TSTP Solution File: NUM584+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM584+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 May 21 02:10:06 EDT 2024
% Result : Theorem 9.96s 1.77s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1145
% Syntax : Number of formulae : 3790 ( 222 unt; 0 def)
% Number of atoms : 16216 (1666 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 21491 (9065 ~;10697 |; 492 &)
% (1109 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 1055 (1053 usr;1033 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 11 con; 0-3 aty)
% Number of variables : 4364 (4274 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20442,plain,
$false,
inference(avatar_sat_refutation,[],[f531,f536,f541,f546,f551,f556,f561,f566,f571,f576,f582,f587,f592,f597,f602,f607,f612,f616,f621,f626,f631,f636,f641,f645,f649,f653,f657,f661,f671,f676,f681,f685,f689,f693,f697,f701,f705,f709,f714,f718,f723,f728,f748,f754,f760,f764,f768,f772,f776,f780,f784,f788,f792,f796,f820,f824,f831,f835,f839,f843,f847,f851,f855,f859,f873,f893,f900,f904,f908,f912,f916,f920,f924,f928,f932,f936,f940,f944,f948,f953,f957,f961,f997,f1007,f1011,f1015,f1020,f1024,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1056,f1060,f1065,f1069,f1095,f1115,f1119,f1123,f1127,f1131,f1136,f1140,f1169,f1174,f1179,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1215,f1219,f1224,f1228,f1232,f1276,f1296,f1300,f1304,f1308,f1312,f1316,f1320,f1324,f1328,f1353,f1357,f1361,f1365,f1369,f1373,f1377,f1381,f1385,f1444,f1448,f1452,f1456,f1460,f1464,f1468,f1472,f1476,f1480,f1484,f1488,f1492,f1496,f1500,f1619,f1630,f1634,f1638,f1698,f1706,f1710,f1714,f1718,f1722,f1726,f1771,f1779,f1783,f1787,f1791,f1795,f1800,f1804,f1808,f1932,f1940,f1982,f1986,f1990,f1994,f2034,f2045,f2049,f2053,f2078,f2082,f2118,f2122,f2142,f2153,f2157,f2161,f2177,f2181,f2195,f2200,f2205,f2209,f2215,f2221,f2226,f2227,f2232,f2237,f2242,f2247,f2252,f2256,f2260,f2264,f2292,f2297,f2305,f2311,f2316,f2321,f2326,f2332,f2382,f2388,f2393,f2401,f2402,f2406,f2410,f2414,f2418,f2422,f2426,f2430,f2450,f2455,f2474,f2486,f2490,f2506,f2511,f2539,f2569,f2570,f2604,f2629,f2633,f2670,f2674,f2678,f2687,f2691,f2723,f2735,f2739,f2745,f2751,f2756,f2769,f2778,f2787,f2795,f2799,f2804,f2808,f2812,f2816,f2820,f2824,f2828,f2833,f2870,f2871,f2878,f2882,f2886,f2890,f2899,f2901,f2915,f2919,f2924,f2932,f2936,f2956,f3032,f3053,f3057,f3063,f3071,f3075,f3079,f3083,f3097,f3105,f3109,f3113,f3118,f3125,f3129,f3133,f3150,f3154,f3159,f3163,f3286,f3312,f3316,f3348,f3357,f3362,f3366,f3370,f3374,f3378,f3418,f3422,f3426,f3430,f3435,f3443,f3447,f3451,f3462,f3466,f3470,f3485,f3489,f3622,f3628,f3669,f3673,f3681,f3692,f3712,f3721,f3726,f3731,f3750,f3754,f3758,f3762,f3766,f3770,f3775,f3781,f3811,f3926,f3959,f3997,f4003,f4008,f4012,f4021,f4031,f4045,f4057,f4071,f4075,f4080,f4085,f4104,f4108,f4112,f4116,f4120,f4145,f4155,f4165,f4172,f4191,f4302,f4335,f4345,f4350,f4361,f4365,f4369,f4373,f4377,f4420,f4424,f4433,f4437,f4441,f4445,f4451,f4463,f4472,f4476,f4480,f4484,f4488,f4492,f4690,f4714,f4719,f4728,f4732,f4736,f4764,f4768,f4772,f4776,f4780,f4784,f4788,f4792,f4796,f4800,f4804,f4808,f4812,f4817,f4821,f4825,f4829,f4833,f4837,f4841,f5109,f5261,f5265,f5273,f5284,f5288,f5292,f5301,f5338,f5355,f5387,f5391,f5415,f5419,f5423,f5428,f5432,f5436,f5440,f5444,f5448,f5452,f5456,f5468,f5469,f5473,f5477,f5481,f5967,f5972,f5985,f6032,f6041,f6045,f6054,f6096,f6100,f6156,f6160,f6164,f6168,f6172,f6176,f6177,f6223,f6227,f6231,f6235,f6260,f6264,f6268,f6470,f6518,f6532,f6606,f6610,f6614,f6622,f6626,f6639,f6643,f6647,f6651,f6655,f6659,f6663,f6668,f6672,f6719,f6766,f6774,f6784,f6829,f6857,f6861,f6865,f6925,f7084,f7107,f7112,f7139,f7144,f7148,f7153,f7157,f7186,f7190,f7194,f7198,f7202,f7206,f7210,f7214,f7223,f7227,f7231,f7235,f7239,f7243,f7247,f7255,f7263,f7269,f7626,f7655,f7659,f7663,f7667,f7671,f7675,f7679,f7727,f7738,f7742,f7746,f7778,f7786,f7887,f7934,f7938,f7942,f7946,f7955,f7959,f7963,f7967,f7971,f7975,f7979,f7983,f7993,f7997,f8001,f8011,f8015,f8019,f8023,f8027,f8031,f8342,f8555,f8578,f8582,f8591,f8595,f8599,f8603,f8607,f8611,f8615,f8619,f8623,f8627,f8631,f8709,f8719,f8723,f8727,f8731,f8735,f8739,f8744,f8748,f8875,f9189,f9193,f9266,f9270,f9274,f9329,f9333,f9337,f9341,f9345,f9349,f9401,f9405,f9409,f9413,f9417,f9421,f9455,f9459,f9469,f9473,f9477,f9488,f9832,f9842,f9846,f9851,f9855,f9859,f9863,f9867,f9877,f9881,f9942,f10159,f10166,f10170,f10174,f10178,f10182,f10186,f10190,f10194,f10198,f10202,f10206,f10214,f10218,f10222,f10226,f10230,f10234,f10238,f10248,f10252,f10265,f10269,f10273,f10936,f10952,f10978,f10984,f10988,f10992,f10996,f11022,f11026,f11030,f11034,f11038,f11042,f11046,f11050,f11054,f11058,f11063,f11067,f11176,f11222,f11226,f11230,f11234,f11239,f11243,f11247,f11251,f11255,f11259,f11263,f11267,f11366,f11370,f11375,f11379,f11383,f11387,f11391,f11395,f11399,f11936,f11940,f11944,f11948,f11952,f11956,f12057,f12065,f12107,f12111,f12166,f12170,f12213,f12217,f12221,f12240,f12383,f12387,f12391,f12395,f12399,f12403,f12430,f12434,f12438,f12442,f12446,f12683,f12687,f12715,f12719,f12723,f12727,f12731,f12735,f12739,f12749,f12753,f12757,f12761,f12765,f12769,f12955,f13137,f13141,f13178,f13182,f13187,f13191,f13195,f13339,f13343,f13391,f13397,f13401,f13405,f13409,f13413,f13417,f13571,f13575,f13579,f13583,f13592,f13776,f13803,f13807,f13811,f13815,f13819,f13823,f13881,f13885,f13960,f13964,f14027,f14031,f14035,f14039,f14044,f14048,f14201,f14205,f14209,f14392,f14414,f14427,f14431,f14435,f14470,f14493,f14497,f14567,f14602,f14629,f14634,f14638,f14642,f14711,f14727,f14759,f14764,f14775,f14780,f14787,f14792,f14853,f14858,f14908,f14913,f14925,f14936,f15010,f15011,f15026,f15076,f15093,f15101,f15107,f15111,f15120,f15128,f15137,f15145,f15149,f15153,f15158,f15163,f15168,f15177,f15186,f15195,f15200,f15211,f15216,f15243,f15248,f15253,f15394,f15514,f15518,f15522,f15533,f15538,f15547,f15558,f15564,f15575,f15644,f15648,f15657,f15665,f15670,f15680,f15690,f15702,f15717,f15722,f15841,f15845,f15849,f15853,f15861,f15865,f15869,f15873,f15877,f15881,f16067,f16121,f16126,f16158,f16162,f16167,f16180,f16185,f16247,f16251,f16255,f16267,f16273,f16384,f16411,f16415,f16424,f16431,f16440,f16452,f16464,f16468,f16477,f16488,f16519,f16528,f16538,f16585,f16654,f16659,f16664,f16670,f16674,f16678,f16682,f16686,f16690,f16695,f16701,f16708,f16717,f16723,f16728,f16763,f16891,f16896,f16901,f17029,f17034,f17045,f17105,f17110,f17178,f17210,f17223,f17232,f17454,f17458,f17489,f17493,f17497,f17501,f17505,f17509,f17513,f17517,f17521,f17525,f17529,f17533,f17534,f17543,f17547,f17551,f17555,f17559,f17563,f17567,f17571,f17575,f17580,f17584,f17588,f17599,f17607,f17611,f17615,f17619,f17634,f17837,f17841,f17845,f17853,f17858,f17866,f17872,f17878,f17883,f17887,f17922,f17927,f17936,f17941,f17993,f18106,f18190,f18204,f18487,f18496,f18528,f18605,f18609,f18614,f18618,f18622,f18627,f18632,f18636,f18640,f18661,f18766,f18776,f18782,f18793,f18894,f18898,f18902,f18906,f18910,f18914,f18918,f18927,f18932,f18961,f18965,f19074,f19078,f19079,f19100,f19104,f19108,f19117,f19214,f19345,f19472,f19533,f19538,f19566,f19580,f19775,f19794,f19965,f19975,f19986,f20109,f20114,f20177,f20440,f20441]) ).
fof(f20441,plain,
( ~ spl33_242
| spl33_11
| ~ spl33_1029 ),
inference(avatar_split_clause,[],[f20376,f20107,f579,f2503]) ).
fof(f2503,plain,
( spl33_242
<=> sP10(xK,xS,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_242])]) ).
fof(f579,plain,
( spl33_11
<=> aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f20107,plain,
( spl33_1029
<=> ! [X0] :
( ~ sP10(xK,xS,X0)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1029])]) ).
fof(f20376,plain,
( ~ sP10(xK,xS,szDzozmdt0(xc))
| spl33_11
| ~ spl33_1029 ),
inference(resolution,[],[f20108,f581]) ).
fof(f581,plain,
( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))
| spl33_11 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f20108,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ sP10(xK,xS,X0) )
| ~ spl33_1029 ),
inference(avatar_component_clause,[],[f20107]) ).
fof(f20440,plain,
( ~ spl33_7
| spl33_1032
| ~ spl33_114
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2350,f2330,f1193,f20438,f558]) ).
fof(f558,plain,
( spl33_7
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f20438,plain,
( spl33_1032
<=> ! [X0] :
( sP5(szszuzczcdt0(sK20(X0,szNzAzT0)))
| ~ aSet0(X0)
| aSubsetOf0(szNzAzT0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1032])]) ).
fof(f1193,plain,
( spl33_114
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_114])]) ).
fof(f2330,plain,
( spl33_221
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_221])]) ).
fof(f2350,plain,
( ! [X0] :
( sP5(szszuzczcdt0(sK20(X0,szNzAzT0)))
| aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0) )
| ~ spl33_114
| ~ spl33_221 ),
inference(resolution,[],[f2331,f1194]) ).
fof(f1194,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_114 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f2331,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(szszuzczcdt0(X0)) )
| ~ spl33_221 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f20177,plain,
( ~ spl33_7
| spl33_1031
| ~ spl33_101
| ~ spl33_898 ),
inference(avatar_split_clause,[],[f16565,f16516,f1113,f20175,f558]) ).
fof(f20175,plain,
( spl33_1031
<=> ! [X0] :
( ~ aElementOf0(X0,sK26(szDzozmdt0(xc)))
| aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1031])]) ).
fof(f1113,plain,
( spl33_101
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_101])]) ).
fof(f16516,plain,
( spl33_898
<=> aSubsetOf0(sK26(szDzozmdt0(xc)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_898])]) ).
fof(f16565,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK26(szDzozmdt0(xc)))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_101
| ~ spl33_898 ),
inference(resolution,[],[f16518,f1114]) ).
fof(f1114,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl33_101 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f16518,plain,
( aSubsetOf0(sK26(szDzozmdt0(xc)),szNzAzT0)
| ~ spl33_898 ),
inference(avatar_component_clause,[],[f16516]) ).
fof(f20114,plain,
( ~ spl33_258
| spl33_1030
| ~ spl33_9
| ~ spl33_235
| ~ spl33_572 ),
inference(avatar_split_clause,[],[f8559,f8553,f2428,f568,f20111,f2732]) ).
fof(f2732,plain,
( spl33_258
<=> aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_258])]) ).
fof(f20111,plain,
( spl33_1030
<=> aSubsetOf0(slcrc0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1030])]) ).
fof(f568,plain,
( spl33_9
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f2428,plain,
( spl33_235
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_235])]) ).
fof(f8553,plain,
( spl33_572
<=> ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_572])]) ).
fof(f8559,plain,
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,xS)
| ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ spl33_235
| ~ spl33_572 ),
inference(resolution,[],[f8554,f2429]) ).
fof(f2429,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) )
| ~ spl33_235 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f8554,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) )
| ~ spl33_572 ),
inference(avatar_component_clause,[],[f8553]) ).
fof(f20109,plain,
( spl33_1029
| ~ spl33_55
| ~ spl33_534 ),
inference(avatar_split_clause,[],[f7627,f7624,f817,f20107]) ).
fof(f817,plain,
( spl33_55
<=> aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_55])]) ).
fof(f7624,plain,
( spl33_534
<=> ! [X0,X1] :
( ~ sP10(xK,X0,X1)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_534])]) ).
fof(f7627,plain,
( ! [X0] :
( ~ sP10(xK,xS,X0)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0) )
| ~ spl33_55
| ~ spl33_534 ),
inference(resolution,[],[f7625,f819]) ).
fof(f819,plain,
( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ~ spl33_55 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f7625,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ sP10(xK,X0,X1)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1) )
| ~ spl33_534 ),
inference(avatar_component_clause,[],[f7624]) ).
fof(f19986,plain,
( spl33_1028
| ~ spl33_248
| ~ spl33_275 ),
inference(avatar_split_clause,[],[f14877,f2830,f2601,f19983]) ).
fof(f19983,plain,
( spl33_1028
<=> sdtlseqdt0(xi,sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1028])]) ).
fof(f2601,plain,
( spl33_248
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_248])]) ).
fof(f2830,plain,
( spl33_275
<=> sdtlseqdt0(sz00,sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_275])]) ).
fof(f14877,plain,
( sdtlseqdt0(xi,sK26(szNzAzT0))
| ~ spl33_248
| ~ spl33_275 ),
inference(superposition,[],[f2832,f2603]) ).
fof(f2603,plain,
( sz00 = xi
| ~ spl33_248 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f2832,plain,
( sdtlseqdt0(sz00,sK26(szNzAzT0))
| ~ spl33_275 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f19975,plain,
( spl33_926
| ~ spl33_215
| ~ spl33_248 ),
inference(avatar_split_clause,[],[f19837,f2601,f2294,f17175]) ).
fof(f17175,plain,
( spl33_926
<=> sP4(xi,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_926])]) ).
fof(f2294,plain,
( spl33_215
<=> sP4(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_215])]) ).
fof(f19837,plain,
( sP4(xi,slcrc0)
| ~ spl33_215
| ~ spl33_248 ),
inference(superposition,[],[f2296,f2603]) ).
fof(f2296,plain,
( sP4(sz00,slcrc0)
| ~ spl33_215 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f19965,plain,
( spl33_1027
| ~ spl33_926
| ~ spl33_1017 ),
inference(avatar_split_clause,[],[f19796,f19110,f17175,f19962]) ).
fof(f19962,plain,
( spl33_1027
<=> sP4(xi,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1027])]) ).
fof(f19110,plain,
( spl33_1017
<=> slcrc0 = xT ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1017])]) ).
fof(f19796,plain,
( sP4(xi,xT)
| ~ spl33_926
| ~ spl33_1017 ),
inference(forward_demodulation,[],[f17177,f19112]) ).
fof(f19112,plain,
( slcrc0 = xT
| ~ spl33_1017 ),
inference(avatar_component_clause,[],[f19110]) ).
fof(f17177,plain,
( sP4(xi,slcrc0)
| ~ spl33_926 ),
inference(avatar_component_clause,[],[f17175]) ).
fof(f19794,plain,
( spl33_248
| spl33_1026
| ~ spl33_13
| ~ spl33_466 ),
inference(avatar_split_clause,[],[f6106,f6098,f589,f19791,f2601]) ).
fof(f19791,plain,
( spl33_1026
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(xi)),sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1026])]) ).
fof(f589,plain,
( spl33_13
<=> aElementOf0(xi,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f6098,plain,
( spl33_466
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(X0)),sK21(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_466])]) ).
fof(f6106,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(xi)),sK21(xi))
| sz00 = xi
| ~ spl33_13
| ~ spl33_466 ),
inference(resolution,[],[f6099,f591]) ).
fof(f591,plain,
( aElementOf0(xi,szNzAzT0)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f6099,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(X0)),sK21(X0))
| sz00 = X0 )
| ~ spl33_466 ),
inference(avatar_component_clause,[],[f6098]) ).
fof(f19775,plain,
( spl33_1025
| ~ spl33_246
| ~ spl33_302 ),
inference(avatar_split_clause,[],[f14814,f3115,f2566,f19772]) ).
fof(f19772,plain,
( spl33_1025
<=> sdtlseqdt0(xk,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1025])]) ).
fof(f2566,plain,
( spl33_246
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_246])]) ).
fof(f3115,plain,
( spl33_302
<=> sdtlseqdt0(sz00,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_302])]) ).
fof(f14814,plain,
( sdtlseqdt0(xk,szmzizndt0(szNzAzT0))
| ~ spl33_246
| ~ spl33_302 ),
inference(superposition,[],[f3117,f2568]) ).
fof(f2568,plain,
( sz00 = xk
| ~ spl33_246 ),
inference(avatar_component_clause,[],[f2566]) ).
fof(f3117,plain,
( sdtlseqdt0(sz00,szmzizndt0(szNzAzT0))
| ~ spl33_302 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f19580,plain,
( spl33_246
| spl33_1024
| ~ spl33_15
| ~ spl33_466 ),
inference(avatar_split_clause,[],[f6105,f6098,f599,f19577,f2566]) ).
fof(f19577,plain,
( spl33_1024
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(xk)),sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1024])]) ).
fof(f599,plain,
( spl33_15
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f6105,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(xk)),sK21(xk))
| sz00 = xk
| ~ spl33_15
| ~ spl33_466 ),
inference(resolution,[],[f6099,f601]) ).
fof(f601,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl33_15 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f19566,plain,
( spl33_12
| spl33_1023
| ~ spl33_14
| ~ spl33_466 ),
inference(avatar_split_clause,[],[f6104,f6098,f594,f19563,f584]) ).
fof(f584,plain,
( spl33_12
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f19563,plain,
( spl33_1023
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(xK)),sK21(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1023])]) ).
fof(f594,plain,
( spl33_14
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f6104,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(xK)),sK21(xK))
| sz00 = xK
| ~ spl33_14
| ~ spl33_466 ),
inference(resolution,[],[f6099,f596]) ).
fof(f596,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f19538,plain,
( ~ spl33_1022
| spl33_884
| ~ spl33_1017 ),
inference(avatar_split_clause,[],[f19167,f19110,f16381,f19535]) ).
fof(f19535,plain,
( spl33_1022
<=> aSubsetOf0(sK26(szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1022])]) ).
fof(f16381,plain,
( spl33_884
<=> aSubsetOf0(sK26(szDzozmdt0(xc)),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_884])]) ).
fof(f19167,plain,
( ~ aSubsetOf0(sK26(szDzozmdt0(xc)),xT)
| spl33_884
| ~ spl33_1017 ),
inference(superposition,[],[f16383,f19112]) ).
fof(f16383,plain,
( ~ aSubsetOf0(sK26(szDzozmdt0(xc)),slcrc0)
| spl33_884 ),
inference(avatar_component_clause,[],[f16381]) ).
fof(f19533,plain,
( ~ spl33_7
| spl33_1021
| ~ spl33_19
| ~ spl33_454 ),
inference(avatar_split_clause,[],[f5837,f5466,f618,f19531,f558]) ).
fof(f19531,plain,
( spl33_1021
<=> ! [X0] :
( aElementOf0(sK27(X0,xN,szNzAzT0),szNzAzT0)
| sP6(X0,xN,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1021])]) ).
fof(f618,plain,
( spl33_19
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f5466,plain,
( spl33_454
<=> ! [X0,X1] :
( aElementOf0(sK27(X0,X1,szDzozmdt0(X1)),szDzozmdt0(X1))
| sP6(X0,X1,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_454])]) ).
fof(f5837,plain,
( ! [X0] :
( aElementOf0(sK27(X0,xN,szNzAzT0),szNzAzT0)
| sP6(X0,xN,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_19
| ~ spl33_454 ),
inference(superposition,[],[f5467,f620]) ).
fof(f620,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f5467,plain,
( ! [X0,X1] :
( aElementOf0(sK27(X0,X1,szDzozmdt0(X1)),szDzozmdt0(X1))
| sP6(X0,X1,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_454 ),
inference(avatar_component_clause,[],[f5466]) ).
fof(f19472,plain,
( ~ spl33_1020
| spl33_808
| ~ spl33_1017 ),
inference(avatar_split_clause,[],[f19251,f19110,f15007,f19469]) ).
fof(f19469,plain,
( spl33_1020
<=> sP4(xk,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1020])]) ).
fof(f15007,plain,
( spl33_808
<=> sP4(xk,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_808])]) ).
fof(f19251,plain,
( ~ sP4(xk,xT)
| spl33_808
| ~ spl33_1017 ),
inference(forward_demodulation,[],[f15008,f19112]) ).
fof(f15008,plain,
( ~ sP4(xk,slcrc0)
| spl33_808 ),
inference(avatar_component_clause,[],[f15007]) ).
fof(f19345,plain,
( ~ spl33_835
| ~ spl33_857
| spl33_884 ),
inference(avatar_split_clause,[],[f16639,f16381,f15699,f15391]) ).
fof(f15391,plain,
( spl33_835
<=> aSubsetOf0(sK26(szDzozmdt0(xc)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_835])]) ).
fof(f15699,plain,
( spl33_857
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl33_857])]) ).
fof(f16639,plain,
( ~ aSubsetOf0(sK26(szDzozmdt0(xc)),xS)
| ~ spl33_857
| spl33_884 ),
inference(superposition,[],[f16383,f15701]) ).
fof(f15701,plain,
( slcrc0 = xS
| ~ spl33_857 ),
inference(avatar_component_clause,[],[f15699]) ).
fof(f19214,plain,
( spl33_857
| spl33_1019
| ~ spl33_184
| ~ spl33_387 ),
inference(avatar_split_clause,[],[f4562,f4418,f2027,f19211,f15699]) ).
fof(f19211,plain,
( spl33_1019
<=> xS = sdtpldt0(sdtmndt0(xS,sK26(xS)),sK26(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1019])]) ).
fof(f2027,plain,
( spl33_184
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_184])]) ).
fof(f4418,plain,
( spl33_387
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_387])]) ).
fof(f4562,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK26(xS)),sK26(xS))
| slcrc0 = xS
| ~ spl33_184
| ~ spl33_387 ),
inference(resolution,[],[f4419,f2028]) ).
fof(f2028,plain,
( aSet0(xS)
| ~ spl33_184 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f4419,plain,
( ! [X0] :
( ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| slcrc0 = X0 )
| ~ spl33_387 ),
inference(avatar_component_clause,[],[f4418]) ).
fof(f19117,plain,
( spl33_1017
| spl33_1018
| ~ spl33_3
| ~ spl33_387 ),
inference(avatar_split_clause,[],[f4561,f4418,f538,f19114,f19110]) ).
fof(f19114,plain,
( spl33_1018
<=> xT = sdtpldt0(sdtmndt0(xT,sK26(xT)),sK26(xT)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1018])]) ).
fof(f538,plain,
( spl33_3
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f4561,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK26(xT)),sK26(xT))
| slcrc0 = xT
| ~ spl33_3
| ~ spl33_387 ),
inference(resolution,[],[f4419,f540]) ).
fof(f540,plain,
( aSet0(xT)
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f19108,plain,
( spl33_1016
| ~ spl33_261
| ~ spl33_376 ),
inference(avatar_split_clause,[],[f4178,f4170,f2749,f19106]) ).
fof(f19106,plain,
( spl33_1016
<=> ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1016])]) ).
fof(f2749,plain,
( spl33_261
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_261])]) ).
fof(f4170,plain,
( spl33_376
<=> ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_376])]) ).
fof(f4178,plain,
( ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_261
| ~ spl33_376 ),
inference(resolution,[],[f4171,f2750]) ).
fof(f2750,plain,
( ! [X0] :
( aElement0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_261 ),
inference(avatar_component_clause,[],[f2749]) ).
fof(f4171,plain,
( ! [X0] :
( ~ aElement0(X0)
| szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0)) )
| ~ spl33_376 ),
inference(avatar_component_clause,[],[f4170]) ).
fof(f19104,plain,
( spl33_1015
| ~ spl33_127
| ~ spl33_361 ),
inference(avatar_split_clause,[],[f4041,f4029,f1302,f19102]) ).
fof(f19102,plain,
( spl33_1015
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk)
| aElementOf0(X0,X1)
| ~ sP4(xK,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1015])]) ).
fof(f1302,plain,
( spl33_127
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_127])]) ).
fof(f4029,plain,
( spl33_361
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_361])]) ).
fof(f4041,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk)
| aElementOf0(X0,X1)
| ~ sP4(xK,X1) )
| ~ spl33_127
| ~ spl33_361 ),
inference(duplicate_literal_removal,[],[f4032]) ).
fof(f4032,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk)
| aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(xK,X1) )
| ~ spl33_127
| ~ spl33_361 ),
inference(resolution,[],[f4030,f1303]) ).
fof(f1303,plain,
( ! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) )
| ~ spl33_127 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f4030,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) )
| ~ spl33_361 ),
inference(avatar_component_clause,[],[f4029]) ).
fof(f19100,plain,
( spl33_1014
| ~ spl33_61
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3698,f3690,f845,f19098]) ).
fof(f19098,plain,
( spl33_1014
<=> ! [X0,X1] :
( sP0(xN,X0,szNzAzT0)
| sP11(X1,sK14(xN,X0,szNzAzT0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1014])]) ).
fof(f845,plain,
( spl33_61
<=> ! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_61])]) ).
fof(f3690,plain,
( spl33_339
<=> ! [X0] :
( aElementOf0(sK14(xN,X0,szNzAzT0),szNzAzT0)
| sP0(xN,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_339])]) ).
fof(f3698,plain,
( ! [X0,X1] :
( sP0(xN,X0,szNzAzT0)
| sP11(X1,sK14(xN,X0,szNzAzT0))
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_339 ),
inference(resolution,[],[f3691,f846]) ).
fof(f846,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP11(X0,X1)
| ~ aSet0(X0) )
| ~ spl33_61 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f3691,plain,
( ! [X0] :
( aElementOf0(sK14(xN,X0,szNzAzT0),szNzAzT0)
| sP0(xN,X0,szNzAzT0) )
| ~ spl33_339 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f19079,plain,
( ~ spl33_30
| ~ spl33_214
| spl33_1007 ),
inference(avatar_split_clause,[],[f18928,f18920,f2290,f673]) ).
fof(f673,plain,
( spl33_30
<=> sP5(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f2290,plain,
( spl33_214
<=> ! [X0] :
( ~ sP5(X0)
| aSet0(slbdtrb0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_214])]) ).
fof(f18920,plain,
( spl33_1007
<=> aSet0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1007])]) ).
fof(f18928,plain,
( ~ sP5(xK)
| ~ spl33_214
| spl33_1007 ),
inference(resolution,[],[f18922,f2291]) ).
fof(f2291,plain,
( ! [X0] :
( aSet0(slbdtrb0(X0))
| ~ sP5(X0) )
| ~ spl33_214 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f18922,plain,
( ~ aSet0(slbdtrb0(xK))
| spl33_1007 ),
inference(avatar_component_clause,[],[f18920]) ).
fof(f19078,plain,
( spl33_1013
| ~ spl33_59
| ~ spl33_335 ),
inference(avatar_split_clause,[],[f3631,f3626,f837,f19076]) ).
fof(f19076,plain,
( spl33_1013
<=> ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1013])]) ).
fof(f837,plain,
( spl33_59
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_59])]) ).
fof(f3626,plain,
( spl33_335
<=> ! [X0] :
( sdtlseqdt0(xK,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_335])]) ).
fof(f3631,plain,
( ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_335 ),
inference(resolution,[],[f3627,f838]) ).
fof(f838,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f3627,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk) )
| ~ spl33_335 ),
inference(avatar_component_clause,[],[f3626]) ).
fof(f19074,plain,
( spl33_1012
| ~ spl33_56
| ~ spl33_297 ),
inference(avatar_split_clause,[],[f3087,f3081,f822,f19072]) ).
fof(f19072,plain,
( spl33_1012
<=> ! [X0] :
( aElement0(sK24(sdtlpdtrp0(xN,X0)))
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1012])]) ).
fof(f822,plain,
( spl33_56
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_56])]) ).
fof(f3081,plain,
( spl33_297
<=> ! [X0] :
( ~ isFinite0(X0)
| aElement0(sK24(X0))
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_297])]) ).
fof(f3087,plain,
( ! [X0] :
( aElement0(sK24(sdtlpdtrp0(xN,X0)))
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_297 ),
inference(resolution,[],[f3082,f823]) ).
fof(f823,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f3082,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK24(X0))
| ~ isFinite0(X0) )
| ~ spl33_297 ),
inference(avatar_component_clause,[],[f3081]) ).
fof(f18965,plain,
( ~ spl33_7
| spl33_1011
| ~ spl33_101
| ~ spl33_262 ),
inference(avatar_split_clause,[],[f2762,f2754,f1113,f18963,f558]) ).
fof(f18963,plain,
( spl33_1011
<=> ! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1011])]) ).
fof(f2754,plain,
( spl33_262
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_262])]) ).
fof(f2762,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,sdtlbdtrb0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_101
| ~ spl33_262 ),
inference(resolution,[],[f2755,f1114]) ).
fof(f2755,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) )
| ~ spl33_262 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f18961,plain,
( spl33_1010
| ~ spl33_56
| ~ spl33_253 ),
inference(avatar_split_clause,[],[f2726,f2676,f822,f18959]) ).
fof(f18959,plain,
( spl33_1010
<=> ! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| sP5(sK24(sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1010])]) ).
fof(f2676,plain,
( spl33_253
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP5(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_253])]) ).
fof(f2726,plain,
( ! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| sP5(sK24(sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_253 ),
inference(resolution,[],[f2677,f823]) ).
fof(f2677,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| sP5(sK24(X0)) )
| ~ spl33_253 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f18932,plain,
( ~ spl33_184
| spl33_1009
| ~ spl33_114
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f2520,f2509,f1193,f18930,f2027]) ).
fof(f18930,plain,
( spl33_1009
<=> ! [X0] :
( aElementOf0(sK20(X0,xS),szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1009])]) ).
fof(f2509,plain,
( spl33_243
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_243])]) ).
fof(f2520,plain,
( ! [X0] :
( aElementOf0(sK20(X0,xS),szNzAzT0)
| aSubsetOf0(xS,X0)
| ~ aSet0(xS)
| ~ aSet0(X0) )
| ~ spl33_114
| ~ spl33_243 ),
inference(resolution,[],[f2510,f1194]) ).
fof(f2510,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
| ~ spl33_243 ),
inference(avatar_component_clause,[],[f2509]) ).
fof(f18927,plain,
( ~ spl33_1007
| spl33_1008
| ~ spl33_112
| ~ spl33_227 ),
inference(avatar_split_clause,[],[f2395,f2390,f1185,f18924,f18920]) ).
fof(f18924,plain,
( spl33_1008
<=> slbdtrb0(xK) = sdtpldt0(sdtmndt0(slbdtrb0(xK),xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1008])]) ).
fof(f1185,plain,
( spl33_112
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_112])]) ).
fof(f2390,plain,
( spl33_227
<=> aElementOf0(xk,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_227])]) ).
fof(f2395,plain,
( slbdtrb0(xK) = sdtpldt0(sdtmndt0(slbdtrb0(xK),xk),xk)
| ~ aSet0(slbdtrb0(xK))
| ~ spl33_112
| ~ spl33_227 ),
inference(resolution,[],[f2392,f1186]) ).
fof(f1186,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl33_112 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f2392,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ spl33_227 ),
inference(avatar_component_clause,[],[f2390]) ).
fof(f18918,plain,
( ~ spl33_184
| spl33_1006
| ~ spl33_101
| ~ spl33_835 ),
inference(avatar_split_clause,[],[f15526,f15391,f1113,f18916,f2027]) ).
fof(f18916,plain,
( spl33_1006
<=> ! [X0] :
( ~ aElementOf0(X0,sK26(szDzozmdt0(xc)))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1006])]) ).
fof(f15526,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK26(szDzozmdt0(xc)))
| aElementOf0(X0,xS)
| ~ aSet0(xS) )
| ~ spl33_101
| ~ spl33_835 ),
inference(resolution,[],[f15393,f1114]) ).
fof(f15393,plain,
( aSubsetOf0(sK26(szDzozmdt0(xc)),xS)
| ~ spl33_835 ),
inference(avatar_component_clause,[],[f15391]) ).
fof(f18914,plain,
( spl33_1005
| ~ spl33_113
| ~ spl33_210 ),
inference(avatar_split_clause,[],[f2287,f2249,f1189,f18912]) ).
fof(f18912,plain,
( spl33_1005
<=> ! [X0] :
( sdtlseqdt0(xi,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1005])]) ).
fof(f1189,plain,
( spl33_113
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_113])]) ).
fof(f2249,plain,
( spl33_210
<=> xi = sbrdtbr0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_210])]) ).
fof(f2287,plain,
( ! [X0] :
( sdtlseqdt0(xi,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_113
| ~ spl33_210 ),
inference(superposition,[],[f1190,f2251]) ).
fof(f2251,plain,
( xi = sbrdtbr0(slbdtrb0(xi))
| ~ spl33_210 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f1190,plain,
( ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_113 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f18910,plain,
( spl33_1004
| ~ spl33_107
| ~ spl33_210 ),
inference(avatar_split_clause,[],[f2285,f2249,f1138,f18908]) ).
fof(f18908,plain,
( spl33_1004
<=> ! [X0,X1] :
( ~ sP10(xi,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| aElementOf0(slbdtrb0(xi),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1004])]) ).
fof(f1138,plain,
( spl33_107
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_107])]) ).
fof(f2285,plain,
( ! [X0,X1] :
( ~ sP10(xi,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| aElementOf0(slbdtrb0(xi),X1) )
| ~ spl33_107
| ~ spl33_210 ),
inference(superposition,[],[f1139,f2251]) ).
fof(f1139,plain,
( ! [X2,X1,X4] :
( ~ sP10(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl33_107 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f18906,plain,
( spl33_1003
| ~ spl33_113
| ~ spl33_209 ),
inference(avatar_split_clause,[],[f2279,f2244,f1189,f18904]) ).
fof(f18904,plain,
( spl33_1003
<=> ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1003])]) ).
fof(f2244,plain,
( spl33_209
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_209])]) ).
fof(f2279,plain,
( ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_113
| ~ spl33_209 ),
inference(superposition,[],[f1190,f2246]) ).
fof(f2246,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl33_209 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f18902,plain,
( spl33_1002
| ~ spl33_107
| ~ spl33_209 ),
inference(avatar_split_clause,[],[f2277,f2244,f1138,f18900]) ).
fof(f18900,plain,
( spl33_1002
<=> ! [X0,X1] :
( ~ sP10(xk,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| aElementOf0(slbdtrb0(xk),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1002])]) ).
fof(f2277,plain,
( ! [X0,X1] :
( ~ sP10(xk,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| aElementOf0(slbdtrb0(xk),X1) )
| ~ spl33_107
| ~ spl33_209 ),
inference(superposition,[],[f1139,f2246]) ).
fof(f18898,plain,
( spl33_1001
| ~ spl33_113
| ~ spl33_208 ),
inference(avatar_split_clause,[],[f2271,f2239,f1189,f18896]) ).
fof(f18896,plain,
( spl33_1001
<=> ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xK),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1001])]) ).
fof(f2239,plain,
( spl33_208
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_208])]) ).
fof(f2271,plain,
( ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xK),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_113
| ~ spl33_208 ),
inference(superposition,[],[f1190,f2241]) ).
fof(f2241,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl33_208 ),
inference(avatar_component_clause,[],[f2239]) ).
fof(f18894,plain,
( spl33_1000
| ~ spl33_107
| ~ spl33_208 ),
inference(avatar_split_clause,[],[f2269,f2239,f1138,f18892]) ).
fof(f18892,plain,
( spl33_1000
<=> ! [X0,X1] :
( ~ sP10(xK,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xK),X0)
| aElementOf0(slbdtrb0(xK),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1000])]) ).
fof(f2269,plain,
( ! [X0,X1] :
( ~ sP10(xK,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xK),X0)
| aElementOf0(slbdtrb0(xK),X1) )
| ~ spl33_107
| ~ spl33_208 ),
inference(superposition,[],[f1139,f2241]) ).
fof(f18793,plain,
( spl33_999
| ~ spl33_18
| ~ spl33_473 ),
inference(avatar_split_clause,[],[f6426,f6221,f614,f18791]) ).
fof(f18791,plain,
( spl33_999
<=> ! [X0,X1] :
( sP2(X0,slcrc0,X1)
| ~ aSet0(X1)
| aElement0(sK15(X0,slcrc0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_999])]) ).
fof(f614,plain,
( spl33_18
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f6221,plain,
( spl33_473
<=> ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_473])]) ).
fof(f6426,plain,
( ! [X0,X1] :
( sP2(X0,slcrc0,X1)
| ~ aSet0(X1)
| aElement0(sK15(X0,slcrc0,X1)) )
| ~ spl33_18
| ~ spl33_473 ),
inference(resolution,[],[f6222,f615]) ).
fof(f615,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f6222,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2)) )
| ~ spl33_473 ),
inference(avatar_component_clause,[],[f6221]) ).
fof(f18782,plain,
( ~ spl33_17
| spl33_998
| ~ spl33_251
| ~ spl33_427 ),
inference(avatar_split_clause,[],[f5257,f4839,f2668,f18780,f609]) ).
fof(f609,plain,
( spl33_17
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f18780,plain,
( spl33_998
<=> ! [X0] :
( ~ isFinite0(X0)
| isFinite0(sK30(X0,sz00))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_998])]) ).
fof(f2668,plain,
( spl33_251
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_251])]) ).
fof(f4839,plain,
( spl33_427
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK30(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_427])]) ).
fof(f5257,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0)
| isFinite0(sK30(X0,sz00)) )
| ~ spl33_251
| ~ spl33_427 ),
inference(duplicate_literal_removal,[],[f5240]) ).
fof(f5240,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0)
| isFinite0(sK30(X0,sz00))
| ~ aSet0(X0)
| ~ isFinite0(X0) )
| ~ spl33_251
| ~ spl33_427 ),
inference(resolution,[],[f4840,f2669]) ).
fof(f2669,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) )
| ~ spl33_251 ),
inference(avatar_component_clause,[],[f2668]) ).
fof(f4840,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK30(X1,X0)) )
| ~ spl33_427 ),
inference(avatar_component_clause,[],[f4839]) ).
fof(f18776,plain,
( ~ spl33_17
| spl33_997
| ~ spl33_251
| ~ spl33_426 ),
inference(avatar_split_clause,[],[f5238,f4835,f2668,f18774,f609]) ).
fof(f18774,plain,
( spl33_997
<=> ! [X0] :
( ~ isFinite0(X0)
| aSet0(sK30(X0,sz00))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_997])]) ).
fof(f4835,plain,
( spl33_426
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK30(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_426])]) ).
fof(f5238,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0)
| aSet0(sK30(X0,sz00)) )
| ~ spl33_251
| ~ spl33_426 ),
inference(duplicate_literal_removal,[],[f5221]) ).
fof(f5221,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(X0)
| aSet0(sK30(X0,sz00))
| ~ aSet0(X0)
| ~ isFinite0(X0) )
| ~ spl33_251
| ~ spl33_426 ),
inference(resolution,[],[f4836,f2669]) ).
fof(f4836,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK30(X1,X0)) )
| ~ spl33_426 ),
inference(avatar_component_clause,[],[f4835]) ).
fof(f18766,plain,
( ~ spl33_7
| spl33_996
| ~ spl33_45
| ~ spl33_397 ),
inference(avatar_split_clause,[],[f4674,f4478,f758,f18764,f558]) ).
fof(f18764,plain,
( spl33_996
<=> ! [X0,X1] :
( sP4(X0,X1)
| aElement0(sK22(X0,X1))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_996])]) ).
fof(f758,plain,
( spl33_45
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f4478,plain,
( spl33_397
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_397])]) ).
fof(f4674,plain,
( ! [X0,X1] :
( sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_397 ),
inference(duplicate_literal_removal,[],[f4673]) ).
fof(f4673,plain,
( ! [X0,X1] :
( sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1))
| aElement0(sK22(X0,X1))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_397 ),
inference(resolution,[],[f4479,f759]) ).
fof(f759,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f4479,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1)) )
| ~ spl33_397 ),
inference(avatar_component_clause,[],[f4478]) ).
fof(f18661,plain,
( spl33_761
| spl33_995
| ~ spl33_17
| ~ spl33_385 ),
inference(avatar_split_clause,[],[f4508,f4371,f609,f18658,f13589]) ).
fof(f13589,plain,
( spl33_761
<=> sz00 = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_761])]) ).
fof(f18658,plain,
( spl33_995
<=> szszuzczcdt0(sz00) = szszuzczcdt0(sK21(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_995])]) ).
fof(f4371,plain,
( spl33_385
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_385])]) ).
fof(f4508,plain,
( szszuzczcdt0(sz00) = szszuzczcdt0(sK21(szszuzczcdt0(sz00)))
| sz00 = szszuzczcdt0(sz00)
| ~ spl33_17
| ~ spl33_385 ),
inference(resolution,[],[f4372,f611]) ).
fof(f611,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl33_17 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f4372,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| sz00 = szszuzczcdt0(X0) )
| ~ spl33_385 ),
inference(avatar_component_clause,[],[f4371]) ).
fof(f18640,plain,
( ~ spl33_9
| spl33_994
| ~ spl33_46
| ~ spl33_374 ),
inference(avatar_split_clause,[],[f4160,f4153,f762,f18638,f568]) ).
fof(f18638,plain,
( spl33_994
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_994])]) ).
fof(f762,plain,
( spl33_46
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f4153,plain,
( spl33_374
<=> ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_374])]) ).
fof(f4160,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slcrc0) )
| ~ spl33_46
| ~ spl33_374 ),
inference(resolution,[],[f4154,f763]) ).
fof(f763,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f4154,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) )
| ~ spl33_374 ),
inference(avatar_component_clause,[],[f4153]) ).
fof(f18636,plain,
( spl33_993
| ~ spl33_46
| ~ spl33_352 ),
inference(avatar_split_clause,[],[f3816,f3809,f762,f18634]) ).
fof(f18634,plain,
( spl33_993
<=> ! [X0,X1] :
( sP10(X0,X1,slcrc0)
| aSet0(sK32(X0,X1,slcrc0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_993])]) ).
fof(f3809,plain,
( spl33_352
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,slcrc0),X1)
| sP10(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_352])]) ).
fof(f3816,plain,
( ! [X0,X1] :
( sP10(X0,X1,slcrc0)
| aSet0(sK32(X0,X1,slcrc0))
| ~ aSet0(X1) )
| ~ spl33_46
| ~ spl33_352 ),
inference(resolution,[],[f3810,f763]) ).
fof(f3810,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,slcrc0),X1)
| sP10(X0,X1,slcrc0) )
| ~ spl33_352 ),
inference(avatar_component_clause,[],[f3809]) ).
fof(f18632,plain,
( spl33_992
| ~ spl33_45
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3784,f3779,f758,f18630]) ).
fof(f18630,plain,
( spl33_992
<=> ! [X0,X1] :
( sP2(X0,X1,slcrc0)
| aElement0(sK16(X0,X1,slcrc0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_992])]) ).
fof(f3779,plain,
( spl33_351
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_351])]) ).
fof(f3784,plain,
( ! [X0,X1] :
( sP2(X0,X1,slcrc0)
| aElement0(sK16(X0,X1,slcrc0))
| ~ aSet0(X1) )
| ~ spl33_45
| ~ spl33_351 ),
inference(resolution,[],[f3780,f759]) ).
fof(f3780,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0) )
| ~ spl33_351 ),
inference(avatar_component_clause,[],[f3779]) ).
fof(f18627,plain,
( ~ spl33_206
| ~ spl33_991
| spl33_603
| ~ spl33_285
| ~ spl33_327 ),
inference(avatar_split_clause,[],[f3609,f3445,f2921,f9335,f18624,f2229]) ).
fof(f2229,plain,
( spl33_206
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_206])]) ).
fof(f18624,plain,
( spl33_991
<=> aSet0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_991])]) ).
fof(f9335,plain,
( spl33_603
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_603])]) ).
fof(f2921,plain,
( spl33_285
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_285])]) ).
fof(f3445,plain,
( spl33_327
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_327])]) ).
fof(f3609,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00)
| aElement0(X0) )
| ~ spl33_285
| ~ spl33_327 ),
inference(superposition,[],[f3446,f2923]) ).
fof(f2923,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ spl33_285 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f3446,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElement0(X2) )
| ~ spl33_327 ),
inference(avatar_component_clause,[],[f3445]) ).
fof(f18622,plain,
( spl33_990
| ~ spl33_25
| ~ spl33_331 ),
inference(avatar_split_clause,[],[f3474,f3468,f647,f18620]) ).
fof(f18620,plain,
( spl33_990
<=> ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_990])]) ).
fof(f647,plain,
( spl33_25
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f3468,plain,
( spl33_331
<=> ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_331])]) ).
fof(f3474,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl33_25
| ~ spl33_331 ),
inference(resolution,[],[f3469,f648]) ).
fof(f648,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f3469,plain,
( ! [X0] :
( ~ aElement0(X0)
| slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0) )
| ~ spl33_331 ),
inference(avatar_component_clause,[],[f3468]) ).
fof(f18618,plain,
( spl33_989
| ~ spl33_51
| ~ spl33_320 ),
inference(avatar_split_clause,[],[f3380,f3376,f782,f18616]) ).
fof(f18616,plain,
( spl33_989
<=> ! [X0] :
( aElement0(sK21(szszuzczcdt0(X0)))
| sz00 = szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_989])]) ).
fof(f782,plain,
( spl33_51
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_51])]) ).
fof(f3376,plain,
( spl33_320
<=> ! [X0] :
( sz00 = X0
| aElement0(sK21(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_320])]) ).
fof(f3380,plain,
( ! [X0] :
( aElement0(sK21(szszuzczcdt0(X0)))
| sz00 = szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_320 ),
inference(resolution,[],[f3377,f783]) ).
fof(f783,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f3377,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK21(X0))
| sz00 = X0 )
| ~ spl33_320 ),
inference(avatar_component_clause,[],[f3376]) ).
fof(f18614,plain,
( spl33_988
| ~ spl33_376
| ~ spl33_777 ),
inference(avatar_split_clause,[],[f15204,f14041,f4170,f18611]) ).
fof(f18611,plain,
( spl33_988
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sK21(szszuzczcdt0(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_988])]) ).
fof(f14041,plain,
( spl33_777
<=> aElement0(sK21(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_777])]) ).
fof(f15204,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sK21(szszuzczcdt0(sz00))))
| ~ spl33_376
| ~ spl33_777 ),
inference(resolution,[],[f14043,f4171]) ).
fof(f14043,plain,
( aElement0(sK21(szszuzczcdt0(sz00)))
| ~ spl33_777 ),
inference(avatar_component_clause,[],[f14041]) ).
fof(f18609,plain,
( spl33_987
| ~ spl33_82
| ~ spl33_304 ),
inference(avatar_split_clause,[],[f3237,f3127,f959,f18607]) ).
fof(f18607,plain,
( spl33_987
<=> ! [X0] :
( ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ sP11(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_987])]) ).
fof(f959,plain,
( spl33_82
<=> ! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_82])]) ).
fof(f3127,plain,
( spl33_304
<=> ! [X0,X1] :
( ~ sP10(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_304])]) ).
fof(f3237,plain,
( ! [X0] :
( ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ sP11(X0,sz00) )
| ~ spl33_82
| ~ spl33_304 ),
inference(resolution,[],[f3128,f960]) ).
fof(f960,plain,
( ! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl33_82 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f3128,plain,
( ! [X0,X1] :
( ~ sP10(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl33_304 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f18605,plain,
( spl33_986
| ~ spl33_51
| ~ spl33_278 ),
inference(avatar_split_clause,[],[f2996,f2880,f782,f18603]) ).
fof(f18603,plain,
( spl33_986
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| sP5(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_986])]) ).
fof(f2880,plain,
( spl33_278
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP5(sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_278])]) ).
fof(f2996,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| sP5(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_278 ),
inference(resolution,[],[f2881,f783]) ).
fof(f2881,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP5(sK21(X0)) )
| ~ spl33_278 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f18528,plain,
( ~ spl33_308
| spl33_985
| ~ spl33_293
| ~ spl33_445 ),
inference(avatar_split_clause,[],[f5550,f5421,f3060,f18525,f3156]) ).
fof(f3156,plain,
( spl33_308
<=> sP3(szNzAzT0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_308])]) ).
fof(f18525,plain,
( spl33_985
<=> xS = sdtlpdtrp0(xN,sK17(xN,szNzAzT0,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_985])]) ).
fof(f3060,plain,
( spl33_293
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_293])]) ).
fof(f5421,plain,
( spl33_445
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| sdtlpdtrp0(X1,sK17(X1,X2,X0)) = X0
| ~ sP3(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_445])]) ).
fof(f5550,plain,
( xS = sdtlpdtrp0(xN,sK17(xN,szNzAzT0,xS))
| ~ sP3(szNzAzT0,xN)
| ~ spl33_293
| ~ spl33_445 ),
inference(resolution,[],[f5422,f3062]) ).
fof(f3062,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ spl33_293 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f5422,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| sdtlpdtrp0(X1,sK17(X1,X2,X0)) = X0
| ~ sP3(X2,X1) )
| ~ spl33_445 ),
inference(avatar_component_clause,[],[f5421]) ).
fof(f18496,plain,
( spl33_984
| ~ spl33_376
| ~ spl33_690 ),
inference(avatar_split_clause,[],[f12101,f11372,f4170,f18493]) ).
fof(f18493,plain,
( spl33_984
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,szszuzczcdt0(szszuzczcdt0(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_984])]) ).
fof(f11372,plain,
( spl33_690
<=> aElement0(szszuzczcdt0(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_690])]) ).
fof(f12101,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl33_376
| ~ spl33_690 ),
inference(resolution,[],[f11374,f4171]) ).
fof(f11374,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ spl33_690 ),
inference(avatar_component_clause,[],[f11372]) ).
fof(f18487,plain,
( spl33_983
| ~ spl33_13
| ~ spl33_291 ),
inference(avatar_split_clause,[],[f18208,f3050,f589,f18484]) ).
fof(f18484,plain,
( spl33_983
<=> aElementOf0(xi,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_983])]) ).
fof(f3050,plain,
( spl33_291
<=> szNzAzT0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl33_291])]) ).
fof(f18208,plain,
( aElementOf0(xi,xS)
| ~ spl33_13
| ~ spl33_291 ),
inference(superposition,[],[f591,f3052]) ).
fof(f3052,plain,
( szNzAzT0 = xS
| ~ spl33_291 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f18204,plain,
( ~ spl33_184
| spl33_982
| spl33_290
| ~ spl33_440 ),
inference(avatar_split_clause,[],[f5356,f5353,f3046,f18201,f2027]) ).
fof(f18201,plain,
( spl33_982
<=> sK20(xS,szNzAzT0) = sbrdtbr0(slbdtrb0(sK20(xS,szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_982])]) ).
fof(f3046,plain,
( spl33_290
<=> aSubsetOf0(szNzAzT0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_290])]) ).
fof(f5353,plain,
( spl33_440
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sK20(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK20(X0,szNzAzT0)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_440])]) ).
fof(f5356,plain,
( sK20(xS,szNzAzT0) = sbrdtbr0(slbdtrb0(sK20(xS,szNzAzT0)))
| ~ aSet0(xS)
| spl33_290
| ~ spl33_440 ),
inference(resolution,[],[f5354,f3048]) ).
fof(f3048,plain,
( ~ aSubsetOf0(szNzAzT0,xS)
| spl33_290 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f5354,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sK20(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK20(X0,szNzAzT0)))
| ~ aSet0(X0) )
| ~ spl33_440 ),
inference(avatar_component_clause,[],[f5353]) ).
fof(f18190,plain,
( spl33_981
| ~ spl33_3
| ~ spl33_4
| ~ spl33_407 ),
inference(avatar_split_clause,[],[f4754,f4734,f543,f538,f18187]) ).
fof(f18187,plain,
( spl33_981
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(xT)),sbrdtbr0(xT)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_981])]) ).
fof(f543,plain,
( spl33_4
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f4734,plain,
( spl33_407
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_407])]) ).
fof(f4754,plain,
( ~ aSet0(xT)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(xT)),sbrdtbr0(xT))
| ~ spl33_4
| ~ spl33_407 ),
inference(resolution,[],[f4735,f545]) ).
fof(f545,plain,
( isFinite0(xT)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f4735,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0)) )
| ~ spl33_407 ),
inference(avatar_component_clause,[],[f4734]) ).
fof(f18106,plain,
( spl33_979
| spl33_980
| ~ spl33_13
| ~ spl33_385 ),
inference(avatar_split_clause,[],[f4513,f4371,f589,f18103,f18099]) ).
fof(f18099,plain,
( spl33_979
<=> sz00 = szszuzczcdt0(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_979])]) ).
fof(f18103,plain,
( spl33_980
<=> szszuzczcdt0(xi) = szszuzczcdt0(sK21(szszuzczcdt0(xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_980])]) ).
fof(f4513,plain,
( szszuzczcdt0(xi) = szszuzczcdt0(sK21(szszuzczcdt0(xi)))
| sz00 = szszuzczcdt0(xi)
| ~ spl33_13
| ~ spl33_385 ),
inference(resolution,[],[f4372,f591]) ).
fof(f17993,plain,
( spl33_977
| spl33_978
| ~ spl33_14
| ~ spl33_385 ),
inference(avatar_split_clause,[],[f4511,f4371,f594,f17990,f17986]) ).
fof(f17986,plain,
( spl33_977
<=> sz00 = szszuzczcdt0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_977])]) ).
fof(f17990,plain,
( spl33_978
<=> szszuzczcdt0(xK) = szszuzczcdt0(sK21(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_978])]) ).
fof(f4511,plain,
( szszuzczcdt0(xK) = szszuzczcdt0(sK21(szszuzczcdt0(xK)))
| sz00 = szszuzczcdt0(xK)
| ~ spl33_14
| ~ spl33_385 ),
inference(resolution,[],[f4372,f596]) ).
fof(f17941,plain,
( ~ spl33_18
| ~ spl33_975 ),
inference(avatar_contradiction_clause,[],[f17937]) ).
fof(f17937,plain,
( $false
| ~ spl33_18
| ~ spl33_975 ),
inference(resolution,[],[f17931,f615]) ).
fof(f17931,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl33_975 ),
inference(avatar_component_clause,[],[f17929]) ).
fof(f17929,plain,
( spl33_975
<=> aElementOf0(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_975])]) ).
fof(f17936,plain,
( spl33_975
| spl33_976
| ~ spl33_292
| ~ spl33_400 ),
inference(avatar_split_clause,[],[f4498,f4490,f3055,f17933,f17929]) ).
fof(f17933,plain,
( spl33_976
<=> xS = sdtlpdtrp0(xN,sK27(xS,xN,slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_976])]) ).
fof(f3055,plain,
( spl33_292
<=> ! [X0] :
( ~ sP6(xS,xN,X0)
| aElementOf0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_292])]) ).
fof(f4490,plain,
( spl33_400
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,slcrc0)) = X1
| sP6(X1,X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_400])]) ).
fof(f4498,plain,
( xS = sdtlpdtrp0(xN,sK27(xS,xN,slcrc0))
| aElementOf0(sz00,slcrc0)
| ~ spl33_292
| ~ spl33_400 ),
inference(resolution,[],[f4491,f3056]) ).
fof(f3056,plain,
( ! [X0] :
( ~ sP6(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl33_292 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f4491,plain,
( ! [X0,X1] :
( sP6(X1,X0,slcrc0)
| sdtlpdtrp0(X0,sK27(X1,X0,slcrc0)) = X1 )
| ~ spl33_400 ),
inference(avatar_component_clause,[],[f4490]) ).
fof(f17927,plain,
( spl33_974
| ~ spl33_23
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f4287,f4110,f638,f17925]) ).
fof(f17925,plain,
( spl33_974
<=> ! [X0] :
( aElementOf0(xS,sdtlcdtrc0(xN,X0))
| ~ aElementOf0(sz00,X0)
| ~ sP3(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_974])]) ).
fof(f638,plain,
( spl33_23
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f4110,plain,
( spl33_370
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP3(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_370])]) ).
fof(f4287,plain,
( ! [X0] :
( aElementOf0(xS,sdtlcdtrc0(xN,X0))
| ~ aElementOf0(sz00,X0)
| ~ sP3(X0,xN) )
| ~ spl33_23
| ~ spl33_370 ),
inference(superposition,[],[f4111,f640]) ).
fof(f640,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl33_23 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f4111,plain,
( ! [X2,X0,X1] :
( aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ aElementOf0(X0,X1)
| ~ sP3(X1,X2) )
| ~ spl33_370 ),
inference(avatar_component_clause,[],[f4110]) ).
fof(f17922,plain,
( ~ spl33_15
| ~ spl33_620
| spl33_973
| ~ spl33_20
| ~ spl33_340 ),
inference(avatar_split_clause,[],[f3714,f3710,f623,f17919,f9825,f599]) ).
fof(f9825,plain,
( spl33_620
<=> isCountable0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_620])]) ).
fof(f17919,plain,
( spl33_973
<=> isCountable0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_973])]) ).
fof(f623,plain,
( spl33_20
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f3710,plain,
( spl33_340
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_340])]) ).
fof(f3714,plain,
( isCountable0(sdtlpdtrp0(xN,xK))
| ~ isCountable0(sdtlpdtrp0(xN,xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_340 ),
inference(superposition,[],[f3711,f625]) ).
fof(f625,plain,
( xK = szszuzczcdt0(xk)
| ~ spl33_20 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f3711,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_340 ),
inference(avatar_component_clause,[],[f3710]) ).
fof(f17887,plain,
( ~ spl33_7
| spl33_972
| ~ spl33_45
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3708,f3690,f758,f17885,f558]) ).
fof(f17885,plain,
( spl33_972
<=> ! [X0] :
( sP0(xN,X0,szNzAzT0)
| aElement0(sK14(xN,X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_972])]) ).
fof(f3708,plain,
( ! [X0] :
( sP0(xN,X0,szNzAzT0)
| aElement0(sK14(xN,X0,szNzAzT0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_339 ),
inference(resolution,[],[f3691,f759]) ).
fof(f17883,plain,
( spl33_971
| ~ spl33_51
| ~ spl33_335 ),
inference(avatar_split_clause,[],[f3630,f3626,f782,f17881]) ).
fof(f17881,plain,
( spl33_971
<=> ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(szszuzczcdt0(X0),xk)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_971])]) ).
fof(f3630,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(szszuzczcdt0(X0),xk)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_335 ),
inference(resolution,[],[f3627,f783]) ).
fof(f17878,plain,
( ~ spl33_205
| ~ spl33_970
| spl33_603
| ~ spl33_265
| ~ spl33_327 ),
inference(avatar_split_clause,[],[f3612,f3445,f2784,f9335,f17875,f2223]) ).
fof(f2223,plain,
( spl33_205
<=> aElement0(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_205])]) ).
fof(f17875,plain,
( spl33_970
<=> aSet0(sdtmndt0(szNzAzT0,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_970])]) ).
fof(f2784,plain,
( spl33_265
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_265])]) ).
fof(f3612,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xi))
| ~ aElement0(xi)
| aElement0(X0) )
| ~ spl33_265
| ~ spl33_327 ),
inference(superposition,[],[f3446,f2786]) ).
fof(f2786,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi)
| ~ spl33_265 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f17872,plain,
( ~ spl33_204
| ~ spl33_969
| spl33_603
| ~ spl33_264
| ~ spl33_327 ),
inference(avatar_split_clause,[],[f3611,f3445,f2775,f9335,f17869,f2218]) ).
fof(f2218,plain,
( spl33_204
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_204])]) ).
fof(f17869,plain,
( spl33_969
<=> aSet0(sdtmndt0(szNzAzT0,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_969])]) ).
fof(f2775,plain,
( spl33_264
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_264])]) ).
fof(f3611,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xk))
| ~ aElement0(xk)
| aElement0(X0) )
| ~ spl33_264
| ~ spl33_327 ),
inference(superposition,[],[f3446,f2777]) ).
fof(f2777,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ spl33_264 ),
inference(avatar_component_clause,[],[f2775]) ).
fof(f17866,plain,
( ~ spl33_201
| ~ spl33_968
| spl33_603
| ~ spl33_263
| ~ spl33_327 ),
inference(avatar_split_clause,[],[f3610,f3445,f2766,f9335,f17863,f2202]) ).
fof(f2202,plain,
( spl33_201
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_201])]) ).
fof(f17863,plain,
( spl33_968
<=> aSet0(sdtmndt0(szNzAzT0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_968])]) ).
fof(f2766,plain,
( spl33_263
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_263])]) ).
fof(f3610,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xK))
| ~ aElement0(xK)
| aElement0(X0) )
| ~ spl33_263
| ~ spl33_327 ),
inference(superposition,[],[f3446,f2768]) ).
fof(f2768,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ spl33_263 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f17858,plain,
( ~ spl33_967
| spl33_218
| ~ spl33_66
| ~ spl33_328 ),
inference(avatar_split_clause,[],[f3455,f3449,f890,f2313,f17855]) ).
fof(f17855,plain,
( spl33_967
<=> aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_967])]) ).
fof(f2313,plain,
( spl33_218
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_218])]) ).
fof(f890,plain,
( spl33_66
<=> xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_66])]) ).
fof(f3449,plain,
( spl33_328
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_328])]) ).
fof(f3455,plain,
( sdtlseqdt0(xK,sz00)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slcrc0)
| ~ spl33_66
| ~ spl33_328 ),
inference(superposition,[],[f3450,f892]) ).
fof(f892,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ spl33_66 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f3450,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) )
| ~ spl33_328 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f17853,plain,
( spl33_966
| ~ spl33_222
| ~ spl33_954 ),
inference(avatar_split_clause,[],[f17742,f17582,f2367,f17850]) ).
fof(f17850,plain,
( spl33_966
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sbrdtbr0(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_966])]) ).
fof(f2367,plain,
( spl33_222
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_222])]) ).
fof(f17582,plain,
( spl33_954
<=> ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sbrdtbr0(X0)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_954])]) ).
fof(f17742,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sbrdtbr0(szDzozmdt0(xc))))
| ~ spl33_222
| ~ spl33_954 ),
inference(resolution,[],[f17583,f2368]) ).
fof(f2368,plain,
( aSet0(szDzozmdt0(xc))
| ~ spl33_222 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f17583,plain,
( ! [X0] :
( ~ aSet0(X0)
| szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sbrdtbr0(X0))) )
| ~ spl33_954 ),
inference(avatar_component_clause,[],[f17582]) ).
fof(f17845,plain,
( ~ spl33_1
| spl33_965
| ~ spl33_134
| ~ spl33_312 ),
inference(avatar_split_clause,[],[f3317,f3314,f1351,f17843,f528]) ).
fof(f528,plain,
( spl33_1
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f17843,plain,
( spl33_965
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_965])]) ).
fof(f1351,plain,
( spl33_134
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_134])]) ).
fof(f3314,plain,
( spl33_312
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_312])]) ).
fof(f3317,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc) )
| ~ spl33_134
| ~ spl33_312 ),
inference(resolution,[],[f3315,f1352]) ).
fof(f1352,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_134 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f3315,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) )
| ~ spl33_312 ),
inference(avatar_component_clause,[],[f3314]) ).
fof(f17841,plain,
( spl33_964
| ~ spl33_262
| ~ spl33_297 ),
inference(avatar_split_clause,[],[f3088,f3081,f2754,f17839]) ).
fof(f17839,plain,
( spl33_964
<=> ! [X0] :
( aElement0(sK24(sdtlbdtrb0(xN,X0)))
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_964])]) ).
fof(f3088,plain,
( ! [X0] :
( aElement0(sK24(sdtlbdtrb0(xN,X0)))
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| ~ aElement0(X0) )
| ~ spl33_262
| ~ spl33_297 ),
inference(resolution,[],[f3082,f2755]) ).
fof(f17837,plain,
( spl33_963
| ~ spl33_253
| ~ spl33_262 ),
inference(avatar_split_clause,[],[f2757,f2754,f2676,f17835]) ).
fof(f17835,plain,
( spl33_963
<=> ! [X0] :
( ~ aElement0(X0)
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| sP5(sK24(sdtlbdtrb0(xN,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_963])]) ).
fof(f2757,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| sP5(sK24(sdtlbdtrb0(xN,X0))) )
| ~ spl33_253
| ~ spl33_262 ),
inference(resolution,[],[f2755,f2677]) ).
fof(f17634,plain,
( spl33_961
| ~ spl33_962
| ~ spl33_253
| ~ spl33_898 ),
inference(avatar_split_clause,[],[f16548,f16516,f2676,f17631,f17627]) ).
fof(f17627,plain,
( spl33_961
<=> sP5(sK24(sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_961])]) ).
fof(f17631,plain,
( spl33_962
<=> isFinite0(sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_962])]) ).
fof(f16548,plain,
( ~ isFinite0(sK26(szDzozmdt0(xc)))
| sP5(sK24(sK26(szDzozmdt0(xc))))
| ~ spl33_253
| ~ spl33_898 ),
inference(resolution,[],[f16518,f2677]) ).
fof(f17619,plain,
( spl33_960
| ~ spl33_18
| ~ spl33_497 ),
inference(avatar_split_clause,[],[f6723,f6717,f614,f17617]) ).
fof(f17617,plain,
( spl33_960
<=> ! [X0] :
( sdtlseqdt0(sz00,sK15(X0,slcrc0,szNzAzT0))
| sP2(X0,slcrc0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_960])]) ).
fof(f6717,plain,
( spl33_497
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sz00,sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_497])]) ).
fof(f6723,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sK15(X0,slcrc0,szNzAzT0))
| sP2(X0,slcrc0,szNzAzT0) )
| ~ spl33_18
| ~ spl33_497 ),
inference(resolution,[],[f6718,f615]) ).
fof(f6718,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sz00,sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) )
| ~ spl33_497 ),
inference(avatar_component_clause,[],[f6717]) ).
fof(f17615,plain,
( spl33_959
| ~ spl33_18
| ~ spl33_496 ),
inference(avatar_split_clause,[],[f6676,f6670,f614,f17613]) ).
fof(f17613,plain,
( spl33_959
<=> ! [X0] :
( isFinite0(slbdtrb0(sK15(X0,slcrc0,szNzAzT0)))
| sP2(X0,slcrc0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_959])]) ).
fof(f6670,plain,
( spl33_496
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| isFinite0(slbdtrb0(sK15(X0,X1,szNzAzT0)))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_496])]) ).
fof(f6676,plain,
( ! [X0] :
( isFinite0(slbdtrb0(sK15(X0,slcrc0,szNzAzT0)))
| sP2(X0,slcrc0,szNzAzT0) )
| ~ spl33_18
| ~ spl33_496 ),
inference(resolution,[],[f6671,f615]) ).
fof(f6671,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| isFinite0(slbdtrb0(sK15(X0,X1,szNzAzT0)))
| sP2(X0,X1,szNzAzT0) )
| ~ spl33_496 ),
inference(avatar_component_clause,[],[f6670]) ).
fof(f17611,plain,
( spl33_958
| ~ spl33_18
| ~ spl33_455 ),
inference(avatar_split_clause,[],[f5845,f5471,f614,f17609]) ).
fof(f17609,plain,
( spl33_958
<=> ! [X0] :
( sK29(X0,slcrc0,slcrc0) = X0
| sP9(X0,slcrc0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_958])]) ).
fof(f5471,plain,
( spl33_455
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,slcrc0),X1)
| sK29(X0,X1,slcrc0) = X0
| sP9(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_455])]) ).
fof(f5845,plain,
( ! [X0] :
( sK29(X0,slcrc0,slcrc0) = X0
| sP9(X0,slcrc0,slcrc0) )
| ~ spl33_18
| ~ spl33_455 ),
inference(resolution,[],[f5472,f615]) ).
fof(f5472,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,slcrc0),X1)
| sK29(X0,X1,slcrc0) = X0
| sP9(X0,X1,slcrc0) )
| ~ spl33_455 ),
inference(avatar_component_clause,[],[f5471]) ).
fof(f17607,plain,
( spl33_957
| ~ spl33_146
| ~ spl33_422 ),
inference(avatar_split_clause,[],[f5128,f4819,f1454,f17605]) ).
fof(f17605,plain,
( spl33_957
<=> ! [X0] :
( sP4(sz00,X0)
| ~ aSet0(X0)
| aElementOf0(sK22(sz00,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_957])]) ).
fof(f1454,plain,
( spl33_146
<=> ! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_146])]) ).
fof(f4819,plain,
( spl33_422
<=> ! [X0] :
( aElementOf0(sK22(sz00,X0),X0)
| sP4(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK22(sz00,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_422])]) ).
fof(f5128,plain,
( ! [X0] :
( sP4(sz00,X0)
| ~ aSet0(X0)
| aElementOf0(sK22(sz00,X0),X0) )
| ~ spl33_146
| ~ spl33_422 ),
inference(duplicate_literal_removal,[],[f5115]) ).
fof(f5115,plain,
( ! [X0] :
( sP4(sz00,X0)
| ~ aSet0(X0)
| aElementOf0(sK22(sz00,X0),X0)
| aElementOf0(sK22(sz00,X0),X0)
| sP4(sz00,X0)
| ~ aSet0(X0) )
| ~ spl33_146
| ~ spl33_422 ),
inference(resolution,[],[f4820,f1455]) ).
fof(f1455,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ spl33_146 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f4820,plain,
( ! [X0] :
( ~ aElementOf0(sK22(sz00,X0),szNzAzT0)
| sP4(sz00,X0)
| ~ aSet0(X0)
| aElementOf0(sK22(sz00,X0),X0) )
| ~ spl33_422 ),
inference(avatar_component_clause,[],[f4819]) ).
fof(f17599,plain,
( ~ spl33_9
| spl33_956
| ~ spl33_18
| ~ spl33_414 ),
inference(avatar_split_clause,[],[f5034,f4786,f614,f17597,f568]) ).
fof(f17597,plain,
( spl33_956
<=> ! [X0] :
( sP4(X0,slcrc0)
| sdtlseqdt0(sz00,sK22(X0,slcrc0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_956])]) ).
fof(f4786,plain,
( spl33_414
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_414])]) ).
fof(f5034,plain,
( ! [X0] :
( sP4(X0,slcrc0)
| ~ aSet0(slcrc0)
| sdtlseqdt0(sz00,sK22(X0,slcrc0)) )
| ~ spl33_18
| ~ spl33_414 ),
inference(resolution,[],[f4787,f615]) ).
fof(f4787,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK22(X0,X1)) )
| ~ spl33_414 ),
inference(avatar_component_clause,[],[f4786]) ).
fof(f17588,plain,
( ~ spl33_9
| spl33_955
| ~ spl33_18
| ~ spl33_413 ),
inference(avatar_split_clause,[],[f4993,f4782,f614,f17586,f568]) ).
fof(f17586,plain,
( spl33_955
<=> ! [X0] :
( sP4(X0,slcrc0)
| isFinite0(slbdtrb0(sK22(X0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_955])]) ).
fof(f4782,plain,
( spl33_413
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK22(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_413])]) ).
fof(f4993,plain,
( ! [X0] :
( sP4(X0,slcrc0)
| ~ aSet0(slcrc0)
| isFinite0(slbdtrb0(sK22(X0,slcrc0))) )
| ~ spl33_18
| ~ spl33_413 ),
inference(resolution,[],[f4783,f615]) ).
fof(f4783,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK22(X0,X1))) )
| ~ spl33_413 ),
inference(avatar_component_clause,[],[f4782]) ).
fof(f17584,plain,
( spl33_954
| ~ spl33_25
| ~ spl33_376 ),
inference(avatar_split_clause,[],[f4177,f4170,f647,f17582]) ).
fof(f4177,plain,
( ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sbrdtbr0(X0)))
| ~ aSet0(X0) )
| ~ spl33_25
| ~ spl33_376 ),
inference(resolution,[],[f4171,f648]) ).
fof(f17580,plain,
( spl33_953
| ~ spl33_294
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11007,f10262,f3069,f17577]) ).
fof(f17577,plain,
( spl33_953
<=> szszuzczcdt0(szszuzczcdt0(sz00)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_953])]) ).
fof(f3069,plain,
( spl33_294
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_294])]) ).
fof(f10262,plain,
( spl33_654
<=> aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_654])]) ).
fof(f11007,plain,
( szszuzczcdt0(szszuzczcdt0(sz00)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl33_294
| ~ spl33_654 ),
inference(resolution,[],[f10263,f3070]) ).
fof(f3070,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_294 ),
inference(avatar_component_clause,[],[f3069]) ).
fof(f10263,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ spl33_654 ),
inference(avatar_component_clause,[],[f10262]) ).
fof(f17575,plain,
( spl33_952
| ~ spl33_250
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3796,f3779,f2631,f17573]) ).
fof(f17573,plain,
( spl33_952
<=> ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| aElement0(szszuzczcdt0(sK16(X0,szNzAzT0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_952])]) ).
fof(f2631,plain,
( spl33_250
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_250])]) ).
fof(f3796,plain,
( ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| aElement0(szszuzczcdt0(sK16(X0,szNzAzT0,slcrc0))) )
| ~ spl33_250
| ~ spl33_351 ),
inference(resolution,[],[f3780,f2632]) ).
fof(f2632,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) )
| ~ spl33_250 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f17571,plain,
( spl33_951
| ~ spl33_221
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3795,f3779,f2330,f17569]) ).
fof(f17569,plain,
( spl33_951
<=> ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| sP5(szszuzczcdt0(sK16(X0,szNzAzT0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_951])]) ).
fof(f3795,plain,
( ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| sP5(szszuzczcdt0(sK16(X0,szNzAzT0,slcrc0))) )
| ~ spl33_221
| ~ spl33_351 ),
inference(resolution,[],[f3780,f2331]) ).
fof(f17567,plain,
( spl33_950
| ~ spl33_36
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3791,f3779,f699,f17565]) ).
fof(f17565,plain,
( spl33_950
<=> ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| sdtlseqdt0(sz00,sK16(X0,szNzAzT0,slcrc0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_950])]) ).
fof(f699,plain,
( spl33_36
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_36])]) ).
fof(f3791,plain,
( ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| sdtlseqdt0(sz00,sK16(X0,szNzAzT0,slcrc0)) )
| ~ spl33_36
| ~ spl33_351 ),
inference(resolution,[],[f3780,f700]) ).
fof(f700,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl33_36 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f17563,plain,
( spl33_949
| ~ spl33_34
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3789,f3779,f691,f17561]) ).
fof(f17561,plain,
( spl33_949
<=> ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| isFinite0(slbdtrb0(sK16(X0,szNzAzT0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_949])]) ).
fof(f691,plain,
( spl33_34
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f3789,plain,
( ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| isFinite0(slbdtrb0(sK16(X0,szNzAzT0,slcrc0))) )
| ~ spl33_34
| ~ spl33_351 ),
inference(resolution,[],[f3780,f692]) ).
fof(f692,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f17559,plain,
( spl33_948
| ~ spl33_214
| ~ spl33_321 ),
inference(avatar_split_clause,[],[f3514,f3416,f2290,f17557]) ).
fof(f17557,plain,
( spl33_948
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ isFinite0(X0)
| ~ sP5(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_948])]) ).
fof(f3416,plain,
( spl33_321
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_321])]) ).
fof(f3514,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ isFinite0(X0)
| ~ sP5(sK24(X0)) )
| ~ spl33_214
| ~ spl33_321 ),
inference(resolution,[],[f3417,f2291]) ).
fof(f3417,plain,
( ! [X0] :
( ~ aSet0(slbdtrb0(sK24(X0)))
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ isFinite0(X0) )
| ~ spl33_321 ),
inference(avatar_component_clause,[],[f3416]) ).
fof(f17555,plain,
( spl33_947
| ~ spl33_250
| ~ spl33_309 ),
inference(avatar_split_clause,[],[f3300,f3161,f2631,f17553]) ).
fof(f17553,plain,
( spl33_947
<=> ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| aElement0(szszuzczcdt0(sK28(X0,szNzAzT0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_947])]) ).
fof(f3161,plain,
( spl33_309
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,X1),X1)
| sP8(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_309])]) ).
fof(f3300,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| aElement0(szszuzczcdt0(sK28(X0,szNzAzT0,szNzAzT0))) )
| ~ spl33_250
| ~ spl33_309 ),
inference(resolution,[],[f3162,f2632]) ).
fof(f3162,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,X1),X1)
| sP8(X0,X1,X1) )
| ~ spl33_309 ),
inference(avatar_component_clause,[],[f3161]) ).
fof(f17551,plain,
( spl33_946
| ~ spl33_221
| ~ spl33_309 ),
inference(avatar_split_clause,[],[f3299,f3161,f2330,f17549]) ).
fof(f17549,plain,
( spl33_946
<=> ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| sP5(szszuzczcdt0(sK28(X0,szNzAzT0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_946])]) ).
fof(f3299,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| sP5(szszuzczcdt0(sK28(X0,szNzAzT0,szNzAzT0))) )
| ~ spl33_221
| ~ spl33_309 ),
inference(resolution,[],[f3162,f2331]) ).
fof(f17547,plain,
( spl33_945
| ~ spl33_36
| ~ spl33_309 ),
inference(avatar_split_clause,[],[f3295,f3161,f699,f17545]) ).
fof(f17545,plain,
( spl33_945
<=> ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,szNzAzT0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_945])]) ).
fof(f3295,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,szNzAzT0,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_309 ),
inference(resolution,[],[f3162,f700]) ).
fof(f17543,plain,
( spl33_944
| ~ spl33_34
| ~ spl33_309 ),
inference(avatar_split_clause,[],[f3293,f3161,f691,f17541]) ).
fof(f17541,plain,
( spl33_944
<=> ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,szNzAzT0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_944])]) ).
fof(f3293,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,szNzAzT0,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_309 ),
inference(resolution,[],[f3162,f692]) ).
fof(f17534,plain,
( spl33_816
| ~ spl33_17
| ~ spl33_362
| ~ spl33_859 ),
inference(avatar_split_clause,[],[f17212,f15714,f4043,f609,f15117]) ).
fof(f15117,plain,
( spl33_816
<=> sdtlseqdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_816])]) ).
fof(f4043,plain,
( spl33_362
<=> ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_362])]) ).
fof(f15714,plain,
( spl33_859
<=> sdtlseqdt0(xK,szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_859])]) ).
fof(f17212,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| sdtlseqdt0(xk,sz00)
| ~ spl33_362
| ~ spl33_859 ),
inference(resolution,[],[f15716,f4044]) ).
fof(f4044,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xk,X0) )
| ~ spl33_362 ),
inference(avatar_component_clause,[],[f4043]) ).
fof(f15716,plain,
( sdtlseqdt0(xK,szszuzczcdt0(sz00))
| ~ spl33_859 ),
inference(avatar_component_clause,[],[f15714]) ).
fof(f17533,plain,
( spl33_943
| ~ spl33_250
| ~ spl33_307 ),
inference(avatar_split_clause,[],[f3273,f3152,f2631,f17531]) ).
fof(f17531,plain,
( spl33_943
<=> ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| aElement0(szszuzczcdt0(sK28(X0,slcrc0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_943])]) ).
fof(f3152,plain,
( spl33_307
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,slcrc0,X1),X1)
| sP8(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_307])]) ).
fof(f3273,plain,
( ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| aElement0(szszuzczcdt0(sK28(X0,slcrc0,szNzAzT0))) )
| ~ spl33_250
| ~ spl33_307 ),
inference(resolution,[],[f3153,f2632]) ).
fof(f3153,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,slcrc0,X1),X1)
| sP8(X0,slcrc0,X1) )
| ~ spl33_307 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f17529,plain,
( spl33_942
| ~ spl33_221
| ~ spl33_307 ),
inference(avatar_split_clause,[],[f3272,f3152,f2330,f17527]) ).
fof(f17527,plain,
( spl33_942
<=> ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| sP5(szszuzczcdt0(sK28(X0,slcrc0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_942])]) ).
fof(f3272,plain,
( ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| sP5(szszuzczcdt0(sK28(X0,slcrc0,szNzAzT0))) )
| ~ spl33_221
| ~ spl33_307 ),
inference(resolution,[],[f3153,f2331]) ).
fof(f17525,plain,
( spl33_941
| ~ spl33_36
| ~ spl33_307 ),
inference(avatar_split_clause,[],[f3268,f3152,f699,f17523]) ).
fof(f17523,plain,
( spl33_941
<=> ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,slcrc0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_941])]) ).
fof(f3268,plain,
( ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,slcrc0,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_307 ),
inference(resolution,[],[f3153,f700]) ).
fof(f17521,plain,
( spl33_940
| ~ spl33_34
| ~ spl33_307 ),
inference(avatar_split_clause,[],[f3266,f3152,f691,f17519]) ).
fof(f17519,plain,
( spl33_940
<=> ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,slcrc0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_940])]) ).
fof(f3266,plain,
( ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,slcrc0,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_307 ),
inference(resolution,[],[f3153,f692]) ).
fof(f17517,plain,
( spl33_939
| ~ spl33_250
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3251,f3148,f2631,f17515]) ).
fof(f17515,plain,
( spl33_939
<=> ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| aElement0(szszuzczcdt0(sK28(X0,szNzAzT0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_939])]) ).
fof(f3148,plain,
( spl33_306
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,slcrc0),X1)
| sP8(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_306])]) ).
fof(f3251,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| aElement0(szszuzczcdt0(sK28(X0,szNzAzT0,slcrc0))) )
| ~ spl33_250
| ~ spl33_306 ),
inference(resolution,[],[f3149,f2632]) ).
fof(f3149,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,slcrc0),X1)
| sP8(X0,X1,slcrc0) )
| ~ spl33_306 ),
inference(avatar_component_clause,[],[f3148]) ).
fof(f17513,plain,
( spl33_938
| ~ spl33_221
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3250,f3148,f2330,f17511]) ).
fof(f17511,plain,
( spl33_938
<=> ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| sP5(szszuzczcdt0(sK28(X0,szNzAzT0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_938])]) ).
fof(f3250,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| sP5(szszuzczcdt0(sK28(X0,szNzAzT0,slcrc0))) )
| ~ spl33_221
| ~ spl33_306 ),
inference(resolution,[],[f3149,f2331]) ).
fof(f17509,plain,
( spl33_937
| ~ spl33_36
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3246,f3148,f699,f17507]) ).
fof(f17507,plain,
( spl33_937
<=> ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| sdtlseqdt0(sz00,sK28(X0,szNzAzT0,slcrc0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_937])]) ).
fof(f3246,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| sdtlseqdt0(sz00,sK28(X0,szNzAzT0,slcrc0)) )
| ~ spl33_36
| ~ spl33_306 ),
inference(resolution,[],[f3149,f700]) ).
fof(f17505,plain,
( spl33_936
| ~ spl33_34
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3244,f3148,f691,f17503]) ).
fof(f17503,plain,
( spl33_936
<=> ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| isFinite0(slbdtrb0(sK28(X0,szNzAzT0,slcrc0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_936])]) ).
fof(f3244,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| isFinite0(slbdtrb0(sK28(X0,szNzAzT0,slcrc0))) )
| ~ spl33_34
| ~ spl33_306 ),
inference(resolution,[],[f3149,f692]) ).
fof(f17501,plain,
( spl33_935
| ~ spl33_61
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3139,f3131,f845,f17499]) ).
fof(f17499,plain,
( spl33_935
<=> ! [X0,X1] :
( sP4(X0,szNzAzT0)
| sP11(X1,sK22(X0,szNzAzT0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_935])]) ).
fof(f3131,plain,
( spl33_305
<=> ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_305])]) ).
fof(f3139,plain,
( ! [X0,X1] :
( sP4(X0,szNzAzT0)
| sP11(X1,sK22(X0,szNzAzT0))
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_305 ),
inference(resolution,[],[f3132,f846]) ).
fof(f3132,plain,
( ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0) )
| ~ spl33_305 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f17497,plain,
( spl33_934
| ~ spl33_35
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3136,f3131,f695,f17495]) ).
fof(f17495,plain,
( spl33_934
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| sdtlseqdt0(sK22(X0,szNzAzT0),sK22(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_934])]) ).
fof(f695,plain,
( spl33_35
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_35])]) ).
fof(f3136,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| sdtlseqdt0(sK22(X0,szNzAzT0),sK22(X0,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_305 ),
inference(resolution,[],[f3132,f696]) ).
fof(f696,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl33_35 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f17493,plain,
( spl33_933
| ~ spl33_127
| ~ spl33_249 ),
inference(avatar_split_clause,[],[f2702,f2627,f1302,f17491]) ).
fof(f17491,plain,
( spl33_933
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X1)
| ~ sP4(szszuzczcdt0(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_933])]) ).
fof(f2627,plain,
( spl33_249
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_249])]) ).
fof(f2702,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X1)
| ~ sP4(szszuzczcdt0(X0),X1) )
| ~ spl33_127
| ~ spl33_249 ),
inference(duplicate_literal_removal,[],[f2693]) ).
fof(f2693,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(szszuzczcdt0(X0),X1) )
| ~ spl33_127
| ~ spl33_249 ),
inference(resolution,[],[f2628,f1303]) ).
fof(f2628,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_249 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f17489,plain,
( spl33_932
| ~ spl33_90
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2640,f2631,f1030,f17487]) ).
fof(f17487,plain,
( spl33_932
<=> ! [X0] :
( aElement0(szszuzczcdt0(sK21(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_932])]) ).
fof(f1030,plain,
( spl33_90
<=> ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_90])]) ).
fof(f2640,plain,
( ! [X0] :
( aElement0(szszuzczcdt0(sK21(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_90
| ~ spl33_250 ),
inference(resolution,[],[f2632,f1031]) ).
fof(f1031,plain,
( ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_90 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f17458,plain,
( ~ spl33_9
| spl33_931
| ~ spl33_128
| ~ spl33_235 ),
inference(avatar_split_clause,[],[f2445,f2428,f1306,f17456,f568]) ).
fof(f17456,plain,
( spl33_931
<=> ! [X0] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_931])]) ).
fof(f1306,plain,
( spl33_128
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_128])]) ).
fof(f2445,plain,
( ! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_128
| ~ spl33_235 ),
inference(duplicate_literal_removal,[],[f2432]) ).
fof(f2432,plain,
( ! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl33_128
| ~ spl33_235 ),
inference(resolution,[],[f2429,f1307]) ).
fof(f1307,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_128 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f17454,plain,
( spl33_930
| ~ spl33_90
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2339,f2330,f1030,f17452]) ).
fof(f17452,plain,
( spl33_930
<=> ! [X0] :
( sP5(szszuzczcdt0(sK21(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_930])]) ).
fof(f2339,plain,
( ! [X0] :
( sP5(szszuzczcdt0(sK21(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_90
| ~ spl33_221 ),
inference(resolution,[],[f2331,f1031]) ).
fof(f17232,plain,
( ~ spl33_7
| spl33_929
| ~ spl33_101
| ~ spl33_619 ),
inference(avatar_split_clause,[],[f9958,f9821,f1113,f17230,f558]) ).
fof(f17230,plain,
( spl33_929
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xk))
| aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_929])]) ).
fof(f9821,plain,
( spl33_619
<=> aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_619])]) ).
fof(f9958,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xk))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_101
| ~ spl33_619 ),
inference(resolution,[],[f9822,f1114]) ).
fof(f9822,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| ~ spl33_619 ),
inference(avatar_component_clause,[],[f9821]) ).
fof(f17223,plain,
( ~ spl33_226
| spl33_928
| ~ spl33_9
| ~ spl33_235
| ~ spl33_481 ),
inference(avatar_split_clause,[],[f6520,f6516,f2428,f568,f17220,f2385]) ).
fof(f2385,plain,
( spl33_226
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_226])]) ).
fof(f17220,plain,
( spl33_928
<=> aSubsetOf0(slcrc0,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_928])]) ).
fof(f6516,plain,
( spl33_481
<=> ! [X0] :
( aSubsetOf0(X0,xT)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_481])]) ).
fof(f6520,plain,
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,xT)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl33_235
| ~ spl33_481 ),
inference(resolution,[],[f6517,f2429]) ).
fof(f6517,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0)
| aSubsetOf0(X0,xT) )
| ~ spl33_481 ),
inference(avatar_component_clause,[],[f6516]) ).
fof(f17210,plain,
( ~ spl33_927
| spl33_915
| ~ spl33_46
| ~ spl33_460 ),
inference(avatar_split_clause,[],[f6037,f6029,f762,f16710,f17207]) ).
fof(f17207,plain,
( spl33_927
<=> aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_927])]) ).
fof(f16710,plain,
( spl33_915
<=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_915])]) ).
fof(f6029,plain,
( spl33_460
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_460])]) ).
fof(f6037,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl33_46
| ~ spl33_460 ),
inference(resolution,[],[f6031,f763]) ).
fof(f6031,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl33_460 ),
inference(avatar_component_clause,[],[f6029]) ).
fof(f17178,plain,
( spl33_926
| ~ spl33_215
| ~ spl33_248 ),
inference(avatar_split_clause,[],[f14870,f2601,f2294,f17175]) ).
fof(f14870,plain,
( sP4(xi,slcrc0)
| ~ spl33_215
| ~ spl33_248 ),
inference(superposition,[],[f2296,f2603]) ).
fof(f17110,plain,
( spl33_925
| spl33_248
| ~ spl33_13
| ~ spl33_366 ),
inference(avatar_split_clause,[],[f4208,f4078,f589,f2601,f17107]) ).
fof(f17107,plain,
( spl33_925
<=> sK21(xi) = sbrdtbr0(slbdtrb0(sK21(xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_925])]) ).
fof(f4078,plain,
( spl33_366
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK21(X0) = sbrdtbr0(slbdtrb0(sK21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_366])]) ).
fof(f4208,plain,
( sz00 = xi
| sK21(xi) = sbrdtbr0(slbdtrb0(sK21(xi)))
| ~ spl33_13
| ~ spl33_366 ),
inference(resolution,[],[f4079,f591]) ).
fof(f4079,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sK21(X0) = sbrdtbr0(slbdtrb0(sK21(X0))) )
| ~ spl33_366 ),
inference(avatar_component_clause,[],[f4078]) ).
fof(f17105,plain,
( spl33_924
| ~ spl33_243
| ~ spl33_309 ),
inference(avatar_split_clause,[],[f3307,f3161,f2509,f17103]) ).
fof(f17103,plain,
( spl33_924
<=> ! [X0] :
( sP8(X0,xS,xS)
| aElementOf0(sK28(X0,xS,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_924])]) ).
fof(f3307,plain,
( ! [X0] :
( sP8(X0,xS,xS)
| aElementOf0(sK28(X0,xS,xS),szNzAzT0) )
| ~ spl33_243
| ~ spl33_309 ),
inference(resolution,[],[f3162,f2510]) ).
fof(f17045,plain,
( spl33_923
| ~ spl33_246
| ~ spl33_275 ),
inference(avatar_split_clause,[],[f14811,f2830,f2566,f17042]) ).
fof(f17042,plain,
( spl33_923
<=> sdtlseqdt0(xk,sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_923])]) ).
fof(f14811,plain,
( sdtlseqdt0(xk,sK26(szNzAzT0))
| ~ spl33_246
| ~ spl33_275 ),
inference(superposition,[],[f2832,f2568]) ).
fof(f17034,plain,
( spl33_808
| ~ spl33_215
| ~ spl33_246 ),
inference(avatar_split_clause,[],[f16805,f2566,f2294,f15007]) ).
fof(f16805,plain,
( sP4(xk,slcrc0)
| ~ spl33_215
| ~ spl33_246 ),
inference(superposition,[],[f2296,f2568]) ).
fof(f17029,plain,
( spl33_920
| ~ spl33_20
| ~ spl33_246
| ~ spl33_858 ),
inference(avatar_split_clause,[],[f16881,f15710,f2566,f623,f16888]) ).
fof(f16888,plain,
( spl33_920
<=> sdtlseqdt0(xK,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_920])]) ).
fof(f15710,plain,
( spl33_858
<=> sdtlseqdt0(szszuzczcdt0(sz00),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_858])]) ).
fof(f16881,plain,
( sdtlseqdt0(xK,xk)
| ~ spl33_20
| ~ spl33_246
| ~ spl33_858 ),
inference(forward_demodulation,[],[f16849,f625]) ).
fof(f16849,plain,
( sdtlseqdt0(szszuzczcdt0(xk),xk)
| ~ spl33_246
| ~ spl33_858 ),
inference(superposition,[],[f15712,f2568]) ).
fof(f15712,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),xk)
| ~ spl33_858 ),
inference(avatar_component_clause,[],[f15710]) ).
fof(f16901,plain,
( spl33_922
| ~ spl33_808
| ~ spl33_857 ),
inference(avatar_split_clause,[],[f16765,f15699,f15007,f16898]) ).
fof(f16898,plain,
( spl33_922
<=> sP4(xk,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_922])]) ).
fof(f16765,plain,
( sP4(xk,xS)
| ~ spl33_808
| ~ spl33_857 ),
inference(forward_demodulation,[],[f15009,f15701]) ).
fof(f15009,plain,
( sP4(xk,slcrc0)
| ~ spl33_808 ),
inference(avatar_component_clause,[],[f15007]) ).
fof(f16896,plain,
( ~ spl33_921
| ~ spl33_246
| spl33_248 ),
inference(avatar_split_clause,[],[f14808,f2601,f2566,f16893]) ).
fof(f16893,plain,
( spl33_921
<=> xk = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_921])]) ).
fof(f14808,plain,
( xk != xi
| ~ spl33_246
| spl33_248 ),
inference(superposition,[],[f2602,f2568]) ).
fof(f2602,plain,
( sz00 != xi
| spl33_248 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f16891,plain,
( ~ spl33_920
| spl33_218
| ~ spl33_246 ),
inference(avatar_split_clause,[],[f14806,f2566,f2313,f16888]) ).
fof(f14806,plain,
( ~ sdtlseqdt0(xK,xk)
| spl33_218
| ~ spl33_246 ),
inference(superposition,[],[f2315,f2568]) ).
fof(f2315,plain,
( ~ sdtlseqdt0(xK,sz00)
| spl33_218 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f16763,plain,
( spl33_919
| spl33_246
| ~ spl33_15
| ~ spl33_366 ),
inference(avatar_split_clause,[],[f4207,f4078,f599,f2566,f16760]) ).
fof(f16760,plain,
( spl33_919
<=> sK21(xk) = sbrdtbr0(slbdtrb0(sK21(xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_919])]) ).
fof(f4207,plain,
( sz00 = xk
| sK21(xk) = sbrdtbr0(slbdtrb0(sK21(xk)))
| ~ spl33_15
| ~ spl33_366 ),
inference(resolution,[],[f4079,f601]) ).
fof(f16728,plain,
( spl33_918
| spl33_12
| ~ spl33_14
| ~ spl33_366 ),
inference(avatar_split_clause,[],[f4206,f4078,f594,f584,f16725]) ).
fof(f16725,plain,
( spl33_918
<=> sK21(xK) = sbrdtbr0(slbdtrb0(sK21(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_918])]) ).
fof(f4206,plain,
( sz00 = xK
| sK21(xK) = sbrdtbr0(slbdtrb0(sK21(xK)))
| ~ spl33_14
| ~ spl33_366 ),
inference(resolution,[],[f4079,f596]) ).
fof(f16723,plain,
( spl33_917
| ~ spl33_240
| ~ spl33_898 ),
inference(avatar_split_clause,[],[f16547,f16516,f2488,f16720]) ).
fof(f16720,plain,
( spl33_917
<=> sP3(sK26(szDzozmdt0(xc)),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_917])]) ).
fof(f2488,plain,
( spl33_240
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_240])]) ).
fof(f16547,plain,
( sP3(sK26(szDzozmdt0(xc)),xN)
| ~ spl33_240
| ~ spl33_898 ),
inference(resolution,[],[f16518,f2489]) ).
fof(f2489,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN) )
| ~ spl33_240 ),
inference(avatar_component_clause,[],[f2488]) ).
fof(f16717,plain,
( ~ spl33_915
| ~ spl33_916
| ~ spl33_37
| ~ spl33_364 ),
inference(avatar_split_clause,[],[f4076,f4068,f703,f16714,f16710]) ).
fof(f16714,plain,
( spl33_916
<=> isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_916])]) ).
fof(f703,plain,
( spl33_37
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_37])]) ).
fof(f4068,plain,
( spl33_364
<=> isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_364])]) ).
fof(f4076,plain,
( ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ spl33_37
| ~ spl33_364 ),
inference(resolution,[],[f4070,f704]) ).
fof(f704,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f4070,plain,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ spl33_364 ),
inference(avatar_component_clause,[],[f4068]) ).
fof(f16708,plain,
( ~ spl33_914
| ~ spl33_234
| spl33_355 ),
inference(avatar_split_clause,[],[f3998,f3990,f2424,f16705]) ).
fof(f16705,plain,
( spl33_914
<=> sP11(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_914])]) ).
fof(f2424,plain,
( spl33_234
<=> ! [X0,X1] :
( ~ sP11(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_234])]) ).
fof(f3990,plain,
( spl33_355
<=> aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_355])]) ).
fof(f3998,plain,
( ~ sP11(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)
| ~ spl33_234
| spl33_355 ),
inference(resolution,[],[f3992,f2425]) ).
fof(f2425,plain,
( ! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl33_234 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f3992,plain,
( ~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| spl33_355 ),
inference(avatar_component_clause,[],[f3990]) ).
fof(f16701,plain,
( spl33_913
| ~ spl33_238
| ~ spl33_352 ),
inference(avatar_split_clause,[],[f3821,f3809,f2472,f16699]) ).
fof(f16699,plain,
( spl33_913
<=> ! [X0] :
( sP10(X0,szNzAzT0,slcrc0)
| sP1(sK32(X0,szNzAzT0,slcrc0),xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_913])]) ).
fof(f2472,plain,
( spl33_238
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_238])]) ).
fof(f3821,plain,
( ! [X0] :
( sP10(X0,szNzAzT0,slcrc0)
| sP1(sK32(X0,szNzAzT0,slcrc0),xN) )
| ~ spl33_238
| ~ spl33_352 ),
inference(resolution,[],[f3810,f2473]) ).
fof(f2473,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN) )
| ~ spl33_238 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f16695,plain,
( spl33_912
| ~ spl33_240
| ~ spl33_352 ),
inference(avatar_split_clause,[],[f3820,f3809,f2488,f16693]) ).
fof(f16693,plain,
( spl33_912
<=> ! [X0] :
( sP10(X0,szNzAzT0,slcrc0)
| sP3(sK32(X0,szNzAzT0,slcrc0),xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_912])]) ).
fof(f3820,plain,
( ! [X0] :
( sP10(X0,szNzAzT0,slcrc0)
| sP3(sK32(X0,szNzAzT0,slcrc0),xN) )
| ~ spl33_240
| ~ spl33_352 ),
inference(resolution,[],[f3810,f2489]) ).
fof(f16690,plain,
( spl33_911
| ~ spl33_243
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3807,f3779,f2509,f16688]) ).
fof(f16688,plain,
( spl33_911
<=> ! [X0] :
( sP2(X0,xS,slcrc0)
| aElementOf0(sK16(X0,xS,slcrc0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_911])]) ).
fof(f3807,plain,
( ! [X0] :
( sP2(X0,xS,slcrc0)
| aElementOf0(sK16(X0,xS,slcrc0),szNzAzT0) )
| ~ spl33_243
| ~ spl33_351 ),
inference(resolution,[],[f3780,f2510]) ).
fof(f16686,plain,
( spl33_910
| ~ spl33_250
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3701,f3690,f2631,f16684]) ).
fof(f16684,plain,
( spl33_910
<=> ! [X0] :
( sP0(xN,X0,szNzAzT0)
| aElement0(szszuzczcdt0(sK14(xN,X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_910])]) ).
fof(f3701,plain,
( ! [X0] :
( sP0(xN,X0,szNzAzT0)
| aElement0(szszuzczcdt0(sK14(xN,X0,szNzAzT0))) )
| ~ spl33_250
| ~ spl33_339 ),
inference(resolution,[],[f3691,f2632]) ).
fof(f16682,plain,
( spl33_909
| ~ spl33_221
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3700,f3690,f2330,f16680]) ).
fof(f16680,plain,
( spl33_909
<=> ! [X0] :
( sP0(xN,X0,szNzAzT0)
| sP5(szszuzczcdt0(sK14(xN,X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_909])]) ).
fof(f3700,plain,
( ! [X0] :
( sP0(xN,X0,szNzAzT0)
| sP5(szszuzczcdt0(sK14(xN,X0,szNzAzT0))) )
| ~ spl33_221
| ~ spl33_339 ),
inference(resolution,[],[f3691,f2331]) ).
fof(f16678,plain,
( spl33_908
| ~ spl33_36
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3696,f3690,f699,f16676]) ).
fof(f16676,plain,
( spl33_908
<=> ! [X0] :
( sP0(xN,X0,szNzAzT0)
| sdtlseqdt0(sz00,sK14(xN,X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_908])]) ).
fof(f3696,plain,
( ! [X0] :
( sP0(xN,X0,szNzAzT0)
| sdtlseqdt0(sz00,sK14(xN,X0,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_339 ),
inference(resolution,[],[f3691,f700]) ).
fof(f16674,plain,
( spl33_907
| ~ spl33_34
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3694,f3690,f691,f16672]) ).
fof(f16672,plain,
( spl33_907
<=> ! [X0] :
( sP0(xN,X0,szNzAzT0)
| isFinite0(slbdtrb0(sK14(xN,X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_907])]) ).
fof(f3694,plain,
( ! [X0] :
( sP0(xN,X0,szNzAzT0)
| isFinite0(slbdtrb0(sK14(xN,X0,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_339 ),
inference(resolution,[],[f3691,f692]) ).
fof(f16670,plain,
( spl33_906
| ~ spl33_238
| ~ spl33_898 ),
inference(avatar_split_clause,[],[f16546,f16516,f2472,f16667]) ).
fof(f16667,plain,
( spl33_906
<=> sP1(sK26(szDzozmdt0(xc)),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_906])]) ).
fof(f16546,plain,
( sP1(sK26(szDzozmdt0(xc)),xN)
| ~ spl33_238
| ~ spl33_898 ),
inference(resolution,[],[f16518,f2473]) ).
fof(f16664,plain,
( spl33_905
| ~ spl33_243
| ~ spl33_307 ),
inference(avatar_split_clause,[],[f3280,f3152,f2509,f16662]) ).
fof(f16662,plain,
( spl33_905
<=> ! [X0] :
( sP8(X0,slcrc0,xS)
| aElementOf0(sK28(X0,slcrc0,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_905])]) ).
fof(f3280,plain,
( ! [X0] :
( sP8(X0,slcrc0,xS)
| aElementOf0(sK28(X0,slcrc0,xS),szNzAzT0) )
| ~ spl33_243
| ~ spl33_307 ),
inference(resolution,[],[f3153,f2510]) ).
fof(f16659,plain,
( spl33_904
| ~ spl33_243
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3258,f3148,f2509,f16657]) ).
fof(f16657,plain,
( spl33_904
<=> ! [X0] :
( sP8(X0,xS,slcrc0)
| aElementOf0(sK28(X0,xS,slcrc0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_904])]) ).
fof(f3258,plain,
( ! [X0] :
( sP8(X0,xS,slcrc0)
| aElementOf0(sK28(X0,xS,slcrc0),szNzAzT0) )
| ~ spl33_243
| ~ spl33_306 ),
inference(resolution,[],[f3149,f2510]) ).
fof(f16654,plain,
( ~ spl33_1
| ~ spl33_357
| spl33_903
| ~ spl33_143
| ~ spl33_260 ),
inference(avatar_split_clause,[],[f2746,f2742,f1442,f16651,f4000,f528]) ).
fof(f4000,plain,
( spl33_357
<=> isCountable0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_357])]) ).
fof(f16651,plain,
( spl33_903
<=> isCountable0(sdtlbdtrb0(xc,szDzizrdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_903])]) ).
fof(f1442,plain,
( spl33_143
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_143])]) ).
fof(f2742,plain,
( spl33_260
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_260])]) ).
fof(f2746,plain,
( isCountable0(sdtlbdtrb0(xc,szDzizrdt0(xc)))
| ~ isCountable0(szDzozmdt0(xc))
| ~ aFunction0(xc)
| ~ spl33_143
| ~ spl33_260 ),
inference(resolution,[],[f2744,f1443]) ).
fof(f1443,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_143 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f2744,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl33_260 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f16585,plain,
( ~ spl33_16
| spl33_857
| spl33_902
| ~ spl33_96
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f2512,f2509,f1054,f16582,f15699,f604]) ).
fof(f604,plain,
( spl33_16
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f16582,plain,
( spl33_902
<=> aElementOf0(szmzizndt0(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_902])]) ).
fof(f1054,plain,
( spl33_96
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_96])]) ).
fof(f2512,plain,
( aElementOf0(szmzizndt0(xS),szNzAzT0)
| slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl33_96
| ~ spl33_243 ),
inference(resolution,[],[f2510,f1055]) ).
fof(f1055,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_96 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f16538,plain,
( spl33_901
| ~ spl33_18
| ~ spl33_472 ),
inference(avatar_split_clause,[],[f6181,f6174,f614,f16536]) ).
fof(f16536,plain,
( spl33_901
<=> ! [X0] :
( sP5(sK15(X0,slcrc0,szNzAzT0))
| sP2(X0,slcrc0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_901])]) ).
fof(f6174,plain,
( spl33_472
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP5(sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_472])]) ).
fof(f6181,plain,
( ! [X0] :
( sP5(sK15(X0,slcrc0,szNzAzT0))
| sP2(X0,slcrc0,szNzAzT0) )
| ~ spl33_18
| ~ spl33_472 ),
inference(resolution,[],[f6175,f615]) ).
fof(f6175,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP5(sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) )
| ~ spl33_472 ),
inference(avatar_component_clause,[],[f6174]) ).
fof(f16528,plain,
( ~ spl33_899
| spl33_900
| ~ spl33_51
| ~ spl33_463 ),
inference(avatar_split_clause,[],[f6063,f6047,f782,f16525,f16521]) ).
fof(f16521,plain,
( spl33_899
<=> aElementOf0(sK21(szmzizndt0(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_899])]) ).
fof(f16525,plain,
( spl33_900
<=> aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_900])]) ).
fof(f6047,plain,
( spl33_463
<=> szmzizndt0(szNzAzT0) = szszuzczcdt0(sK21(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_463])]) ).
fof(f6063,plain,
( aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ~ aElementOf0(sK21(szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ spl33_51
| ~ spl33_463 ),
inference(superposition,[],[f783,f6049]) ).
fof(f6049,plain,
( szmzizndt0(szNzAzT0) = szszuzczcdt0(sK21(szmzizndt0(szNzAzT0)))
| ~ spl33_463 ),
inference(avatar_component_clause,[],[f6047]) ).
fof(f16519,plain,
( spl33_898
| ~ spl33_846
| ~ spl33_338
| ~ spl33_835 ),
inference(avatar_split_clause,[],[f15523,f15391,f3679,f15572,f16516]) ).
fof(f15572,plain,
( spl33_846
<=> aSet0(sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_846])]) ).
fof(f3679,plain,
( spl33_338
<=> ! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_338])]) ).
fof(f15523,plain,
( ~ aSet0(sK26(szDzozmdt0(xc)))
| aSubsetOf0(sK26(szDzozmdt0(xc)),szNzAzT0)
| ~ spl33_338
| ~ spl33_835 ),
inference(resolution,[],[f15393,f3680]) ).
fof(f3680,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_338 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f16488,plain,
( spl33_897
| ~ spl33_17
| ~ spl33_175
| ~ spl33_453 ),
inference(avatar_split_clause,[],[f5458,f5454,f1797,f609,f16485]) ).
fof(f16485,plain,
( spl33_897
<=> sz00 = sbrdtbr0(sK30(slcrc0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_897])]) ).
fof(f1797,plain,
( spl33_175
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_175])]) ).
fof(f5454,plain,
( spl33_453
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK30(slcrc0,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_453])]) ).
fof(f5458,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| sz00 = sbrdtbr0(sK30(slcrc0,sz00))
| ~ spl33_175
| ~ spl33_453 ),
inference(resolution,[],[f5455,f1799]) ).
fof(f1799,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl33_175 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f5455,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK30(slcrc0,X0)) = X0 )
| ~ spl33_453 ),
inference(avatar_component_clause,[],[f5454]) ).
fof(f16477,plain,
( ~ spl33_895
| spl33_896
| ~ spl33_51
| ~ spl33_437 ),
inference(avatar_split_clause,[],[f5306,f5294,f782,f16474,f16470]) ).
fof(f16470,plain,
( spl33_895
<=> aElementOf0(sK21(sK26(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_895])]) ).
fof(f16474,plain,
( spl33_896
<=> aElementOf0(sK26(szNzAzT0),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_896])]) ).
fof(f5294,plain,
( spl33_437
<=> sK26(szNzAzT0) = szszuzczcdt0(sK21(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_437])]) ).
fof(f5306,plain,
( aElementOf0(sK26(szNzAzT0),szNzAzT0)
| ~ aElementOf0(sK21(sK26(szNzAzT0)),szNzAzT0)
| ~ spl33_51
| ~ spl33_437 ),
inference(superposition,[],[f783,f5296]) ).
fof(f5296,plain,
( sK26(szNzAzT0) = szszuzczcdt0(sK21(sK26(szNzAzT0)))
| ~ spl33_437 ),
inference(avatar_component_clause,[],[f5294]) ).
fof(f16468,plain,
( ~ spl33_9
| spl33_894
| ~ spl33_18
| ~ spl33_396 ),
inference(avatar_split_clause,[],[f4618,f4474,f614,f16466,f568]) ).
fof(f16466,plain,
( spl33_894
<=> ! [X0] :
( sP4(X0,slcrc0)
| sP5(sK22(X0,slcrc0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_894])]) ).
fof(f4474,plain,
( spl33_396
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sP5(sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_396])]) ).
fof(f4618,plain,
( ! [X0] :
( sP4(X0,slcrc0)
| ~ aSet0(slcrc0)
| sP5(sK22(X0,slcrc0)) )
| ~ spl33_18
| ~ spl33_396 ),
inference(resolution,[],[f4475,f615]) ).
fof(f4475,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sP5(sK22(X0,X1)) )
| ~ spl33_396 ),
inference(avatar_component_clause,[],[f4474]) ).
fof(f16464,plain,
( spl33_893
| ~ spl33_17
| ~ spl33_386 ),
inference(avatar_split_clause,[],[f4378,f4375,f609,f16461]) ).
fof(f16461,plain,
( spl33_893
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_893])]) ).
fof(f4375,plain,
( spl33_386
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_386])]) ).
fof(f4378,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ spl33_17
| ~ spl33_386 ),
inference(resolution,[],[f4376,f611]) ).
fof(f4376,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0)) )
| ~ spl33_386 ),
inference(avatar_component_clause,[],[f4375]) ).
fof(f16452,plain,
( ~ spl33_175
| ~ spl33_17
| spl33_892
| ~ spl33_21
| ~ spl33_373 ),
inference(avatar_split_clause,[],[f4151,f4143,f628,f16449,f609,f1797]) ).
fof(f16449,plain,
( spl33_892
<=> aSubsetOf0(slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_892])]) ).
fof(f628,plain,
( spl33_21
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f4143,plain,
( spl33_373
<=> ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_373])]) ).
fof(f4151,plain,
( aSubsetOf0(slcrc0,slcrc0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ spl33_21
| ~ spl33_373 ),
inference(superposition,[],[f4144,f630]) ).
fof(f630,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl33_21 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f4144,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl33_373 ),
inference(avatar_component_clause,[],[f4143]) ).
fof(f16440,plain,
( ~ spl33_890
| spl33_891
| ~ spl33_328
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f4099,f4082,f3449,f16437,f16433]) ).
fof(f16433,plain,
( spl33_890
<=> aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_890])]) ).
fof(f16437,plain,
( spl33_891
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_891])]) ).
fof(f4082,plain,
( spl33_367
<=> szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_367])]) ).
fof(f4099,plain,
( sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| ~ aSubsetOf0(slbdtrb0(szmzizndt0(szNzAzT0)),slcrc0)
| ~ spl33_328
| ~ spl33_367 ),
inference(superposition,[],[f3450,f4084]) ).
fof(f4084,plain,
( szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl33_367 ),
inference(avatar_component_clause,[],[f4082]) ).
fof(f16431,plain,
( spl33_889
| ~ spl33_28
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3788,f3779,f659,f16429]) ).
fof(f16429,plain,
( spl33_889
<=> ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| sP5(sK16(X0,szNzAzT0,slcrc0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_889])]) ).
fof(f659,plain,
( spl33_28
<=> ! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f3788,plain,
( ! [X0] :
( sP2(X0,szNzAzT0,slcrc0)
| sP5(sK16(X0,szNzAzT0,slcrc0)) )
| ~ spl33_28
| ~ spl33_351 ),
inference(resolution,[],[f3780,f660]) ).
fof(f660,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(X0) )
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f16424,plain,
( ~ spl33_887
| spl33_888
| ~ spl33_328
| ~ spl33_342 ),
inference(avatar_split_clause,[],[f3745,f3723,f3449,f16421,f16417]) ).
fof(f16417,plain,
( spl33_887
<=> aSubsetOf0(slbdtrb0(sK26(szNzAzT0)),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_887])]) ).
fof(f16421,plain,
( spl33_888
<=> sdtlseqdt0(sK26(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_888])]) ).
fof(f3723,plain,
( spl33_342
<=> sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_342])]) ).
fof(f3745,plain,
( sdtlseqdt0(sK26(szNzAzT0),sz00)
| ~ aSubsetOf0(slbdtrb0(sK26(szNzAzT0)),slcrc0)
| ~ spl33_328
| ~ spl33_342 ),
inference(superposition,[],[f3450,f3725]) ).
fof(f3725,plain,
( sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_342 ),
inference(avatar_component_clause,[],[f3723]) ).
fof(f16415,plain,
( spl33_886
| ~ spl33_28
| ~ spl33_309 ),
inference(avatar_split_clause,[],[f3292,f3161,f659,f16413]) ).
fof(f16413,plain,
( spl33_886
<=> ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| sP5(sK28(X0,szNzAzT0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_886])]) ).
fof(f3292,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,szNzAzT0)
| sP5(sK28(X0,szNzAzT0,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_309 ),
inference(resolution,[],[f3162,f660]) ).
fof(f16411,plain,
( spl33_885
| ~ spl33_28
| ~ spl33_307 ),
inference(avatar_split_clause,[],[f3265,f3152,f659,f16409]) ).
fof(f16409,plain,
( spl33_885
<=> ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| sP5(sK28(X0,slcrc0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_885])]) ).
fof(f3265,plain,
( ! [X0] :
( sP8(X0,slcrc0,szNzAzT0)
| sP5(sK28(X0,slcrc0,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_307 ),
inference(resolution,[],[f3153,f660]) ).
fof(f16384,plain,
( ~ spl33_884
| spl33_218
| ~ spl33_328
| ~ spl33_873 ),
inference(avatar_split_clause,[],[f16223,f16123,f3449,f2313,f16381]) ).
fof(f16123,plain,
( spl33_873
<=> xK = sbrdtbr0(sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_873])]) ).
fof(f16223,plain,
( sdtlseqdt0(xK,sz00)
| ~ aSubsetOf0(sK26(szDzozmdt0(xc)),slcrc0)
| ~ spl33_328
| ~ spl33_873 ),
inference(superposition,[],[f3450,f16125]) ).
fof(f16125,plain,
( xK = sbrdtbr0(sK26(szDzozmdt0(xc)))
| ~ spl33_873 ),
inference(avatar_component_clause,[],[f16123]) ).
fof(f16273,plain,
( spl33_883
| ~ spl33_857
| ~ spl33_882 ),
inference(avatar_split_clause,[],[f16269,f16265,f15699,f16271]) ).
fof(f16271,plain,
( spl33_883
<=> ! [X0] :
( sP5(sK28(X0,szNzAzT0,xS))
| sP8(X0,szNzAzT0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_883])]) ).
fof(f16265,plain,
( spl33_882
<=> ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| sP5(sK28(X0,szNzAzT0,slcrc0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_882])]) ).
fof(f16269,plain,
( ! [X0] :
( sP5(sK28(X0,szNzAzT0,xS))
| sP8(X0,szNzAzT0,xS) )
| ~ spl33_857
| ~ spl33_882 ),
inference(forward_demodulation,[],[f16268,f15701]) ).
fof(f16268,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,xS)
| sP5(sK28(X0,szNzAzT0,slcrc0)) )
| ~ spl33_857
| ~ spl33_882 ),
inference(forward_demodulation,[],[f16266,f15701]) ).
fof(f16266,plain,
( ! [X0] :
( sP5(sK28(X0,szNzAzT0,slcrc0))
| sP8(X0,szNzAzT0,slcrc0) )
| ~ spl33_882 ),
inference(avatar_component_clause,[],[f16265]) ).
fof(f16267,plain,
( spl33_882
| ~ spl33_28
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3243,f3148,f659,f16265]) ).
fof(f3243,plain,
( ! [X0] :
( sP8(X0,szNzAzT0,slcrc0)
| sP5(sK28(X0,szNzAzT0,slcrc0)) )
| ~ spl33_28
| ~ spl33_306 ),
inference(resolution,[],[f3149,f660]) ).
fof(f16255,plain,
( ~ spl33_7
| spl33_881
| ~ spl33_45
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3146,f3131,f758,f16253,f558]) ).
fof(f16253,plain,
( spl33_881
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| aElement0(sK22(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_881])]) ).
fof(f3146,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| aElement0(sK22(X0,szNzAzT0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_305 ),
inference(resolution,[],[f3132,f759]) ).
fof(f16251,plain,
( spl33_880
| ~ spl33_73
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2642,f2631,f922,f16249]) ).
fof(f16249,plain,
( spl33_880
<=> ! [X0] :
( aElement0(szszuzczcdt0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_880])]) ).
fof(f922,plain,
( spl33_73
<=> ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_73])]) ).
fof(f2642,plain,
( ! [X0] :
( aElement0(szszuzczcdt0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_73
| ~ spl33_250 ),
inference(resolution,[],[f2632,f923]) ).
fof(f923,plain,
( ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_73 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f16247,plain,
( spl33_879
| ~ spl33_73
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2341,f2330,f922,f16245]) ).
fof(f16245,plain,
( spl33_879
<=> ! [X0] :
( sP5(szszuzczcdt0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_879])]) ).
fof(f2341,plain,
( ! [X0] :
( sP5(szszuzczcdt0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_73
| ~ spl33_221 ),
inference(resolution,[],[f2331,f923]) ).
fof(f16185,plain,
( spl33_878
| ~ spl33_13
| ~ spl33_386 ),
inference(avatar_split_clause,[],[f4383,f4375,f589,f16182]) ).
fof(f16182,plain,
( spl33_878
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xi)),szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_878])]) ).
fof(f4383,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xi)),szszuzczcdt0(xi))
| ~ spl33_13
| ~ spl33_386 ),
inference(resolution,[],[f4376,f591]) ).
fof(f16180,plain,
( spl33_877
| ~ spl33_14
| ~ spl33_386 ),
inference(avatar_split_clause,[],[f4381,f4375,f594,f16177]) ).
fof(f16177,plain,
( spl33_877
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xK)),szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_877])]) ).
fof(f4381,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xK)),szszuzczcdt0(xK))
| ~ spl33_14
| ~ spl33_386 ),
inference(resolution,[],[f4376,f596]) ).
fof(f16167,plain,
( ~ spl33_175
| ~ spl33_17
| spl33_876
| ~ spl33_23
| ~ spl33_379 ),
inference(avatar_split_clause,[],[f4341,f4333,f638,f16164,f609,f1797]) ).
fof(f16164,plain,
( spl33_876
<=> aSubsetOf0(xS,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_876])]) ).
fof(f4333,plain,
( spl33_379
<=> ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_379])]) ).
fof(f4341,plain,
( aSubsetOf0(xS,xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ spl33_23
| ~ spl33_379 ),
inference(superposition,[],[f4334,f640]) ).
fof(f4334,plain,
( ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) )
| ~ spl33_379 ),
inference(avatar_component_clause,[],[f4333]) ).
fof(f16162,plain,
( spl33_875
| ~ spl33_28
| ~ spl33_339 ),
inference(avatar_split_clause,[],[f3693,f3690,f659,f16160]) ).
fof(f16160,plain,
( spl33_875
<=> ! [X0] :
( sP0(xN,X0,szNzAzT0)
| sP5(sK14(xN,X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_875])]) ).
fof(f3693,plain,
( ! [X0] :
( sP0(xN,X0,szNzAzT0)
| sP5(sK14(xN,X0,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_339 ),
inference(resolution,[],[f3691,f660]) ).
fof(f16158,plain,
( spl33_874
| ~ spl33_42
| ~ spl33_334 ),
inference(avatar_split_clause,[],[f3623,f3620,f726,f16156]) ).
fof(f16156,plain,
( spl33_874
<=> ! [X0] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,slbdtrb0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_874])]) ).
fof(f726,plain,
( spl33_42
<=> ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_42])]) ).
fof(f3620,plain,
( spl33_334
<=> ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| ~ sP4(X0,X1)
| aElementOf0(xk,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_334])]) ).
fof(f3623,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,slbdtrb0(X0))
| ~ sP5(X0) )
| ~ spl33_42
| ~ spl33_334 ),
inference(resolution,[],[f3621,f727]) ).
fof(f727,plain,
( ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) )
| ~ spl33_42 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f3621,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1) )
| ~ spl33_334 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f16126,plain,
( spl33_873
| ~ spl33_430
| ~ spl33_851 ),
inference(avatar_split_clause,[],[f15730,f15663,f5106,f16123]) ).
fof(f5106,plain,
( spl33_430
<=> aElementOf0(sK26(szDzozmdt0(xc)),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_430])]) ).
fof(f15663,plain,
( spl33_851
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_851])]) ).
fof(f15730,plain,
( xK = sbrdtbr0(sK26(szDzozmdt0(xc)))
| ~ spl33_430
| ~ spl33_851 ),
inference(resolution,[],[f15664,f5108]) ).
fof(f5108,plain,
( aElementOf0(sK26(szDzozmdt0(xc)),szDzozmdt0(xc))
| ~ spl33_430 ),
inference(avatar_component_clause,[],[f5106]) ).
fof(f15664,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK )
| ~ spl33_851 ),
inference(avatar_component_clause,[],[f15663]) ).
fof(f16121,plain,
( ~ spl33_3
| spl33_872
| ~ spl33_4
| ~ spl33_316 ),
inference(avatar_split_clause,[],[f3504,f3360,f543,f16118,f538]) ).
fof(f16118,plain,
( spl33_872
<=> sbrdtbr0(xT) = sbrdtbr0(slbdtrb0(sbrdtbr0(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_872])]) ).
fof(f3360,plain,
( spl33_316
<=> ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_316])]) ).
fof(f3504,plain,
( sbrdtbr0(xT) = sbrdtbr0(slbdtrb0(sbrdtbr0(xT)))
| ~ aSet0(xT)
| ~ spl33_4
| ~ spl33_316 ),
inference(resolution,[],[f3361,f545]) ).
fof(f3361,plain,
( ! [X0] :
( ~ isFinite0(X0)
| sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ aSet0(X0) )
| ~ spl33_316 ),
inference(avatar_component_clause,[],[f3360]) ).
fof(f16067,plain,
( ~ spl33_184
| spl33_857
| spl33_871
| ~ spl33_74
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f2516,f2509,f926,f16064,f15699,f2027]) ).
fof(f16064,plain,
( spl33_871
<=> aElementOf0(sK26(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_871])]) ).
fof(f926,plain,
( spl33_74
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f2516,plain,
( aElementOf0(sK26(xS),szNzAzT0)
| slcrc0 = xS
| ~ aSet0(xS)
| ~ spl33_74
| ~ spl33_243 ),
inference(resolution,[],[f2510,f927]) ).
fof(f927,plain,
( ! [X0] :
( aElementOf0(sK26(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl33_74 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f15881,plain,
( spl33_870
| ~ spl33_18
| ~ spl33_391 ),
inference(avatar_split_clause,[],[f4582,f4439,f614,f15879]) ).
fof(f15879,plain,
( spl33_870
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,slcrc0))
| ~ sP3(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_870])]) ).
fof(f4439,plain,
( spl33_391
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK17(X1,X2,X0),X2)
| ~ sP3(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_391])]) ).
fof(f4582,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,slcrc0))
| ~ sP3(slcrc0,X1) )
| ~ spl33_18
| ~ spl33_391 ),
inference(resolution,[],[f4440,f615]) ).
fof(f4440,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK17(X1,X2,X0),X2)
| ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| ~ sP3(X2,X1) )
| ~ spl33_391 ),
inference(avatar_component_clause,[],[f4439]) ).
fof(f15877,plain,
( spl33_869
| ~ spl33_250
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3142,f3131,f2631,f15875]) ).
fof(f15875,plain,
( spl33_869
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| aElement0(szszuzczcdt0(sK22(X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_869])]) ).
fof(f3142,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| aElement0(szszuzczcdt0(sK22(X0,szNzAzT0))) )
| ~ spl33_250
| ~ spl33_305 ),
inference(resolution,[],[f3132,f2632]) ).
fof(f15873,plain,
( spl33_868
| ~ spl33_221
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3141,f3131,f2330,f15871]) ).
fof(f15871,plain,
( spl33_868
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| sP5(szszuzczcdt0(sK22(X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_868])]) ).
fof(f3141,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| sP5(szszuzczcdt0(sK22(X0,szNzAzT0))) )
| ~ spl33_221
| ~ spl33_305 ),
inference(resolution,[],[f3132,f2331]) ).
fof(f15869,plain,
( spl33_867
| ~ spl33_36
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3137,f3131,f699,f15867]) ).
fof(f15867,plain,
( spl33_867
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK22(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_867])]) ).
fof(f3137,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK22(X0,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_305 ),
inference(resolution,[],[f3132,f700]) ).
fof(f15865,plain,
( spl33_866
| ~ spl33_34
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3135,f3131,f691,f15863]) ).
fof(f15863,plain,
( spl33_866
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK22(X0,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_866])]) ).
fof(f3135,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK22(X0,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_305 ),
inference(resolution,[],[f3132,f692]) ).
fof(f15861,plain,
( spl33_865
| ~ spl33_214
| ~ spl33_269 ),
inference(avatar_split_clause,[],[f2957,f2806,f2290,f15859]) ).
fof(f15859,plain,
( spl33_865
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP5(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_865])]) ).
fof(f2806,plain,
( spl33_269
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_269])]) ).
fof(f2957,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP5(szszuzczcdt0(X0)) )
| ~ spl33_214
| ~ spl33_269 ),
inference(resolution,[],[f2807,f2291]) ).
fof(f2807,plain,
( ! [X0] :
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_269 ),
inference(avatar_component_clause,[],[f2806]) ).
fof(f15853,plain,
( spl33_864
| ~ spl33_59
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2636,f2631,f837,f15851]) ).
fof(f15851,plain,
( spl33_864
<=> ! [X0] :
( aElement0(szszuzczcdt0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_864])]) ).
fof(f2636,plain,
( ! [X0] :
( aElement0(szszuzczcdt0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_250 ),
inference(resolution,[],[f2632,f838]) ).
fof(f15849,plain,
( spl33_863
| ~ spl33_67
| ~ spl33_235 ),
inference(avatar_split_clause,[],[f2440,f2428,f898,f15847]) ).
fof(f15847,plain,
( spl33_863
<=> ! [X0] :
( ~ aSet0(szDzozmdt0(X0))
| sP1(slcrc0,X0)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_863])]) ).
fof(f898,plain,
( spl33_67
<=> ! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f2440,plain,
( ! [X0] :
( ~ aSet0(szDzozmdt0(X0))
| sP1(slcrc0,X0)
| ~ aFunction0(X0) )
| ~ spl33_67
| ~ spl33_235 ),
inference(resolution,[],[f2429,f899]) ).
fof(f899,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP1(X1,X0)
| ~ aFunction0(X0) )
| ~ spl33_67 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f15845,plain,
( spl33_862
| ~ spl33_68
| ~ spl33_235 ),
inference(avatar_split_clause,[],[f2439,f2428,f902,f15843]) ).
fof(f15843,plain,
( spl33_862
<=> ! [X0] :
( ~ aSet0(szDzozmdt0(X0))
| sP3(slcrc0,X0)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_862])]) ).
fof(f902,plain,
( spl33_68
<=> ! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
fof(f2439,plain,
( ! [X0] :
( ~ aSet0(szDzozmdt0(X0))
| sP3(slcrc0,X0)
| ~ aFunction0(X0) )
| ~ spl33_68
| ~ spl33_235 ),
inference(resolution,[],[f2429,f903]) ).
fof(f903,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP3(X1,X0)
| ~ aFunction0(X0) )
| ~ spl33_68 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f15841,plain,
( spl33_861
| ~ spl33_59
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2335,f2330,f837,f15839]) ).
fof(f15839,plain,
( spl33_861
<=> ! [X0] :
( sP5(szszuzczcdt0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_861])]) ).
fof(f2335,plain,
( ! [X0] :
( sP5(szszuzczcdt0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_221 ),
inference(resolution,[],[f2331,f838]) ).
fof(f15722,plain,
( ~ spl33_812
| ~ spl33_860
| ~ spl33_37
| ~ spl33_620 ),
inference(avatar_split_clause,[],[f9847,f9825,f703,f15719,f15098]) ).
fof(f15098,plain,
( spl33_812
<=> aSet0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_812])]) ).
fof(f15719,plain,
( spl33_860
<=> isFinite0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_860])]) ).
fof(f9847,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xk))
| ~ aSet0(sdtlpdtrp0(xN,xk))
| ~ spl33_37
| ~ spl33_620 ),
inference(resolution,[],[f9826,f704]) ).
fof(f9826,plain,
( isCountable0(sdtlpdtrp0(xN,xk))
| ~ spl33_620 ),
inference(avatar_component_clause,[],[f9825]) ).
fof(f15717,plain,
( spl33_858
| spl33_859
| ~ spl33_335
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11009,f10262,f3626,f15714,f15710]) ).
fof(f11009,plain,
( sdtlseqdt0(xK,szszuzczcdt0(sz00))
| sdtlseqdt0(szszuzczcdt0(sz00),xk)
| ~ spl33_335
| ~ spl33_654 ),
inference(resolution,[],[f10263,f3627]) ).
fof(f15702,plain,
( ~ spl33_184
| spl33_856
| spl33_857
| ~ spl33_16
| ~ spl33_324 ),
inference(avatar_split_clause,[],[f3549,f3428,f604,f15699,f15695,f2027]) ).
fof(f15695,plain,
( spl33_856
<=> aElement0(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_856])]) ).
fof(f3428,plain,
( spl33_324
<=> ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_324])]) ).
fof(f3549,plain,
( slcrc0 = xS
| aElement0(szmzizndt0(xS))
| ~ aSet0(xS)
| ~ spl33_16
| ~ spl33_324 ),
inference(resolution,[],[f3429,f606]) ).
fof(f606,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f3429,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) )
| ~ spl33_324 ),
inference(avatar_component_clause,[],[f3428]) ).
fof(f15690,plain,
( ~ spl33_854
| spl33_855
| ~ spl33_79
| ~ spl33_292 ),
inference(avatar_split_clause,[],[f3058,f3055,f946,f15687,f15683]) ).
fof(f15683,plain,
( spl33_854
<=> sP7(xN,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_854])]) ).
fof(f15687,plain,
( spl33_855
<=> aElementOf0(sz00,sdtlbdtrb0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_855])]) ).
fof(f946,plain,
( spl33_79
<=> ! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_79])]) ).
fof(f3058,plain,
( aElementOf0(sz00,sdtlbdtrb0(xN,xS))
| ~ sP7(xN,xS)
| ~ spl33_79
| ~ spl33_292 ),
inference(resolution,[],[f3056,f947]) ).
fof(f947,plain,
( ! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl33_79 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f15680,plain,
( ~ spl33_7
| spl33_853
| ~ spl33_46
| ~ spl33_262 ),
inference(avatar_split_clause,[],[f2764,f2754,f762,f15678,f558]) ).
fof(f15678,plain,
( spl33_853
<=> ! [X0] :
( ~ aElement0(X0)
| aSet0(sdtlbdtrb0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_853])]) ).
fof(f2764,plain,
( ! [X0] :
( ~ aElement0(X0)
| aSet0(sdtlbdtrb0(xN,X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_46
| ~ spl33_262 ),
inference(resolution,[],[f2755,f763]) ).
fof(f15670,plain,
( ~ spl33_1
| ~ spl33_357
| spl33_852
| ~ spl33_125
| ~ spl33_260 ),
inference(avatar_split_clause,[],[f2747,f2742,f1294,f15667,f4000,f528]) ).
fof(f15667,plain,
( spl33_852
<=> aElement0(szDzizrdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_852])]) ).
fof(f1294,plain,
( spl33_125
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_125])]) ).
fof(f2747,plain,
( aElement0(szDzizrdt0(xc))
| ~ isCountable0(szDzozmdt0(xc))
| ~ aFunction0(xc)
| ~ spl33_125
| ~ spl33_260 ),
inference(resolution,[],[f2744,f1295]) ).
fof(f1295,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_125 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f15665,plain,
( spl33_851
| ~ spl33_105
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f2572,f2503,f1129,f15663]) ).
fof(f1129,plain,
( spl33_105
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_105])]) ).
fof(f2572,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK )
| ~ spl33_105
| ~ spl33_242 ),
inference(resolution,[],[f2505,f1130]) ).
fof(f1130,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 )
| ~ spl33_105 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f2505,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ spl33_242 ),
inference(avatar_component_clause,[],[f2503]) ).
fof(f15657,plain,
( ~ spl33_849
| spl33_850
| ~ spl33_49
| ~ spl33_244 ),
inference(avatar_split_clause,[],[f2542,f2536,f774,f15654,f15650]) ).
fof(f15650,plain,
( spl33_849
<=> aElementOf0(sK21(xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_849])]) ).
fof(f15654,plain,
( spl33_850
<=> iLess0(sK21(xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_850])]) ).
fof(f774,plain,
( spl33_49
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_49])]) ).
fof(f2536,plain,
( spl33_244
<=> xK = szszuzczcdt0(sK21(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_244])]) ).
fof(f2542,plain,
( iLess0(sK21(xK),xK)
| ~ aElementOf0(sK21(xK),szNzAzT0)
| ~ spl33_49
| ~ spl33_244 ),
inference(superposition,[],[f775,f2538]) ).
fof(f2538,plain,
( xK = szszuzczcdt0(sK21(xK))
| ~ spl33_244 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f775,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_49 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f15648,plain,
( spl33_848
| ~ spl33_56
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f2493,f2488,f822,f15646]) ).
fof(f15646,plain,
( spl33_848
<=> ! [X0] :
( sP3(sdtlpdtrp0(xN,X0),xN)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_848])]) ).
fof(f2493,plain,
( ! [X0] :
( sP3(sdtlpdtrp0(xN,X0),xN)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_240 ),
inference(resolution,[],[f2489,f823]) ).
fof(f15644,plain,
( spl33_847
| ~ spl33_56
| ~ spl33_238 ),
inference(avatar_split_clause,[],[f2477,f2472,f822,f15642]) ).
fof(f15642,plain,
( spl33_847
<=> ! [X0] :
( sP1(sdtlpdtrp0(xN,X0),xN)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_847])]) ).
fof(f2477,plain,
( ! [X0] :
( sP1(sdtlpdtrp0(xN,X0),xN)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_238 ),
inference(resolution,[],[f2473,f823]) ).
fof(f15575,plain,
( ~ spl33_184
| spl33_846
| ~ spl33_46
| ~ spl33_835 ),
inference(avatar_split_clause,[],[f15528,f15391,f762,f15572,f2027]) ).
fof(f15528,plain,
( aSet0(sK26(szDzozmdt0(xc)))
| ~ aSet0(xS)
| ~ spl33_46
| ~ spl33_835 ),
inference(resolution,[],[f15393,f763]) ).
fof(f15564,plain,
( spl33_845
| ~ spl33_206
| ~ spl33_376 ),
inference(avatar_split_clause,[],[f4173,f4170,f2229,f15561]) ).
fof(f15561,plain,
( spl33_845
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_845])]) ).
fof(f4173,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sz00))
| ~ spl33_206
| ~ spl33_376 ),
inference(resolution,[],[f4171,f2231]) ).
fof(f2231,plain,
( aElement0(sz00)
| ~ spl33_206 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f15558,plain,
( ~ spl33_843
| spl33_844
| ~ spl33_25
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f4086,f4082,f647,f15555,f15551]) ).
fof(f15551,plain,
( spl33_843
<=> aSet0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_843])]) ).
fof(f15555,plain,
( spl33_844
<=> aElement0(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_844])]) ).
fof(f4086,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl33_25
| ~ spl33_367 ),
inference(superposition,[],[f648,f4084]) ).
fof(f15547,plain,
( ~ spl33_841
| spl33_842
| ~ spl33_25
| ~ spl33_342 ),
inference(avatar_split_clause,[],[f3732,f3723,f647,f15544,f15540]) ).
fof(f15540,plain,
( spl33_841
<=> aSet0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_841])]) ).
fof(f15544,plain,
( spl33_842
<=> aElement0(sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_842])]) ).
fof(f3732,plain,
( aElement0(sK26(szNzAzT0))
| ~ aSet0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_25
| ~ spl33_342 ),
inference(superposition,[],[f648,f3725]) ).
fof(f15538,plain,
( spl33_840
| ~ spl33_206
| ~ spl33_331 ),
inference(avatar_split_clause,[],[f3471,f3468,f2229,f15535]) ).
fof(f15535,plain,
( spl33_840
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_840])]) ).
fof(f3471,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sz00),sz00)
| ~ spl33_206
| ~ spl33_331 ),
inference(resolution,[],[f3469,f2231]) ).
fof(f15533,plain,
( spl33_839
| ~ spl33_17
| ~ spl33_294 ),
inference(avatar_split_clause,[],[f3164,f3069,f609,f15530]) ).
fof(f15530,plain,
( spl33_839
<=> szszuzczcdt0(sz00) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_839])]) ).
fof(f3164,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ spl33_17
| ~ spl33_294 ),
inference(resolution,[],[f3070,f611]) ).
fof(f15522,plain,
( spl33_838
| ~ spl33_28
| ~ spl33_305 ),
inference(avatar_split_clause,[],[f3134,f3131,f659,f15520]) ).
fof(f15520,plain,
( spl33_838
<=> ! [X0] :
( sP4(X0,szNzAzT0)
| sP5(sK22(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_838])]) ).
fof(f3134,plain,
( ! [X0] :
( sP4(X0,szNzAzT0)
| sP5(sK22(X0,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_305 ),
inference(resolution,[],[f3132,f660]) ).
fof(f15518,plain,
( spl33_837
| ~ spl33_51
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2635,f2631,f782,f15516]) ).
fof(f15516,plain,
( spl33_837
<=> ! [X0] :
( aElement0(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_837])]) ).
fof(f2635,plain,
( ! [X0] :
( aElement0(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_250 ),
inference(resolution,[],[f2632,f783]) ).
fof(f15514,plain,
( spl33_836
| ~ spl33_51
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2334,f2330,f782,f15512]) ).
fof(f15512,plain,
( spl33_836
<=> ! [X0] :
( sP5(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_836])]) ).
fof(f2334,plain,
( ! [X0] :
( sP5(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_221 ),
inference(resolution,[],[f2331,f783]) ).
fof(f15394,plain,
( spl33_835
| ~ spl33_430
| ~ spl33_814 ),
inference(avatar_split_clause,[],[f15257,f15109,f5106,f15391]) ).
fof(f15109,plain,
( spl33_814
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_814])]) ).
fof(f15257,plain,
( aSubsetOf0(sK26(szDzozmdt0(xc)),xS)
| ~ spl33_430
| ~ spl33_814 ),
inference(resolution,[],[f15110,f5108]) ).
fof(f15110,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) )
| ~ spl33_814 ),
inference(avatar_component_clause,[],[f15109]) ).
fof(f15253,plain,
( spl33_834
| ~ spl33_205
| ~ spl33_376 ),
inference(avatar_split_clause,[],[f4181,f4170,f2223,f15250]) ).
fof(f15250,plain,
( spl33_834
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_834])]) ).
fof(f4181,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,xi))
| ~ spl33_205
| ~ spl33_376 ),
inference(resolution,[],[f4171,f2225]) ).
fof(f2225,plain,
( aElement0(xi)
| ~ spl33_205 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f15248,plain,
( spl33_833
| ~ spl33_204
| ~ spl33_376 ),
inference(avatar_split_clause,[],[f4180,f4170,f2218,f15245]) ).
fof(f15245,plain,
( spl33_833
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_833])]) ).
fof(f4180,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,xk))
| ~ spl33_204
| ~ spl33_376 ),
inference(resolution,[],[f4171,f2220]) ).
fof(f2220,plain,
( aElement0(xk)
| ~ spl33_204 ),
inference(avatar_component_clause,[],[f2218]) ).
fof(f15243,plain,
( spl33_832
| ~ spl33_201
| ~ spl33_376 ),
inference(avatar_split_clause,[],[f4179,f4170,f2202,f15240]) ).
fof(f15240,plain,
( spl33_832
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_832])]) ).
fof(f4179,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,xK))
| ~ spl33_201
| ~ spl33_376 ),
inference(resolution,[],[f4171,f2204]) ).
fof(f2204,plain,
( aElement0(xK)
| ~ spl33_201 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f15216,plain,
( ~ spl33_184
| spl33_831
| ~ spl33_9
| ~ spl33_235
| ~ spl33_338 ),
inference(avatar_split_clause,[],[f3683,f3679,f2428,f568,f15213,f2027]) ).
fof(f15213,plain,
( spl33_831
<=> aSubsetOf0(slcrc0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_831])]) ).
fof(f3683,plain,
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,szNzAzT0)
| ~ aSet0(xS)
| ~ spl33_235
| ~ spl33_338 ),
inference(resolution,[],[f3680,f2429]) ).
fof(f15211,plain,
( spl33_830
| ~ spl33_205
| ~ spl33_331 ),
inference(avatar_split_clause,[],[f3478,f3468,f2223,f15208]) ).
fof(f15208,plain,
( spl33_830
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xi),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_830])]) ).
fof(f3478,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xi),xi)
| ~ spl33_205
| ~ spl33_331 ),
inference(resolution,[],[f3469,f2225]) ).
fof(f15200,plain,
( spl33_829
| ~ spl33_204
| ~ spl33_331 ),
inference(avatar_split_clause,[],[f3477,f3468,f2218,f15197]) ).
fof(f15197,plain,
( spl33_829
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_829])]) ).
fof(f3477,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xk),xk)
| ~ spl33_204
| ~ spl33_331 ),
inference(resolution,[],[f3469,f2220]) ).
fof(f15195,plain,
( spl33_828
| ~ spl33_201
| ~ spl33_331 ),
inference(avatar_split_clause,[],[f3476,f3468,f2202,f15192]) ).
fof(f15192,plain,
( spl33_828
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_828])]) ).
fof(f3476,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,xK),xK)
| ~ spl33_201
| ~ spl33_331 ),
inference(resolution,[],[f3469,f2204]) ).
fof(f15186,plain,
( ~ spl33_827
| spl33_819
| ~ spl33_210
| ~ spl33_328 ),
inference(avatar_split_clause,[],[f3458,f3449,f2249,f15134,f15183]) ).
fof(f15183,plain,
( spl33_827
<=> aSubsetOf0(slbdtrb0(xi),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_827])]) ).
fof(f15134,plain,
( spl33_819
<=> sdtlseqdt0(xi,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_819])]) ).
fof(f3458,plain,
( sdtlseqdt0(xi,sz00)
| ~ aSubsetOf0(slbdtrb0(xi),slcrc0)
| ~ spl33_210
| ~ spl33_328 ),
inference(superposition,[],[f3450,f2251]) ).
fof(f15177,plain,
( ~ spl33_826
| spl33_816
| ~ spl33_209
| ~ spl33_328 ),
inference(avatar_split_clause,[],[f3457,f3449,f2244,f15117,f15174]) ).
fof(f15174,plain,
( spl33_826
<=> aSubsetOf0(slbdtrb0(xk),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_826])]) ).
fof(f3457,plain,
( sdtlseqdt0(xk,sz00)
| ~ aSubsetOf0(slbdtrb0(xk),slcrc0)
| ~ spl33_209
| ~ spl33_328 ),
inference(superposition,[],[f3450,f2246]) ).
fof(f15168,plain,
( ~ spl33_825
| spl33_218
| ~ spl33_208
| ~ spl33_328 ),
inference(avatar_split_clause,[],[f3456,f3449,f2239,f2313,f15165]) ).
fof(f15165,plain,
( spl33_825
<=> aSubsetOf0(slbdtrb0(xK),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_825])]) ).
fof(f3456,plain,
( sdtlseqdt0(xK,sz00)
| ~ aSubsetOf0(slbdtrb0(xK),slcrc0)
| ~ spl33_208
| ~ spl33_328 ),
inference(superposition,[],[f3450,f2241]) ).
fof(f15163,plain,
( spl33_824
| ~ spl33_13
| ~ spl33_294 ),
inference(avatar_split_clause,[],[f3169,f3069,f589,f15160]) ).
fof(f15160,plain,
( spl33_824
<=> szszuzczcdt0(xi) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_824])]) ).
fof(f3169,plain,
( szszuzczcdt0(xi) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xi)))
| ~ spl33_13
| ~ spl33_294 ),
inference(resolution,[],[f3070,f591]) ).
fof(f15158,plain,
( spl33_823
| ~ spl33_14
| ~ spl33_294 ),
inference(avatar_split_clause,[],[f3167,f3069,f594,f15155]) ).
fof(f15155,plain,
( spl33_823
<=> szszuzczcdt0(xK) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_823])]) ).
fof(f3167,plain,
( szszuzczcdt0(xK) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xK)))
| ~ spl33_14
| ~ spl33_294 ),
inference(resolution,[],[f3070,f596]) ).
fof(f15153,plain,
( spl33_822
| ~ spl33_238
| ~ spl33_262 ),
inference(avatar_split_clause,[],[f2759,f2754,f2472,f15151]) ).
fof(f15151,plain,
( spl33_822
<=> ! [X0] :
( ~ aElement0(X0)
| sP1(sdtlbdtrb0(xN,X0),xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_822])]) ).
fof(f2759,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP1(sdtlbdtrb0(xN,X0),xN) )
| ~ spl33_238
| ~ spl33_262 ),
inference(resolution,[],[f2755,f2473]) ).
fof(f15149,plain,
( spl33_821
| ~ spl33_240
| ~ spl33_262 ),
inference(avatar_split_clause,[],[f2758,f2754,f2488,f15147]) ).
fof(f15147,plain,
( spl33_821
<=> ! [X0] :
( ~ aElement0(X0)
| sP3(sdtlbdtrb0(xN,X0),xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_821])]) ).
fof(f2758,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP3(sdtlbdtrb0(xN,X0),xN) )
| ~ spl33_240
| ~ spl33_262 ),
inference(resolution,[],[f2755,f2489]) ).
fof(f15145,plain,
( ~ spl33_13
| ~ spl33_820
| ~ spl33_47
| ~ spl33_247 ),
inference(avatar_split_clause,[],[f2625,f2597,f766,f15142,f589]) ).
fof(f15142,plain,
( spl33_820
<=> xi = sK21(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_820])]) ).
fof(f766,plain,
( spl33_47
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_47])]) ).
fof(f2597,plain,
( spl33_247
<=> xi = szszuzczcdt0(sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_247])]) ).
fof(f2625,plain,
( xi != sK21(xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl33_47
| ~ spl33_247 ),
inference(inner_rewriting,[],[f2605]) ).
fof(f2605,plain,
( xi != sK21(xi)
| ~ aElementOf0(sK21(xi),szNzAzT0)
| ~ spl33_47
| ~ spl33_247 ),
inference(superposition,[],[f767,f2599]) ).
fof(f2599,plain,
( xi = szszuzczcdt0(sK21(xi))
| ~ spl33_247 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f767,plain,
( ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_47 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f15137,plain,
( ~ spl33_818
| ~ spl33_819
| ~ spl33_48
| ~ spl33_247 ),
inference(avatar_split_clause,[],[f2606,f2597,f770,f15134,f15130]) ).
fof(f15130,plain,
( spl33_818
<=> aElementOf0(sK21(xi),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_818])]) ).
fof(f770,plain,
( spl33_48
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_48])]) ).
fof(f2606,plain,
( ~ sdtlseqdt0(xi,sz00)
| ~ aElementOf0(sK21(xi),szNzAzT0)
| ~ spl33_48
| ~ spl33_247 ),
inference(superposition,[],[f771,f2599]) ).
fof(f771,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_48 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f15128,plain,
( ~ spl33_15
| ~ spl33_817
| ~ spl33_47
| ~ spl33_245 ),
inference(avatar_split_clause,[],[f2595,f2562,f766,f15125,f599]) ).
fof(f15125,plain,
( spl33_817
<=> xk = sK21(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_817])]) ).
fof(f2562,plain,
( spl33_245
<=> xk = szszuzczcdt0(sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_245])]) ).
fof(f2595,plain,
( xk != sK21(xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_47
| ~ spl33_245 ),
inference(inner_rewriting,[],[f2575]) ).
fof(f2575,plain,
( xk != sK21(xk)
| ~ aElementOf0(sK21(xk),szNzAzT0)
| ~ spl33_47
| ~ spl33_245 ),
inference(superposition,[],[f767,f2564]) ).
fof(f2564,plain,
( xk = szszuzczcdt0(sK21(xk))
| ~ spl33_245 ),
inference(avatar_component_clause,[],[f2562]) ).
fof(f15120,plain,
( ~ spl33_815
| ~ spl33_816
| ~ spl33_48
| ~ spl33_245 ),
inference(avatar_split_clause,[],[f2576,f2562,f770,f15117,f15113]) ).
fof(f15113,plain,
( spl33_815
<=> aElementOf0(sK21(xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_815])]) ).
fof(f2576,plain,
( ~ sdtlseqdt0(xk,sz00)
| ~ aElementOf0(sK21(xk),szNzAzT0)
| ~ spl33_48
| ~ spl33_245 ),
inference(superposition,[],[f771,f2564]) ).
fof(f15111,plain,
( spl33_814
| ~ spl33_95
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f2573,f2503,f1050,f15109]) ).
fof(f1050,plain,
( spl33_95
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_95])]) ).
fof(f2573,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) )
| ~ spl33_95
| ~ spl33_242 ),
inference(resolution,[],[f2505,f1051]) ).
fof(f1051,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) )
| ~ spl33_95 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f15107,plain,
( ~ spl33_14
| ~ spl33_813
| ~ spl33_47
| ~ spl33_244 ),
inference(avatar_split_clause,[],[f2560,f2536,f766,f15104,f594]) ).
fof(f15104,plain,
( spl33_813
<=> xK = sK21(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_813])]) ).
fof(f2560,plain,
( xK != sK21(xK)
| ~ aElementOf0(xK,szNzAzT0)
| ~ spl33_47
| ~ spl33_244 ),
inference(inner_rewriting,[],[f2540]) ).
fof(f2540,plain,
( xK != sK21(xK)
| ~ aElementOf0(sK21(xK),szNzAzT0)
| ~ spl33_47
| ~ spl33_244 ),
inference(superposition,[],[f767,f2538]) ).
fof(f15101,plain,
( ~ spl33_7
| spl33_812
| ~ spl33_46
| ~ spl33_619 ),
inference(avatar_split_clause,[],[f9960,f9821,f762,f15098,f558]) ).
fof(f9960,plain,
( aSet0(sdtlpdtrp0(xN,xk))
| ~ aSet0(szNzAzT0)
| ~ spl33_46
| ~ spl33_619 ),
inference(resolution,[],[f9822,f763]) ).
fof(f15093,plain,
( spl33_810
| spl33_811
| ~ spl33_13
| ~ spl33_335 ),
inference(avatar_split_clause,[],[f3634,f3626,f589,f15090,f15073]) ).
fof(f15073,plain,
( spl33_810
<=> sdtlseqdt0(xi,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_810])]) ).
fof(f15090,plain,
( spl33_811
<=> sdtlseqdt0(xK,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_811])]) ).
fof(f3634,plain,
( sdtlseqdt0(xK,xi)
| sdtlseqdt0(xi,xk)
| ~ spl33_13
| ~ spl33_335 ),
inference(resolution,[],[f3627,f591]) ).
fof(f15076,plain,
( spl33_810
| ~ spl33_121
| ~ spl33_248 ),
inference(avatar_split_clause,[],[f14866,f2601,f1221,f15073]) ).
fof(f1221,plain,
( spl33_121
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_121])]) ).
fof(f14866,plain,
( sdtlseqdt0(xi,xk)
| ~ spl33_121
| ~ spl33_248 ),
inference(superposition,[],[f1223,f2603]) ).
fof(f1223,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl33_121 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f15026,plain,
( spl33_248
| spl33_809
| ~ spl33_13
| ~ spl33_320 ),
inference(avatar_split_clause,[],[f3384,f3376,f589,f15023,f2601]) ).
fof(f15023,plain,
( spl33_809
<=> aElement0(sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_809])]) ).
fof(f3384,plain,
( aElement0(sK21(xi))
| sz00 = xi
| ~ spl33_13
| ~ spl33_320 ),
inference(resolution,[],[f3377,f591]) ).
fof(f15011,plain,
( ~ spl33_17
| ~ spl33_48
| ~ spl33_524 ),
inference(avatar_split_clause,[],[f14914,f7220,f770,f609]) ).
fof(f7220,plain,
( spl33_524
<=> sdtlseqdt0(szszuzczcdt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_524])]) ).
fof(f14914,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_48
| ~ spl33_524 ),
inference(resolution,[],[f7222,f771]) ).
fof(f7222,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),sz00)
| ~ spl33_524 ),
inference(avatar_component_clause,[],[f7220]) ).
fof(f15010,plain,
( spl33_808
| ~ spl33_215
| ~ spl33_246 ),
inference(avatar_split_clause,[],[f14804,f2566,f2294,f15007]) ).
fof(f14804,plain,
( sP4(xk,slcrc0)
| ~ spl33_215
| ~ spl33_246 ),
inference(superposition,[],[f2296,f2568]) ).
fof(f14936,plain,
( spl33_246
| spl33_807
| ~ spl33_15
| ~ spl33_320 ),
inference(avatar_split_clause,[],[f3383,f3376,f599,f14933,f2566]) ).
fof(f14933,plain,
( spl33_807
<=> aElement0(sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_807])]) ).
fof(f3383,plain,
( aElement0(sK21(xk))
| sz00 = xk
| ~ spl33_15
| ~ spl33_320 ),
inference(resolution,[],[f3377,f601]) ).
fof(f14925,plain,
( spl33_12
| spl33_806
| ~ spl33_14
| ~ spl33_320 ),
inference(avatar_split_clause,[],[f3382,f3376,f594,f14922,f584]) ).
fof(f14922,plain,
( spl33_806
<=> aElement0(sK21(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_806])]) ).
fof(f3382,plain,
( aElement0(sK21(xK))
| sz00 = xK
| ~ spl33_14
| ~ spl33_320 ),
inference(resolution,[],[f3377,f596]) ).
fof(f14913,plain,
( spl33_805
| ~ spl33_110
| ~ spl33_248 ),
inference(avatar_split_clause,[],[f14865,f2601,f1176,f14910]) ).
fof(f14910,plain,
( spl33_805
<=> sdtlseqdt0(xi,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_805])]) ).
fof(f1176,plain,
( spl33_110
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_110])]) ).
fof(f14865,plain,
( sdtlseqdt0(xi,xK)
| ~ spl33_110
| ~ spl33_248 ),
inference(superposition,[],[f1178,f2603]) ).
fof(f1178,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl33_110 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f14908,plain,
( ~ spl33_804
| spl33_12
| ~ spl33_248 ),
inference(avatar_split_clause,[],[f14859,f2601,f584,f14905]) ).
fof(f14905,plain,
( spl33_804
<=> xK = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_804])]) ).
fof(f14859,plain,
( xK != xi
| spl33_12
| ~ spl33_248 ),
inference(superposition,[],[f586,f2603]) ).
fof(f586,plain,
( sz00 != xK
| spl33_12 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f14858,plain,
( spl33_803
| spl33_248
| ~ spl33_13
| ~ spl33_278 ),
inference(avatar_split_clause,[],[f3000,f2880,f589,f2601,f14855]) ).
fof(f14855,plain,
( spl33_803
<=> sP5(sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_803])]) ).
fof(f3000,plain,
( sz00 = xi
| sP5(sK21(xi))
| ~ spl33_13
| ~ spl33_278 ),
inference(resolution,[],[f2881,f591]) ).
fof(f14853,plain,
( spl33_802
| ~ spl33_124
| ~ spl33_246 ),
inference(avatar_split_clause,[],[f14801,f2566,f1273,f14850]) ).
fof(f14850,plain,
( spl33_802
<=> sdtlseqdt0(xk,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_802])]) ).
fof(f1273,plain,
( spl33_124
<=> sdtlseqdt0(sz00,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_124])]) ).
fof(f14801,plain,
( sdtlseqdt0(xk,xi)
| ~ spl33_124
| ~ spl33_246 ),
inference(superposition,[],[f1275,f2568]) ).
fof(f1275,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl33_124 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f14792,plain,
( spl33_801
| spl33_246
| ~ spl33_15
| ~ spl33_278 ),
inference(avatar_split_clause,[],[f2999,f2880,f599,f2566,f14789]) ).
fof(f14789,plain,
( spl33_801
<=> sP5(sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_801])]) ).
fof(f2999,plain,
( sz00 = xk
| sP5(sK21(xk))
| ~ spl33_15
| ~ spl33_278 ),
inference(resolution,[],[f2881,f601]) ).
fof(f14787,plain,
( spl33_800
| spl33_12
| ~ spl33_14
| ~ spl33_278 ),
inference(avatar_split_clause,[],[f2998,f2880,f594,f584,f14784]) ).
fof(f14784,plain,
( spl33_800
<=> sP5(sK21(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_800])]) ).
fof(f2998,plain,
( sz00 = xK
| sP5(sK21(xK))
| ~ spl33_14
| ~ spl33_278 ),
inference(resolution,[],[f2881,f596]) ).
fof(f14780,plain,
( spl33_799
| ~ spl33_240
| ~ spl33_619 ),
inference(avatar_split_clause,[],[f9944,f9821,f2488,f14777]) ).
fof(f14777,plain,
( spl33_799
<=> sP3(sdtlpdtrp0(xN,xk),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_799])]) ).
fof(f9944,plain,
( sP3(sdtlpdtrp0(xN,xk),xN)
| ~ spl33_240
| ~ spl33_619 ),
inference(resolution,[],[f9822,f2489]) ).
fof(f14775,plain,
( spl33_798
| ~ spl33_238
| ~ spl33_619 ),
inference(avatar_split_clause,[],[f9943,f9821,f2472,f14772]) ).
fof(f14772,plain,
( spl33_798
<=> sP1(sdtlpdtrp0(xN,xk),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_798])]) ).
fof(f9943,plain,
( sP1(sdtlpdtrp0(xN,xk),xN)
| ~ spl33_238
| ~ spl33_619 ),
inference(resolution,[],[f9822,f2473]) ).
fof(f14764,plain,
( ~ spl33_17
| spl33_797
| ~ spl33_23
| ~ spl33_261 ),
inference(avatar_split_clause,[],[f2752,f2749,f638,f14761,f609]) ).
fof(f14761,plain,
( spl33_797
<=> aElement0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_797])]) ).
fof(f2752,plain,
( aElement0(xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_23
| ~ spl33_261 ),
inference(superposition,[],[f2750,f640]) ).
fof(f14759,plain,
( ~ spl33_17
| ~ spl33_47
| ~ spl33_761 ),
inference(avatar_split_clause,[],[f14355,f13589,f766,f609]) ).
fof(f14355,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_47
| ~ spl33_761 ),
inference(trivial_inequality_removal,[],[f14296]) ).
fof(f14296,plain,
( sz00 != sz00
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_47
| ~ spl33_761 ),
inference(superposition,[],[f767,f13591]) ).
fof(f13591,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ spl33_761 ),
inference(avatar_component_clause,[],[f13589]) ).
fof(f14727,plain,
( spl33_796
| ~ spl33_176
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2134,f2116,f1802,f14725]) ).
fof(f14725,plain,
( spl33_796
<=> ! [X2,X0,X1] :
( sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = sdtlpdtrp0(X0,sK16(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP2(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_796])]) ).
fof(f1802,plain,
( spl33_176
<=> ! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_176])]) ).
fof(f2116,plain,
( spl33_191
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_191])]) ).
fof(f2134,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = sdtlpdtrp0(X0,sK16(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP2(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_176
| ~ spl33_191 ),
inference(resolution,[],[f2117,f1803]) ).
fof(f1803,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| aElementOf0(X0,slbdtrb0(X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_176 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f2117,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_191 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f14711,plain,
( spl33_795
| ~ spl33_128
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2144,f2140,f1306,f14709]) ).
fof(f14709,plain,
( spl33_795
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xN,szszuzczcdt0(X0)) = sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_795])]) ).
fof(f2140,plain,
( spl33_193
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_193])]) ).
fof(f2144,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xN,szszuzczcdt0(X0)) = sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ spl33_128
| ~ spl33_193 ),
inference(resolution,[],[f2141,f1307]) ).
fof(f2141,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_193 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f14642,plain,
( spl33_794
| ~ spl33_176
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2109,f2076,f1802,f14640]) ).
fof(f14640,plain,
( spl33_794
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2),X2)
| sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X0
| sP9(X0,slbdtrb0(szszuzczcdt0(X1)),X2)
| aElementOf0(sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2),slbdtrb0(X1))
| sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_794])]) ).
fof(f2076,plain,
( spl33_189
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) = X0
| aElementOf0(sK29(X0,X1,X2),X1)
| aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_189])]) ).
fof(f2109,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2),X2)
| sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X0
| sP9(X0,slbdtrb0(szszuzczcdt0(X1)),X2)
| aElementOf0(sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2),slbdtrb0(X1))
| sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK29(X0,slbdtrb0(szszuzczcdt0(X1)),X2),szNzAzT0) )
| ~ spl33_176
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1803]) ).
fof(f2077,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| aElementOf0(sK29(X0,X1,X2),X1)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2) )
| ~ spl33_189 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f14638,plain,
( spl33_793
| ~ spl33_176
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2095,f2076,f1802,f14636]) ).
fof(f14636,plain,
( spl33_793
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X0
| sP9(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_793])]) ).
fof(f2095,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X0
| sP9(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_176
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1803]) ).
fof(f14634,plain,
( spl33_792
| ~ spl33_176
| ~ spl33_180 ),
inference(avatar_split_clause,[],[f2006,f1980,f1802,f14632]) ).
fof(f14632,plain,
( spl33_792
<=> ! [X0,X1] :
( szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))) = X1
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0)
| aElementOf0(sK23(slbdtrb0(szszuzczcdt0(X0)),X1),slbdtrb0(X0))
| sK23(slbdtrb0(szszuzczcdt0(X0)),X1) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK23(slbdtrb0(szszuzczcdt0(X0)),X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_792])]) ).
fof(f1980,plain,
( spl33_180
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK23(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_180])]) ).
fof(f2006,plain,
( ! [X0,X1] :
( szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))) = X1
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0)
| aElementOf0(sK23(slbdtrb0(szszuzczcdt0(X0)),X1),slbdtrb0(X0))
| sK23(slbdtrb0(szszuzczcdt0(X0)),X1) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK23(slbdtrb0(szszuzczcdt0(X0)),X1),szNzAzT0) )
| ~ spl33_176
| ~ spl33_180 ),
inference(resolution,[],[f1981,f1803]) ).
fof(f1981,plain,
( ! [X0,X1] :
( aElementOf0(sK23(X0,X1),X0)
| szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_180 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f14629,plain,
( spl33_791
| ~ spl33_760
| ~ spl33_761 ),
inference(avatar_split_clause,[],[f14295,f13589,f13585,f14626]) ).
fof(f14626,plain,
( spl33_791
<=> sP5(sK21(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_791])]) ).
fof(f13585,plain,
( spl33_760
<=> sP5(sK21(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_760])]) ).
fof(f14295,plain,
( sP5(sK21(sz00))
| ~ spl33_760
| ~ spl33_761 ),
inference(superposition,[],[f13587,f13591]) ).
fof(f13587,plain,
( sP5(sK21(szszuzczcdt0(sz00)))
| ~ spl33_760 ),
inference(avatar_component_clause,[],[f13585]) ).
fof(f14602,plain,
( spl33_790
| ~ spl33_153
| ~ spl33_198 ),
inference(avatar_split_clause,[],[f2187,f2179,f1482,f14600]) ).
fof(f14600,plain,
( spl33_790
<=> ! [X2,X0,X1] :
( sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X0
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| ~ aElement0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP8(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_790])]) ).
fof(f1482,plain,
( spl33_153
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_153])]) ).
fof(f2179,plain,
( spl33_198
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_198])]) ).
fof(f2187,plain,
( ! [X2,X0,X1] :
( sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X0
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| ~ aElement0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP8(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_153
| ~ spl33_198 ),
inference(resolution,[],[f2180,f1483]) ).
fof(f1483,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_153 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f2180,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK28(X0,X1,X2),X2)
| sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2) )
| ~ spl33_198 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f14567,plain,
( spl33_789
| ~ spl33_176
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2021,f1988,f1802,f14565]) ).
fof(f14565,plain,
( spl33_789
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2)))) = X1
| sP6(X1,X0,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_789])]) ).
fof(f1988,plain,
( spl33_182
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_182])]) ).
fof(f2021,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2)))) = X1
| sP6(X1,X0,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK27(X1,X0,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_176
| ~ spl33_182 ),
inference(resolution,[],[f1989,f1803]) ).
fof(f1989,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| sP6(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_182 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f14497,plain,
( spl33_788
| ~ spl33_176
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1974,f1938,f1802,f14495]) ).
fof(f14495,plain,
( spl33_788
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2)))) = X0
| sP10(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_788])]) ).
fof(f1938,plain,
( spl33_179
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_179])]) ).
fof(f1974,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2)))) = X0
| sP10(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_176
| ~ spl33_179 ),
inference(resolution,[],[f1939,f1803]) ).
fof(f1939,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_179 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f14493,plain,
( spl33_787
| ~ spl33_176
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1956,f1930,f1802,f14491]) ).
fof(f14491,plain,
( spl33_787
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szDzozmdt0(X1))
| sP6(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_787])]) ).
fof(f1930,plain,
( spl33_178
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_178])]) ).
fof(f1956,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szDzozmdt0(X1))
| sP6(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| aElementOf0(sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK27(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_176
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1803]) ).
fof(f1931,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_178 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f14470,plain,
( ~ spl33_175
| spl33_524
| ~ spl33_761 ),
inference(avatar_split_clause,[],[f14287,f13589,f7220,f1797]) ).
fof(f14287,plain,
( ~ sdtlseqdt0(sz00,sz00)
| spl33_524
| ~ spl33_761 ),
inference(superposition,[],[f7221,f13591]) ).
fof(f7221,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sz00),sz00)
| spl33_524 ),
inference(avatar_component_clause,[],[f7220]) ).
fof(f14435,plain,
( spl33_786
| ~ spl33_174
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1907,f1802,f1793,f14433]) ).
fof(f14433,plain,
( spl33_786
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aSubsetOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sP10(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_786])]) ).
fof(f1793,plain,
( spl33_174
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_174])]) ).
fof(f1907,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aSubsetOf0(sK32(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sP10(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) )
| ~ spl33_174
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1794]) ).
fof(f1794,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_174 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f14431,plain,
( spl33_785
| ~ spl33_170
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1903,f1802,f1777,f14429]) ).
fof(f14429,plain,
( spl33_785
<=> ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElementOf0(sK16(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sP2(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_785])]) ).
fof(f1777,plain,
( spl33_170
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_170])]) ).
fof(f1903,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK15(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElementOf0(sK16(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sP2(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) )
| ~ spl33_170
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1778]) ).
fof(f1778,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_170 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f14427,plain,
( spl33_784
| ~ spl33_171
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1894,f1802,f1781,f14425]) ).
fof(f14425,plain,
( spl33_784
<=> ! [X0,X1] :
( aElementOf0(sK25(slbdtrb0(szszuzczcdt0(X0)),X1),slbdtrb0(X0))
| sK25(slbdtrb0(szszuzczcdt0(X0)),X1) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK25(slbdtrb0(szszuzczcdt0(X0)),X1),szNzAzT0)
| szmzizndt0(slbdtrb0(szszuzczcdt0(X0))) = X1
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_784])]) ).
fof(f1781,plain,
( spl33_171
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_171])]) ).
fof(f1894,plain,
( ! [X0,X1] :
( aElementOf0(sK25(slbdtrb0(szszuzczcdt0(X0)),X1),slbdtrb0(X0))
| sK25(slbdtrb0(szszuzczcdt0(X0)),X1) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK25(slbdtrb0(szszuzczcdt0(X0)),X1),szNzAzT0)
| szmzizndt0(slbdtrb0(szszuzczcdt0(X0))) = X1
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0) )
| ~ spl33_171
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1782]) ).
fof(f1782,plain,
( ! [X0,X1] :
( aElementOf0(sK25(X0,X1),X0)
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_171 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f14414,plain,
( spl33_783
| ~ spl33_170
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1898,f1802,f1777,f14412]) ).
fof(f14412,plain,
( spl33_783
<=> ! [X2,X0,X1] :
( aElementOf0(sK16(X0,slbdtrb0(szszuzczcdt0(X1)),X2),slbdtrb0(X1))
| sK16(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK16(X0,slbdtrb0(szszuzczcdt0(X1)),X2),szNzAzT0)
| aElementOf0(sK15(X0,slbdtrb0(szszuzczcdt0(X1)),X2),X2)
| sP2(X0,slbdtrb0(szszuzczcdt0(X1)),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_783])]) ).
fof(f1898,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,slbdtrb0(szszuzczcdt0(X1)),X2),slbdtrb0(X1))
| sK16(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK16(X0,slbdtrb0(szszuzczcdt0(X1)),X2),szNzAzT0)
| aElementOf0(sK15(X0,slbdtrb0(szszuzczcdt0(X1)),X2),X2)
| sP2(X0,slbdtrb0(szszuzczcdt0(X1)),X2)
| ~ aSet0(X2) )
| ~ spl33_170
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1778]) ).
fof(f14392,plain,
( spl33_782
| ~ spl33_154
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2143,f2140,f1486,f14390]) ).
fof(f14390,plain,
( spl33_782
<=> ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_782])]) ).
fof(f1486,plain,
( spl33_154
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_154])]) ).
fof(f2143,plain,
( ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1) )
| ~ spl33_154
| ~ spl33_193 ),
inference(resolution,[],[f2141,f1487]) ).
fof(f1487,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_154 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f14209,plain,
( spl33_781
| ~ spl33_160
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1904,f1802,f1632,f14207]) ).
fof(f14207,plain,
( spl33_781
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sP8(X0,X1,slbdtrb0(szszuzczcdt0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_781])]) ).
fof(f1632,plain,
( spl33_160
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_160])]) ).
fof(f1904,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| sP8(X0,X1,slbdtrb0(szszuzczcdt0(X2))) )
| ~ spl33_160
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1633]) ).
fof(f1633,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| aElementOf0(sK28(X0,X1,X2),X1)
| sP8(X0,X1,X2) )
| ~ spl33_160 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f14205,plain,
( spl33_780
| ~ spl33_160
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1902,f1802,f1632,f14203]) ).
fof(f14203,plain,
( spl33_780
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2),slbdtrb0(X1))
| sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2),szNzAzT0)
| aElementOf0(sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2),X2)
| sP8(X0,slbdtrb0(szszuzczcdt0(X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_780])]) ).
fof(f1902,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2),slbdtrb0(X1))
| sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2),szNzAzT0)
| aElementOf0(sK28(X0,slbdtrb0(szszuzczcdt0(X1)),X2),X2)
| sP8(X0,slbdtrb0(szszuzczcdt0(X1)),X2) )
| ~ spl33_160
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1633]) ).
fof(f14201,plain,
( spl33_779
| ~ spl33_159
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1900,f1802,f1628,f14199]) ).
fof(f14199,plain,
( spl33_779
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,slbdtrb0(szszuzczcdt0(X1))),slbdtrb0(X1))
| sK22(X0,slbdtrb0(szszuzczcdt0(X1))) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK22(X0,slbdtrb0(szszuzczcdt0(X1))),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,slbdtrb0(szszuzczcdt0(X1)))),X0)
| sP4(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_779])]) ).
fof(f1628,plain,
( spl33_159
<=> ! [X0,X1] :
( sP4(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_159])]) ).
fof(f1900,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,slbdtrb0(szszuzczcdt0(X1))),slbdtrb0(X1))
| sK22(X0,slbdtrb0(szszuzczcdt0(X1))) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK22(X0,slbdtrb0(szszuzczcdt0(X1))),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,slbdtrb0(szszuzczcdt0(X1)))),X0)
| sP4(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl33_159
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1629]) ).
fof(f1629,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ spl33_159 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f14048,plain,
( spl33_778
| ~ spl33_153
| ~ spl33_196 ),
inference(avatar_split_clause,[],[f2172,f2159,f1482,f14046]) ).
fof(f14046,plain,
( spl33_778
<=> ! [X0,X1] :
( szmzizndt0(X1) = szmzizndt0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(X0))),X1)
| slcrc0 = X1
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_778])]) ).
fof(f2159,plain,
( spl33_196
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_196])]) ).
fof(f2172,plain,
( ! [X0,X1] :
( szmzizndt0(X1) = szmzizndt0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(X0))),X1)
| slcrc0 = X1
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),szNzAzT0) )
| ~ spl33_153
| ~ spl33_196 ),
inference(resolution,[],[f2160,f1483]) ).
fof(f2160,plain,
( ! [X0,X1] :
( ~ aElementOf0(szmzizndt0(X1),X0)
| szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_196 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f14044,plain,
( spl33_761
| spl33_777
| ~ spl33_320
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11008,f10262,f3376,f14041,f13589]) ).
fof(f11008,plain,
( aElement0(sK21(szszuzczcdt0(sz00)))
| sz00 = szszuzczcdt0(sz00)
| ~ spl33_320
| ~ spl33_654 ),
inference(resolution,[],[f10263,f3377]) ).
fof(f14039,plain,
( spl33_776
| ~ spl33_183
| ~ spl33_194 ),
inference(avatar_split_clause,[],[f2167,f2151,f1992,f14037]) ).
fof(f14037,plain,
( spl33_776
<=> ! [X2,X0,X1] :
( slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK31(X2,X1,slbdtsldtrb0(X0,X1)))
| sz00 = X1
| ~ aSet0(sK31(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aSubsetOf0(slbdtsldtrb0(X0,X1),slbdtsldtrb0(X2,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_776])]) ).
fof(f1992,plain,
( spl33_183
<=> ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_183])]) ).
fof(f2151,plain,
( spl33_194
<=> ! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_194])]) ).
fof(f2167,plain,
( ! [X2,X0,X1] :
( slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK31(X2,X1,slbdtsldtrb0(X0,X1)))
| sz00 = X1
| ~ aSet0(sK31(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aSubsetOf0(slbdtsldtrb0(X0,X1),slbdtsldtrb0(X2,X1))
| ~ aSet0(X2) )
| ~ spl33_183
| ~ spl33_194 ),
inference(duplicate_literal_removal,[],[f2162]) ).
fof(f2162,plain,
( ! [X2,X0,X1] :
( slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK31(X2,X1,slbdtsldtrb0(X0,X1)))
| sz00 = X1
| ~ aSet0(sK31(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aSubsetOf0(slbdtsldtrb0(X0,X1),slbdtsldtrb0(X2,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) )
| ~ spl33_183
| ~ spl33_194 ),
inference(resolution,[],[f2152,f1993]) ).
fof(f1993,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl33_183 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f2152,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| slcrc0 = slbdtsldtrb0(X1,X0)
| aSubsetOf0(X1,X2)
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_194 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f14035,plain,
( spl33_775
| ~ spl33_153
| ~ spl33_188 ),
inference(avatar_split_clause,[],[f2071,f2051,f1482,f14033]) ).
fof(f14033,plain,
( spl33_775
<=> ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| ~ aElement0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP9(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_775])]) ).
fof(f2051,plain,
( spl33_188
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_188])]) ).
fof(f2071,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),X1)
| ~ aElement0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP9(X0,X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0) )
| ~ spl33_153
| ~ spl33_188 ),
inference(resolution,[],[f2052,f1483]) ).
fof(f2052,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X2)
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2) )
| ~ spl33_188 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f14031,plain,
( spl33_774
| ~ spl33_150
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1906,f1802,f1470,f14029]) ).
fof(f14029,plain,
( spl33_774
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElement0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP9(X0,X1,slbdtrb0(szszuzczcdt0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_774])]) ).
fof(f1470,plain,
( spl33_150
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_150])]) ).
fof(f1906,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElement0(sK29(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP9(X0,X1,slbdtrb0(szszuzczcdt0(X2))) )
| ~ spl33_150
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1471]) ).
fof(f1471,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2) )
| ~ spl33_150 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f14027,plain,
( spl33_773
| ~ spl33_148
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1905,f1802,f1462,f14025]) ).
fof(f14025,plain,
( spl33_773
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElement0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP8(X0,X1,slbdtrb0(szszuzczcdt0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_773])]) ).
fof(f1462,plain,
( spl33_148
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_148])]) ).
fof(f1905,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),slbdtrb0(X2))
| sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))),szNzAzT0)
| aElement0(sK28(X0,X1,slbdtrb0(szszuzczcdt0(X2))))
| sP8(X0,X1,slbdtrb0(szszuzczcdt0(X2))) )
| ~ spl33_148
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1463]) ).
fof(f1463,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2) )
| ~ spl33_148 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f13964,plain,
( spl33_772
| ~ spl33_174
| ~ spl33_186 ),
inference(avatar_split_clause,[],[f2058,f2043,f1793,f13962]) ).
fof(f13962,plain,
( spl33_772
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sK32(X1,szDzozmdt0(X0),X2))
| isCountable0(sdtlcdtrc0(X0,sK32(X1,szDzozmdt0(X0),X2)))
| ~ aFunction0(X0)
| aElementOf0(sK32(X1,szDzozmdt0(X0),X2),X2)
| sP10(X1,szDzozmdt0(X0),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_772])]) ).
fof(f2043,plain,
( spl33_186
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_186])]) ).
fof(f2058,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sK32(X1,szDzozmdt0(X0),X2))
| isCountable0(sdtlcdtrc0(X0,sK32(X1,szDzozmdt0(X0),X2)))
| ~ aFunction0(X0)
| aElementOf0(sK32(X1,szDzozmdt0(X0),X2),X2)
| sP10(X1,szDzozmdt0(X0),X2)
| ~ aSet0(X2) )
| ~ spl33_174
| ~ spl33_186 ),
inference(resolution,[],[f2044,f1794]) ).
fof(f2044,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_186 ),
inference(avatar_component_clause,[],[f2043]) ).
fof(f13960,plain,
( spl33_771
| ~ spl33_173
| ~ spl33_186 ),
inference(avatar_split_clause,[],[f2057,f2043,f1789,f13958]) ).
fof(f13958,plain,
( spl33_771
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sK31(szDzozmdt0(X0),X1,X2))
| isCountable0(sdtlcdtrc0(X0,sK31(szDzozmdt0(X0),X1,X2)))
| ~ aFunction0(X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(szDzozmdt0(X0),X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_771])]) ).
fof(f1789,plain,
( spl33_173
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_173])]) ).
fof(f2057,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sK31(szDzozmdt0(X0),X1,X2))
| isCountable0(sdtlcdtrc0(X0,sK31(szDzozmdt0(X0),X1,X2)))
| ~ aFunction0(X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(szDzozmdt0(X0),X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_173
| ~ spl33_186 ),
inference(resolution,[],[f2044,f1790]) ).
fof(f1790,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl33_173 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f13885,plain,
( spl33_770
| ~ spl33_168
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1874,f1793,f1724,f13883]) ).
fof(f13883,plain,
( spl33_770
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK32(X0,slbdtsldtrb0(X1,X2),X3),X3)
| sP10(X0,slbdtsldtrb0(X1,X2),X3)
| ~ aSet0(X3)
| ~ isFinite0(sK32(X0,slbdtsldtrb0(X1,X2),X3))
| isFinite0(sK31(X1,X2,sK32(X0,slbdtsldtrb0(X1,X2),X3)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_770])]) ).
fof(f1724,plain,
( spl33_168
<=> ! [X2,X0,X1] :
( isFinite0(sK31(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_168])]) ).
fof(f1874,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK32(X0,slbdtsldtrb0(X1,X2),X3),X3)
| sP10(X0,slbdtsldtrb0(X1,X2),X3)
| ~ aSet0(X3)
| ~ isFinite0(sK32(X0,slbdtsldtrb0(X1,X2),X3))
| isFinite0(sK31(X1,X2,sK32(X0,slbdtsldtrb0(X1,X2),X3)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) )
| ~ spl33_168
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1725]) ).
fof(f1725,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ isFinite0(X2)
| isFinite0(sK31(X0,X1,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl33_168 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f13881,plain,
( spl33_769
| ~ spl33_168
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1859,f1789,f1724,f13879]) ).
fof(f13879,plain,
( spl33_769
<=> ! [X0,X3,X2,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(slbdtsldtrb0(X1,X2),X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(slbdtsldtrb0(X1,X2))
| ~ isFinite0(sK31(slbdtsldtrb0(X1,X2),X3,X0))
| isFinite0(sK31(X1,X2,sK31(slbdtsldtrb0(X1,X2),X3,X0)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_769])]) ).
fof(f1859,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(slbdtsldtrb0(X1,X2),X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(slbdtsldtrb0(X1,X2))
| ~ isFinite0(sK31(slbdtsldtrb0(X1,X2),X3,X0))
| isFinite0(sK31(X1,X2,sK31(slbdtsldtrb0(X1,X2),X3,X0)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) )
| ~ spl33_168
| ~ spl33_173 ),
inference(resolution,[],[f1790,f1725]) ).
fof(f13823,plain,
( spl33_768
| ~ spl33_64
| ~ spl33_196 ),
inference(avatar_split_clause,[],[f2171,f2159,f857,f13821]) ).
fof(f13821,plain,
( spl33_768
<=> ! [X0] :
( szmzizndt0(X0) = szmzizndt0(slbdtrb0(szszuzczcdt0(szmzizndt0(X0))))
| ~ aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(szmzizndt0(X0)))),X0)
| slcrc0 = X0
| slcrc0 = slbdtrb0(szszuzczcdt0(szmzizndt0(X0)))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(szmzizndt0(X0))),szNzAzT0)
| ~ aElementOf0(szmzizndt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_768])]) ).
fof(f857,plain,
( spl33_64
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_64])]) ).
fof(f2171,plain,
( ! [X0] :
( szmzizndt0(X0) = szmzizndt0(slbdtrb0(szszuzczcdt0(szmzizndt0(X0))))
| ~ aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(szmzizndt0(X0)))),X0)
| slcrc0 = X0
| slcrc0 = slbdtrb0(szszuzczcdt0(szmzizndt0(X0)))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(szmzizndt0(X0))),szNzAzT0)
| ~ aElementOf0(szmzizndt0(X0),szNzAzT0) )
| ~ spl33_64
| ~ spl33_196 ),
inference(resolution,[],[f2160,f858]) ).
fof(f858,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_64 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f13819,plain,
( spl33_767
| ~ spl33_166
| ~ spl33_196 ),
inference(avatar_split_clause,[],[f2169,f2159,f1716,f13817]) ).
fof(f13817,plain,
( spl33_767
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,szmzizndt0(X1)))
| ~ aElement0(szmzizndt0(X1))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_767])]) ).
fof(f1716,plain,
( spl33_166
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_166])]) ).
fof(f2169,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,szmzizndt0(X1)))
| ~ aElement0(szmzizndt0(X1))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_166
| ~ spl33_196 ),
inference(resolution,[],[f2160,f1717]) ).
fof(f1717,plain,
( ! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_166 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f13815,plain,
( spl33_766
| ~ spl33_161
| ~ spl33_186 ),
inference(avatar_split_clause,[],[f2056,f2043,f1636,f13813]) ).
fof(f13813,plain,
( spl33_766
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sK30(szDzozmdt0(X0),X1))
| isCountable0(sdtlcdtrc0(X0,sK30(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(szDzozmdt0(X0)))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_766])]) ).
fof(f1636,plain,
( spl33_161
<=> ! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_161])]) ).
fof(f2056,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sK30(szDzozmdt0(X0),X1))
| isCountable0(sdtlcdtrc0(X0,sK30(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(szDzozmdt0(X0)))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_161
| ~ spl33_186 ),
inference(resolution,[],[f2044,f1637]) ).
fof(f1637,plain,
( ! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl33_161 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f13811,plain,
( spl33_765
| ~ spl33_128
| ~ spl33_183 ),
inference(avatar_split_clause,[],[f2037,f1992,f1306,f13809]) ).
fof(f13809,plain,
( spl33_765
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| slbdtsldtrb0(sK31(X1,X2,X0),X2) = X0
| ~ aSubsetOf0(slbdtsldtrb0(sK31(X1,X2,X0),X2),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_765])]) ).
fof(f2037,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| slbdtsldtrb0(sK31(X1,X2,X0),X2) = X0
| ~ aSubsetOf0(slbdtsldtrb0(sK31(X1,X2,X0),X2),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2)) )
| ~ spl33_128
| ~ spl33_183 ),
inference(resolution,[],[f1993,f1307]) ).
fof(f13807,plain,
( spl33_764
| ~ spl33_161
| ~ spl33_168 ),
inference(avatar_split_clause,[],[f1766,f1724,f1636,f13805]) ).
fof(f13805,plain,
( spl33_764
<=> ! [X2,X0,X1] :
( ~ isFinite0(sK30(slbdtsldtrb0(X0,X1),X2))
| isFinite0(sK31(X0,X1,sK30(slbdtsldtrb0(X0,X1),X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X2,sbrdtbr0(slbdtsldtrb0(X0,X1)))
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_764])]) ).
fof(f1766,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(sK30(slbdtsldtrb0(X0,X1),X2))
| isFinite0(sK31(X0,X1,sK30(slbdtsldtrb0(X0,X1),X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X2,sbrdtbr0(slbdtsldtrb0(X0,X1)))
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl33_161
| ~ spl33_168 ),
inference(resolution,[],[f1725,f1637]) ).
fof(f13803,plain,
( spl33_763
| ~ spl33_159
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1759,f1720,f1628,f13801]) ).
fof(f13801,plain,
( spl33_763
<=> ! [X0,X1] :
( szszuzczcdt0(sK22(sbrdtbr0(X0),X1)) = sbrdtbr0(sK30(X0,szszuzczcdt0(sK22(sbrdtbr0(X0),X1))))
| ~ isFinite0(X0)
| ~ aElementOf0(szszuzczcdt0(sK22(sbrdtbr0(X0),X1)),szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(sK22(sbrdtbr0(X0),X1),X1)
| sP4(sbrdtbr0(X0),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_763])]) ).
fof(f1720,plain,
( spl33_167
<=> ! [X0,X1] :
( sbrdtbr0(sK30(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_167])]) ).
fof(f1759,plain,
( ! [X0,X1] :
( szszuzczcdt0(sK22(sbrdtbr0(X0),X1)) = sbrdtbr0(sK30(X0,szszuzczcdt0(sK22(sbrdtbr0(X0),X1))))
| ~ isFinite0(X0)
| ~ aElementOf0(szszuzczcdt0(sK22(sbrdtbr0(X0),X1)),szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(sK22(sbrdtbr0(X0),X1),X1)
| sP4(sbrdtbr0(X0),X1)
| ~ aSet0(X1) )
| ~ spl33_159
| ~ spl33_167 ),
inference(resolution,[],[f1721,f1629]) ).
fof(f1721,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| sbrdtbr0(sK30(X0,X1)) = X1
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl33_167 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f13776,plain,
( spl33_762
| ~ spl33_101
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2145,f2140,f1113,f13774]) ).
fof(f13774,plain,
( spl33_762
<=> ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_762])]) ).
fof(f2145,plain,
( ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ spl33_101
| ~ spl33_193 ),
inference(resolution,[],[f2141,f1114]) ).
fof(f13592,plain,
( spl33_760
| spl33_761
| ~ spl33_278
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11006,f10262,f2880,f13589,f13585]) ).
fof(f11006,plain,
( sz00 = szszuzczcdt0(sz00)
| sP5(sK21(szszuzczcdt0(sz00)))
| ~ spl33_278
| ~ spl33_654 ),
inference(resolution,[],[f10263,f2881]) ).
fof(f13583,plain,
( spl33_759
| ~ spl33_166
| ~ spl33_198 ),
inference(avatar_split_clause,[],[f2191,f2179,f1716,f13581]) ).
fof(f13581,plain,
( spl33_759
<=> ! [X2,X0,X1] :
( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| szszuzczcdt0(sbrdtbr0(X2)) = sbrdtbr0(sdtpldt0(X2,sK28(X0,X1,X2)))
| ~ isFinite0(X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_759])]) ).
fof(f2191,plain,
( ! [X2,X0,X1] :
( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| szszuzczcdt0(sbrdtbr0(X2)) = sbrdtbr0(sdtpldt0(X2,sK28(X0,X1,X2)))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_166
| ~ spl33_198 ),
inference(duplicate_literal_removal,[],[f2183]) ).
fof(f2183,plain,
( ! [X2,X0,X1] :
( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| szszuzczcdt0(sbrdtbr0(X2)) = sbrdtbr0(sdtpldt0(X2,sK28(X0,X1,X2)))
| ~ aElement0(sK28(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_166
| ~ spl33_198 ),
inference(resolution,[],[f2180,f1717]) ).
fof(f13579,plain,
( spl33_758
| ~ spl33_137
| ~ spl33_198 ),
inference(avatar_split_clause,[],[f2190,f2179,f1363,f13577]) ).
fof(f13577,plain,
( spl33_758
<=> ! [X2,X0,X1] :
( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| sdtmndt0(sdtpldt0(X2,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X2
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_758])]) ).
fof(f1363,plain,
( spl33_137
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_137])]) ).
fof(f2190,plain,
( ! [X2,X0,X1] :
( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| sdtmndt0(sdtpldt0(X2,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_137
| ~ spl33_198 ),
inference(duplicate_literal_removal,[],[f2184]) ).
fof(f2184,plain,
( ! [X2,X0,X1] :
( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| sdtmndt0(sdtpldt0(X2,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X2
| ~ aSet0(X2)
| ~ aElement0(sK28(X0,X1,X2)) )
| ~ spl33_137
| ~ spl33_198 ),
inference(resolution,[],[f2180,f1364]) ).
fof(f1364,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_137 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f13575,plain,
( spl33_757
| ~ spl33_114
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1899,f1802,f1193,f13573]) ).
fof(f13573,plain,
( spl33_757
<=> ! [X0,X1] :
( aElementOf0(sK20(X0,slbdtrb0(szszuzczcdt0(X1))),slbdtrb0(X1))
| sK20(X0,slbdtrb0(szszuzczcdt0(X1))) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK20(X0,slbdtrb0(szszuzczcdt0(X1))),szNzAzT0)
| aSubsetOf0(slbdtrb0(szszuzczcdt0(X1)),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_757])]) ).
fof(f1899,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,slbdtrb0(szszuzczcdt0(X1))),slbdtrb0(X1))
| sK20(X0,slbdtrb0(szszuzczcdt0(X1))) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK20(X0,slbdtrb0(szszuzczcdt0(X1))),szNzAzT0)
| aSubsetOf0(slbdtrb0(szszuzczcdt0(X1)),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(X0) )
| ~ spl33_114
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1194]) ).
fof(f13571,plain,
( spl33_756
| ~ spl33_123
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1893,f1802,f1230,f13569]) ).
fof(f13569,plain,
( spl33_756
<=> ! [X0] :
( aElementOf0(szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))),slbdtrb0(X0))
| szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))),szNzAzT0)
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_756])]) ).
fof(f1230,plain,
( spl33_123
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_123])]) ).
fof(f1893,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))),slbdtrb0(X0))
| szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(slbdtrb0(szszuzczcdt0(X0))),szNzAzT0)
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0) )
| ~ spl33_123
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1231]) ).
fof(f1231,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_123 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f13417,plain,
( spl33_755
| ~ spl33_137
| ~ spl33_196 ),
inference(avatar_split_clause,[],[f2170,f2159,f1363,f13415]) ).
fof(f13415,plain,
( spl33_755
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtmndt0(sdtpldt0(X0,szmzizndt0(X1)),szmzizndt0(X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(szmzizndt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_755])]) ).
fof(f2170,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtmndt0(sdtpldt0(X0,szmzizndt0(X1)),szmzizndt0(X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(szmzizndt0(X1)) )
| ~ spl33_137
| ~ spl33_196 ),
inference(resolution,[],[f2160,f1364]) ).
fof(f13413,plain,
( spl33_754
| ~ spl33_166
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1896,f1802,f1716,f13411]) ).
fof(f13411,plain,
( spl33_754
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sdtpldt0(slbdtrb0(szszuzczcdt0(X1)),X0)) = szszuzczcdt0(sbrdtbr0(slbdtrb0(szszuzczcdt0(X1))))
| ~ aElement0(X0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_754])]) ).
fof(f1896,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sdtpldt0(slbdtrb0(szszuzczcdt0(X1)),X0)) = szszuzczcdt0(sbrdtbr0(slbdtrb0(szszuzczcdt0(X1))))
| ~ aElement0(X0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl33_166
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1717]) ).
fof(f13409,plain,
( spl33_753
| ~ spl33_163
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1871,f1793,f1704,f13407]) ).
fof(f13407,plain,
( spl33_753
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| aElementOf0(sK18(X1),szDzozmdt0(X1))
| ~ isCountable0(sK32(X0,szDzozmdt0(X1),X2))
| isCountable0(sdtlcdtrc0(X1,sK32(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_753])]) ).
fof(f1704,plain,
( spl33_163
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_163])]) ).
fof(f1871,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| aElementOf0(sK18(X1),szDzozmdt0(X1))
| ~ isCountable0(sK32(X0,szDzozmdt0(X1),X2))
| isCountable0(sdtlcdtrc0(X1,sK32(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) )
| ~ spl33_163
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1705]) ).
fof(f1705,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_163 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f13405,plain,
( spl33_752
| ~ spl33_164
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1870,f1793,f1708,f13403]) ).
fof(f13403,plain,
( spl33_752
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| aElementOf0(sK19(X1),szDzozmdt0(X1))
| ~ isCountable0(sK32(X0,szDzozmdt0(X1),X2))
| isCountable0(sdtlcdtrc0(X1,sK32(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_752])]) ).
fof(f1708,plain,
( spl33_164
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_164])]) ).
fof(f1870,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| aElementOf0(sK19(X1),szDzozmdt0(X1))
| ~ isCountable0(sK32(X0,szDzozmdt0(X1),X2))
| isCountable0(sdtlcdtrc0(X1,sK32(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) )
| ~ spl33_164
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1709]) ).
fof(f1709,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_164 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f13401,plain,
( spl33_751
| ~ spl33_163
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1856,f1789,f1704,f13399]) ).
fof(f13399,plain,
( spl33_751
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| aElementOf0(sK18(X1),szDzozmdt0(X1))
| ~ isCountable0(sK31(szDzozmdt0(X1),X2,X0))
| isCountable0(sdtlcdtrc0(X1,sK31(szDzozmdt0(X1),X2,X0)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_751])]) ).
fof(f1856,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| aElementOf0(sK18(X1),szDzozmdt0(X1))
| ~ isCountable0(sK31(szDzozmdt0(X1),X2,X0))
| isCountable0(sdtlcdtrc0(X1,sK31(szDzozmdt0(X1),X2,X0)))
| ~ aFunction0(X1) )
| ~ spl33_163
| ~ spl33_173 ),
inference(resolution,[],[f1790,f1705]) ).
fof(f13397,plain,
( spl33_750
| ~ spl33_164
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1855,f1789,f1708,f13395]) ).
fof(f13395,plain,
( spl33_750
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| aElementOf0(sK19(X1),szDzozmdt0(X1))
| ~ isCountable0(sK31(szDzozmdt0(X1),X2,X0))
| isCountable0(sdtlcdtrc0(X1,sK31(szDzozmdt0(X1),X2,X0)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_750])]) ).
fof(f1855,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| aElementOf0(sK19(X1),szDzozmdt0(X1))
| ~ isCountable0(sK31(szDzozmdt0(X1),X2,X0))
| isCountable0(sdtlcdtrc0(X1,sK31(szDzozmdt0(X1),X2,X0)))
| ~ aFunction0(X1) )
| ~ spl33_164
| ~ spl33_173 ),
inference(resolution,[],[f1790,f1709]) ).
fof(f13391,plain,
( spl33_749
| ~ spl33_72
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2146,f2140,f918,f13389]) ).
fof(f13389,plain,
( spl33_749
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_749])]) ).
fof(f918,plain,
( spl33_72
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_72])]) ).
fof(f2146,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ spl33_72
| ~ spl33_193 ),
inference(resolution,[],[f2141,f919]) ).
fof(f919,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_72 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f13343,plain,
( ~ spl33_7
| spl33_748
| ~ spl33_102
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2133,f2116,f1117,f13341,f558]) ).
fof(f13341,plain,
( spl33_748
<=> ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sK15(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK15(X0,X1,szNzAzT0)))
| sz00 = sK15(X0,X1,szNzAzT0)
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_748])]) ).
fof(f1117,plain,
( spl33_102
<=> ! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_102])]) ).
fof(f2133,plain,
( ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK15(X0,X1,szNzAzT0)
| sK15(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK15(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_191 ),
inference(resolution,[],[f2117,f1118]) ).
fof(f1118,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK21(X0)) = X0 )
| ~ spl33_102 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f13339,plain,
( spl33_747
| ~ spl33_154
| ~ spl33_183 ),
inference(avatar_split_clause,[],[f2036,f1992,f1486,f13337]) ).
fof(f13337,plain,
( spl33_747
<=> ! [X0,X3,X2,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X3,slbdtsldtrb0(sK31(X1,X2,X0),X2))
| ~ aSubsetOf0(X3,X0)
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2))
| ~ aSet0(X0)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_747])]) ).
fof(f2036,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X3,slbdtsldtrb0(sK31(X1,X2,X0),X2))
| ~ aSubsetOf0(X3,X0)
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2))
| ~ aSet0(X0)
| ~ aSet0(X3) )
| ~ spl33_154
| ~ spl33_183 ),
inference(resolution,[],[f1993,f1487]) ).
fof(f13195,plain,
( spl33_746
| ~ spl33_102
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2108,f2076,f1117,f13193]) ).
fof(f13193,plain,
( spl33_746
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sz00 = sK29(X0,szNzAzT0,X1)
| sK29(X0,szNzAzT0,X1) = szszuzczcdt0(sK21(sK29(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_746])]) ).
fof(f2108,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sz00 = sK29(X0,szNzAzT0,X1)
| sK29(X0,szNzAzT0,X1) = szszuzczcdt0(sK21(sK29(X0,szNzAzT0,X1))) )
| ~ spl33_102
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1118]) ).
fof(f13191,plain,
( spl33_745
| ~ spl33_102
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2094,f2076,f1117,f13189]) ).
fof(f13189,plain,
( spl33_745
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sz00 = sK29(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK29(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_745])]) ).
fof(f2094,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sz00 = sK29(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK29(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1118]) ).
fof(f13187,plain,
( spl33_744
| ~ spl33_156
| ~ spl33_187 ),
inference(avatar_split_clause,[],[f2064,f2047,f1494,f13185]) ).
fof(f13185,plain,
( spl33_744
<=> ! [X0,X1] :
( sP4(szmzazxdt0(X0),X1)
| ~ aElementOf0(sK22(szmzazxdt0(X0),X1),szNzAzT0)
| ~ aElementOf0(sK22(szmzazxdt0(X0),X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(szszuzczcdt0(sK22(szmzazxdt0(X0),X1)),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_744])]) ).
fof(f1494,plain,
( spl33_156
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_156])]) ).
fof(f2047,plain,
( spl33_187
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_187])]) ).
fof(f2064,plain,
( ! [X0,X1] :
( sP4(szmzazxdt0(X0),X1)
| ~ aElementOf0(sK22(szmzazxdt0(X0),X1),szNzAzT0)
| ~ aElementOf0(sK22(szmzazxdt0(X0),X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(szszuzczcdt0(sK22(szmzazxdt0(X0),X1)),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_156
| ~ spl33_187 ),
inference(resolution,[],[f2048,f1495]) ).
fof(f1495,plain,
( ! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_156 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f2048,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) )
| ~ spl33_187 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f13182,plain,
( spl33_743
| ~ spl33_161
| ~ spl33_164 ),
inference(avatar_split_clause,[],[f1734,f1708,f1636,f13180]) ).
fof(f13180,plain,
( spl33_743
<=> ! [X0,X1] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(sK30(szDzozmdt0(X0),X1))
| isCountable0(sdtlcdtrc0(X0,sK30(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(szDzozmdt0(X0)))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_743])]) ).
fof(f1734,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(sK30(szDzozmdt0(X0),X1))
| isCountable0(sdtlcdtrc0(X0,sK30(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(szDzozmdt0(X0)))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_161
| ~ spl33_164 ),
inference(resolution,[],[f1709,f1637]) ).
fof(f13178,plain,
( spl33_742
| ~ spl33_161
| ~ spl33_163 ),
inference(avatar_split_clause,[],[f1729,f1704,f1636,f13176]) ).
fof(f13176,plain,
( spl33_742
<=> ! [X0,X1] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(sK30(szDzozmdt0(X0),X1))
| isCountable0(sdtlcdtrc0(X0,sK30(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(szDzozmdt0(X0)))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_742])]) ).
fof(f1729,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(sK30(szDzozmdt0(X0),X1))
| isCountable0(sdtlcdtrc0(X0,sK30(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(szDzozmdt0(X0)))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_161
| ~ spl33_163 ),
inference(resolution,[],[f1705,f1637]) ).
fof(f13141,plain,
( spl33_741
| ~ spl33_96
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1892,f1802,f1054,f13139]) ).
fof(f13139,plain,
( spl33_741
<=> ! [X0] :
( aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(X0))),slbdtrb0(X0))
| szmzizndt0(slbdtrb0(szszuzczcdt0(X0))) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(X0))),szNzAzT0)
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_741])]) ).
fof(f1892,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(X0))),slbdtrb0(X0))
| szmzizndt0(slbdtrb0(szszuzczcdt0(X0))) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(slbdtrb0(szszuzczcdt0(X0))),szNzAzT0)
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(X0)),szNzAzT0) )
| ~ spl33_96
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1055]) ).
fof(f13137,plain,
( spl33_740
| ~ spl33_134
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1518,f1450,f1351,f13135]) ).
fof(f13135,plain,
( spl33_740
<=> ! [X0,X1] :
( sbrdtbr0(sdtlcdtrc0(X0,szDzozmdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlcdtrc0(X0,szDzozmdt0(X0)),sdtlpdtrp0(X0,X1))))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_740])]) ).
fof(f1450,plain,
( spl33_145
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_145])]) ).
fof(f1518,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtlcdtrc0(X0,szDzozmdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlcdtrc0(X0,szDzozmdt0(X0)),sdtlpdtrp0(X0,X1))))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_134
| ~ spl33_145 ),
inference(resolution,[],[f1451,f1352]) ).
fof(f1451,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_145 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f12955,plain,
( ~ spl33_9
| ~ spl33_428
| ~ spl33_63
| spl33_652 ),
inference(avatar_split_clause,[],[f12508,f10254,f853,f5098,f568]) ).
fof(f5098,plain,
( spl33_428
<=> aElement0(sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_428])]) ).
fof(f853,plain,
( spl33_63
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_63])]) ).
fof(f10254,plain,
( spl33_652
<=> aSet0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_652])]) ).
fof(f12508,plain,
( ~ aElement0(sK26(szDzozmdt0(xc)))
| ~ aSet0(slcrc0)
| ~ spl33_63
| spl33_652 ),
inference(resolution,[],[f10256,f854]) ).
fof(f854,plain,
( ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_63 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f10256,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))))
| spl33_652 ),
inference(avatar_component_clause,[],[f10254]) ).
fof(f12769,plain,
( spl33_739
| ~ spl33_84
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2135,f2116,f1005,f12767]) ).
fof(f12767,plain,
( spl33_739
<=> ! [X2,X0,X1] :
( sK15(X0,X1,szDzozmdt0(X2)) = sdtlpdtrp0(X0,sK16(X0,X1,szDzozmdt0(X2)))
| sP2(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK15(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_739])]) ).
fof(f1005,plain,
( spl33_84
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_84])]) ).
fof(f2135,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,szDzozmdt0(X2)) = sdtlpdtrp0(X0,sK16(X0,X1,szDzozmdt0(X2)))
| sP2(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK15(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_191 ),
inference(resolution,[],[f2117,f1006]) ).
fof(f1006,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_84 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f12765,plain,
( spl33_738
| ~ spl33_112
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2099,f2076,f1185,f12763]) ).
fof(f12763,plain,
( spl33_738
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sdtpldt0(sdtmndt0(X1,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X1
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_738])]) ).
fof(f2099,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sdtpldt0(sdtmndt0(X1,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X1
| ~ aSet0(X1) )
| ~ spl33_112
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1186]) ).
fof(f12761,plain,
( spl33_737
| ~ spl33_145
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2098,f2076,f1450,f12759]) ).
fof(f12759,plain,
( spl33_737
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK29(X0,X1,X2))))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_737])]) ).
fof(f2098,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK29(X0,X1,X2))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_145
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1451]) ).
fof(f12757,plain,
( spl33_736
| ~ spl33_61
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11002,f10262,f845,f12755]) ).
fof(f12755,plain,
( spl33_736
<=> ! [X0] :
( sP11(X0,szszuzczcdt0(sz00))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_736])]) ).
fof(f11002,plain,
( ! [X0] :
( sP11(X0,szszuzczcdt0(sz00))
| ~ aSet0(X0) )
| ~ spl33_61
| ~ spl33_654 ),
inference(resolution,[],[f10263,f846]) ).
fof(f12753,plain,
( spl33_735
| ~ spl33_112
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2085,f2076,f1185,f12751]) ).
fof(f12751,plain,
( spl33_735
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X1)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X2
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_735])]) ).
fof(f2085,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X1)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1186]) ).
fof(f12749,plain,
( spl33_734
| ~ spl33_145
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2084,f2076,f1450,f12747]) ).
fof(f12747,plain,
( spl33_734
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X1)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK29(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_734])]) ).
fof(f2084,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X1)
| sK29(X0,X1,X2) = X0
| sP9(X0,X1,X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK29(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1451]) ).
fof(f12739,plain,
( ~ spl33_7
| spl33_733
| ~ spl33_102
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2020,f1988,f1117,f12737,f558]) ).
fof(f12737,plain,
( spl33_733
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sK27(X1,X0,szNzAzT0) = szszuzczcdt0(sK21(sK27(X1,X0,szNzAzT0)))
| sz00 = sK27(X1,X0,szNzAzT0)
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_733])]) ).
fof(f2020,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK27(X1,X0,szNzAzT0)
| sK27(X1,X0,szNzAzT0) = szszuzczcdt0(sK21(sK27(X1,X0,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_182 ),
inference(resolution,[],[f1989,f1118]) ).
fof(f12735,plain,
( spl33_732
| ~ spl33_156
| ~ spl33_181 ),
inference(avatar_split_clause,[],[f2009,f1984,f1494,f12733]) ).
fof(f12733,plain,
( spl33_732
<=> ! [X0,X1] :
( szmzazxdt0(X0) = szmzazxdt0(X1)
| ~ aElementOf0(szmzazxdt0(X1),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sK23(X0,szmzazxdt0(X1)),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_732])]) ).
fof(f1984,plain,
( spl33_181
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK23(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_181])]) ).
fof(f2009,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = szmzazxdt0(X1)
| ~ aElementOf0(szmzazxdt0(X1),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sK23(X0,szmzazxdt0(X1)),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_156
| ~ spl33_181 ),
inference(resolution,[],[f1985,f1495]) ).
fof(f1985,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sK23(X0,X1),X1)
| szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_181 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f12731,plain,
( spl33_731
| ~ spl33_145
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1942,f1930,f1450,f12729]) ).
fof(f12729,plain,
( spl33_731
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(szDzozmdt0(X1)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(szDzozmdt0(X1),sK27(X0,X1,X2))))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_731])]) ).
fof(f1942,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(szDzozmdt0(X1)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(szDzozmdt0(X1),sK27(X0,X1,X2))))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_145
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1451]) ).
fof(f12727,plain,
( spl33_730
| ~ spl33_159
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1918,f1806,f1628,f12725]) ).
fof(f12725,plain,
( spl33_730
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(sK22(X1,X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(sK22(X1,X2)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK22(X1,X2),X2)
| sP4(X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_730])]) ).
fof(f1806,plain,
( spl33_177
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_177])]) ).
fof(f1918,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(sK22(X1,X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(sK22(X1,X2)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK22(X1,X2),X2)
| sP4(X1,X2)
| ~ aSet0(X2) )
| ~ spl33_159
| ~ spl33_177 ),
inference(resolution,[],[f1807,f1629]) ).
fof(f1807,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_177 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f12723,plain,
( spl33_729
| ~ spl33_74
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1895,f1802,f926,f12721]) ).
fof(f12721,plain,
( spl33_729
<=> ! [X0] :
( aElementOf0(sK26(slbdtrb0(szszuzczcdt0(X0))),slbdtrb0(X0))
| sK26(slbdtrb0(szszuzczcdt0(X0))) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK26(slbdtrb0(szszuzczcdt0(X0))),szNzAzT0)
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_729])]) ).
fof(f1895,plain,
( ! [X0] :
( aElementOf0(sK26(slbdtrb0(szszuzczcdt0(X0))),slbdtrb0(X0))
| sK26(slbdtrb0(szszuzczcdt0(X0))) = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK26(slbdtrb0(szszuzczcdt0(X0))),szNzAzT0)
| slcrc0 = slbdtrb0(szszuzczcdt0(X0))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_74
| ~ spl33_176 ),
inference(resolution,[],[f1803,f927]) ).
fof(f12719,plain,
( spl33_728
| ~ spl33_128
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1866,f1793,f1306,f12717]) ).
fof(f12717,plain,
( spl33_728
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sK32(X0,X1,X2) = X1
| ~ aSubsetOf0(X1,sK32(X0,X1,X2))
| ~ aSet0(sK32(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_728])]) ).
fof(f1866,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sK32(X0,X1,X2) = X1
| ~ aSubsetOf0(X1,sK32(X0,X1,X2))
| ~ aSet0(sK32(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl33_128
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1307]) ).
fof(f12715,plain,
( spl33_727
| ~ spl33_152
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1642,f1628,f1478,f12713]) ).
fof(f12713,plain,
( spl33_727
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| szszuzczcdt0(sK22(X0,X1)) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(sK22(X0,X1)))
| ~ aElementOf0(szszuzczcdt0(sK22(X0,X1)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_727])]) ).
fof(f1478,plain,
( spl33_152
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_152])]) ).
fof(f1642,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| szszuzczcdt0(sK22(X0,X1)) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(sK22(X0,X1)))
| ~ aElementOf0(szszuzczcdt0(sK22(X0,X1)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_152
| ~ spl33_159 ),
inference(resolution,[],[f1629,f1479]) ).
fof(f1479,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_152 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f12687,plain,
( ~ spl33_258
| ~ spl33_458
| spl33_726
| ~ spl33_66
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1763,f1720,f890,f12685,f5969,f2732]) ).
fof(f5969,plain,
( spl33_458
<=> isFinite0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_458])]) ).
fof(f12685,plain,
( spl33_726
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xK)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK30(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_726])]) ).
fof(f1763,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xK)
| sbrdtbr0(sK30(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)) = X0
| ~ isFinite0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ spl33_66
| ~ spl33_167 ),
inference(superposition,[],[f1721,f892]) ).
fof(f12683,plain,
( spl33_725
| ~ spl33_128
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1621,f1617,f1306,f12681]) ).
fof(f12681,plain,
( spl33_725
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xN,X0) = sdtlpdtrp0(xN,X1)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_725])]) ).
fof(f1617,plain,
( spl33_158
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_158])]) ).
fof(f1621,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xN,X0) = sdtlpdtrp0(xN,X1)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl33_128
| ~ spl33_158 ),
inference(resolution,[],[f1618,f1307]) ).
fof(f1618,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_158 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f12446,plain,
( spl33_724
| ~ spl33_145
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2138,f2116,f1450,f12444]) ).
fof(f12444,plain,
( spl33_724
<=> ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK15(X0,X1,X2))))
| ~ isFinite0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_724])]) ).
fof(f2138,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK15(X0,X1,X2))))
| ~ isFinite0(X2) )
| ~ spl33_145
| ~ spl33_191 ),
inference(duplicate_literal_removal,[],[f2123]) ).
fof(f2123,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK15(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_191 ),
inference(resolution,[],[f2117,f1451]) ).
fof(f12442,plain,
( spl33_723
| ~ spl33_112
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2137,f2116,f1185,f12440]) ).
fof(f12440,plain,
( spl33_723
<=> ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_723])]) ).
fof(f2137,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2 )
| ~ spl33_112
| ~ spl33_191 ),
inference(duplicate_literal_removal,[],[f2124]) ).
fof(f2124,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_191 ),
inference(resolution,[],[f2117,f1186]) ).
fof(f12438,plain,
( spl33_722
| ~ spl33_166
| ~ spl33_188 ),
inference(avatar_split_clause,[],[f2074,f2051,f1716,f12436]) ).
fof(f12436,plain,
( spl33_722
<=> ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| sbrdtbr0(sdtpldt0(X2,sK29(X0,X1,X2))) = szszuzczcdt0(sbrdtbr0(X2))
| ~ isFinite0(X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_722])]) ).
fof(f2074,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| sbrdtbr0(sdtpldt0(X2,sK29(X0,X1,X2))) = szszuzczcdt0(sbrdtbr0(X2))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_166
| ~ spl33_188 ),
inference(duplicate_literal_removal,[],[f2068]) ).
fof(f2068,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| sbrdtbr0(sdtpldt0(X2,sK29(X0,X1,X2))) = szszuzczcdt0(sbrdtbr0(X2))
| ~ aElement0(sK29(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_166
| ~ spl33_188 ),
inference(resolution,[],[f2052,f1717]) ).
fof(f12434,plain,
( spl33_721
| ~ spl33_137
| ~ spl33_188 ),
inference(avatar_split_clause,[],[f2073,f2051,f1363,f12432]) ).
fof(f12432,plain,
( spl33_721
<=> ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| sdtmndt0(sdtpldt0(X2,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X2
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_721])]) ).
fof(f2073,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| sdtmndt0(sdtpldt0(X2,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_137
| ~ spl33_188 ),
inference(duplicate_literal_removal,[],[f2069]) ).
fof(f2069,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| sdtmndt0(sdtpldt0(X2,sK29(X0,X1,X2)),sK29(X0,X1,X2)) = X2
| ~ aSet0(X2)
| ~ aElement0(sK29(X0,X1,X2)) )
| ~ spl33_137
| ~ spl33_188 ),
inference(resolution,[],[f2052,f1364]) ).
fof(f12430,plain,
( spl33_720
| ~ spl33_101
| ~ spl33_183 ),
inference(avatar_split_clause,[],[f2038,f1992,f1113,f12428]) ).
fof(f12428,plain,
( spl33_720
<=> ! [X0,X3,X2,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,X0)
| aElementOf0(X3,slbdtsldtrb0(sK31(X1,X2,X0),X2))
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_720])]) ).
fof(f2038,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,X0)
| aElementOf0(X3,slbdtsldtrb0(sK31(X1,X2,X0),X2))
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2)) )
| ~ spl33_101
| ~ spl33_183 ),
inference(resolution,[],[f1993,f1114]) ).
fof(f12403,plain,
( ~ spl33_7
| spl33_719
| ~ spl33_102
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1973,f1938,f1117,f12401,f558]) ).
fof(f12401,plain,
( spl33_719
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sK32(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK32(X0,X1,szNzAzT0)))
| sz00 = sK32(X0,X1,szNzAzT0)
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_719])]) ).
fof(f1973,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK32(X0,X1,szNzAzT0)
| sK32(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK32(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_179 ),
inference(resolution,[],[f1939,f1118]) ).
fof(f12399,plain,
( spl33_718
| ~ spl33_112
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1943,f1930,f1185,f12397]) ).
fof(f12397,plain,
( spl33_718
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| szDzozmdt0(X1) = sdtpldt0(sdtmndt0(szDzozmdt0(X1),sK27(X0,X1,X2)),sK27(X0,X1,X2))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_718])]) ).
fof(f1943,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| szDzozmdt0(X1) = sdtpldt0(sdtmndt0(szDzozmdt0(X1),sK27(X0,X1,X2)),sK27(X0,X1,X2))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_112
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1186]) ).
fof(f12395,plain,
( spl33_717
| ~ spl33_137
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1897,f1802,f1363,f12393]) ).
fof(f12393,plain,
( spl33_717
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(szszuzczcdt0(X1)) = sdtmndt0(sdtpldt0(slbdtrb0(szszuzczcdt0(X1)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_717])]) ).
fof(f1897,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(szszuzczcdt0(X1)) = sdtmndt0(sdtpldt0(slbdtrb0(szszuzczcdt0(X1)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aElement0(X0) )
| ~ spl33_137
| ~ spl33_176 ),
inference(resolution,[],[f1803,f1364]) ).
fof(f12391,plain,
( spl33_716
| ~ spl33_154
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1865,f1793,f1486,f12389]) ).
fof(f12389,plain,
( spl33_716
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aSubsetOf0(X3,X1)
| ~ aSubsetOf0(X3,sK32(X0,X1,X2))
| ~ aSet0(X1)
| ~ aSet0(sK32(X0,X1,X2))
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_716])]) ).
fof(f1865,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aSubsetOf0(X3,X1)
| ~ aSubsetOf0(X3,sK32(X0,X1,X2))
| ~ aSet0(X1)
| ~ aSet0(sK32(X0,X1,X2))
| ~ aSet0(X3) )
| ~ spl33_154
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1487]) ).
fof(f12387,plain,
( spl33_715
| ~ spl33_130
| ~ spl33_172 ),
inference(avatar_split_clause,[],[f1848,f1785,f1314,f12385]) ).
fof(f12385,plain,
( spl33_715
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = szmzizndt0(X0)
| ~ aElementOf0(szszuzczcdt0(X1),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK25(X0,szszuzczcdt0(X1)),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK25(X0,szszuzczcdt0(X1)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_715])]) ).
fof(f1314,plain,
( spl33_130
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_130])]) ).
fof(f1785,plain,
( spl33_172
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK25(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_172])]) ).
fof(f1848,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = szmzizndt0(X0)
| ~ aElementOf0(szszuzczcdt0(X1),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK25(X0,szszuzczcdt0(X1)),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK25(X0,szszuzczcdt0(X1)),szNzAzT0) )
| ~ spl33_130
| ~ spl33_172 ),
inference(resolution,[],[f1786,f1315]) ).
fof(f1315,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_130 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1786,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sK25(X0,X1))
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_172 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f12383,plain,
( spl33_714
| ~ spl33_145
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1593,f1482,f1450,f12381]) ).
fof(f12381,plain,
( spl33_714
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(szszuzczcdt0(X1))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X1)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_714])]) ).
fof(f1593,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(szszuzczcdt0(X1))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X1)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl33_145
| ~ spl33_153 ),
inference(resolution,[],[f1483,f1451]) ).
fof(f12240,plain,
( spl33_713
| ~ spl33_35
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f10999,f10262,f695,f12237]) ).
fof(f12237,plain,
( spl33_713
<=> sdtlseqdt0(szszuzczcdt0(sz00),szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_713])]) ).
fof(f10999,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),szszuzczcdt0(sz00))
| ~ spl33_35
| ~ spl33_654 ),
inference(resolution,[],[f10263,f696]) ).
fof(f12221,plain,
( spl33_712
| ~ spl33_84
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2110,f2076,f1005,f12219]) ).
fof(f12219,plain,
( spl33_712
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,szDzozmdt0(X1),X2),X2)
| sK29(X0,szDzozmdt0(X1),X2) = X0
| sP9(X0,szDzozmdt0(X1),X2)
| aElement0(sdtlpdtrp0(X1,sK29(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_712])]) ).
fof(f2110,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,szDzozmdt0(X1),X2),X2)
| sK29(X0,szDzozmdt0(X1),X2) = X0
| sP9(X0,szDzozmdt0(X1),X2)
| aElement0(sdtlpdtrp0(X1,sK29(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) )
| ~ spl33_84
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1006]) ).
fof(f12217,plain,
( spl33_711
| ~ spl33_84
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2096,f2076,f1005,f12215]) ).
fof(f12215,plain,
( spl33_711
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,szDzozmdt0(X2)),X1)
| sK29(X0,X1,szDzozmdt0(X2)) = X0
| sP9(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK29(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_711])]) ).
fof(f2096,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,szDzozmdt0(X2)),X1)
| sK29(X0,X1,szDzozmdt0(X2)) = X0
| sP9(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK29(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_189 ),
inference(resolution,[],[f2077,f1006]) ).
fof(f12213,plain,
( spl33_710
| ~ spl33_84
| ~ spl33_180 ),
inference(avatar_split_clause,[],[f2007,f1980,f1005,f12211]) ).
fof(f12211,plain,
( spl33_710
<=> ! [X0,X1] :
( szmzazxdt0(szDzozmdt0(X0)) = X1
| ~ aElementOf0(X1,szDzozmdt0(X0))
| slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,sK23(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_710])]) ).
fof(f2007,plain,
( ! [X0,X1] :
( szmzazxdt0(szDzozmdt0(X0)) = X1
| ~ aElementOf0(X1,szDzozmdt0(X0))
| slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,sK23(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_180 ),
inference(resolution,[],[f1981,f1006]) ).
fof(f12170,plain,
( ~ spl33_7
| spl33_709
| ~ spl33_102
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1885,f1793,f1117,f12168,f558]) ).
fof(f12168,plain,
( spl33_709
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sK32(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK32(X0,X1,szNzAzT0)))
| sz00 = sK32(X0,X1,szNzAzT0)
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_709])]) ).
fof(f1885,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK32(X0,X1,szNzAzT0)
| sK32(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK32(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1118]) ).
fof(f12166,plain,
( spl33_708
| ~ spl33_128
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1863,f1789,f1306,f12164]) ).
fof(f12164,plain,
( spl33_708
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sK31(X1,X2,X0) = X1
| ~ aSubsetOf0(X1,sK31(X1,X2,X0))
| ~ aSet0(sK31(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_708])]) ).
fof(f1863,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sK31(X1,X2,X0) = X1
| ~ aSubsetOf0(X1,sK31(X1,X2,X0))
| ~ aSet0(sK31(X1,X2,X0)) )
| ~ spl33_128
| ~ spl33_173 ),
inference(duplicate_literal_removal,[],[f1851]) ).
fof(f1851,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sK31(X1,X2,X0) = X1
| ~ aSubsetOf0(X1,sK31(X1,X2,X0))
| ~ aSet0(sK31(X1,X2,X0))
| ~ aSet0(X1) )
| ~ spl33_128
| ~ spl33_173 ),
inference(resolution,[],[f1790,f1307]) ).
fof(f12111,plain,
( ~ spl33_7
| spl33_707
| ~ spl33_102
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1831,f1777,f1117,f12109,f558]) ).
fof(f12109,plain,
( spl33_707
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sK15(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK15(X0,X1,szNzAzT0)))
| sz00 = sK15(X0,X1,szNzAzT0)
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_707])]) ).
fof(f1831,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sz00 = sK15(X0,X1,szNzAzT0)
| sK15(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK15(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1118]) ).
fof(f12107,plain,
( spl33_706
| ~ spl33_115
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1596,f1482,f1197,f12105]) ).
fof(f12105,plain,
( spl33_706
<=> ! [X0,X1] :
( ~ aElementOf0(sK20(slbdtrb0(szszuzczcdt0(X0)),X1),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK20(slbdtrb0(szszuzczcdt0(X0)),X1),szNzAzT0)
| aSubsetOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_706])]) ).
fof(f1197,plain,
( spl33_115
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_115])]) ).
fof(f1596,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK20(slbdtrb0(szszuzczcdt0(X0)),X1),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK20(slbdtrb0(szszuzczcdt0(X0)),X1),szNzAzT0)
| aSubsetOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_115
| ~ spl33_153 ),
inference(resolution,[],[f1483,f1198]) ).
fof(f1198,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK20(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_115 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f12065,plain,
( ~ spl33_14
| ~ spl33_16
| ~ spl33_5
| ~ spl33_704
| spl33_705
| ~ spl33_29
| ~ spl33_199 ),
inference(avatar_split_clause,[],[f2196,f2193,f668,f12063,f12059,f548,f604,f594]) ).
fof(f548,plain,
( spl33_5
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f12059,plain,
( spl33_704
<=> iLess0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_704])]) ).
fof(f12063,plain,
( spl33_705
<=> ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xc)
| ~ aFunction0(X0)
| isCountable0(sK13(xK,xS,X0))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_705])]) ).
fof(f668,plain,
( spl33_29
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f2193,plain,
( spl33_199
<=> ! [X2,X0,X1] :
( isCountable0(sK13(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_199])]) ).
fof(f2196,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xc)
| ~ iLess0(xK,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| isCountable0(sK13(xK,xS,X0))
| ~ aFunction0(X0)
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aElementOf0(xK,szNzAzT0) )
| ~ spl33_29
| ~ spl33_199 ),
inference(superposition,[],[f2194,f670]) ).
fof(f670,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl33_29 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f2194,plain,
( ! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| isCountable0(sK13(X0,X1,X2))
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_199 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f12057,plain,
( spl33_703
| ~ spl33_154
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1620,f1617,f1486,f12055]) ).
fof(f12055,plain,
( spl33_703
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_703])]) ).
fof(f1620,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(X2) )
| ~ spl33_154
| ~ spl33_158 ),
inference(resolution,[],[f1618,f1487]) ).
fof(f11956,plain,
( ~ spl33_7
| spl33_702
| ~ spl33_60
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2131,f2116,f841,f11954,f558]) ).
fof(f11954,plain,
( spl33_702
<=> ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sK15(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK15(X0,X1,szNzAzT0)))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_702])]) ).
fof(f841,plain,
( spl33_60
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_60])]) ).
fof(f2131,plain,
( ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK15(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK15(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_191 ),
inference(resolution,[],[f2117,f842]) ).
fof(f842,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl33_60 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f11952,plain,
( spl33_701
| ~ spl33_112
| ~ spl33_180 ),
inference(avatar_split_clause,[],[f1996,f1980,f1185,f11950]) ).
fof(f11950,plain,
( spl33_701
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,sK23(X0,X1)),sK23(X0,X1)) = X0
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_701])]) ).
fof(f1996,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,sK23(X0,X1)),sK23(X0,X1)) = X0
| ~ aSet0(X0) )
| ~ spl33_112
| ~ spl33_180 ),
inference(resolution,[],[f1981,f1186]) ).
fof(f11948,plain,
( spl33_700
| ~ spl33_139
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1917,f1806,f1371,f11946]) ).
fof(f11946,plain,
( spl33_700
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_700])]) ).
fof(f1371,plain,
( spl33_139
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_139])]) ).
fof(f1917,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl33_139
| ~ spl33_177 ),
inference(resolution,[],[f1807,f1372]) ).
fof(f1372,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_139 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f11944,plain,
( spl33_699
| ~ spl33_156
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1912,f1806,f1494,f11942]) ).
fof(f11942,plain,
( spl33_699
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,szmzazxdt0(X1))
| ~ sdtlseqdt0(X0,X2)
| ~ aElementOf0(szmzazxdt0(X1),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_699])]) ).
fof(f1912,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,szmzazxdt0(X1))
| ~ sdtlseqdt0(X0,X2)
| ~ aElementOf0(szmzazxdt0(X1),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_156
| ~ spl33_177 ),
inference(resolution,[],[f1807,f1495]) ).
fof(f11940,plain,
( spl33_698
| ~ spl33_154
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1864,f1789,f1486,f11938]) ).
fof(f11938,plain,
( spl33_698
<=> ! [X0,X3,X2,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X3,X1)
| ~ aSubsetOf0(X3,sK31(X1,X2,X0))
| ~ aSet0(sK31(X1,X2,X0))
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_698])]) ).
fof(f1864,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X3,X1)
| ~ aSubsetOf0(X3,sK31(X1,X2,X0))
| ~ aSet0(sK31(X1,X2,X0))
| ~ aSet0(X3) )
| ~ spl33_154
| ~ spl33_173 ),
inference(duplicate_literal_removal,[],[f1850]) ).
fof(f1850,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X3,X1)
| ~ aSubsetOf0(X3,sK31(X1,X2,X0))
| ~ aSet0(X1)
| ~ aSet0(sK31(X1,X2,X0))
| ~ aSet0(X3) )
| ~ spl33_154
| ~ spl33_173 ),
inference(resolution,[],[f1790,f1487]) ).
fof(f11936,plain,
( spl33_697
| ~ spl33_112
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1386,f1351,f1185,f11934]) ).
fof(f11934,plain,
( spl33_697
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| sdtlcdtrc0(X1,szDzozmdt0(X1)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(X1,szDzozmdt0(X1)),sdtlpdtrp0(X1,X0)),sdtlpdtrp0(X1,X0))
| ~ aSet0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_697])]) ).
fof(f1386,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| sdtlcdtrc0(X1,szDzozmdt0(X1)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(X1,szDzozmdt0(X1)),sdtlpdtrp0(X1,X0)),sdtlpdtrp0(X1,X0))
| ~ aSet0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
| ~ spl33_112
| ~ spl33_134 ),
inference(resolution,[],[f1352,f1186]) ).
fof(f11399,plain,
( spl33_696
| ~ spl33_60
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2106,f2076,f841,f11397]) ).
fof(f11397,plain,
( spl33_696
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sK29(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK29(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_696])]) ).
fof(f2106,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sK29(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK29(X0,szNzAzT0,X1))) )
| ~ spl33_60
| ~ spl33_189 ),
inference(resolution,[],[f2077,f842]) ).
fof(f11395,plain,
( spl33_695
| ~ spl33_60
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2092,f2076,f841,f11393]) ).
fof(f11393,plain,
( spl33_695
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK29(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_695])]) ).
fof(f2092,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK29(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_189 ),
inference(resolution,[],[f2077,f842]) ).
fof(f11391,plain,
( spl33_694
| ~ spl33_139
| ~ spl33_187 ),
inference(avatar_split_clause,[],[f2065,f2047,f1371,f11389]) ).
fof(f11389,plain,
( spl33_694
<=> ! [X0,X1] :
( sP4(szszuzczcdt0(X0),X1)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),szNzAzT0)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),X1)
| ~ aSet0(X1)
| ~ sdtlseqdt0(sK22(szszuzczcdt0(X0),X1),X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_694])]) ).
fof(f2065,plain,
( ! [X0,X1] :
( sP4(szszuzczcdt0(X0),X1)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),szNzAzT0)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),X1)
| ~ aSet0(X1)
| ~ sdtlseqdt0(sK22(szszuzczcdt0(X0),X1),X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_139
| ~ spl33_187 ),
inference(duplicate_literal_removal,[],[f2063]) ).
fof(f2063,plain,
( ! [X0,X1] :
( sP4(szszuzczcdt0(X0),X1)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),szNzAzT0)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),X1)
| ~ aSet0(X1)
| ~ sdtlseqdt0(sK22(szszuzczcdt0(X0),X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),szNzAzT0) )
| ~ spl33_139
| ~ spl33_187 ),
inference(resolution,[],[f2048,f1372]) ).
fof(f11387,plain,
( spl33_693
| ~ spl33_145
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2025,f1988,f1450,f11385]) ).
fof(f11385,plain,
( spl33_693
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK27(X1,X0,X2))))
| ~ isFinite0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_693])]) ).
fof(f2025,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK27(X1,X0,X2))))
| ~ isFinite0(X2) )
| ~ spl33_145
| ~ spl33_182 ),
inference(duplicate_literal_removal,[],[f2010]) ).
fof(f2010,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK27(X1,X0,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_182 ),
inference(resolution,[],[f1989,f1451]) ).
fof(f11383,plain,
( spl33_692
| ~ spl33_112
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2024,f1988,f1185,f11381]) ).
fof(f11381,plain,
( spl33_692
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK27(X1,X0,X2)),sK27(X1,X0,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_692])]) ).
fof(f2024,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK27(X1,X0,X2)),sK27(X1,X0,X2)) = X2 )
| ~ spl33_112
| ~ spl33_182 ),
inference(duplicate_literal_removal,[],[f2011]) ).
fof(f2011,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK27(X1,X0,X2)),sK27(X1,X0,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_182 ),
inference(resolution,[],[f1989,f1186]) ).
fof(f11379,plain,
( spl33_691
| ~ spl33_84
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2022,f1988,f1005,f11377]) ).
fof(f11377,plain,
( spl33_691
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szDzozmdt0(X2))) = X1
| sP6(X1,X0,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK27(X1,X0,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_691])]) ).
fof(f2022,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szDzozmdt0(X2))) = X1
| sP6(X1,X0,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK27(X1,X0,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_182 ),
inference(resolution,[],[f1989,f1006]) ).
fof(f11375,plain,
( spl33_690
| ~ spl33_250
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11005,f10262,f2631,f11372]) ).
fof(f11005,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ spl33_250
| ~ spl33_654 ),
inference(resolution,[],[f10263,f2632]) ).
fof(f11370,plain,
( spl33_689
| ~ spl33_145
| ~ spl33_180 ),
inference(avatar_split_clause,[],[f2008,f1980,f1450,f11368]) ).
fof(f11368,plain,
( spl33_689
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK23(X0,X1))))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_689])]) ).
fof(f2008,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK23(X0,X1))))
| ~ aSet0(X0) )
| ~ spl33_145
| ~ spl33_180 ),
inference(duplicate_literal_removal,[],[f1995]) ).
fof(f1995,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK23(X0,X1))))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_145
| ~ spl33_180 ),
inference(resolution,[],[f1981,f1451]) ).
fof(f11366,plain,
( spl33_688
| ~ spl33_131
| ~ spl33_172 ),
inference(avatar_split_clause,[],[f1849,f1785,f1318,f11364]) ).
fof(f11364,plain,
( spl33_688
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sK25(X0,szmzizndt0(X1)),X1)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_688])]) ).
fof(f1318,plain,
( spl33_131
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_131])]) ).
fof(f1849,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sK25(X0,szmzizndt0(X1)),X1)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_131
| ~ spl33_172 ),
inference(resolution,[],[f1786,f1319]) ).
fof(f1319,plain,
( ! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_131 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f11267,plain,
( ~ spl33_282
| spl33_255
| spl33_687
| ~ spl33_102
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1846,f1781,f1117,f11265,f2684,f2896]) ).
fof(f2896,plain,
( spl33_282
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_282])]) ).
fof(f2684,plain,
( spl33_255
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_255])]) ).
fof(f11265,plain,
( spl33_687
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sK25(szNzAzT0,X0) = szszuzczcdt0(sK21(sK25(szNzAzT0,X0)))
| sz00 = sK25(szNzAzT0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_687])]) ).
fof(f1846,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sz00 = sK25(szNzAzT0,X0)
| sK25(szNzAzT0,X0) = szszuzczcdt0(sK21(sK25(szNzAzT0,X0))) )
| ~ spl33_102
| ~ spl33_171 ),
inference(resolution,[],[f1782,f1118]) ).
fof(f11263,plain,
( spl33_686
| ~ spl33_145
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1836,f1781,f1450,f11261]) ).
fof(f11261,plain,
( spl33_686
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK25(X0,X1))))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_686])]) ).
fof(f1836,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK25(X0,X1))))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_145
| ~ spl33_171 ),
inference(resolution,[],[f1782,f1451]) ).
fof(f11259,plain,
( spl33_685
| ~ spl33_112
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1810,f1777,f1185,f11257]) ).
fof(f11257,plain,
( spl33_685
<=> ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X1,sK16(X0,X1,X2)),sK16(X0,X1,X2)) = X1
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_685])]) ).
fof(f1810,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X1,sK16(X0,X1,X2)),sK16(X0,X1,X2)) = X1
| ~ aSet0(X1) )
| ~ spl33_112
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1186]) ).
fof(f11255,plain,
( spl33_684
| ~ spl33_145
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1809,f1777,f1450,f11253]) ).
fof(f11253,plain,
( spl33_684
<=> ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK16(X0,X1,X2))))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_684])]) ).
fof(f1809,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK16(X0,X1,X2))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_145
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1451]) ).
fof(f11251,plain,
( spl33_683
| ~ spl33_130
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1758,f1720,f1314,f11249]) ).
fof(f11249,plain,
( spl33_683
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = sbrdtbr0(sK30(X0,szszuzczcdt0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_683])]) ).
fof(f1758,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = sbrdtbr0(sK30(X0,szszuzczcdt0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) )
| ~ spl33_130
| ~ spl33_167 ),
inference(resolution,[],[f1721,f1315]) ).
fof(f11247,plain,
( spl33_682
| ~ spl33_102
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1680,f1632,f1117,f11245]) ).
fof(f11245,plain,
( spl33_682
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sz00 = sK28(X0,szNzAzT0,X1)
| sK28(X0,szNzAzT0,X1) = szszuzczcdt0(sK21(sK28(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_682])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sz00 = sK28(X0,szNzAzT0,X1)
| sK28(X0,szNzAzT0,X1) = szszuzczcdt0(sK21(sK28(X0,szNzAzT0,X1))) )
| ~ spl33_102
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1118]) ).
fof(f11243,plain,
( spl33_681
| ~ spl33_102
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1668,f1632,f1117,f11241]) ).
fof(f11241,plain,
( spl33_681
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sz00 = sK28(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK28(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_681])]) ).
fof(f1668,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sz00 = sK28(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK28(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1118]) ).
fof(f11239,plain,
( spl33_680
| ~ spl33_221
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11004,f10262,f2330,f11236]) ).
fof(f11236,plain,
( spl33_680
<=> sP5(szszuzczcdt0(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_680])]) ).
fof(f11004,plain,
( sP5(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ spl33_221
| ~ spl33_654 ),
inference(resolution,[],[f10263,f2331]) ).
fof(f11234,plain,
( spl33_679
| ~ spl33_140
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1641,f1628,f1375,f11232]) ).
fof(f11232,plain,
( spl33_679
<=> ! [X0,X1] :
( aElementOf0(sK22(szszuzczcdt0(X0),X1),X1)
| sP4(szszuzczcdt0(X0),X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK22(szszuzczcdt0(X0),X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_679])]) ).
fof(f1375,plain,
( spl33_140
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_140])]) ).
fof(f1641,plain,
( ! [X0,X1] :
( aElementOf0(sK22(szszuzczcdt0(X0),X1),X1)
| sP4(szszuzczcdt0(X0),X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK22(szszuzczcdt0(X0),X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK22(szszuzczcdt0(X0),X1),szNzAzT0) )
| ~ spl33_140
| ~ spl33_159 ),
inference(resolution,[],[f1629,f1376]) ).
fof(f1376,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_140 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f11230,plain,
( spl33_678
| ~ spl33_112
| ~ spl33_155 ),
inference(avatar_split_clause,[],[f1609,f1490,f1185,f11228]) ).
fof(f11228,plain,
( spl33_678
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| szDzozmdt0(X0) = sdtpldt0(sdtmndt0(szDzozmdt0(X0),sK14(X0,X1,szDzozmdt0(X0))),sK14(X0,X1,szDzozmdt0(X0)))
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_678])]) ).
fof(f1490,plain,
( spl33_155
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_155])]) ).
fof(f1609,plain,
( ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| szDzozmdt0(X0) = sdtpldt0(sdtmndt0(szDzozmdt0(X0),sK14(X0,X1,szDzozmdt0(X0))),sK14(X0,X1,szDzozmdt0(X0)))
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_112
| ~ spl33_155 ),
inference(resolution,[],[f1491,f1186]) ).
fof(f1491,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_155 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f11226,plain,
( spl33_677
| ~ spl33_145
| ~ spl33_155 ),
inference(avatar_split_clause,[],[f1608,f1490,f1450,f11224]) ).
fof(f11224,plain,
( spl33_677
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| sbrdtbr0(szDzozmdt0(X0)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(szDzozmdt0(X0),sK14(X0,X1,szDzozmdt0(X0)))))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_677])]) ).
fof(f1608,plain,
( ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| sbrdtbr0(szDzozmdt0(X0)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(szDzozmdt0(X0),sK14(X0,X1,szDzozmdt0(X0)))))
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_145
| ~ spl33_155 ),
inference(resolution,[],[f1491,f1451]) ).
fof(f11222,plain,
( spl33_676
| ~ spl33_139
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1582,f1478,f1371,f11220]) ).
fof(f11220,plain,
( spl33_676
<=> ! [X0,X1] :
( szszuzczcdt0(X0) = szszuzczcdt0(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_676])]) ).
fof(f1582,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) = szszuzczcdt0(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_139
| ~ spl33_152 ),
inference(resolution,[],[f1479,f1372]) ).
fof(f11176,plain,
( spl33_675
| ~ spl33_36
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f11000,f10262,f699,f11173]) ).
fof(f11173,plain,
( spl33_675
<=> sdtlseqdt0(sz00,szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_675])]) ).
fof(f11000,plain,
( sdtlseqdt0(sz00,szszuzczcdt0(sz00))
| ~ spl33_36
| ~ spl33_654 ),
inference(resolution,[],[f10263,f700]) ).
fof(f11067,plain,
( ~ spl33_7
| spl33_674
| ~ spl33_35
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2129,f2116,f695,f11065,f558]) ).
fof(f11065,plain,
( spl33_674
<=> ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sdtlseqdt0(sK15(X0,X1,szNzAzT0),sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_674])]) ).
fof(f2129,plain,
( ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK15(X0,X1,szNzAzT0),sK15(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_191 ),
inference(resolution,[],[f2117,f696]) ).
fof(f11063,plain,
( spl33_673
| ~ spl33_34
| ~ spl33_654 ),
inference(avatar_split_clause,[],[f10998,f10262,f691,f11060]) ).
fof(f11060,plain,
( spl33_673
<=> isFinite0(slbdtrb0(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_673])]) ).
fof(f10998,plain,
( isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ spl33_34
| ~ spl33_654 ),
inference(resolution,[],[f10263,f692]) ).
fof(f11058,plain,
( spl33_672
| ~ spl33_145
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1978,f1938,f1450,f11056]) ).
fof(f11056,plain,
( spl33_672
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK32(X0,X1,X2))))
| ~ isFinite0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_672])]) ).
fof(f1978,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK32(X0,X1,X2))))
| ~ isFinite0(X2) )
| ~ spl33_145
| ~ spl33_179 ),
inference(duplicate_literal_removal,[],[f1963]) ).
fof(f1963,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK32(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_179 ),
inference(resolution,[],[f1939,f1451]) ).
fof(f11054,plain,
( spl33_671
| ~ spl33_112
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1977,f1938,f1185,f11052]) ).
fof(f11052,plain,
( spl33_671
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK32(X0,X1,X2)),sK32(X0,X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_671])]) ).
fof(f1977,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK32(X0,X1,X2)),sK32(X0,X1,X2)) = X2 )
| ~ spl33_112
| ~ spl33_179 ),
inference(duplicate_literal_removal,[],[f1964]) ).
fof(f1964,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK32(X0,X1,X2)),sK32(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_179 ),
inference(resolution,[],[f1939,f1186]) ).
fof(f11050,plain,
( spl33_670
| ~ spl33_84
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1975,f1938,f1005,f11048]) ).
fof(f11048,plain,
( spl33_670
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,szDzozmdt0(X2))) = X0
| sP10(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK32(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_670])]) ).
fof(f1975,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,szDzozmdt0(X2))) = X0
| sP10(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK32(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_179 ),
inference(resolution,[],[f1939,f1006]) ).
fof(f11046,plain,
( spl33_669
| ~ spl33_145
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1962,f1930,f1450,f11044]) ).
fof(f11044,plain,
( spl33_669
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK27(X0,X1,X2))))
| ~ isFinite0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_669])]) ).
fof(f1962,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK27(X0,X1,X2))))
| ~ isFinite0(X2) )
| ~ spl33_145
| ~ spl33_178 ),
inference(duplicate_literal_removal,[],[f1945]) ).
fof(f1945,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK27(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1451]) ).
fof(f11042,plain,
( spl33_668
| ~ spl33_112
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1961,f1930,f1185,f11040]) ).
fof(f11040,plain,
( spl33_668
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK27(X0,X1,X2)),sK27(X0,X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_668])]) ).
fof(f1961,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK27(X0,X1,X2)),sK27(X0,X1,X2)) = X2 )
| ~ spl33_112
| ~ spl33_178 ),
inference(duplicate_literal_removal,[],[f1946]) ).
fof(f1946,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK27(X0,X1,X2)),sK27(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1186]) ).
fof(f11038,plain,
( spl33_667
| ~ spl33_84
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1957,f1930,f1005,f11036]) ).
fof(f11036,plain,
( spl33_667
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,szDzozmdt0(X2)),szDzozmdt0(X1))
| sP6(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK27(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_667])]) ).
fof(f1957,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,szDzozmdt0(X2)),szDzozmdt0(X1))
| sP6(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK27(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1006]) ).
fof(f11034,plain,
( spl33_666
| ~ spl33_131
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1920,f1806,f1318,f11032]) ).
fof(f11032,plain,
( spl33_666
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szmzizndt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X2)
| slcrc0 = X2
| ~ aSubsetOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_666])]) ).
fof(f1920,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szmzizndt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X2)
| slcrc0 = X2
| ~ aSubsetOf0(X2,szNzAzT0) )
| ~ spl33_131
| ~ spl33_177 ),
inference(resolution,[],[f1807,f1319]) ).
fof(f11030,plain,
( spl33_665
| ~ spl33_113
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1919,f1806,f1189,f11028]) ).
fof(f11028,plain,
( spl33_665
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ sdtlseqdt0(X0,sbrdtbr0(X2))
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_665])]) ).
fof(f1919,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ sdtlseqdt0(X0,sbrdtbr0(X2))
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_113
| ~ spl33_177 ),
inference(resolution,[],[f1807,f1190]) ).
fof(f11026,plain,
( spl33_664
| ~ spl33_84
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1847,f1781,f1005,f11024]) ).
fof(f11024,plain,
( spl33_664
<=> ! [X0,X1] :
( szmzizndt0(szDzozmdt0(X0)) = X1
| ~ aElementOf0(X1,szDzozmdt0(X0))
| slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,sK25(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_664])]) ).
fof(f1847,plain,
( ! [X0,X1] :
( szmzizndt0(szDzozmdt0(X0)) = X1
| ~ aElementOf0(X1,szDzozmdt0(X0))
| slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,sK25(szDzozmdt0(X0),X1)))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_171 ),
inference(resolution,[],[f1782,f1006]) ).
fof(f11022,plain,
( spl33_663
| ~ spl33_112
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1837,f1781,f1185,f11020]) ).
fof(f11020,plain,
( spl33_663
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,sK25(X0,X1)),sK25(X0,X1)) = X0
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_663])]) ).
fof(f1837,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,sK25(X0,X1)),sK25(X0,X1)) = X0
| ~ aSet0(X0) )
| ~ spl33_112
| ~ spl33_171 ),
inference(resolution,[],[f1782,f1186]) ).
fof(f10996,plain,
( spl33_662
| ~ spl33_131
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1761,f1720,f1318,f10994]) ).
fof(f10994,plain,
( spl33_662
<=> ! [X0,X1] :
( szmzizndt0(X1) = sbrdtbr0(sK30(X0,szmzizndt0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(szmzizndt0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),X1)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_662])]) ).
fof(f1761,plain,
( ! [X0,X1] :
( szmzizndt0(X1) = sbrdtbr0(sK30(X0,szmzizndt0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(szmzizndt0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),X1)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_131
| ~ spl33_167 ),
inference(resolution,[],[f1721,f1319]) ).
fof(f10992,plain,
( spl33_661
| ~ spl33_152
| ~ spl33_156 ),
inference(avatar_split_clause,[],[f1614,f1494,f1478,f10990]) ).
fof(f10990,plain,
( spl33_661
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| szmzazxdt0(X1) = X0
| ~ sdtlseqdt0(szmzazxdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_661])]) ).
fof(f1614,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| szmzazxdt0(X1) = X0
| ~ sdtlseqdt0(szmzazxdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(X1),szNzAzT0) )
| ~ spl33_152
| ~ spl33_156 ),
inference(resolution,[],[f1495,f1479]) ).
fof(f10988,plain,
( spl33_660
| ~ spl33_102
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1575,f1470,f1117,f10986]) ).
fof(f10986,plain,
( spl33_660
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sz00 = sK29(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK29(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_660])]) ).
fof(f1575,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sz00 = sK29(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK29(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_150 ),
inference(resolution,[],[f1471,f1118]) ).
fof(f10984,plain,
( spl33_659
| ~ spl33_102
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1560,f1462,f1117,f10982]) ).
fof(f10982,plain,
( spl33_659
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sz00 = sK28(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK28(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_659])]) ).
fof(f1560,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sz00 = sK28(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = szszuzczcdt0(sK21(sK28(X0,X1,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_148 ),
inference(resolution,[],[f1463,f1118]) ).
fof(f10978,plain,
( spl33_658
| ~ spl33_46
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2147,f2140,f762,f10976]) ).
fof(f10976,plain,
( spl33_658
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_658])]) ).
fof(f2147,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ spl33_46
| ~ spl33_193 ),
inference(resolution,[],[f2141,f763]) ).
fof(f10952,plain,
( ~ spl33_258
| ~ spl33_458
| spl33_657
| ~ spl33_66
| ~ spl33_113 ),
inference(avatar_split_clause,[],[f1253,f1189,f890,f10950,f5969,f2732]) ).
fof(f10950,plain,
( spl33_657
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xK)
| ~ aSubsetOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_657])]) ).
fof(f1253,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xK)
| ~ aSubsetOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isFinite0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ spl33_66
| ~ spl33_113 ),
inference(superposition,[],[f1190,f892]) ).
fof(f10936,plain,
( ~ spl33_17
| ~ spl33_51
| spl33_654 ),
inference(avatar_split_clause,[],[f10577,f10262,f782,f609]) ).
fof(f10577,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_51
| spl33_654 ),
inference(resolution,[],[f10264,f783]) ).
fof(f10264,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl33_654 ),
inference(avatar_component_clause,[],[f10262]) ).
fof(f10273,plain,
( ~ spl33_7
| spl33_656
| ~ spl33_61
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2132,f2116,f845,f10271,f558]) ).
fof(f10271,plain,
( spl33_656
<=> ! [X2,X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| ~ aSet0(X2)
| sP11(X2,sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_656])]) ).
fof(f2132,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP11(X2,sK15(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_191 ),
inference(resolution,[],[f2117,f846]) ).
fof(f10269,plain,
( spl33_655
| ~ spl33_35
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2104,f2076,f695,f10267]) ).
fof(f10267,plain,
( spl33_655
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sdtlseqdt0(sK29(X0,szNzAzT0,X1),sK29(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_655])]) ).
fof(f2104,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sdtlseqdt0(sK29(X0,szNzAzT0,X1),sK29(X0,szNzAzT0,X1)) )
| ~ spl33_35
| ~ spl33_189 ),
inference(resolution,[],[f2077,f696]) ).
fof(f10265,plain,
( ~ spl33_652
| spl33_653
| ~ spl33_654
| ~ spl33_58
| ~ spl33_495 ),
inference(avatar_split_clause,[],[f6810,f6665,f833,f10262,f10258,f10254]) ).
fof(f10258,plain,
( spl33_653
<=> isFinite0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_653])]) ).
fof(f833,plain,
( spl33_58
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_58])]) ).
fof(f6665,plain,
( spl33_495
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_495])]) ).
fof(f6810,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| isFinite0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))))
| ~ aSet0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))))
| ~ spl33_58
| ~ spl33_495 ),
inference(superposition,[],[f834,f6667]) ).
fof(f6667,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))))
| ~ spl33_495 ),
inference(avatar_component_clause,[],[f6665]) ).
fof(f834,plain,
( ! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_58 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f10252,plain,
( spl33_651
| ~ spl33_35
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2090,f2076,f695,f10250]) ).
fof(f10250,plain,
( spl33_651
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sK29(X0,X1,szNzAzT0),sK29(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_651])]) ).
fof(f2090,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sK29(X0,X1,szNzAzT0),sK29(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_189 ),
inference(resolution,[],[f2077,f696]) ).
fof(f10248,plain,
( spl33_650
| ~ spl33_168
| ~ spl33_183 ),
inference(avatar_split_clause,[],[f2041,f1992,f1724,f10246]) ).
fof(f10246,plain,
( spl33_650
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK31(sK31(X1,X2,X0),X2,X0))
| ~ aSet0(sK31(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_650])]) ).
fof(f2041,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK31(sK31(X1,X2,X0),X2,X0))
| ~ aSet0(sK31(X1,X2,X0)) )
| ~ spl33_168
| ~ spl33_183 ),
inference(duplicate_literal_removal,[],[f2035]) ).
fof(f2035,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ isFinite0(X0)
| isFinite0(sK31(sK31(X1,X2,X0),X2,X0))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(sK31(X1,X2,X0)) )
| ~ spl33_168
| ~ spl33_183 ),
inference(resolution,[],[f1993,f1725]) ).
fof(f10238,plain,
( ~ spl33_7
| spl33_649
| ~ spl33_60
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2018,f1988,f841,f10236,f558]) ).
fof(f10236,plain,
( spl33_649
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sK27(X1,X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK27(X1,X0,szNzAzT0)))
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_649])]) ).
fof(f2018,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK27(X1,X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK27(X1,X0,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_182 ),
inference(resolution,[],[f1989,f842]) ).
fof(f10234,plain,
( spl33_648
| ~ spl33_145
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1889,f1793,f1450,f10232]) ).
fof(f10232,plain,
( spl33_648
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK32(X0,X1,X2))))
| ~ isFinite0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_648])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK32(X0,X1,X2))))
| ~ isFinite0(X2) )
| ~ spl33_145
| ~ spl33_174 ),
inference(duplicate_literal_removal,[],[f1875]) ).
fof(f1875,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK32(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1451]) ).
fof(f10230,plain,
( spl33_647
| ~ spl33_112
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1888,f1793,f1185,f10228]) ).
fof(f10228,plain,
( spl33_647
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK32(X0,X1,X2)),sK32(X0,X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_647])]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK32(X0,X1,X2)),sK32(X0,X1,X2)) = X2 )
| ~ spl33_112
| ~ spl33_174 ),
inference(duplicate_literal_removal,[],[f1876]) ).
fof(f1876,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK32(X0,X1,X2)),sK32(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1186]) ).
fof(f10226,plain,
( spl33_646
| ~ spl33_84
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1886,f1793,f1005,f10224]) ).
fof(f10224,plain,
( spl33_646
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,szDzozmdt0(X2)),X1)
| sP10(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK32(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_646])]) ).
fof(f1886,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,szDzozmdt0(X2)),X1)
| sP10(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK32(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1006]) ).
fof(f10222,plain,
( spl33_645
| ~ spl33_145
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1835,f1777,f1450,f10220]) ).
fof(f10220,plain,
( spl33_645
<=> ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK15(X0,X1,X2))))
| ~ isFinite0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_645])]) ).
fof(f1835,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK15(X0,X1,X2))))
| ~ isFinite0(X2) )
| ~ spl33_145
| ~ spl33_170 ),
inference(duplicate_literal_removal,[],[f1821]) ).
fof(f1821,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK15(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1451]) ).
fof(f10218,plain,
( spl33_644
| ~ spl33_112
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1834,f1777,f1185,f10216]) ).
fof(f10216,plain,
( spl33_644
<=> ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_644])]) ).
fof(f1834,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2 )
| ~ spl33_112
| ~ spl33_170 ),
inference(duplicate_literal_removal,[],[f1822]) ).
fof(f1822,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1186]) ).
fof(f10214,plain,
( spl33_643
| ~ spl33_84
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1832,f1777,f1005,f10212]) ).
fof(f10212,plain,
( spl33_643
<=> ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,szDzozmdt0(X2)),X1)
| sP2(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK15(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_643])]) ).
fof(f1832,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,szDzozmdt0(X2)),X1)
| sP2(X0,X1,szDzozmdt0(X2))
| ~ aSet0(szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK15(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1006]) ).
fof(f10206,plain,
( spl33_642
| ~ spl33_154
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1694,f1636,f1486,f10204]) ).
fof(f10204,plain,
( spl33_642
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X2,sK30(X1,X0))
| ~ aSet0(sK30(X1,X0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_642])]) ).
fof(f1694,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X2,sK30(X1,X0))
| ~ aSet0(sK30(X1,X0))
| ~ aSet0(X2) )
| ~ spl33_154
| ~ spl33_161 ),
inference(duplicate_literal_removal,[],[f1683]) ).
fof(f1683,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X2,sK30(X1,X0))
| ~ aSet0(X1)
| ~ aSet0(sK30(X1,X0))
| ~ aSet0(X2) )
| ~ spl33_154
| ~ spl33_161 ),
inference(resolution,[],[f1637,f1487]) ).
fof(f10202,plain,
( spl33_641
| ~ spl33_128
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1693,f1636,f1306,f10200]) ).
fof(f10200,plain,
( spl33_641
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| sK30(X1,X0) = X1
| ~ aSubsetOf0(X1,sK30(X1,X0))
| ~ aSet0(sK30(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_641])]) ).
fof(f1693,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| sK30(X1,X0) = X1
| ~ aSubsetOf0(X1,sK30(X1,X0))
| ~ aSet0(sK30(X1,X0)) )
| ~ spl33_128
| ~ spl33_161 ),
inference(duplicate_literal_removal,[],[f1684]) ).
fof(f1684,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| sK30(X1,X0) = X1
| ~ aSubsetOf0(X1,sK30(X1,X0))
| ~ aSet0(sK30(X1,X0))
| ~ aSet0(X1) )
| ~ spl33_128
| ~ spl33_161 ),
inference(resolution,[],[f1637,f1307]) ).
fof(f10198,plain,
( spl33_640
| ~ spl33_112
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1671,f1632,f1185,f10196]) ).
fof(f10196,plain,
( spl33_640
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X1,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X1
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_640])]) ).
fof(f1671,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X1,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X1
| ~ aSet0(X1) )
| ~ spl33_112
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1186]) ).
fof(f10194,plain,
( spl33_639
| ~ spl33_145
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1670,f1632,f1450,f10192]) ).
fof(f10192,plain,
( spl33_639
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK28(X0,X1,X2))))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_639])]) ).
fof(f1670,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK28(X0,X1,X2))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_145
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1451]) ).
fof(f10190,plain,
( spl33_638
| ~ spl33_112
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1659,f1632,f1185,f10188]) ).
fof(f10188,plain,
( spl33_638
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X1)
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X2
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_638])]) ).
fof(f1659,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X1)
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK28(X0,X1,X2)),sK28(X0,X1,X2)) = X2
| ~ aSet0(X2) )
| ~ spl33_112
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1186]) ).
fof(f10186,plain,
( spl33_637
| ~ spl33_145
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1658,f1632,f1450,f10184]) ).
fof(f10184,plain,
( spl33_637
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X1)
| sP8(X0,X1,X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK28(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_637])]) ).
fof(f1658,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X1)
| sP8(X0,X1,X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK28(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) )
| ~ spl33_145
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1451]) ).
fof(f10182,plain,
( spl33_636
| ~ spl33_141
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1601,f1486,f1379,f10180]) ).
fof(f10180,plain,
( spl33_636
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
| ~ aSubsetOf0(X0,slbdtrb0(X2))
| ~ aSet0(slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X2))
| ~ aSet0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_636])]) ).
fof(f1379,plain,
( spl33_141
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_141])]) ).
fof(f1601,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
| ~ aSubsetOf0(X0,slbdtrb0(X2))
| ~ aSet0(slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X2))
| ~ aSet0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl33_141
| ~ spl33_154 ),
inference(resolution,[],[f1487,f1380]) ).
fof(f1380,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_141 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f10178,plain,
( spl33_635
| ~ spl33_112
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1594,f1482,f1185,f10176]) ).
fof(f10176,plain,
( spl33_635
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(szszuzczcdt0(X1)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X1)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_635])]) ).
fof(f1594,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(szszuzczcdt0(X1)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X1)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl33_112
| ~ spl33_153 ),
inference(resolution,[],[f1483,f1186]) ).
fof(f10174,plain,
( spl33_634
| ~ spl33_113
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1583,f1478,f1189,f10172]) ).
fof(f10172,plain,
( spl33_634
<=> ! [X0,X1] :
( sbrdtbr0(X0) = sbrdtbr0(X1)
| ~ sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X1))
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_634])]) ).
fof(f1583,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = sbrdtbr0(X1)
| ~ sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X1))
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_113
| ~ spl33_152 ),
inference(resolution,[],[f1479,f1190]) ).
fof(f10170,plain,
( spl33_633
| ~ spl33_128
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1428,f1379,f1306,f10168]) ).
fof(f10168,plain,
( spl33_633
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) = slbdtrb0(X1)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_633])]) ).
fof(f1428,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) = slbdtrb0(X1)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl33_128
| ~ spl33_141 ),
inference(resolution,[],[f1380,f1307]) ).
fof(f10166,plain,
( spl33_632
| ~ spl33_510 ),
inference(avatar_split_clause,[],[f7140,f7137,f10163]) ).
fof(f10163,plain,
( spl33_632
<=> sP0(xN,xN,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_632])]) ).
fof(f7137,plain,
( spl33_510
<=> ! [X0] :
( sdtlpdtrp0(xN,sK14(xN,X0,szNzAzT0)) != sdtlpdtrp0(X0,sK14(xN,X0,szNzAzT0))
| sP0(xN,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_510])]) ).
fof(f7140,plain,
( sP0(xN,xN,szNzAzT0)
| ~ spl33_510 ),
inference(equality_resolution,[],[f7138]) ).
fof(f7138,plain,
( ! [X0] :
( sdtlpdtrp0(xN,sK14(xN,X0,szNzAzT0)) != sdtlpdtrp0(X0,sK14(xN,X0,szNzAzT0))
| sP0(xN,X0,szNzAzT0) )
| ~ spl33_510 ),
inference(avatar_component_clause,[],[f7137]) ).
fof(f10159,plain,
( ~ spl33_184
| ~ spl33_258
| ~ spl33_630
| spl33_631
| ~ spl33_55
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1335,f1306,f817,f10156,f10152,f2732,f2027]) ).
fof(f10152,plain,
( spl33_630
<=> aSubsetOf0(xS,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_630])]) ).
fof(f10156,plain,
( spl33_631
<=> xS = sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_631])]) ).
fof(f1335,plain,
( xS = sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSubsetOf0(xS,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(xS)
| ~ spl33_55
| ~ spl33_128 ),
inference(resolution,[],[f1307,f819]) ).
fof(f9942,plain,
( ~ spl33_15
| ~ spl33_56
| spl33_619 ),
inference(avatar_split_clause,[],[f9834,f9821,f822,f599]) ).
fof(f9834,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_56
| spl33_619 ),
inference(resolution,[],[f9823,f823]) ).
fof(f9823,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| spl33_619 ),
inference(avatar_component_clause,[],[f9821]) ).
fof(f9881,plain,
( spl33_629
| ~ spl33_61
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2107,f2076,f845,f9879]) ).
fof(f9879,plain,
( spl33_629
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sP11(X2,sK29(X0,szNzAzT0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_629])]) ).
fof(f2107,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sP11(X2,sK29(X0,szNzAzT0,X1))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_189 ),
inference(resolution,[],[f2077,f846]) ).
fof(f9877,plain,
( spl33_628
| ~ spl33_61
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2093,f2076,f845,f9875]) ).
fof(f9875,plain,
( spl33_628
<=> ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sP11(X2,sK29(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_628])]) ).
fof(f2093,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sP11(X2,sK29(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_189 ),
inference(resolution,[],[f2077,f846]) ).
fof(f9867,plain,
( ~ spl33_7
| spl33_627
| ~ spl33_60
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1971,f1938,f841,f9865,f558]) ).
fof(f9865,plain,
( spl33_627
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sK32(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK32(X0,X1,szNzAzT0)))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_627])]) ).
fof(f1971,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK32(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK32(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_179 ),
inference(resolution,[],[f1939,f842]) ).
fof(f9863,plain,
( spl33_626
| ~ spl33_84
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1820,f1777,f1005,f9861]) ).
fof(f9861,plain,
( spl33_626
<=> ! [X2,X0,X1] :
( aElementOf0(sK15(X0,szDzozmdt0(X1),X2),X2)
| sP2(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| aElement0(sdtlpdtrp0(X1,sK16(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_626])]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK15(X0,szDzozmdt0(X1),X2),X2)
| sP2(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| aElement0(sdtlpdtrp0(X1,sK16(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) )
| ~ spl33_84
| ~ spl33_170 ),
inference(resolution,[],[f1778,f1006]) ).
fof(f9859,plain,
( spl33_625
| ~ spl33_84
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1749,f1716,f1005,f9857]) ).
fof(f9857,plain,
( spl33_625
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(szDzozmdt0(X0),X1)) = szszuzczcdt0(sbrdtbr0(szDzozmdt0(X0)))
| ~ aElement0(X1)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSet0(szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_625])]) ).
fof(f1749,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(szDzozmdt0(X0),X1)) = szszuzczcdt0(sbrdtbr0(szDzozmdt0(X0)))
| ~ aElement0(X1)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSet0(szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_166 ),
inference(resolution,[],[f1717,f1006]) ).
fof(f9855,plain,
( spl33_624
| ~ spl33_131
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1584,f1478,f1318,f9853]) ).
fof(f9853,plain,
( spl33_624
<=> ! [X0,X1] :
( szmzizndt0(X1) = X0
| ~ sdtlseqdt0(X0,szmzizndt0(X1))
| ~ aElementOf0(szmzizndt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,X1)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_624])]) ).
fof(f1584,plain,
( ! [X0,X1] :
( szmzizndt0(X1) = X0
| ~ sdtlseqdt0(X0,szmzizndt0(X1))
| ~ aElementOf0(szmzizndt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,X1)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_131
| ~ spl33_152 ),
inference(resolution,[],[f1479,f1319]) ).
fof(f9851,plain,
( spl33_623
| ~ spl33_102
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1529,f1454,f1117,f9849]) ).
fof(f9849,plain,
( spl33_623
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sz00 = sK22(X0,X1)
| sK22(X0,X1) = szszuzczcdt0(sK21(sK22(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_623])]) ).
fof(f1529,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sz00 = sK22(X0,X1)
| sK22(X0,X1) = szszuzczcdt0(sK21(sK22(X0,X1))) )
| ~ spl33_102
| ~ spl33_146 ),
inference(resolution,[],[f1455,f1118]) ).
fof(f9846,plain,
( ~ spl33_15
| ~ spl33_44
| spl33_620 ),
inference(avatar_split_clause,[],[f9833,f9825,f752,f599]) ).
fof(f752,plain,
( spl33_44
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_44])]) ).
fof(f9833,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_44
| spl33_620 ),
inference(resolution,[],[f9827,f753]) ).
fof(f753,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_44 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f9827,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xk))
| spl33_620 ),
inference(avatar_component_clause,[],[f9825]) ).
fof(f9842,plain,
( ~ spl33_14
| ~ spl33_184
| spl33_12
| spl33_622
| ~ spl33_29
| ~ spl33_194 ),
inference(avatar_split_clause,[],[f2165,f2151,f668,f9840,f584,f2027,f594]) ).
fof(f9840,plain,
( spl33_622
<=> ! [X0] :
( ~ aSubsetOf0(slbdtsldtrb0(X0,xK),szDzozmdt0(xc))
| ~ aSet0(X0)
| aSubsetOf0(X0,xS)
| slcrc0 = slbdtsldtrb0(X0,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_622])]) ).
fof(f2165,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtsldtrb0(X0,xK),szDzozmdt0(xc))
| slcrc0 = slbdtsldtrb0(X0,xK)
| aSubsetOf0(X0,xS)
| sz00 = xK
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aElementOf0(xK,szNzAzT0) )
| ~ spl33_29
| ~ spl33_194 ),
inference(superposition,[],[f2152,f670]) ).
fof(f9832,plain,
( ~ spl33_15
| ~ spl33_619
| ~ spl33_620
| spl33_621
| ~ spl33_20
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2148,f2140,f623,f9829,f9825,f9821,f599]) ).
fof(f9829,plain,
( spl33_621
<=> aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_621])]) ).
fof(f2148,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk))))
| ~ isCountable0(sdtlpdtrp0(xN,xk))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_193 ),
inference(superposition,[],[f2141,f625]) ).
fof(f9488,plain,
( ~ spl33_7
| spl33_618
| ~ spl33_36
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2130,f2116,f699,f9486,f558]) ).
fof(f9486,plain,
( spl33_618
<=> ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sdtlseqdt0(sz00,sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_618])]) ).
fof(f2130,plain,
( ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK15(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_191 ),
inference(resolution,[],[f2117,f700]) ).
fof(f9477,plain,
( ~ spl33_7
| spl33_617
| ~ spl33_34
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2128,f2116,f691,f9475,f558]) ).
fof(f9475,plain,
( spl33_617
<=> ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| isFinite0(slbdtrb0(sK15(X0,X1,szNzAzT0)))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_617])]) ).
fof(f2128,plain,
( ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK15(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_191 ),
inference(resolution,[],[f2117,f692]) ).
fof(f9473,plain,
( spl33_616
| ~ spl33_130
| ~ spl33_187 ),
inference(avatar_split_clause,[],[f2066,f2047,f1314,f9471]) ).
fof(f9471,plain,
( spl33_616
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK22(X0,X1))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_616])]) ).
fof(f2066,plain,
( ! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK22(X0,X1))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_130
| ~ spl33_187 ),
inference(duplicate_literal_removal,[],[f2062]) ).
fof(f2062,plain,
( ! [X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK22(X0,X1))
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_130
| ~ spl33_187 ),
inference(resolution,[],[f2048,f1315]) ).
fof(f9469,plain,
( spl33_615
| ~ spl33_93
| ~ spl33_186 ),
inference(avatar_split_clause,[],[f2060,f2043,f1042,f9467]) ).
fof(f9467,plain,
( spl33_615
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_615])]) ).
fof(f1042,plain,
( spl33_93
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_93])]) ).
fof(f2060,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) )
| ~ spl33_93
| ~ spl33_186 ),
inference(duplicate_literal_removal,[],[f2055]) ).
fof(f2055,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_93
| ~ spl33_186 ),
inference(resolution,[],[f2044,f1043]) ).
fof(f1043,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_93 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f9459,plain,
( ~ spl33_7
| spl33_614
| ~ spl33_35
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2016,f1988,f695,f9457,f558]) ).
fof(f9457,plain,
( spl33_614
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sdtlseqdt0(sK27(X1,X0,szNzAzT0),sK27(X1,X0,szNzAzT0))
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_614])]) ).
fof(f2016,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK27(X1,X0,szNzAzT0),sK27(X1,X0,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_182 ),
inference(resolution,[],[f1989,f696]) ).
fof(f9455,plain,
( spl33_613
| ~ spl33_130
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1927,f1806,f1314,f9453]) ).
fof(f9453,plain,
( spl33_613
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_613])]) ).
fof(f1927,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl33_130
| ~ spl33_177 ),
inference(duplicate_literal_removal,[],[f1916]) ).
fof(f1916,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_130
| ~ spl33_177 ),
inference(resolution,[],[f1807,f1315]) ).
fof(f9421,plain,
( ~ spl33_7
| spl33_612
| ~ spl33_60
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1883,f1793,f841,f9419,f558]) ).
fof(f9419,plain,
( spl33_612
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sK32(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK32(X0,X1,szNzAzT0)))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_612])]) ).
fof(f1883,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK32(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK32(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_174 ),
inference(resolution,[],[f1794,f842]) ).
fof(f9417,plain,
( spl33_611
| ~ spl33_67
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1873,f1793,f898,f9415]) ).
fof(f9415,plain,
( spl33_611
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP1(sK32(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_611])]) ).
fof(f1873,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP1(sK32(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) )
| ~ spl33_67
| ~ spl33_174 ),
inference(resolution,[],[f1794,f899]) ).
fof(f9413,plain,
( spl33_610
| ~ spl33_68
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1872,f1793,f902,f9411]) ).
fof(f9411,plain,
( spl33_610
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP3(sK32(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_610])]) ).
fof(f1872,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,szDzozmdt0(X1),X2),X2)
| sP10(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP3(sK32(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) )
| ~ spl33_68
| ~ spl33_174 ),
inference(resolution,[],[f1794,f903]) ).
fof(f9409,plain,
( spl33_609
| ~ spl33_101
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1867,f1793,f1113,f9407]) ).
fof(f9407,plain,
( spl33_609
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,sK32(X0,X1,X2))
| aElementOf0(X3,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_609])]) ).
fof(f1867,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,sK32(X0,X1,X2))
| aElementOf0(X3,X1)
| ~ aSet0(X1) )
| ~ spl33_101
| ~ spl33_174 ),
inference(resolution,[],[f1794,f1114]) ).
fof(f9405,plain,
( spl33_608
| ~ spl33_67
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1858,f1789,f898,f9403]) ).
fof(f9403,plain,
( spl33_608
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP1(sK31(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_608])]) ).
fof(f1858,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP1(sK31(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_67
| ~ spl33_173 ),
inference(resolution,[],[f1790,f899]) ).
fof(f9401,plain,
( spl33_607
| ~ spl33_68
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1857,f1789,f902,f9399]) ).
fof(f9399,plain,
( spl33_607
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP3(sK31(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_607])]) ).
fof(f1857,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP3(sK31(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_68
| ~ spl33_173 ),
inference(resolution,[],[f1790,f903]) ).
fof(f9349,plain,
( ~ spl33_7
| spl33_606
| ~ spl33_60
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1829,f1777,f841,f9347,f558]) ).
fof(f9347,plain,
( spl33_606
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sK15(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK15(X0,X1,szNzAzT0)))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_606])]) ).
fof(f1829,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK15(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK15(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_170 ),
inference(resolution,[],[f1778,f842]) ).
fof(f9345,plain,
( spl33_605
| ~ spl33_115
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1753,f1716,f1197,f9343]) ).
fof(f9343,plain,
( spl33_605
<=> ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK20(X0,X1)))
| ~ aElement0(sK20(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_605])]) ).
fof(f1753,plain,
( ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK20(X0,X1)))
| ~ aElement0(sK20(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) )
| ~ spl33_115
| ~ spl33_166 ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1752,plain,
( ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK20(X0,X1)))
| ~ aElement0(sK20(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_115
| ~ spl33_166 ),
inference(resolution,[],[f1717,f1198]) ).
fof(f9341,plain,
( spl33_604
| ~ spl33_145
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1657,f1628,f1450,f9339]) ).
fof(f9339,plain,
( spl33_604
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK22(X0,X1))))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_604])]) ).
fof(f1657,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK22(X0,X1))))
| ~ isFinite0(X1) )
| ~ spl33_145
| ~ spl33_159 ),
inference(duplicate_literal_removal,[],[f1643]) ).
fof(f1643,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK22(X0,X1))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_145
| ~ spl33_159 ),
inference(resolution,[],[f1629,f1451]) ).
fof(f9337,plain,
( ~ spl33_428
| ~ spl33_575
| spl33_603
| ~ spl33_326
| ~ spl33_553 ),
inference(avatar_split_clause,[],[f8043,f7948,f3441,f9335,f8584,f5098]) ).
fof(f8584,plain,
( spl33_575
<=> aSet0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_575])]) ).
fof(f3441,plain,
( spl33_326
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_326])]) ).
fof(f7948,plain,
( spl33_553
<=> szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_553])]) ).
fof(f8043,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc))))
| ~ aElement0(sK26(szDzozmdt0(xc)))
| aElement0(X0) )
| ~ spl33_326
| ~ spl33_553 ),
inference(superposition,[],[f3442,f7950]) ).
fof(f7950,plain,
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc)))
| ~ spl33_553 ),
inference(avatar_component_clause,[],[f7948]) ).
fof(f3442,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElement0(X2) )
| ~ spl33_326 ),
inference(avatar_component_clause,[],[f3441]) ).
fof(f9333,plain,
( spl33_602
| ~ spl33_84
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1654,f1628,f1005,f9331]) ).
fof(f9331,plain,
( spl33_602
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,szDzozmdt0(X1))),X0)
| sP4(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK22(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_602])]) ).
fof(f1654,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,szDzozmdt0(X1))),X0)
| sP4(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK22(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) )
| ~ spl33_84
| ~ spl33_159 ),
inference(resolution,[],[f1629,f1006]) ).
fof(f9329,plain,
( spl33_601
| ~ spl33_127
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1640,f1628,f1302,f9327]) ).
fof(f9327,plain,
( spl33_601
<=> ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK22(X0,X1),X2)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ sP4(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_601])]) ).
fof(f1640,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK22(X0,X1),X2)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ sP4(X0,X2) )
| ~ spl33_127
| ~ spl33_159 ),
inference(resolution,[],[f1629,f1303]) ).
fof(f9274,plain,
( ~ spl33_7
| spl33_600
| ~ spl33_112
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1531,f1454,f1185,f9272,f558]) ).
fof(f9272,plain,
( spl33_600
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(X0,X1)),sK22(X0,X1))
| ~ aSet0(X1)
| sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_600])]) ).
fof(f1531,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22(X0,X1)),sK22(X0,X1))
| ~ aSet0(szNzAzT0) )
| ~ spl33_112
| ~ spl33_146 ),
inference(resolution,[],[f1455,f1186]) ).
fof(f9270,plain,
( spl33_599
| ~ spl33_64
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1516,f1450,f857,f9268]) ).
fof(f9268,plain,
( spl33_599
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_599])]) ).
fof(f1516,plain,
( ! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_64
| ~ spl33_145 ),
inference(resolution,[],[f1451,f858]) ).
fof(f9266,plain,
( spl33_598
| ~ spl33_93
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1337,f1306,f1042,f9264]) ).
fof(f9264,plain,
( spl33_598
<=> ! [X0,X1] :
( szDzozmdt0(X0) = sdtlbdtrb0(X0,X1)
| ~ aSubsetOf0(szDzozmdt0(X0),sdtlbdtrb0(X0,X1))
| ~ aSet0(sdtlbdtrb0(X0,X1))
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_598])]) ).
fof(f1337,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) = sdtlbdtrb0(X0,X1)
| ~ aSubsetOf0(szDzozmdt0(X0),sdtlbdtrb0(X0,X1))
| ~ aSet0(sdtlbdtrb0(X0,X1))
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_93
| ~ spl33_128 ),
inference(resolution,[],[f1307,f1043]) ).
fof(f9193,plain,
( ~ spl33_14
| ~ spl33_184
| spl33_12
| spl33_313
| spl33_597
| ~ spl33_29
| ~ spl33_194 ),
inference(avatar_split_clause,[],[f2164,f2151,f668,f9191,f3345,f584,f2027,f594]) ).
fof(f3345,plain,
( spl33_313
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_313])]) ).
fof(f9191,plain,
( spl33_597
<=> ! [X0] :
( ~ aSubsetOf0(szDzozmdt0(xc),slbdtsldtrb0(X0,xK))
| ~ aSet0(X0)
| aSubsetOf0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_597])]) ).
fof(f2164,plain,
( ! [X0] :
( ~ aSubsetOf0(szDzozmdt0(xc),slbdtsldtrb0(X0,xK))
| slcrc0 = szDzozmdt0(xc)
| aSubsetOf0(xS,X0)
| sz00 = xK
| ~ aSet0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0) )
| ~ spl33_29
| ~ spl33_194 ),
inference(superposition,[],[f2152,f670]) ).
fof(f9189,plain,
( spl33_596
| ~ spl33_101
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1622,f1617,f1113,f9187]) ).
fof(f9187,plain,
( spl33_596
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_596])]) ).
fof(f1622,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl33_101
| ~ spl33_158 ),
inference(resolution,[],[f1618,f1114]) ).
fof(f8875,plain,
( ~ spl33_7
| ~ spl33_428
| ~ spl33_63
| spl33_575 ),
inference(avatar_split_clause,[],[f8740,f8584,f853,f5098,f558]) ).
fof(f8740,plain,
( ~ aElement0(sK26(szDzozmdt0(xc)))
| ~ aSet0(szNzAzT0)
| ~ spl33_63
| spl33_575 ),
inference(resolution,[],[f8586,f854]) ).
fof(f8586,plain,
( ~ aSet0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc))))
| spl33_575 ),
inference(avatar_component_clause,[],[f8584]) ).
fof(f8748,plain,
( spl33_595
| ~ spl33_45
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2136,f2116,f758,f8746]) ).
fof(f8746,plain,
( spl33_595
<=> ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_595])]) ).
fof(f2136,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2)) )
| ~ spl33_45
| ~ spl33_191 ),
inference(duplicate_literal_removal,[],[f2125]) ).
fof(f2125,plain,
( ! [X2,X0,X1] :
( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_191 ),
inference(resolution,[],[f2117,f759]) ).
fof(f8744,plain,
( ~ spl33_7
| spl33_594
| ~ spl33_28
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2127,f2116,f659,f8742,f558]) ).
fof(f8742,plain,
( spl33_594
<=> ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP5(sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_594])]) ).
fof(f2127,plain,
( ! [X0,X1] :
( sK15(X0,X1,szNzAzT0) = sdtlpdtrp0(X0,sK16(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(sK15(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_191 ),
inference(resolution,[],[f2117,f660]) ).
fof(f8739,plain,
( spl33_593
| ~ spl33_36
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2105,f2076,f699,f8737]) ).
fof(f8737,plain,
( spl33_593
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK29(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_593])]) ).
fof(f2105,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK29(X0,szNzAzT0,X1)) )
| ~ spl33_36
| ~ spl33_189 ),
inference(resolution,[],[f2077,f700]) ).
fof(f8735,plain,
( spl33_592
| ~ spl33_34
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2103,f2076,f691,f8733]) ).
fof(f8733,plain,
( spl33_592
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK29(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_592])]) ).
fof(f2103,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK29(X0,szNzAzT0,X1))) )
| ~ spl33_34
| ~ spl33_189 ),
inference(resolution,[],[f2077,f692]) ).
fof(f8731,plain,
( spl33_591
| ~ spl33_36
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2091,f2076,f699,f8729]) ).
fof(f8729,plain,
( spl33_591
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK29(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_591])]) ).
fof(f2091,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK29(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_189 ),
inference(resolution,[],[f2077,f700]) ).
fof(f8727,plain,
( spl33_590
| ~ spl33_34
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2089,f2076,f691,f8725]) ).
fof(f8725,plain,
( spl33_590
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK29(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_590])]) ).
fof(f2089,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK29(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_189 ),
inference(resolution,[],[f2077,f692]) ).
fof(f8723,plain,
( spl33_589
| ~ spl33_26
| ~ spl33_186 ),
inference(avatar_split_clause,[],[f2054,f2043,f651,f8721]) ).
fof(f8721,plain,
( spl33_589
<=> ! [X0] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_589])]) ).
fof(f651,plain,
( spl33_26
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f2054,plain,
( ! [X0] :
( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_26
| ~ spl33_186 ),
inference(resolution,[],[f2044,f652]) ).
fof(f652,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f8719,plain,
( ~ spl33_7
| spl33_588
| ~ spl33_61
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2019,f1988,f845,f8717,f558]) ).
fof(f8717,plain,
( spl33_588
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| ~ aSet0(X2)
| sP11(X2,sK27(X1,X0,szNzAzT0))
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_588])]) ).
fof(f2019,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP11(X2,sK27(X1,X0,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_182 ),
inference(resolution,[],[f1989,f846]) ).
fof(f8709,plain,
( ~ spl33_7
| spl33_587
| ~ spl33_35
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1969,f1938,f695,f8707,f558]) ).
fof(f8707,plain,
( spl33_587
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sdtlseqdt0(sK32(X0,X1,szNzAzT0),sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_587])]) ).
fof(f1969,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK32(X0,X1,szNzAzT0),sK32(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_179 ),
inference(resolution,[],[f1939,f696]) ).
fof(f8631,plain,
( ~ spl33_282
| spl33_255
| spl33_586
| ~ spl33_60
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1844,f1781,f841,f8629,f2684,f2896]) ).
fof(f8629,plain,
( spl33_586
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sK25(szNzAzT0,X0) = sbrdtbr0(slbdtrb0(sK25(szNzAzT0,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_586])]) ).
fof(f1844,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sK25(szNzAzT0,X0) = sbrdtbr0(slbdtrb0(sK25(szNzAzT0,X0))) )
| ~ spl33_60
| ~ spl33_171 ),
inference(resolution,[],[f1782,f842]) ).
fof(f8627,plain,
( spl33_585
| ~ spl33_145
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1756,f1716,f1450,f8625]) ).
fof(f8625,plain,
( spl33_585
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_585])]) ).
fof(f1756,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) )
| ~ spl33_145
| ~ spl33_166 ),
inference(duplicate_literal_removal,[],[f1738]) ).
fof(f1738,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_145
| ~ spl33_166 ),
inference(resolution,[],[f1717,f1451]) ).
fof(f8623,plain,
( spl33_584
| ~ spl33_67
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1689,f1636,f898,f8621]) ).
fof(f8621,plain,
( spl33_584
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP1(sK30(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_584])]) ).
fof(f1689,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP1(sK30(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_67
| ~ spl33_161 ),
inference(resolution,[],[f1637,f899]) ).
fof(f8619,plain,
( spl33_583
| ~ spl33_68
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1688,f1636,f902,f8617]) ).
fof(f8617,plain,
( spl33_583
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP3(sK30(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_583])]) ).
fof(f1688,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP3(sK30(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_68
| ~ spl33_161 ),
inference(resolution,[],[f1637,f903]) ).
fof(f8615,plain,
( spl33_582
| ~ spl33_84
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1681,f1632,f1005,f8613]) ).
fof(f8613,plain,
( spl33_582
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,szDzozmdt0(X1),X2),X2)
| sP8(X0,szDzozmdt0(X1),X2)
| aElement0(sdtlpdtrp0(X1,sK28(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_582])]) ).
fof(f1681,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,szDzozmdt0(X1),X2),X2)
| sP8(X0,szDzozmdt0(X1),X2)
| aElement0(sdtlpdtrp0(X1,sK28(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) )
| ~ spl33_84
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1006]) ).
fof(f8611,plain,
( spl33_581
| ~ spl33_84
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1669,f1632,f1005,f8609]) ).
fof(f8609,plain,
( spl33_581
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,szDzozmdt0(X2)),X1)
| sP8(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK28(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_581])]) ).
fof(f1669,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,szDzozmdt0(X2)),X1)
| sP8(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK28(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_160 ),
inference(resolution,[],[f1633,f1006]) ).
fof(f8607,plain,
( spl33_580
| ~ spl33_112
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1656,f1628,f1185,f8605]) ).
fof(f8605,plain,
( spl33_580
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK22(X0,X1)),sK22(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_580])]) ).
fof(f1656,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK22(X0,X1)),sK22(X0,X1)) = X1 )
| ~ spl33_112
| ~ spl33_159 ),
inference(duplicate_literal_removal,[],[f1644]) ).
fof(f1644,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK22(X0,X1)),sK22(X0,X1)) = X1
| ~ aSet0(X1) )
| ~ spl33_112
| ~ spl33_159 ),
inference(resolution,[],[f1629,f1186]) ).
fof(f8603,plain,
( spl33_579
| ~ spl33_127
| ~ spl33_156 ),
inference(avatar_split_clause,[],[f1613,f1494,f1302,f8601]) ).
fof(f8601,plain,
( spl33_579
<=> ! [X2,X0,X1] :
( ~ aElementOf0(szszuzczcdt0(X0),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(szmzazxdt0(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_579])]) ).
fof(f1613,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(szszuzczcdt0(X0),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(szmzazxdt0(X1),X2) )
| ~ spl33_127
| ~ spl33_156 ),
inference(resolution,[],[f1495,f1303]) ).
fof(f8599,plain,
( spl33_578
| ~ spl33_93
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1603,f1486,f1042,f8597]) ).
fof(f8597,plain,
( spl33_578
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,szDzozmdt0(X1))
| ~ aSubsetOf0(X0,sdtlbdtrb0(X1,X2))
| ~ aSet0(szDzozmdt0(X1))
| ~ aSet0(sdtlbdtrb0(X1,X2))
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_578])]) ).
fof(f1603,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(X0,szDzozmdt0(X1))
| ~ aSubsetOf0(X0,sdtlbdtrb0(X1,X2))
| ~ aSet0(szDzozmdt0(X1))
| ~ aSet0(sdtlbdtrb0(X1,X2))
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aFunction0(X1) )
| ~ spl33_93
| ~ spl33_154 ),
inference(resolution,[],[f1487,f1043]) ).
fof(f8595,plain,
( spl33_577
| ~ spl33_145
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1548,f1454,f1450,f8593]) ).
fof(f8593,plain,
( spl33_577
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK22(X0,X1))))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_577])]) ).
fof(f1548,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK22(X0,X1))))
| ~ isFinite0(X1) )
| ~ spl33_145
| ~ spl33_146 ),
inference(duplicate_literal_removal,[],[f1533]) ).
fof(f1533,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK22(X0,X1))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_145
| ~ spl33_146 ),
inference(resolution,[],[f1455,f1451]) ).
fof(f8591,plain,
( ~ spl33_428
| ~ spl33_575
| ~ spl33_576
| ~ spl33_283
| ~ spl33_553 ),
inference(avatar_split_clause,[],[f8042,f7948,f2913,f8588,f8584,f5098]) ).
fof(f8588,plain,
( spl33_576
<=> aElementOf0(sK26(szDzozmdt0(xc)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_576])]) ).
fof(f2913,plain,
( spl33_283
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_283])]) ).
fof(f8042,plain,
( ~ aElementOf0(sK26(szDzozmdt0(xc)),szNzAzT0)
| ~ aSet0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc))))
| ~ aElement0(sK26(szDzozmdt0(xc)))
| ~ spl33_283
| ~ spl33_553 ),
inference(superposition,[],[f2914,f7950]) ).
fof(f2914,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_283 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f8582,plain,
( spl33_574
| ~ spl33_84
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1544,f1454,f1005,f8580]) ).
fof(f8580,plain,
( spl33_574
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,szDzozmdt0(X1)),szNzAzT0)
| sP4(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK22(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_574])]) ).
fof(f1544,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,szDzozmdt0(X1)),szNzAzT0)
| sP4(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK22(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) )
| ~ spl33_84
| ~ spl33_146 ),
inference(resolution,[],[f1455,f1006]) ).
fof(f8578,plain,
( spl33_573
| ~ spl33_115
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1409,f1363,f1197,f8576]) ).
fof(f8576,plain,
( spl33_573
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK20(X0,X1)),sK20(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK20(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_573])]) ).
fof(f1409,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK20(X0,X1)),sK20(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK20(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) )
| ~ spl33_115
| ~ spl33_137 ),
inference(duplicate_literal_removal,[],[f1408]) ).
fof(f1408,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK20(X0,X1)),sK20(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK20(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_115
| ~ spl33_137 ),
inference(resolution,[],[f1364,f1198]) ).
fof(f8555,plain,
( ~ spl33_258
| ~ spl33_184
| spl33_572
| ~ spl33_55
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1600,f1486,f817,f8553,f2027,f2732]) ).
fof(f1600,plain,
( ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSubsetOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X0) )
| ~ spl33_55
| ~ spl33_154 ),
inference(resolution,[],[f1487,f819]) ).
fof(f8342,plain,
( spl33_571
| ~ spl33_331
| ~ spl33_480 ),
inference(avatar_split_clause,[],[f6618,f6467,f3468,f8339]) ).
fof(f8339,plain,
( spl33_571
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))),sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_571])]) ).
fof(f6467,plain,
( spl33_480
<=> aElement0(sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_480])]) ).
fof(f6618,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))),sdtlpdtrp0(xc,sK26(szDzozmdt0(xc))))
| ~ spl33_331
| ~ spl33_480 ),
inference(resolution,[],[f6469,f3469]) ).
fof(f6469,plain,
( aElement0(sdtlpdtrp0(xc,sK26(szDzozmdt0(xc))))
| ~ spl33_480 ),
inference(avatar_component_clause,[],[f6467]) ).
fof(f8031,plain,
( spl33_570
| ~ spl33_28
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2102,f2076,f659,f8029]) ).
fof(f8029,plain,
( spl33_570
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sP5(sK29(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_570])]) ).
fof(f2102,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,szNzAzT0,X1),X1)
| sK29(X0,szNzAzT0,X1) = X0
| sP9(X0,szNzAzT0,X1)
| sP5(sK29(X0,szNzAzT0,X1)) )
| ~ spl33_28
| ~ spl33_189 ),
inference(resolution,[],[f2077,f660]) ).
fof(f8027,plain,
( spl33_569
| ~ spl33_28
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2088,f2076,f659,f8025]) ).
fof(f8025,plain,
( spl33_569
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sP5(sK29(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_569])]) ).
fof(f2088,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,szNzAzT0),X1)
| sK29(X0,X1,szNzAzT0) = X0
| sP9(X0,X1,szNzAzT0)
| sP5(sK29(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_189 ),
inference(resolution,[],[f2077,f660]) ).
fof(f8023,plain,
( spl33_568
| ~ spl33_46
| ~ spl33_183 ),
inference(avatar_split_clause,[],[f2040,f1992,f762,f8021]) ).
fof(f8021,plain,
( spl33_568
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(X0)
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_568])]) ).
fof(f2040,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(X0)
| ~ aSet0(slbdtsldtrb0(sK31(X1,X2,X0),X2)) )
| ~ spl33_46
| ~ spl33_183 ),
inference(resolution,[],[f1993,f763]) ).
fof(f8019,plain,
( spl33_567
| ~ spl33_45
| ~ spl33_180 ),
inference(avatar_split_clause,[],[f1997,f1980,f758,f8017]) ).
fof(f8017,plain,
( spl33_567
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK23(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_567])]) ).
fof(f1997,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK23(X0,X1))
| ~ aSet0(X0) )
| ~ spl33_45
| ~ spl33_180 ),
inference(resolution,[],[f1981,f759]) ).
fof(f8015,plain,
( ~ spl33_7
| spl33_566
| ~ spl33_61
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1972,f1938,f845,f8013,f558]) ).
fof(f8013,plain,
( spl33_566
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| ~ aSet0(X2)
| sP11(X2,sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_566])]) ).
fof(f1972,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP11(X2,sK32(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_179 ),
inference(resolution,[],[f1939,f846]) ).
fof(f8011,plain,
( spl33_565
| ~ spl33_84
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1941,f1930,f1005,f8009]) ).
fof(f8009,plain,
( spl33_565
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sdtlpdtrp0(X1,sK27(X0,X1,X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_565])]) ).
fof(f1941,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X2)
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sdtlpdtrp0(X1,sK27(X0,X1,X2)))
| ~ aFunction0(X1) )
| ~ spl33_84
| ~ spl33_178 ),
inference(resolution,[],[f1931,f1006]) ).
fof(f8001,plain,
( ~ spl33_7
| spl33_564
| ~ spl33_35
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1881,f1793,f695,f7999,f558]) ).
fof(f7999,plain,
( spl33_564
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sK32(X0,X1,szNzAzT0),sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_564])]) ).
fof(f1881,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK32(X0,X1,szNzAzT0),sK32(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_174 ),
inference(resolution,[],[f1794,f696]) ).
fof(f7997,plain,
( spl33_563
| ~ spl33_72
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1868,f1793,f918,f7995]) ).
fof(f7995,plain,
( spl33_563
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| isFinite0(sK32(X0,X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_563])]) ).
fof(f1868,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| isFinite0(sK32(X0,X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_72
| ~ spl33_174 ),
inference(resolution,[],[f1794,f919]) ).
fof(f7993,plain,
( spl33_562
| ~ spl33_101
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1862,f1789,f1113,f7991]) ).
fof(f7991,plain,
( spl33_562
<=> ! [X0,X3,X2,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sK31(X1,X2,X0))
| aElementOf0(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_562])]) ).
fof(f1862,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sK31(X1,X2,X0))
| aElementOf0(X3,X1) )
| ~ spl33_101
| ~ spl33_173 ),
inference(duplicate_literal_removal,[],[f1852]) ).
fof(f1852,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sK31(X1,X2,X0))
| aElementOf0(X3,X1)
| ~ aSet0(X1) )
| ~ spl33_101
| ~ spl33_173 ),
inference(resolution,[],[f1790,f1114]) ).
fof(f7983,plain,
( ~ spl33_7
| spl33_561
| ~ spl33_35
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1827,f1777,f695,f7981,f558]) ).
fof(f7981,plain,
( spl33_561
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sK15(X0,X1,szNzAzT0),sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_561])]) ).
fof(f1827,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK15(X0,X1,szNzAzT0),sK15(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_170 ),
inference(resolution,[],[f1778,f696]) ).
fof(f7979,plain,
( spl33_560
| ~ spl33_112
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1755,f1716,f1185,f7977]) ).
fof(f7977,plain,
( spl33_560
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_560])]) ).
fof(f1755,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 )
| ~ spl33_112
| ~ spl33_166 ),
inference(duplicate_literal_removal,[],[f1739]) ).
fof(f1739,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl33_112
| ~ spl33_166 ),
inference(resolution,[],[f1717,f1186]) ).
fof(f7975,plain,
( spl33_559
| ~ spl33_60
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1678,f1632,f841,f7973]) ).
fof(f7973,plain,
( spl33_559
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sK28(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK28(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_559])]) ).
fof(f1678,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sK28(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK28(X0,szNzAzT0,X1))) )
| ~ spl33_60
| ~ spl33_160 ),
inference(resolution,[],[f1633,f842]) ).
fof(f7971,plain,
( spl33_558
| ~ spl33_60
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1666,f1632,f841,f7969]) ).
fof(f7969,plain,
( spl33_558
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK28(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_558])]) ).
fof(f1666,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK28(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_160 ),
inference(resolution,[],[f1633,f842]) ).
fof(f7967,plain,
( spl33_557
| ~ spl33_92
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1599,f1486,f1038,f7965]) ).
fof(f7965,plain,
( spl33_557
<=> ! [X0,X1] :
( aSubsetOf0(X0,slbdtrb0(sK24(X1)))
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(slbdtrb0(sK24(X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_557])]) ).
fof(f1038,plain,
( spl33_92
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_92])]) ).
fof(f1599,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,slbdtrb0(sK24(X1)))
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(slbdtrb0(sK24(X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_92
| ~ spl33_154 ),
inference(resolution,[],[f1487,f1039]) ).
fof(f1039,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_92 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f7963,plain,
( spl33_556
| ~ spl33_130
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1591,f1478,f1314,f7961]) ).
fof(f7961,plain,
( spl33_556
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_556])]) ).
fof(f1591,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_130
| ~ spl33_152 ),
inference(duplicate_literal_removal,[],[f1581]) ).
fof(f1581,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_130
| ~ spl33_152 ),
inference(resolution,[],[f1479,f1315]) ).
fof(f7959,plain,
( spl33_555
| ~ spl33_84
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1576,f1470,f1005,f7957]) ).
fof(f7957,plain,
( spl33_555
<=> ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,szDzozmdt0(X2)))
| sP9(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK29(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_555])]) ).
fof(f1576,plain,
( ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,szDzozmdt0(X2)))
| sP9(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK29(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_150 ),
inference(resolution,[],[f1471,f1006]) ).
fof(f7955,plain,
( spl33_553
| spl33_554
| ~ spl33_372
| ~ spl33_428 ),
inference(avatar_split_clause,[],[f5613,f5098,f4118,f7952,f7948]) ).
fof(f7952,plain,
( spl33_554
<=> sP5(sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_554])]) ).
fof(f4118,plain,
( spl33_372
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sP5(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_372])]) ).
fof(f5613,plain,
( sP5(sK26(szDzozmdt0(xc)))
| szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc)))
| ~ spl33_372
| ~ spl33_428 ),
inference(resolution,[],[f5099,f4119]) ).
fof(f4119,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP5(X0)
| szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0) )
| ~ spl33_372 ),
inference(avatar_component_clause,[],[f4118]) ).
fof(f5099,plain,
( aElement0(sK26(szDzozmdt0(xc)))
| ~ spl33_428 ),
inference(avatar_component_clause,[],[f5098]) ).
fof(f7946,plain,
( spl33_552
| ~ spl33_84
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1561,f1462,f1005,f7944]) ).
fof(f7944,plain,
( spl33_552
<=> ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,szDzozmdt0(X2)))
| sP8(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK28(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_552])]) ).
fof(f1561,plain,
( ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,szDzozmdt0(X2)))
| sP8(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK28(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl33_84
| ~ spl33_148 ),
inference(resolution,[],[f1463,f1006]) ).
fof(f7942,plain,
( spl33_551
| ~ spl33_112
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1547,f1454,f1185,f7940]) ).
fof(f7940,plain,
( spl33_551
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK22(X0,X1)),sK22(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_551])]) ).
fof(f1547,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK22(X0,X1)),sK22(X0,X1)) = X1 )
| ~ spl33_112
| ~ spl33_146 ),
inference(duplicate_literal_removal,[],[f1534]) ).
fof(f1534,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK22(X0,X1)),sK22(X0,X1)) = X1
| ~ aSet0(X1) )
| ~ spl33_112
| ~ spl33_146 ),
inference(resolution,[],[f1455,f1186]) ).
fof(f7938,plain,
( spl33_550
| ~ spl33_137
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1519,f1450,f1363,f7936]) ).
fof(f7936,plain,
( spl33_550
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_550])]) ).
fof(f1519,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) )
| ~ spl33_137
| ~ spl33_145 ),
inference(duplicate_literal_removal,[],[f1507]) ).
fof(f1507,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1) )
| ~ spl33_137
| ~ spl33_145 ),
inference(resolution,[],[f1451,f1364]) ).
fof(f7934,plain,
( spl33_549
| ~ spl33_92
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1334,f1306,f1038,f7932]) ).
fof(f7932,plain,
( spl33_549
<=> ! [X0] :
( slbdtrb0(sK24(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK24(X0)),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_549])]) ).
fof(f1334,plain,
( ! [X0] :
( slbdtrb0(sK24(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK24(X0)),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_92
| ~ spl33_128 ),
inference(resolution,[],[f1307,f1039]) ).
fof(f7887,plain,
( ~ spl33_7
| spl33_548
| ~ spl33_102
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1263,f1193,f1117,f7885,f558]) ).
fof(f7885,plain,
( spl33_548
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sK20(X0,szNzAzT0) = szszuzczcdt0(sK21(sK20(X0,szNzAzT0)))
| sz00 = sK20(X0,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_548])]) ).
fof(f1263,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK20(X0,szNzAzT0)
| sK20(X0,szNzAzT0) = szszuzczcdt0(sK21(sK20(X0,szNzAzT0))) )
| ~ spl33_102
| ~ spl33_114 ),
inference(resolution,[],[f1194,f1118]) ).
fof(f7786,plain,
( ~ spl33_7
| spl33_547
| ~ spl33_36
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2017,f1988,f699,f7784,f558]) ).
fof(f7784,plain,
( spl33_547
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sdtlseqdt0(sz00,sK27(X1,X0,szNzAzT0))
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_547])]) ).
fof(f2017,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK27(X1,X0,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_182 ),
inference(resolution,[],[f1989,f700]) ).
fof(f7778,plain,
( ~ spl33_7
| spl33_546
| ~ spl33_34
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2015,f1988,f691,f7776,f558]) ).
fof(f7776,plain,
( spl33_546
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| isFinite0(slbdtrb0(sK27(X1,X0,szNzAzT0)))
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_546])]) ).
fof(f2015,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK27(X1,X0,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_182 ),
inference(resolution,[],[f1989,f692]) ).
fof(f7746,plain,
( ~ spl33_7
| spl33_545
| ~ spl33_61
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1884,f1793,f845,f7744,f558]) ).
fof(f7744,plain,
( spl33_545
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| ~ aSet0(X2)
| sP11(X2,sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_545])]) ).
fof(f1884,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP11(X2,sK32(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_174 ),
inference(resolution,[],[f1794,f846]) ).
fof(f7742,plain,
( ~ spl33_282
| spl33_255
| spl33_544
| ~ spl33_61
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1845,f1781,f845,f7740,f2684,f2896]) ).
fof(f7740,plain,
( spl33_544
<=> ! [X0,X1] :
( szmzizndt0(szNzAzT0) = X0
| ~ aSet0(X1)
| sP11(X1,sK25(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_544])]) ).
fof(f1845,plain,
( ! [X0,X1] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP11(X1,sK25(szNzAzT0,X0))
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_171 ),
inference(resolution,[],[f1782,f846]) ).
fof(f7738,plain,
( ~ spl33_543
| spl33_524
| ~ spl33_328
| ~ spl33_513 ),
inference(avatar_split_clause,[],[f7647,f7150,f3449,f7220,f7735]) ).
fof(f7735,plain,
( spl33_543
<=> aSubsetOf0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_543])]) ).
fof(f7150,plain,
( spl33_513
<=> szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_513])]) ).
fof(f7647,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),sz00)
| ~ aSubsetOf0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))),slcrc0)
| ~ spl33_328
| ~ spl33_513 ),
inference(superposition,[],[f3450,f7152]) ).
fof(f7152,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))))
| ~ spl33_513 ),
inference(avatar_component_clause,[],[f7150]) ).
fof(f7727,plain,
( ~ spl33_282
| spl33_255
| spl33_542
| ~ spl33_35
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1842,f1781,f695,f7725,f2684,f2896]) ).
fof(f7725,plain,
( spl33_542
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sdtlseqdt0(sK25(szNzAzT0,X0),sK25(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_542])]) ).
fof(f1842,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sK25(szNzAzT0,X0),sK25(szNzAzT0,X0)) )
| ~ spl33_35
| ~ spl33_171 ),
inference(resolution,[],[f1782,f696]) ).
fof(f7679,plain,
( ~ spl33_7
| spl33_541
| ~ spl33_61
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1830,f1777,f845,f7677,f558]) ).
fof(f7677,plain,
( spl33_541
<=> ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| ~ aSet0(X2)
| sP11(X2,sK15(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_541])]) ).
fof(f1830,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP11(X2,sK15(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_170 ),
inference(resolution,[],[f1778,f846]) ).
fof(f7675,plain,
( spl33_540
| ~ spl33_26
| ~ spl33_168 ),
inference(avatar_split_clause,[],[f1765,f1724,f651,f7673]) ).
fof(f7673,plain,
( spl33_540
<=> ! [X0,X1] :
( ~ isFinite0(slbdtsldtrb0(X0,X1))
| isFinite0(sK31(X0,X1,slbdtsldtrb0(X0,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_540])]) ).
fof(f1765,plain,
( ! [X0,X1] :
( ~ isFinite0(slbdtsldtrb0(X0,X1))
| isFinite0(sK31(X0,X1,slbdtsldtrb0(X0,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl33_26
| ~ spl33_168 ),
inference(resolution,[],[f1725,f652]) ).
fof(f7671,plain,
( spl33_539
| ~ spl33_60
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1573,f1470,f841,f7669]) ).
fof(f7669,plain,
( spl33_539
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK29(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_539])]) ).
fof(f1573,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sK29(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK29(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_150 ),
inference(resolution,[],[f1471,f842]) ).
fof(f7667,plain,
( spl33_538
| ~ spl33_60
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1558,f1462,f841,f7665]) ).
fof(f7665,plain,
( spl33_538
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK28(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_538])]) ).
fof(f1558,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sK28(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK28(X0,X1,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_148 ),
inference(resolution,[],[f1463,f842]) ).
fof(f7663,plain,
( spl33_537
| ~ spl33_92
| ~ spl33_142 ),
inference(avatar_split_clause,[],[f1435,f1383,f1038,f7661]) ).
fof(f7661,plain,
( spl33_537
<=> ! [X0] :
( sdtlseqdt0(X0,sK24(slbdtrb0(X0)))
| ~ aElementOf0(sK24(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_537])]) ).
fof(f1383,plain,
( spl33_142
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_142])]) ).
fof(f1435,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK24(slbdtrb0(X0)))
| ~ aElementOf0(sK24(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) )
| ~ spl33_92
| ~ spl33_142 ),
inference(resolution,[],[f1384,f1039]) ).
fof(f1384,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_142 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f7659,plain,
( spl33_536
| ~ spl33_101
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1429,f1379,f1113,f7657]) ).
fof(f7657,plain,
( spl33_536
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_536])]) ).
fof(f1429,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl33_101
| ~ spl33_141 ),
inference(resolution,[],[f1380,f1114]) ).
fof(f7655,plain,
( spl33_535
| ~ spl33_84
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1405,f1363,f1005,f7653]) ).
fof(f7653,plain,
( spl33_535
<=> ! [X0,X1] :
( szDzozmdt0(X0) = sdtmndt0(sdtpldt0(szDzozmdt0(X0),X1),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_535])]) ).
fof(f1405,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) = sdtmndt0(sdtpldt0(szDzozmdt0(X0),X1),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_137 ),
inference(resolution,[],[f1364,f1006]) ).
fof(f7626,plain,
( spl33_534
| ~ spl33_66
| ~ spl33_107 ),
inference(avatar_split_clause,[],[f1164,f1138,f890,f7624]) ).
fof(f1164,plain,
( ! [X0,X1] :
( ~ sP10(xK,X0,X1)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1) )
| ~ spl33_66
| ~ spl33_107 ),
inference(superposition,[],[f1139,f892]) ).
fof(f7269,plain,
( spl33_533
| ~ spl33_45
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2023,f1988,f758,f7267]) ).
fof(f7267,plain,
( spl33_533
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| aElement0(sK27(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_533])]) ).
fof(f2023,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| aElement0(sK27(X1,X0,X2)) )
| ~ spl33_45
| ~ spl33_182 ),
inference(duplicate_literal_removal,[],[f2012]) ).
fof(f2012,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,X2)) = X1
| sP6(X1,X0,X2)
| ~ aSet0(X2)
| aElement0(sK27(X1,X0,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_182 ),
inference(resolution,[],[f1989,f759]) ).
fof(f7263,plain,
( ~ spl33_7
| spl33_532
| ~ spl33_28
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2014,f1988,f659,f7261,f558]) ).
fof(f7261,plain,
( spl33_532
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP5(sK27(X1,X0,szNzAzT0))
| sP6(X1,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_532])]) ).
fof(f2014,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,szNzAzT0)) = X1
| sP6(X1,X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(sK27(X1,X0,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_182 ),
inference(resolution,[],[f1989,f660]) ).
fof(f7255,plain,
( ~ spl33_7
| spl33_531
| ~ spl33_36
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1970,f1938,f699,f7253,f558]) ).
fof(f7253,plain,
( spl33_531
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sdtlseqdt0(sz00,sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_531])]) ).
fof(f1970,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK32(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_179 ),
inference(resolution,[],[f1939,f700]) ).
fof(f7247,plain,
( ~ spl33_7
| spl33_530
| ~ spl33_34
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1968,f1938,f691,f7245,f558]) ).
fof(f7245,plain,
( spl33_530
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| isFinite0(slbdtrb0(sK32(X0,X1,szNzAzT0)))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_530])]) ).
fof(f1968,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK32(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_179 ),
inference(resolution,[],[f1939,f692]) ).
fof(f7243,plain,
( spl33_529
| ~ spl33_46
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1869,f1793,f762,f7241]) ).
fof(f7241,plain,
( spl33_529
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aSet0(sK32(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_529])]) ).
fof(f1869,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aSet0(sK32(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl33_46
| ~ spl33_174 ),
inference(resolution,[],[f1794,f763]) ).
fof(f7239,plain,
( spl33_528
| ~ spl33_45
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1838,f1781,f758,f7237]) ).
fof(f7237,plain,
( spl33_528
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK25(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_528])]) ).
fof(f1838,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK25(X0,X1))
| ~ aSet0(X0) )
| ~ spl33_45
| ~ spl33_171 ),
inference(resolution,[],[f1782,f759]) ).
fof(f7235,plain,
( spl33_527
| ~ spl33_45
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1811,f1777,f758,f7233]) ).
fof(f7233,plain,
( spl33_527
<=> ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK16(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_527])]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK16(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl33_45
| ~ spl33_170 ),
inference(resolution,[],[f1778,f759]) ).
fof(f7231,plain,
( spl33_526
| ~ spl33_113
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1764,f1720,f1189,f7229]) ).
fof(f7229,plain,
( spl33_526
<=> ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK30(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_526])]) ).
fof(f1764,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK30(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) )
| ~ spl33_113
| ~ spl33_167 ),
inference(duplicate_literal_removal,[],[f1760]) ).
fof(f1760,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK30(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_113
| ~ spl33_167 ),
inference(resolution,[],[f1721,f1190]) ).
fof(f7227,plain,
( spl33_525
| ~ spl33_93
| ~ spl33_164 ),
inference(avatar_split_clause,[],[f1736,f1708,f1042,f7225]) ).
fof(f7225,plain,
( spl33_525
<=> ! [X0,X1] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_525])]) ).
fof(f1736,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) )
| ~ spl33_93
| ~ spl33_164 ),
inference(duplicate_literal_removal,[],[f1733]) ).
fof(f1733,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_93
| ~ spl33_164 ),
inference(resolution,[],[f1709,f1043]) ).
fof(f7223,plain,
( ~ spl33_523
| spl33_524
| ~ spl33_328
| ~ spl33_495 ),
inference(avatar_split_clause,[],[f6822,f6665,f3449,f7220,f7216]) ).
fof(f7216,plain,
( spl33_523
<=> aSubsetOf0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))),slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_523])]) ).
fof(f6822,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),sz00)
| ~ aSubsetOf0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))),slcrc0)
| ~ spl33_328
| ~ spl33_495 ),
inference(superposition,[],[f3450,f6667]) ).
fof(f7214,plain,
( spl33_522
| ~ spl33_93
| ~ spl33_163 ),
inference(avatar_split_clause,[],[f1731,f1704,f1042,f7212]) ).
fof(f7212,plain,
( spl33_522
<=> ! [X0,X1] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_522])]) ).
fof(f1731,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) )
| ~ spl33_93
| ~ spl33_163 ),
inference(duplicate_literal_removal,[],[f1728]) ).
fof(f1728,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_93
| ~ spl33_163 ),
inference(resolution,[],[f1705,f1043]) ).
fof(f7210,plain,
( spl33_521
| ~ spl33_101
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1692,f1636,f1113,f7208]) ).
fof(f7208,plain,
( spl33_521
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK30(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_521])]) ).
fof(f1692,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK30(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl33_101
| ~ spl33_161 ),
inference(duplicate_literal_removal,[],[f1685]) ).
fof(f1685,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK30(X1,X0))
| aElementOf0(X2,X1)
| ~ aSet0(X1) )
| ~ spl33_101
| ~ spl33_161 ),
inference(resolution,[],[f1637,f1114]) ).
fof(f7206,plain,
( spl33_520
| ~ spl33_35
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1676,f1632,f695,f7204]) ).
fof(f7204,plain,
( spl33_520
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sdtlseqdt0(sK28(X0,szNzAzT0,X1),sK28(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_520])]) ).
fof(f1676,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sdtlseqdt0(sK28(X0,szNzAzT0,X1),sK28(X0,szNzAzT0,X1)) )
| ~ spl33_35
| ~ spl33_160 ),
inference(resolution,[],[f1633,f696]) ).
fof(f7202,plain,
( spl33_519
| ~ spl33_35
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1664,f1632,f695,f7200]) ).
fof(f7200,plain,
( spl33_519
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sK28(X0,X1,szNzAzT0),sK28(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_519])]) ).
fof(f1664,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sK28(X0,X1,szNzAzT0),sK28(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_160 ),
inference(resolution,[],[f1633,f696]) ).
fof(f7198,plain,
( spl33_518
| ~ spl33_60
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1527,f1454,f841,f7196]) ).
fof(f7196,plain,
( spl33_518
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sK22(X0,X1) = sbrdtbr0(slbdtrb0(sK22(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_518])]) ).
fof(f1527,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sK22(X0,X1) = sbrdtbr0(slbdtrb0(sK22(X0,X1))) )
| ~ spl33_60
| ~ spl33_146 ),
inference(resolution,[],[f1455,f842]) ).
fof(f7194,plain,
( spl33_517
| ~ spl33_123
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1521,f1450,f1230,f7192]) ).
fof(f7192,plain,
( spl33_517
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_517])]) ).
fof(f1521,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_123
| ~ spl33_145 ),
inference(duplicate_literal_removal,[],[f1505]) ).
fof(f1505,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_123
| ~ spl33_145 ),
inference(resolution,[],[f1451,f1231]) ).
fof(f7190,plain,
( spl33_516
| ~ spl33_114
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1520,f1450,f1193,f7188]) ).
fof(f7188,plain,
( spl33_516
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK20(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_516])]) ).
fof(f1520,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK20(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) )
| ~ spl33_114
| ~ spl33_145 ),
inference(duplicate_literal_removal,[],[f1506]) ).
fof(f1506,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK20(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) )
| ~ spl33_114
| ~ spl33_145 ),
inference(resolution,[],[f1451,f1194]) ).
fof(f7186,plain,
( spl33_515
| ~ spl33_96
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1504,f1450,f1054,f7184]) ).
fof(f7184,plain,
( spl33_515
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_515])]) ).
fof(f1504,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_96
| ~ spl33_145 ),
inference(resolution,[],[f1451,f1055]) ).
fof(f7157,plain,
( ~ spl33_7
| spl33_514
| ~ spl33_102
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1404,f1363,f1117,f7155,f558]) ).
fof(f7155,plain,
( spl33_514
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_514])]) ).
fof(f1404,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sz00 = X0
| szszuzczcdt0(sK21(X0)) = X0 )
| ~ spl33_102
| ~ spl33_137 ),
inference(resolution,[],[f1364,f1118]) ).
fof(f7153,plain,
( spl33_513
| ~ spl33_376
| ~ spl33_480 ),
inference(avatar_split_clause,[],[f6616,f6467,f4170,f7150]) ).
fof(f6616,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sdtlpdtrp0(xc,sK26(szDzozmdt0(xc)))))
| ~ spl33_376
| ~ spl33_480 ),
inference(resolution,[],[f6469,f4171]) ).
fof(f7148,plain,
( spl33_512
| ~ spl33_84
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1292,f1230,f1005,f7146]) ).
fof(f7146,plain,
( spl33_512
<=> ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzazxdt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_512])]) ).
fof(f1292,plain,
( ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzazxdt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_123 ),
inference(resolution,[],[f1231,f1006]) ).
fof(f7144,plain,
( spl33_511
| ~ spl33_112
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1282,f1230,f1185,f7142]) ).
fof(f7142,plain,
( spl33_511
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_511])]) ).
fof(f1282,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) )
| ~ spl33_112
| ~ spl33_123 ),
inference(resolution,[],[f1231,f1186]) ).
fof(f7139,plain,
( ~ spl33_2
| spl33_510
| ~ spl33_19
| ~ spl33_190 ),
inference(avatar_split_clause,[],[f2113,f2080,f618,f7137,f533]) ).
fof(f533,plain,
( spl33_2
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f2080,plain,
( spl33_190
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_190])]) ).
fof(f2113,plain,
( ! [X0] :
( sdtlpdtrp0(xN,sK14(xN,X0,szNzAzT0)) != sdtlpdtrp0(X0,sK14(xN,X0,szNzAzT0))
| sP0(xN,X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_190 ),
inference(superposition,[],[f2081,f620]) ).
fof(f2081,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_190 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f7112,plain,
( ~ spl33_7
| spl33_509
| ~ spl33_56
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1602,f1486,f822,f7110,f558]) ).
fof(f7110,plain,
( spl33_509
<=> ! [X0,X1] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_509])]) ).
fof(f1602,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_56
| ~ spl33_154 ),
inference(resolution,[],[f1487,f823]) ).
fof(f7107,plain,
( ~ spl33_3
| ~ spl33_226
| ~ spl33_507
| spl33_508
| ~ spl33_31
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1338,f1306,f678,f7104,f7100,f2385,f538]) ).
fof(f7100,plain,
( spl33_507
<=> aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_507])]) ).
fof(f7104,plain,
( spl33_508
<=> xT = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_508])]) ).
fof(f678,plain,
( spl33_31
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f1338,plain,
( xT = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ spl33_31
| ~ spl33_128 ),
inference(resolution,[],[f1307,f680]) ).
fof(f680,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl33_31 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f7084,plain,
( ~ spl33_7
| spl33_506
| ~ spl33_56
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1336,f1306,f822,f7082,f558]) ).
fof(f7082,plain,
( spl33_506
<=> ! [X0] :
( szNzAzT0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(szNzAzT0,sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_506])]) ).
fof(f1336,plain,
( ! [X0] :
( szNzAzT0 = sdtlpdtrp0(xN,X0)
| ~ aSubsetOf0(szNzAzT0,sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_128 ),
inference(resolution,[],[f1307,f823]) ).
fof(f6925,plain,
( spl33_505
| ~ spl33_331
| ~ spl33_428 ),
inference(avatar_split_clause,[],[f5614,f5098,f3468,f6922]) ).
fof(f6922,plain,
( spl33_505
<=> slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_505])]) ).
fof(f5614,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc)))
| ~ spl33_331
| ~ spl33_428 ),
inference(resolution,[],[f5099,f3469]) ).
fof(f6865,plain,
( spl33_504
| ~ spl33_45
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1976,f1938,f758,f6863]) ).
fof(f6863,plain,
( spl33_504
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK32(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_504])]) ).
fof(f1976,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK32(X0,X1,X2)) )
| ~ spl33_45
| ~ spl33_179 ),
inference(duplicate_literal_removal,[],[f1965]) ).
fof(f1965,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK32(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_179 ),
inference(resolution,[],[f1939,f759]) ).
fof(f6861,plain,
( ~ spl33_7
| spl33_503
| ~ spl33_28
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1967,f1938,f659,f6859,f558]) ).
fof(f6859,plain,
( spl33_503
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP5(sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_503])]) ).
fof(f1967,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,szNzAzT0)) = X0
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(sK32(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_179 ),
inference(resolution,[],[f1939,f660]) ).
fof(f6857,plain,
( spl33_502
| ~ spl33_45
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1960,f1930,f758,f6855]) ).
fof(f6855,plain,
( spl33_502
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK27(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_502])]) ).
fof(f1960,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK27(X0,X1,X2)) )
| ~ spl33_45
| ~ spl33_178 ),
inference(duplicate_literal_removal,[],[f1947]) ).
fof(f1947,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| sP6(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK27(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_178 ),
inference(resolution,[],[f1931,f759]) ).
fof(f6829,plain,
( ~ spl33_7
| spl33_501
| ~ spl33_36
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1882,f1793,f699,f6827,f558]) ).
fof(f6827,plain,
( spl33_501
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sz00,sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_501])]) ).
fof(f1882,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK32(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_174 ),
inference(resolution,[],[f1794,f700]) ).
fof(f6784,plain,
( ~ spl33_7
| spl33_500
| ~ spl33_34
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1880,f1793,f691,f6782,f558]) ).
fof(f6782,plain,
( spl33_500
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| isFinite0(slbdtrb0(sK32(X0,X1,szNzAzT0)))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_500])]) ).
fof(f1880,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK32(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_174 ),
inference(resolution,[],[f1794,f692]) ).
fof(f6774,plain,
( ~ spl33_282
| spl33_255
| spl33_499
| ~ spl33_36
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1843,f1781,f699,f6772,f2684,f2896]) ).
fof(f6772,plain,
( spl33_499
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sdtlseqdt0(sz00,sK25(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_499])]) ).
fof(f1843,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,sK25(szNzAzT0,X0)) )
| ~ spl33_36
| ~ spl33_171 ),
inference(resolution,[],[f1782,f700]) ).
fof(f6766,plain,
( ~ spl33_282
| spl33_255
| spl33_498
| ~ spl33_34
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1841,f1781,f691,f6764,f2684,f2896]) ).
fof(f6764,plain,
( spl33_498
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| isFinite0(slbdtrb0(sK25(szNzAzT0,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_498])]) ).
fof(f1841,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(sK25(szNzAzT0,X0))) )
| ~ spl33_34
| ~ spl33_171 ),
inference(resolution,[],[f1782,f692]) ).
fof(f6719,plain,
( ~ spl33_7
| spl33_497
| ~ spl33_36
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1828,f1777,f699,f6717,f558]) ).
fof(f1828,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK15(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_170 ),
inference(resolution,[],[f1778,f700]) ).
fof(f6672,plain,
( ~ spl33_7
| spl33_496
| ~ spl33_34
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1826,f1777,f691,f6670,f558]) ).
fof(f1826,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK15(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_170 ),
inference(resolution,[],[f1778,f692]) ).
fof(f6668,plain,
( spl33_495
| ~ spl33_376
| ~ spl33_428 ),
inference(avatar_split_clause,[],[f5612,f5098,f4170,f6665]) ).
fof(f5612,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sK26(szDzozmdt0(xc))))
| ~ spl33_376
| ~ spl33_428 ),
inference(resolution,[],[f5099,f4171]) ).
fof(f6663,plain,
( spl33_494
| ~ spl33_26
| ~ spl33_164 ),
inference(avatar_split_clause,[],[f1732,f1708,f651,f6661]) ).
fof(f6661,plain,
( spl33_494
<=> ! [X0] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_494])]) ).
fof(f1732,plain,
( ! [X0] :
( aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_26
| ~ spl33_164 ),
inference(resolution,[],[f1709,f652]) ).
fof(f6659,plain,
( spl33_493
| ~ spl33_26
| ~ spl33_163 ),
inference(avatar_split_clause,[],[f1727,f1704,f651,f6657]) ).
fof(f6657,plain,
( spl33_493
<=> ! [X0] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_493])]) ).
fof(f1727,plain,
( ! [X0] :
( aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_26
| ~ spl33_163 ),
inference(resolution,[],[f1705,f652]) ).
fof(f6655,plain,
( spl33_492
| ~ spl33_61
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1679,f1632,f845,f6653]) ).
fof(f6653,plain,
( spl33_492
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sP11(X2,sK28(X0,szNzAzT0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_492])]) ).
fof(f1679,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sP11(X2,sK28(X0,szNzAzT0,X1))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_160 ),
inference(resolution,[],[f1633,f846]) ).
fof(f6651,plain,
( spl33_491
| ~ spl33_61
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1667,f1632,f845,f6649]) ).
fof(f6649,plain,
( spl33_491
<=> ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sP11(X2,sK28(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_491])]) ).
fof(f1667,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sP11(X2,sK28(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_160 ),
inference(resolution,[],[f1633,f846]) ).
fof(f6647,plain,
( spl33_490
| ~ spl33_35
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1571,f1470,f695,f6645]) ).
fof(f6645,plain,
( spl33_490
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sK29(X0,X1,szNzAzT0),sK29(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_490])]) ).
fof(f1571,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sK29(X0,X1,szNzAzT0),sK29(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_150 ),
inference(resolution,[],[f1471,f696]) ).
fof(f6643,plain,
( spl33_489
| ~ spl33_35
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1556,f1462,f695,f6641]) ).
fof(f6641,plain,
( spl33_489
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sK28(X0,X1,szNzAzT0),sK28(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_489])]) ).
fof(f1556,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sK28(X0,X1,szNzAzT0),sK28(X0,X1,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_148 ),
inference(resolution,[],[f1463,f696]) ).
fof(f6639,plain,
( spl33_488
| ~ spl33_112
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1411,f1363,f1185,f6637]) ).
fof(f6637,plain,
( spl33_488
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_488])]) ).
fof(f1411,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 )
| ~ spl33_112
| ~ spl33_137 ),
inference(duplicate_literal_removal,[],[f1395]) ).
fof(f1395,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl33_112
| ~ spl33_137 ),
inference(resolution,[],[f1364,f1186]) ).
fof(f6626,plain,
( ~ spl33_7
| spl33_487
| ~ spl33_58
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1407,f1363,f833,f6624,f558]) ).
fof(f6624,plain,
( spl33_487
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0)
| isFinite0(X0)
| ~ aElement0(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_487])]) ).
fof(f1407,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElement0(sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_58
| ~ spl33_137 ),
inference(resolution,[],[f1364,f834]) ).
fof(f6622,plain,
( spl33_486
| ~ spl33_37
| ~ spl33_136 ),
inference(avatar_split_clause,[],[f1393,f1359,f703,f6620]) ).
fof(f6620,plain,
( spl33_486
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ isFinite0(slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_486])]) ).
fof(f1359,plain,
( spl33_136
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_136])]) ).
fof(f1393,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ isFinite0(slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(X1,X0)) )
| ~ spl33_37
| ~ spl33_136 ),
inference(resolution,[],[f1360,f704]) ).
fof(f1360,plain,
( ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) )
| ~ spl33_136 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f6614,plain,
( spl33_485
| ~ spl33_112
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1266,f1193,f1185,f6612]) ).
fof(f6612,plain,
( spl33_485
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK20(X1,X0)),sK20(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_485])]) ).
fof(f1266,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK20(X1,X0)),sK20(X1,X0)) = X0 )
| ~ spl33_112
| ~ spl33_114 ),
inference(duplicate_literal_removal,[],[f1254]) ).
fof(f1254,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK20(X1,X0)),sK20(X1,X0)) = X0
| ~ aSet0(X0) )
| ~ spl33_112
| ~ spl33_114 ),
inference(resolution,[],[f1194,f1186]) ).
fof(f6610,plain,
( spl33_484
| ~ spl33_84
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1264,f1193,f1005,f6608]) ).
fof(f6608,plain,
( spl33_484
<=> ! [X0,X1] :
( aSubsetOf0(szDzozmdt0(X0),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aSet0(X1)
| aElement0(sdtlpdtrp0(X0,sK20(X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_484])]) ).
fof(f1264,plain,
( ! [X0,X1] :
( aSubsetOf0(szDzozmdt0(X0),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aSet0(X1)
| aElement0(sdtlpdtrp0(X0,sK20(X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_114 ),
inference(resolution,[],[f1194,f1006]) ).
fof(f6606,plain,
( spl33_483
| ~ spl33_64
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1247,f1185,f857,f6604]) ).
fof(f6604,plain,
( spl33_483
<=> ! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_483])]) ).
fof(f1247,plain,
( ! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_64
| ~ spl33_112 ),
inference(resolution,[],[f1186,f858]) ).
fof(f6532,plain,
( spl33_482
| ~ spl33_19
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1959,f1930,f618,f6530]) ).
fof(f6530,plain,
( spl33_482
<=> ! [X0,X1] :
( aElementOf0(sK27(X0,xN,X1),szNzAzT0)
| aElementOf0(sK27(X0,xN,X1),X1)
| sP6(X0,xN,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_482])]) ).
fof(f1959,plain,
( ! [X0,X1] :
( aElementOf0(sK27(X0,xN,X1),szNzAzT0)
| aElementOf0(sK27(X0,xN,X1),X1)
| sP6(X0,xN,X1)
| ~ aSet0(X1) )
| ~ spl33_19
| ~ spl33_178 ),
inference(superposition,[],[f1931,f620]) ).
fof(f6518,plain,
( ~ spl33_226
| ~ spl33_3
| spl33_481
| ~ spl33_31
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1604,f1486,f678,f6516,f538,f2385]) ).
fof(f1604,plain,
( ! [X0] :
( aSubsetOf0(X0,xT)
| ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0) )
| ~ spl33_31
| ~ spl33_154 ),
inference(resolution,[],[f1487,f680]) ).
fof(f6470,plain,
( ~ spl33_1
| spl33_480
| ~ spl33_84
| ~ spl33_430 ),
inference(avatar_split_clause,[],[f6055,f5106,f1005,f6467,f528]) ).
fof(f6055,plain,
( aElement0(sdtlpdtrp0(xc,sK26(szDzozmdt0(xc))))
| ~ aFunction0(xc)
| ~ spl33_84
| ~ spl33_430 ),
inference(resolution,[],[f5108,f1006]) ).
fof(f6268,plain,
( ~ spl33_9
| spl33_479
| ~ spl33_18
| ~ spl33_191 ),
inference(avatar_split_clause,[],[f2126,f2116,f614,f6266,f568]) ).
fof(f6266,plain,
( spl33_479
<=> ! [X0,X1] :
( sK15(X0,X1,slcrc0) = sdtlpdtrp0(X0,sK16(X0,X1,slcrc0))
| sP2(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_479])]) ).
fof(f2126,plain,
( ! [X0,X1] :
( sK15(X0,X1,slcrc0) = sdtlpdtrp0(X0,sK16(X0,X1,slcrc0))
| sP2(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_191 ),
inference(resolution,[],[f2117,f615]) ).
fof(f6264,plain,
( spl33_478
| ~ spl33_50
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1928,f1806,f778,f6262]) ).
fof(f6262,plain,
( spl33_478
<=> ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_478])]) ).
fof(f778,plain,
( spl33_50
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_50])]) ).
fof(f1928,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50
| ~ spl33_177 ),
inference(duplicate_literal_removal,[],[f1911]) ).
fof(f1911,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_50
| ~ spl33_177 ),
inference(resolution,[],[f1807,f779]) ).
fof(f779,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f6260,plain,
( spl33_477
| ~ spl33_45
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1887,f1793,f758,f6258]) ).
fof(f6258,plain,
( spl33_477
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK32(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_477])]) ).
fof(f1887,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK32(X0,X1,X2)) )
| ~ spl33_45
| ~ spl33_174 ),
inference(duplicate_literal_removal,[],[f1877]) ).
fof(f1877,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| sP10(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK32(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_174 ),
inference(resolution,[],[f1794,f759]) ).
fof(f6235,plain,
( ~ spl33_7
| spl33_476
| ~ spl33_28
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1879,f1793,f659,f6233,f558]) ).
fof(f6233,plain,
( spl33_476
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP5(sK32(X0,X1,szNzAzT0))
| sP10(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_476])]) ).
fof(f1879,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,szNzAzT0),X1)
| sP10(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(sK32(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_174 ),
inference(resolution,[],[f1794,f660]) ).
fof(f6231,plain,
( spl33_475
| ~ spl33_46
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1860,f1789,f762,f6229]) ).
fof(f6229,plain,
( spl33_475
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK31(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_475])]) ).
fof(f1860,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK31(X1,X2,X0)) )
| ~ spl33_46
| ~ spl33_173 ),
inference(duplicate_literal_removal,[],[f1854]) ).
fof(f1854,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK31(X1,X2,X0))
| ~ aSet0(X1) )
| ~ spl33_46
| ~ spl33_173 ),
inference(resolution,[],[f1790,f763]) ).
fof(f6227,plain,
( ~ spl33_282
| spl33_255
| spl33_474
| ~ spl33_28
| ~ spl33_171 ),
inference(avatar_split_clause,[],[f1840,f1781,f659,f6225,f2684,f2896]) ).
fof(f6225,plain,
( spl33_474
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sP5(sK25(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_474])]) ).
fof(f1840,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(sK25(szNzAzT0,X0)) )
| ~ spl33_28
| ~ spl33_171 ),
inference(resolution,[],[f1782,f660]) ).
fof(f6223,plain,
( spl33_473
| ~ spl33_45
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1833,f1777,f758,f6221]) ).
fof(f1833,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2)) )
| ~ spl33_45
| ~ spl33_170 ),
inference(duplicate_literal_removal,[],[f1823]) ).
fof(f1823,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK15(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_170 ),
inference(resolution,[],[f1778,f759]) ).
fof(f6177,plain,
( ~ spl33_222
| ~ spl33_428
| ~ spl33_62
| spl33_429 ),
inference(avatar_split_clause,[],[f5424,f5102,f849,f5098,f2367]) ).
fof(f849,plain,
( spl33_62
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_62])]) ).
fof(f5102,plain,
( spl33_429
<=> aSet0(sdtmndt0(szDzozmdt0(xc),sK26(szDzozmdt0(xc)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_429])]) ).
fof(f5424,plain,
( ~ aElement0(sK26(szDzozmdt0(xc)))
| ~ aSet0(szDzozmdt0(xc))
| ~ spl33_62
| spl33_429 ),
inference(resolution,[],[f5104,f850]) ).
fof(f850,plain,
( ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_62 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f5104,plain,
( ~ aSet0(sdtmndt0(szDzozmdt0(xc),sK26(szDzozmdt0(xc))))
| spl33_429 ),
inference(avatar_component_clause,[],[f5102]) ).
fof(f6176,plain,
( ~ spl33_7
| spl33_472
| ~ spl33_28
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1825,f1777,f659,f6174,f558]) ).
fof(f1825,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,szNzAzT0),X1)
| sP2(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(sK15(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_170 ),
inference(resolution,[],[f1778,f660]) ).
fof(f6172,plain,
( spl33_471
| ~ spl33_61
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1574,f1470,f845,f6170]) ).
fof(f6170,plain,
( spl33_471
<=> ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sP11(X2,sK29(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_471])]) ).
fof(f1574,plain,
( ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sP11(X2,sK29(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_150 ),
inference(resolution,[],[f1471,f846]) ).
fof(f6168,plain,
( spl33_470
| ~ spl33_61
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1559,f1462,f845,f6166]) ).
fof(f6166,plain,
( spl33_470
<=> ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sP11(X2,sK28(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_470])]) ).
fof(f1559,plain,
( ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sP11(X2,sK28(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_148 ),
inference(resolution,[],[f1463,f846]) ).
fof(f6164,plain,
( spl33_469
| ~ spl33_97
| ~ spl33_147 ),
inference(avatar_split_clause,[],[f1549,f1458,f1058,f6162]) ).
fof(f6162,plain,
( spl33_469
<=> ! [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,[spl33_469])]) ).
fof(f1058,plain,
( spl33_97
<=> ! [X0,X1] :
( sP8(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_97])]) ).
fof(f1458,plain,
( spl33_147
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_147])]) ).
fof(f1549,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) )
| ~ spl33_97
| ~ spl33_147 ),
inference(resolution,[],[f1459,f1059]) ).
fof(f1059,plain,
( ! [X0,X1] :
( sP8(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_97 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1459,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl33_147 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f6160,plain,
( spl33_468
| ~ spl33_61
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1528,f1454,f845,f6158]) ).
fof(f6158,plain,
( spl33_468
<=> ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sP11(X2,sK22(X0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_468])]) ).
fof(f1528,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sP11(X2,sK22(X0,X1))
| ~ aSet0(X2) )
| ~ spl33_61
| ~ spl33_146 ),
inference(resolution,[],[f1455,f846]) ).
fof(f6156,plain,
( spl33_467
| ~ spl33_35
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1525,f1454,f695,f6154]) ).
fof(f6154,plain,
( spl33_467
<=> ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK22(X0,X1),sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_467])]) ).
fof(f1525,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK22(X0,X1),sK22(X0,X1)) )
| ~ spl33_35
| ~ spl33_146 ),
inference(resolution,[],[f1455,f696]) ).
fof(f6100,plain,
( ~ spl33_7
| spl33_466
| ~ spl33_90
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1245,f1185,f1030,f6098,f558]) ).
fof(f1245,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK21(X0)),sK21(X0))
| ~ aSet0(szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_90
| ~ spl33_112 ),
inference(resolution,[],[f1186,f1031]) ).
fof(f6096,plain,
( spl33_465
| ~ spl33_96
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1238,f1185,f1054,f6094]) ).
fof(f6094,plain,
( spl33_465
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_465])]) ).
fof(f1238,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_96
| ~ spl33_112 ),
inference(resolution,[],[f1186,f1055]) ).
fof(f6054,plain,
( ~ spl33_282
| spl33_255
| spl33_463
| spl33_464
| ~ spl33_96
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1158,f1117,f1054,f6051,f6047,f2684,f2896]) ).
fof(f6051,plain,
( spl33_464
<=> sz00 = szmzizndt0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_464])]) ).
fof(f1158,plain,
( sz00 = szmzizndt0(szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(sK21(szmzizndt0(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl33_96
| ~ spl33_102 ),
inference(resolution,[],[f1118,f1055]) ).
fof(f6045,plain,
( spl33_462
| ~ spl33_90
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1155,f1117,f1030,f6043]) ).
fof(f6043,plain,
( spl33_462
<=> ! [X0] :
( sz00 = sK21(X0)
| sK21(X0) = szszuzczcdt0(sK21(sK21(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_462])]) ).
fof(f1155,plain,
( ! [X0] :
( sz00 = sK21(X0)
| sK21(X0) = szszuzczcdt0(sK21(sK21(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_90
| ~ spl33_102 ),
inference(resolution,[],[f1118,f1031]) ).
fof(f6041,plain,
( spl33_461
| ~ spl33_92
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1142,f1113,f1038,f6039]) ).
fof(f6039,plain,
( spl33_461
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK24(X1)))
| ~ aSet0(slbdtrb0(sK24(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_461])]) ).
fof(f1142,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK24(X1)))
| ~ aSet0(slbdtrb0(sK24(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_92
| ~ spl33_101 ),
inference(resolution,[],[f1114,f1039]) ).
fof(f6032,plain,
( ~ spl33_17
| ~ spl33_16
| ~ spl33_5
| spl33_460
| ~ spl33_23
| ~ spl33_193 ),
inference(avatar_split_clause,[],[f2149,f2140,f638,f6029,f548,f604,f609]) ).
fof(f2149,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_23
| ~ spl33_193 ),
inference(superposition,[],[f2141,f640]) ).
fof(f5985,plain,
( ~ spl33_15
| spl33_459
| ~ spl33_20
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1908,f1802,f623,f5983,f599]) ).
fof(f5983,plain,
( spl33_459
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0
| aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_459])]) ).
fof(f1908,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xK))
| aElementOf0(X0,slbdtrb0(xk))
| xk = X0
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_176 ),
inference(superposition,[],[f1803,f625]) ).
fof(f5972,plain,
( ~ spl33_258
| spl33_458
| ~ spl33_14
| ~ spl33_58
| ~ spl33_66 ),
inference(avatar_split_clause,[],[f895,f890,f833,f594,f5969,f2732]) ).
fof(f895,plain,
( ~ aElementOf0(xK,szNzAzT0)
| isFinite0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ spl33_58
| ~ spl33_66 ),
inference(superposition,[],[f834,f892]) ).
fof(f5967,plain,
( ~ spl33_222
| spl33_313
| ~ spl33_74
| spl33_430 ),
inference(avatar_split_clause,[],[f5339,f5106,f926,f3345,f2367]) ).
fof(f5339,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| ~ spl33_74
| spl33_430 ),
inference(resolution,[],[f5107,f927]) ).
fof(f5107,plain,
( ~ aElementOf0(sK26(szDzozmdt0(xc)),szDzozmdt0(xc))
| spl33_430 ),
inference(avatar_component_clause,[],[f5106]) ).
fof(f5481,plain,
( spl33_457
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2111,f2076,f5479]) ).
fof(f5479,plain,
( spl33_457
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sK29(X0,X1,X1) = X0
| sP9(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_457])]) ).
fof(f2111,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sK29(X0,X1,X1) = X0
| sP9(X0,X1,X1) )
| ~ spl33_189 ),
inference(factoring,[],[f2077]) ).
fof(f5477,plain,
( spl33_456
| ~ spl33_18
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2101,f2076,f614,f5475]) ).
fof(f5475,plain,
( spl33_456
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,slcrc0,X1),X1)
| sK29(X0,slcrc0,X1) = X0
| sP9(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_456])]) ).
fof(f2101,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,slcrc0,X1),X1)
| sK29(X0,slcrc0,X1) = X0
| sP9(X0,slcrc0,X1) )
| ~ spl33_18
| ~ spl33_189 ),
inference(resolution,[],[f2077,f615]) ).
fof(f5473,plain,
( spl33_455
| ~ spl33_18
| ~ spl33_189 ),
inference(avatar_split_clause,[],[f2087,f2076,f614,f5471]) ).
fof(f2087,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,slcrc0),X1)
| sK29(X0,X1,slcrc0) = X0
| sP9(X0,X1,slcrc0) )
| ~ spl33_18
| ~ spl33_189 ),
inference(resolution,[],[f2077,f615]) ).
fof(f5469,plain,
( spl33_313
| ~ spl33_222
| ~ spl33_256
| spl33_428 ),
inference(avatar_split_clause,[],[f5269,f5098,f2689,f2367,f3345]) ).
fof(f2689,plain,
( spl33_256
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_256])]) ).
fof(f5269,plain,
( ~ aSet0(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| ~ spl33_256
| spl33_428 ),
inference(resolution,[],[f5100,f2690]) ).
fof(f2690,plain,
( ! [X0] :
( aElement0(sK26(X0))
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl33_256 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f5100,plain,
( ~ aElement0(sK26(szDzozmdt0(xc)))
| spl33_428 ),
inference(avatar_component_clause,[],[f5098]) ).
fof(f5468,plain,
( spl33_454
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1958,f1930,f5466]) ).
fof(f1958,plain,
( ! [X0,X1] :
( aElementOf0(sK27(X0,X1,szDzozmdt0(X1)),szDzozmdt0(X1))
| sP6(X0,X1,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_178 ),
inference(factoring,[],[f1931]) ).
fof(f5456,plain,
( ~ spl33_9
| ~ spl33_6
| spl33_453
| ~ spl33_41
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1762,f1720,f720,f5454,f553,f568]) ).
fof(f553,plain,
( spl33_6
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f720,plain,
( spl33_41
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_41])]) ).
fof(f1762,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| sbrdtbr0(sK30(slcrc0,X0)) = X0
| ~ isFinite0(slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slcrc0) )
| ~ spl33_41
| ~ spl33_167 ),
inference(superposition,[],[f1721,f722]) ).
fof(f722,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl33_41 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f5452,plain,
( spl33_452
| ~ spl33_36
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1677,f1632,f699,f5450]) ).
fof(f5450,plain,
( spl33_452
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK28(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_452])]) ).
fof(f1677,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK28(X0,szNzAzT0,X1)) )
| ~ spl33_36
| ~ spl33_160 ),
inference(resolution,[],[f1633,f700]) ).
fof(f5448,plain,
( spl33_451
| ~ spl33_34
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1675,f1632,f691,f5446]) ).
fof(f5446,plain,
( spl33_451
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK28(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_451])]) ).
fof(f1675,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK28(X0,szNzAzT0,X1))) )
| ~ spl33_34
| ~ spl33_160 ),
inference(resolution,[],[f1633,f692]) ).
fof(f5444,plain,
( spl33_450
| ~ spl33_36
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1665,f1632,f699,f5442]) ).
fof(f5442,plain,
( spl33_450
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_450])]) ).
fof(f1665,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_160 ),
inference(resolution,[],[f1633,f700]) ).
fof(f5440,plain,
( spl33_449
| ~ spl33_34
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1663,f1632,f691,f5438]) ).
fof(f5438,plain,
( spl33_449
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_449])]) ).
fof(f1663,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_160 ),
inference(resolution,[],[f1633,f692]) ).
fof(f5436,plain,
( spl33_448
| ~ spl33_45
| ~ spl33_155 ),
inference(avatar_split_clause,[],[f1610,f1490,f758,f5434]) ).
fof(f5434,plain,
( spl33_448
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sK14(X0,X1,szDzozmdt0(X0)))
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_448])]) ).
fof(f1610,plain,
( ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sK14(X0,X1,szDzozmdt0(X0)))
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_45
| ~ spl33_155 ),
inference(resolution,[],[f1491,f759]) ).
fof(f5432,plain,
( spl33_447
| ~ spl33_45
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1595,f1482,f758,f5430]) ).
fof(f5430,plain,
( spl33_447
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_447])]) ).
fof(f1595,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl33_45
| ~ spl33_153 ),
inference(resolution,[],[f1483,f759]) ).
fof(f5428,plain,
( spl33_446
| ~ spl33_74
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1522,f1450,f926,f5426]) ).
fof(f5426,plain,
( spl33_446
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK26(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_446])]) ).
fof(f1522,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK26(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl33_74
| ~ spl33_145 ),
inference(duplicate_literal_removal,[],[f1503]) ).
fof(f1503,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK26(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl33_74
| ~ spl33_145 ),
inference(resolution,[],[f1451,f927]) ).
fof(f5423,plain,
( spl33_445
| ~ spl33_78
| ~ spl33_144 ),
inference(avatar_split_clause,[],[f1502,f1446,f942,f5421]) ).
fof(f942,plain,
( spl33_78
<=> ! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_78])]) ).
fof(f1446,plain,
( spl33_144
<=> ! [X0,X6,X2,X1] :
( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_144])]) ).
fof(f1502,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| sdtlpdtrp0(X1,sK17(X1,X2,X0)) = X0
| ~ sP3(X2,X1) )
| ~ spl33_78
| ~ spl33_144 ),
inference(resolution,[],[f1447,f943]) ).
fof(f943,plain,
( ! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) )
| ~ spl33_78 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1447,plain,
( ! [X2,X0,X1,X6] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X6,X2)
| sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6 )
| ~ spl33_144 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f5419,plain,
( spl33_444
| ~ spl33_127
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1419,f1371,f1302,f5417]) ).
fof(f5417,plain,
( spl33_444
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP4(szszuzczcdt0(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_444])]) ).
fof(f1419,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP4(szszuzczcdt0(X1),X2) )
| ~ spl33_127
| ~ spl33_139 ),
inference(duplicate_literal_removal,[],[f1416]) ).
fof(f1416,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(szszuzczcdt0(X1),X2) )
| ~ spl33_127
| ~ spl33_139 ),
inference(resolution,[],[f1372,f1303]) ).
fof(f5415,plain,
( ~ spl33_7
| spl33_443
| ~ spl33_61
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1403,f1363,f845,f5413,f558]) ).
fof(f5413,plain,
( spl33_443
<=> ! [X0,X1] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(X1)
| sP11(X1,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_443])]) ).
fof(f1403,plain,
( ! [X0,X1] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP11(X1,X0)
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_137 ),
inference(resolution,[],[f1364,f846]) ).
fof(f5391,plain,
( ~ spl33_7
| spl33_442
| ~ spl33_60
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1402,f1363,f841,f5389,f558]) ).
fof(f5389,plain,
( spl33_442
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_442])]) ).
fof(f1402,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl33_60
| ~ spl33_137 ),
inference(resolution,[],[f1364,f842]) ).
fof(f5387,plain,
( spl33_441
| ~ spl33_79
| ~ spl33_132 ),
inference(avatar_split_clause,[],[f1347,f1322,f946,f5385]) ).
fof(f5385,plain,
( spl33_441
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| aElementOf0(X0,sdtlbdtrb0(X1,sdtlpdtrp0(X1,X0)))
| ~ sP7(X1,sdtlpdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_441])]) ).
fof(f1322,plain,
( spl33_132
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(sdtlpdtrp0(X1,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_132])]) ).
fof(f1347,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| aElementOf0(X0,sdtlbdtrb0(X1,sdtlpdtrp0(X1,X0)))
| ~ sP7(X1,sdtlpdtrp0(X1,X0)) )
| ~ spl33_79
| ~ spl33_132 ),
inference(resolution,[],[f1323,f947]) ).
fof(f1323,plain,
( ! [X2,X1,X4] :
( ~ sP6(sdtlpdtrp0(X1,X4),X1,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| aElementOf0(X4,X2) )
| ~ spl33_132 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f5355,plain,
( ~ spl33_7
| spl33_440
| ~ spl33_60
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1261,f1193,f841,f5353,f558]) ).
fof(f1261,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sK20(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK20(X0,szNzAzT0))) )
| ~ spl33_60
| ~ spl33_114 ),
inference(resolution,[],[f1194,f842]) ).
fof(f5338,plain,
( ~ spl33_7
| spl33_439
| ~ spl33_73
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1246,f1185,f922,f5336,f558]) ).
fof(f5336,plain,
( spl33_439
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK24(X0)),sK24(X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_439])]) ).
fof(f1246,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK24(X0)),sK24(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_73
| ~ spl33_112 ),
inference(resolution,[],[f1186,f923]) ).
fof(f5301,plain,
( ~ spl33_7
| spl33_255
| spl33_437
| spl33_438
| ~ spl33_74
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1157,f1117,f926,f5298,f5294,f2684,f558]) ).
fof(f5298,plain,
( spl33_438
<=> sz00 = sK26(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_438])]) ).
fof(f1157,plain,
( sz00 = sK26(szNzAzT0)
| sK26(szNzAzT0) = szszuzczcdt0(sK21(sK26(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| ~ spl33_74
| ~ spl33_102 ),
inference(resolution,[],[f1118,f927]) ).
fof(f5292,plain,
( spl33_436
| ~ spl33_73
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1156,f1117,f922,f5290]) ).
fof(f5290,plain,
( spl33_436
<=> ! [X0] :
( sz00 = sK24(X0)
| sK24(X0) = szszuzczcdt0(sK21(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_436])]) ).
fof(f1156,plain,
( ! [X0] :
( sz00 = sK24(X0)
| sK24(X0) = szszuzczcdt0(sK21(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_73
| ~ spl33_102 ),
inference(resolution,[],[f1118,f923]) ).
fof(f5288,plain,
( spl33_435
| ~ spl33_93
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1145,f1113,f1042,f5286]) ).
fof(f5286,plain,
( spl33_435
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_435])]) ).
fof(f1145,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) )
| ~ spl33_93
| ~ spl33_101 ),
inference(resolution,[],[f1114,f1043]) ).
fof(f5284,plain,
( spl33_434
| ~ spl33_84
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1105,f1054,f1005,f5282]) ).
fof(f5282,plain,
( spl33_434
<=> ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzizndt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_434])]) ).
fof(f1105,plain,
( ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzizndt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_96 ),
inference(resolution,[],[f1055,f1006]) ).
fof(f5273,plain,
( ~ spl33_17
| spl33_433
| ~ spl33_23
| ~ spl33_169 ),
inference(avatar_split_clause,[],[f1772,f1769,f638,f5271,f609]) ).
fof(f5271,plain,
( spl33_433
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_433])]) ).
fof(f1769,plain,
( spl33_169
<=> ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_169])]) ).
fof(f1772,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_23
| ~ spl33_169 ),
inference(superposition,[],[f1770,f640]) ).
fof(f1770,plain,
( ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_169 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f5265,plain,
( ~ spl33_184
| ~ spl33_14
| spl33_432
| ~ spl33_29
| ~ spl33_168 ),
inference(avatar_split_clause,[],[f1767,f1724,f668,f5263,f594,f2027]) ).
fof(f5263,plain,
( spl33_432
<=> ! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| isFinite0(sK31(xS,xK,X0))
| ~ isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_432])]) ).
fof(f1767,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| ~ isFinite0(X0)
| isFinite0(sK31(xS,xK,X0))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS) )
| ~ spl33_29
| ~ spl33_168 ),
inference(superposition,[],[f1725,f670]) ).
fof(f5261,plain,
( spl33_431
| ~ spl33_66
| ~ spl33_113 ),
inference(avatar_split_clause,[],[f1251,f1189,f890,f5259]) ).
fof(f5259,plain,
( spl33_431
<=> ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_431])]) ).
fof(f1251,plain,
( ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_66
| ~ spl33_113 ),
inference(superposition,[],[f1190,f892]) ).
fof(f5109,plain,
( ~ spl33_428
| ~ spl33_429
| spl33_430
| ~ spl33_284
| ~ spl33_421 ),
inference(avatar_split_clause,[],[f4918,f4814,f2917,f5106,f5102,f5098]) ).
fof(f2917,plain,
( spl33_284
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_284])]) ).
fof(f4814,plain,
( spl33_421
<=> szDzozmdt0(xc) = sdtpldt0(sdtmndt0(szDzozmdt0(xc),sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_421])]) ).
fof(f4918,plain,
( aElementOf0(sK26(szDzozmdt0(xc)),szDzozmdt0(xc))
| ~ aSet0(sdtmndt0(szDzozmdt0(xc),sK26(szDzozmdt0(xc))))
| ~ aElement0(sK26(szDzozmdt0(xc)))
| ~ spl33_284
| ~ spl33_421 ),
inference(superposition,[],[f2918,f4816]) ).
fof(f4816,plain,
( szDzozmdt0(xc) = sdtpldt0(sdtmndt0(szDzozmdt0(xc),sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc)))
| ~ spl33_421 ),
inference(avatar_component_clause,[],[f4814]) ).
fof(f2918,plain,
( ! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_284 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f4841,plain,
( spl33_427
| ~ spl33_72
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1691,f1636,f918,f4839]) ).
fof(f1691,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK30(X1,X0)) )
| ~ spl33_72
| ~ spl33_161 ),
inference(duplicate_literal_removal,[],[f1686]) ).
fof(f1686,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK30(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_72
| ~ spl33_161 ),
inference(resolution,[],[f1637,f919]) ).
fof(f4837,plain,
( spl33_426
| ~ spl33_46
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1690,f1636,f762,f4835]) ).
fof(f1690,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK30(X1,X0)) )
| ~ spl33_46
| ~ spl33_161 ),
inference(duplicate_literal_removal,[],[f1687]) ).
fof(f1687,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK30(X1,X0))
| ~ aSet0(X1) )
| ~ spl33_46
| ~ spl33_161 ),
inference(resolution,[],[f1637,f763]) ).
fof(f4833,plain,
( spl33_425
| ~ spl33_28
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1674,f1632,f659,f4831]) ).
fof(f4831,plain,
( spl33_425
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sP5(sK28(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_425])]) ).
fof(f1674,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,szNzAzT0,X1),X1)
| sP8(X0,szNzAzT0,X1)
| sP5(sK28(X0,szNzAzT0,X1)) )
| ~ spl33_28
| ~ spl33_160 ),
inference(resolution,[],[f1633,f660]) ).
fof(f4829,plain,
( spl33_424
| ~ spl33_28
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1662,f1632,f659,f4827]) ).
fof(f4827,plain,
( spl33_424
<=> ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sP5(sK28(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_424])]) ).
fof(f1662,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,szNzAzT0),X1)
| sP8(X0,X1,szNzAzT0)
| sP5(sK28(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_160 ),
inference(resolution,[],[f1633,f660]) ).
fof(f4825,plain,
( spl33_423
| ~ spl33_45
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1655,f1628,f758,f4823]) ).
fof(f4823,plain,
( spl33_423
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_423])]) ).
fof(f1655,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1)) )
| ~ spl33_45
| ~ spl33_159 ),
inference(duplicate_literal_removal,[],[f1645]) ).
fof(f1645,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1))
| ~ aSet0(X1) )
| ~ spl33_45
| ~ spl33_159 ),
inference(resolution,[],[f1629,f759]) ).
fof(f4821,plain,
( spl33_422
| ~ spl33_48
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f1639,f1628,f770,f4819]) ).
fof(f1639,plain,
( ! [X0] :
( aElementOf0(sK22(sz00,X0),X0)
| sP4(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK22(sz00,X0),szNzAzT0) )
| ~ spl33_48
| ~ spl33_159 ),
inference(resolution,[],[f1629,f771]) ).
fof(f4817,plain,
( spl33_313
| spl33_421
| ~ spl33_222
| ~ spl33_387 ),
inference(avatar_split_clause,[],[f4555,f4418,f2367,f4814,f3345]) ).
fof(f4555,plain,
( szDzozmdt0(xc) = sdtpldt0(sdtmndt0(szDzozmdt0(xc),sK26(szDzozmdt0(xc))),sK26(szDzozmdt0(xc)))
| slcrc0 = szDzozmdt0(xc)
| ~ spl33_222
| ~ spl33_387 ),
inference(resolution,[],[f4419,f2368]) ).
fof(f4812,plain,
( spl33_420
| ~ spl33_84
| ~ spl33_155 ),
inference(avatar_split_clause,[],[f1612,f1490,f1005,f4810]) ).
fof(f4810,plain,
( spl33_420
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_420])]) ).
fof(f1612,plain,
( ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0)))) )
| ~ spl33_84
| ~ spl33_155 ),
inference(duplicate_literal_removal,[],[f1607]) ).
fof(f1607,plain,
( ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl33_84
| ~ spl33_155 ),
inference(resolution,[],[f1491,f1006]) ).
fof(f4808,plain,
( spl33_419
| ~ spl33_50
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1592,f1478,f778,f4806]) ).
fof(f4806,plain,
( spl33_419
<=> ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_419])]) ).
fof(f1592,plain,
( ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ spl33_50
| ~ spl33_152 ),
inference(duplicate_literal_removal,[],[f1580]) ).
fof(f1580,plain,
( ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50
| ~ spl33_152 ),
inference(resolution,[],[f1479,f779]) ).
fof(f4804,plain,
( spl33_418
| ~ spl33_36
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1572,f1470,f699,f4802]) ).
fof(f4802,plain,
( spl33_418
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK29(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_418])]) ).
fof(f1572,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK29(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_150 ),
inference(resolution,[],[f1471,f700]) ).
fof(f4800,plain,
( spl33_417
| ~ spl33_34
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1570,f1470,f691,f4798]) ).
fof(f4798,plain,
( spl33_417
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK29(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_417])]) ).
fof(f1570,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK29(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_150 ),
inference(resolution,[],[f1471,f692]) ).
fof(f4796,plain,
( spl33_416
| ~ spl33_36
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1557,f1462,f699,f4794]) ).
fof(f4794,plain,
( spl33_416
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_416])]) ).
fof(f1557,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK28(X0,X1,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_148 ),
inference(resolution,[],[f1463,f700]) ).
fof(f4792,plain,
( spl33_415
| ~ spl33_34
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1555,f1462,f691,f4790]) ).
fof(f4790,plain,
( spl33_415
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_415])]) ).
fof(f1555,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK28(X0,X1,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_148 ),
inference(resolution,[],[f1463,f692]) ).
fof(f4788,plain,
( spl33_414
| ~ spl33_36
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1526,f1454,f699,f4786]) ).
fof(f1526,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK22(X0,X1)) )
| ~ spl33_36
| ~ spl33_146 ),
inference(resolution,[],[f1455,f700]) ).
fof(f4784,plain,
( spl33_413
| ~ spl33_34
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1524,f1454,f691,f4782]) ).
fof(f1524,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK22(X0,X1))) )
| ~ spl33_34
| ~ spl33_146 ),
inference(resolution,[],[f1455,f692]) ).
fof(f4780,plain,
( spl33_412
| ~ spl33_46
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1431,f1379,f762,f4778]) ).
fof(f4778,plain,
( spl33_412
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_412])]) ).
fof(f1431,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl33_46
| ~ spl33_141 ),
inference(resolution,[],[f1380,f763]) ).
fof(f4776,plain,
( spl33_411
| ~ spl33_77
| ~ spl33_135 ),
inference(avatar_split_clause,[],[f1392,f1355,f938,f4774]) ).
fof(f4774,plain,
( spl33_411
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| sdtlpdtrp0(X2,X0) = sdtlpdtrp0(sdtexdt0(X2,X1),X0)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_411])]) ).
fof(f938,plain,
( spl33_77
<=> ! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_77])]) ).
fof(f1355,plain,
( spl33_135
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_135])]) ).
fof(f1392,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| sdtlpdtrp0(X2,X0) = sdtlpdtrp0(sdtexdt0(X2,X1),X0)
| ~ sP1(X1,X2) )
| ~ spl33_77
| ~ spl33_135 ),
inference(resolution,[],[f1356,f939]) ).
fof(f939,plain,
( ! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) )
| ~ spl33_77 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f1356,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4) )
| ~ spl33_135 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f4772,plain,
( spl33_410
| ~ spl33_127
| ~ spl33_130 ),
inference(avatar_split_clause,[],[f1345,f1314,f1302,f4770]) ).
fof(f4770,plain,
( spl33_410
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP4(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_410])]) ).
fof(f1345,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP4(X0,X2) )
| ~ spl33_127
| ~ spl33_130 ),
inference(duplicate_literal_removal,[],[f1343]) ).
fof(f1343,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sP4(X0,X2) )
| ~ spl33_127
| ~ spl33_130 ),
inference(resolution,[],[f1315,f1303]) ).
fof(f4768,plain,
( spl33_409
| ~ spl33_99
| ~ spl33_129 ),
inference(avatar_split_clause,[],[f1341,f1310,f1067,f4766]) ).
fof(f4766,plain,
( spl33_409
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_409])]) ).
fof(f1067,plain,
( spl33_99
<=> ! [X0,X1] :
( sP9(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_99])]) ).
fof(f1310,plain,
( spl33_129
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_129])]) ).
fof(f1341,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl33_99
| ~ spl33_129 ),
inference(resolution,[],[f1311,f1068]) ).
fof(f1068,plain,
( ! [X0,X1] :
( sP9(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_99 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1311,plain,
( ! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 )
| ~ spl33_129 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f4764,plain,
( spl33_408
| ~ spl33_50
| ~ spl33_127 ),
inference(avatar_split_clause,[],[f1331,f1302,f778,f4762]) ).
fof(f4762,plain,
( spl33_408
<=> ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_408])]) ).
fof(f1331,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ spl33_50
| ~ spl33_127 ),
inference(resolution,[],[f1303,f779]) ).
fof(f4736,plain,
( ~ spl33_7
| spl33_407
| ~ spl33_59
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1241,f1185,f837,f4734,f558]) ).
fof(f1241,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_112 ),
inference(resolution,[],[f1186,f838]) ).
fof(f4732,plain,
( spl33_406
| ~ spl33_59
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1151,f1117,f837,f4730]) ).
fof(f4730,plain,
( spl33_406
<=> ! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK21(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_406])]) ).
fof(f1151,plain,
( ! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK21(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_102 ),
inference(resolution,[],[f1118,f838]) ).
fof(f4728,plain,
( spl33_405
| ~ spl33_74
| ~ spl33_84 ),
inference(avatar_split_clause,[],[f1070,f1005,f926,f4726]) ).
fof(f4726,plain,
( spl33_405
<=> ! [X0] :
( aElement0(sdtlpdtrp0(X0,sK26(szDzozmdt0(X0))))
| ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_405])]) ).
fof(f1070,plain,
( ! [X0] :
( aElement0(sdtlpdtrp0(X0,sK26(szDzozmdt0(X0))))
| ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_74
| ~ spl33_84 ),
inference(resolution,[],[f1006,f927]) ).
fof(f4719,plain,
( spl33_404
| ~ spl33_28
| ~ spl33_401 ),
inference(avatar_split_clause,[],[f4691,f4684,f659,f4716]) ).
fof(f4716,plain,
( spl33_404
<=> sP5(sK18(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_404])]) ).
fof(f4684,plain,
( spl33_401
<=> aElementOf0(sK18(xN),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_401])]) ).
fof(f4691,plain,
( sP5(sK18(xN))
| ~ spl33_28
| ~ spl33_401 ),
inference(resolution,[],[f4686,f660]) ).
fof(f4686,plain,
( aElementOf0(sK18(xN),szNzAzT0)
| ~ spl33_401 ),
inference(avatar_component_clause,[],[f4684]) ).
fof(f4714,plain,
( ~ spl33_2
| spl33_403
| spl33_402
| ~ spl33_19
| ~ spl33_164 ),
inference(avatar_split_clause,[],[f1735,f1708,f618,f4688,f4711,f533]) ).
fof(f4711,plain,
( spl33_403
<=> aElementOf0(sK19(xN),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_403])]) ).
fof(f4688,plain,
( spl33_402
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ isCountable0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_402])]) ).
fof(f1735,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK19(xN),szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_164 ),
inference(superposition,[],[f1709,f620]) ).
fof(f4690,plain,
( ~ spl33_2
| spl33_401
| spl33_402
| ~ spl33_19
| ~ spl33_163 ),
inference(avatar_split_clause,[],[f1730,f1704,f618,f4688,f4684,f533]) ).
fof(f1730,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK18(xN),szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_163 ),
inference(superposition,[],[f1705,f620]) ).
fof(f4492,plain,
( ~ spl33_9
| spl33_400
| ~ spl33_18
| ~ spl33_182 ),
inference(avatar_split_clause,[],[f2013,f1988,f614,f4490,f568]) ).
fof(f2013,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK27(X1,X0,slcrc0)) = X1
| sP6(X1,X0,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_182 ),
inference(resolution,[],[f1989,f615]) ).
fof(f4488,plain,
( spl33_399
| ~ spl33_28
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1569,f1470,f659,f4486]) ).
fof(f4486,plain,
( spl33_399
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sP5(sK29(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_399])]) ).
fof(f1569,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,szNzAzT0))
| sP9(X0,X1,szNzAzT0)
| sP5(sK29(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_150 ),
inference(resolution,[],[f1471,f660]) ).
fof(f4484,plain,
( spl33_398
| ~ spl33_28
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1554,f1462,f659,f4482]) ).
fof(f4482,plain,
( spl33_398
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sP5(sK28(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_398])]) ).
fof(f1554,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,szNzAzT0))
| sP8(X0,X1,szNzAzT0)
| sP5(sK28(X0,X1,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_148 ),
inference(resolution,[],[f1463,f660]) ).
fof(f4480,plain,
( spl33_397
| ~ spl33_45
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1546,f1454,f758,f4478]) ).
fof(f1546,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1)) )
| ~ spl33_45
| ~ spl33_146 ),
inference(duplicate_literal_removal,[],[f1535]) ).
fof(f1535,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| sP4(X0,X1)
| ~ aSet0(X1)
| aElement0(sK22(X0,X1))
| ~ aSet0(X1) )
| ~ spl33_45
| ~ spl33_146 ),
inference(resolution,[],[f1455,f759]) ).
fof(f4476,plain,
( spl33_396
| ~ spl33_28
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1523,f1454,f659,f4474]) ).
fof(f1523,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| sP5(sK22(X0,X1)) )
| ~ spl33_28
| ~ spl33_146 ),
inference(resolution,[],[f1455,f660]) ).
fof(f4472,plain,
( ~ spl33_7
| spl33_395
| ~ spl33_235
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f2492,f2488,f2428,f4469,f558]) ).
fof(f4469,plain,
( spl33_395
<=> sP3(slcrc0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_395])]) ).
fof(f2492,plain,
( sP3(slcrc0,xN)
| ~ aSet0(szNzAzT0)
| ~ spl33_235
| ~ spl33_240 ),
inference(resolution,[],[f2489,f2429]) ).
fof(f4463,plain,
( ~ spl33_7
| spl33_394
| ~ spl33_36
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1401,f1363,f699,f4461,f558]) ).
fof(f4461,plain,
( spl33_394
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sdtlseqdt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_394])]) ).
fof(f1401,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sdtlseqdt0(sz00,X0) )
| ~ spl33_36
| ~ spl33_137 ),
inference(resolution,[],[f1364,f700]) ).
fof(f4451,plain,
( ~ spl33_7
| spl33_393
| ~ spl33_35
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1400,f1363,f695,f4449,f558]) ).
fof(f4449,plain,
( spl33_393
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_393])]) ).
fof(f1400,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sdtlseqdt0(X0,X0) )
| ~ spl33_35
| ~ spl33_137 ),
inference(resolution,[],[f1364,f696]) ).
fof(f4445,plain,
( ~ spl33_7
| spl33_392
| ~ spl33_34
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1399,f1363,f691,f4443,f558]) ).
fof(f4443,plain,
( spl33_392
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| isFinite0(slbdtrb0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_392])]) ).
fof(f1399,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl33_34
| ~ spl33_137 ),
inference(resolution,[],[f1364,f692]) ).
fof(f4441,plain,
( spl33_391
| ~ spl33_78
| ~ spl33_126 ),
inference(avatar_split_clause,[],[f1330,f1298,f942,f4439]) ).
fof(f1298,plain,
( spl33_126
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_126])]) ).
fof(f1330,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK17(X1,X2,X0),X2)
| ~ sP3(X2,X1) )
| ~ spl33_78
| ~ spl33_126 ),
inference(resolution,[],[f1299,f943]) ).
fof(f1299,plain,
( ! [X2,X0,X1,X6] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X6,X2)
| aElementOf0(sK17(X0,X1,X6),X1) )
| ~ spl33_126 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f4437,plain,
( spl33_390
| ~ spl33_99
| ~ spl33_119 ),
inference(avatar_split_clause,[],[f1278,f1213,f1067,f4435]) ).
fof(f4435,plain,
( spl33_390
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_390])]) ).
fof(f1213,plain,
( spl33_119
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_119])]) ).
fof(f1278,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl33_99
| ~ spl33_119 ),
inference(resolution,[],[f1214,f1068]) ).
fof(f1214,plain,
( ! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl33_119 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f4433,plain,
( ~ spl33_7
| spl33_389
| ~ spl33_61
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1262,f1193,f845,f4431,f558]) ).
fof(f4431,plain,
( spl33_389
<=> ! [X0,X1] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X1)
| sP11(X1,sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_389])]) ).
fof(f1262,plain,
( ! [X0,X1] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP11(X1,sK20(X0,szNzAzT0))
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_114 ),
inference(resolution,[],[f1194,f846]) ).
fof(f4424,plain,
( ~ spl33_7
| spl33_388
| ~ spl33_35
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1259,f1193,f695,f4422,f558]) ).
fof(f4422,plain,
( spl33_388
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sdtlseqdt0(sK20(X0,szNzAzT0),sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_388])]) ).
fof(f1259,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sK20(X0,szNzAzT0),sK20(X0,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_114 ),
inference(resolution,[],[f1194,f696]) ).
fof(f4420,plain,
( spl33_387
| ~ spl33_74
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1249,f1185,f926,f4418]) ).
fof(f1249,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl33_74
| ~ spl33_112 ),
inference(duplicate_literal_removal,[],[f1237]) ).
fof(f1237,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl33_74
| ~ spl33_112 ),
inference(resolution,[],[f1186,f927]) ).
fof(f4377,plain,
( ~ spl33_7
| spl33_386
| ~ spl33_51
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1240,f1185,f782,f4375,f558]) ).
fof(f1240,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_112 ),
inference(resolution,[],[f1186,f783]) ).
fof(f4373,plain,
( spl33_385
| ~ spl33_51
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1150,f1117,f782,f4371]) ).
fof(f1150,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_102 ),
inference(resolution,[],[f1118,f783]) ).
fof(f4369,plain,
( spl33_384
| ~ spl33_72
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1086,f1042,f918,f4367]) ).
fof(f4367,plain,
( spl33_384
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_384])]) ).
fof(f1086,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_72
| ~ spl33_93 ),
inference(resolution,[],[f1043,f919]) ).
fof(f4365,plain,
( spl33_383
| ~ spl33_37
| ~ spl33_89 ),
inference(avatar_split_clause,[],[f1073,f1026,f703,f4363]) ).
fof(f4363,plain,
( spl33_383
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_383])]) ).
fof(f1026,plain,
( spl33_89
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_89])]) ).
fof(f1073,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl33_37
| ~ spl33_89 ),
inference(resolution,[],[f1027,f704]) ).
fof(f1027,plain,
( ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_89 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f4361,plain,
( spl33_382
| ~ spl33_37
| ~ spl33_88 ),
inference(avatar_split_clause,[],[f1072,f1022,f703,f4359]) ).
fof(f4359,plain,
( spl33_382
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_382])]) ).
fof(f1022,plain,
( spl33_88
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_88])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl33_37
| ~ spl33_88 ),
inference(resolution,[],[f1023,f704]) ).
fof(f1023,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_88 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f4350,plain,
( ~ spl33_7
| spl33_381
| ~ spl33_235
| ~ spl33_238 ),
inference(avatar_split_clause,[],[f2476,f2472,f2428,f4347,f558]) ).
fof(f4347,plain,
( spl33_381
<=> sP1(slcrc0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_381])]) ).
fof(f2476,plain,
( sP1(slcrc0,xN)
| ~ aSet0(szNzAzT0)
| ~ spl33_235
| ~ spl33_238 ),
inference(resolution,[],[f2473,f2429]) ).
fof(f4345,plain,
( ~ spl33_17
| spl33_380
| ~ spl33_23
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1626,f1617,f638,f4343,f609]) ).
fof(f4343,plain,
( spl33_380
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_380])]) ).
fof(f1626,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_23
| ~ spl33_158 ),
inference(superposition,[],[f1618,f640]) ).
fof(f4335,plain,
( ~ spl33_17
| spl33_379
| ~ spl33_23
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1625,f1617,f638,f4333,f609]) ).
fof(f1625,plain,
( ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_23
| ~ spl33_158 ),
inference(superposition,[],[f1618,f640]) ).
fof(f4302,plain,
( ~ spl33_15
| spl33_378
| ~ spl33_20
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1597,f1482,f623,f4300,f599]) ).
fof(f4300,plain,
( spl33_378
<=> ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_378])]) ).
fof(f1597,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_153 ),
inference(superposition,[],[f1483,f625]) ).
fof(f4191,plain,
( ~ spl33_9
| spl33_377
| ~ spl33_18
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1966,f1938,f614,f4189,f568]) ).
fof(f4189,plain,
( spl33_377
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,slcrc0)) = X0
| sP10(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_377])]) ).
fof(f1966,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,slcrc0)) = X0
| sP10(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_179 ),
inference(resolution,[],[f1939,f615]) ).
fof(f4172,plain,
( ~ spl33_9
| ~ spl33_6
| spl33_376
| ~ spl33_18
| ~ spl33_41
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1757,f1716,f720,f614,f4170,f553,f568]) ).
fof(f1757,plain,
( ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_41
| ~ spl33_166 ),
inference(forward_demodulation,[],[f1741,f722]) ).
fof(f1741,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sbrdtbr0(slcrc0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_166 ),
inference(resolution,[],[f1717,f615]) ).
fof(f4165,plain,
( ~ spl33_17
| spl33_375
| ~ spl33_21
| ~ spl33_142 ),
inference(avatar_split_clause,[],[f1438,f1383,f628,f4163,f609]) ).
fof(f4163,plain,
( spl33_375
<=> ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_375])]) ).
fof(f1438,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_21
| ~ spl33_142 ),
inference(superposition,[],[f1384,f630]) ).
fof(f4155,plain,
( ~ spl33_17
| spl33_374
| ~ spl33_21
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1433,f1379,f628,f4153,f609]) ).
fof(f1433,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_21
| ~ spl33_141 ),
inference(superposition,[],[f1380,f630]) ).
fof(f4145,plain,
( ~ spl33_17
| spl33_373
| ~ spl33_21
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1432,f1379,f628,f4143,f609]) ).
fof(f1432,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_21
| ~ spl33_141 ),
inference(superposition,[],[f1380,f630]) ).
fof(f4120,plain,
( ~ spl33_7
| spl33_372
| ~ spl33_28
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1398,f1363,f659,f4118,f558]) ).
fof(f1398,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP5(X0) )
| ~ spl33_28
| ~ spl33_137 ),
inference(resolution,[],[f1364,f660]) ).
fof(f4116,plain,
( spl33_371
| ~ spl33_45
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1283,f1230,f758,f4114]) ).
fof(f4114,plain,
( spl33_371
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_371])]) ).
fof(f1283,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) )
| ~ spl33_45
| ~ spl33_123 ),
inference(resolution,[],[f1231,f759]) ).
fof(f4112,plain,
( spl33_370
| ~ spl33_78
| ~ spl33_122 ),
inference(avatar_split_clause,[],[f1281,f1226,f942,f4110]) ).
fof(f1226,plain,
( spl33_122
<=> ! [X0,X7,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_122])]) ).
fof(f1281,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP3(X1,X2) )
| ~ spl33_78
| ~ spl33_122 ),
inference(resolution,[],[f1227,f943]) ).
fof(f1227,plain,
( ! [X2,X0,X1,X7] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),X2) )
| ~ spl33_122 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f4108,plain,
( spl33_369
| ~ spl33_79
| ~ spl33_118 ),
inference(avatar_split_clause,[],[f1277,f1209,f946,f4106]) ).
fof(f4106,plain,
( spl33_369
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_369])]) ).
fof(f1209,plain,
( spl33_118
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_118])]) ).
fof(f1277,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(X1,X2) )
| ~ spl33_79
| ~ spl33_118 ),
inference(resolution,[],[f1210,f947]) ).
fof(f1210,plain,
( ! [X2,X0,X1,X4] :
( ~ sP6(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl33_118 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f4104,plain,
( spl33_368
| ~ spl33_82
| ~ spl33_107 ),
inference(avatar_split_clause,[],[f1162,f1138,f959,f4102]) ).
fof(f4102,plain,
( spl33_368
<=> ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP11(X1,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_368])]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP11(X1,sbrdtbr0(X0)) )
| ~ spl33_82
| ~ spl33_107 ),
inference(resolution,[],[f1139,f960]) ).
fof(f4085,plain,
( spl33_367
| ~ spl33_282
| spl33_255
| ~ spl33_60
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1100,f1054,f841,f2684,f2896,f4082]) ).
fof(f1100,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl33_60
| ~ spl33_96 ),
inference(resolution,[],[f1055,f842]) ).
fof(f4080,plain,
( spl33_366
| ~ spl33_60
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1075,f1030,f841,f4078]) ).
fof(f1075,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK21(X0) = sbrdtbr0(slbdtrb0(sK21(X0))) )
| ~ spl33_60
| ~ spl33_90 ),
inference(resolution,[],[f1031,f842]) ).
fof(f4075,plain,
( spl33_365
| ~ spl33_18
| ~ spl33_351 ),
inference(avatar_split_clause,[],[f3785,f3779,f614,f4073]) ).
fof(f4073,plain,
( spl33_365
<=> ! [X0] : sP2(X0,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_365])]) ).
fof(f3785,plain,
( ! [X0] : sP2(X0,slcrc0,slcrc0)
| ~ spl33_18
| ~ spl33_351 ),
inference(resolution,[],[f3780,f615]) ).
fof(f4071,plain,
( ~ spl33_17
| spl33_364
| ~ spl33_5
| ~ spl33_16
| ~ spl33_23
| ~ spl33_162 ),
inference(avatar_split_clause,[],[f1701,f1696,f638,f604,f548,f4068,f609]) ).
fof(f1696,plain,
( spl33_162
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_162])]) ).
fof(f1701,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isCountable0(xS)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_23
| ~ spl33_162 ),
inference(superposition,[],[f1697,f640]) ).
fof(f1697,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_162 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f4057,plain,
( ~ spl33_15
| spl33_363
| ~ spl33_20
| ~ spl33_140 ),
inference(avatar_split_clause,[],[f1424,f1375,f623,f4055,f599]) ).
fof(f4055,plain,
( spl33_363
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_363])]) ).
fof(f1424,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_140 ),
inference(superposition,[],[f1376,f625]) ).
fof(f4045,plain,
( ~ spl33_15
| spl33_362
| ~ spl33_20
| ~ spl33_140 ),
inference(avatar_split_clause,[],[f1423,f1375,f623,f4043,f599]) ).
fof(f1423,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_20
| ~ spl33_140 ),
inference(superposition,[],[f1376,f625]) ).
fof(f4031,plain,
( ~ spl33_15
| spl33_361
| ~ spl33_20
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1418,f1371,f623,f4029,f599]) ).
fof(f1418,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_139 ),
inference(superposition,[],[f1372,f625]) ).
fof(f4021,plain,
( ~ spl33_15
| spl33_360
| ~ spl33_20
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1417,f1371,f623,f4019,f599]) ).
fof(f4019,plain,
( spl33_360
<=> ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_360])]) ).
fof(f1417,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_20
| ~ spl33_139 ),
inference(superposition,[],[f1372,f625]) ).
fof(f4012,plain,
( spl33_359
| ~ spl33_18
| ~ spl33_306 ),
inference(avatar_split_clause,[],[f3242,f3148,f614,f4010]) ).
fof(f4010,plain,
( spl33_359
<=> ! [X0] : sP8(X0,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_359])]) ).
fof(f3242,plain,
( ! [X0] : sP8(X0,slcrc0,slcrc0)
| ~ spl33_18
| ~ spl33_306 ),
inference(resolution,[],[f3149,f615]) ).
fof(f4008,plain,
( ~ spl33_15
| spl33_358
| ~ spl33_20
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1412,f1367,f623,f4006,f599]) ).
fof(f4006,plain,
( spl33_358
<=> ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_358])]) ).
fof(f1367,plain,
( spl33_138
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_138])]) ).
fof(f1412,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_20
| ~ spl33_138 ),
inference(superposition,[],[f1368,f625]) ).
fof(f1368,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_138 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f4003,plain,
( ~ spl33_184
| ~ spl33_5
| ~ spl33_14
| spl33_12
| spl33_357
| ~ spl33_29
| ~ spl33_136 ),
inference(avatar_split_clause,[],[f1394,f1359,f668,f4000,f584,f594,f548,f2027]) ).
fof(f1394,plain,
( isCountable0(szDzozmdt0(xc))
| sz00 = xK
| ~ aElementOf0(xK,szNzAzT0)
| ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ spl33_29
| ~ spl33_136 ),
inference(superposition,[],[f1360,f670]) ).
fof(f3997,plain,
( ~ spl33_355
| spl33_356
| ~ spl33_45
| ~ spl33_108 ),
inference(avatar_split_clause,[],[f1170,f1166,f758,f3994,f3990]) ).
fof(f3994,plain,
( spl33_356
<=> aElement0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_356])]) ).
fof(f1166,plain,
( spl33_108
<=> aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_108])]) ).
fof(f1170,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl33_45
| ~ spl33_108 ),
inference(resolution,[],[f1168,f759]) ).
fof(f1168,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl33_108 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f3959,plain,
( ~ spl33_7
| spl33_354
| ~ spl33_56
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1144,f1113,f822,f3957,f558]) ).
fof(f3957,plain,
( spl33_354
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_354])]) ).
fof(f1144,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_56
| ~ spl33_101 ),
inference(resolution,[],[f1114,f823]) ).
fof(f3926,plain,
( ~ spl33_184
| spl33_353
| ~ spl33_55
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1143,f1113,f817,f3924,f2027]) ).
fof(f3924,plain,
( spl33_353
<=> ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_353])]) ).
fof(f1143,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X0,xS)
| ~ aSet0(xS) )
| ~ spl33_55
| ~ spl33_101 ),
inference(resolution,[],[f1114,f819]) ).
fof(f3811,plain,
( ~ spl33_9
| spl33_352
| ~ spl33_18
| ~ spl33_174 ),
inference(avatar_split_clause,[],[f1878,f1793,f614,f3809,f568]) ).
fof(f1878,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,slcrc0),X1)
| sP10(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_174 ),
inference(resolution,[],[f1794,f615]) ).
fof(f3781,plain,
( ~ spl33_9
| spl33_351
| ~ spl33_18
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1824,f1777,f614,f3779,f568]) ).
fof(f1824,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_18
| ~ spl33_170 ),
inference(resolution,[],[f1778,f615]) ).
fof(f3775,plain,
( ~ spl33_7
| spl33_350
| ~ spl33_36
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1260,f1193,f699,f3773,f558]) ).
fof(f3773,plain,
( spl33_350
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sdtlseqdt0(sz00,sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_350])]) ).
fof(f1260,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sK20(X0,szNzAzT0)) )
| ~ spl33_36
| ~ spl33_114 ),
inference(resolution,[],[f1194,f700]) ).
fof(f3770,plain,
( ~ spl33_7
| spl33_349
| ~ spl33_34
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1258,f1193,f691,f3768,f558]) ).
fof(f3768,plain,
( spl33_349
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| isFinite0(slbdtrb0(sK20(X0,szNzAzT0)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_349])]) ).
fof(f1258,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sK20(X0,szNzAzT0))) )
| ~ spl33_34
| ~ spl33_114 ),
inference(resolution,[],[f1194,f692]) ).
fof(f3766,plain,
( spl33_348
| ~ spl33_82
| ~ spl33_105 ),
inference(avatar_split_clause,[],[f1161,f1129,f959,f3764]) ).
fof(f3764,plain,
( spl33_348
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP11(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_348])]) ).
fof(f1161,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP11(X1,X2) )
| ~ spl33_82
| ~ spl33_105 ),
inference(resolution,[],[f1130,f960]) ).
fof(f3762,plain,
( spl33_347
| ~ spl33_79
| ~ spl33_104 ),
inference(avatar_split_clause,[],[f1160,f1125,f946,f3760]) ).
fof(f3760,plain,
( spl33_347
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_347])]) ).
fof(f1125,plain,
( spl33_104
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_104])]) ).
fof(f1160,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP7(X1,X2) )
| ~ spl33_79
| ~ spl33_104 ),
inference(resolution,[],[f1126,f947]) ).
fof(f1126,plain,
( ! [X2,X0,X1,X4] :
( ~ sP6(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,szDzozmdt0(X1)) )
| ~ spl33_104 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f3758,plain,
( spl33_346
| ~ spl33_94
| ~ spl33_97 ),
inference(avatar_split_clause,[],[f1106,f1058,f1046,f3756]) ).
fof(f3756,plain,
( spl33_346
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_346])]) ).
fof(f1046,plain,
( spl33_94
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_94])]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl33_94
| ~ spl33_97 ),
inference(resolution,[],[f1059,f1047]) ).
fof(f1047,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl33_94 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f3754,plain,
( spl33_345
| ~ spl33_282
| spl33_255
| ~ spl33_61
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1099,f1054,f845,f2684,f2896,f3752]) ).
fof(f3752,plain,
( spl33_345
<=> ! [X0] :
( sP11(X0,szmzizndt0(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_345])]) ).
fof(f1099,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP11(X0,szmzizndt0(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl33_61
| ~ spl33_96 ),
inference(resolution,[],[f1055,f846]) ).
fof(f3750,plain,
( spl33_344
| ~ spl33_61
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1074,f1030,f845,f3748]) ).
fof(f3748,plain,
( spl33_344
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(X1,sK21(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_344])]) ).
fof(f1074,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(X1,sK21(X0))
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_90 ),
inference(resolution,[],[f1031,f846]) ).
fof(f3731,plain,
( spl33_343
| ~ spl33_17
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2634,f2631,f609,f3728]) ).
fof(f3728,plain,
( spl33_343
<=> aElement0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_343])]) ).
fof(f2634,plain,
( aElement0(szszuzczcdt0(sz00))
| ~ spl33_17
| ~ spl33_250 ),
inference(resolution,[],[f2632,f611]) ).
fof(f3726,plain,
( spl33_342
| ~ spl33_7
| spl33_255
| ~ spl33_60
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f986,f926,f841,f2684,f558,f3723]) ).
fof(f986,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_60
| ~ spl33_74 ),
inference(resolution,[],[f927,f842]) ).
fof(f3721,plain,
( spl33_341
| ~ spl33_60
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f978,f922,f841,f3719]) ).
fof(f3719,plain,
( spl33_341
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK24(X0) = sbrdtbr0(slbdtrb0(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_341])]) ).
fof(f978,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK24(X0) = sbrdtbr0(slbdtrb0(sK24(X0))) )
| ~ spl33_60
| ~ spl33_73 ),
inference(resolution,[],[f923,f842]) ).
fof(f3712,plain,
( spl33_340
| ~ spl33_56
| ~ spl33_162 ),
inference(avatar_split_clause,[],[f1702,f1696,f822,f3710]) ).
fof(f1702,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_162 ),
inference(duplicate_literal_removal,[],[f1700]) ).
fof(f1700,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_56
| ~ spl33_162 ),
inference(resolution,[],[f1697,f823]) ).
fof(f3692,plain,
( ~ spl33_2
| spl33_339
| ~ spl33_19
| ~ spl33_155 ),
inference(avatar_split_clause,[],[f1611,f1490,f618,f3690,f533]) ).
fof(f1611,plain,
( ! [X0] :
( aElementOf0(sK14(xN,X0,szNzAzT0),szNzAzT0)
| sP0(xN,X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_155 ),
inference(superposition,[],[f1491,f620]) ).
fof(f3681,plain,
( ~ spl33_184
| ~ spl33_7
| spl33_338
| ~ spl33_16
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1605,f1486,f604,f3679,f558,f2027]) ).
fof(f1605,plain,
( ! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(X0) )
| ~ spl33_16
| ~ spl33_154 ),
inference(resolution,[],[f1487,f606]) ).
fof(f3673,plain,
( ~ spl33_2
| spl33_337
| ~ spl33_19
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1389,f1351,f618,f3671,f533]) ).
fof(f3671,plain,
( spl33_337
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_337])]) ).
fof(f1389,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_134 ),
inference(superposition,[],[f1352,f620]) ).
fof(f3669,plain,
( spl33_336
| ~ spl33_17
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2333,f2330,f609,f3666]) ).
fof(f3666,plain,
( spl33_336
<=> sP5(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_336])]) ).
fof(f2333,plain,
( sP5(szszuzczcdt0(sz00))
| ~ spl33_17
| ~ spl33_221 ),
inference(resolution,[],[f2331,f611]) ).
fof(f3628,plain,
( ~ spl33_15
| spl33_335
| ~ spl33_20
| ~ spl33_130 ),
inference(avatar_split_clause,[],[f1344,f1314,f623,f3626,f599]) ).
fof(f1344,plain,
( ! [X0] :
( sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_130 ),
inference(superposition,[],[f1315,f625]) ).
fof(f3622,plain,
( ~ spl33_15
| spl33_334
| ~ spl33_20
| ~ spl33_127 ),
inference(avatar_split_clause,[],[f1332,f1302,f623,f3620,f599]) ).
fof(f1332,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ aElementOf0(xk,szNzAzT0)
| ~ sP4(X0,X1) )
| ~ spl33_20
| ~ spl33_127 ),
inference(superposition,[],[f1303,f625]) ).
fof(f3489,plain,
( spl33_333
| ~ spl33_45
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1577,f1470,f758,f3487]) ).
fof(f3487,plain,
( spl33_333
<=> ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_333])]) ).
fof(f1577,plain,
( ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_150 ),
inference(duplicate_literal_removal,[],[f1567]) ).
fof(f1567,plain,
( ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_150 ),
inference(resolution,[],[f1471,f759]) ).
fof(f3485,plain,
( spl33_332
| ~ spl33_45
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1562,f1462,f758,f3483]) ).
fof(f3483,plain,
( spl33_332
<=> ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_332])]) ).
fof(f1562,plain,
( ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_148 ),
inference(duplicate_literal_removal,[],[f1552]) ).
fof(f1552,plain,
( ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_45
| ~ spl33_148 ),
inference(resolution,[],[f1463,f759]) ).
fof(f3470,plain,
( ~ spl33_9
| spl33_331
| ~ spl33_18
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1397,f1363,f614,f3468,f568]) ).
fof(f1397,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) )
| ~ spl33_18
| ~ spl33_137 ),
inference(resolution,[],[f1364,f615]) ).
fof(f3466,plain,
( spl33_330
| ~ spl33_45
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1265,f1193,f758,f3464]) ).
fof(f3464,plain,
( spl33_330
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK20(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_330])]) ).
fof(f1265,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK20(X1,X0)) )
| ~ spl33_45
| ~ spl33_114 ),
inference(duplicate_literal_removal,[],[f1255]) ).
fof(f1255,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK20(X1,X0))
| ~ aSet0(X0) )
| ~ spl33_45
| ~ spl33_114 ),
inference(resolution,[],[f1194,f759]) ).
fof(f3462,plain,
( ~ spl33_7
| spl33_329
| ~ spl33_28
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1257,f1193,f659,f3460,f558]) ).
fof(f3460,plain,
( spl33_329
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sP5(sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_329])]) ).
fof(f1257,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP5(sK20(X0,szNzAzT0)) )
| ~ spl33_28
| ~ spl33_114 ),
inference(resolution,[],[f1194,f660]) ).
fof(f3451,plain,
( ~ spl33_9
| ~ spl33_6
| spl33_328
| ~ spl33_41
| ~ spl33_113 ),
inference(avatar_split_clause,[],[f1252,f1189,f720,f3449,f553,f568]) ).
fof(f1252,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_41
| ~ spl33_113 ),
inference(superposition,[],[f1190,f722]) ).
fof(f3447,plain,
( spl33_327
| ~ spl33_76
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1110,f1067,f934,f3445]) ).
fof(f934,plain,
( spl33_76
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_76])]) ).
fof(f1110,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) )
| ~ spl33_76
| ~ spl33_99 ),
inference(resolution,[],[f1068,f935]) ).
fof(f935,plain,
( ! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl33_76 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f3443,plain,
( spl33_326
| ~ spl33_75
| ~ spl33_97 ),
inference(avatar_split_clause,[],[f1107,f1058,f930,f3441]) ).
fof(f930,plain,
( spl33_75
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_75])]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) )
| ~ spl33_75
| ~ spl33_97 ),
inference(resolution,[],[f1059,f931]) ).
fof(f931,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl33_75 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f3435,plain,
( spl33_325
| ~ spl33_282
| spl33_255
| ~ spl33_35
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1102,f1054,f695,f2684,f2896,f3432]) ).
fof(f3432,plain,
( spl33_325
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_325])]) ).
fof(f1102,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(szmzizndt0(szNzAzT0),szmzizndt0(szNzAzT0))
| ~ spl33_35
| ~ spl33_96 ),
inference(resolution,[],[f1055,f696]) ).
fof(f3430,plain,
( spl33_324
| ~ spl33_45
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1097,f1054,f758,f3428]) ).
fof(f1097,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) )
| ~ spl33_45
| ~ spl33_96 ),
inference(resolution,[],[f1055,f759]) ).
fof(f3426,plain,
( spl33_323
| ~ spl33_82
| ~ spl33_95 ),
inference(avatar_split_clause,[],[f1096,f1050,f959,f3424]) ).
fof(f3424,plain,
( spl33_323
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP11(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_323])]) ).
fof(f1096,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP11(X1,X2) )
| ~ spl33_82
| ~ spl33_95 ),
inference(resolution,[],[f1051,f960]) ).
fof(f3422,plain,
( spl33_322
| ~ spl33_46
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1087,f1042,f762,f3420]) ).
fof(f3420,plain,
( spl33_322
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_322])]) ).
fof(f1087,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_46
| ~ spl33_93 ),
inference(resolution,[],[f1043,f763]) ).
fof(f3418,plain,
( spl33_321
| ~ spl33_46
| ~ spl33_92 ),
inference(avatar_split_clause,[],[f1083,f1038,f762,f3416]) ).
fof(f1083,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK24(X0))) )
| ~ spl33_46
| ~ spl33_92 ),
inference(resolution,[],[f1039,f763]) ).
fof(f3378,plain,
( ~ spl33_7
| spl33_320
| ~ spl33_45
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1080,f1030,f758,f3376,f558]) ).
fof(f1080,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK21(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_90 ),
inference(resolution,[],[f1031,f759]) ).
fof(f3374,plain,
( spl33_319
| ~ spl33_35
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1077,f1030,f695,f3372]) ).
fof(f3372,plain,
( spl33_319
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK21(X0),sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_319])]) ).
fof(f1077,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK21(X0),sK21(X0)) )
| ~ spl33_35
| ~ spl33_90 ),
inference(resolution,[],[f1031,f696]) ).
fof(f3370,plain,
( spl33_318
| ~ spl33_7
| spl33_255
| ~ spl33_61
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f985,f926,f845,f2684,f558,f3368]) ).
fof(f3368,plain,
( spl33_318
<=> ! [X0] :
( sP11(X0,sK26(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_318])]) ).
fof(f985,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP11(X0,sK26(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl33_61
| ~ spl33_74 ),
inference(resolution,[],[f927,f846]) ).
fof(f3366,plain,
( spl33_317
| ~ spl33_61
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f977,f922,f845,f3364]) ).
fof(f3364,plain,
( spl33_317
<=> ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X1,sK24(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_317])]) ).
fof(f977,plain,
( ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X1,sK24(X0))
| ~ aSet0(X1) )
| ~ spl33_61
| ~ spl33_73 ),
inference(resolution,[],[f923,f846]) ).
fof(f3362,plain,
( spl33_316
| ~ spl33_59
| ~ spl33_60 ),
inference(avatar_split_clause,[],[f876,f841,f837,f3360]) ).
fof(f876,plain,
( ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_60 ),
inference(resolution,[],[f842,f838]) ).
fof(f3357,plain,
( ~ spl33_2
| ~ spl33_8
| spl33_314
| ~ spl33_315
| ~ spl33_19
| ~ spl33_125 ),
inference(avatar_split_clause,[],[f1329,f1294,f618,f3354,f3350,f563,f533]) ).
fof(f563,plain,
( spl33_8
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f3350,plain,
( spl33_314
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_314])]) ).
fof(f3354,plain,
( spl33_315
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_315])]) ).
fof(f1329,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xN)
| ~ spl33_19
| ~ spl33_125 ),
inference(superposition,[],[f1295,f620]) ).
fof(f3348,plain,
( ~ spl33_184
| spl33_185
| ~ spl33_14
| ~ spl33_313
| ~ spl33_29
| ~ spl33_116 ),
inference(avatar_split_clause,[],[f1269,f1201,f668,f3345,f594,f2031,f2027]) ).
fof(f2031,plain,
( spl33_185
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_185])]) ).
fof(f1201,plain,
( spl33_116
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_116])]) ).
fof(f1269,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS)
| ~ spl33_29
| ~ spl33_116 ),
inference(superposition,[],[f1202,f670]) ).
fof(f1202,plain,
( ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_116 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f3316,plain,
( ~ spl33_3
| spl33_312
| ~ spl33_31
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1146,f1113,f678,f3314,f538]) ).
fof(f1146,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT)
| ~ aSet0(xT) )
| ~ spl33_31
| ~ spl33_101 ),
inference(resolution,[],[f1114,f680]) ).
fof(f3312,plain,
( spl33_311
| ~ spl33_37
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f755,f752,f703,f3310]) ).
fof(f3310,plain,
( spl33_311
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_311])]) ).
fof(f755,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl33_37
| ~ spl33_44 ),
inference(resolution,[],[f753,f704]) ).
fof(f3286,plain,
( spl33_310
| ~ spl33_238
| ~ spl33_282 ),
inference(avatar_split_clause,[],[f2904,f2896,f2472,f3283]) ).
fof(f3283,plain,
( spl33_310
<=> sP1(szNzAzT0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_310])]) ).
fof(f2904,plain,
( sP1(szNzAzT0,xN)
| ~ spl33_238
| ~ spl33_282 ),
inference(resolution,[],[f2897,f2473]) ).
fof(f2897,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl33_282 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f3163,plain,
( spl33_309
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1682,f1632,f3161]) ).
fof(f1682,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,X1),X1)
| sP8(X0,X1,X1) )
| ~ spl33_160 ),
inference(factoring,[],[f1633]) ).
fof(f3159,plain,
( spl33_308
| ~ spl33_240
| ~ spl33_282 ),
inference(avatar_split_clause,[],[f2903,f2896,f2488,f3156]) ).
fof(f2903,plain,
( sP3(szNzAzT0,xN)
| ~ spl33_240
| ~ spl33_282 ),
inference(resolution,[],[f2897,f2489]) ).
fof(f3154,plain,
( spl33_307
| ~ spl33_18
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1673,f1632,f614,f3152]) ).
fof(f1673,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,slcrc0,X1),X1)
| sP8(X0,slcrc0,X1) )
| ~ spl33_18
| ~ spl33_160 ),
inference(resolution,[],[f1633,f615]) ).
fof(f3150,plain,
( spl33_306
| ~ spl33_18
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1661,f1632,f614,f3148]) ).
fof(f1661,plain,
( ! [X0,X1] :
( aElementOf0(sK28(X0,X1,slcrc0),X1)
| sP8(X0,X1,slcrc0) )
| ~ spl33_18
| ~ spl33_160 ),
inference(resolution,[],[f1633,f615]) ).
fof(f3133,plain,
( ~ spl33_7
| spl33_305
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1545,f1454,f3131,f558]) ).
fof(f1545,plain,
( ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_146 ),
inference(factoring,[],[f1455]) ).
fof(f3129,plain,
( spl33_304
| ~ spl33_41
| ~ spl33_107 ),
inference(avatar_split_clause,[],[f1163,f1138,f720,f3127]) ).
fof(f1163,plain,
( ! [X0,X1] :
( ~ sP10(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl33_41
| ~ spl33_107 ),
inference(superposition,[],[f1139,f722]) ).
fof(f3125,plain,
( spl33_303
| ~ spl33_282
| spl33_255
| ~ spl33_34
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1103,f1054,f691,f2684,f2896,f3122]) ).
fof(f3122,plain,
( spl33_303
<=> isFinite0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_303])]) ).
fof(f1103,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl33_34
| ~ spl33_96 ),
inference(resolution,[],[f1055,f692]) ).
fof(f3118,plain,
( spl33_302
| ~ spl33_282
| spl33_255
| ~ spl33_36
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1101,f1054,f699,f2684,f2896,f3115]) ).
fof(f1101,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,szmzizndt0(szNzAzT0))
| ~ spl33_36
| ~ spl33_96 ),
inference(resolution,[],[f1055,f700]) ).
fof(f3113,plain,
( spl33_301
| ~ spl33_42
| ~ spl33_91 ),
inference(avatar_split_clause,[],[f1081,f1034,f726,f3111]) ).
fof(f3111,plain,
( spl33_301
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_301])]) ).
fof(f1034,plain,
( spl33_91
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_91])]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP5(X1) )
| ~ spl33_42
| ~ spl33_91 ),
inference(resolution,[],[f1035,f727]) ).
fof(f1035,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ spl33_91 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f3109,plain,
( spl33_300
| ~ spl33_34
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1078,f1030,f691,f3107]) ).
fof(f3107,plain,
( spl33_300
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_300])]) ).
fof(f1078,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK21(X0))) )
| ~ spl33_34
| ~ spl33_90 ),
inference(resolution,[],[f1031,f692]) ).
fof(f3105,plain,
( spl33_299
| ~ spl33_36
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1076,f1030,f699,f3103]) ).
fof(f3103,plain,
( spl33_299
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_299])]) ).
fof(f1076,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK21(X0)) )
| ~ spl33_36
| ~ spl33_90 ),
inference(resolution,[],[f1031,f700]) ).
fof(f3097,plain,
( spl33_298
| ~ spl33_7
| spl33_255
| ~ spl33_35
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f988,f926,f695,f2684,f558,f3094]) ).
fof(f3094,plain,
( spl33_298
<=> sdtlseqdt0(sK26(szNzAzT0),sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_298])]) ).
fof(f988,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK26(szNzAzT0),sK26(szNzAzT0))
| ~ spl33_35
| ~ spl33_74 ),
inference(resolution,[],[f927,f696]) ).
fof(f3083,plain,
( ~ spl33_7
| spl33_297
| ~ spl33_45
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f983,f922,f758,f3081,f558]) ).
fof(f983,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK24(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_73 ),
inference(resolution,[],[f923,f759]) ).
fof(f3079,plain,
( spl33_296
| ~ spl33_35
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f980,f922,f695,f3077]) ).
fof(f3077,plain,
( spl33_296
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK24(X0),sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_296])]) ).
fof(f980,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK24(X0),sK24(X0)) )
| ~ spl33_35
| ~ spl33_73 ),
inference(resolution,[],[f923,f696]) ).
fof(f3075,plain,
( spl33_295
| ~ spl33_59
| ~ spl33_61 ),
inference(avatar_split_clause,[],[f883,f845,f837,f3073]) ).
fof(f3073,plain,
( spl33_295
<=> ! [X0,X1] :
( sP11(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_295])]) ).
fof(f883,plain,
( ! [X0,X1] :
( sP11(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_59
| ~ spl33_61 ),
inference(resolution,[],[f846,f838]) ).
fof(f3071,plain,
( spl33_294
| ~ spl33_51
| ~ spl33_60 ),
inference(avatar_split_clause,[],[f875,f841,f782,f3069]) ).
fof(f875,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_60 ),
inference(resolution,[],[f842,f783]) ).
fof(f3063,plain,
( ~ spl33_2
| spl33_293
| ~ spl33_17
| ~ spl33_19
| ~ spl33_23
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1391,f1351,f638,f618,f609,f3060,f533]) ).
fof(f1391,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aFunction0(xN)
| ~ spl33_19
| ~ spl33_23
| ~ spl33_134 ),
inference(forward_demodulation,[],[f1390,f620]) ).
fof(f1390,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl33_19
| ~ spl33_23
| ~ spl33_134 ),
inference(forward_demodulation,[],[f1388,f620]) ).
fof(f1388,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szDzozmdt0(xN)))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl33_23
| ~ spl33_134 ),
inference(superposition,[],[f1352,f640]) ).
fof(f3057,plain,
( spl33_292
| ~ spl33_17
| ~ spl33_19
| ~ spl33_23
| ~ spl33_132 ),
inference(avatar_split_clause,[],[f1349,f1322,f638,f618,f609,f3055]) ).
fof(f1349,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sP6(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl33_19
| ~ spl33_23
| ~ spl33_132 ),
inference(forward_demodulation,[],[f1348,f620]) ).
fof(f1348,plain,
( ! [X0] :
( ~ sP6(xS,xN,X0)
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| aElementOf0(sz00,X0) )
| ~ spl33_23
| ~ spl33_132 ),
inference(superposition,[],[f1323,f640]) ).
fof(f3053,plain,
( ~ spl33_7
| ~ spl33_184
| ~ spl33_290
| spl33_291
| ~ spl33_16
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1339,f1306,f604,f3050,f3046,f2027,f558]) ).
fof(f1339,plain,
( szNzAzT0 = xS
| ~ aSubsetOf0(szNzAzT0,xS)
| ~ aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl33_16
| ~ spl33_128 ),
inference(resolution,[],[f1307,f606]) ).
fof(f3032,plain,
( spl33_289
| ~ spl33_13
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2639,f2631,f589,f3029]) ).
fof(f3029,plain,
( spl33_289
<=> aElement0(szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_289])]) ).
fof(f2639,plain,
( aElement0(szszuzczcdt0(xi))
| ~ spl33_13
| ~ spl33_250 ),
inference(resolution,[],[f2632,f591]) ).
fof(f2956,plain,
( spl33_288
| ~ spl33_14
| ~ spl33_250 ),
inference(avatar_split_clause,[],[f2637,f2631,f594,f2953]) ).
fof(f2953,plain,
( spl33_288
<=> aElement0(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_288])]) ).
fof(f2637,plain,
( aElement0(szszuzczcdt0(xK))
| ~ spl33_14
| ~ spl33_250 ),
inference(resolution,[],[f2632,f596]) ).
fof(f2936,plain,
( spl33_287
| ~ spl33_18
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1568,f1470,f614,f2934]) ).
fof(f2934,plain,
( spl33_287
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,slcrc0))
| sP9(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_287])]) ).
fof(f1568,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,slcrc0))
| sP9(X0,X1,slcrc0) )
| ~ spl33_18
| ~ spl33_150 ),
inference(resolution,[],[f1471,f615]) ).
fof(f2932,plain,
( spl33_286
| ~ spl33_18
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1553,f1462,f614,f2930]) ).
fof(f2930,plain,
( spl33_286
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,slcrc0))
| sP8(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_286])]) ).
fof(f1553,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,slcrc0))
| sP8(X0,X1,slcrc0) )
| ~ spl33_18
| ~ spl33_148 ),
inference(resolution,[],[f1463,f615]) ).
fof(f2924,plain,
( ~ spl33_7
| spl33_285
| ~ spl33_17
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1239,f1185,f609,f2921,f558]) ).
fof(f1239,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl33_17
| ~ spl33_112 ),
inference(resolution,[],[f1186,f611]) ).
fof(f2919,plain,
( spl33_284
| ~ spl33_81
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1111,f1067,f955,f2917]) ).
fof(f955,plain,
( spl33_81
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP9(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_81])]) ).
fof(f1111,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl33_81
| ~ spl33_99 ),
inference(duplicate_literal_removal,[],[f1109]) ).
fof(f1109,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl33_81
| ~ spl33_99 ),
inference(resolution,[],[f1068,f956]) ).
fof(f956,plain,
( ! [X2,X1,X4] :
( ~ sP9(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl33_81 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f2915,plain,
( spl33_283
| ~ spl33_54
| ~ spl33_97 ),
inference(avatar_split_clause,[],[f1108,f1058,f794,f2913]) ).
fof(f794,plain,
( spl33_54
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP8(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_54])]) ).
fof(f1108,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl33_54
| ~ spl33_97 ),
inference(resolution,[],[f1059,f795]) ).
fof(f795,plain,
( ! [X2,X1,X4] :
( ~ sP8(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl33_54 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f2901,plain,
( ~ spl33_7
| ~ spl33_26
| spl33_282 ),
inference(avatar_split_clause,[],[f2900,f2896,f651,f558]) ).
fof(f2900,plain,
( ~ aSet0(szNzAzT0)
| ~ spl33_26
| spl33_282 ),
inference(resolution,[],[f2898,f652]) ).
fof(f2898,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl33_282 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f2899,plain,
( spl33_281
| ~ spl33_282
| spl33_255
| ~ spl33_28
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1104,f1054,f659,f2684,f2896,f2892]) ).
fof(f2892,plain,
( spl33_281
<=> sP5(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_281])]) ).
fof(f1104,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(szmzizndt0(szNzAzT0))
| ~ spl33_28
| ~ spl33_96 ),
inference(resolution,[],[f1055,f660]) ).
fof(f2890,plain,
( spl33_280
| ~ spl33_68
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1090,f1042,f902,f2888]) ).
fof(f2888,plain,
( spl33_280
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_280])]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1) )
| ~ spl33_68
| ~ spl33_93 ),
inference(duplicate_literal_removal,[],[f1084]) ).
fof(f1084,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_68
| ~ spl33_93 ),
inference(resolution,[],[f1043,f903]) ).
fof(f2886,plain,
( spl33_279
| ~ spl33_67
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1089,f1042,f898,f2884]) ).
fof(f2884,plain,
( spl33_279
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP1(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_279])]) ).
fof(f1089,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP1(sdtlbdtrb0(X1,X0),X1) )
| ~ spl33_67
| ~ spl33_93 ),
inference(duplicate_literal_removal,[],[f1085]) ).
fof(f1085,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP1(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_67
| ~ spl33_93 ),
inference(resolution,[],[f1043,f899]) ).
fof(f2882,plain,
( spl33_278
| ~ spl33_28
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1079,f1030,f659,f2880]) ).
fof(f1079,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP5(sK21(X0)) )
| ~ spl33_28
| ~ spl33_90 ),
inference(resolution,[],[f1031,f660]) ).
fof(f2878,plain,
( spl33_277
| ~ spl33_7
| spl33_255
| ~ spl33_34
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f989,f926,f691,f2684,f558,f2875]) ).
fof(f2875,plain,
( spl33_277
<=> isFinite0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_277])]) ).
fof(f989,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_34
| ~ spl33_74 ),
inference(resolution,[],[f927,f692]) ).
fof(f2871,plain,
( spl33_22
| ~ spl33_8
| ~ spl33_255 ),
inference(avatar_split_clause,[],[f2835,f2684,f563,f633]) ).
fof(f633,plain,
( spl33_22
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f2835,plain,
( isCountable0(slcrc0)
| ~ spl33_8
| ~ spl33_255 ),
inference(superposition,[],[f565,f2686]) ).
fof(f2686,plain,
( slcrc0 = szNzAzT0
| ~ spl33_255 ),
inference(avatar_component_clause,[],[f2684]) ).
fof(f565,plain,
( isCountable0(szNzAzT0)
| ~ spl33_8 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f2870,plain,
( spl33_276
| ~ spl33_57
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f998,f938,f829,f2868]) ).
fof(f2868,plain,
( spl33_276
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_276])]) ).
fof(f829,plain,
( spl33_57
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_57])]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 )
| ~ spl33_57
| ~ spl33_77 ),
inference(resolution,[],[f939,f830]) ).
fof(f830,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| szDzozmdt0(X0) = X2 )
| ~ spl33_57 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f2833,plain,
( spl33_275
| ~ spl33_7
| spl33_255
| ~ spl33_36
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f987,f926,f699,f2684,f558,f2830]) ).
fof(f987,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK26(szNzAzT0))
| ~ spl33_36
| ~ spl33_74 ),
inference(resolution,[],[f927,f700]) ).
fof(f2828,plain,
( spl33_274
| ~ spl33_34
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f981,f922,f691,f2826]) ).
fof(f2826,plain,
( spl33_274
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_274])]) ).
fof(f981,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK24(X0))) )
| ~ spl33_34
| ~ spl33_73 ),
inference(resolution,[],[f923,f692]) ).
fof(f2824,plain,
( spl33_273
| ~ spl33_36
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f979,f922,f699,f2822]) ).
fof(f2822,plain,
( spl33_273
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_273])]) ).
fof(f979,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK24(X0)) )
| ~ spl33_36
| ~ spl33_73 ),
inference(resolution,[],[f923,f700]) ).
fof(f2820,plain,
( spl33_272
| ~ spl33_42
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f970,f914,f726,f2818]) ).
fof(f2818,plain,
( spl33_272
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_272])]) ).
fof(f914,plain,
( spl33_71
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_71])]) ).
fof(f970,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP5(X1) )
| ~ spl33_42
| ~ spl33_71 ),
inference(resolution,[],[f915,f727]) ).
fof(f915,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) )
| ~ spl33_71 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f2816,plain,
( spl33_271
| ~ spl33_26
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f964,f902,f651,f2814]) ).
fof(f2814,plain,
( spl33_271
<=> ! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_271])]) ).
fof(f964,plain,
( ! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_26
| ~ spl33_68 ),
inference(resolution,[],[f903,f652]) ).
fof(f2812,plain,
( spl33_270
| ~ spl33_26
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f962,f898,f651,f2810]) ).
fof(f2810,plain,
( spl33_270
<=> ! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_270])]) ).
fof(f962,plain,
( ! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_26
| ~ spl33_67 ),
inference(resolution,[],[f899,f652]) ).
fof(f2808,plain,
( spl33_269
| ~ spl33_45
| ~ spl33_64 ),
inference(avatar_split_clause,[],[f887,f857,f758,f2806]) ).
fof(f887,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_45
| ~ spl33_64 ),
inference(resolution,[],[f858,f759]) ).
fof(f2804,plain,
( spl33_268
| ~ spl33_16
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f2494,f2488,f604,f2801]) ).
fof(f2801,plain,
( spl33_268
<=> sP3(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_268])]) ).
fof(f2494,plain,
( sP3(xS,xN)
| ~ spl33_16
| ~ spl33_240 ),
inference(resolution,[],[f2489,f606]) ).
fof(f2799,plain,
( spl33_267
| ~ spl33_51
| ~ spl33_61 ),
inference(avatar_split_clause,[],[f882,f845,f782,f2797]) ).
fof(f2797,plain,
( spl33_267
<=> ! [X0,X1] :
( sP11(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_267])]) ).
fof(f882,plain,
( ! [X0,X1] :
( sP11(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_51
| ~ spl33_61 ),
inference(resolution,[],[f846,f783]) ).
fof(f2795,plain,
( spl33_266
| ~ spl33_35
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f863,f837,f695,f2793]) ).
fof(f2793,plain,
( spl33_266
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_266])]) ).
fof(f863,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl33_35
| ~ spl33_59 ),
inference(resolution,[],[f838,f696]) ).
fof(f2787,plain,
( ~ spl33_7
| spl33_265
| ~ spl33_13
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1244,f1185,f589,f2784,f558]) ).
fof(f1244,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi)
| ~ aSet0(szNzAzT0)
| ~ spl33_13
| ~ spl33_112 ),
inference(resolution,[],[f1186,f591]) ).
fof(f2778,plain,
( ~ spl33_7
| spl33_264
| ~ spl33_15
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1243,f1185,f599,f2775,f558]) ).
fof(f1243,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl33_15
| ~ spl33_112 ),
inference(resolution,[],[f1186,f601]) ).
fof(f2769,plain,
( ~ spl33_7
| spl33_263
| ~ spl33_14
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1242,f1185,f594,f2766,f558]) ).
fof(f1242,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ aSet0(szNzAzT0)
| ~ spl33_14
| ~ spl33_112 ),
inference(resolution,[],[f1186,f596]) ).
fof(f2756,plain,
( ~ spl33_2
| spl33_262
| ~ spl33_19
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1088,f1042,f618,f2754,f533]) ).
fof(f1088,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_93 ),
inference(superposition,[],[f1043,f620]) ).
fof(f2751,plain,
( ~ spl33_2
| spl33_261
| ~ spl33_19
| ~ spl33_84 ),
inference(avatar_split_clause,[],[f1071,f1005,f618,f2749,f533]) ).
fof(f1071,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_84 ),
inference(superposition,[],[f1006,f620]) ).
fof(f2745,plain,
( ~ spl33_3
| ~ spl33_4
| spl33_260
| ~ spl33_31
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f974,f918,f678,f2742,f543,f538]) ).
fof(f974,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl33_31
| ~ spl33_72 ),
inference(resolution,[],[f919,f680]) ).
fof(f2739,plain,
( ~ spl33_7
| spl33_259
| ~ spl33_46
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f826,f822,f762,f2737,f558]) ).
fof(f2737,plain,
( spl33_259
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_259])]) ).
fof(f826,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_46
| ~ spl33_56 ),
inference(resolution,[],[f823,f763]) ).
fof(f2735,plain,
( ~ spl33_184
| spl33_258
| ~ spl33_46
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f825,f817,f762,f2732,f2027]) ).
fof(f825,plain,
( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(xS)
| ~ spl33_46
| ~ spl33_55 ),
inference(resolution,[],[f819,f763]) ).
fof(f2723,plain,
( spl33_257
| ~ spl33_16
| ~ spl33_238 ),
inference(avatar_split_clause,[],[f2478,f2472,f604,f2720]) ).
fof(f2720,plain,
( spl33_257
<=> sP1(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_257])]) ).
fof(f2478,plain,
( sP1(xS,xN)
| ~ spl33_16
| ~ spl33_238 ),
inference(resolution,[],[f2473,f606]) ).
fof(f2691,plain,
( spl33_256
| ~ spl33_45
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f992,f926,f758,f2689]) ).
fof(f992,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK26(X0)) )
| ~ spl33_45
| ~ spl33_74 ),
inference(duplicate_literal_removal,[],[f991]) ).
fof(f991,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK26(X0))
| ~ aSet0(X0) )
| ~ spl33_45
| ~ spl33_74 ),
inference(resolution,[],[f927,f759]) ).
fof(f2687,plain,
( spl33_254
| ~ spl33_7
| spl33_255
| ~ spl33_28
| ~ spl33_74 ),
inference(avatar_split_clause,[],[f990,f926,f659,f2684,f558,f2680]) ).
fof(f2680,plain,
( spl33_254
<=> sP5(sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_254])]) ).
fof(f990,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP5(sK26(szNzAzT0))
| ~ spl33_28
| ~ spl33_74 ),
inference(resolution,[],[f927,f660]) ).
fof(f2678,plain,
( spl33_253
| ~ spl33_28
| ~ spl33_73 ),
inference(avatar_split_clause,[],[f982,f922,f659,f2676]) ).
fof(f982,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP5(sK24(X0)) )
| ~ spl33_28
| ~ spl33_73 ),
inference(resolution,[],[f923,f660]) ).
fof(f2674,plain,
( spl33_252
| ~ spl33_34
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f864,f837,f691,f2672]) ).
fof(f2672,plain,
( spl33_252
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_252])]) ).
fof(f864,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) )
| ~ spl33_34
| ~ spl33_59 ),
inference(resolution,[],[f838,f692]) ).
fof(f2670,plain,
( spl33_251
| ~ spl33_36
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f862,f837,f699,f2668]) ).
fof(f862,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl33_36
| ~ spl33_59 ),
inference(resolution,[],[f838,f700]) ).
fof(f2633,plain,
( ~ spl33_7
| spl33_250
| ~ spl33_45
| ~ spl33_51 ),
inference(avatar_split_clause,[],[f813,f782,f758,f2631,f558]) ).
fof(f813,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_51 ),
inference(resolution,[],[f783,f759]) ).
fof(f2629,plain,
( spl33_249
| ~ spl33_35
| ~ spl33_51 ),
inference(avatar_split_clause,[],[f810,f782,f695,f2627]) ).
fof(f810,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl33_35
| ~ spl33_51 ),
inference(resolution,[],[f783,f696]) ).
fof(f2604,plain,
( spl33_247
| spl33_248
| ~ spl33_13
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1154,f1117,f589,f2601,f2597]) ).
fof(f1154,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK21(xi))
| ~ spl33_13
| ~ spl33_102 ),
inference(resolution,[],[f1118,f591]) ).
fof(f2570,plain,
( ~ spl33_184
| ~ spl33_211
| spl33_241 ),
inference(avatar_split_clause,[],[f2507,f2499,f2254,f2027]) ).
fof(f2254,plain,
( spl33_211
<=> ! [X0] :
( sP11(X0,xK)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_211])]) ).
fof(f2499,plain,
( spl33_241
<=> sP11(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_241])]) ).
fof(f2507,plain,
( ~ aSet0(xS)
| ~ spl33_211
| spl33_241 ),
inference(resolution,[],[f2501,f2255]) ).
fof(f2255,plain,
( ! [X0] :
( sP11(X0,xK)
| ~ aSet0(X0) )
| ~ spl33_211 ),
inference(avatar_component_clause,[],[f2254]) ).
fof(f2501,plain,
( ~ sP11(xS,xK)
| spl33_241 ),
inference(avatar_component_clause,[],[f2499]) ).
fof(f2569,plain,
( spl33_245
| spl33_246
| ~ spl33_15
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1153,f1117,f599,f2566,f2562]) ).
fof(f1153,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK21(xk))
| ~ spl33_15
| ~ spl33_102 ),
inference(resolution,[],[f1118,f601]) ).
fof(f2539,plain,
( spl33_244
| spl33_12
| ~ spl33_14
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1152,f1117,f594,f584,f2536]) ).
fof(f1152,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK21(xK))
| ~ spl33_14
| ~ spl33_102 ),
inference(resolution,[],[f1118,f596]) ).
fof(f2511,plain,
( ~ spl33_7
| spl33_243
| ~ spl33_16
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1147,f1113,f604,f2509,f558]) ).
fof(f1147,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_16
| ~ spl33_101 ),
inference(resolution,[],[f1114,f606]) ).
fof(f2506,plain,
( ~ spl33_241
| spl33_242
| ~ spl33_29
| ~ spl33_82 ),
inference(avatar_split_clause,[],[f1003,f959,f668,f2503,f2499]) ).
fof(f1003,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ sP11(xS,xK)
| ~ spl33_29
| ~ spl33_82 ),
inference(superposition,[],[f960,f670]) ).
fof(f2490,plain,
( ~ spl33_2
| spl33_240
| ~ spl33_19
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f965,f902,f618,f2488,f533]) ).
fof(f965,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN)
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_68 ),
inference(superposition,[],[f903,f620]) ).
fof(f2486,plain,
( spl33_239
| ~ spl33_13
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2338,f2330,f589,f2483]) ).
fof(f2483,plain,
( spl33_239
<=> sP5(szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_239])]) ).
fof(f2338,plain,
( sP5(szszuzczcdt0(xi))
| ~ spl33_13
| ~ spl33_221 ),
inference(resolution,[],[f2331,f591]) ).
fof(f2474,plain,
( ~ spl33_2
| spl33_238
| ~ spl33_19
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f963,f898,f618,f2472,f533]) ).
fof(f963,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN)
| ~ aFunction0(xN) )
| ~ spl33_19
| ~ spl33_67 ),
inference(superposition,[],[f899,f620]) ).
fof(f2455,plain,
( spl33_237
| ~ spl33_14
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2336,f2330,f594,f2452]) ).
fof(f2452,plain,
( spl33_237
<=> sP5(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_237])]) ).
fof(f2336,plain,
( sP5(szszuzczcdt0(xK))
| ~ spl33_14
| ~ spl33_221 ),
inference(resolution,[],[f2331,f596]) ).
fof(f2450,plain,
( spl33_236
| ~ spl33_190 ),
inference(avatar_split_clause,[],[f2114,f2080,f2448]) ).
fof(f2448,plain,
( spl33_236
<=> ! [X0] :
( sP0(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_236])]) ).
fof(f2114,plain,
( ! [X0] :
( sP0(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_190 ),
inference(equality_resolution,[],[f2081]) ).
fof(f2430,plain,
( ~ spl33_9
| spl33_235
| ~ spl33_18
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1256,f1193,f614,f2428,f568]) ).
fof(f1256,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl33_18
| ~ spl33_114 ),
inference(resolution,[],[f1194,f615]) ).
fof(f2426,plain,
( spl33_234
| ~ spl33_40
| ~ spl33_82 ),
inference(avatar_split_clause,[],[f1002,f959,f716,f2424]) ).
fof(f716,plain,
( spl33_40
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_40])]) ).
fof(f1002,plain,
( ! [X0,X1] :
( ~ sP11(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl33_40
| ~ spl33_82 ),
inference(resolution,[],[f960,f717]) ).
fof(f717,plain,
( ! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| aSet0(X2) )
| ~ spl33_40 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f2422,plain,
( spl33_233
| ~ spl33_38
| ~ spl33_79 ),
inference(avatar_split_clause,[],[f1001,f946,f707,f2420]) ).
fof(f2420,plain,
( spl33_233
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_233])]) ).
fof(f707,plain,
( spl33_38
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_38])]) ).
fof(f1001,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) )
| ~ spl33_38
| ~ spl33_79 ),
inference(resolution,[],[f947,f708]) ).
fof(f708,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| aSet0(X2) )
| ~ spl33_38 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2418,plain,
( spl33_232
| ~ spl33_33
| ~ spl33_78 ),
inference(avatar_split_clause,[],[f1000,f942,f687,f2416]) ).
fof(f2416,plain,
( spl33_232
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_232])]) ).
fof(f687,plain,
( spl33_33
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f1000,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) )
| ~ spl33_33
| ~ spl33_78 ),
inference(resolution,[],[f943,f688]) ).
fof(f688,plain,
( ! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X2) )
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f2414,plain,
( spl33_231
| ~ spl33_32
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f999,f938,f683,f2412]) ).
fof(f2412,plain,
( spl33_231
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_231])]) ).
fof(f683,plain,
( spl33_32
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f999,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) )
| ~ spl33_32
| ~ spl33_77 ),
inference(resolution,[],[f939,f684]) ).
fof(f684,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aFunction0(X0) )
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f2410,plain,
( spl33_230
| ~ spl33_28
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f865,f837,f659,f2408]) ).
fof(f2408,plain,
( spl33_230
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP5(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_230])]) ).
fof(f865,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP5(sbrdtbr0(X0)) )
| ~ spl33_28
| ~ spl33_59 ),
inference(resolution,[],[f838,f660]) ).
fof(f2406,plain,
( spl33_229
| ~ spl33_34
| ~ spl33_51 ),
inference(avatar_split_clause,[],[f811,f782,f691,f2404]) ).
fof(f2404,plain,
( spl33_229
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_229])]) ).
fof(f811,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_34
| ~ spl33_51 ),
inference(resolution,[],[f783,f692]) ).
fof(f2402,plain,
( ~ spl33_1
| ~ spl33_24
| spl33_222 ),
inference(avatar_split_clause,[],[f2383,f2367,f643,f528]) ).
fof(f643,plain,
( spl33_24
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f2383,plain,
( ~ aFunction0(xc)
| ~ spl33_24
| spl33_222 ),
inference(resolution,[],[f2369,f644]) ).
fof(f644,plain,
( ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_24 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f2369,plain,
( ~ aSet0(szDzozmdt0(xc))
| spl33_222 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2401,plain,
( spl33_228
| ~ spl33_36
| ~ spl33_51 ),
inference(avatar_split_clause,[],[f809,f782,f699,f2399]) ).
fof(f2399,plain,
( spl33_228
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_228])]) ).
fof(f809,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl33_36
| ~ spl33_51 ),
inference(resolution,[],[f783,f700]) ).
fof(f2393,plain,
( ~ spl33_15
| spl33_227
| ~ spl33_20
| ~ spl33_64 ),
inference(avatar_split_clause,[],[f888,f857,f623,f2390,f599]) ).
fof(f888,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_64 ),
inference(superposition,[],[f858,f625]) ).
fof(f2388,plain,
( ~ spl33_3
| spl33_226
| ~ spl33_31
| ~ spl33_46 ),
inference(avatar_split_clause,[],[f803,f762,f678,f2385,f538]) ).
fof(f803,plain,
( aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ spl33_31
| ~ spl33_46 ),
inference(resolution,[],[f763,f680]) ).
fof(f2382,plain,
( ~ spl33_222
| ~ spl33_223
| ~ spl33_224
| spl33_225
| spl33_11
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1750,f1716,f579,f2379,f2375,f2371,f2367]) ).
fof(f2371,plain,
( spl33_223
<=> isFinite0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_223])]) ).
fof(f2375,plain,
( spl33_224
<=> aElement0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_224])]) ).
fof(f2379,plain,
( spl33_225
<=> sbrdtbr0(sdtpldt0(szDzozmdt0(xc),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) = szszuzczcdt0(sbrdtbr0(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_225])]) ).
fof(f1750,plain,
( sbrdtbr0(sdtpldt0(szDzozmdt0(xc),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) = szszuzczcdt0(sbrdtbr0(szDzozmdt0(xc)))
| ~ aElement0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isFinite0(szDzozmdt0(xc))
| ~ aSet0(szDzozmdt0(xc))
| spl33_11
| ~ spl33_166 ),
inference(resolution,[],[f1717,f581]) ).
fof(f2332,plain,
( spl33_221
| ~ spl33_28
| ~ spl33_51 ),
inference(avatar_split_clause,[],[f812,f782,f659,f2330]) ).
fof(f812,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(szszuzczcdt0(X0)) )
| ~ spl33_28
| ~ spl33_51 ),
inference(resolution,[],[f783,f660]) ).
fof(f2326,plain,
( ~ spl33_15
| spl33_220
| ~ spl33_20
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f808,f778,f623,f2323,f599]) ).
fof(f2323,plain,
( spl33_220
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_220])]) ).
fof(f808,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_50 ),
inference(superposition,[],[f779,f625]) ).
fof(f2321,plain,
( ~ spl33_15
| spl33_219
| ~ spl33_20
| ~ spl33_49 ),
inference(avatar_split_clause,[],[f807,f774,f623,f2318,f599]) ).
fof(f2318,plain,
( spl33_219
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_219])]) ).
fof(f807,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_49 ),
inference(superposition,[],[f775,f625]) ).
fof(f2316,plain,
( ~ spl33_15
| ~ spl33_218
| ~ spl33_20
| ~ spl33_48 ),
inference(avatar_split_clause,[],[f806,f770,f623,f2313,f599]) ).
fof(f806,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_48 ),
inference(superposition,[],[f771,f625]) ).
fof(f2311,plain,
( ~ spl33_15
| ~ spl33_217
| ~ spl33_20
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f805,f766,f623,f2308,f599]) ).
fof(f2308,plain,
( spl33_217
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_217])]) ).
fof(f805,plain,
( xK != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_20
| ~ spl33_47 ),
inference(superposition,[],[f767,f625]) ).
fof(f2305,plain,
( spl33_216
| ~ spl33_17
| ~ spl33_61 ),
inference(avatar_split_clause,[],[f881,f845,f609,f2303]) ).
fof(f2303,plain,
( spl33_216
<=> ! [X0] :
( sP11(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_216])]) ).
fof(f881,plain,
( ! [X0] :
( sP11(X0,sz00)
| ~ aSet0(X0) )
| ~ spl33_17
| ~ spl33_61 ),
inference(resolution,[],[f846,f611]) ).
fof(f2297,plain,
( ~ spl33_65
| spl33_215
| ~ spl33_21
| ~ spl33_42 ),
inference(avatar_split_clause,[],[f750,f726,f628,f2294,f870]) ).
fof(f870,plain,
( spl33_65
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_65])]) ).
fof(f750,plain,
( sP4(sz00,slcrc0)
| ~ sP5(sz00)
| ~ spl33_21
| ~ spl33_42 ),
inference(superposition,[],[f727,f630]) ).
fof(f2292,plain,
( spl33_214
| ~ spl33_27
| ~ spl33_42 ),
inference(avatar_split_clause,[],[f749,f726,f655,f2290]) ).
fof(f655,plain,
( spl33_27
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f749,plain,
( ! [X0] :
( ~ sP5(X0)
| aSet0(slbdtrb0(X0)) )
| ~ spl33_27
| ~ spl33_42 ),
inference(resolution,[],[f727,f656]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| aSet0(X1) )
| ~ spl33_27 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f2264,plain,
( spl33_213
| ~ spl33_13
| ~ spl33_61 ),
inference(avatar_split_clause,[],[f886,f845,f589,f2262]) ).
fof(f2262,plain,
( spl33_213
<=> ! [X0] :
( sP11(X0,xi)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_213])]) ).
fof(f886,plain,
( ! [X0] :
( sP11(X0,xi)
| ~ aSet0(X0) )
| ~ spl33_13
| ~ spl33_61 ),
inference(resolution,[],[f846,f591]) ).
fof(f2260,plain,
( spl33_212
| ~ spl33_15
| ~ spl33_61 ),
inference(avatar_split_clause,[],[f885,f845,f599,f2258]) ).
fof(f2258,plain,
( spl33_212
<=> ! [X0] :
( sP11(X0,xk)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_212])]) ).
fof(f885,plain,
( ! [X0] :
( sP11(X0,xk)
| ~ aSet0(X0) )
| ~ spl33_15
| ~ spl33_61 ),
inference(resolution,[],[f846,f601]) ).
fof(f2256,plain,
( spl33_211
| ~ spl33_14
| ~ spl33_61 ),
inference(avatar_split_clause,[],[f884,f845,f594,f2254]) ).
fof(f884,plain,
( ! [X0] :
( sP11(X0,xK)
| ~ aSet0(X0) )
| ~ spl33_14
| ~ spl33_61 ),
inference(resolution,[],[f846,f596]) ).
fof(f2252,plain,
( spl33_210
| ~ spl33_13
| ~ spl33_60 ),
inference(avatar_split_clause,[],[f879,f841,f589,f2249]) ).
fof(f879,plain,
( xi = sbrdtbr0(slbdtrb0(xi))
| ~ spl33_13
| ~ spl33_60 ),
inference(resolution,[],[f842,f591]) ).
fof(f2247,plain,
( spl33_209
| ~ spl33_15
| ~ spl33_60 ),
inference(avatar_split_clause,[],[f878,f841,f599,f2244]) ).
fof(f878,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl33_15
| ~ spl33_60 ),
inference(resolution,[],[f842,f601]) ).
fof(f2242,plain,
( spl33_208
| ~ spl33_14
| ~ spl33_60 ),
inference(avatar_split_clause,[],[f877,f841,f594,f2239]) ).
fof(f877,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl33_14
| ~ spl33_60 ),
inference(resolution,[],[f842,f596]) ).
fof(f2237,plain,
( ~ spl33_7
| ~ spl33_207
| ~ spl33_8
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f743,f703,f563,f2234,f558]) ).
fof(f2234,plain,
( spl33_207
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_207])]) ).
fof(f743,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl33_8
| ~ spl33_37 ),
inference(resolution,[],[f704,f565]) ).
fof(f2232,plain,
( ~ spl33_9
| spl33_206
| ~ spl33_25
| ~ spl33_41 ),
inference(avatar_split_clause,[],[f724,f720,f647,f2229,f568]) ).
fof(f724,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl33_25
| ~ spl33_41 ),
inference(superposition,[],[f648,f722]) ).
fof(f2227,plain,
( ~ spl33_7
| spl33_184
| ~ spl33_16
| ~ spl33_46 ),
inference(avatar_split_clause,[],[f801,f762,f604,f2027,f558]) ).
fof(f801,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl33_16
| ~ spl33_46 ),
inference(resolution,[],[f763,f606]) ).
fof(f2226,plain,
( ~ spl33_7
| spl33_205
| ~ spl33_13
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f800,f758,f589,f2223,f558]) ).
fof(f800,plain,
( aElement0(xi)
| ~ aSet0(szNzAzT0)
| ~ spl33_13
| ~ spl33_45 ),
inference(resolution,[],[f759,f591]) ).
fof(f2221,plain,
( ~ spl33_7
| spl33_204
| ~ spl33_15
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f799,f758,f599,f2218,f558]) ).
fof(f799,plain,
( aElement0(xk)
| ~ aSet0(szNzAzT0)
| ~ spl33_15
| ~ spl33_45 ),
inference(resolution,[],[f759,f601]) ).
fof(f2215,plain,
spl33_203,
inference(avatar_split_clause,[],[f340,f2213]) ).
fof(f2213,plain,
( spl33_203
<=> ! [X0,X5,X2,X1] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_203])]) ).
fof(f340,plain,
! [X2,X0,X1,X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0)) )
& isCountable0(sK13(X0,X1,X2))
& aSubsetOf0(sK13(X0,X1,X2),X1)
& aElementOf0(sK12(X0,X1,X2),xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f103,f227,f226]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
=> ( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(sK12(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
=> ( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0)) )
& isCountable0(sK13(X0,X1,X2))
& aSubsetOf0(sK13(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
& slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(X4,X0))
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f2209,plain,
spl33_202,
inference(avatar_split_clause,[],[f338,f2207]) ).
fof(f2207,plain,
( spl33_202
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK13(X0,X1,X2),X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_202])]) ).
fof(f338,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK13(X0,X1,X2),X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f2205,plain,
( ~ spl33_7
| spl33_201
| ~ spl33_14
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f798,f758,f594,f2202,f558]) ).
fof(f798,plain,
( aElement0(xK)
| ~ aSet0(szNzAzT0)
| ~ spl33_14
| ~ spl33_45 ),
inference(resolution,[],[f759,f596]) ).
fof(f2200,plain,
spl33_200,
inference(avatar_split_clause,[],[f337,f2198]) ).
fof(f2198,plain,
( spl33_200
<=> ! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),xT)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_200])]) ).
fof(f337,plain,
! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),xT)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f2195,plain,
spl33_199,
inference(avatar_split_clause,[],[f339,f2193]) ).
fof(f339,plain,
! [X2,X0,X1] :
( isCountable0(sK13(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f2181,plain,
spl33_198,
inference(avatar_split_clause,[],[f455,f2179]) ).
fof(f455,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( ( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) )
& ( ( sK28(X0,X1,X2) != X0
& aElementOf0(sK28(X0,X1,X2),X1)
& aElement0(sK28(X0,X1,X2)) )
| aElementOf0(sK28(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) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f287,f288]) ).
fof(f288,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) ) )
=> ( ( sK28(X0,X1,X2) = X0
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) )
& ( ( sK28(X0,X1,X2) != X0
& aElementOf0(sK28(X0,X1,X2),X1)
& aElement0(sK28(X0,X1,X2)) )
| aElementOf0(sK28(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ( sP8(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) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f286]) ).
fof(f286,plain,
! [X1,X0,X2] :
( ( sP8(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) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(flattening,[],[f285]) ).
fof(f285,plain,
! [X1,X0,X2] :
( ( sP8(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) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X1,X0,X2] :
( sP8(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2177,plain,
spl33_197,
inference(avatar_split_clause,[],[f445,f2175]) ).
fof(f2175,plain,
( spl33_197
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_197])]) ).
fof(f445,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
& aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK27(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f282,f283]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
& aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK27(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(flattening,[],[f280]) ).
fof(f280,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X1,X0,X2] :
( sP6(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2161,plain,
spl33_196,
inference(avatar_split_clause,[],[f496,f2159]) ).
fof(f496,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f2157,plain,
spl33_195,
inference(avatar_split_clause,[],[f483,f2155]) ).
fof(f2155,plain,
( spl33_195
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_195])]) ).
fof(f483,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f306,f307]) ).
fof(f307,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f305]) ).
fof(f305,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f304]) ).
fof(f304,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2153,plain,
spl33_194,
inference(avatar_split_clause,[],[f415,f2151]) ).
fof(f415,plain,
! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( sz00 != X0
& aSet0(X2)
& aSet0(X1) )
=> ( ( slcrc0 != slbdtsldtrb0(X1,X0)
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelSub) ).
fof(f2142,plain,
spl33_193,
inference(avatar_split_clause,[],[f327,f2140]) ).
fof(f327,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f2122,plain,
spl33_192,
inference(avatar_split_clause,[],[f369,f2120]) ).
fof(f2120,plain,
( spl33_192
<=> ! [X4,X0,X2,X1] :
( sP2(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_192])]) ).
fof(f369,plain,
! [X2,X0,X1,X4] :
( sP2(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
& aElementOf0(sK16(X0,X1,X2),X1) )
| aElementOf0(sK15(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
& aElementOf0(sK17(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f240,f243,f242,f241]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK15(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK15(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK15(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
& aElementOf0(sK16(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
& aElementOf0(sK17(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(flattening,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2] :
( sP2(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2118,plain,
spl33_191,
inference(avatar_split_clause,[],[f368,f2116]) ).
fof(f368,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f2082,plain,
spl33_190,
inference(avatar_split_clause,[],[f500,f2080]) ).
fof(f500,plain,
! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f359]) ).
fof(f359,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f233,f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f232]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2078,plain,
spl33_189,
inference(avatar_split_clause,[],[f464,f2076]) ).
fof(f464,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) = X0
| aElementOf0(sK29(X0,X1,X2),X1)
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ( ( ( sK29(X0,X1,X2) != X0
& ~ aElementOf0(sK29(X0,X1,X2),X1) )
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) )
& ( ( ( sK29(X0,X1,X2) = X0
| aElementOf0(sK29(X0,X1,X2),X1) )
& aElement0(sK29(X0,X1,X2)) )
| aElementOf0(sK29(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) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f294,f295]) ).
fof(f295,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) ) )
=> ( ( ( sK29(X0,X1,X2) != X0
& ~ aElementOf0(sK29(X0,X1,X2),X1) )
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) )
& ( ( ( sK29(X0,X1,X2) = X0
| aElementOf0(sK29(X0,X1,X2),X1) )
& aElement0(sK29(X0,X1,X2)) )
| aElementOf0(sK29(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ( sP9(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) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f293]) ).
fof(f293,plain,
! [X1,X0,X2] :
( ( sP9(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) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(flattening,[],[f292]) ).
fof(f292,plain,
! [X1,X0,X2] :
( ( sP9(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) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X1,X0,X2] :
( sP9(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2053,plain,
spl33_188,
inference(avatar_split_clause,[],[f465,f2051]) ).
fof(f465,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f2049,plain,
spl33_187,
inference(avatar_split_clause,[],[f413,f2047]) ).
fof(f413,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),szNzAzT0) )
| aElementOf0(sK22(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f259,f260]) ).
fof(f260,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),szNzAzT0) )
| aElementOf0(sK22(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(nnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( sP4(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2045,plain,
spl33_186,
inference(avatar_split_clause,[],[f374,f2043]) ).
fof(f374,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
& sK18(X0) != sK19(X0)
& aElementOf0(sK19(X0),szDzozmdt0(X0))
& aElementOf0(sK18(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f116,f245]) ).
fof(f245,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
& sK18(X0) != sK19(X0)
& aElementOf0(sK19(X0),szDzozmdt0(X0))
& aElementOf0(sK18(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f2034,plain,
( ~ spl33_184
| ~ spl33_185
| ~ spl33_5
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f742,f703,f548,f2031,f2027]) ).
fof(f742,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl33_5
| ~ spl33_37 ),
inference(resolution,[],[f704,f550]) ).
fof(f550,plain,
( isCountable0(xS)
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1994,plain,
spl33_183,
inference(avatar_split_clause,[],[f474,f1992]) ).
fof(f474,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
& isFinite0(sK31(X0,X1,X2))
& aSubsetOf0(sK31(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f184,f301]) ).
fof(f301,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
& isFinite0(sK31(X0,X1,X2))
& aSubsetOf0(sK31(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( ( isFinite0(X2)
& aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
=> ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(f1990,plain,
spl33_182,
inference(avatar_split_clause,[],[f444,f1988]) ).
fof(f444,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1986,plain,
spl33_181,
inference(avatar_split_clause,[],[f426,f1984]) ).
fof(f426,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK23(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK23(X0,X1),X1)
& aElementOf0(sK23(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f264,f265]) ).
fof(f265,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK23(X0,X1),X1)
& aElementOf0(sK23(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f1982,plain,
spl33_180,
inference(avatar_split_clause,[],[f425,f1980]) ).
fof(f425,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK23(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1940,plain,
spl33_179,
inference(avatar_split_clause,[],[f482,f1938]) ).
fof(f482,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1932,plain,
spl33_178,
inference(avatar_split_clause,[],[f443,f1930]) ).
fof(f443,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1808,plain,
spl33_177,
inference(avatar_split_clause,[],[f498,f1806]) ).
fof(f498,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f1804,plain,
spl33_176,
inference(avatar_split_clause,[],[f493,f1802]) ).
fof(f493,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f1800,plain,
( spl33_175
| ~ spl33_17
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f734,f695,f609,f1797]) ).
fof(f734,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl33_17
| ~ spl33_35 ),
inference(resolution,[],[f696,f611]) ).
fof(f1795,plain,
spl33_174,
inference(avatar_split_clause,[],[f481,f1793]) ).
fof(f481,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1791,plain,
spl33_173,
inference(avatar_split_clause,[],[f472,f1789]) ).
fof(f472,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f1787,plain,
spl33_172,
inference(avatar_split_clause,[],[f432,f1785]) ).
fof(f432,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK25(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f271,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f1783,plain,
spl33_171,
inference(avatar_split_clause,[],[f431,f1781]) ).
fof(f431,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f1779,plain,
spl33_170,
inference(avatar_split_clause,[],[f367,f1777]) ).
fof(f367,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1771,plain,
spl33_169,
inference(avatar_split_clause,[],[f341,f1769]) ).
fof(f341,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f1726,plain,
spl33_168,
inference(avatar_split_clause,[],[f473,f1724]) ).
fof(f473,plain,
! [X2,X0,X1] :
( isFinite0(sK31(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f1722,plain,
spl33_167,
inference(avatar_split_clause,[],[f471,f1720]) ).
fof(f471,plain,
! [X0,X1] :
( sbrdtbr0(sK30(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f182,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f1718,plain,
spl33_166,
inference(avatar_split_clause,[],[f417,f1716]) ).
fof(f417,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f1714,plain,
spl33_165,
inference(avatar_split_clause,[],[f373,f1712]) ).
fof(f1712,plain,
( spl33_165
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK18(X0) != sK19(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_165])]) ).
fof(f373,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK18(X0) != sK19(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1710,plain,
spl33_164,
inference(avatar_split_clause,[],[f372,f1708]) ).
fof(f372,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1706,plain,
spl33_163,
inference(avatar_split_clause,[],[f371,f1704]) ).
fof(f371,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1698,plain,
spl33_162,
inference(avatar_split_clause,[],[f328,f1696]) ).
fof(f328,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1638,plain,
spl33_161,
inference(avatar_split_clause,[],[f470,f1636]) ).
fof(f470,plain,
! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f1634,plain,
spl33_160,
inference(avatar_split_clause,[],[f453,f1632]) ).
fof(f453,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1630,plain,
spl33_159,
inference(avatar_split_clause,[],[f412,f1628]) ).
fof(f412,plain,
! [X0,X1] :
( sP4(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1619,plain,
spl33_158,
inference(avatar_split_clause,[],[f342,f1617]) ).
fof(f342,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f1500,plain,
spl33_157,
inference(avatar_split_clause,[],[f526,f1498]) ).
fof(f1498,plain,
( spl33_157
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_157])]) ).
fof(f526,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f466]) ).
fof(f466,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1496,plain,
spl33_156,
inference(avatar_split_clause,[],[f507,f1494]) ).
fof(f507,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f424]) ).
fof(f424,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1492,plain,
spl33_155,
inference(avatar_split_clause,[],[f501,f1490]) ).
fof(f501,plain,
! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f358]) ).
fof(f358,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElementOf0(sK14(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f1488,plain,
spl33_154,
inference(avatar_split_clause,[],[f497,f1486]) ).
fof(f497,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f203]) ).
fof(f203,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(f1484,plain,
spl33_153,
inference(avatar_split_clause,[],[f494,f1482]) ).
fof(f494,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1480,plain,
spl33_152,
inference(avatar_split_clause,[],[f488,f1478]) ).
fof(f488,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f1476,plain,
spl33_151,
inference(avatar_split_clause,[],[f469,f1474]) ).
fof(f1474,plain,
( spl33_151
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_151])]) ).
fof(f469,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP9(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f180,f221]) ).
fof(f180,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,[],[f179]) ).
fof(f179,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(f1472,plain,
spl33_150,
inference(avatar_split_clause,[],[f463,f1470]) ).
fof(f463,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1468,plain,
spl33_149,
inference(avatar_split_clause,[],[f458,f1466]) ).
fof(f1466,plain,
( spl33_149
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_149])]) ).
fof(f458,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP8(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f178,f219]) ).
fof(f178,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,[],[f177]) ).
fof(f177,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(f1464,plain,
spl33_148,
inference(avatar_split_clause,[],[f452,f1462]) ).
fof(f452,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1460,plain,
spl33_147,
inference(avatar_split_clause,[],[f451,f1458]) ).
fof(f451,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1456,plain,
spl33_146,
inference(avatar_split_clause,[],[f411,f1454]) ).
fof(f411,plain,
! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1452,plain,
spl33_145,
inference(avatar_split_clause,[],[f383,f1450]) ).
fof(f383,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f1448,plain,
spl33_144,
inference(avatar_split_clause,[],[f365,f1446]) ).
fof(f365,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1444,plain,
spl33_143,
inference(avatar_split_clause,[],[f350,f1442]) ).
fof(f350,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& isCountable0(szDzozmdt0(X0)) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f1385,plain,
spl33_142,
inference(avatar_split_clause,[],[f492,f1383]) ).
fof(f492,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f1381,plain,
spl33_141,
inference(avatar_split_clause,[],[f491,f1379]) ).
fof(f491,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f1377,plain,
spl33_140,
inference(avatar_split_clause,[],[f490,f1375]) ).
fof(f490,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f1373,plain,
spl33_139,
inference(avatar_split_clause,[],[f489,f1371]) ).
fof(f489,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1369,plain,
spl33_138,
inference(avatar_split_clause,[],[f487,f1367]) ).
fof(f487,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f1365,plain,
spl33_137,
inference(avatar_split_clause,[],[f485,f1363]) ).
fof(f485,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1361,plain,
spl33_136,
inference(avatar_split_clause,[],[f422,f1359]) ).
fof(f422,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f1357,plain,
spl33_135,
inference(avatar_split_clause,[],[f357,f1355]) ).
fof(f357,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f1353,plain,
spl33_134,
inference(avatar_split_clause,[],[f352,f1351]) ).
fof(f352,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f1328,plain,
spl33_133,
inference(avatar_split_clause,[],[f525,f1326]) ).
fof(f1326,plain,
( spl33_133
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_133])]) ).
fof(f525,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f454]) ).
fof(f454,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1324,plain,
spl33_132,
inference(avatar_split_clause,[],[f514,f1322]) ).
fof(f514,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f442]) ).
fof(f442,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1320,plain,
spl33_131,
inference(avatar_split_clause,[],[f509,f1318]) ).
fof(f509,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f430]) ).
fof(f430,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f1316,plain,
spl33_130,
inference(avatar_split_clause,[],[f486,f1314]) ).
fof(f486,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1312,plain,
spl33_129,
inference(avatar_split_clause,[],[f460,f1310]) ).
fof(f460,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1308,plain,
spl33_128,
inference(avatar_split_clause,[],[f447,f1306]) ).
fof(f447,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f175]) ).
fof(f175,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(f1304,plain,
spl33_127,
inference(avatar_split_clause,[],[f410,f1302]) ).
fof(f410,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1300,plain,
spl33_126,
inference(avatar_split_clause,[],[f364,f1298]) ).
fof(f364,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1296,plain,
spl33_125,
inference(avatar_split_clause,[],[f349,f1294]) ).
fof(f349,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f1276,plain,
( spl33_124
| ~ spl33_13
| ~ spl33_36 ),
inference(avatar_split_clause,[],[f741,f699,f589,f1273]) ).
fof(f741,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl33_13
| ~ spl33_36 ),
inference(resolution,[],[f700,f591]) ).
fof(f1232,plain,
spl33_123,
inference(avatar_split_clause,[],[f508,f1230]) ).
fof(f508,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1228,plain,
spl33_122,
inference(avatar_split_clause,[],[f503,f1226]) ).
fof(f503,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ),
inference(equality_resolution,[],[f366]) ).
fof(f366,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1224,plain,
( spl33_121
| ~ spl33_15
| ~ spl33_36 ),
inference(avatar_split_clause,[],[f740,f699,f599,f1221]) ).
fof(f740,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl33_15
| ~ spl33_36 ),
inference(resolution,[],[f700,f601]) ).
fof(f1219,plain,
spl33_120,
inference(avatar_split_clause,[],[f476,f1217]) ).
fof(f1217,plain,
( spl33_120
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_120])]) ).
fof(f476,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2) )
& ( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP10(X1,X0,X2) )
| ~ sP11(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1215,plain,
spl33_119,
inference(avatar_split_clause,[],[f461,f1213]) ).
fof(f461,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1211,plain,
spl33_118,
inference(avatar_split_clause,[],[f441,f1209]) ).
fof(f441,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1207,plain,
spl33_117,
inference(avatar_split_clause,[],[f438,f1205]) ).
fof(f1205,plain,
( spl33_117
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_117])]) ).
fof(f438,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2) )
& ( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP7(X0,X1) ),
inference(nnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP6(X1,X0,X2) )
| ~ sP7(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1203,plain,
spl33_116,
inference(avatar_split_clause,[],[f416,f1201]) ).
fof(f416,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f1199,plain,
spl33_115,
inference(avatar_split_clause,[],[f388,f1197]) ).
fof(f388,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(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,[sK20])],[f251,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f251,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,[],[f250]) ).
fof(f250,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,[],[f249]) ).
fof(f249,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,[],[f127]) ).
fof(f127,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(f1195,plain,
spl33_114,
inference(avatar_split_clause,[],[f387,f1193]) ).
fof(f387,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f1191,plain,
spl33_113,
inference(avatar_split_clause,[],[f384,f1189]) ).
fof(f384,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f1187,plain,
spl33_112,
inference(avatar_split_clause,[],[f382,f1185]) ).
fof(f382,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f1183,plain,
spl33_111,
inference(avatar_split_clause,[],[f362,f1181]) ).
fof(f1181,plain,
( spl33_111
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_111])]) ).
fof(f362,plain,
! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f236]) ).
fof(f236,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP2(X0,X1,X2) )
& ( sP2(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP2(X0,X1,X2) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1179,plain,
( spl33_110
| ~ spl33_14
| ~ spl33_36 ),
inference(avatar_split_clause,[],[f739,f699,f594,f1176]) ).
fof(f739,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl33_14
| ~ spl33_36 ),
inference(resolution,[],[f700,f596]) ).
fof(f1174,plain,
spl33_109,
inference(avatar_split_clause,[],[f354,f1172]) ).
fof(f1172,plain,
( spl33_109
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_109])]) ).
fof(f354,plain,
! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f229]) ).
fof(f229,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1169,plain,
spl33_108,
inference(avatar_split_clause,[],[f320,f1166]) ).
fof(f320,plain,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989_02) ).
fof(f1140,plain,
spl33_107,
inference(avatar_split_clause,[],[f522,f1138]) ).
fof(f522,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f480]) ).
fof(f480,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1136,plain,
( spl33_106
| ~ spl33_13
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f737,f695,f589,f1133]) ).
fof(f1133,plain,
( spl33_106
<=> sdtlseqdt0(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_106])]) ).
fof(f737,plain,
( sdtlseqdt0(xi,xi)
| ~ spl33_13
| ~ spl33_35 ),
inference(resolution,[],[f696,f591]) ).
fof(f1131,plain,
spl33_105,
inference(avatar_split_clause,[],[f479,f1129]) ).
fof(f479,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1127,plain,
spl33_104,
inference(avatar_split_clause,[],[f440,f1125]) ).
fof(f440,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1123,plain,
spl33_103,
inference(avatar_split_clause,[],[f418,f1121]) ).
fof(f1121,plain,
( spl33_103
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_103])]) ).
fof(f418,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1119,plain,
spl33_102,
inference(avatar_split_clause,[],[f404,f1117]) ).
fof(f404,plain,
! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f146,f254]) ).
fof(f254,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1115,plain,
spl33_101,
inference(avatar_split_clause,[],[f386,f1113]) ).
fof(f386,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f1095,plain,
( spl33_100
| ~ spl33_15
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f736,f695,f599,f1092]) ).
fof(f1092,plain,
( spl33_100
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_100])]) ).
fof(f736,plain,
( sdtlseqdt0(xk,xk)
| ~ spl33_15
| ~ spl33_35 ),
inference(resolution,[],[f696,f601]) ).
fof(f1069,plain,
spl33_99,
inference(avatar_split_clause,[],[f519,f1067]) ).
fof(f519,plain,
! [X0,X1] :
( sP9(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f468]) ).
fof(f468,plain,
! [X2,X0,X1] :
( sP9(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f1065,plain,
( spl33_98
| ~ spl33_14
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f735,f695,f594,f1062]) ).
fof(f1062,plain,
( spl33_98
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f735,plain,
( sdtlseqdt0(xK,xK)
| ~ spl33_14
| ~ spl33_35 ),
inference(resolution,[],[f696,f596]) ).
fof(f1060,plain,
spl33_97,
inference(avatar_split_clause,[],[f516,f1058]) ).
fof(f516,plain,
! [X0,X1] :
( sP8(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f457]) ).
fof(f457,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1056,plain,
spl33_96,
inference(avatar_split_clause,[],[f510,f1054]) ).
fof(f510,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f1052,plain,
spl33_95,
inference(avatar_split_clause,[],[f478,f1050]) ).
fof(f478,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1048,plain,
spl33_94,
inference(avatar_split_clause,[],[f449,f1046]) ).
fof(f449,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1044,plain,
spl33_93,
inference(avatar_split_clause,[],[f436,f1042]) ).
fof(f436,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f1040,plain,
spl33_92,
inference(avatar_split_clause,[],[f428,f1038]) ).
fof(f428,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
& aElementOf0(sK24(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f167,f267]) ).
fof(f267,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
& aElementOf0(sK24(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f1036,plain,
spl33_91,
inference(avatar_split_clause,[],[f409,f1034]) ).
fof(f409,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1032,plain,
spl33_90,
inference(avatar_split_clause,[],[f403,f1030]) ).
fof(f403,plain,
! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1028,plain,
spl33_89,
inference(avatar_split_clause,[],[f392,f1026]) ).
fof(f392,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f1024,plain,
spl33_88,
inference(avatar_split_clause,[],[f391,f1022]) ).
fof(f391,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f1020,plain,
( spl33_87
| ~ spl33_13
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f732,f691,f589,f1017]) ).
fof(f1017,plain,
( spl33_87
<=> isFinite0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_87])]) ).
fof(f732,plain,
( isFinite0(slbdtrb0(xi))
| ~ spl33_13
| ~ spl33_34 ),
inference(resolution,[],[f692,f591]) ).
fof(f1015,plain,
spl33_86,
inference(avatar_split_clause,[],[f390,f1013]) ).
fof(f1013,plain,
( spl33_86
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_86])]) ).
fof(f390,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f1011,plain,
spl33_85,
inference(avatar_split_clause,[],[f389,f1009]) ).
fof(f1009,plain,
( spl33_85
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_85])]) ).
fof(f389,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f1007,plain,
spl33_84,
inference(avatar_split_clause,[],[f351,f1005]) ).
fof(f351,plain,
! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f997,plain,
( spl33_83
| ~ spl33_15
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f731,f691,f599,f994]) ).
fof(f994,plain,
( spl33_83
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_83])]) ).
fof(f731,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl33_15
| ~ spl33_34 ),
inference(resolution,[],[f692,f601]) ).
fof(f961,plain,
spl33_82,
inference(avatar_split_clause,[],[f521,f959]) ).
fof(f521,plain,
! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ),
inference(equality_resolution,[],[f475]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
fof(f957,plain,
spl33_81,
inference(avatar_split_clause,[],[f518,f955]) ).
fof(f518,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP9(X4,X1,X2) ),
inference(equality_resolution,[],[f462]) ).
fof(f462,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f953,plain,
( spl33_80
| ~ spl33_14
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f730,f691,f594,f950]) ).
fof(f950,plain,
( spl33_80
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_80])]) ).
fof(f730,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl33_14
| ~ spl33_34 ),
inference(resolution,[],[f692,f596]) ).
fof(f948,plain,
spl33_79,
inference(avatar_split_clause,[],[f513,f946]) ).
fof(f513,plain,
! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) ),
inference(equality_resolution,[],[f437]) ).
fof(f437,plain,
! [X2,X0,X1] :
( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f944,plain,
spl33_78,
inference(avatar_split_clause,[],[f502,f942]) ).
fof(f502,plain,
! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f361]) ).
fof(f361,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f940,plain,
spl33_77,
inference(avatar_split_clause,[],[f499,f938]) ).
fof(f499,plain,
! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f353]) ).
fof(f353,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f936,plain,
spl33_76,
inference(avatar_split_clause,[],[f459,f934]) ).
fof(f459,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f932,plain,
spl33_75,
inference(avatar_split_clause,[],[f448,f930]) ).
fof(f448,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f928,plain,
spl33_74,
inference(avatar_split_clause,[],[f435,f926]) ).
fof(f435,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f276,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK26(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,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(f924,plain,
spl33_73,
inference(avatar_split_clause,[],[f427,f922]) ).
fof(f427,plain,
! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f920,plain,
spl33_72,
inference(avatar_split_clause,[],[f419,f918]) ).
fof(f419,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,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(f916,plain,
spl33_71,
inference(avatar_split_clause,[],[f408,f914]) ).
fof(f408,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f912,plain,
spl33_70,
inference(avatar_split_clause,[],[f406,f910]) ).
fof(f910,plain,
( spl33_70
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_70])]) ).
fof(f406,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f908,plain,
spl33_69,
inference(avatar_split_clause,[],[f377,f906]) ).
fof(f906,plain,
( spl33_69
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f377,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f904,plain,
spl33_68,
inference(avatar_split_clause,[],[f370,f902]) ).
fof(f370,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f114,f211,f210]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f900,plain,
spl33_67,
inference(avatar_split_clause,[],[f360,f898]) ).
fof(f360,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f113,f208,f207]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(f893,plain,
spl33_66,
inference(avatar_split_clause,[],[f319,f890]) ).
fof(f319,plain,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f87]) ).
fof(f87,axiom,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4007) ).
fof(f873,plain,
( spl33_65
| ~ spl33_17
| ~ spl33_28 ),
inference(avatar_split_clause,[],[f663,f659,f609,f870]) ).
fof(f663,plain,
( sP5(sz00)
| ~ spl33_17
| ~ spl33_28 ),
inference(resolution,[],[f660,f611]) ).
fof(f859,plain,
spl33_64,
inference(avatar_split_clause,[],[f524,f857]) ).
fof(f524,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f523,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f495]) ).
fof(f495,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f855,plain,
spl33_63,
inference(avatar_split_clause,[],[f520,f853]) ).
fof(f520,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f467]) ).
fof(f467,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f851,plain,
spl33_62,
inference(avatar_split_clause,[],[f517,f849]) ).
fof(f517,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f456]) ).
fof(f456,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f847,plain,
spl33_61,
inference(avatar_split_clause,[],[f484,f845]) ).
fof(f484,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f186,f224,f223]) ).
fof(f186,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f843,plain,
spl33_60,
inference(avatar_split_clause,[],[f400,f841]) ).
fof(f400,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f839,plain,
spl33_59,
inference(avatar_split_clause,[],[f380,f837]) ).
fof(f380,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f835,plain,
spl33_58,
inference(avatar_split_clause,[],[f379,f833]) ).
fof(f379,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f831,plain,
spl33_57,
inference(avatar_split_clause,[],[f356,f829]) ).
fof(f356,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f824,plain,
spl33_56,
inference(avatar_split_clause,[],[f335,f822]) ).
fof(f335,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f820,plain,
spl33_55,
inference(avatar_split_clause,[],[f318,f817]) ).
fof(f318,plain,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
inference(cnf_transformation,[],[f88]) ).
fof(f88,axiom,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4024) ).
fof(f796,plain,
spl33_54,
inference(avatar_split_clause,[],[f515,f794]) ).
fof(f515,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP8(X4,X1,X2) ),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
fof(f792,plain,
spl33_53,
inference(avatar_split_clause,[],[f446,f790]) ).
fof(f790,plain,
( spl33_53
<=> ! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_53])]) ).
fof(f446,plain,
! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f174,f217,f216]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f788,plain,
spl33_52,
inference(avatar_split_clause,[],[f402,f786]) ).
fof(f786,plain,
( spl33_52
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_52])]) ).
fof(f402,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f784,plain,
spl33_51,
inference(avatar_split_clause,[],[f401,f782]) ).
fof(f401,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f780,plain,
spl33_50,
inference(avatar_split_clause,[],[f399,f778]) ).
fof(f399,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f776,plain,
spl33_49,
inference(avatar_split_clause,[],[f398,f774]) ).
fof(f398,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f772,plain,
spl33_48,
inference(avatar_split_clause,[],[f397,f770]) ).
fof(f397,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f768,plain,
spl33_47,
inference(avatar_split_clause,[],[f396,f766]) ).
fof(f396,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f764,plain,
spl33_46,
inference(avatar_split_clause,[],[f385,f762]) ).
fof(f385,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f760,plain,
spl33_45,
inference(avatar_split_clause,[],[f381,f758]) ).
fof(f381,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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(f754,plain,
spl33_44,
inference(avatar_split_clause,[],[f336,f752]) ).
fof(f336,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f748,plain,
( spl33_43
| ~ spl33_13
| ~ spl33_28 ),
inference(avatar_split_clause,[],[f666,f659,f589,f745]) ).
fof(f745,plain,
( spl33_43
<=> sP5(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_43])]) ).
fof(f666,plain,
( sP5(xi)
| ~ spl33_13
| ~ spl33_28 ),
inference(resolution,[],[f660,f591]) ).
fof(f728,plain,
spl33_42,
inference(avatar_split_clause,[],[f505,f726]) ).
fof(f505,plain,
! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f405]) ).
fof(f405,plain,
! [X0,X1] :
( sP4(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f723,plain,
( ~ spl33_9
| spl33_41 ),
inference(avatar_split_clause,[],[f504,f720,f568]) ).
fof(f504,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f378]) ).
fof(f378,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f718,plain,
spl33_40,
inference(avatar_split_clause,[],[f477,f716]) ).
fof(f477,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f714,plain,
( spl33_39
| ~ spl33_15
| ~ spl33_28 ),
inference(avatar_split_clause,[],[f665,f659,f599,f711]) ).
fof(f711,plain,
( spl33_39
<=> sP5(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_39])]) ).
fof(f665,plain,
( sP5(xk)
| ~ spl33_15
| ~ spl33_28 ),
inference(resolution,[],[f660,f601]) ).
fof(f709,plain,
spl33_38,
inference(avatar_split_clause,[],[f439,f707]) ).
fof(f439,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f705,plain,
spl33_37,
inference(avatar_split_clause,[],[f420,f703]) ).
fof(f420,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f701,plain,
spl33_36,
inference(avatar_split_clause,[],[f395,f699]) ).
fof(f395,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f697,plain,
spl33_35,
inference(avatar_split_clause,[],[f394,f695]) ).
fof(f394,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f693,plain,
spl33_34,
inference(avatar_split_clause,[],[f393,f691]) ).
fof(f393,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f689,plain,
spl33_33,
inference(avatar_split_clause,[],[f363,f687]) ).
fof(f363,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f685,plain,
spl33_32,
inference(avatar_split_clause,[],[f355,f683]) ).
fof(f355,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f681,plain,
spl33_31,
inference(avatar_split_clause,[],[f323,f678]) ).
fof(f323,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f676,plain,
( spl33_30
| ~ spl33_14
| ~ spl33_28 ),
inference(avatar_split_clause,[],[f664,f659,f594,f673]) ).
fof(f664,plain,
( sP5(xK)
| ~ spl33_14
| ~ spl33_28 ),
inference(resolution,[],[f660,f596]) ).
fof(f671,plain,
spl33_29,
inference(avatar_split_clause,[],[f322,f668]) ).
fof(f322,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f661,plain,
spl33_28,
inference(avatar_split_clause,[],[f414,f659]) ).
fof(f414,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f147,f214,f213]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f657,plain,
spl33_27,
inference(avatar_split_clause,[],[f407,f655]) ).
fof(f407,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f653,plain,
spl33_26,
inference(avatar_split_clause,[],[f376,f651]) ).
fof(f376,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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(f649,plain,
spl33_25,
inference(avatar_split_clause,[],[f375,f647]) ).
fof(f375,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f645,plain,
spl33_24,
inference(avatar_split_clause,[],[f348,f643]) ).
fof(f348,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f641,plain,
spl33_23,
inference(avatar_split_clause,[],[f326,f638]) ).
fof(f326,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f100]) ).
fof(f636,plain,
( ~ spl33_9
| ~ spl33_22 ),
inference(avatar_split_clause,[],[f506,f633,f568]) ).
fof(f506,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f421]) ).
fof(f421,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f631,plain,
spl33_21,
inference(avatar_split_clause,[],[f345,f628]) ).
fof(f345,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f626,plain,
spl33_20,
inference(avatar_split_clause,[],[f332,f623]) ).
fof(f332,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f621,plain,
spl33_19,
inference(avatar_split_clause,[],[f325,f618]) ).
fof(f325,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f100]) ).
fof(f616,plain,
spl33_18,
inference(avatar_split_clause,[],[f511,f614]) ).
fof(f511,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f434]) ).
fof(f434,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f278]) ).
fof(f612,plain,
spl33_17,
inference(avatar_split_clause,[],[f344,f609]) ).
fof(f344,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f607,plain,
spl33_16,
inference(avatar_split_clause,[],[f333,f604]) ).
fof(f333,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f602,plain,
spl33_15,
inference(avatar_split_clause,[],[f331,f599]) ).
fof(f331,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f597,plain,
spl33_14,
inference(avatar_split_clause,[],[f317,f594]) ).
fof(f317,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f592,plain,
spl33_13,
inference(avatar_split_clause,[],[f316,f589]) ).
fof(f316,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).
fof(f587,plain,
~ spl33_12,
inference(avatar_split_clause,[],[f314,f584]) ).
fof(f314,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f582,plain,
( ~ spl33_11
| spl33_10 ),
inference(avatar_split_clause,[],[f577,f573,f579]) ).
fof(f573,plain,
( spl33_10
<=> aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f577,plain,
( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))
| spl33_10 ),
inference(forward_demodulation,[],[f575,f322]) ).
fof(f575,plain,
( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
| spl33_10 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f576,plain,
~ spl33_10,
inference(avatar_split_clause,[],[f313,f573]) ).
fof(f313,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(flattening,[],[f90]) ).
fof(f90,negated_conjecture,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(negated_conjecture,[],[f89]) ).
fof(f89,conjecture,
aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f571,plain,
spl33_9,
inference(avatar_split_clause,[],[f512,f568]) ).
fof(f512,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f433]) ).
fof(f433,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f278]) ).
fof(f566,plain,
spl33_8,
inference(avatar_split_clause,[],[f347,f563]) ).
fof(f347,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f561,plain,
spl33_7,
inference(avatar_split_clause,[],[f346,f558]) ).
fof(f346,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f556,plain,
spl33_6,
inference(avatar_split_clause,[],[f343,f553]) ).
fof(f343,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f551,plain,
spl33_5,
inference(avatar_split_clause,[],[f334,f548]) ).
fof(f334,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f546,plain,
spl33_4,
inference(avatar_split_clause,[],[f330,f543]) ).
fof(f330,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f541,plain,
spl33_3,
inference(avatar_split_clause,[],[f329,f538]) ).
fof(f329,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f536,plain,
spl33_2,
inference(avatar_split_clause,[],[f324,f533]) ).
fof(f324,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f100]) ).
fof(f531,plain,
spl33_1,
inference(avatar_split_clause,[],[f321,f528]) ).
fof(f321,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM584+1 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 07:01:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (14407)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (14410)WARNING: value z3 for option sas not known
% 0.11/0.35 % (14411)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (14408)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (14410)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)
% 0.11/0.35 % (14409)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.36 % (14413)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)
% 0.11/0.36 % (14412)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)
% 0.11/0.36 % (14414)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)
% 0.11/0.37 TRYING [1]
% 0.11/0.37 TRYING [1]
% 0.11/0.37 TRYING [2]
% 0.11/0.37 TRYING [2]
% 0.11/0.39 TRYING [3]
% 0.11/0.39 TRYING [3]
% 0.17/0.45 TRYING [4]
% 0.17/0.46 TRYING [4]
% 1.45/0.61 TRYING [5]
% 2.14/0.67 TRYING [5]
% 4.70/1.02 TRYING [6]
% 4.70/1.04 TRYING [1]
% 4.70/1.04 TRYING [2]
% 4.70/1.05 TRYING [3]
% 5.54/1.14 TRYING [4]
% 6.38/1.24 TRYING [6]
% 7.26/1.40 TRYING [5]
% 9.48/1.70 % (14412)First to succeed.
% 9.96/1.77 % (14412)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14407"
% 9.96/1.77 % (14412)Refutation found. Thanks to Tanya!
% 9.96/1.77 % SZS status Theorem for theBenchmark
% 9.96/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 9.96/1.81 % (14412)------------------------------
% 9.96/1.81 % (14412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 9.96/1.81 % (14412)Termination reason: Refutation
% 9.96/1.81
% 9.96/1.81 % (14412)Memory used [KB]: 14260
% 9.96/1.81 % (14412)Time elapsed: 1.414 s
% 9.96/1.81 % (14412)Instructions burned: 1968 (million)
% 9.96/1.81 % (14407)Success in time 1.373 s
%------------------------------------------------------------------------------