172,plain,
spl6_8,
inference(avatar_split_clause,[],[f88,f169]) ).
fof(f169,plain,
( spl6_8
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f88,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f167,plain,
spl6_7,
inference(avatar_split_clause,[],[f86,f164]) ).
fof(f86,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617) ).
fof(f162,plain,
spl6_6,
inference(avatar_split_clause,[],[f77,f160]) ).
fof(f77,plain,
! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f158,plain,
~ spl6_5,
inference(avatar_split_clause,[],[f85,f155]) ).
fof(f85,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(cnf_transformation,[],[f50]) ).
fof(f153,plain,
spl6_4,
inference(avatar_split_clause,[],[f76,f151]) ).
fof(f76,plain,
! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f149,plain,
spl6_3,
inference(avatar_split_clause,[],[f80,f146]) ).
fof(f80,plain,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cnf_transformation,[],[f50]) ).
fof(f144,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f124,f141]) ).
fof(f124,plain,
~ aElementOf0(xx,sdtmndt0(xS,xx)),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X1] :
( xx != X1
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f139,plain,
spl6_1,
inference(avatar_split_clause,[],[f75,f136]) ).
fof(f75,plain,
aSet0(sdtmndt0(xS,xx)),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.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 : Mon Apr 29 23:47:11 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (9662)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (9663)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (9665)WARNING: value z3 for option sas not known
% 0.21/0.38 % (9665)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)
% 0.21/0.38 % (9666)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (9668)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)
% 0.21/0.38 % (9664)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (9667)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)
% 0.21/0.39 % (9669)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)
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.46 TRYING [6]
% 0.21/0.49 TRYING [6]
% 0.21/0.52 TRYING [7]
% 1.52/0.56 TRYING [7]
% 2.22/0.73 TRYING [8]
% 2.22/0.73 TRYING [8]
% 2.74/0.75 % (9667)First to succeed.
% 2.98/0.78 % (9667)Refutation found. Thanks to Tanya!
% 2.98/0.78 % SZS status Theorem for theBenchmark
% 2.98/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.98/0.79 % (9667)------------------------------
% 2.98/0.79 % (9667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.98/0.79 % (9667)Termination reason: Refutation
% 2.98/0.79
% 2.98/0.79 % (9667)Memory used [KB]: 8015
% 2.98/0.79 % (9667)Time elapsed: 0.396 s
% 2.98/0.79 % (9667)Instructions burned: 1012 (million)
% 2.98/0.79 % (9667)------------------------------
% 2.98/0.79 % (9667)------------------------------
% 2.98/0.79 % (9662)Success in time 0.434 s
%------------------------------------------------------------------------------