TSTP Solution File: NUM603+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM603+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Sun May 5 08:39:28 EDT 2024
% Result : Theorem 5.99s 1.26s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1117
% Syntax : Number of formulae : 3655 ( 463 unt; 0 def)
% Number of atoms : 14379 (1389 equ)
% Maximal formula atoms : 47 ( 3 avg)
% Number of connectives : 18184 (7460 ~;7652 |;1705 &)
% (1073 <=>; 294 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 989 ( 987 usr; 931 prp; 0-4 aty)
% Number of functors : 77 ( 77 usr; 17 con; 0-4 aty)
% Number of variables : 4705 (4454 !; 251 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20802,plain,
$false,
inference(avatar_sat_refutation,[],[f1027,f1032,f1037,f1042,f1047,f1052,f1057,f1062,f1067,f1072,f1077,f1082,f1087,f1092,f1097,f1102,f1107,f1112,f1117,f1122,f1127,f1132,f1137,f1142,f1147,f1151,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1190,f1194,f1198,f1202,f1206,f1210,f1215,f1220,f1225,f1229,f1234,f1239,f1244,f1249,f1253,f1257,f1262,f1276,f1280,f1284,f1288,f1292,f1296,f1300,f1304,f1308,f1312,f1316,f1321,f1325,f1334,f1342,f1347,f1352,f1356,f1361,f1366,f1370,f1374,f1378,f1382,f1386,f1390,f1394,f1398,f1403,f1407,f1411,f1415,f1419,f1423,f1427,f1431,f1436,f1441,f1446,f1460,f1479,f1483,f1487,f1491,f1496,f1500,f1504,f1508,f1517,f1521,f1525,f1529,f1533,f1537,f1541,f1545,f1549,f1553,f1557,f1564,f1568,f1572,f1576,f1580,f1584,f1634,f1638,f1643,f1647,f1651,f1657,f1661,f1665,f1669,f1673,f1677,f1681,f1685,f1689,f1693,f1698,f1730,f1736,f1740,f1744,f1748,f1754,f1758,f1762,f1766,f1770,f1774,f1778,f1782,f1786,f1790,f1794,f1798,f1802,f1806,f1810,f1814,f1818,f1822,f1826,f1830,f1837,f1861,f1910,f1916,f1920,f1924,f1928,f1932,f1944,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1984,f1991,f1995,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2031,f2125,f2129,f2133,f2137,f2141,f2145,f2149,f2153,f2211,f2215,f2219,f2223,f2228,f2232,f2236,f2240,f2244,f2248,f2252,f2256,f2260,f2264,f2268,f2283,f2287,f2291,f2295,f2299,f2310,f2342,f2351,f2355,f2359,f2363,f2367,f2371,f2376,f2414,f2418,f2422,f2426,f2433,f2437,f2441,f2445,f2449,f2453,f2457,f2461,f2465,f2469,f2473,f2477,f2481,f2485,f2489,f2493,f2497,f2501,f2551,f2640,f2644,f2648,f2669,f2673,f2677,f2681,f2685,f2689,f2694,f2698,f2702,f2706,f2710,f2714,f2718,f2722,f2726,f2730,f2734,f2797,f2801,f2805,f2809,f2813,f2837,f2841,f2845,f2849,f2854,f2858,f2862,f2866,f2870,f2874,f2878,f2882,f2886,f2890,f2894,f2899,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2935,f2939,f2944,f2948,f2952,f2956,f3221,f3225,f3229,f3233,f3237,f3241,f3245,f3249,f3253,f3258,f3262,f3266,f3270,f3274,f3278,f3282,f3286,f3290,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3359,f3363,f3367,f3714,f3784,f3788,f3811,f3815,f3821,f3825,f3829,f3833,f4061,f4065,f4069,f4073,f4077,f4081,f4085,f4089,f4093,f4097,f4101,f4105,f4109,f4113,f4117,f4121,f4125,f4129,f4359,f4363,f4385,f4389,f4393,f4397,f4401,f4405,f4409,f4413,f4417,f4421,f4425,f4429,f4434,f4438,f4442,f4896,f4923,f4927,f4932,f4936,f4940,f4944,f4948,f4952,f4956,f4960,f4964,f4972,f5179,f5183,f5192,f5225,f5229,f5233,f5237,f5241,f5245,f5249,f5253,f5265,f5269,f5462,f5557,f5561,f5565,f5569,f5573,f5577,f5653,f5657,f5661,f5700,f5704,f5708,f5712,f5716,f5720,f5724,f5728,f5732,f5736,f5740,f6010,f6021,f6025,f6116,f6127,f6131,f6136,f6148,f6152,f6156,f6160,f6164,f6168,f6172,f6176,f6265,f6270,f6280,f6284,f6425,f6576,f6584,f6592,f6596,f6630,f6634,f6639,f6648,f6653,f6658,f6663,f6668,f6673,f6678,f6684,f6689,f6694,f6699,f6740,f6748,f6773,f6782,f6815,f6820,f6825,f6830,f6835,f6840,f6845,f6850,f6859,f6863,f6867,f6871,f6882,f6887,f6892,f6897,f6901,f6905,f6909,f6918,f7091,f7095,f7100,f7105,f7113,f7117,f7130,f7139,f7149,f7158,f7167,f7190,f7195,f7200,f7206,f7210,f7215,f7220,f7229,f7236,f7241,f7246,f7338,f7429,f7433,f7437,f7441,f7445,f7449,f7454,f7499,f7504,f7508,f7512,f7517,f7525,f7529,f7534,f7538,f7582,f7586,f7590,f7594,f7598,f7602,f7607,f7611,f7615,f7619,f7623,f7645,f7677,f7719,f7766,f7771,f7782,f7793,f7804,f7809,f7815,f7827,f7839,f7851,f7863,f7875,f7887,f7899,f7912,f7916,f7920,f7929,f7938,f8012,f8019,f8028,f8034,f8062,f8090,f8096,f8100,f8104,f8108,f8113,f8118,f8122,f8126,f8130,f8134,f8138,f8143,f8147,f8189,f8194,f8228,f8262,f8267,f8503,f8507,f8551,f8555,f8559,f8564,f8568,f8573,f8648,f8652,f8656,f8692,f8712,f8718,f8722,f8730,f8734,f8740,f8746,f8751,f8755,f8763,f8768,f8772,f8776,f8797,f8818,f8839,f8865,f8875,f8879,f8883,f8887,f8891,f8895,f8899,f8903,f8908,f8916,f8924,f8928,f8932,f8941,f9053,f9249,f9250,f9255,f9259,f9263,f9267,f9271,f9275,f9279,f9283,f9287,f9292,f9296,f9300,f9304,f9308,f9312,f9316,f9320,f9324,f9328,f9332,f9479,f9483,f9487,f9491,f9496,f9501,f9510,f9515,f9520,f9525,f9530,f9535,f9540,f9545,f9553,f9603,f9607,f9611,f9616,f9620,f9624,f9628,f9632,f9636,f9640,f9644,f9648,f9652,f9697,f10059,f10068,f10073,f10107,f10111,f10115,f10119,f10124,f10133,f10140,f10144,f10153,f10162,f10171,f10175,f10179,f10183,f10187,f10197,f10202,f10240,f10245,f10250,f10283,f10321,f10338,f10511,f10965,f10969,f10973,f10977,f10981,f10986,f10990,f10994,f10998,f11002,f11006,f11010,f11014,f11018,f11029,f11034,f11038,f11042,f11067,f11071,f11108,f11269,f11279,f11283,f11287,f11291,f11295,f11301,f11306,f11357,f11365,f11373,f11381,f11389,f11394,f11398,f11406,f11413,f11424,f11461,f11499,f11503,f11540,f11624,f11628,f11633,f11637,f11641,f11645,f11649,f11656,f11683,f11684,f11685,f11686,f11687,f11688,f11689,f11690,f11691,f11692,f12691,f12904,f13012,f14752,f15059,f15146,f15149,f15192,f15569,f15577,f15600,f15615,f15620,f16040,f16081,f16170,f16853,f17349,f17536,f17545,f17590,f17594,f17598,f17602,f17606,f17610,f17614,f17618,f17717,f17721,f17836,f17866,f17931,f18414,f18438,f18442,f18446,f18450,f18455,f18459,f18463,f18505,f18539,f18550,f18561,f18576,f18589,f18604,f18610,f18656,f18665,f18669,f18677,f18805,f18809,f18813,f18817,f18821,f18825,f18829,f18839,f18849,f18856,f18860,f18864,f18928,f18932,f18936,f18940,f18944,f18949,f18953,f18957,f18961,f19265,f19274,f19278,f19282,f19286,f19290,f19346,f19402,f19406,f19410,f19414,f19418,f19422,f19426,f19430,f19434,f19438,f19442,f19446,f19450,f19454,f19458,f19462,f19500,f19511,f19523,f19527,f19536,f19540,f20114,f20118,f20122,f20126,f20130,f20134,f20138,f20143,f20147,f20151,f20155,f20159,f20163,f20167,f20171,f20175,f20179,f20183,f20187,f20191,f20195,f20199,f20203,f20207,f20211,f20215,f20219,f20223,f20228,f20232,f20530,f20769,f20776,f20780,f20784,f20788,f20792,f20796,f20800,f20801]) ).
fof(f20801,plain,
( ~ spl96_462
| ~ spl96_22
| spl96_3
| ~ spl96_885 ),
inference(avatar_split_clause,[],[f19512,f19509,f1034,f1129,f6691]) ).
fof(f6691,plain,
( spl96_462
<=> sdtlseqdt0(sz00,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_462])]) ).
fof(f1129,plain,
( spl96_22
<=> aElementOf0(xi,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_22])]) ).
fof(f1034,plain,
( spl96_3
<=> aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_3])]) ).
fof(f19509,plain,
( spl96_885
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_885])]) ).
fof(f19512,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(sz00,xi)
| spl96_3
| ~ spl96_885 ),
inference(resolution,[],[f19510,f1036]) ).
fof(f1036,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| spl96_3 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f19510,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl96_885 ),
inference(avatar_component_clause,[],[f19509]) ).
fof(f20800,plain,
( spl96_930
| ~ spl96_68
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3623,f3280,f1354,f20798]) ).
fof(f20798,plain,
( spl96_930
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,xS))
| sP44(X0,X1,xS)
| aElementOf0(sK91(X0,X1,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_930])]) ).
fof(f1354,plain,
( spl96_68
<=> ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_68])]) ).
fof(f3280,plain,
( spl96_315
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| aElement0(sK91(X0,X1,X2))
| aElementOf0(sK91(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_315])]) ).
fof(f3623,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,xS))
| sP44(X0,X1,xS)
| aElementOf0(sK91(X0,X1,xS),szNzAzT0) )
| ~ spl96_68
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1355]) ).
fof(f1355,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
| ~ spl96_68 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f3281,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK91(X0,X1,X2),X2)
| aElement0(sK91(X0,X1,X2))
| sP44(X0,X1,X2) )
| ~ spl96_315 ),
inference(avatar_component_clause,[],[f3280]) ).
fof(f20796,plain,
( spl96_929
| ~ spl96_112
| ~ spl96_268 ),
inference(avatar_split_clause,[],[f2820,f2807,f1570,f20794]) ).
fof(f20794,plain,
( spl96_929
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_929])]) ).
fof(f1570,plain,
( spl96_112
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_112])]) ).
fof(f2807,plain,
( spl96_268
<=> ! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK67(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_268])]) ).
fof(f2820,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl96_112
| ~ spl96_268 ),
inference(resolution,[],[f2808,f1571]) ).
fof(f1571,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_112 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f2808,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| aElementOf0(sK67(X1),X1)
| ~ aSet0(X1)
| sP24(X1,X0) )
| ~ spl96_268 ),
inference(avatar_component_clause,[],[f2807]) ).
fof(f20792,plain,
( spl96_928
| ~ spl96_127
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2389,f2361,f1675,f20790]) ).
fof(f20790,plain,
( spl96_928
<=> ! [X0,X1] :
( sbrdtbr0(X1) = X0
| sP35(X0,sbrdtbr0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_928])]) ).
fof(f1675,plain,
( spl96_127
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_127])]) ).
fof(f2361,plain,
( spl96_218
<=> ! [X0,X1] :
( sP35(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_218])]) ).
fof(f2389,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = X0
| sP35(X0,sbrdtbr0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl96_127
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1676]) ).
fof(f1676,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_127 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f2362,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| sP35(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_218 ),
inference(avatar_component_clause,[],[f2361]) ).
fof(f20788,plain,
( spl96_927
| ~ spl96_120
| ~ spl96_190 ),
inference(avatar_split_clause,[],[f2195,f2143,f1645,f20786]) ).
fof(f20786,plain,
( spl96_927
<=> ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP24(sdtlpdtrp0(xN,X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_927])]) ).
fof(f1645,plain,
( spl96_120
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_120])]) ).
fof(f2143,plain,
( spl96_190
<=> ! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_190])]) ).
fof(f2195,plain,
( ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP24(sdtlpdtrp0(xN,X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_120
| ~ spl96_190 ),
inference(resolution,[],[f2144,f1646]) ).
fof(f1646,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_120 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f2144,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| sP24(X1,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_190 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f20784,plain,
( spl96_926
| ~ spl96_149
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2192,f2139,f1800,f20782]) ).
fof(f20782,plain,
( spl96_926
<=> ! [X0,X1] :
( sP15(sK87(X0),X1)
| ~ aSet0(X1)
| sP16(sK87(X0),X1)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_926])]) ).
fof(f1800,plain,
( spl96_149
<=> ! [X0] :
( aElementOf0(sK87(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_149])]) ).
fof(f2139,plain,
( spl96_189
<=> ! [X0,X1] :
( sP16(X0,X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_189])]) ).
fof(f2192,plain,
( ! [X0,X1] :
( sP15(sK87(X0),X1)
| ~ aSet0(X1)
| sP16(sK87(X0),X1)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_149
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1801]) ).
fof(f1801,plain,
( ! [X0] :
( aElementOf0(sK87(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_149 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f2140,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sP16(X0,X1) )
| ~ spl96_189 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f20780,plain,
( spl96_925
| ~ spl96_149
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2164,f2123,f1800,f20778]) ).
fof(f20778,plain,
( spl96_925
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,sK87(X0))) = sdtlpdtrp0(xe,sK87(X0))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_925])]) ).
fof(f2123,plain,
( spl96_185
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_185])]) ).
fof(f2164,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,sK87(X0))) = sdtlpdtrp0(xe,sK87(X0))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_149
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1801]) ).
fof(f2124,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
| ~ spl96_185 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f20776,plain,
( spl96_924
| ~ spl96_9
| ~ spl96_134
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2059,f1970,f1738,f1064,f20774]) ).
fof(f20774,plain,
( spl96_924
<=> ! [X0] :
( ~ sP26(X0,xO)
| sK68(X0,xO) = sdtlpdtrp0(xe,sK55(sK68(X0,xO))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_924])]) ).
fof(f1064,plain,
( spl96_9
<=> aSet0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_9])]) ).
fof(f1738,plain,
( spl96_134
<=> ! [X0] :
( sdtlpdtrp0(xe,sK55(X0)) = X0
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_134])]) ).
fof(f1970,plain,
( spl96_170
<=> ! [X0,X1] :
( aElementOf0(sK68(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_170])]) ).
fof(f2059,plain,
( ! [X0] :
( ~ aSet0(xO)
| ~ sP26(X0,xO)
| sK68(X0,xO) = sdtlpdtrp0(xe,sK55(sK68(X0,xO))) )
| ~ spl96_134
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1739]) ).
fof(f1739,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK55(X0)) = X0 )
| ~ spl96_134 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1971,plain,
( ! [X0,X1] :
( aElementOf0(sK68(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP26(X0,X1) )
| ~ spl96_170 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f20769,plain,
( spl96_922
| ~ spl96_33
| spl96_923
| ~ spl96_121
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1895,f1804,f1649,f20766,f1183,f20762]) ).
fof(f20762,plain,
( spl96_922
<=> aElementOf0(sK89(sdtlcdtrc0(xd,szNzAzT0)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_922])]) ).
fof(f1183,plain,
( spl96_33
<=> aSet0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_33])]) ).
fof(f20766,plain,
( spl96_923
<=> slcrc0 = sdtlcdtrc0(xd,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_923])]) ).
fof(f1649,plain,
( spl96_121
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_121])]) ).
fof(f1804,plain,
( spl96_150
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK89(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_150])]) ).
fof(f1895,plain,
( slcrc0 = sdtlcdtrc0(xd,szNzAzT0)
| ~ aSet0(sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK89(sdtlcdtrc0(xd,szNzAzT0)),xT)
| ~ spl96_121
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1650]) ).
fof(f1650,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) )
| ~ spl96_121 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1805,plain,
( ! [X0] :
( aElementOf0(sK89(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl96_150 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f20530,plain,
( spl96_921
| spl96_394
| ~ spl96_197
| ~ spl96_661 ),
inference(avatar_split_clause,[],[f16624,f9306,f2225,f5189,f20527]) ).
fof(f20527,plain,
( spl96_921
<=> sP41(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_921])]) ).
fof(f5189,plain,
( spl96_394
<=> sz00 = sK48 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_394])]) ).
fof(f2225,plain,
( spl96_197
<=> aElementOf0(sK48,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_197])]) ).
fof(f9306,plain,
( spl96_661
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP41(sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_661])]) ).
fof(f16624,plain,
( sz00 = sK48
| sP41(sK84(sK48))
| ~ spl96_197
| ~ spl96_661 ),
inference(resolution,[],[f9307,f2227]) ).
fof(f2227,plain,
( aElementOf0(sK48,szNzAzT0)
| ~ spl96_197 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f9307,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP41(sK84(X0)) )
| ~ spl96_661 ),
inference(avatar_component_clause,[],[f9306]) ).
fof(f20232,plain,
( ~ spl96_18
| spl96_920
| ~ spl96_26
| ~ spl96_403 ),
inference(avatar_split_clause,[],[f5466,f5263,f1149,f20230,f1109]) ).
fof(f1109,plain,
( spl96_18
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_18])]) ).
fof(f20230,plain,
( spl96_920
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK90(X1,X0,slcrc0)) = X1
| sP42(X1,X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_920])]) ).
fof(f1149,plain,
( spl96_26
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_26])]) ).
fof(f5263,plain,
( spl96_403
<=> ! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_403])]) ).
fof(f5466,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK90(X1,X0,slcrc0)) = X1
| sP42(X1,X0,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_403 ),
inference(resolution,[],[f5264,f1150]) ).
fof(f1150,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl96_26 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f5264,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK90(X0,X1,X2),X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
| sP42(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl96_403 ),
inference(avatar_component_clause,[],[f5263]) ).
fof(f20228,plain,
( spl96_394
| spl96_919
| ~ spl96_197
| ~ spl96_634 ),
inference(avatar_split_clause,[],[f16320,f8885,f2225,f20225,f5189]) ).
fof(f20225,plain,
( spl96_919
<=> sP35(sK48,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_919])]) ).
fof(f8885,plain,
( spl96_634
<=> ! [X0] :
( sz00 = X0
| sP35(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_634])]) ).
fof(f16320,plain,
( sP35(sK48,sz00)
| sz00 = sK48
| ~ spl96_197
| ~ spl96_634 ),
inference(resolution,[],[f8886,f2227]) ).
fof(f8886,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP35(X0,sz00)
| sz00 = X0 )
| ~ spl96_634 ),
inference(avatar_component_clause,[],[f8885]) ).
fof(f20223,plain,
( spl96_918
| ~ spl96_276
| ~ spl96_338 ),
inference(avatar_split_clause,[],[f3843,f3813,f2860,f20221]) ).
fof(f20221,plain,
( spl96_918
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP14(X2,X1)
| aElementOf0(X0,xS)
| ~ sP16(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_918])]) ).
fof(f2860,plain,
( spl96_276
<=> ! [X2,X0,X1] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_276])]) ).
fof(f3813,plain,
( spl96_338
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_338])]) ).
fof(f3843,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP14(X2,X1)
| aElementOf0(X0,xS)
| ~ sP16(X2,X1) )
| ~ spl96_276
| ~ spl96_338 ),
inference(resolution,[],[f3814,f2861]) ).
fof(f2861,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X2,xS)
| ~ sP16(X0,X1) )
| ~ spl96_276 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f3814,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP14(X0,X1) )
| ~ spl96_338 ),
inference(avatar_component_clause,[],[f3813]) ).
fof(f20219,plain,
( spl96_917
| ~ spl96_276
| ~ spl96_337 ),
inference(avatar_split_clause,[],[f3834,f3809,f2860,f20217]) ).
fof(f20217,plain,
( spl96_917
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP3(X2,X1)
| aElementOf0(X0,xS)
| ~ sP16(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_917])]) ).
fof(f3809,plain,
( spl96_337
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_337])]) ).
fof(f3834,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP3(X2,X1)
| aElementOf0(X0,xS)
| ~ sP16(X2,X1) )
| ~ spl96_276
| ~ spl96_337 ),
inference(resolution,[],[f3810,f2861]) ).
fof(f3810,plain,
( ! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP3(X0,X1) )
| ~ spl96_337 ),
inference(avatar_component_clause,[],[f3809]) ).
fof(f20215,plain,
( spl96_916
| ~ spl96_63
| ~ spl96_318 ),
inference(avatar_split_clause,[],[f3656,f3292,f1323,f20213]) ).
fof(f20213,plain,
( spl96_916
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,szNzAzT0))
| sP45(X0,X1,szNzAzT0)
| sP41(sK92(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_916])]) ).
fof(f1323,plain,
( spl96_63
<=> ! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_63])]) ).
fof(f3292,plain,
( spl96_318
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElement0(sK92(X0,X1,X2))
| aElementOf0(sK92(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_318])]) ).
fof(f3656,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,szNzAzT0))
| sP45(X0,X1,szNzAzT0)
| sP41(sK92(X0,X1,szNzAzT0)) )
| ~ spl96_63
| ~ spl96_318 ),
inference(resolution,[],[f3293,f1324]) ).
fof(f1324,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(X0) )
| ~ spl96_63 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f3293,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK92(X0,X1,X2),X2)
| aElement0(sK92(X0,X1,X2))
| sP45(X0,X1,X2) )
| ~ spl96_318 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f20211,plain,
( spl96_915
| ~ spl96_63
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3583,f3280,f1323,f20209]) ).
fof(f20209,plain,
( spl96_915
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,szNzAzT0))
| sP44(X0,X1,szNzAzT0)
| sP41(sK91(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_915])]) ).
fof(f3583,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,szNzAzT0))
| sP44(X0,X1,szNzAzT0)
| sP41(sK91(X0,X1,szNzAzT0)) )
| ~ spl96_63
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1324]) ).
fof(f20207,plain,
( spl96_914
| ~ spl96_106
| ~ spl96_314 ),
inference(avatar_split_clause,[],[f3564,f3276,f1543,f20205]) ).
fof(f20205,plain,
( spl96_914
<=> ! [X0,X1] :
( aElementOf0(sK85(X0,X1),szNzAzT0)
| sP40(X0,X1)
| ~ aSet0(X1)
| aElement0(sK85(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_914])]) ).
fof(f1543,plain,
( spl96_106
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_106])]) ).
fof(f3276,plain,
( spl96_314
<=> ! [X0,X1] :
( sP40(X0,X1)
| aElementOf0(sK85(X0,X1),szNzAzT0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_314])]) ).
fof(f3564,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),szNzAzT0)
| sP40(X0,X1)
| ~ aSet0(X1)
| aElement0(sK85(X0,X1)) )
| ~ spl96_106
| ~ spl96_314 ),
inference(duplicate_literal_removal,[],[f3503]) ).
fof(f3503,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),szNzAzT0)
| sP40(X0,X1)
| ~ aSet0(X1)
| aElement0(sK85(X0,X1))
| ~ aSet0(X1) )
| ~ spl96_106
| ~ spl96_314 ),
inference(resolution,[],[f3277,f1544]) ).
fof(f1544,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl96_106 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f3277,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),szNzAzT0)
| aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1) )
| ~ spl96_314 ),
inference(avatar_component_clause,[],[f3276]) ).
fof(f20203,plain,
( spl96_913
| ~ spl96_63
| ~ spl96_314 ),
inference(avatar_split_clause,[],[f3487,f3276,f1323,f20201]) ).
fof(f20201,plain,
( spl96_913
<=> ! [X0,X1] :
( aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1)
| sP41(sK85(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_913])]) ).
fof(f3487,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1)
| sP41(sK85(X0,X1)) )
| ~ spl96_63
| ~ spl96_314 ),
inference(resolution,[],[f3277,f1324]) ).
fof(f20199,plain,
( spl96_912
| ~ spl96_280
| ~ spl96_299 ),
inference(avatar_split_clause,[],[f3211,f2954,f2876,f20197]) ).
fof(f20197,plain,
( spl96_912
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP19(X1)
| aElementOf0(sK64(X1,sdtlpdtrp0(X1,X0)),szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_912])]) ).
fof(f2876,plain,
( spl96_280
<=> ! [X0,X1] :
( aElementOf0(sK64(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_280])]) ).
fof(f2954,plain,
( spl96_299
<=> ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_299])]) ).
fof(f3211,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP19(X1)
| aElementOf0(sK64(X1,sdtlpdtrp0(X1,X0)),szDzozmdt0(X1)) )
| ~ spl96_280
| ~ spl96_299 ),
inference(duplicate_literal_removal,[],[f3201]) ).
fof(f3201,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP19(X1)
| aElementOf0(sK64(X1,sdtlpdtrp0(X1,X0)),szDzozmdt0(X1))
| ~ sP19(X1) )
| ~ spl96_280
| ~ spl96_299 ),
inference(resolution,[],[f2955,f2877]) ).
fof(f2877,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElementOf0(sK64(X0,X1),szDzozmdt0(X0))
| ~ sP19(X0) )
| ~ spl96_280 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f2955,plain,
( ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) )
| ~ spl96_299 ),
inference(avatar_component_clause,[],[f2954]) ).
fof(f20195,plain,
( spl96_911
| ~ spl96_166
| ~ spl96_286 ),
inference(avatar_split_clause,[],[f3066,f2901,f1954,f20193]) ).
fof(f20193,plain,
( spl96_911
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP33(X0,X1)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_911])]) ).
fof(f1954,plain,
( spl96_166
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_166])]) ).
fof(f2901,plain,
( spl96_286
<=> ! [X4,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_286])]) ).
fof(f3066,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP33(X0,X1)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_286 ),
inference(resolution,[],[f2902,f1955]) ).
fof(f1955,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP8(X0) )
| ~ spl96_166 ),
inference(avatar_component_clause,[],[f1954]) ).
fof(f2902,plain,
( ! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ sP33(X0,X1) )
| ~ spl96_286 ),
inference(avatar_component_clause,[],[f2901]) ).
fof(f20191,plain,
( spl96_910
| ~ spl96_168
| ~ spl96_286 ),
inference(avatar_split_clause,[],[f3065,f2901,f1962,f20189]) ).
fof(f20189,plain,
( spl96_910
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP33(X0,X1)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_910])]) ).
fof(f1962,plain,
( spl96_168
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_168])]) ).
fof(f3065,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP33(X0,X1)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_286 ),
inference(resolution,[],[f2902,f1963]) ).
fof(f1963,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP10(X0) )
| ~ spl96_168 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f20187,plain,
( spl96_909
| ~ spl96_166
| ~ spl96_282 ),
inference(avatar_split_clause,[],[f3043,f2884,f1954,f20185]) ).
fof(f20185,plain,
( spl96_909
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP28(X0,X1)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_909])]) ).
fof(f2884,plain,
( spl96_282
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_282])]) ).
fof(f3043,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP28(X0,X1)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_282 ),
inference(resolution,[],[f2885,f1955]) ).
fof(f2885,plain,
( ! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ sP28(X0,X1) )
| ~ spl96_282 ),
inference(avatar_component_clause,[],[f2884]) ).
fof(f20183,plain,
( spl96_908
| ~ spl96_168
| ~ spl96_282 ),
inference(avatar_split_clause,[],[f3042,f2884,f1962,f20181]) ).
fof(f20181,plain,
( spl96_908
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP28(X0,X1)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_908])]) ).
fof(f3042,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP28(X0,X1)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_282 ),
inference(resolution,[],[f2885,f1963]) ).
fof(f20179,plain,
( spl96_907
| ~ spl96_166
| ~ spl96_281 ),
inference(avatar_split_clause,[],[f3032,f2880,f1954,f20177]) ).
fof(f20177,plain,
( spl96_907
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP29(X0,X1)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_907])]) ).
fof(f2880,plain,
( spl96_281
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_281])]) ).
fof(f3032,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP29(X0,X1)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_281 ),
inference(resolution,[],[f2881,f1955]) ).
fof(f2881,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ sP29(X0,X1) )
| ~ spl96_281 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f20175,plain,
( spl96_906
| ~ spl96_168
| ~ spl96_281 ),
inference(avatar_split_clause,[],[f3031,f2880,f1962,f20173]) ).
fof(f20173,plain,
( spl96_906
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP29(X0,X1)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_906])]) ).
fof(f3031,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP29(X0,X1)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_281 ),
inference(resolution,[],[f2881,f1963]) ).
fof(f20171,plain,
( spl96_905
| ~ spl96_166
| ~ spl96_277 ),
inference(avatar_split_clause,[],[f3004,f2864,f1954,f20169]) ).
fof(f20169,plain,
( spl96_905
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP15(X0,X1)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_905])]) ).
fof(f2864,plain,
( spl96_277
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_277])]) ).
fof(f3004,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP15(X0,X1)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_277 ),
inference(resolution,[],[f2865,f1955]) ).
fof(f2865,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ sP15(X0,X1) )
| ~ spl96_277 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f20167,plain,
( spl96_904
| ~ spl96_168
| ~ spl96_277 ),
inference(avatar_split_clause,[],[f3003,f2864,f1962,f20165]) ).
fof(f20165,plain,
( spl96_904
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP15(X0,X1)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_904])]) ).
fof(f3003,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP15(X0,X1)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_277 ),
inference(resolution,[],[f2865,f1963]) ).
fof(f20163,plain,
( spl96_903
| ~ spl96_166
| ~ spl96_275 ),
inference(avatar_split_clause,[],[f2987,f2856,f1954,f20161]) ).
fof(f20161,plain,
( spl96_903
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP16(X0,X1)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_903])]) ).
fof(f2856,plain,
( spl96_275
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_275])]) ).
fof(f2987,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP16(X0,X1)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_275 ),
inference(resolution,[],[f2857,f1955]) ).
fof(f2857,plain,
( ! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ sP16(X0,X1) )
| ~ spl96_275 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f20159,plain,
( spl96_902
| ~ spl96_168
| ~ spl96_275 ),
inference(avatar_split_clause,[],[f2986,f2856,f1962,f20157]) ).
fof(f20157,plain,
( spl96_902
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP16(X0,X1)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_902])]) ).
fof(f2986,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP16(X0,X1)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_275 ),
inference(resolution,[],[f2857,f1963]) ).
fof(f20155,plain,
( spl96_901
| ~ spl96_166
| ~ spl96_271 ),
inference(avatar_split_clause,[],[f2964,f2839,f1954,f20153]) ).
fof(f20153,plain,
( spl96_901
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP4(X0,X1)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_901])]) ).
fof(f2839,plain,
( spl96_271
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_271])]) ).
fof(f2964,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP4(X0,X1)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_271 ),
inference(resolution,[],[f2840,f1955]) ).
fof(f2840,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ sP4(X0,X1) )
| ~ spl96_271 ),
inference(avatar_component_clause,[],[f2839]) ).
fof(f20151,plain,
( spl96_900
| ~ spl96_168
| ~ spl96_271 ),
inference(avatar_split_clause,[],[f2963,f2839,f1962,f20149]) ).
fof(f20149,plain,
( spl96_900
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP4(X0,X1)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_900])]) ).
fof(f2963,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP4(X0,X1)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_271 ),
inference(resolution,[],[f2840,f1963]) ).
fof(f20147,plain,
( spl96_899
| ~ spl96_154
| ~ spl96_257 ),
inference(avatar_split_clause,[],[f2766,f2704,f1820,f20145]) ).
fof(f20145,plain,
( spl96_899
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK80(X1,X2,X0),X2)
| ~ sP39(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_899])]) ).
fof(f1820,plain,
( spl96_154
<=> ! [X0,X1] :
( sP38(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP39(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_154])]) ).
fof(f2704,plain,
( spl96_257
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK80(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_257])]) ).
fof(f2766,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK80(X1,X2,X0),X2)
| ~ sP39(X2,X1) )
| ~ spl96_154
| ~ spl96_257 ),
inference(resolution,[],[f2705,f1821]) ).
fof(f1821,plain,
( ! [X0,X1] :
( sP38(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP39(X0,X1) )
| ~ spl96_154 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f2705,plain,
( ! [X2,X0,X1,X6] :
( ~ sP38(X0,X1,X2)
| ~ aElementOf0(X6,X2)
| aElementOf0(sK80(X0,X1,X6),X1) )
| ~ spl96_257 ),
inference(avatar_component_clause,[],[f2704]) ).
fof(f20143,plain,
( spl96_898
| spl96_394
| ~ spl96_197
| ~ spl96_623 ),
inference(avatar_split_clause,[],[f16268,f8770,f2225,f5189,f20140]) ).
fof(f20140,plain,
( spl96_898
<=> sP11(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_898])]) ).
fof(f8770,plain,
( spl96_623
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_623])]) ).
fof(f16268,plain,
( sz00 = sK48
| sP11(sK84(sK48))
| ~ spl96_197
| ~ spl96_623 ),
inference(resolution,[],[f8771,f2227]) ).
fof(f8771,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP11(sK84(X0)) )
| ~ spl96_623 ),
inference(avatar_component_clause,[],[f8770]) ).
fof(f20138,plain,
( spl96_897
| ~ spl96_107
| ~ spl96_255 ),
inference(avatar_split_clause,[],[f2760,f2696,f1547,f20136]) ).
fof(f20136,plain,
( spl96_897
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| aSet0(X1)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_897])]) ).
fof(f1547,plain,
( spl96_107
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_107])]) ).
fof(f2696,plain,
( spl96_255
<=> ! [X0,X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_255])]) ).
fof(f2760,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| aSet0(X1)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ spl96_107
| ~ spl96_255 ),
inference(resolution,[],[f2697,f1548]) ).
fof(f1548,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl96_107 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f2697,plain,
( ! [X0,X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) )
| ~ spl96_255 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f20134,plain,
( spl96_896
| ~ spl96_183
| ~ spl96_240 ),
inference(avatar_split_clause,[],[f2597,f2487,f2025,f20132]) ).
fof(f20132,plain,
( spl96_896
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_896])]) ).
fof(f2025,plain,
( spl96_183
<=> ! [X0,X1] :
( sP44(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_183])]) ).
fof(f2487,plain,
( spl96_240
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP44(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_240])]) ).
fof(f2597,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl96_183
| ~ spl96_240 ),
inference(resolution,[],[f2488,f2026]) ).
fof(f2026,plain,
( ! [X0,X1] :
( sP44(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl96_183 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2488,plain,
( ! [X2,X0,X1,X4] :
( ~ sP44(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl96_240 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f20130,plain,
( spl96_895
| ~ spl96_150
| ~ spl96_233 ),
inference(avatar_split_clause,[],[f2545,f2459,f1804,f20128]) ).
fof(f20128,plain,
( spl96_895
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK89(X0)),sK89(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_895])]) ).
fof(f2459,plain,
( spl96_233
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_233])]) ).
fof(f2545,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK89(X0)),sK89(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl96_150
| ~ spl96_233 ),
inference(duplicate_literal_removal,[],[f2544]) ).
fof(f2544,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK89(X0)),sK89(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl96_150
| ~ spl96_233 ),
inference(resolution,[],[f2460,f1805]) ).
fof(f2460,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl96_233 ),
inference(avatar_component_clause,[],[f2459]) ).
fof(f20126,plain,
( spl96_894
| ~ spl96_112
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2326,f2281,f1570,f20124]) ).
fof(f20124,plain,
( spl96_894
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK84(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_894])]) ).
fof(f2281,plain,
( spl96_208
<=> ! [X0] :
( szszuzczcdt0(sK84(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_208])]) ).
fof(f2326,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK84(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_112
| ~ spl96_208 ),
inference(resolution,[],[f2282,f1571]) ).
fof(f2282,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK84(X0)) = X0 )
| ~ spl96_208 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f20122,plain,
( spl96_893
| ~ spl96_148
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2084,f2009,f1796,f20120]) ).
fof(f20120,plain,
( spl96_893
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_893])]) ).
fof(f1796,plain,
( spl96_148
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_148])]) ).
fof(f2009,plain,
( spl96_179
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_179])]) ).
fof(f2084,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl96_148
| ~ spl96_179 ),
inference(resolution,[],[f2010,f1797]) ).
fof(f1797,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_148 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f2010,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl96_179 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f20118,plain,
( spl96_892
| ~ spl96_84
| ~ spl96_174 ),
inference(avatar_split_clause,[],[f2063,f1989,f1421,f20116]) ).
fof(f20116,plain,
( spl96_892
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_892])]) ).
fof(f1421,plain,
( spl96_84
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_84])]) ).
fof(f1989,plain,
( spl96_174
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_174])]) ).
fof(f2063,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl96_84
| ~ spl96_174 ),
inference(resolution,[],[f1990,f1422]) ).
fof(f1422,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_84 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1990,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl96_174 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f20114,plain,
( spl96_891
| ~ spl96_84
| ~ spl96_173 ),
inference(avatar_split_clause,[],[f2062,f1982,f1421,f20112]) ).
fof(f20112,plain,
( spl96_891
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_891])]) ).
fof(f1982,plain,
( spl96_173
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_173])]) ).
fof(f2062,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl96_84
| ~ spl96_173 ),
inference(resolution,[],[f1983,f1422]) ).
fof(f1983,plain,
( ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl96_173 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f19540,plain,
( spl96_890
| ~ spl96_44
| ~ spl96_367 ),
inference(avatar_split_clause,[],[f4522,f4399,f1231,f19538]) ).
fof(f19538,plain,
( spl96_890
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),xS)
| aElementOf0(sK76(X0,sz00),xS)
| ~ sP35(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_890])]) ).
fof(f1231,plain,
( spl96_44
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_44])]) ).
fof(f4399,plain,
( spl96_367
<=> ! [X0,X1] :
( aElementOf0(sK76(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_367])]) ).
fof(f4522,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),xS)
| aElementOf0(sK76(X0,sz00),xS)
| ~ sP35(X0,sz00) )
| ~ spl96_44
| ~ spl96_367 ),
inference(superposition,[],[f4400,f1233]) ).
fof(f1233,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl96_44 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f4400,plain,
( ! [X0,X1] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| aElementOf0(sK76(X0,X1),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) )
| ~ spl96_367 ),
inference(avatar_component_clause,[],[f4399]) ).
fof(f19536,plain,
( spl96_888
| spl96_889
| ~ spl96_197
| ~ spl96_758 ),
inference(avatar_split_clause,[],[f11319,f11299,f2225,f19533,f19529]) ).
fof(f19529,plain,
( spl96_888
<=> sdtlseqdt0(sK48,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_888])]) ).
fof(f19533,plain,
( spl96_889
<=> sdtlseqdt0(xK,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_889])]) ).
fof(f11299,plain,
( spl96_758
<=> ! [X0] :
( sdtlseqdt0(xK,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_758])]) ).
fof(f11319,plain,
( sdtlseqdt0(xK,sK48)
| sdtlseqdt0(sK48,xk)
| ~ spl96_197
| ~ spl96_758 ),
inference(resolution,[],[f11300,f2227]) ).
fof(f11300,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk) )
| ~ spl96_758 ),
inference(avatar_component_clause,[],[f11299]) ).
fof(f19527,plain,
( spl96_887
| ~ spl96_44
| ~ spl96_338 ),
inference(avatar_split_clause,[],[f3850,f3813,f1231,f19525]) ).
fof(f19525,plain,
( spl96_887
<=> ! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP14(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_887])]) ).
fof(f3850,plain,
( ! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP14(sz00,X1) )
| ~ spl96_44
| ~ spl96_338 ),
inference(superposition,[],[f3814,f1233]) ).
fof(f19523,plain,
( spl96_886
| ~ spl96_44
| ~ spl96_337 ),
inference(avatar_split_clause,[],[f3841,f3809,f1231,f19521]) ).
fof(f19521,plain,
( spl96_886
<=> ! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP3(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_886])]) ).
fof(f3841,plain,
( ! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP3(sz00,X1) )
| ~ spl96_44
| ~ spl96_337 ),
inference(superposition,[],[f3810,f1233]) ).
fof(f19511,plain,
( ~ spl96_25
| spl96_885
| ~ spl96_44
| ~ spl96_336 ),
inference(avatar_split_clause,[],[f3807,f3786,f1231,f19509,f1144]) ).
fof(f1144,plain,
( spl96_25
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_25])]) ).
fof(f3786,plain,
( spl96_336
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_336])]) ).
fof(f3807,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_44
| ~ spl96_336 ),
inference(superposition,[],[f3787,f1233]) ).
fof(f3787,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_336 ),
inference(avatar_component_clause,[],[f3786]) ).
fof(f19500,plain,
( ~ spl96_25
| spl96_884
| ~ spl96_44
| ~ spl96_336 ),
inference(avatar_split_clause,[],[f3806,f3786,f1231,f19498,f1144]) ).
fof(f19498,plain,
( spl96_884
<=> ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_884])]) ).
fof(f3806,plain,
( ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl96_44
| ~ spl96_336 ),
inference(superposition,[],[f3787,f1233]) ).
fof(f19462,plain,
( ~ spl96_23
| spl96_883
| ~ spl96_31
| ~ spl96_322 ),
inference(avatar_split_clause,[],[f3733,f3308,f1173,f19460,f1134]) ).
fof(f1134,plain,
( spl96_23
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_23])]) ).
fof(f19460,plain,
( spl96_883
<=> ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_883])]) ).
fof(f1173,plain,
( spl96_31
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_31])]) ).
fof(f3308,plain,
( spl96_322
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_322])]) ).
fof(f3733,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_31
| ~ spl96_322 ),
inference(superposition,[],[f3309,f1175]) ).
fof(f1175,plain,
( xK = szszuzczcdt0(xk)
| ~ spl96_31 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f3309,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_322 ),
inference(avatar_component_clause,[],[f3308]) ).
fof(f19458,plain,
( spl96_882
| ~ spl96_49
| ~ spl96_318 ),
inference(avatar_split_clause,[],[f3698,f3292,f1255,f19456]) ).
fof(f19456,plain,
( spl96_882
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,xO))
| sP45(X0,X1,xO)
| sP34(sK92(X0,X1,xO)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_882])]) ).
fof(f1255,plain,
( spl96_49
<=> ! [X0] :
( sP34(X0)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_49])]) ).
fof(f3698,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,xO))
| sP45(X0,X1,xO)
| sP34(sK92(X0,X1,xO)) )
| ~ spl96_49
| ~ spl96_318 ),
inference(resolution,[],[f3293,f1256]) ).
fof(f1256,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| sP34(X0) )
| ~ spl96_49 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f19454,plain,
( spl96_881
| ~ spl96_48
| ~ spl96_318 ),
inference(avatar_split_clause,[],[f3655,f3292,f1251,f19452]) ).
fof(f19452,plain,
( spl96_881
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,szNzAzT0))
| sP45(X0,X1,szNzAzT0)
| sP11(sK92(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_881])]) ).
fof(f1251,plain,
( spl96_48
<=> ! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_48])]) ).
fof(f3655,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,szNzAzT0))
| sP45(X0,X1,szNzAzT0)
| sP11(sK92(X0,X1,szNzAzT0)) )
| ~ spl96_48
| ~ spl96_318 ),
inference(resolution,[],[f3293,f1252]) ).
fof(f1252,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(X0) )
| ~ spl96_48 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f19450,plain,
( spl96_880
| ~ spl96_43
| ~ spl96_318 ),
inference(avatar_split_clause,[],[f3654,f3292,f1227,f19448]) ).
fof(f19448,plain,
( spl96_880
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,szNzAzT0))
| sP45(X0,X1,szNzAzT0)
| sP8(sK92(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_880])]) ).
fof(f1227,plain,
( spl96_43
<=> ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_43])]) ).
fof(f3654,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,szNzAzT0))
| sP45(X0,X1,szNzAzT0)
| sP8(sK92(X0,X1,szNzAzT0)) )
| ~ spl96_43
| ~ spl96_318 ),
inference(resolution,[],[f3293,f1228]) ).
fof(f1228,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(X0) )
| ~ spl96_43 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f19446,plain,
( spl96_879
| ~ spl96_49
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3625,f3280,f1255,f19444]) ).
fof(f19444,plain,
( spl96_879
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,xO))
| sP44(X0,X1,xO)
| sP34(sK91(X0,X1,xO)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_879])]) ).
fof(f3625,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,xO))
| sP44(X0,X1,xO)
| sP34(sK91(X0,X1,xO)) )
| ~ spl96_49
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1256]) ).
fof(f19442,plain,
( spl96_878
| ~ spl96_48
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3582,f3280,f1251,f19440]) ).
fof(f19440,plain,
( spl96_878
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,szNzAzT0))
| sP44(X0,X1,szNzAzT0)
| sP11(sK91(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_878])]) ).
fof(f3582,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,szNzAzT0))
| sP44(X0,X1,szNzAzT0)
| sP11(sK91(X0,X1,szNzAzT0)) )
| ~ spl96_48
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1252]) ).
fof(f19438,plain,
( spl96_877
| ~ spl96_43
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3581,f3280,f1227,f19436]) ).
fof(f19436,plain,
( spl96_877
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,szNzAzT0))
| sP44(X0,X1,szNzAzT0)
| sP8(sK91(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_877])]) ).
fof(f3581,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,szNzAzT0))
| sP44(X0,X1,szNzAzT0)
| sP8(sK91(X0,X1,szNzAzT0)) )
| ~ spl96_43
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1228]) ).
fof(f19434,plain,
( spl96_876
| ~ spl96_48
| ~ spl96_314 ),
inference(avatar_split_clause,[],[f3486,f3276,f1251,f19432]) ).
fof(f19432,plain,
( spl96_876
<=> ! [X0,X1] :
( aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1)
| sP11(sK85(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_876])]) ).
fof(f3486,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1)
| sP11(sK85(X0,X1)) )
| ~ spl96_48
| ~ spl96_314 ),
inference(resolution,[],[f3277,f1252]) ).
fof(f19430,plain,
( spl96_875
| ~ spl96_43
| ~ spl96_314 ),
inference(avatar_split_clause,[],[f3485,f3276,f1227,f19428]) ).
fof(f19428,plain,
( spl96_875
<=> ! [X0,X1] :
( aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1)
| sP8(sK85(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_875])]) ).
fof(f3485,plain,
( ! [X0,X1] :
( aElementOf0(sK85(X0,X1),X1)
| sP40(X0,X1)
| ~ aSet0(X1)
| sP8(sK85(X0,X1)) )
| ~ spl96_43
| ~ spl96_314 ),
inference(resolution,[],[f3277,f1228]) ).
fof(f19426,plain,
( spl96_874
| ~ spl96_160
| ~ spl96_286 ),
inference(avatar_split_clause,[],[f3069,f2901,f1914,f19424]) ).
fof(f19424,plain,
( spl96_874
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP33(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_874])]) ).
fof(f1914,plain,
( spl96_160
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_160])]) ).
fof(f3069,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP33(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_286 ),
inference(resolution,[],[f2902,f1915]) ).
fof(f1915,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f19422,plain,
( spl96_873
| ~ spl96_160
| ~ spl96_282 ),
inference(avatar_split_clause,[],[f3046,f2884,f1914,f19420]) ).
fof(f19420,plain,
( spl96_873
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP28(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_873])]) ).
fof(f3046,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP28(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_282 ),
inference(resolution,[],[f2885,f1915]) ).
fof(f19418,plain,
( spl96_872
| ~ spl96_160
| ~ spl96_281 ),
inference(avatar_split_clause,[],[f3035,f2880,f1914,f19416]) ).
fof(f19416,plain,
( spl96_872
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_872])]) ).
fof(f3035,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_281 ),
inference(resolution,[],[f2881,f1915]) ).
fof(f19414,plain,
( spl96_871
| ~ spl96_160
| ~ spl96_277 ),
inference(avatar_split_clause,[],[f3007,f2864,f1914,f19412]) ).
fof(f19412,plain,
( spl96_871
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP15(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_871])]) ).
fof(f3007,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP15(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_277 ),
inference(resolution,[],[f2865,f1915]) ).
fof(f19410,plain,
( spl96_870
| ~ spl96_160
| ~ spl96_275 ),
inference(avatar_split_clause,[],[f2990,f2856,f1914,f19408]) ).
fof(f19408,plain,
( spl96_870
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP16(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_870])]) ).
fof(f2990,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP16(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_275 ),
inference(resolution,[],[f2857,f1915]) ).
fof(f19406,plain,
( spl96_869
| ~ spl96_160
| ~ spl96_271 ),
inference(avatar_split_clause,[],[f2967,f2839,f1914,f19404]) ).
fof(f19404,plain,
( spl96_869
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP4(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_869])]) ).
fof(f2967,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xe,X0))
| ~ sP4(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_271 ),
inference(resolution,[],[f2840,f1915]) ).
fof(f19402,plain,
( spl96_868
| ~ spl96_77
| ~ spl96_268 ),
inference(avatar_split_clause,[],[f2829,f2807,f1392,f19400]) ).
fof(f19400,plain,
( spl96_868
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sK75(X1))
| ~ sP34(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_868])]) ).
fof(f1392,plain,
( spl96_77
<=> ! [X0] :
( aElementOf0(sK75(X0),szNzAzT0)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_77])]) ).
fof(f2829,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sK75(X1))
| ~ sP34(X1) )
| ~ spl96_77
| ~ spl96_268 ),
inference(resolution,[],[f2808,f1393]) ).
fof(f1393,plain,
( ! [X0] :
( aElementOf0(sK75(X0),szNzAzT0)
| ~ sP34(X0) )
| ~ spl96_77 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f19346,plain,
( ~ spl96_11
| spl96_867
| ~ spl96_97
| ~ spl96_233 ),
inference(avatar_split_clause,[],[f2539,f2459,f1502,f19344,f1074]) ).
fof(f1074,plain,
( spl96_11
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_11])]) ).
fof(f19344,plain,
( spl96_867
<=> ! [X0] :
( xT = sdtpldt0(sdtmndt0(xT,sK74(X0)),sK74(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_867])]) ).
fof(f1502,plain,
( spl96_97
<=> ! [X0] :
( aElementOf0(sK74(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_97])]) ).
fof(f2539,plain,
( ! [X0] :
( xT = sdtpldt0(sdtmndt0(xT,sK74(X0)),sK74(X0))
| ~ aSet0(xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_97
| ~ spl96_233 ),
inference(resolution,[],[f2460,f1503]) ).
fof(f1503,plain,
( ! [X0] :
( aElementOf0(sK74(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_97 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f19290,plain,
( ~ spl96_11
| spl96_866
| ~ spl96_94
| ~ spl96_233 ),
inference(avatar_split_clause,[],[f2538,f2459,f1489,f19288,f1074]) ).
fof(f19288,plain,
( spl96_866
<=> ! [X0] :
( xT = sdtpldt0(sdtmndt0(xT,sK71(X0)),sK71(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_866])]) ).
fof(f1489,plain,
( spl96_94
<=> ! [X0] :
( aElementOf0(sK71(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_94])]) ).
fof(f2538,plain,
( ! [X0] :
( xT = sdtpldt0(sdtmndt0(xT,sK71(X0)),sK71(X0))
| ~ aSet0(xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_94
| ~ spl96_233 ),
inference(resolution,[],[f2460,f1490]) ).
fof(f1490,plain,
( ! [X0] :
( aElementOf0(sK71(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_94 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f19286,plain,
( spl96_865
| ~ spl96_215
| ~ spl96_219 ),
inference(avatar_split_clause,[],[f2400,f2365,f2349,f19284]) ).
fof(f19284,plain,
( spl96_865
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,sK49(sdtlpdtrp0(xc,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_865])]) ).
fof(f2349,plain,
( spl96_215
<=> ! [X1] :
( sdtlpdtrp0(xc,sK49(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_215])]) ).
fof(f2365,plain,
( spl96_219
<=> ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_219])]) ).
fof(f2400,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,sK49(sdtlpdtrp0(xc,X0))) )
| ~ spl96_215
| ~ spl96_219 ),
inference(resolution,[],[f2366,f2350]) ).
fof(f2350,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,sK49(X1)) = X1 )
| ~ spl96_215 ),
inference(avatar_component_clause,[],[f2349]) ).
fof(f2366,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) )
| ~ spl96_219 ),
inference(avatar_component_clause,[],[f2365]) ).
fof(f19282,plain,
( spl96_864
| ~ spl96_112
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2388,f2361,f1570,f19280]) ).
fof(f19280,plain,
( spl96_864
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| sP35(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_864])]) ).
fof(f2388,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| sP35(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl96_112
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1571]) ).
fof(f19278,plain,
( spl96_863
| ~ spl96_127
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2184,f2139,f1675,f19276]) ).
fof(f19276,plain,
( spl96_863
<=> ! [X0,X1] :
( sP15(sbrdtbr0(X0),X1)
| ~ aSet0(X1)
| sP16(sbrdtbr0(X0),X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_863])]) ).
fof(f2184,plain,
( ! [X0,X1] :
( sP15(sbrdtbr0(X0),X1)
| ~ aSet0(X1)
| sP16(sbrdtbr0(X0),X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_127
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1676]) ).
fof(f19274,plain,
( spl96_861
| spl96_862
| ~ spl96_197
| ~ spl96_637 ),
inference(avatar_split_clause,[],[f9197,f8897,f2225,f19271,f19267]) ).
fof(f19267,plain,
( spl96_861
<=> xi = sK48 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_861])]) ).
fof(f19271,plain,
( spl96_862
<=> sP35(sK48,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_862])]) ).
fof(f8897,plain,
( spl96_637
<=> ! [X0] :
( xi = X0
| sP35(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_637])]) ).
fof(f9197,plain,
( sP35(sK48,xi)
| xi = sK48
| ~ spl96_197
| ~ spl96_637 ),
inference(resolution,[],[f8898,f2227]) ).
fof(f8898,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP35(X0,xi)
| xi = X0 )
| ~ spl96_637 ),
inference(avatar_component_clause,[],[f8897]) ).
fof(f19265,plain,
( spl96_860
| ~ spl96_127
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2156,f2123,f1675,f19263]) ).
fof(f19263,plain,
( spl96_860
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(X0))) = sdtlpdtrp0(xe,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_860])]) ).
fof(f2156,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(X0))) = sdtlpdtrp0(xe,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_127
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1676]) ).
fof(f18961,plain,
( ~ spl96_18
| spl96_859
| ~ spl96_26
| ~ spl96_387 ),
inference(avatar_split_clause,[],[f5086,f4954,f1149,f18959,f1109]) ).
fof(f18959,plain,
( spl96_859
<=> ! [X0,X1] :
( sbrdtbr0(sK95(X0,X1,slcrc0)) = X0
| sP46(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_859])]) ).
fof(f4954,plain,
( spl96_387
<=> ! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) = X0
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_387])]) ).
fof(f5086,plain,
( ! [X0,X1] :
( sbrdtbr0(sK95(X0,X1,slcrc0)) = X0
| sP46(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_387 ),
inference(resolution,[],[f4955,f1150]) ).
fof(f4955,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK95(X0,X1,X2),X2)
| sbrdtbr0(sK95(X0,X1,X2)) = X0
| sP46(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl96_387 ),
inference(avatar_component_clause,[],[f4954]) ).
fof(f18957,plain,
( spl96_858
| ~ spl96_330
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4485,f4387,f3340,f18955]) ).
fof(f18955,plain,
( spl96_858
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_858])]) ).
fof(f3340,plain,
( spl96_330
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_330])]) ).
fof(f4387,plain,
( spl96_364
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_364])]) ).
fof(f4485,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP31(X0) )
| ~ spl96_330
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3341]) ).
fof(f3341,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) )
| ~ spl96_330 ),
inference(avatar_component_clause,[],[f3340]) ).
fof(f4388,plain,
( ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) )
| ~ spl96_364 ),
inference(avatar_component_clause,[],[f4387]) ).
fof(f18953,plain,
( spl96_857
| ~ spl96_329
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4484,f4387,f3336,f18951]) ).
fof(f18951,plain,
( spl96_857
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_857])]) ).
fof(f3336,plain,
( spl96_329
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_329])]) ).
fof(f4484,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP25(X0) )
| ~ spl96_329
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3337]) ).
fof(f3337,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) )
| ~ spl96_329 ),
inference(avatar_component_clause,[],[f3336]) ).
fof(f18949,plain,
( spl96_856
| ~ spl96_474
| ~ spl96_793
| ~ spl96_850 ),
inference(avatar_split_clause,[],[f18895,f18862,f15575,f6842,f18946]) ).
fof(f18946,plain,
( spl96_856
<=> szszuzczcdt0(sz00) = szszuzczcdt0(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_856])]) ).
fof(f6842,plain,
( spl96_474
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_474])]) ).
fof(f15575,plain,
( spl96_793
<=> ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sK48)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_793])]) ).
fof(f18862,plain,
( spl96_850
<=> ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_850])]) ).
fof(f18895,plain,
( szszuzczcdt0(sz00) = szszuzczcdt0(sK48)
| ~ spl96_474
| ~ spl96_793
| ~ spl96_850 ),
inference(forward_demodulation,[],[f18865,f15578]) ).
fof(f15578,plain,
( szszuzczcdt0(sK48) = sbrdtbr0(sdtpldt0(slcrc0,sz00))
| ~ spl96_474
| ~ spl96_793 ),
inference(resolution,[],[f15576,f6844]) ).
fof(f6844,plain,
( aElement0(sz00)
| ~ spl96_474 ),
inference(avatar_component_clause,[],[f6842]) ).
fof(f15576,plain,
( ! [X0] :
( ~ aElement0(X0)
| sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sK48) )
| ~ spl96_793 ),
inference(avatar_component_clause,[],[f15575]) ).
fof(f18865,plain,
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,sz00))
| ~ spl96_474
| ~ spl96_850 ),
inference(resolution,[],[f18863,f6844]) ).
fof(f18863,plain,
( ! [X0] :
( ~ aElement0(X0)
| szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0)) )
| ~ spl96_850 ),
inference(avatar_component_clause,[],[f18862]) ).
fof(f18944,plain,
( spl96_855
| ~ spl96_328
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4483,f4387,f3332,f18942]) ).
fof(f18942,plain,
( spl96_855
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_855])]) ).
fof(f3332,plain,
( spl96_328
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_328])]) ).
fof(f4483,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP27(X0) )
| ~ spl96_328
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3333]) ).
fof(f3333,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) )
| ~ spl96_328 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f18940,plain,
( spl96_854
| ~ spl96_327
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4482,f4387,f3328,f18938]) ).
fof(f18938,plain,
( spl96_854
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_854])]) ).
fof(f3328,plain,
( spl96_327
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_327])]) ).
fof(f4482,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP12(X0) )
| ~ spl96_327
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3329]) ).
fof(f3329,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) )
| ~ spl96_327 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f18936,plain,
( spl96_853
| ~ spl96_326
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4481,f4387,f3324,f18934]) ).
fof(f18934,plain,
( spl96_853
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_853])]) ).
fof(f3324,plain,
( spl96_326
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_326])]) ).
fof(f4481,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP9(X0) )
| ~ spl96_326
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3325]) ).
fof(f3325,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) )
| ~ spl96_326 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f18932,plain,
( spl96_852
| ~ spl96_325
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4480,f4387,f3320,f18930]) ).
fof(f18930,plain,
( spl96_852
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_852])]) ).
fof(f3320,plain,
( spl96_325
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_325])]) ).
fof(f4480,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP1(X0) )
| ~ spl96_325
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3321]) ).
fof(f3321,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) )
| ~ spl96_325 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f18928,plain,
( spl96_851
| ~ spl96_324
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4479,f4387,f3316,f18926]) ).
fof(f18926,plain,
( spl96_851
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_851])]) ).
fof(f3316,plain,
( spl96_324
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_324])]) ).
fof(f4479,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0)
| ~ sP5(X0) )
| ~ spl96_324
| ~ spl96_364 ),
inference(resolution,[],[f4388,f3317]) ).
fof(f3317,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) )
| ~ spl96_324 ),
inference(avatar_component_clause,[],[f3316]) ).
fof(f18864,plain,
( ~ spl96_18
| ~ spl96_15
| spl96_850
| ~ spl96_26
| ~ spl96_87
| ~ spl96_358 ),
inference(avatar_split_clause,[],[f4342,f4119,f1433,f1149,f18862,f1094,f1109]) ).
fof(f1094,plain,
( spl96_15
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_15])]) ).
fof(f1433,plain,
( spl96_87
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_87])]) ).
fof(f4119,plain,
( spl96_358
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_358])]) ).
fof(f4342,plain,
( ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_87
| ~ spl96_358 ),
inference(forward_demodulation,[],[f4260,f1435]) ).
fof(f1435,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl96_87 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f4260,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sbrdtbr0(slcrc0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_358 ),
inference(resolution,[],[f4120,f1150]) ).
fof(f4120,plain,
( ! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_358 ),
inference(avatar_component_clause,[],[f4119]) ).
fof(f18860,plain,
( spl96_849
| ~ spl96_137
| ~ spl96_307 ),
inference(avatar_split_clause,[],[f3419,f3247,f1752,f18858]) ).
fof(f18858,plain,
( spl96_849
<=> ! [X0] :
( sK63(X0) = sdtlpdtrp0(X0,sK64(X0,sK63(X0)))
| ~ sP19(X0)
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_849])]) ).
fof(f1752,plain,
( spl96_137
<=> ! [X0] :
( aElementOf0(sK63(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_137])]) ).
fof(f3247,plain,
( spl96_307
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK64(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_307])]) ).
fof(f3419,plain,
( ! [X0] :
( sK63(X0) = sdtlpdtrp0(X0,sK64(X0,sK63(X0)))
| ~ sP19(X0)
| ~ sP20(X0) )
| ~ spl96_137
| ~ spl96_307 ),
inference(resolution,[],[f3248,f1753]) ).
fof(f1753,plain,
( ! [X0] :
( aElementOf0(sK63(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP20(X0) )
| ~ spl96_137 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f3248,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,sK64(X0,X1)) = X1
| ~ sP19(X0) )
| ~ spl96_307 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f18856,plain,
( spl96_848
| ~ spl96_87
| ~ spl96_298 ),
inference(avatar_split_clause,[],[f3197,f2950,f1433,f18854]) ).
fof(f18854,plain,
( spl96_848
<=> ! [X2,X0,X1] :
( ~ sP21(X0,X1,sz00,X2)
| ~ aSubsetOf0(slcrc0,X2)
| sdtlpdtrp0(X1,slcrc0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_848])]) ).
fof(f2950,plain,
( spl96_298
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_298])]) ).
fof(f3197,plain,
( ! [X2,X0,X1] :
( ~ sP21(X0,X1,sz00,X2)
| ~ aSubsetOf0(slcrc0,X2)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl96_87
| ~ spl96_298 ),
inference(superposition,[],[f2951,f1435]) ).
fof(f2951,plain,
( ! [X3,X0,X1,X4] :
( ~ sP21(X0,X1,sbrdtbr0(X4),X3)
| ~ aSubsetOf0(X4,X3)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl96_298 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f18849,plain,
( ~ spl96_25
| spl96_847
| ~ spl96_40
| ~ spl96_297 ),
inference(avatar_split_clause,[],[f3193,f2946,f1212,f18847,f1144]) ).
fof(f18847,plain,
( spl96_847
<=> ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_847])]) ).
fof(f1212,plain,
( spl96_40
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_40])]) ).
fof(f2946,plain,
( spl96_297
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_297])]) ).
fof(f3193,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_40
| ~ spl96_297 ),
inference(superposition,[],[f2947,f1214]) ).
fof(f1214,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl96_40 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f2947,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_297 ),
inference(avatar_component_clause,[],[f2946]) ).
fof(f18839,plain,
( ~ spl96_25
| spl96_846
| ~ spl96_40
| ~ spl96_295 ),
inference(avatar_split_clause,[],[f3188,f2937,f1212,f18837,f1144]) ).
fof(f18837,plain,
( spl96_846
<=> ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_846])]) ).
fof(f2937,plain,
( spl96_295
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_295])]) ).
fof(f3188,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_40
| ~ spl96_295 ),
inference(superposition,[],[f2938,f1214]) ).
fof(f2938,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_295 ),
inference(avatar_component_clause,[],[f2937]) ).
fof(f18829,plain,
( ~ spl96_25
| spl96_845
| ~ spl96_40
| ~ spl96_295 ),
inference(avatar_split_clause,[],[f3187,f2937,f1212,f18827,f1144]) ).
fof(f18827,plain,
( spl96_845
<=> ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_845])]) ).
fof(f3187,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl96_40
| ~ spl96_295 ),
inference(superposition,[],[f2938,f1214]) ).
fof(f18825,plain,
( spl96_844
| ~ spl96_106
| ~ spl96_243 ),
inference(avatar_split_clause,[],[f2602,f2499,f1543,f18823]) ).
fof(f18823,plain,
( spl96_844
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_844])]) ).
fof(f2499,plain,
( spl96_243
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_243])]) ).
fof(f2602,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) )
| ~ spl96_106
| ~ spl96_243 ),
inference(resolution,[],[f2500,f1544]) ).
fof(f2500,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_243 ),
inference(avatar_component_clause,[],[f2499]) ).
fof(f18821,plain,
( spl96_843
| ~ spl96_154
| ~ spl96_242 ),
inference(avatar_split_clause,[],[f2600,f2495,f1820,f18819]) ).
fof(f18819,plain,
( spl96_843
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP39(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_843])]) ).
fof(f2495,plain,
( spl96_242
<=> ! [X0,X7,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_242])]) ).
fof(f2600,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP39(X1,X2) )
| ~ spl96_154
| ~ spl96_242 ),
inference(resolution,[],[f2496,f1821]) ).
fof(f2496,plain,
( ! [X2,X0,X1,X7] :
( ~ sP38(X0,X1,X2)
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),X2) )
| ~ spl96_242 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f18817,plain,
( spl96_842
| ~ spl96_155
| ~ spl96_239 ),
inference(avatar_split_clause,[],[f2596,f2483,f1824,f18815]) ).
fof(f18815,plain,
( spl96_842
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP43(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_842])]) ).
fof(f1824,plain,
( spl96_155
<=> ! [X0,X1] :
( sP42(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP43(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_155])]) ).
fof(f2483,plain,
( spl96_239
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_239])]) ).
fof(f2596,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP43(X1,X2) )
| ~ spl96_155
| ~ spl96_239 ),
inference(resolution,[],[f2484,f1825]) ).
fof(f1825,plain,
( ! [X0,X1] :
( sP42(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP43(X0,X1) )
| ~ spl96_155 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f2484,plain,
( ! [X2,X0,X1,X4] :
( ~ sP42(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl96_239 ),
inference(avatar_component_clause,[],[f2483]) ).
fof(f18813,plain,
( spl96_841
| ~ spl96_157
| ~ spl96_212 ),
inference(avatar_split_clause,[],[f2346,f2297,f1835,f18811]) ).
fof(f18811,plain,
( spl96_841
<=> ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP47(X1,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_841])]) ).
fof(f1835,plain,
( spl96_157
<=> ! [X0,X1] :
( sP46(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP47(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_157])]) ).
fof(f2297,plain,
( spl96_212
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP46(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_212])]) ).
fof(f2346,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP47(X1,sbrdtbr0(X0)) )
| ~ spl96_157
| ~ spl96_212 ),
inference(resolution,[],[f2298,f1836]) ).
fof(f1836,plain,
( ! [X0,X1] :
( sP46(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP47(X0,X1) )
| ~ spl96_157 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f2298,plain,
( ! [X2,X1,X4] :
( ~ sP46(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl96_212 ),
inference(avatar_component_clause,[],[f2297]) ).
fof(f18809,plain,
( spl96_840
| ~ spl96_77
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2334,f2281,f1392,f18807]) ).
fof(f18807,plain,
( spl96_840
<=> ! [X0] :
( sz00 = sK75(X0)
| sK75(X0) = szszuzczcdt0(sK84(sK75(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_840])]) ).
fof(f2334,plain,
( ! [X0] :
( sz00 = sK75(X0)
| sK75(X0) = szszuzczcdt0(sK84(sK75(X0)))
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_208 ),
inference(resolution,[],[f2282,f1393]) ).
fof(f18805,plain,
( spl96_839
| ~ spl96_128
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2076,f1997,f1679,f18803]) ).
fof(f18803,plain,
( spl96_839
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK84(X0) = sbrdtbr0(slbdtrb0(sK84(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_839])]) ).
fof(f1679,plain,
( spl96_128
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_128])]) ).
fof(f1997,plain,
( spl96_176
<=> ! [X0] :
( aElementOf0(sK84(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_176])]) ).
fof(f2076,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK84(X0) = sbrdtbr0(slbdtrb0(sK84(X0))) )
| ~ spl96_128
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1680]) ).
fof(f1680,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl96_128 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f1998,plain,
( ! [X0] :
( aElementOf0(sK84(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_176 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f18677,plain,
( ~ spl96_837
| spl96_838
| ~ spl96_44
| ~ spl96_388 ),
inference(avatar_split_clause,[],[f5166,f4958,f1231,f18675,f18671]) ).
fof(f18671,plain,
( spl96_837
<=> aElement0(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_837])]) ).
fof(f18675,plain,
( spl96_838
<=> ! [X0] :
( aElementOf0(szmzizndt0(xS),sdtpldt0(X0,szmzizndt0(xS)))
| ~ sP3(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_838])]) ).
fof(f4958,plain,
( spl96_388
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_388])]) ).
fof(f5166,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(xS),sdtpldt0(X0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS))
| ~ sP3(sz00,X0) )
| ~ spl96_44
| ~ spl96_388 ),
inference(superposition,[],[f4959,f1233]) ).
fof(f4959,plain,
( ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP3(X0,X1) )
| ~ spl96_388 ),
inference(avatar_component_clause,[],[f4958]) ).
fof(f18669,plain,
( spl96_836
| ~ spl96_44
| ~ spl96_352 ),
inference(avatar_split_clause,[],[f4211,f4095,f1231,f18667]) ).
fof(f18667,plain,
( spl96_836
<=> ! [X0] :
( ~ aElementOf0(sK68(sz00,X0),sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(X0)
| ~ sP26(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_836])]) ).
fof(f4095,plain,
( spl96_352
<=> ! [X0,X1] :
( ~ aElementOf0(sK68(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP26(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_352])]) ).
fof(f4211,plain,
( ! [X0] :
( ~ aElementOf0(sK68(sz00,X0),sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(X0)
| ~ sP26(sz00,X0) )
| ~ spl96_44
| ~ spl96_352 ),
inference(superposition,[],[f4096,f1233]) ).
fof(f4096,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK68(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP26(X0,X1) )
| ~ spl96_352 ),
inference(avatar_component_clause,[],[f4095]) ).
fof(f18665,plain,
( spl96_834
| spl96_835
| ~ spl96_197
| ~ spl96_636 ),
inference(avatar_split_clause,[],[f9157,f8893,f2225,f18662,f18658]) ).
fof(f18658,plain,
( spl96_834
<=> xk = sK48 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_834])]) ).
fof(f18662,plain,
( spl96_835
<=> sP35(sK48,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_835])]) ).
fof(f8893,plain,
( spl96_636
<=> ! [X0] :
( xk = X0
| sP35(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_636])]) ).
fof(f9157,plain,
( sP35(sK48,xk)
| xk = sK48
| ~ spl96_197
| ~ spl96_636 ),
inference(resolution,[],[f8894,f2227]) ).
fof(f8894,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP35(X0,xk)
| xk = X0 )
| ~ spl96_636 ),
inference(avatar_component_clause,[],[f8893]) ).
fof(f18656,plain,
( spl96_833
| ~ spl96_137
| ~ spl96_335 ),
inference(avatar_split_clause,[],[f3794,f3782,f1752,f18654]) ).
fof(f18654,plain,
( spl96_833
<=> ! [X0] :
( aElementOf0(sK63(sdtlpdtrp0(xC,X0)),xT)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP20(sdtlpdtrp0(xC,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_833])]) ).
fof(f3782,plain,
( spl96_335
<=> ! [X0,X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_335])]) ).
fof(f3794,plain,
( ! [X0] :
( aElementOf0(sK63(sdtlpdtrp0(xC,X0)),xT)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP20(sdtlpdtrp0(xC,X0)) )
| ~ spl96_137
| ~ spl96_335 ),
inference(resolution,[],[f3783,f1753]) ).
fof(f3783,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(X1,xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_335 ),
inference(avatar_component_clause,[],[f3782]) ).
fof(f18610,plain,
( ~ spl96_11
| ~ spl96_12
| spl96_832
| ~ spl96_32
| ~ spl96_313 ),
inference(avatar_split_clause,[],[f3461,f3272,f1178,f18607,f1079,f1074]) ).
fof(f1079,plain,
( spl96_12
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_12])]) ).
fof(f18607,plain,
( spl96_832
<=> sbrdtbr0(xT) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xT,szDzizrdt0(xd)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_832])]) ).
fof(f1178,plain,
( spl96_32
<=> aElementOf0(szDzizrdt0(xd),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_32])]) ).
fof(f3272,plain,
( spl96_313
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_313])]) ).
fof(f3461,plain,
( sbrdtbr0(xT) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xT,szDzizrdt0(xd))))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl96_32
| ~ spl96_313 ),
inference(resolution,[],[f3273,f1180]) ).
fof(f1180,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ spl96_32 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f3273,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_313 ),
inference(avatar_component_clause,[],[f3272]) ).
fof(f18604,plain,
( ~ spl96_7
| ~ spl96_17
| spl96_831
| ~ spl96_567
| ~ spl96_29
| ~ spl96_311 ),
inference(avatar_split_clause,[],[f3443,f3264,f1163,f7909,f18601,f1104,f1054]) ).
fof(f1054,plain,
( spl96_7
<=> aFunction0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_7])]) ).
fof(f1104,plain,
( spl96_17
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_17])]) ).
fof(f18601,plain,
( spl96_831
<=> isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_831])]) ).
fof(f7909,plain,
( spl96_567
<=> isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_567])]) ).
fof(f1163,plain,
( spl96_29
<=> szNzAzT0 = szDzozmdt0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_29])]) ).
fof(f3264,plain,
( spl96_311
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_311])]) ).
fof(f3443,plain,
( ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xd)
| ~ spl96_29
| ~ spl96_311 ),
inference(superposition,[],[f3265,f1165]) ).
fof(f1165,plain,
( szNzAzT0 = szDzozmdt0(xd)
| ~ spl96_29 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f3265,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_311 ),
inference(avatar_component_clause,[],[f3264]) ).
fof(f18589,plain,
( ~ spl96_23
| spl96_830
| ~ spl96_31
| ~ spl96_294 ),
inference(avatar_split_clause,[],[f3179,f2933,f1173,f18587,f1134]) ).
fof(f18587,plain,
( spl96_830
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_830])]) ).
fof(f2933,plain,
( spl96_294
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_294])]) ).
fof(f3179,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_31
| ~ spl96_294 ),
inference(superposition,[],[f2934,f1175]) ).
fof(f2934,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_294 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f18576,plain,
( ~ spl96_23
| spl96_829
| ~ spl96_31
| ~ spl96_294 ),
inference(avatar_split_clause,[],[f3178,f2933,f1173,f18574,f1134]) ).
fof(f18574,plain,
( spl96_829
<=> ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_829])]) ).
fof(f3178,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl96_31
| ~ spl96_294 ),
inference(superposition,[],[f2934,f1175]) ).
fof(f18561,plain,
( ~ spl96_23
| spl96_828
| ~ spl96_31
| ~ spl96_293 ),
inference(avatar_split_clause,[],[f3173,f2929,f1173,f18559,f1134]) ).
fof(f18559,plain,
( spl96_828
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_828])]) ).
fof(f2929,plain,
( spl96_293
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_293])]) ).
fof(f3173,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_31
| ~ spl96_293 ),
inference(superposition,[],[f2930,f1175]) ).
fof(f2930,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_293 ),
inference(avatar_component_clause,[],[f2929]) ).
fof(f18550,plain,
( ~ spl96_23
| spl96_827
| ~ spl96_31
| ~ spl96_293 ),
inference(avatar_split_clause,[],[f3172,f2929,f1173,f18548,f1134]) ).
fof(f18548,plain,
( spl96_827
<=> ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_827])]) ).
fof(f3172,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl96_31
| ~ spl96_293 ),
inference(superposition,[],[f2930,f1175]) ).
fof(f18539,plain,
( ~ spl96_23
| spl96_826
| ~ spl96_31
| ~ spl96_292 ),
inference(avatar_split_clause,[],[f3167,f2925,f1173,f18537,f1134]) ).
fof(f18537,plain,
( spl96_826
<=> ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_826])]) ).
fof(f2925,plain,
( spl96_292
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_292])]) ).
fof(f3167,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl96_31
| ~ spl96_292 ),
inference(superposition,[],[f2926,f1175]) ).
fof(f2926,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_292 ),
inference(avatar_component_clause,[],[f2925]) ).
fof(f18505,plain,
( ~ spl96_9
| spl96_825
| ~ spl96_49
| ~ spl96_291 ),
inference(avatar_split_clause,[],[f3158,f2921,f1255,f18503,f1064]) ).
fof(f18503,plain,
( spl96_825
<=> ! [X0] :
( xO = sdtmndt0(sdtpldt0(xO,X0),X0)
| sP34(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_825])]) ).
fof(f2921,plain,
( spl96_291
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_291])]) ).
fof(f3158,plain,
( ! [X0] :
( xO = sdtmndt0(sdtpldt0(xO,X0),X0)
| ~ aSet0(xO)
| ~ aElement0(X0)
| sP34(X0) )
| ~ spl96_49
| ~ spl96_291 ),
inference(resolution,[],[f2922,f1256]) ).
fof(f2922,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl96_291 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f18463,plain,
( ~ spl96_42
| spl96_824
| ~ spl96_106
| ~ spl96_219 ),
inference(avatar_split_clause,[],[f2403,f2365,f1543,f18461,f1222]) ).
fof(f1222,plain,
( spl96_42
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_42])]) ).
fof(f18461,plain,
( spl96_824
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(xc,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_824])]) ).
fof(f2403,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(xc,X0))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) )
| ~ spl96_106
| ~ spl96_219 ),
inference(resolution,[],[f2366,f1544]) ).
fof(f18459,plain,
( spl96_823
| ~ spl96_77
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2396,f2361,f1392,f18457]) ).
fof(f18457,plain,
( spl96_823
<=> ! [X0,X1] :
( sK75(X1) = X0
| sP35(X0,sK75(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP34(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_823])]) ).
fof(f2396,plain,
( ! [X0,X1] :
( sK75(X1) = X0
| sP35(X0,sK75(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP34(X1) )
| ~ spl96_77
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1393]) ).
fof(f18455,plain,
( spl96_495
| spl96_822
| ~ spl96_197
| ~ spl96_635 ),
inference(avatar_split_clause,[],[f9117,f8889,f2225,f18452,f7120]) ).
fof(f7120,plain,
( spl96_495
<=> xK = sK48 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_495])]) ).
fof(f18452,plain,
( spl96_822
<=> sP35(sK48,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_822])]) ).
fof(f8889,plain,
( spl96_635
<=> ! [X0] :
( xK = X0
| sP35(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_635])]) ).
fof(f9117,plain,
( sP35(sK48,xK)
| xK = sK48
| ~ spl96_197
| ~ spl96_635 ),
inference(resolution,[],[f8890,f2227]) ).
fof(f8890,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP35(X0,xK)
| xK = X0 )
| ~ spl96_635 ),
inference(avatar_component_clause,[],[f8889]) ).
fof(f18450,plain,
( spl96_821
| ~ spl96_164
| ~ spl96_192 ),
inference(avatar_split_clause,[],[f2205,f2151,f1930,f18448]) ).
fof(f18448,plain,
( spl96_821
<=> ! [X0] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK56(sdtlpdtrp0(xd,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_821])]) ).
fof(f1930,plain,
( spl96_164
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_164])]) ).
fof(f2151,plain,
( spl96_192
<=> ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,sK56(X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_192])]) ).
fof(f2205,plain,
( ! [X0] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(xd,sK56(sdtlpdtrp0(xd,X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_164
| ~ spl96_192 ),
inference(resolution,[],[f2152,f1931]) ).
fof(f1931,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl96_164 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f2152,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,sK56(X1)) = X1 )
| ~ spl96_192 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f18446,plain,
( spl96_820
| ~ spl96_112
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2183,f2139,f1570,f18444]) ).
fof(f18444,plain,
( spl96_820
<=> ! [X0,X1] :
( sP15(szszuzczcdt0(X0),X1)
| ~ aSet0(X1)
| sP16(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_820])]) ).
fof(f2183,plain,
( ! [X0,X1] :
( sP15(szszuzczcdt0(X0),X1)
| ~ aSet0(X1)
| sP16(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_112
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1571]) ).
fof(f18442,plain,
( spl96_819
| ~ spl96_112
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2155,f2123,f1570,f18440]) ).
fof(f18440,plain,
( spl96_819
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) = sdtlpdtrp0(xe,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_819])]) ).
fof(f2155,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) = sdtlpdtrp0(xe,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_112
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1571]) ).
fof(f18438,plain,
( ~ spl96_817
| spl96_818
| ~ spl96_119
| ~ spl96_154 ),
inference(avatar_split_clause,[],[f1904,f1820,f1640,f18435,f18431]) ).
fof(f18431,plain,
( spl96_817
<=> sP39(sdtlbdtrb0(xd,szDzizrdt0(xd)),xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_817])]) ).
fof(f18435,plain,
( spl96_818
<=> sP38(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_818])]) ).
fof(f1640,plain,
( spl96_119
<=> xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_119])]) ).
fof(f1904,plain,
( sP38(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),xO)
| ~ sP39(sdtlbdtrb0(xd,szDzizrdt0(xd)),xe)
| ~ spl96_119
| ~ spl96_154 ),
inference(superposition,[],[f1821,f1642]) ).
fof(f1642,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl96_119 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f18414,plain,
( spl96_816
| ~ spl96_9
| spl96_574
| ~ spl96_134
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1898,f1804,f1738,f8009,f1064,f18411]) ).
fof(f18411,plain,
( spl96_816
<=> sK89(xO) = sdtlpdtrp0(xe,sK55(sK89(xO))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_816])]) ).
fof(f8009,plain,
( spl96_574
<=> slcrc0 = xO ),
introduced(avatar_definition,[new_symbols(naming,[spl96_574])]) ).
fof(f1898,plain,
( slcrc0 = xO
| ~ aSet0(xO)
| sK89(xO) = sdtlpdtrp0(xe,sK55(sK89(xO)))
| ~ spl96_134
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1739]) ).
fof(f17931,plain,
( ~ spl96_197
| spl96_815
| ~ spl96_432
| ~ spl96_617 ),
inference(avatar_split_clause,[],[f8742,f8738,f6133,f17928,f2225]) ).
fof(f17928,plain,
( spl96_815
<=> aElement0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_815])]) ).
fof(f6133,plain,
( spl96_432
<=> xS = sdtlpdtrp0(xN,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_432])]) ).
fof(f8738,plain,
( spl96_617
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_617])]) ).
fof(f8742,plain,
( aElement0(xS)
| ~ aElementOf0(sK48,szNzAzT0)
| ~ spl96_432
| ~ spl96_617 ),
inference(superposition,[],[f8739,f6135]) ).
fof(f6135,plain,
( xS = sdtlpdtrp0(xN,sK48)
| ~ spl96_432 ),
inference(avatar_component_clause,[],[f6133]) ).
fof(f8739,plain,
( ! [X0] :
( aElement0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_617 ),
inference(avatar_component_clause,[],[f8738]) ).
fof(f17866,plain,
( spl96_814
| ~ spl96_253
| ~ spl96_382 ),
inference(avatar_split_clause,[],[f4973,f4934,f2687,f17864]) ).
fof(f17864,plain,
( spl96_814
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1)
| ~ sP29(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_814])]) ).
fof(f2687,plain,
( spl96_253
<=> ! [X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_253])]) ).
fof(f4934,plain,
( spl96_382
<=> ! [X0,X1] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_382])]) ).
fof(f4973,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1)
| ~ sP29(X1,X0) )
| ~ spl96_253
| ~ spl96_382 ),
inference(resolution,[],[f4935,f2688]) ).
fof(f2688,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) )
| ~ spl96_253 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f4935,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) )
| ~ spl96_382 ),
inference(avatar_component_clause,[],[f4934]) ).
fof(f17836,plain,
( ~ spl96_18
| spl96_813
| ~ spl96_26
| ~ spl96_372 ),
inference(avatar_split_clause,[],[f4778,f4419,f1149,f17834,f1109]) ).
fof(f17834,plain,
( spl96_813
<=> ! [X0,X1] :
( aSubsetOf0(sK95(X0,X1,slcrc0),X1)
| sP46(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_813])]) ).
fof(f4419,plain,
( spl96_372
<=> ! [X2,X0,X1] :
( sP46(X0,X1,X2)
| aSubsetOf0(sK95(X0,X1,X2),X1)
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_372])]) ).
fof(f4778,plain,
( ! [X0,X1] :
( aSubsetOf0(sK95(X0,X1,slcrc0),X1)
| sP46(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_372 ),
inference(resolution,[],[f4420,f1150]) ).
fof(f4420,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK95(X0,X1,X2),X1)
| aElementOf0(sK95(X0,X1,X2),X2)
| sP46(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl96_372 ),
inference(avatar_component_clause,[],[f4419]) ).
fof(f17721,plain,
( ~ spl96_18
| spl96_812
| ~ spl96_26
| ~ spl96_368 ),
inference(avatar_split_clause,[],[f4598,f4403,f1149,f17719,f1109]) ).
fof(f17719,plain,
( spl96_812
<=> ! [X0,X1] :
( aElementOf0(sK79(X0,X1,slcrc0),X1)
| sP38(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_812])]) ).
fof(f4403,plain,
( spl96_368
<=> ! [X2,X0,X1] :
( sP38(X0,X1,X2)
| aElementOf0(sK79(X0,X1,X2),X1)
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_368])]) ).
fof(f4598,plain,
( ! [X0,X1] :
( aElementOf0(sK79(X0,X1,slcrc0),X1)
| sP38(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_368 ),
inference(resolution,[],[f4404,f1150]) ).
fof(f4404,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK79(X0,X1,X2),X1)
| aElementOf0(sK78(X0,X1,X2),X2)
| sP38(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl96_368 ),
inference(avatar_component_clause,[],[f4403]) ).
fof(f17717,plain,
( spl96_811
| ~ spl96_166
| ~ spl96_367 ),
inference(avatar_split_clause,[],[f4517,f4399,f1954,f17715]) ).
fof(f17715,plain,
( spl96_811
<=> ! [X0] :
( aElementOf0(sK76(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP35(X0,X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_811])]) ).
fof(f4517,plain,
( ! [X0] :
( aElementOf0(sK76(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP35(X0,X0)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_367 ),
inference(resolution,[],[f4400,f1955]) ).
fof(f17618,plain,
( spl96_810
| ~ spl96_168
| ~ spl96_367 ),
inference(avatar_split_clause,[],[f4516,f4399,f1962,f17616]) ).
fof(f17616,plain,
( spl96_810
<=> ! [X0] :
( aElementOf0(sK76(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP35(X0,X0)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_810])]) ).
fof(f4516,plain,
( ! [X0] :
( aElementOf0(sK76(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP35(X0,X0)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_367 ),
inference(resolution,[],[f4400,f1963]) ).
fof(f17614,plain,
( spl96_809
| ~ spl96_287
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4468,f4387,f2905,f17612]) ).
fof(f17612,plain,
( spl96_809
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP31(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_809])]) ).
fof(f2905,plain,
( spl96_287
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_287])]) ).
fof(f4468,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP31(X1) )
| ~ spl96_287
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2906]) ).
fof(f2906,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP31(X0) )
| ~ spl96_287 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f17610,plain,
( spl96_808
| ~ spl96_284
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4467,f4387,f2892,f17608]) ).
fof(f17608,plain,
( spl96_808
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP25(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_808])]) ).
fof(f2892,plain,
( spl96_284
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_284])]) ).
fof(f4467,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP25(X1) )
| ~ spl96_284
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2893]) ).
fof(f2893,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP25(X0) )
| ~ spl96_284 ),
inference(avatar_component_clause,[],[f2892]) ).
fof(f17606,plain,
( spl96_807
| ~ spl96_283
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4466,f4387,f2888,f17604]) ).
fof(f17604,plain,
( spl96_807
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP27(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_807])]) ).
fof(f2888,plain,
( spl96_283
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_283])]) ).
fof(f4466,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP27(X1) )
| ~ spl96_283
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2889]) ).
fof(f2889,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP27(X0) )
| ~ spl96_283 ),
inference(avatar_component_clause,[],[f2888]) ).
fof(f17602,plain,
( spl96_806
| ~ spl96_278
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4465,f4387,f2868,f17600]) ).
fof(f17600,plain,
( spl96_806
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_806])]) ).
fof(f2868,plain,
( spl96_278
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_278])]) ).
fof(f4465,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP12(X1) )
| ~ spl96_278
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2869]) ).
fof(f2869,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP12(X0) )
| ~ spl96_278 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f17598,plain,
( spl96_805
| ~ spl96_273
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4464,f4387,f2847,f17596]) ).
fof(f17596,plain,
( spl96_805
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP9(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_805])]) ).
fof(f2847,plain,
( spl96_273
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_273])]) ).
fof(f4464,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP9(X1) )
| ~ spl96_273
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2848]) ).
fof(f2848,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP9(X0) )
| ~ spl96_273 ),
inference(avatar_component_clause,[],[f2847]) ).
fof(f17594,plain,
( spl96_804
| ~ spl96_272
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4463,f4387,f2843,f17592]) ).
fof(f17592,plain,
( spl96_804
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_804])]) ).
fof(f2843,plain,
( spl96_272
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_272])]) ).
fof(f4463,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP1(X1) )
| ~ spl96_272
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2844]) ).
fof(f2844,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP1(X0) )
| ~ spl96_272 ),
inference(avatar_component_clause,[],[f2843]) ).
fof(f17590,plain,
( spl96_803
| ~ spl96_270
| ~ spl96_364 ),
inference(avatar_split_clause,[],[f4462,f4387,f2835,f17588]) ).
fof(f17588,plain,
( spl96_803
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_803])]) ).
fof(f2835,plain,
( spl96_270
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_270])]) ).
fof(f4462,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP10(X1)
| aElement0(X0)
| ~ sP5(X1) )
| ~ spl96_270
| ~ spl96_364 ),
inference(resolution,[],[f4388,f2836]) ).
fof(f2836,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP5(X0) )
| ~ spl96_270 ),
inference(avatar_component_clause,[],[f2835]) ).
fof(f17545,plain,
( spl96_802
| ~ spl96_700
| ~ spl96_65
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2052,f1970,f1340,f10065,f17543]) ).
fof(f17543,plain,
( spl96_802
<=> ! [X0] :
( ~ sP26(X0,szDzozmdt0(xc))
| aSet0(sK68(X0,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_802])]) ).
fof(f10065,plain,
( spl96_700
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_700])]) ).
fof(f1340,plain,
( spl96_65
<=> ! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_65])]) ).
fof(f2052,plain,
( ! [X0] :
( ~ aSet0(szDzozmdt0(xc))
| ~ sP26(X0,szDzozmdt0(xc))
| aSet0(sK68(X0,szDzozmdt0(xc))) )
| ~ spl96_65
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1341]) ).
fof(f1341,plain,
( ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSet0(X4) )
| ~ spl96_65 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f17536,plain,
( spl96_801
| ~ spl96_700
| spl96_496
| ~ spl96_91
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1891,f1804,f1477,f7124,f10065,f17533]) ).
fof(f17533,plain,
( spl96_801
<=> aSubsetOf0(sK89(szDzozmdt0(xc)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_801])]) ).
fof(f7124,plain,
( spl96_496
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_496])]) ).
fof(f1477,plain,
( spl96_91
<=> ! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_91])]) ).
fof(f1891,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| aSubsetOf0(sK89(szDzozmdt0(xc)),xS)
| ~ spl96_91
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1478]) ).
fof(f1478,plain,
( ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSubsetOf0(X4,xS) )
| ~ spl96_91 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f17349,plain,
( spl96_394
| ~ spl96_87
| ~ spl96_415 ),
inference(avatar_split_clause,[],[f5742,f5697,f1433,f5189]) ).
fof(f5697,plain,
( spl96_415
<=> sK48 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_415])]) ).
fof(f5742,plain,
( sz00 = sK48
| ~ spl96_87
| ~ spl96_415 ),
inference(superposition,[],[f1435,f5699]) ).
fof(f5699,plain,
( sK48 = sbrdtbr0(slcrc0)
| ~ spl96_415 ),
inference(avatar_component_clause,[],[f5697]) ).
fof(f16853,plain,
( spl96_800
| ~ spl96_87
| ~ spl96_404
| ~ spl96_415
| ~ spl96_441 ),
inference(avatar_split_clause,[],[f6547,f6263,f5697,f5267,f1433,f16851]) ).
fof(f16851,plain,
( spl96_800
<=> ! [X2,X0,X1] :
( sK48 = X1
| slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK94(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(sK94(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,[spl96_800])]) ).
fof(f5267,plain,
( spl96_404
<=> ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_404])]) ).
fof(f6263,plain,
( spl96_441
<=> ! [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,[spl96_441])]) ).
fof(f6547,plain,
( ! [X2,X0,X1] :
( sK48 = X1
| slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK94(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(sK94(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aSubsetOf0(slbdtsldtrb0(X0,X1),slbdtsldtrb0(X2,X1))
| ~ aSet0(X2) )
| ~ spl96_87
| ~ spl96_404
| ~ spl96_415
| ~ spl96_441 ),
inference(forward_demodulation,[],[f6546,f5742]) ).
fof(f6546,plain,
( ! [X2,X0,X1] :
( slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK94(X2,X1,slbdtsldtrb0(X0,X1)))
| sz00 = X1
| ~ aSet0(sK94(X2,X1,slbdtsldtrb0(X0,X1)))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(slbdtsldtrb0(X0,X1))
| ~ aSubsetOf0(slbdtsldtrb0(X0,X1),slbdtsldtrb0(X2,X1))
| ~ aSet0(X2) )
| ~ spl96_404
| ~ spl96_441 ),
inference(duplicate_literal_removal,[],[f6541]) ).
fof(f6541,plain,
( ! [X2,X0,X1] :
( slcrc0 = slbdtsldtrb0(X0,X1)
| aSubsetOf0(X0,sK94(X2,X1,slbdtsldtrb0(X0,X1)))
| sz00 = X1
| ~ aSet0(sK94(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) )
| ~ spl96_404
| ~ spl96_441 ),
inference(resolution,[],[f6264,f5268]) ).
fof(f5268,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl96_404 ),
inference(avatar_component_clause,[],[f5267]) ).
fof(f6264,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) )
| ~ spl96_441 ),
inference(avatar_component_clause,[],[f6263]) ).
fof(f16170,plain,
( spl96_799
| ~ spl96_34
| ~ spl96_791 ),
inference(avatar_split_clause,[],[f15702,f15056,f1188,f16167]) ).
fof(f16167,plain,
( spl96_799
<=> sP5(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_799])]) ).
fof(f1188,plain,
( spl96_34
<=> ! [X0] :
( sP5(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_34])]) ).
fof(f15056,plain,
( spl96_791
<=> sP8(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_791])]) ).
fof(f15702,plain,
( sP5(sK84(sK48))
| ~ spl96_34
| ~ spl96_791 ),
inference(resolution,[],[f15058,f1189]) ).
fof(f1189,plain,
( ! [X0] :
( ~ sP8(X0)
| sP5(X0) )
| ~ spl96_34 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f15058,plain,
( sP8(sK84(sK48))
| ~ spl96_791 ),
inference(avatar_component_clause,[],[f15056]) ).
fof(f16081,plain,
( spl96_798
| ~ spl96_35
| ~ spl96_791 ),
inference(avatar_split_clause,[],[f15701,f15056,f1192,f16078]) ).
fof(f16078,plain,
( spl96_798
<=> sP6(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_798])]) ).
fof(f1192,plain,
( spl96_35
<=> ! [X0] :
( sP6(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_35])]) ).
fof(f15701,plain,
( sP6(sK84(sK48))
| ~ spl96_35
| ~ spl96_791 ),
inference(resolution,[],[f15058,f1193]) ).
fof(f1193,plain,
( ! [X0] :
( ~ sP8(X0)
| sP6(X0) )
| ~ spl96_35 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f16040,plain,
( spl96_797
| ~ spl96_36
| ~ spl96_791 ),
inference(avatar_split_clause,[],[f15700,f15056,f1196,f16037]) ).
fof(f16037,plain,
( spl96_797
<=> sP7(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_797])]) ).
fof(f1196,plain,
( spl96_36
<=> ! [X0] :
( sP7(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_36])]) ).
fof(f15700,plain,
( sP7(sK84(sK48))
| ~ spl96_36
| ~ spl96_791 ),
inference(resolution,[],[f15058,f1197]) ).
fof(f1197,plain,
( ! [X0] :
( ~ sP8(X0)
| sP7(X0) )
| ~ spl96_36 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f15620,plain,
( ~ spl96_18
| spl96_796
| ~ spl96_87
| ~ spl96_377
| ~ spl96_415 ),
inference(avatar_split_clause,[],[f15196,f5697,f4440,f1433,f15618,f1109]) ).
fof(f15618,plain,
( spl96_796
<=> ! [X2,X0,X1] :
( ~ sP21(X0,X1,sK48,X2)
| sdtlpdtrp0(X1,slcrc0) = X0
| aElementOf0(sK62(X2,slcrc0),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_796])]) ).
fof(f4440,plain,
( spl96_377
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK62(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_377])]) ).
fof(f15196,plain,
( ! [X2,X0,X1] :
( ~ sP21(X0,X1,sK48,X2)
| aElementOf0(sK62(X2,slcrc0),slcrc0)
| ~ aSet0(slcrc0)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl96_87
| ~ spl96_377
| ~ spl96_415 ),
inference(forward_demodulation,[],[f4891,f5742]) ).
fof(f4891,plain,
( ! [X2,X0,X1] :
( ~ sP21(X0,X1,sz00,X2)
| aElementOf0(sK62(X2,slcrc0),slcrc0)
| ~ aSet0(slcrc0)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl96_87
| ~ spl96_377 ),
inference(superposition,[],[f4441,f1435]) ).
fof(f4441,plain,
( ! [X3,X0,X1,X4] :
( ~ sP21(X0,X1,sbrdtbr0(X4),X3)
| aElementOf0(sK62(X3,X4),X4)
| ~ aSet0(X4)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl96_377 ),
inference(avatar_component_clause,[],[f4440]) ).
fof(f15615,plain,
( ~ spl96_18
| spl96_795
| ~ spl96_87
| ~ spl96_376
| ~ spl96_415 ),
inference(avatar_split_clause,[],[f15195,f5697,f4436,f1433,f15613,f1109]) ).
fof(f15613,plain,
( spl96_795
<=> ! [X2,X0,X1] :
( ~ sP21(X0,X1,sK48,X2)
| sdtlpdtrp0(X1,slcrc0) = X0
| ~ aElementOf0(sK62(X2,slcrc0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_795])]) ).
fof(f4436,plain,
( spl96_376
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK62(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_376])]) ).
fof(f15195,plain,
( ! [X2,X0,X1] :
( ~ sP21(X0,X1,sK48,X2)
| ~ aElementOf0(sK62(X2,slcrc0),X2)
| ~ aSet0(slcrc0)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl96_87
| ~ spl96_376
| ~ spl96_415 ),
inference(forward_demodulation,[],[f4888,f5742]) ).
fof(f4888,plain,
( ! [X2,X0,X1] :
( ~ sP21(X0,X1,sz00,X2)
| ~ aElementOf0(sK62(X2,slcrc0),X2)
| ~ aSet0(slcrc0)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl96_87
| ~ spl96_376 ),
inference(superposition,[],[f4437,f1435]) ).
fof(f4437,plain,
( ! [X3,X0,X1,X4] :
( ~ sP21(X0,X1,sbrdtbr0(X4),X3)
| ~ aElementOf0(sK62(X3,X4),X3)
| ~ aSet0(X4)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl96_376 ),
inference(avatar_component_clause,[],[f4436]) ).
fof(f15600,plain,
( ~ spl96_18
| ~ spl96_15
| spl96_794
| ~ spl96_87
| ~ spl96_359
| ~ spl96_415 ),
inference(avatar_split_clause,[],[f15194,f5697,f4123,f1433,f15598,f1094,f1109]) ).
fof(f15598,plain,
( spl96_794
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sK48)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK93(slcrc0,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_794])]) ).
fof(f4123,plain,
( spl96_359
<=> ! [X0,X1] :
( sbrdtbr0(sK93(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_359])]) ).
fof(f15194,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sK48)
| sbrdtbr0(sK93(slcrc0,X0)) = X0
| ~ isFinite0(slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slcrc0) )
| ~ spl96_87
| ~ spl96_359
| ~ spl96_415 ),
inference(forward_demodulation,[],[f4349,f5742]) ).
fof(f4349,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| sbrdtbr0(sK93(slcrc0,X0)) = X0
| ~ isFinite0(slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slcrc0) )
| ~ spl96_87
| ~ spl96_359 ),
inference(superposition,[],[f4124,f1435]) ).
fof(f4124,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| sbrdtbr0(sK93(X0,X1)) = X1
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl96_359 ),
inference(avatar_component_clause,[],[f4123]) ).
fof(f15577,plain,
( ~ spl96_18
| ~ spl96_15
| spl96_793
| ~ spl96_26
| ~ spl96_87
| ~ spl96_358
| ~ spl96_415 ),
inference(avatar_split_clause,[],[f15193,f5697,f4119,f1433,f1149,f15575,f1094,f1109]) ).
fof(f15193,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sK48)
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_26
| ~ spl96_87
| ~ spl96_358
| ~ spl96_415 ),
inference(forward_demodulation,[],[f4342,f5742]) ).
fof(f15569,plain,
( ~ spl96_5
| spl96_792
| ~ spl96_65
| ~ spl96_331
| ~ spl96_496 ),
inference(avatar_split_clause,[],[f15310,f7124,f3357,f1340,f15567,f1044]) ).
fof(f1044,plain,
( spl96_5
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_5])]) ).
fof(f15567,plain,
( spl96_792
<=> ! [X0] :
( aSet0(sK77(xc,X0,slcrc0))
| sP36(xc,X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_792])]) ).
fof(f3357,plain,
( spl96_331
<=> ! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK77(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_331])]) ).
fof(f15310,plain,
( ! [X0] :
( aSet0(sK77(xc,X0,slcrc0))
| sP36(xc,X0,slcrc0)
| ~ aFunction0(xc) )
| ~ spl96_65
| ~ spl96_331
| ~ spl96_496 ),
inference(forward_demodulation,[],[f15309,f7126]) ).
fof(f7126,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ spl96_496 ),
inference(avatar_component_clause,[],[f7124]) ).
fof(f15309,plain,
( ! [X0] :
( sP36(xc,X0,slcrc0)
| ~ aFunction0(xc)
| aSet0(sK77(xc,X0,szDzozmdt0(xc))) )
| ~ spl96_65
| ~ spl96_331
| ~ spl96_496 ),
inference(forward_demodulation,[],[f13582,f7126]) ).
fof(f13582,plain,
( ! [X0] :
( sP36(xc,X0,szDzozmdt0(xc))
| ~ aFunction0(xc)
| aSet0(sK77(xc,X0,szDzozmdt0(xc))) )
| ~ spl96_65
| ~ spl96_331 ),
inference(resolution,[],[f3358,f1341]) ).
fof(f3358,plain,
( ! [X0,X1] :
( aElementOf0(sK77(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| sP36(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_331 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f15192,plain,
( ~ spl96_18
| ~ spl96_496
| spl96_700 ),
inference(avatar_split_clause,[],[f15189,f10065,f7124,f1109]) ).
fof(f15189,plain,
( ~ aSet0(slcrc0)
| ~ spl96_496
| spl96_700 ),
inference(superposition,[],[f10067,f7126]) ).
fof(f10067,plain,
( ~ aSet0(szDzozmdt0(xc))
| spl96_700 ),
inference(avatar_component_clause,[],[f10065]) ).
fof(f15149,plain,
( spl96_460
| ~ spl96_87
| ~ spl96_415
| ~ spl96_459 ),
inference(avatar_split_clause,[],[f6679,f6675,f5697,f1433,f6681]) ).
fof(f6681,plain,
( spl96_460
<=> sdtlseqdt0(sK48,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_460])]) ).
fof(f6675,plain,
( spl96_459
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_459])]) ).
fof(f6679,plain,
( sdtlseqdt0(sK48,xK)
| ~ spl96_87
| ~ spl96_415
| ~ spl96_459 ),
inference(forward_demodulation,[],[f6677,f5742]) ).
fof(f6677,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl96_459 ),
inference(avatar_component_clause,[],[f6675]) ).
fof(f15146,plain,
( ~ spl96_394
| spl96_19
| ~ spl96_495 ),
inference(avatar_split_clause,[],[f15106,f7120,f1114,f5189]) ).
fof(f1114,plain,
( spl96_19
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl96_19])]) ).
fof(f15106,plain,
( sz00 != sK48
| spl96_19
| ~ spl96_495 ),
inference(superposition,[],[f1116,f7122]) ).
fof(f7122,plain,
( xK = sK48
| ~ spl96_495 ),
inference(avatar_component_clause,[],[f7120]) ).
fof(f1116,plain,
( sz00 != xK
| spl96_19 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f15059,plain,
( spl96_791
| spl96_394
| ~ spl96_197
| ~ spl96_622 ),
inference(avatar_split_clause,[],[f8981,f8766,f2225,f5189,f15056]) ).
fof(f8766,plain,
( spl96_622
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP8(sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_622])]) ).
fof(f8981,plain,
( sz00 = sK48
| sP8(sK84(sK48))
| ~ spl96_197
| ~ spl96_622 ),
inference(resolution,[],[f8767,f2227]) ).
fof(f8767,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP8(sK84(X0)) )
| ~ spl96_622 ),
inference(avatar_component_clause,[],[f8766]) ).
fof(f14752,plain,
( spl96_790
| ~ spl96_82
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7173,f6915,f1413,f14749]) ).
fof(f14749,plain,
( spl96_790
<=> sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_790])]) ).
fof(f1413,plain,
( spl96_82
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_82])]) ).
fof(f6915,plain,
( spl96_488
<=> aElementOf0(szmzizndt0(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_488])]) ).
fof(f7173,plain,
( sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xS))
| ~ spl96_82
| ~ spl96_488 ),
inference(resolution,[],[f6917,f1414]) ).
fof(f1414,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl96_82 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f6917,plain,
( aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ spl96_488 ),
inference(avatar_component_clause,[],[f6915]) ).
fof(f13012,plain,
( spl96_789
| ~ spl96_34
| ~ spl96_750 ),
inference(avatar_split_clause,[],[f12028,f11105,f1188,f13009]) ).
fof(f13009,plain,
( spl96_789
<=> sP5(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_789])]) ).
fof(f11105,plain,
( spl96_750
<=> sP8(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_750])]) ).
fof(f12028,plain,
( sP5(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_34
| ~ spl96_750 ),
inference(resolution,[],[f11107,f1189]) ).
fof(f11107,plain,
( sP8(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_750 ),
inference(avatar_component_clause,[],[f11105]) ).
fof(f12904,plain,
( spl96_788
| ~ spl96_35
| ~ spl96_750 ),
inference(avatar_split_clause,[],[f12027,f11105,f1192,f12901]) ).
fof(f12901,plain,
( spl96_788
<=> sP6(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_788])]) ).
fof(f12027,plain,
( sP6(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_35
| ~ spl96_750 ),
inference(resolution,[],[f11107,f1193]) ).
fof(f12691,plain,
( spl96_787
| ~ spl96_36
| ~ spl96_750 ),
inference(avatar_split_clause,[],[f12026,f11105,f1196,f12688]) ).
fof(f12688,plain,
( spl96_787
<=> sP7(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_787])]) ).
fof(f12026,plain,
( sP7(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_36
| ~ spl96_750 ),
inference(resolution,[],[f11107,f1197]) ).
fof(f11692,plain,
( ~ spl96_18
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11657]) ).
fof(f11657,plain,
( $false
| ~ spl96_18
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1111]) ).
fof(f1111,plain,
( aSet0(slcrc0)
| ~ spl96_18 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f11652,plain,
( ! [X1] : ~ aSet0(X1)
| ~ spl96_785 ),
inference(avatar_component_clause,[],[f11651]) ).
fof(f11651,plain,
( spl96_785
<=> ! [X1] : ~ aSet0(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_785])]) ).
fof(f11691,plain,
( ~ spl96_533
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11660]) ).
fof(f11660,plain,
( $false
| ~ spl96_533
| ~ spl96_785 ),
inference(resolution,[],[f11652,f7533]) ).
fof(f7533,plain,
( aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl96_533 ),
inference(avatar_component_clause,[],[f7531]) ).
fof(f7531,plain,
( spl96_533
<=> aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_533])]) ).
fof(f11690,plain,
( ~ spl96_16
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11664]) ).
fof(f11664,plain,
( $false
| ~ spl96_16
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1101]) ).
fof(f1101,plain,
( aSet0(szNzAzT0)
| ~ spl96_16 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1099,plain,
( spl96_16
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_16])]) ).
fof(f11689,plain,
( ~ spl96_116
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11670]) ).
fof(f11670,plain,
( $false
| ~ spl96_116
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1628]) ).
fof(f1628,plain,
( aSet0(sdtlpdtrp0(xN,xi))
| ~ spl96_116 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1627,plain,
( spl96_116
<=> aSet0(sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_116])]) ).
fof(f11688,plain,
( ~ spl96_45
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11671]) ).
fof(f11671,plain,
( $false
| ~ spl96_45
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1238]) ).
fof(f1238,plain,
( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl96_45 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl96_45
<=> aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_45])]) ).
fof(f11687,plain,
( ~ spl96_42
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11676]) ).
fof(f11676,plain,
( $false
| ~ spl96_42
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1224]) ).
fof(f1224,plain,
( aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl96_42 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f11686,plain,
( ~ spl96_33
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11677]) ).
fof(f11677,plain,
( $false
| ~ spl96_33
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1185]) ).
fof(f1185,plain,
( aSet0(sdtlcdtrc0(xd,szNzAzT0))
| ~ spl96_33 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f11685,plain,
( ~ spl96_11
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11678]) ).
fof(f11678,plain,
( $false
| ~ spl96_11
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1076]) ).
fof(f1076,plain,
( aSet0(xT)
| ~ spl96_11 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f11684,plain,
( ~ spl96_13
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11679]) ).
fof(f11679,plain,
( $false
| ~ spl96_13
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1086]) ).
fof(f1086,plain,
( aSet0(xS)
| ~ spl96_13 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1084,plain,
( spl96_13
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_13])]) ).
fof(f11683,plain,
( ~ spl96_9
| ~ spl96_785 ),
inference(avatar_contradiction_clause,[],[f11680]) ).
fof(f11680,plain,
( $false
| ~ spl96_9
| ~ spl96_785 ),
inference(resolution,[],[f11652,f1066]) ).
fof(f1066,plain,
( aSet0(xO)
| ~ spl96_9 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f11656,plain,
( spl96_785
| spl96_786
| ~ spl96_194
| ~ spl96_301 ),
inference(avatar_split_clause,[],[f3383,f3223,f2213,f11654,f11651]) ).
fof(f11654,plain,
( spl96_786
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_786])]) ).
fof(f2213,plain,
( spl96_194
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_194])]) ).
fof(f3223,plain,
( spl96_301
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_301])]) ).
fof(f3383,plain,
( ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| ~ sP7(X0) )
| ~ spl96_194
| ~ spl96_301 ),
inference(duplicate_literal_removal,[],[f3379]) ).
fof(f3379,plain,
( ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| ~ sP7(X0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ spl96_194
| ~ spl96_301 ),
inference(resolution,[],[f3224,f2214]) ).
fof(f2214,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ spl96_194 ),
inference(avatar_component_clause,[],[f2213]) ).
fof(f3224,plain,
( ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) )
| ~ spl96_301 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f11649,plain,
( spl96_784
| ~ spl96_157
| ~ spl96_211 ),
inference(avatar_split_clause,[],[f2345,f2293,f1835,f11647]) ).
fof(f11647,plain,
( spl96_784
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP47(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_784])]) ).
fof(f2293,plain,
( spl96_211
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_211])]) ).
fof(f2345,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP47(X1,X2) )
| ~ spl96_157
| ~ spl96_211 ),
inference(resolution,[],[f2294,f1836]) ).
fof(f2294,plain,
( ! [X2,X0,X1,X4] :
( ~ sP46(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 )
| ~ spl96_211 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f11645,plain,
( spl96_783
| ~ spl96_155
| ~ spl96_210 ),
inference(avatar_split_clause,[],[f2344,f2289,f1824,f11643]) ).
fof(f11643,plain,
( spl96_783
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP43(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_783])]) ).
fof(f2289,plain,
( spl96_210
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_210])]) ).
fof(f2344,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP43(X1,X2) )
| ~ spl96_155
| ~ spl96_210 ),
inference(resolution,[],[f2290,f1825]) ).
fof(f2290,plain,
( ! [X2,X0,X1,X4] :
( ~ sP42(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,szDzozmdt0(X1)) )
| ~ spl96_210 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f11641,plain,
( spl96_782
| ~ spl96_180
| ~ spl96_184 ),
inference(avatar_split_clause,[],[f2119,f2029,f2013,f11639]) ).
fof(f11639,plain,
( spl96_782
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_782])]) ).
fof(f2013,plain,
( spl96_180
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_180])]) ).
fof(f2029,plain,
( spl96_184
<=> ! [X0,X1] :
( sP45(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_184])]) ).
fof(f2119,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl96_180
| ~ spl96_184 ),
inference(resolution,[],[f2030,f2014]) ).
fof(f2014,plain,
( ! [X2,X0,X1,X4] :
( ~ sP45(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl96_180 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f2030,plain,
( ! [X0,X1] :
( sP45(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl96_184 ),
inference(avatar_component_clause,[],[f2029]) ).
fof(f11637,plain,
( spl96_781
| ~ spl96_129
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2077,f1997,f1683,f11635]) ).
fof(f11635,plain,
( spl96_781
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP47(X1,sK84(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_781])]) ).
fof(f1683,plain,
( spl96_129
<=> ! [X0,X1] :
( sP47(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_129])]) ).
fof(f2077,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP47(X1,sK84(X0))
| ~ aSet0(X1) )
| ~ spl96_129
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1684]) ).
fof(f1684,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP47(X0,X1)
| ~ aSet0(X0) )
| ~ spl96_129 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f11633,plain,
( spl96_780
| ~ spl96_488
| ~ spl96_602 ),
inference(avatar_split_clause,[],[f8513,f8505,f6915,f11630]) ).
fof(f11630,plain,
( spl96_780
<=> aElement0(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_780])]) ).
fof(f8505,plain,
( spl96_602
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_602])]) ).
fof(f8513,plain,
( aElement0(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_488
| ~ spl96_602 ),
inference(resolution,[],[f8506,f6917]) ).
fof(f8506,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) )
| ~ spl96_602 ),
inference(avatar_component_clause,[],[f8505]) ).
fof(f11628,plain,
( spl96_779
| ~ spl96_128
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1877,f1800,f1679,f11626]) ).
fof(f11626,plain,
( spl96_779
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK87(X0) = sbrdtbr0(slbdtrb0(sK87(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_779])]) ).
fof(f1877,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK87(X0) = sbrdtbr0(slbdtrb0(sK87(X0))) )
| ~ spl96_128
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1680]) ).
fof(f11624,plain,
( spl96_778
| ~ spl96_84
| ~ spl96_101 ),
inference(avatar_split_clause,[],[f1586,f1523,f1421,f11622]) ).
fof(f11622,plain,
( spl96_778
<=> ! [X0] :
( ~ sP10(X0)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_778])]) ).
fof(f1523,plain,
( spl96_101
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_101])]) ).
fof(f1586,plain,
( ! [X0] :
( ~ sP10(X0)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ spl96_84
| ~ spl96_101 ),
inference(resolution,[],[f1524,f1422]) ).
fof(f1524,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) )
| ~ spl96_101 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f11540,plain,
( ~ spl96_7
| spl96_777
| ~ spl96_29
| ~ spl96_331 ),
inference(avatar_split_clause,[],[f3777,f3357,f1163,f11538,f1054]) ).
fof(f11538,plain,
( spl96_777
<=> ! [X0] :
( aElementOf0(sK77(xd,X0,szNzAzT0),szNzAzT0)
| sP36(xd,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_777])]) ).
fof(f3777,plain,
( ! [X0] :
( aElementOf0(sK77(xd,X0,szNzAzT0),szNzAzT0)
| sP36(xd,X0,szNzAzT0)
| ~ aFunction0(xd) )
| ~ spl96_29
| ~ spl96_331 ),
inference(superposition,[],[f3358,f1165]) ).
fof(f11503,plain,
( ~ spl96_4
| spl96_776
| ~ spl96_27
| ~ spl96_331 ),
inference(avatar_split_clause,[],[f3776,f3357,f1153,f11501,f1039]) ).
fof(f1039,plain,
( spl96_4
<=> aFunction0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_4])]) ).
fof(f11501,plain,
( spl96_776
<=> ! [X0] :
( aElementOf0(sK77(xe,X0,szNzAzT0),szNzAzT0)
| sP36(xe,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_776])]) ).
fof(f1153,plain,
( spl96_27
<=> szNzAzT0 = szDzozmdt0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_27])]) ).
fof(f3776,plain,
( ! [X0] :
( aElementOf0(sK77(xe,X0,szNzAzT0),szNzAzT0)
| sP36(xe,X0,szNzAzT0)
| ~ aFunction0(xe) )
| ~ spl96_27
| ~ spl96_331 ),
inference(superposition,[],[f3358,f1155]) ).
fof(f1155,plain,
( szNzAzT0 = szDzozmdt0(xe)
| ~ spl96_27 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f11499,plain,
( spl96_775
| ~ spl96_488
| ~ spl96_593 ),
inference(avatar_split_clause,[],[f8153,f8145,f6915,f11496]) ).
fof(f11496,plain,
( spl96_775
<=> sP24(xS,szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_775])]) ).
fof(f8145,plain,
( spl96_593
<=> ! [X0] :
( sP24(xS,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_593])]) ).
fof(f8153,plain,
( sP24(xS,szmzizndt0(xS))
| ~ spl96_488
| ~ spl96_593 ),
inference(resolution,[],[f8146,f6917]) ).
fof(f8146,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP24(xS,X0) )
| ~ spl96_593 ),
inference(avatar_component_clause,[],[f8145]) ).
fof(f11461,plain,
( ~ spl96_6
| spl96_774
| ~ spl96_28
| ~ spl96_331 ),
inference(avatar_split_clause,[],[f3775,f3357,f1158,f11459,f1049]) ).
fof(f1049,plain,
( spl96_6
<=> aFunction0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_6])]) ).
fof(f11459,plain,
( spl96_774
<=> ! [X0] :
( aElementOf0(sK77(xC,X0,szNzAzT0),szNzAzT0)
| sP36(xC,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_774])]) ).
fof(f1158,plain,
( spl96_28
<=> szNzAzT0 = szDzozmdt0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_28])]) ).
fof(f3775,plain,
( ! [X0] :
( aElementOf0(sK77(xC,X0,szNzAzT0),szNzAzT0)
| sP36(xC,X0,szNzAzT0)
| ~ aFunction0(xC) )
| ~ spl96_28
| ~ spl96_331 ),
inference(superposition,[],[f3358,f1160]) ).
fof(f1160,plain,
( szNzAzT0 = szDzozmdt0(xC)
| ~ spl96_28 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f11424,plain,
( ~ spl96_8
| spl96_773
| ~ spl96_30
| ~ spl96_331 ),
inference(avatar_split_clause,[],[f3774,f3357,f1168,f11422,f1059]) ).
fof(f1059,plain,
( spl96_8
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_8])]) ).
fof(f11422,plain,
( spl96_773
<=> ! [X0] :
( aElementOf0(sK77(xN,X0,szNzAzT0),szNzAzT0)
| sP36(xN,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_773])]) ).
fof(f1168,plain,
( spl96_30
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_30])]) ).
fof(f3774,plain,
( ! [X0] :
( aElementOf0(sK77(xN,X0,szNzAzT0),szNzAzT0)
| sP36(xN,X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl96_30
| ~ spl96_331 ),
inference(superposition,[],[f3358,f1170]) ).
fof(f1170,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl96_30 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f11413,plain,
( ~ spl96_4
| spl96_772
| ~ spl96_27
| ~ spl96_289 ),
inference(avatar_split_clause,[],[f3094,f2913,f1153,f11411,f1039]) ).
fof(f11411,plain,
( spl96_772
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_772])]) ).
fof(f2913,plain,
( spl96_289
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_289])]) ).
fof(f3094,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xe) )
| ~ spl96_27
| ~ spl96_289 ),
inference(superposition,[],[f2914,f1155]) ).
fof(f2914,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_289 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f11406,plain,
( ~ spl96_6
| spl96_771
| ~ spl96_28
| ~ spl96_289 ),
inference(avatar_split_clause,[],[f3093,f2913,f1158,f11404,f1049]) ).
fof(f11404,plain,
( spl96_771
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xC,X0),sdtlcdtrc0(xC,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_771])]) ).
fof(f3093,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xC,X0),sdtlcdtrc0(xC,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xC) )
| ~ spl96_28
| ~ spl96_289 ),
inference(superposition,[],[f2914,f1160]) ).
fof(f11398,plain,
( ~ spl96_8
| spl96_770
| ~ spl96_30
| ~ spl96_289 ),
inference(avatar_split_clause,[],[f3092,f2913,f1168,f11396,f1059]) ).
fof(f11396,plain,
( spl96_770
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_770])]) ).
fof(f3092,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl96_30
| ~ spl96_289 ),
inference(superposition,[],[f2914,f1170]) ).
fof(f11394,plain,
( spl96_769
| ~ spl96_488
| ~ spl96_548 ),
inference(avatar_split_clause,[],[f7725,f7717,f6915,f11391]) ).
fof(f11391,plain,
( spl96_769
<=> aElement0(sK74(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_769])]) ).
fof(f7717,plain,
( spl96_548
<=> ! [X0] :
( aElement0(sK74(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_548])]) ).
fof(f7725,plain,
( aElement0(sK74(szmzizndt0(xS)))
| ~ spl96_488
| ~ spl96_548 ),
inference(resolution,[],[f7718,f6917]) ).
fof(f7718,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK74(X0)) )
| ~ spl96_548 ),
inference(avatar_component_clause,[],[f7717]) ).
fof(f11389,plain,
( ~ spl96_767
| spl96_768
| ~ spl96_29
| ~ spl96_280 ),
inference(avatar_split_clause,[],[f3030,f2876,f1163,f11387,f11383]) ).
fof(f11383,plain,
( spl96_767
<=> sP19(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_767])]) ).
fof(f11387,plain,
( spl96_768
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK64(xd,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_768])]) ).
fof(f3030,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK64(xd,X0),szNzAzT0)
| ~ sP19(xd) )
| ~ spl96_29
| ~ spl96_280 ),
inference(superposition,[],[f2877,f1165]) ).
fof(f11381,plain,
( ~ spl96_765
| spl96_766
| ~ spl96_27
| ~ spl96_280 ),
inference(avatar_split_clause,[],[f3029,f2876,f1153,f11379,f11375]) ).
fof(f11375,plain,
( spl96_765
<=> sP19(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_765])]) ).
fof(f11379,plain,
( spl96_766
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xe,szNzAzT0))
| aElementOf0(sK64(xe,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_766])]) ).
fof(f3029,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xe,szNzAzT0))
| aElementOf0(sK64(xe,X0),szNzAzT0)
| ~ sP19(xe) )
| ~ spl96_27
| ~ spl96_280 ),
inference(superposition,[],[f2877,f1155]) ).
fof(f11373,plain,
( ~ spl96_763
| spl96_764
| ~ spl96_28
| ~ spl96_280 ),
inference(avatar_split_clause,[],[f3028,f2876,f1158,f11371,f11367]) ).
fof(f11367,plain,
( spl96_763
<=> sP19(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_763])]) ).
fof(f11371,plain,
( spl96_764
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xC,szNzAzT0))
| aElementOf0(sK64(xC,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_764])]) ).
fof(f3028,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xC,szNzAzT0))
| aElementOf0(sK64(xC,X0),szNzAzT0)
| ~ sP19(xC) )
| ~ spl96_28
| ~ spl96_280 ),
inference(superposition,[],[f2877,f1160]) ).
fof(f11365,plain,
( ~ spl96_761
| spl96_762
| ~ spl96_30
| ~ spl96_280 ),
inference(avatar_split_clause,[],[f3027,f2876,f1168,f11363,f11359]) ).
fof(f11359,plain,
( spl96_761
<=> sP19(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_761])]) ).
fof(f11363,plain,
( spl96_762
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xN,szNzAzT0))
| aElementOf0(sK64(xN,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_762])]) ).
fof(f3027,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xN,szNzAzT0))
| aElementOf0(sK64(xN,X0),szNzAzT0)
| ~ sP19(xN) )
| ~ spl96_30
| ~ spl96_280 ),
inference(superposition,[],[f2877,f1170]) ).
fof(f11357,plain,
( spl96_760
| ~ spl96_44
| ~ spl96_276 ),
inference(avatar_split_clause,[],[f3002,f2860,f1231,f11355]) ).
fof(f11355,plain,
( spl96_760
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElementOf0(X0,xS)
| ~ sP16(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_760])]) ).
fof(f3002,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElementOf0(X0,xS)
| ~ sP16(sz00,X1) )
| ~ spl96_44
| ~ spl96_276 ),
inference(superposition,[],[f2861,f1233]) ).
fof(f11306,plain,
( spl96_759
| ~ spl96_488
| ~ spl96_547 ),
inference(avatar_split_clause,[],[f7683,f7675,f6915,f11303]) ).
fof(f11303,plain,
( spl96_759
<=> aElement0(sK71(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_759])]) ).
fof(f7675,plain,
( spl96_547
<=> ! [X0] :
( aElement0(sK71(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_547])]) ).
fof(f7683,plain,
( aElement0(sK71(szmzizndt0(xS)))
| ~ spl96_488
| ~ spl96_547 ),
inference(resolution,[],[f7676,f6917]) ).
fof(f7676,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK71(X0)) )
| ~ spl96_547 ),
inference(avatar_component_clause,[],[f7675]) ).
fof(f11301,plain,
( ~ spl96_23
| spl96_758
| ~ spl96_31
| ~ spl96_261 ),
inference(avatar_split_clause,[],[f2784,f2720,f1173,f11299,f1134]) ).
fof(f2720,plain,
( spl96_261
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_261])]) ).
fof(f2784,plain,
( ! [X0] :
( sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_31
| ~ spl96_261 ),
inference(superposition,[],[f2721,f1175]) ).
fof(f2721,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_261 ),
inference(avatar_component_clause,[],[f2720]) ).
fof(f11295,plain,
( ~ spl96_23
| spl96_757
| ~ spl96_31
| ~ spl96_258 ),
inference(avatar_split_clause,[],[f2768,f2708,f1173,f11293,f1134]) ).
fof(f11293,plain,
( spl96_757
<=> ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| ~ sP40(X0,X1)
| aElementOf0(xk,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_757])]) ).
fof(f2708,plain,
( spl96_258
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_258])]) ).
fof(f2768,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ aElementOf0(xk,szNzAzT0)
| ~ sP40(X0,X1) )
| ~ spl96_31
| ~ spl96_258 ),
inference(superposition,[],[f2709,f1175]) ).
fof(f2709,plain,
( ! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP40(X0,X1) )
| ~ spl96_258 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f11291,plain,
( spl96_756
| ~ spl96_98
| ~ spl96_230 ),
inference(avatar_split_clause,[],[f2511,f2447,f1506,f11289]) ).
fof(f11289,plain,
( spl96_756
<=> ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_756])]) ).
fof(f1506,plain,
( spl96_98
<=> ! [X0] :
( sP33(X0,sK74(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_98])]) ).
fof(f2447,plain,
( spl96_230
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_230])]) ).
fof(f2511,plain,
( ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_98
| ~ spl96_230 ),
inference(resolution,[],[f2448,f1507]) ).
fof(f1507,plain,
( ! [X0] :
( sP33(X0,sK74(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_98 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f2448,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ spl96_230 ),
inference(avatar_component_clause,[],[f2447]) ).
fof(f11287,plain,
( spl96_755
| ~ spl96_77
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2190,f2139,f1392,f11285]) ).
fof(f11285,plain,
( spl96_755
<=> ! [X0,X1] :
( sP15(sK75(X0),X1)
| ~ aSet0(X1)
| sP16(sK75(X0),X1)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_755])]) ).
fof(f2190,plain,
( ! [X0,X1] :
( sP15(sK75(X0),X1)
| ~ aSet0(X1)
| sP16(sK75(X0),X1)
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1393]) ).
fof(f11283,plain,
( spl96_754
| ~ spl96_77
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2162,f2123,f1392,f11281]) ).
fof(f11281,plain,
( spl96_754
<=> ! [X0] :
( sdtlpdtrp0(xe,sK75(X0)) = szmzizndt0(sdtlpdtrp0(xN,sK75(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_754])]) ).
fof(f2162,plain,
( ! [X0] :
( sdtlpdtrp0(xe,sK75(X0)) = szmzizndt0(sdtlpdtrp0(xN,sK75(X0)))
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1393]) ).
fof(f11279,plain,
( spl96_752
| ~ spl96_753
| spl96_496
| ~ spl96_65
| ~ spl96_182 ),
inference(avatar_split_clause,[],[f2106,f2021,f1340,f7124,f11276,f11272]) ).
fof(f11272,plain,
( spl96_752
<=> aSet0(szmzizndt0(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_752])]) ).
fof(f11276,plain,
( spl96_753
<=> aSubsetOf0(szDzozmdt0(xc),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_753])]) ).
fof(f2021,plain,
( spl96_182
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_182])]) ).
fof(f2106,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSet0(szmzizndt0(szDzozmdt0(xc)))
| ~ spl96_65
| ~ spl96_182 ),
inference(resolution,[],[f2022,f1341]) ).
fof(f2022,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_182 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f11269,plain,
( spl96_751
| ~ spl96_488
| ~ spl96_521 ),
inference(avatar_split_clause,[],[f7462,f7435,f6915,f11266]) ).
fof(f11266,plain,
( spl96_751
<=> sP41(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_751])]) ).
fof(f7435,plain,
( spl96_521
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_521])]) ).
fof(f7462,plain,
( sP41(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_488
| ~ spl96_521 ),
inference(resolution,[],[f7436,f6917]) ).
fof(f7436,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(szszuzczcdt0(X0)) )
| ~ spl96_521 ),
inference(avatar_component_clause,[],[f7435]) ).
fof(f11108,plain,
( spl96_750
| ~ spl96_488
| ~ spl96_510 ),
inference(avatar_split_clause,[],[f7290,f7208,f6915,f11105]) ).
fof(f7208,plain,
( spl96_510
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_510])]) ).
fof(f7290,plain,
( sP8(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_488
| ~ spl96_510 ),
inference(resolution,[],[f7209,f6917]) ).
fof(f7209,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(szszuzczcdt0(X0)) )
| ~ spl96_510 ),
inference(avatar_component_clause,[],[f7208]) ).
fof(f11071,plain,
( spl96_749
| ~ spl96_106
| ~ spl96_318 ),
inference(avatar_split_clause,[],[f3709,f3292,f1543,f11069]) ).
fof(f11069,plain,
( spl96_749
<=> ! [X2,X0,X1] :
( aElement0(sK92(X0,X1,X2))
| sP45(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_749])]) ).
fof(f3709,plain,
( ! [X2,X0,X1] :
( aElement0(sK92(X0,X1,X2))
| sP45(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl96_106
| ~ spl96_318 ),
inference(duplicate_literal_removal,[],[f3642]) ).
fof(f3642,plain,
( ! [X2,X0,X1] :
( aElement0(sK92(X0,X1,X2))
| sP45(X0,X1,X2)
| aElement0(sK92(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl96_106
| ~ spl96_318 ),
inference(resolution,[],[f3293,f1544]) ).
fof(f11067,plain,
( spl96_748
| ~ spl96_106
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3636,f3280,f1543,f11065]) ).
fof(f11065,plain,
( spl96_748
<=> ! [X2,X0,X1] :
( aElement0(sK91(X0,X1,X2))
| sP44(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_748])]) ).
fof(f3636,plain,
( ! [X2,X0,X1] :
( aElement0(sK91(X0,X1,X2))
| sP44(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl96_106
| ~ spl96_315 ),
inference(duplicate_literal_removal,[],[f3569]) ).
fof(f3569,plain,
( ! [X2,X0,X1] :
( aElement0(sK91(X0,X1,X2))
| sP44(X0,X1,X2)
| aElement0(sK91(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl96_106
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1544]) ).
fof(f11042,plain,
( ~ spl96_18
| spl96_747
| ~ spl96_26
| ~ spl96_291 ),
inference(avatar_split_clause,[],[f3106,f2921,f1149,f11040,f1109]) ).
fof(f11040,plain,
( spl96_747
<=> ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_747])]) ).
fof(f3106,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) )
| ~ spl96_26
| ~ spl96_291 ),
inference(resolution,[],[f2922,f1150]) ).
fof(f11038,plain,
( spl96_746
| ~ spl96_137
| ~ spl96_280 ),
inference(avatar_split_clause,[],[f3023,f2876,f1752,f11036]) ).
fof(f11036,plain,
( spl96_746
<=> ! [X0] :
( aElementOf0(sK64(X0,sK63(X0)),szDzozmdt0(X0))
| ~ sP19(X0)
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_746])]) ).
fof(f3023,plain,
( ! [X0] :
( aElementOf0(sK64(X0,sK63(X0)),szDzozmdt0(X0))
| ~ sP19(X0)
| ~ sP20(X0) )
| ~ spl96_137
| ~ spl96_280 ),
inference(resolution,[],[f2877,f1753]) ).
fof(f11034,plain,
( spl96_745
| ~ spl96_488
| ~ spl96_509 ),
inference(avatar_split_clause,[],[f7252,f7204,f6915,f11031]) ).
fof(f11031,plain,
( spl96_745
<=> sP11(szszuzczcdt0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_745])]) ).
fof(f7204,plain,
( spl96_509
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_509])]) ).
fof(f7252,plain,
( sP11(szszuzczcdt0(szmzizndt0(xS)))
| ~ spl96_488
| ~ spl96_509 ),
inference(resolution,[],[f7205,f6917]) ).
fof(f7205,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(szszuzczcdt0(X0)) )
| ~ spl96_509 ),
inference(avatar_component_clause,[],[f7204]) ).
fof(f11029,plain,
( spl96_744
| ~ spl96_106
| ~ spl96_235 ),
inference(avatar_split_clause,[],[f2589,f2467,f1543,f11027]) ).
fof(f11027,plain,
( spl96_744
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK83(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_744])]) ).
fof(f2467,plain,
( spl96_235
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK83(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_235])]) ).
fof(f2589,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK83(X1,X0)) )
| ~ spl96_106
| ~ spl96_235 ),
inference(duplicate_literal_removal,[],[f2555]) ).
fof(f2555,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK83(X1,X0))
| ~ aSet0(X0) )
| ~ spl96_106
| ~ spl96_235 ),
inference(resolution,[],[f2468,f1544]) ).
fof(f2468,plain,
( ! [X0,X1] :
( aElementOf0(sK83(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl96_235 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f11018,plain,
( ~ spl96_18
| ~ spl96_15
| spl96_743
| ~ spl96_87
| ~ spl96_234 ),
inference(avatar_split_clause,[],[f2553,f2463,f1433,f11016,f1094,f1109]) ).
fof(f11016,plain,
( spl96_743
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_743])]) ).
fof(f2463,plain,
( spl96_234
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_234])]) ).
fof(f2553,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl96_87
| ~ spl96_234 ),
inference(superposition,[],[f2464,f1435]) ).
fof(f2464,plain,
( ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_234 ),
inference(avatar_component_clause,[],[f2463]) ).
fof(f11014,plain,
( spl96_742
| ~ spl96_152
| ~ spl96_184 ),
inference(avatar_split_clause,[],[f2120,f2029,f1812,f11012]) ).
fof(f11012,plain,
( spl96_742
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_742])]) ).
fof(f1812,plain,
( spl96_152
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_152])]) ).
fof(f2120,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) )
| ~ spl96_152
| ~ spl96_184 ),
inference(resolution,[],[f2030,f1813]) ).
fof(f1813,plain,
( ! [X2,X0,X1,X4] :
( ~ sP45(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl96_152 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f11010,plain,
( spl96_741
| ~ spl96_151
| ~ spl96_183 ),
inference(avatar_split_clause,[],[f2117,f2025,f1808,f11008]) ).
fof(f11008,plain,
( spl96_741
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_741])]) ).
fof(f1808,plain,
( spl96_151
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_151])]) ).
fof(f2117,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) )
| ~ spl96_151
| ~ spl96_183 ),
inference(resolution,[],[f2026,f1809]) ).
fof(f1809,plain,
( ! [X2,X0,X1,X4] :
( ~ sP44(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl96_151 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f11006,plain,
( spl96_740
| ~ spl96_106
| ~ spl96_182 ),
inference(avatar_split_clause,[],[f2093,f2021,f1543,f11004]) ).
fof(f11004,plain,
( spl96_740
<=> ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_740])]) ).
fof(f2093,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) )
| ~ spl96_106
| ~ spl96_182 ),
inference(resolution,[],[f2022,f1544]) ).
fof(f11002,plain,
( spl96_739
| ~ spl96_157
| ~ spl96_181 ),
inference(avatar_split_clause,[],[f2092,f2017,f1835,f11000]) ).
fof(f11000,plain,
( spl96_739
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP47(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_739])]) ).
fof(f2017,plain,
( spl96_181
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_181])]) ).
fof(f2092,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP47(X1,X2) )
| ~ spl96_157
| ~ spl96_181 ),
inference(resolution,[],[f2018,f1836]) ).
fof(f2018,plain,
( ! [X2,X0,X1,X4] :
( ~ sP46(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) )
| ~ spl96_181 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f10998,plain,
( spl96_738
| ~ spl96_107
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2085,f2009,f1547,f10996]) ).
fof(f10996,plain,
( spl96_738
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_738])]) ).
fof(f2085,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl96_107
| ~ spl96_179 ),
inference(resolution,[],[f2010,f1548]) ).
fof(f10994,plain,
( spl96_737
| ~ spl96_107
| ~ spl96_178 ),
inference(avatar_split_clause,[],[f2081,f2005,f1547,f10992]) ).
fof(f10992,plain,
( spl96_737
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK87(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_737])]) ).
fof(f2005,plain,
( spl96_178
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_178])]) ).
fof(f2081,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK87(X0))) )
| ~ spl96_107
| ~ spl96_178 ),
inference(resolution,[],[f2006,f1548]) ).
fof(f2006,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl96_178 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f10990,plain,
( spl96_736
| ~ spl96_82
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2074,f1997,f1413,f10988]) ).
fof(f10988,plain,
( spl96_736
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK84(X0),sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_736])]) ).
fof(f2074,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK84(X0),sK84(X0)) )
| ~ spl96_82
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1414]) ).
fof(f10986,plain,
( spl96_735
| ~ spl96_83
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7174,f6915,f1417,f10983]) ).
fof(f10983,plain,
( spl96_735
<=> sdtlseqdt0(sz00,szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_735])]) ).
fof(f1417,plain,
( spl96_83
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_83])]) ).
fof(f7174,plain,
( sdtlseqdt0(sz00,szmzizndt0(xS))
| ~ spl96_83
| ~ spl96_488 ),
inference(resolution,[],[f6917,f1418]) ).
fof(f1418,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl96_83 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f10981,plain,
( spl96_734
| ~ spl96_106
| ~ spl96_168 ),
inference(avatar_split_clause,[],[f2036,f1962,f1543,f10979]) ).
fof(f10979,plain,
( spl96_734
<=> ! [X0] :
( ~ sP10(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_734])]) ).
fof(f2036,plain,
( ! [X0] :
( ~ sP10(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl96_106
| ~ spl96_168 ),
inference(resolution,[],[f1963,f1544]) ).
fof(f10977,plain,
( spl96_733
| ~ spl96_106
| ~ spl96_166 ),
inference(avatar_split_clause,[],[f2032,f1954,f1543,f10975]) ).
fof(f10975,plain,
( spl96_733
<=> ! [X0] :
( ~ sP8(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_733])]) ).
fof(f2032,plain,
( ! [X0] :
( ~ sP8(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl96_106
| ~ spl96_166 ),
inference(resolution,[],[f1955,f1544]) ).
fof(f10973,plain,
( spl96_732
| ~ spl96_129
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1878,f1800,f1683,f10971]) ).
fof(f10971,plain,
( spl96_732
<=> ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP47(X1,sK87(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_732])]) ).
fof(f1878,plain,
( ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP47(X1,sK87(X0))
| ~ aSet0(X1) )
| ~ spl96_129
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1684]) ).
fof(f10969,plain,
( spl96_731
| ~ spl96_127
| ~ spl96_128 ),
inference(avatar_split_clause,[],[f1717,f1679,f1675,f10967]) ).
fof(f10967,plain,
( spl96_731
<=> ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_731])]) ).
fof(f1717,plain,
( ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl96_127
| ~ spl96_128 ),
inference(resolution,[],[f1680,f1676]) ).
fof(f10965,plain,
( spl96_730
| ~ spl96_84
| ~ spl96_105 ),
inference(avatar_split_clause,[],[f1595,f1539,f1421,f10963]) ).
fof(f10963,plain,
( spl96_730
<=> ! [X0,X1] :
( ~ sP33(X0,X1)
| ~ isFinite0(sK72(X0,X1))
| ~ aSet0(sK72(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_730])]) ).
fof(f1539,plain,
( spl96_105
<=> ! [X0,X1] :
( isCountable0(sK72(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_105])]) ).
fof(f1595,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| ~ isFinite0(sK72(X0,X1))
| ~ aSet0(sK72(X0,X1)) )
| ~ spl96_84
| ~ spl96_105 ),
inference(resolution,[],[f1540,f1422]) ).
fof(f1540,plain,
( ! [X0,X1] :
( isCountable0(sK72(X0,X1))
| ~ sP33(X0,X1) )
| ~ spl96_105 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f10511,plain,
( spl96_729
| ~ spl96_81
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7172,f6915,f1409,f10508]) ).
fof(f10508,plain,
( spl96_729
<=> isFinite0(slbdtrb0(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_729])]) ).
fof(f1409,plain,
( spl96_81
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_81])]) ).
fof(f7172,plain,
( isFinite0(slbdtrb0(szmzizndt0(xS)))
| ~ spl96_81
| ~ spl96_488 ),
inference(resolution,[],[f6917,f1410]) ).
fof(f1410,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl96_81 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f10338,plain,
( spl96_728
| ~ spl96_44
| ~ spl96_310 ),
inference(avatar_split_clause,[],[f3439,f3260,f1231,f10336]) ).
fof(f10336,plain,
( spl96_728
<=> ! [X0] :
( aSubsetOf0(sK72(sz00,X0),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP33(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_728])]) ).
fof(f3260,plain,
( spl96_310
<=> ! [X0,X1] :
( aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_310])]) ).
fof(f3439,plain,
( ! [X0] :
( aSubsetOf0(sK72(sz00,X0),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP33(sz00,X0) )
| ~ spl96_44
| ~ spl96_310 ),
inference(superposition,[],[f3261,f1233]) ).
fof(f3261,plain,
( ! [X0,X1] :
( aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) )
| ~ spl96_310 ),
inference(avatar_component_clause,[],[f3260]) ).
fof(f10321,plain,
( spl96_727
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344
| ~ spl96_726 ),
inference(avatar_split_clause,[],[f10284,f10281,f4063,f1273,f1231,f10319]) ).
fof(f10319,plain,
( spl96_727
<=> ! [X0] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP28(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_727])]) ).
fof(f1273,plain,
( spl96_51
<=> sP8(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_51])]) ).
fof(f4063,plain,
( spl96_344
<=> ! [X0] :
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_344])]) ).
fof(f10281,plain,
( spl96_726
<=> ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP28(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_726])]) ).
fof(f10284,plain,
( ! [X0] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP28(sz00,X0) )
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344
| ~ spl96_726 ),
inference(forward_demodulation,[],[f10282,f4135]) ).
fof(f4135,plain,
( slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344 ),
inference(forward_demodulation,[],[f4130,f1233]) ).
fof(f4130,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(sdtlpdtrp0(xN,sz00))),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl96_51
| ~ spl96_344 ),
inference(resolution,[],[f4064,f1275]) ).
fof(f1275,plain,
( sP8(sz00)
| ~ spl96_51 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f4064,plain,
( ! [X0] :
( ~ sP8(X0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) )
| ~ spl96_344 ),
inference(avatar_component_clause,[],[f4063]) ).
fof(f10282,plain,
( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP28(sz00,X0) )
| ~ spl96_726 ),
inference(avatar_component_clause,[],[f10281]) ).
fof(f10283,plain,
( spl96_726
| ~ spl96_44
| ~ spl96_308 ),
inference(avatar_split_clause,[],[f3433,f3251,f1231,f10281]) ).
fof(f3251,plain,
( spl96_308
<=> ! [X0,X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_308])]) ).
fof(f3433,plain,
( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP28(sz00,X0) )
| ~ spl96_44
| ~ spl96_308 ),
inference(superposition,[],[f3252,f1233]) ).
fof(f3252,plain,
( ! [X0,X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP28(X0,X1) )
| ~ spl96_308 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f10250,plain,
( spl96_725
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344
| ~ spl96_724 ),
inference(avatar_split_clause,[],[f10246,f10243,f4063,f1273,f1231,f10248]) ).
fof(f10248,plain,
( spl96_725
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP15(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_725])]) ).
fof(f10243,plain,
( spl96_724
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP15(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_724])]) ).
fof(f10246,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP15(sz00,X0) )
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344
| ~ spl96_724 ),
inference(forward_demodulation,[],[f10244,f4135]) ).
fof(f10244,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP15(sz00,X0) )
| ~ spl96_724 ),
inference(avatar_component_clause,[],[f10243]) ).
fof(f10245,plain,
( spl96_724
| ~ spl96_44
| ~ spl96_304 ),
inference(avatar_split_clause,[],[f3405,f3235,f1231,f10243]) ).
fof(f3235,plain,
( spl96_304
<=> ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_304])]) ).
fof(f3405,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP15(sz00,X0) )
| ~ spl96_44
| ~ spl96_304 ),
inference(superposition,[],[f3236,f1233]) ).
fof(f3236,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP15(X0,X1) )
| ~ spl96_304 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f10240,plain,
( ~ spl96_722
| spl96_723
| ~ spl96_44
| ~ spl96_303 ),
inference(avatar_split_clause,[],[f3397,f3231,f1231,f10237,f10233]) ).
fof(f10233,plain,
( spl96_722
<=> sP10(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_722])]) ).
fof(f10237,plain,
( spl96_723
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_723])]) ).
fof(f3231,plain,
( spl96_303
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_303])]) ).
fof(f3397,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP10(sz00)
| ~ spl96_44
| ~ spl96_303 ),
inference(superposition,[],[f3232,f1233]) ).
fof(f3232,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) )
| ~ spl96_303 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f10202,plain,
( spl96_721
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344
| ~ spl96_720 ),
inference(avatar_split_clause,[],[f10198,f10195,f4063,f1273,f1231,f10200]) ).
fof(f10200,plain,
( spl96_721
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP4(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_721])]) ).
fof(f10195,plain,
( spl96_720
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP4(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_720])]) ).
fof(f10198,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ sP4(sz00,X0) )
| ~ spl96_44
| ~ spl96_51
| ~ spl96_344
| ~ spl96_720 ),
inference(forward_demodulation,[],[f10196,f4135]) ).
fof(f10196,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP4(sz00,X0) )
| ~ spl96_720 ),
inference(avatar_component_clause,[],[f10195]) ).
fof(f10197,plain,
( spl96_720
| ~ spl96_44
| ~ spl96_302 ),
inference(avatar_split_clause,[],[f3390,f3227,f1231,f10195]) ).
fof(f3227,plain,
( spl96_302
<=> ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_302])]) ).
fof(f3390,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ sP4(sz00,X0) )
| ~ spl96_44
| ~ spl96_302 ),
inference(superposition,[],[f3228,f1233]) ).
fof(f3228,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP4(X0,X1) )
| ~ spl96_302 ),
inference(avatar_component_clause,[],[f3227]) ).
fof(f10187,plain,
( spl96_719
| ~ spl96_22
| ~ spl96_268 ),
inference(avatar_split_clause,[],[f2826,f2807,f1129,f10185]) ).
fof(f10185,plain,
( spl96_719
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xi) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_719])]) ).
fof(f2826,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xi) )
| ~ spl96_22
| ~ spl96_268 ),
inference(resolution,[],[f2808,f1131]) ).
fof(f1131,plain,
( aElementOf0(xi,szNzAzT0)
| ~ spl96_22 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f10183,plain,
( spl96_718
| ~ spl96_23
| ~ spl96_268 ),
inference(avatar_split_clause,[],[f2825,f2807,f1134,f10181]) ).
fof(f10181,plain,
( spl96_718
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_718])]) ).
fof(f2825,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xk) )
| ~ spl96_23
| ~ spl96_268 ),
inference(resolution,[],[f2808,f1136]) ).
fof(f1136,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl96_23 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f10179,plain,
( spl96_717
| ~ spl96_20
| ~ spl96_268 ),
inference(avatar_split_clause,[],[f2824,f2807,f1119,f10177]) ).
fof(f10177,plain,
( spl96_717
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_717])]) ).
fof(f1119,plain,
( spl96_20
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_20])]) ).
fof(f2824,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,xK) )
| ~ spl96_20
| ~ spl96_268 ),
inference(resolution,[],[f2808,f1121]) ).
fof(f1121,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl96_20 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f10175,plain,
( spl96_716
| ~ spl96_25
| ~ spl96_268 ),
inference(avatar_split_clause,[],[f2819,f2807,f1144,f10173]) ).
fof(f10173,plain,
( spl96_716
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_716])]) ).
fof(f2819,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK67(X0),X0)
| ~ aSet0(X0)
| sP24(X0,sz00) )
| ~ spl96_25
| ~ spl96_268 ),
inference(resolution,[],[f2808,f1146]) ).
fof(f1146,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl96_25 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f10171,plain,
( ~ spl96_4
| ~ spl96_17
| spl96_714
| ~ spl96_715
| ~ spl96_27
| ~ spl96_256 ),
inference(avatar_split_clause,[],[f2764,f2700,f1153,f10168,f10164,f1104,f1039]) ).
fof(f10164,plain,
( spl96_714
<=> aElement0(szDzizrdt0(xe)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_714])]) ).
fof(f10168,plain,
( spl96_715
<=> isFinite0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_715])]) ).
fof(f2700,plain,
( spl96_256
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_256])]) ).
fof(f2764,plain,
( ~ isFinite0(sdtlcdtrc0(xe,szNzAzT0))
| aElement0(szDzizrdt0(xe))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xe)
| ~ spl96_27
| ~ spl96_256 ),
inference(superposition,[],[f2701,f1155]) ).
fof(f2701,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_256 ),
inference(avatar_component_clause,[],[f2700]) ).
fof(f10162,plain,
( ~ spl96_6
| ~ spl96_17
| spl96_712
| ~ spl96_713
| ~ spl96_28
| ~ spl96_256 ),
inference(avatar_split_clause,[],[f2763,f2700,f1158,f10159,f10155,f1104,f1049]) ).
fof(f10155,plain,
( spl96_712
<=> aElement0(szDzizrdt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_712])]) ).
fof(f10159,plain,
( spl96_713
<=> isFinite0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_713])]) ).
fof(f2763,plain,
( ~ isFinite0(sdtlcdtrc0(xC,szNzAzT0))
| aElement0(szDzizrdt0(xC))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xC)
| ~ spl96_28
| ~ spl96_256 ),
inference(superposition,[],[f2701,f1160]) ).
fof(f10153,plain,
( ~ spl96_8
| ~ spl96_17
| spl96_710
| ~ spl96_711
| ~ spl96_30
| ~ spl96_256 ),
inference(avatar_split_clause,[],[f2762,f2700,f1168,f10150,f10146,f1104,f1059]) ).
fof(f10146,plain,
( spl96_710
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_710])]) ).
fof(f10150,plain,
( spl96_711
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_711])]) ).
fof(f2762,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xN)
| ~ spl96_30
| ~ spl96_256 ),
inference(superposition,[],[f2701,f1170]) ).
fof(f10144,plain,
( spl96_709
| ~ spl96_44
| ~ spl96_252 ),
inference(avatar_split_clause,[],[f2753,f2683,f1231,f10142]) ).
fof(f10142,plain,
( spl96_709
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP14(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_709])]) ).
fof(f2683,plain,
( spl96_252
<=> ! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_252])]) ).
fof(f2753,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP14(sz00,X1) )
| ~ spl96_44
| ~ spl96_252 ),
inference(superposition,[],[f2684,f1233]) ).
fof(f2684,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X2)
| ~ sP14(X0,X1) )
| ~ spl96_252 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f10140,plain,
( spl96_708
| ~ spl96_44
| ~ spl96_249 ),
inference(avatar_split_clause,[],[f2741,f2671,f1231,f10138]) ).
fof(f10138,plain,
( spl96_708
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP3(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_708])]) ).
fof(f2671,plain,
( spl96_249
<=> ! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_249])]) ).
fof(f2741,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP3(sz00,X1) )
| ~ spl96_44
| ~ spl96_249 ),
inference(superposition,[],[f2672,f1233]) ).
fof(f2672,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X2)
| ~ sP3(X0,X1) )
| ~ spl96_249 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f10133,plain,
( ~ spl96_9
| spl96_707
| ~ spl96_49
| ~ spl96_235 ),
inference(avatar_split_clause,[],[f2588,f2467,f1255,f10131,f1064]) ).
fof(f10131,plain,
( spl96_707
<=> ! [X0] :
( aSubsetOf0(xO,X0)
| sP34(sK83(X0,xO))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_707])]) ).
fof(f2588,plain,
( ! [X0] :
( aSubsetOf0(xO,X0)
| ~ aSet0(xO)
| ~ aSet0(X0)
| sP34(sK83(X0,xO)) )
| ~ spl96_49
| ~ spl96_235 ),
inference(resolution,[],[f2468,f1256]) ).
fof(f10124,plain,
( ~ spl96_11
| spl96_706
| ~ spl96_32
| ~ spl96_233 ),
inference(avatar_split_clause,[],[f2527,f2459,f1178,f10121,f1074]) ).
fof(f10121,plain,
( spl96_706
<=> xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_706])]) ).
fof(f2527,plain,
( xT = sdtpldt0(sdtmndt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd))
| ~ aSet0(xT)
| ~ spl96_32
| ~ spl96_233 ),
inference(resolution,[],[f2460,f1180]) ).
fof(f10119,plain,
( spl96_705
| ~ spl96_187
| ~ spl96_219 ),
inference(avatar_split_clause,[],[f2401,f2365,f2131,f10117]) ).
fof(f10117,plain,
( spl96_705
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK49(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_705])]) ).
fof(f2131,plain,
( spl96_187
<=> ! [X1] :
( aElementOf0(sK49(X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_187])]) ).
fof(f2401,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK49(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) )
| ~ spl96_187
| ~ spl96_219 ),
inference(resolution,[],[f2366,f2132]) ).
fof(f2132,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK49(X1),szDzozmdt0(xc)) )
| ~ spl96_187 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f10115,plain,
( spl96_704
| ~ spl96_98
| ~ spl96_206 ),
inference(avatar_split_clause,[],[f2315,f2262,f1506,f10113]) ).
fof(f10113,plain,
( spl96_704
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_704])]) ).
fof(f2262,plain,
( spl96_206
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_206])]) ).
fof(f2315,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_98
| ~ spl96_206 ),
inference(resolution,[],[f2263,f1507]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ spl96_206 ),
inference(avatar_component_clause,[],[f2262]) ).
fof(f10111,plain,
( spl96_703
| ~ spl96_166
| ~ spl96_188 ),
inference(avatar_split_clause,[],[f2174,f2135,f1954,f10109]) ).
fof(f10109,plain,
( spl96_703
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_703])]) ).
fof(f2135,plain,
( spl96_188
<=> ! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_188])]) ).
fof(f2174,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP8(X0) )
| ~ spl96_166
| ~ spl96_188 ),
inference(resolution,[],[f2136,f1955]) ).
fof(f2136,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_188 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f10107,plain,
( spl96_702
| ~ spl96_168
| ~ spl96_188 ),
inference(avatar_split_clause,[],[f2173,f2135,f1962,f10105]) ).
fof(f10105,plain,
( spl96_702
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_702])]) ).
fof(f2173,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP10(X0) )
| ~ spl96_168
| ~ spl96_188 ),
inference(resolution,[],[f2136,f1963]) ).
fof(f10073,plain,
( ~ spl96_45
| spl96_701
| ~ spl96_106
| ~ spl96_162 ),
inference(avatar_split_clause,[],[f1939,f1922,f1543,f10071,f1236]) ).
fof(f10071,plain,
( spl96_701
<=> ! [X0] :
( ~ aElementOf0(X0,xO)
| aElement0(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_701])]) ).
fof(f1922,plain,
( spl96_162
<=> ! [X0] :
( aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_162])]) ).
fof(f1939,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElement0(sK55(X0))
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ spl96_106
| ~ spl96_162 ),
inference(resolution,[],[f1923,f1544]) ).
fof(f1923,plain,
( ! [X0] :
( aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) )
| ~ spl96_162 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f10068,plain,
( spl96_699
| ~ spl96_700
| spl96_496
| ~ spl96_65
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1892,f1804,f1340,f7124,f10065,f10061]) ).
fof(f10061,plain,
( spl96_699
<=> aSet0(sK89(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_699])]) ).
fof(f1892,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| aSet0(sK89(szDzozmdt0(xc)))
| ~ spl96_65
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1341]) ).
fof(f10059,plain,
( spl96_698
| ~ spl96_84
| ~ spl96_93 ),
inference(avatar_split_clause,[],[f1510,f1485,f1421,f10057]) ).
fof(f10057,plain,
( spl96_698
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_698])]) ).
fof(f1485,plain,
( spl96_93
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_93])]) ).
fof(f1510,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl96_84
| ~ spl96_93 ),
inference(resolution,[],[f1486,f1422]) ).
fof(f1486,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_93 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f9697,plain,
( spl96_697
| ~ spl96_34
| ~ spl96_511 ),
inference(avatar_split_clause,[],[f9336,f7212,f1188,f9694]) ).
fof(f9694,plain,
( spl96_697
<=> sP5(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_697])]) ).
fof(f7212,plain,
( spl96_511
<=> sP8(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_511])]) ).
fof(f9336,plain,
( sP5(szmzizndt0(xS))
| ~ spl96_34
| ~ spl96_511 ),
inference(resolution,[],[f7214,f1189]) ).
fof(f7214,plain,
( sP8(szmzizndt0(xS))
| ~ spl96_511 ),
inference(avatar_component_clause,[],[f7212]) ).
fof(f9652,plain,
( spl96_696
| ~ spl96_341 ),
inference(avatar_split_clause,[],[f4042,f3827,f9650]) ).
fof(f9650,plain,
( spl96_696
<=> ! [X0,X1] :
( aElementOf0(sK92(X0,X1,X1),X1)
| sP45(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_696])]) ).
fof(f3827,plain,
( spl96_341
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElementOf0(sK92(X0,X1,X2),X1)
| aElementOf0(sK92(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_341])]) ).
fof(f4042,plain,
( ! [X0,X1] :
( aElementOf0(sK92(X0,X1,X1),X1)
| sP45(X0,X1,X1) )
| ~ spl96_341 ),
inference(factoring,[],[f3828]) ).
fof(f3828,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK92(X0,X1,X2),X2)
| aElementOf0(sK92(X0,X1,X2),X1)
| sP45(X0,X1,X2) )
| ~ spl96_341 ),
inference(avatar_component_clause,[],[f3827]) ).
fof(f9648,plain,
( spl96_695
| ~ spl96_26
| ~ spl96_341 ),
inference(avatar_split_clause,[],[f3984,f3827,f1149,f9646]) ).
fof(f9646,plain,
( spl96_695
<=> ! [X0,X1] :
( aElementOf0(sK92(X0,slcrc0,X1),X1)
| sP45(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_695])]) ).
fof(f3984,plain,
( ! [X0,X1] :
( aElementOf0(sK92(X0,slcrc0,X1),X1)
| sP45(X0,slcrc0,X1) )
| ~ spl96_26
| ~ spl96_341 ),
inference(resolution,[],[f3828,f1150]) ).
fof(f9644,plain,
( spl96_694
| ~ spl96_26
| ~ spl96_341 ),
inference(avatar_split_clause,[],[f3923,f3827,f1149,f9642]) ).
fof(f9642,plain,
( spl96_694
<=> ! [X0,X1] :
( aElementOf0(sK92(X0,X1,slcrc0),X1)
| sP45(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_694])]) ).
fof(f3923,plain,
( ! [X0,X1] :
( aElementOf0(sK92(X0,X1,slcrc0),X1)
| sP45(X0,X1,slcrc0) )
| ~ spl96_26
| ~ spl96_341 ),
inference(resolution,[],[f3828,f1150]) ).
fof(f9640,plain,
( spl96_693
| ~ spl96_87
| ~ spl96_212 ),
inference(avatar_split_clause,[],[f2347,f2297,f1433,f9638]) ).
fof(f9638,plain,
( spl96_693
<=> ! [X0,X1] :
( ~ sP46(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_693])]) ).
fof(f2347,plain,
( ! [X0,X1] :
( ~ sP46(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl96_87
| ~ spl96_212 ),
inference(superposition,[],[f2298,f1435]) ).
fof(f9636,plain,
( spl96_692
| ~ spl96_88
| ~ spl96_177 ),
inference(avatar_split_clause,[],[f2079,f2001,f1439,f9634]) ).
fof(f9634,plain,
( spl96_692
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP41(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_692])]) ).
fof(f1439,plain,
( spl96_88
<=> ! [X0] :
( sP40(X0,slbdtrb0(X0))
| ~ sP41(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_88])]) ).
fof(f2001,plain,
( spl96_177
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_177])]) ).
fof(f2079,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP41(X1) )
| ~ spl96_88
| ~ spl96_177 ),
inference(resolution,[],[f2002,f1440]) ).
fof(f1440,plain,
( ! [X0] :
( sP40(X0,slbdtrb0(X0))
| ~ sP41(X0) )
| ~ spl96_88 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f2002,plain,
( ! [X3,X0,X1] :
( ~ sP40(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ spl96_177 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f9632,plain,
( spl96_691
| ~ spl96_83
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2075,f1997,f1417,f9630]) ).
fof(f9630,plain,
( spl96_691
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK84(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_691])]) ).
fof(f2075,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK84(X0)) )
| ~ spl96_83
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1418]) ).
fof(f9628,plain,
( spl96_690
| ~ spl96_81
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2073,f1997,f1409,f9626]) ).
fof(f9626,plain,
( spl96_690
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK84(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_690])]) ).
fof(f2073,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK84(X0))) )
| ~ spl96_81
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1410]) ).
fof(f9624,plain,
( spl96_689
| ~ spl96_72
| ~ spl96_167 ),
inference(avatar_split_clause,[],[f2034,f1958,f1372,f9622]) ).
fof(f9622,plain,
( spl96_689
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_689])]) ).
fof(f1372,plain,
( spl96_72
<=> ! [X0,X1] :
( sP2(X1,X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_72])]) ).
fof(f1958,plain,
( spl96_167
<=> ! [X0,X1] :
( sP3(X0,X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_167])]) ).
fof(f2034,plain,
( ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP2(X1,X0) )
| ~ spl96_72
| ~ spl96_167 ),
inference(resolution,[],[f1959,f1373]) ).
fof(f1373,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| sP2(X1,X0) )
| ~ spl96_72 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1959,plain,
( ! [X0,X1] :
( sP4(X0,X1)
| sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) )
| ~ spl96_167 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f9620,plain,
( spl96_688
| ~ spl96_82
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1875,f1800,f1413,f9618]) ).
fof(f9618,plain,
( spl96_688
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK87(X0),sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_688])]) ).
fof(f1875,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK87(X0),sK87(X0)) )
| ~ spl96_82
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1414]) ).
fof(f9616,plain,
( spl96_687
| ~ spl96_35
| ~ spl96_511 ),
inference(avatar_split_clause,[],[f9335,f7212,f1192,f9613]) ).
fof(f9613,plain,
( spl96_687
<=> sP6(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_687])]) ).
fof(f9335,plain,
( sP6(szmzizndt0(xS))
| ~ spl96_35
| ~ spl96_511 ),
inference(resolution,[],[f7214,f1193]) ).
fof(f9611,plain,
( spl96_686
| ~ spl96_106
| ~ spl96_137 ),
inference(avatar_split_clause,[],[f1839,f1752,f1543,f9609]) ).
fof(f9609,plain,
( spl96_686
<=> ! [X0] :
( ~ sP20(X0)
| aElement0(sK63(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_686])]) ).
fof(f1839,plain,
( ! [X0] :
( ~ sP20(X0)
| aElement0(sK63(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ spl96_106
| ~ spl96_137 ),
inference(resolution,[],[f1753,f1544]) ).
fof(f9607,plain,
( spl96_685
| ~ spl96_127
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1725,f1683,f1675,f9605]) ).
fof(f9605,plain,
( spl96_685
<=> ! [X0,X1] :
( sP47(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_685])]) ).
fof(f1725,plain,
( ! [X0,X1] :
( sP47(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl96_127
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1676]) ).
fof(f9603,plain,
( spl96_684
| ~ spl96_112
| ~ spl96_128 ),
inference(avatar_split_clause,[],[f1716,f1679,f1570,f9601]) ).
fof(f9601,plain,
( spl96_684
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_684])]) ).
fof(f1716,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_112
| ~ spl96_128 ),
inference(resolution,[],[f1680,f1571]) ).
fof(f9553,plain,
( ~ spl96_4
| spl96_683
| ~ spl96_22
| ~ spl96_27
| ~ spl96_46
| ~ spl96_289 ),
inference(avatar_split_clause,[],[f3099,f2913,f1241,f1153,f1129,f9550,f1039]) ).
fof(f9550,plain,
( spl96_683
<=> aElementOf0(xx,sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_683])]) ).
fof(f1241,plain,
( spl96_46
<=> xx = sdtlpdtrp0(xe,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_46])]) ).
fof(f3099,plain,
( ~ aElementOf0(xi,szNzAzT0)
| aElementOf0(xx,sdtlcdtrc0(xe,szNzAzT0))
| ~ aFunction0(xe)
| ~ spl96_27
| ~ spl96_46
| ~ spl96_289 ),
inference(forward_demodulation,[],[f3098,f1155]) ).
fof(f3098,plain,
( aElementOf0(xx,sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(xi,szDzozmdt0(xe))
| ~ aFunction0(xe)
| ~ spl96_27
| ~ spl96_46
| ~ spl96_289 ),
inference(forward_demodulation,[],[f3090,f1155]) ).
fof(f3090,plain,
( aElementOf0(xx,sdtlcdtrc0(xe,szDzozmdt0(xe)))
| ~ aElementOf0(xi,szDzozmdt0(xe))
| ~ aFunction0(xe)
| ~ spl96_46
| ~ spl96_289 ),
inference(superposition,[],[f2914,f1243]) ).
fof(f1243,plain,
( xx = sdtlpdtrp0(xe,xi)
| ~ spl96_46 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f9545,plain,
( ~ spl96_8
| spl96_682
| ~ spl96_25
| ~ spl96_30
| ~ spl96_44
| ~ spl96_289 ),
inference(avatar_split_clause,[],[f3097,f2913,f1231,f1168,f1144,f9542,f1059]) ).
fof(f9542,plain,
( spl96_682
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_682])]) ).
fof(f3097,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aFunction0(xN)
| ~ spl96_30
| ~ spl96_44
| ~ spl96_289 ),
inference(forward_demodulation,[],[f3096,f1170]) ).
fof(f3096,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl96_30
| ~ spl96_44
| ~ spl96_289 ),
inference(forward_demodulation,[],[f3089,f1170]) ).
fof(f3089,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szDzozmdt0(xN)))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl96_44
| ~ spl96_289 ),
inference(superposition,[],[f2914,f1233]) ).
fof(f9540,plain,
( spl96_681
| ~ spl96_36
| ~ spl96_511 ),
inference(avatar_split_clause,[],[f9334,f7212,f1196,f9537]) ).
fof(f9537,plain,
( spl96_681
<=> sP7(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_681])]) ).
fof(f9334,plain,
( sP7(szmzizndt0(xS))
| ~ spl96_36
| ~ spl96_511 ),
inference(resolution,[],[f7214,f1197]) ).
fof(f9535,plain,
( ~ spl96_680
| spl96_675
| ~ spl96_44
| ~ spl96_287 ),
inference(avatar_split_clause,[],[f3081,f2905,f1231,f9508,f9532]) ).
fof(f9532,plain,
( spl96_680
<=> sP31(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_680])]) ).
fof(f9508,plain,
( spl96_675
<=> ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_675])]) ).
fof(f3081,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP31(sz00) )
| ~ spl96_44
| ~ spl96_287 ),
inference(superposition,[],[f2906,f1233]) ).
fof(f9530,plain,
( ~ spl96_679
| spl96_675
| ~ spl96_44
| ~ spl96_284 ),
inference(avatar_split_clause,[],[f3064,f2892,f1231,f9508,f9527]) ).
fof(f9527,plain,
( spl96_679
<=> sP25(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_679])]) ).
fof(f3064,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP25(sz00) )
| ~ spl96_44
| ~ spl96_284 ),
inference(superposition,[],[f2893,f1233]) ).
fof(f9525,plain,
( ~ spl96_678
| spl96_675
| ~ spl96_44
| ~ spl96_283 ),
inference(avatar_split_clause,[],[f3058,f2888,f1231,f9508,f9522]) ).
fof(f9522,plain,
( spl96_678
<=> sP27(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_678])]) ).
fof(f3058,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP27(sz00) )
| ~ spl96_44
| ~ spl96_283 ),
inference(superposition,[],[f2889,f1233]) ).
fof(f9520,plain,
( ~ spl96_677
| spl96_675
| ~ spl96_44
| ~ spl96_278 ),
inference(avatar_split_clause,[],[f3019,f2868,f1231,f9508,f9517]) ).
fof(f9517,plain,
( spl96_677
<=> sP12(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_677])]) ).
fof(f3019,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP12(sz00) )
| ~ spl96_44
| ~ spl96_278 ),
inference(superposition,[],[f2869,f1233]) ).
fof(f9515,plain,
( ~ spl96_676
| spl96_675
| ~ spl96_44
| ~ spl96_273 ),
inference(avatar_split_clause,[],[f2985,f2847,f1231,f9508,f9512]) ).
fof(f9512,plain,
( spl96_676
<=> sP9(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_676])]) ).
fof(f2985,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP9(sz00) )
| ~ spl96_44
| ~ spl96_273 ),
inference(superposition,[],[f2848,f1233]) ).
fof(f9510,plain,
( ~ spl96_674
| spl96_675
| ~ spl96_44
| ~ spl96_272 ),
inference(avatar_split_clause,[],[f2979,f2843,f1231,f9508,f9504]) ).
fof(f9504,plain,
( spl96_674
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_674])]) ).
fof(f2979,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP1(sz00) )
| ~ spl96_44
| ~ spl96_272 ),
inference(superposition,[],[f2844,f1233]) ).
fof(f9501,plain,
( spl96_673
| ~ spl96_463
| ~ spl96_27
| ~ spl96_47
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2793,f2728,f1246,f1153,f6696,f9499]) ).
fof(f9499,plain,
( spl96_673
<=> ! [X0] :
( ~ sP42(xx,xe,X0)
| aElementOf0(sK57,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_673])]) ).
fof(f6696,plain,
( spl96_463
<=> aElementOf0(sK57,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_463])]) ).
fof(f1246,plain,
( spl96_47
<=> xx = sdtlpdtrp0(xe,sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_47])]) ).
fof(f2728,plain,
( spl96_263
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP42(sdtlpdtrp0(X1,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_263])]) ).
fof(f2793,plain,
( ! [X0] :
( ~ aElementOf0(sK57,szNzAzT0)
| ~ sP42(xx,xe,X0)
| aElementOf0(sK57,X0) )
| ~ spl96_27
| ~ spl96_47
| ~ spl96_263 ),
inference(forward_demodulation,[],[f2790,f1155]) ).
fof(f2790,plain,
( ! [X0] :
( ~ sP42(xx,xe,X0)
| ~ aElementOf0(sK57,szDzozmdt0(xe))
| aElementOf0(sK57,X0) )
| ~ spl96_47
| ~ spl96_263 ),
inference(superposition,[],[f2729,f1248]) ).
fof(f1248,plain,
( xx = sdtlpdtrp0(xe,sK57)
| ~ spl96_47 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f2729,plain,
( ! [X2,X1,X4] :
( ~ sP42(sdtlpdtrp0(X1,X4),X1,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| aElementOf0(X4,X2) )
| ~ spl96_263 ),
inference(avatar_component_clause,[],[f2728]) ).
fof(f9496,plain,
( spl96_672
| ~ spl96_22
| ~ spl96_27
| ~ spl96_46
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2792,f2728,f1241,f1153,f1129,f9494]) ).
fof(f9494,plain,
( spl96_672
<=> ! [X0] :
( ~ sP42(xx,xe,X0)
| aElementOf0(xi,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_672])]) ).
fof(f2792,plain,
( ! [X0] :
( ~ aElementOf0(xi,szNzAzT0)
| ~ sP42(xx,xe,X0)
| aElementOf0(xi,X0) )
| ~ spl96_27
| ~ spl96_46
| ~ spl96_263 ),
inference(forward_demodulation,[],[f2789,f1155]) ).
fof(f2789,plain,
( ! [X0] :
( ~ sP42(xx,xe,X0)
| ~ aElementOf0(xi,szDzozmdt0(xe))
| aElementOf0(xi,X0) )
| ~ spl96_46
| ~ spl96_263 ),
inference(superposition,[],[f2729,f1243]) ).
fof(f9491,plain,
( spl96_671
| ~ spl96_25
| ~ spl96_30
| ~ spl96_44
| ~ spl96_263 ),
inference(avatar_split_clause,[],[f2791,f2728,f1231,f1168,f1144,f9489]) ).
fof(f9489,plain,
( spl96_671
<=> ! [X0] :
( ~ sP42(xS,xN,X0)
| aElementOf0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_671])]) ).
fof(f2791,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sP42(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl96_30
| ~ spl96_44
| ~ spl96_263 ),
inference(forward_demodulation,[],[f2788,f1170]) ).
fof(f2788,plain,
( ! [X0] :
( ~ sP42(xS,xN,X0)
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| aElementOf0(sz00,X0) )
| ~ spl96_44
| ~ spl96_263 ),
inference(superposition,[],[f2729,f1233]) ).
fof(f9487,plain,
( spl96_670
| ~ spl96_160
| ~ spl96_246 ),
inference(avatar_split_clause,[],[f2659,f2642,f1914,f9485]) ).
fof(f9485,plain,
( spl96_670
<=> ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_670])]) ).
fof(f2642,plain,
( spl96_246
<=> ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_246])]) ).
fof(f2659,plain,
( ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_246 ),
inference(duplicate_literal_removal,[],[f2653]) ).
fof(f2653,plain,
( ! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_246 ),
inference(resolution,[],[f2643,f1915]) ).
fof(f2643,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_246 ),
inference(avatar_component_clause,[],[f2642]) ).
fof(f9483,plain,
( spl96_669
| ~ spl96_44
| ~ spl96_220 ),
inference(avatar_split_clause,[],[f2410,f2369,f1231,f9481]) ).
fof(f9481,plain,
( spl96_669
<=> ! [X0] :
( aElementOf0(sdtpldt0(X0,szmzizndt0(xS)),szDzozmdt0(xc))
| ~ sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_669])]) ).
fof(f2369,plain,
( spl96_220
<=> ! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_220])]) ).
fof(f2410,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(X0,szmzizndt0(xS)),szDzozmdt0(xc))
| ~ sP16(sz00,X0) )
| ~ spl96_44
| ~ spl96_220 ),
inference(superposition,[],[f2370,f1233]) ).
fof(f2370,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ sP16(X0,X1) )
| ~ spl96_220 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f9479,plain,
( spl96_668
| ~ spl96_162
| ~ spl96_216 ),
inference(avatar_split_clause,[],[f2382,f2353,f1922,f9477]) ).
fof(f9477,plain,
( spl96_668
<=> ! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK55(X0))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_668])]) ).
fof(f2353,plain,
( spl96_216
<=> ! [X3] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_216])]) ).
fof(f2382,plain,
( ! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK55(X0))
| ~ aElementOf0(X0,xO) )
| ~ spl96_162
| ~ spl96_216 ),
inference(resolution,[],[f2354,f1923]) ).
fof(f2354,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) = sdtlpdtrp0(xd,X3) )
| ~ spl96_216 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f9332,plain,
( spl96_667
| ~ spl96_26
| ~ spl96_318 ),
inference(avatar_split_clause,[],[f3643,f3292,f1149,f9330]) ).
fof(f9330,plain,
( spl96_667
<=> ! [X0,X1] :
( aElement0(sK92(X0,X1,slcrc0))
| sP45(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_667])]) ).
fof(f3643,plain,
( ! [X0,X1] :
( aElement0(sK92(X0,X1,slcrc0))
| sP45(X0,X1,slcrc0) )
| ~ spl96_26
| ~ spl96_318 ),
inference(resolution,[],[f3293,f1150]) ).
fof(f9328,plain,
( spl96_666
| ~ spl96_26
| ~ spl96_315 ),
inference(avatar_split_clause,[],[f3570,f3280,f1149,f9326]) ).
fof(f9326,plain,
( spl96_666
<=> ! [X0,X1] :
( aElement0(sK91(X0,X1,slcrc0))
| sP44(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_666])]) ).
fof(f3570,plain,
( ! [X0,X1] :
( aElement0(sK91(X0,X1,slcrc0))
| sP44(X0,X1,slcrc0) )
| ~ spl96_26
| ~ spl96_315 ),
inference(resolution,[],[f3281,f1150]) ).
fof(f9324,plain,
( spl96_665
| ~ spl96_115
| ~ spl96_184 ),
inference(avatar_split_clause,[],[f2121,f2029,f1582,f9322]) ).
fof(f9322,plain,
( spl96_665
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_665])]) ).
fof(f1582,plain,
( spl96_115
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP45(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_115])]) ).
fof(f2121,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl96_115
| ~ spl96_184 ),
inference(resolution,[],[f2030,f1583]) ).
fof(f1583,plain,
( ! [X2,X1,X4] :
( ~ sP45(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl96_115 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f9320,plain,
( spl96_664
| ~ spl96_156
| ~ spl96_183 ),
inference(avatar_split_clause,[],[f2118,f2025,f1828,f9318]) ).
fof(f9318,plain,
( spl96_664
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_664])]) ).
fof(f1828,plain,
( spl96_156
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP44(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_156])]) ).
fof(f2118,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl96_156
| ~ spl96_183 ),
inference(duplicate_literal_removal,[],[f2116]) ).
fof(f2116,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl96_156
| ~ spl96_183 ),
inference(resolution,[],[f2026,f1829]) ).
fof(f1829,plain,
( ! [X2,X1,X4] :
( ~ sP44(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl96_156 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f9316,plain,
( spl96_663
| ~ spl96_144
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2091,f2009,f1780,f9314]) ).
fof(f9314,plain,
( spl96_663
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP39(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_663])]) ).
fof(f1780,plain,
( spl96_144
<=> ! [X0,X1] :
( sP39(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_144])]) ).
fof(f2091,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP39(sdtlbdtrb0(X1,X0),X1) )
| ~ spl96_144
| ~ spl96_179 ),
inference(duplicate_literal_removal,[],[f2082]) ).
fof(f2082,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP39(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl96_144
| ~ spl96_179 ),
inference(resolution,[],[f2010,f1781]) ).
fof(f1781,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP39(X1,X0)
| ~ aFunction0(X0) )
| ~ spl96_144 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f9312,plain,
( spl96_662
| ~ spl96_143
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2090,f2009,f1776,f9310]) ).
fof(f9310,plain,
( spl96_662
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP37(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_662])]) ).
fof(f1776,plain,
( spl96_143
<=> ! [X0,X1] :
( sP37(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_143])]) ).
fof(f2090,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP37(sdtlbdtrb0(X1,X0),X1) )
| ~ spl96_143
| ~ spl96_179 ),
inference(duplicate_literal_removal,[],[f2083]) ).
fof(f2083,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP37(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl96_143
| ~ spl96_179 ),
inference(resolution,[],[f2010,f1777]) ).
fof(f1777,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP37(X1,X0)
| ~ aFunction0(X0) )
| ~ spl96_143 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f9308,plain,
( spl96_661
| ~ spl96_63
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2072,f1997,f1323,f9306]) ).
fof(f2072,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP41(sK84(X0)) )
| ~ spl96_63
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1324]) ).
fof(f9304,plain,
( spl96_660
| ~ spl96_106
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2061,f1970,f1543,f9302]) ).
fof(f9302,plain,
( spl96_660
<=> ! [X0,X1] :
( ~ aSet0(X0)
| ~ sP26(X1,X0)
| aElement0(sK68(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_660])]) ).
fof(f2061,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| ~ sP26(X1,X0)
| aElement0(sK68(X1,X0)) )
| ~ spl96_106
| ~ spl96_170 ),
inference(duplicate_literal_removal,[],[f2039]) ).
fof(f2039,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| ~ sP26(X1,X0)
| aElement0(sK68(X1,X0))
| ~ aSet0(X0) )
| ~ spl96_106
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1544]) ).
fof(f9300,plain,
( spl96_659
| ~ spl96_53
| ~ spl96_167 ),
inference(avatar_split_clause,[],[f2035,f1958,f1282,f9298]) ).
fof(f9298,plain,
( spl96_659
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_659])]) ).
fof(f1282,plain,
( spl96_53
<=> ! [X0,X1] :
( sP1(X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_53])]) ).
fof(f2035,plain,
( ! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0)
| sP1(X0) )
| ~ spl96_53
| ~ spl96_167 ),
inference(resolution,[],[f1959,f1283]) ).
fof(f1283,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| sP1(X0) )
| ~ spl96_53 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f9296,plain,
( spl96_658
| ~ spl96_125
| ~ spl96_153 ),
inference(avatar_split_clause,[],[f1901,f1816,f1667,f9294]) ).
fof(f9294,plain,
( spl96_658
<=> ! [X0,X1] :
( ~ sP37(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_658])]) ).
fof(f1667,plain,
( spl96_125
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP36(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_125])]) ).
fof(f1816,plain,
( spl96_153
<=> ! [X0,X1] :
( sP36(sdtexdt0(X1,X0),X1,X0)
| ~ sP37(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_153])]) ).
fof(f1901,plain,
( ! [X0,X1] :
( ~ sP37(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 )
| ~ spl96_125
| ~ spl96_153 ),
inference(resolution,[],[f1817,f1668]) ).
fof(f1668,plain,
( ! [X2,X0,X1] :
( ~ sP36(X0,X1,X2)
| szDzozmdt0(X0) = X2 )
| ~ spl96_125 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1817,plain,
( ! [X0,X1] :
( sP36(sdtexdt0(X1,X0),X1,X0)
| ~ sP37(X0,X1) )
| ~ spl96_153 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f9292,plain,
( spl96_657
| ~ spl96_480
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7182,f6915,f6869,f9289]) ).
fof(f9289,plain,
( spl96_657
<=> sP31(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_657])]) ).
fof(f6869,plain,
( spl96_480
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_480])]) ).
fof(f7182,plain,
( sP31(szmzizndt0(xS))
| ~ spl96_480
| ~ spl96_488 ),
inference(resolution,[],[f6917,f6870]) ).
fof(f6870,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP31(X0) )
| ~ spl96_480 ),
inference(avatar_component_clause,[],[f6869]) ).
fof(f9287,plain,
( spl96_656
| ~ spl96_83
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1876,f1800,f1417,f9285]) ).
fof(f9285,plain,
( spl96_656
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_656])]) ).
fof(f1876,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK87(X0)) )
| ~ spl96_83
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1418]) ).
fof(f9283,plain,
( spl96_655
| ~ spl96_81
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1874,f1800,f1409,f9281]) ).
fof(f9281,plain,
( spl96_655
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK87(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_655])]) ).
fof(f1874,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK87(X0))) )
| ~ spl96_81
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1410]) ).
fof(f9279,plain,
( spl96_654
| ~ spl96_88
| ~ spl96_147 ),
inference(avatar_split_clause,[],[f1864,f1792,f1439,f9277]) ).
fof(f9277,plain,
( spl96_654
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP41(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_654])]) ).
fof(f1792,plain,
( spl96_147
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_147])]) ).
fof(f1864,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP41(X1) )
| ~ spl96_88
| ~ spl96_147 ),
inference(resolution,[],[f1793,f1440]) ).
fof(f1793,plain,
( ! [X3,X0,X1] :
( ~ sP40(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) )
| ~ spl96_147 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f9275,plain,
( spl96_653
| ~ spl96_60
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1851,f1780,f1310,f9273]) ).
fof(f9273,plain,
( spl96_653
<=> ! [X0] :
( sP39(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_653])]) ).
fof(f1310,plain,
( spl96_60
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_60])]) ).
fof(f1851,plain,
( ! [X0] :
( sP39(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl96_60
| ~ spl96_144 ),
inference(resolution,[],[f1781,f1311]) ).
fof(f1311,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl96_60 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f9271,plain,
( spl96_652
| ~ spl96_60
| ~ spl96_143 ),
inference(avatar_split_clause,[],[f1846,f1776,f1310,f9269]) ).
fof(f9269,plain,
( spl96_652
<=> ! [X0] :
( sP37(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_652])]) ).
fof(f1846,plain,
( ! [X0] :
( sP37(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl96_60
| ~ spl96_143 ),
inference(resolution,[],[f1777,f1311]) ).
fof(f9267,plain,
( spl96_651
| ~ spl96_106
| ~ spl96_132 ),
inference(avatar_split_clause,[],[f1731,f1696,f1543,f9265]) ).
fof(f9265,plain,
( spl96_651
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_651])]) ).
fof(f1696,plain,
( spl96_132
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_132])]) ).
fof(f1731,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl96_106
| ~ spl96_132 ),
inference(resolution,[],[f1697,f1544]) ).
fof(f1697,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl96_132 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f9263,plain,
( spl96_650
| ~ spl96_112
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1724,f1683,f1570,f9261]) ).
fof(f9261,plain,
( spl96_650
<=> ! [X0,X1] :
( sP47(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_650])]) ).
fof(f1724,plain,
( ! [X0,X1] :
( sP47(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl96_112
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1571]) ).
fof(f9259,plain,
( spl96_649
| ~ spl96_77
| ~ spl96_128 ),
inference(avatar_split_clause,[],[f1721,f1679,f1392,f9257]) ).
fof(f9257,plain,
( spl96_649
<=> ! [X0] :
( sK75(X0) = sbrdtbr0(slbdtrb0(sK75(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_649])]) ).
fof(f1721,plain,
( ! [X0] :
( sK75(X0) = sbrdtbr0(slbdtrb0(sK75(X0)))
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_128 ),
inference(resolution,[],[f1680,f1393]) ).
fof(f9255,plain,
( spl96_648
| ~ spl96_82
| ~ spl96_127 ),
inference(avatar_split_clause,[],[f1707,f1675,f1413,f9253]) ).
fof(f9253,plain,
( spl96_648
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_648])]) ).
fof(f1707,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl96_82
| ~ spl96_127 ),
inference(resolution,[],[f1676,f1414]) ).
fof(f9250,plain,
( spl96_473
| ~ spl96_515
| ~ spl96_580 ),
inference(avatar_split_clause,[],[f8091,f8087,f7233,f6837]) ).
fof(f6837,plain,
( spl96_473
<=> aElementOf0(szmzizndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_473])]) ).
fof(f7233,plain,
( spl96_515
<=> sdtlpdtrp0(xe,sz00) = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_515])]) ).
fof(f8087,plain,
( spl96_580
<=> aElementOf0(sdtlpdtrp0(xe,sz00),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_580])]) ).
fof(f8091,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ spl96_515
| ~ spl96_580 ),
inference(forward_demodulation,[],[f8089,f7235]) ).
fof(f7235,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(xS)
| ~ spl96_515 ),
inference(avatar_component_clause,[],[f7233]) ).
fof(f8089,plain,
( aElementOf0(sdtlpdtrp0(xe,sz00),xS)
| ~ spl96_580 ),
inference(avatar_component_clause,[],[f8087]) ).
fof(f9249,plain,
( spl96_647
| ~ spl96_63
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7171,f6915,f1323,f9246]) ).
fof(f9246,plain,
( spl96_647
<=> sP41(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_647])]) ).
fof(f7171,plain,
( sP41(szmzizndt0(xS))
| ~ spl96_63
| ~ spl96_488 ),
inference(resolution,[],[f6917,f1324]) ).
fof(f9053,plain,
( spl96_646
| ~ spl96_48
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7170,f6915,f1251,f9050]) ).
fof(f9050,plain,
( spl96_646
<=> sP11(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_646])]) ).
fof(f7170,plain,
( sP11(szmzizndt0(xS))
| ~ spl96_48
| ~ spl96_488 ),
inference(resolution,[],[f6917,f1252]) ).
fof(f8941,plain,
( ~ spl96_644
| ~ spl96_645
| ~ spl96_44
| ~ spl96_324 ),
inference(avatar_split_clause,[],[f3750,f3316,f1231,f8938,f8934]) ).
fof(f8934,plain,
( spl96_644
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_644])]) ).
fof(f8938,plain,
( spl96_645
<=> aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_645])]) ).
fof(f3750,plain,
( ~ aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP5(sz00)
| ~ spl96_44
| ~ spl96_324 ),
inference(superposition,[],[f3317,f1233]) ).
fof(f8932,plain,
( spl96_643
| ~ spl96_120
| ~ spl96_267 ),
inference(avatar_split_clause,[],[f2818,f2803,f1645,f8930]) ).
fof(f8930,plain,
( spl96_643
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_643])]) ).
fof(f2803,plain,
( spl96_267
<=> ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_267])]) ).
fof(f2818,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_120
| ~ spl96_267 ),
inference(duplicate_literal_removal,[],[f2816]) ).
fof(f2816,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_120
| ~ spl96_267 ),
inference(resolution,[],[f2804,f1646]) ).
fof(f2804,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP10(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_267 ),
inference(avatar_component_clause,[],[f2803]) ).
fof(f8928,plain,
( spl96_642
| ~ spl96_44
| ~ spl96_255 ),
inference(avatar_split_clause,[],[f2761,f2696,f1231,f8926]) ).
fof(f8926,plain,
( spl96_642
<=> ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP28(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_642])]) ).
fof(f2761,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP28(sz00,X0) )
| ~ spl96_44
| ~ spl96_255 ),
inference(superposition,[],[f2697,f1233]) ).
fof(f8924,plain,
( spl96_641
| ~ spl96_44
| ~ spl96_253 ),
inference(avatar_split_clause,[],[f2756,f2687,f1231,f8922]) ).
fof(f8922,plain,
( spl96_641
<=> ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP29(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_641])]) ).
fof(f2756,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP29(sz00,X0) )
| ~ spl96_44
| ~ spl96_253 ),
inference(superposition,[],[f2688,f1233]) ).
fof(f8916,plain,
( ~ spl96_51
| spl96_640
| ~ spl96_44
| ~ spl96_248 ),
inference(avatar_split_clause,[],[f2735,f2667,f1231,f8914,f1273]) ).
fof(f8914,plain,
( spl96_640
<=> ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_640])]) ).
fof(f2667,plain,
( spl96_248
<=> ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_248])]) ).
fof(f2735,plain,
( ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS)
| ~ sP8(sz00) )
| ~ spl96_44
| ~ spl96_248 ),
inference(superposition,[],[f2668,f1233]) ).
fof(f2668,plain,
( ! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) )
| ~ spl96_248 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f8908,plain,
( ~ spl96_9
| spl96_639
| ~ spl96_24
| ~ spl96_233 ),
inference(avatar_split_clause,[],[f2530,f2459,f1139,f8905,f1064]) ).
fof(f8905,plain,
( spl96_639
<=> xO = sdtpldt0(sdtmndt0(xO,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_639])]) ).
fof(f1139,plain,
( spl96_24
<=> aElementOf0(xx,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_24])]) ).
fof(f2530,plain,
( xO = sdtpldt0(sdtmndt0(xO,xx),xx)
| ~ aSet0(xO)
| ~ spl96_24
| ~ spl96_233 ),
inference(resolution,[],[f2460,f1141]) ).
fof(f1141,plain,
( aElementOf0(xx,xO)
| ~ spl96_24 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f8903,plain,
( spl96_638
| ~ spl96_133
| ~ spl96_219 ),
inference(avatar_split_clause,[],[f2402,f2365,f1734,f8901]) ).
fof(f8901,plain,
( spl96_638
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_638])]) ).
fof(f1734,plain,
( spl96_133
<=> ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_133])]) ).
fof(f2402,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) )
| ~ spl96_133
| ~ spl96_219 ),
inference(resolution,[],[f2366,f1735]) ).
fof(f1735,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) )
| ~ spl96_133 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f8899,plain,
( spl96_637
| ~ spl96_22
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2393,f2361,f1129,f8897]) ).
fof(f2393,plain,
( ! [X0] :
( xi = X0
| sP35(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_22
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1131]) ).
fof(f8895,plain,
( spl96_636
| ~ spl96_23
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2392,f2361,f1134,f8893]) ).
fof(f2392,plain,
( ! [X0] :
( xk = X0
| sP35(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_23
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1136]) ).
fof(f8891,plain,
( spl96_635
| ~ spl96_20
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2391,f2361,f1119,f8889]) ).
fof(f2391,plain,
( ! [X0] :
( xK = X0
| sP35(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_20
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1121]) ).
fof(f8887,plain,
( spl96_634
| ~ spl96_25
| ~ spl96_218 ),
inference(avatar_split_clause,[],[f2387,f2361,f1144,f8885]) ).
fof(f2387,plain,
( ! [X0] :
( sz00 = X0
| sP35(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_25
| ~ spl96_218 ),
inference(resolution,[],[f2362,f1146]) ).
fof(f8883,plain,
( spl96_633
| ~ spl96_44
| ~ spl96_199 ),
inference(avatar_split_clause,[],[f2313,f2234,f1231,f8881]) ).
fof(f8881,plain,
( spl96_633
<=> ! [X0] :
( aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_633])]) ).
fof(f2234,plain,
( spl96_199
<=> ! [X0,X1] :
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_199])]) ).
fof(f2313,plain,
( ! [X0] :
( aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ sP16(sz00,X0) )
| ~ spl96_44
| ~ spl96_199 ),
inference(superposition,[],[f2235,f1233]) ).
fof(f2235,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ sP16(X0,X1) )
| ~ spl96_199 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f8879,plain,
( spl96_632
| ~ spl96_162
| ~ spl96_191 ),
inference(avatar_split_clause,[],[f2198,f2147,f1922,f8877]) ).
fof(f8877,plain,
( spl96_632
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK55(X0)),xO)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_632])]) ).
fof(f2147,plain,
( spl96_191
<=> ! [X1] :
( aElementOf0(sdtlpdtrp0(xe,X1),xO)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_191])]) ).
fof(f2198,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK55(X0)),xO)
| ~ aElementOf0(X0,xO) )
| ~ spl96_162
| ~ spl96_191 ),
inference(resolution,[],[f2148,f1923]) ).
fof(f2148,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(sdtlpdtrp0(xe,X1),xO) )
| ~ spl96_191 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f8875,plain,
( spl96_630
| ~ spl96_631
| spl96_574
| ~ spl96_49
| ~ spl96_182 ),
inference(avatar_split_clause,[],[f2115,f2021,f1255,f8009,f8872,f8868]) ).
fof(f8868,plain,
( spl96_630
<=> sP34(szmzizndt0(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_630])]) ).
fof(f8872,plain,
( spl96_631
<=> aSubsetOf0(xO,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_631])]) ).
fof(f2115,plain,
( slcrc0 = xO
| ~ aSubsetOf0(xO,szNzAzT0)
| sP34(szmzizndt0(xO))
| ~ spl96_49
| ~ spl96_182 ),
inference(resolution,[],[f2022,f1256]) ).
fof(f8865,plain,
( spl96_628
| ~ spl96_629
| spl96_571
| ~ spl96_43
| ~ spl96_182 ),
inference(avatar_split_clause,[],[f2095,f2021,f1227,f7926,f8862,f8858]) ).
fof(f8858,plain,
( spl96_628
<=> sP8(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_628])]) ).
fof(f8862,plain,
( spl96_629
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_629])]) ).
fof(f7926,plain,
( spl96_571
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl96_571])]) ).
fof(f2095,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP8(szmzizndt0(szNzAzT0))
| ~ spl96_43
| ~ spl96_182 ),
inference(resolution,[],[f2022,f1228]) ).
fof(f8839,plain,
( ~ spl96_7
| spl96_627
| ~ spl96_29
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2089,f2009,f1163,f8837,f1054]) ).
fof(f8837,plain,
( spl96_627
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_627])]) ).
fof(f2089,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xd) )
| ~ spl96_29
| ~ spl96_179 ),
inference(superposition,[],[f2010,f1165]) ).
fof(f8818,plain,
( ~ spl96_4
| spl96_626
| ~ spl96_27
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2088,f2009,f1153,f8816,f1039]) ).
fof(f8816,plain,
( spl96_626
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xe,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_626])]) ).
fof(f2088,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xe,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xe) )
| ~ spl96_27
| ~ spl96_179 ),
inference(superposition,[],[f2010,f1155]) ).
fof(f8797,plain,
( ~ spl96_6
| spl96_625
| ~ spl96_28
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2087,f2009,f1158,f8795,f1049]) ).
fof(f8795,plain,
( spl96_625
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xC,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_625])]) ).
fof(f2087,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xC,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xC) )
| ~ spl96_28
| ~ spl96_179 ),
inference(superposition,[],[f2010,f1160]) ).
fof(f8776,plain,
( ~ spl96_8
| spl96_624
| ~ spl96_30
| ~ spl96_179 ),
inference(avatar_split_clause,[],[f2086,f2009,f1168,f8774,f1059]) ).
fof(f8774,plain,
( spl96_624
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_624])]) ).
fof(f2086,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) )
| ~ spl96_30
| ~ spl96_179 ),
inference(superposition,[],[f2010,f1170]) ).
fof(f8772,plain,
( spl96_623
| ~ spl96_48
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2071,f1997,f1251,f8770]) ).
fof(f2071,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(sK84(X0)) )
| ~ spl96_48
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1252]) ).
fof(f8768,plain,
( spl96_622
| ~ spl96_43
| ~ spl96_176 ),
inference(avatar_split_clause,[],[f2070,f1997,f1227,f8766]) ).
fof(f2070,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP8(sK84(X0)) )
| ~ spl96_43
| ~ spl96_176 ),
inference(resolution,[],[f1998,f1228]) ).
fof(f8763,plain,
( ~ spl96_7
| spl96_621
| ~ spl96_29
| ~ spl96_175 ),
inference(avatar_split_clause,[],[f2069,f1993,f1163,f8761,f1054]) ).
fof(f8761,plain,
( spl96_621
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_621])]) ).
fof(f1993,plain,
( spl96_175
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_175])]) ).
fof(f2069,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xd,X0))
| ~ aFunction0(xd) )
| ~ spl96_29
| ~ spl96_175 ),
inference(superposition,[],[f1994,f1165]) ).
fof(f1994,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl96_175 ),
inference(avatar_component_clause,[],[f1993]) ).
fof(f8755,plain,
( ~ spl96_4
| spl96_620
| ~ spl96_27
| ~ spl96_175 ),
inference(avatar_split_clause,[],[f2068,f1993,f1153,f8753,f1039]) ).
fof(f8753,plain,
( spl96_620
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_620])]) ).
fof(f2068,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xe,X0))
| ~ aFunction0(xe) )
| ~ spl96_27
| ~ spl96_175 ),
inference(superposition,[],[f1994,f1155]) ).
fof(f8751,plain,
( spl96_619
| ~ spl96_34
| ~ spl96_525 ),
inference(avatar_split_clause,[],[f7556,f7451,f1188,f8748]) ).
fof(f8748,plain,
( spl96_619
<=> sP5(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_619])]) ).
fof(f7451,plain,
( spl96_525
<=> sP8(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_525])]) ).
fof(f7556,plain,
( sP5(szszuzczcdt0(sK48))
| ~ spl96_34
| ~ spl96_525 ),
inference(resolution,[],[f7453,f1189]) ).
fof(f7453,plain,
( sP8(szszuzczcdt0(sK48))
| ~ spl96_525 ),
inference(avatar_component_clause,[],[f7451]) ).
fof(f8746,plain,
( ~ spl96_6
| spl96_618
| ~ spl96_28
| ~ spl96_175 ),
inference(avatar_split_clause,[],[f2067,f1993,f1158,f8744,f1049]) ).
fof(f8744,plain,
( spl96_618
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_618])]) ).
fof(f2067,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xC,X0))
| ~ aFunction0(xC) )
| ~ spl96_28
| ~ spl96_175 ),
inference(superposition,[],[f1994,f1160]) ).
fof(f8740,plain,
( ~ spl96_8
| spl96_617
| ~ spl96_30
| ~ spl96_175 ),
inference(avatar_split_clause,[],[f2066,f1993,f1168,f8738,f1059]) ).
fof(f2066,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl96_30
| ~ spl96_175 ),
inference(superposition,[],[f1994,f1170]) ).
fof(f8734,plain,
( spl96_616
| ~ spl96_9
| ~ spl96_49
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2060,f1970,f1255,f1064,f8732]) ).
fof(f8732,plain,
( spl96_616
<=> ! [X0] :
( ~ sP26(X0,xO)
| sP34(sK68(X0,xO)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_616])]) ).
fof(f2060,plain,
( ! [X0] :
( ~ aSet0(xO)
| ~ sP26(X0,xO)
| sP34(sK68(X0,xO)) )
| ~ spl96_49
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1256]) ).
fof(f8730,plain,
( spl96_615
| ~ spl96_16
| ~ spl96_48
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2042,f1970,f1251,f1099,f8728]) ).
fof(f8728,plain,
( spl96_615
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| sP11(sK68(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_615])]) ).
fof(f2042,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| sP11(sK68(X0,szNzAzT0)) )
| ~ spl96_48
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1252]) ).
fof(f8722,plain,
( spl96_614
| ~ spl96_16
| ~ spl96_43
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2041,f1970,f1227,f1099,f8720]) ).
fof(f8720,plain,
( spl96_614
<=> ! [X0] :
( ~ sP26(X0,szNzAzT0)
| sP8(sK68(X0,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_614])]) ).
fof(f2041,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ sP26(X0,szNzAzT0)
| sP8(sK68(X0,szNzAzT0)) )
| ~ spl96_43
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1228]) ).
fof(f8718,plain,
( spl96_613
| ~ spl96_136
| ~ spl96_164 ),
inference(avatar_split_clause,[],[f1950,f1930,f1746,f8716]) ).
fof(f8716,plain,
( spl96_613
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK56(sdtlpdtrp0(xd,X0)),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_613])]) ).
fof(f1746,plain,
( spl96_136
<=> ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK56(X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_136])]) ).
fof(f1950,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK56(sdtlpdtrp0(xd,X0)),szNzAzT0) )
| ~ spl96_136
| ~ spl96_164 ),
inference(resolution,[],[f1931,f1747]) ).
fof(f1747,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK56(X1),szNzAzT0) )
| ~ spl96_136 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f8712,plain,
( ~ spl96_11
| ~ spl96_12
| spl96_612
| ~ spl96_67
| ~ spl96_148 ),
inference(avatar_split_clause,[],[f1868,f1796,f1349,f8709,f1079,f1074]) ).
fof(f8709,plain,
( spl96_612
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_612])]) ).
fof(f1349,plain,
( spl96_67
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_67])]) ).
fof(f1868,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl96_67
| ~ spl96_148 ),
inference(resolution,[],[f1797,f1351]) ).
fof(f1351,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl96_67 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f8692,plain,
( ~ spl96_26
| ~ spl96_575 ),
inference(avatar_contradiction_clause,[],[f8688]) ).
fof(f8688,plain,
( $false
| ~ spl96_26
| ~ spl96_575 ),
inference(resolution,[],[f8018,f1150]) ).
fof(f8018,plain,
( aElementOf0(sK48,slcrc0)
| ~ spl96_575 ),
inference(avatar_component_clause,[],[f8016]) ).
fof(f8016,plain,
( spl96_575
<=> aElementOf0(sK48,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_575])]) ).
fof(f8656,plain,
( spl96_611
| ~ spl96_253
| ~ spl96_310 ),
inference(avatar_split_clause,[],[f3434,f3260,f2687,f8654]) ).
fof(f8654,plain,
( spl96_611
<=> ! [X0,X1] :
( ~ sP33(X0,X1)
| ~ sP29(X0,sK72(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_611])]) ).
fof(f3434,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| ~ sP29(X0,sK72(X0,X1)) )
| ~ spl96_253
| ~ spl96_310 ),
inference(resolution,[],[f3261,f2688]) ).
fof(f8652,plain,
( spl96_610
| ~ spl96_253
| ~ spl96_303 ),
inference(avatar_split_clause,[],[f3391,f3231,f2687,f8650]) ).
fof(f8650,plain,
( spl96_610
<=> ! [X0] :
( ~ sP10(X0)
| ~ sP29(X0,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_610])]) ).
fof(f3391,plain,
( ! [X0] :
( ~ sP10(X0)
| ~ sP29(X0,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ spl96_253
| ~ spl96_303 ),
inference(resolution,[],[f3232,f2688]) ).
fof(f8648,plain,
( spl96_609
| ~ spl96_106
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1900,f1804,f1543,f8646]) ).
fof(f8646,plain,
( spl96_609
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK89(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_609])]) ).
fof(f1900,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK89(X0)) )
| ~ spl96_106
| ~ spl96_150 ),
inference(duplicate_literal_removal,[],[f1880]) ).
fof(f1880,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK89(X0))
| ~ aSet0(X0) )
| ~ spl96_106
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1544]) ).
fof(f8573,plain,
( spl96_608
| ~ spl96_16
| spl96_571
| ~ spl96_63
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1884,f1804,f1323,f7926,f1099,f8570]) ).
fof(f8570,plain,
( spl96_608
<=> sP41(sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_608])]) ).
fof(f1884,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP41(sK89(szNzAzT0))
| ~ spl96_63
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1324]) ).
fof(f8568,plain,
( spl96_607
| ~ spl96_63
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1873,f1800,f1323,f8566]) ).
fof(f8566,plain,
( spl96_607
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP41(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_607])]) ).
fof(f1873,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP41(sK87(X0)) )
| ~ spl96_63
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1324]) ).
fof(f8564,plain,
( spl96_606
| ~ spl96_197
| ~ spl96_602 ),
inference(avatar_split_clause,[],[f8520,f8505,f2225,f8561]) ).
fof(f8561,plain,
( spl96_606
<=> aElement0(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_606])]) ).
fof(f8520,plain,
( aElement0(szszuzczcdt0(sK48))
| ~ spl96_197
| ~ spl96_602 ),
inference(resolution,[],[f8506,f2227]) ).
fof(f8559,plain,
( spl96_605
| ~ spl96_77
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1729,f1683,f1392,f8557]) ).
fof(f8557,plain,
( spl96_605
<=> ! [X0,X1] :
( sP47(X0,sK75(X1))
| ~ aSet0(X0)
| ~ sP34(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_605])]) ).
fof(f1729,plain,
( ! [X0,X1] :
( sP47(X0,sK75(X1))
| ~ aSet0(X0)
| ~ sP34(X1) )
| ~ spl96_77
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1393]) ).
fof(f8555,plain,
( spl96_604
| ~ spl96_81
| ~ spl96_127 ),
inference(avatar_split_clause,[],[f1708,f1675,f1409,f8553]) ).
fof(f8553,plain,
( spl96_604
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_604])]) ).
fof(f1708,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) )
| ~ spl96_81
| ~ spl96_127 ),
inference(resolution,[],[f1676,f1410]) ).
fof(f8551,plain,
( spl96_603
| ~ spl96_83
| ~ spl96_127 ),
inference(avatar_split_clause,[],[f1706,f1675,f1417,f8549]) ).
fof(f8549,plain,
( spl96_603
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_603])]) ).
fof(f1706,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl96_83
| ~ spl96_127 ),
inference(resolution,[],[f1676,f1418]) ).
fof(f8507,plain,
( ~ spl96_16
| spl96_602
| ~ spl96_106
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1623,f1570,f1543,f8505,f1099]) ).
fof(f1623,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl96_106
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1544]) ).
fof(f8503,plain,
( spl96_601
| ~ spl96_82
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1618,f1570,f1413,f8501]) ).
fof(f8501,plain,
( spl96_601
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_601])]) ).
fof(f1618,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl96_82
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1414]) ).
fof(f8267,plain,
( spl96_600
| ~ spl96_197
| ~ spl96_593 ),
inference(avatar_split_clause,[],[f8159,f8145,f2225,f8264]) ).
fof(f8264,plain,
( spl96_600
<=> sP24(xS,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_600])]) ).
fof(f8159,plain,
( sP24(xS,sK48)
| ~ spl96_197
| ~ spl96_593 ),
inference(resolution,[],[f8146,f2227]) ).
fof(f8262,plain,
( spl96_598
| spl96_599
| ~ spl96_22
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2331,f2281,f1129,f8259,f8255]) ).
fof(f8255,plain,
( spl96_598
<=> xi = szszuzczcdt0(sK84(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_598])]) ).
fof(f8259,plain,
( spl96_599
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl96_599])]) ).
fof(f2331,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK84(xi))
| ~ spl96_22
| ~ spl96_208 ),
inference(resolution,[],[f2282,f1131]) ).
fof(f8228,plain,
( spl96_596
| spl96_597
| ~ spl96_23
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2330,f2281,f1134,f8225,f8221]) ).
fof(f8221,plain,
( spl96_596
<=> xk = szszuzczcdt0(sK84(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_596])]) ).
fof(f8225,plain,
( spl96_597
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl96_597])]) ).
fof(f2330,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK84(xk))
| ~ spl96_23
| ~ spl96_208 ),
inference(resolution,[],[f2282,f1136]) ).
fof(f8194,plain,
( spl96_595
| spl96_19
| ~ spl96_20
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2329,f2281,f1119,f1114,f8191]) ).
fof(f8191,plain,
( spl96_595
<=> xK = szszuzczcdt0(sK84(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_595])]) ).
fof(f2329,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK84(xK))
| ~ spl96_20
| ~ spl96_208 ),
inference(resolution,[],[f2282,f1121]) ).
fof(f8189,plain,
( spl96_594
| ~ spl96_142
| ~ spl96_191 ),
inference(avatar_split_clause,[],[f2201,f2147,f1772,f8187]) ).
fof(f8187,plain,
( spl96_594
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK75(X0)),xO)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_594])]) ).
fof(f1772,plain,
( spl96_142
<=> ! [X0] :
( aElementOf0(sK75(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_142])]) ).
fof(f2201,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,sK75(X0)),xO)
| ~ sP34(X0) )
| ~ spl96_142
| ~ spl96_191 ),
inference(resolution,[],[f2148,f1773]) ).
fof(f1773,plain,
( ! [X0] :
( aElementOf0(sK75(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP34(X0) )
| ~ spl96_142 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f8147,plain,
( spl96_593
| ~ spl96_14
| ~ spl96_21
| ~ spl96_190 ),
inference(avatar_split_clause,[],[f2196,f2143,f1124,f1089,f8145]) ).
fof(f1089,plain,
( spl96_14
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_14])]) ).
fof(f1124,plain,
( spl96_21
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_21])]) ).
fof(f2196,plain,
( ! [X0] :
( ~ isCountable0(xS)
| sP24(xS,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_21
| ~ spl96_190 ),
inference(resolution,[],[f2144,f1126]) ).
fof(f1126,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl96_21 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f8143,plain,
( spl96_592
| ~ spl96_35
| ~ spl96_525 ),
inference(avatar_split_clause,[],[f7555,f7451,f1192,f8140]) ).
fof(f8140,plain,
( spl96_592
<=> sP6(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_592])]) ).
fof(f7555,plain,
( sP6(szszuzczcdt0(sK48))
| ~ spl96_35
| ~ spl96_525 ),
inference(resolution,[],[f7453,f1193]) ).
fof(f8138,plain,
( spl96_591
| ~ spl96_22
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2188,f2139,f1129,f8136]) ).
fof(f8136,plain,
( spl96_591
<=> ! [X0] :
( sP15(xi,X0)
| ~ aSet0(X0)
| sP16(xi,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_591])]) ).
fof(f2188,plain,
( ! [X0] :
( sP15(xi,X0)
| ~ aSet0(X0)
| sP16(xi,X0) )
| ~ spl96_22
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1131]) ).
fof(f8134,plain,
( spl96_590
| ~ spl96_23
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2187,f2139,f1134,f8132]) ).
fof(f8132,plain,
( spl96_590
<=> ! [X0] :
( sP15(xk,X0)
| ~ aSet0(X0)
| sP16(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_590])]) ).
fof(f2187,plain,
( ! [X0] :
( sP15(xk,X0)
| ~ aSet0(X0)
| sP16(xk,X0) )
| ~ spl96_23
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1136]) ).
fof(f8130,plain,
( spl96_589
| ~ spl96_20
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2186,f2139,f1119,f8128]) ).
fof(f8128,plain,
( spl96_589
<=> ! [X0] :
( sP15(xK,X0)
| ~ aSet0(X0)
| sP16(xK,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_589])]) ).
fof(f2186,plain,
( ! [X0] :
( sP15(xK,X0)
| ~ aSet0(X0)
| sP16(xK,X0) )
| ~ spl96_20
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1121]) ).
fof(f8126,plain,
( spl96_588
| ~ spl96_25
| ~ spl96_189 ),
inference(avatar_split_clause,[],[f2182,f2139,f1144,f8124]) ).
fof(f8124,plain,
( spl96_588
<=> ! [X0] :
( sP15(sz00,X0)
| ~ aSet0(X0)
| sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_588])]) ).
fof(f2182,plain,
( ! [X0] :
( sP15(sz00,X0)
| ~ aSet0(X0)
| sP16(sz00,X0) )
| ~ spl96_25
| ~ spl96_189 ),
inference(resolution,[],[f2140,f1146]) ).
fof(f8122,plain,
( spl96_587
| ~ spl96_160
| ~ spl96_188 ),
inference(avatar_split_clause,[],[f2181,f2135,f1914,f8120]) ).
fof(f8120,plain,
( spl96_587
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_587])]) ).
fof(f2181,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_188 ),
inference(duplicate_literal_removal,[],[f2176]) ).
fof(f2176,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_160
| ~ spl96_188 ),
inference(resolution,[],[f2136,f1915]) ).
fof(f8118,plain,
( spl96_586
| ~ spl96_23
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2159,f2123,f1134,f8115]) ).
fof(f8115,plain,
( spl96_586
<=> szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_586])]) ).
fof(f2159,plain,
( szmzizndt0(sdtlpdtrp0(xN,xk)) = sdtlpdtrp0(xe,xk)
| ~ spl96_23
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1136]) ).
fof(f8113,plain,
( spl96_585
| ~ spl96_20
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2158,f2123,f1119,f8110]) ).
fof(f8110,plain,
( spl96_585
<=> szmzizndt0(sdtlpdtrp0(xN,xK)) = sdtlpdtrp0(xe,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_585])]) ).
fof(f2158,plain,
( szmzizndt0(sdtlpdtrp0(xN,xK)) = sdtlpdtrp0(xe,xK)
| ~ spl96_20
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1121]) ).
fof(f8108,plain,
( spl96_584
| ~ spl96_44
| ~ spl96_169 ),
inference(avatar_split_clause,[],[f2038,f1966,f1231,f8106]) ).
fof(f8106,plain,
( spl96_584
<=> ! [X0] :
( aSet0(sdtpldt0(X0,szmzizndt0(xS)))
| ~ sP16(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_584])]) ).
fof(f1966,plain,
( spl96_169
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_169])]) ).
fof(f2038,plain,
( ! [X0] :
( aSet0(sdtpldt0(X0,szmzizndt0(xS)))
| ~ sP16(sz00,X0) )
| ~ spl96_44
| ~ spl96_169 ),
inference(superposition,[],[f1967,f1233]) ).
fof(f1967,plain,
( ! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) )
| ~ spl96_169 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f8104,plain,
( spl96_583
| ~ spl96_121
| ~ spl96_164 ),
inference(avatar_split_clause,[],[f1951,f1930,f1649,f8102]) ).
fof(f8102,plain,
( spl96_583
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X0),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_583])]) ).
fof(f1951,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X0),xT) )
| ~ spl96_121
| ~ spl96_164 ),
inference(resolution,[],[f1931,f1650]) ).
fof(f8100,plain,
( spl96_582
| ~ spl96_162
| ~ spl96_163 ),
inference(avatar_split_clause,[],[f1945,f1926,f1922,f8098]) ).
fof(f8098,plain,
( spl96_582
<=> ! [X0] :
( sP34(sdtlpdtrp0(xe,sK55(X0)))
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_582])]) ).
fof(f1926,plain,
( spl96_163
<=> ! [X1] :
( sP34(sdtlpdtrp0(xe,X1))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_163])]) ).
fof(f1945,plain,
( ! [X0] :
( sP34(sdtlpdtrp0(xe,sK55(X0)))
| ~ aElementOf0(X0,xO) )
| ~ spl96_162
| ~ spl96_163 ),
inference(resolution,[],[f1927,f1923]) ).
fof(f1927,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sP34(sdtlpdtrp0(xe,X1)) )
| ~ spl96_163 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f8096,plain,
( spl96_581
| ~ spl96_36
| ~ spl96_525 ),
inference(avatar_split_clause,[],[f7554,f7451,f1196,f8093]) ).
fof(f8093,plain,
( spl96_581
<=> sP7(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_581])]) ).
fof(f7554,plain,
( sP7(szszuzczcdt0(sK48))
| ~ spl96_36
| ~ spl96_525 ),
inference(resolution,[],[f7453,f1197]) ).
fof(f8090,plain,
( ~ spl96_25
| spl96_580
| ~ spl96_44
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f1936,f1914,f1231,f8087,f1144]) ).
fof(f1936,plain,
( aElementOf0(sdtlpdtrp0(xe,sz00),xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl96_44
| ~ spl96_160 ),
inference(superposition,[],[f1915,f1233]) ).
fof(f8062,plain,
( ~ spl96_463
| spl96_579
| ~ spl96_47
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f1935,f1914,f1246,f8059,f6696]) ).
fof(f8059,plain,
( spl96_579
<=> aElementOf0(xx,sdtlpdtrp0(xN,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_579])]) ).
fof(f1935,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,sK57))
| ~ aElementOf0(sK57,szNzAzT0)
| ~ spl96_47
| ~ spl96_160 ),
inference(superposition,[],[f1915,f1248]) ).
fof(f8034,plain,
( ~ spl96_22
| spl96_578
| ~ spl96_46
| ~ spl96_160 ),
inference(avatar_split_clause,[],[f1934,f1914,f1241,f8031,f1129]) ).
fof(f8031,plain,
( spl96_578
<=> aElementOf0(xx,sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_578])]) ).
fof(f1934,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl96_46
| ~ spl96_160 ),
inference(superposition,[],[f1915,f1243]) ).
fof(f8028,plain,
( ~ spl96_576
| spl96_577
| ~ spl96_66
| ~ spl96_157 ),
inference(avatar_split_clause,[],[f1912,f1835,f1344,f8025,f8021]) ).
fof(f8021,plain,
( spl96_576
<=> sP47(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_576])]) ).
fof(f8025,plain,
( spl96_577
<=> sP46(xK,xS,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_577])]) ).
fof(f1344,plain,
( spl96_66
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_66])]) ).
fof(f1912,plain,
( sP46(xK,xS,szDzozmdt0(xc))
| ~ sP47(xS,xK)
| ~ spl96_66
| ~ spl96_157 ),
inference(superposition,[],[f1836,f1346]) ).
fof(f1346,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl96_66 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f8019,plain,
( spl96_575
| ~ spl96_197
| ~ spl96_571 ),
inference(avatar_split_clause,[],[f7970,f7926,f2225,f8016]) ).
fof(f7970,plain,
( aElementOf0(sK48,slcrc0)
| ~ spl96_197
| ~ spl96_571 ),
inference(superposition,[],[f2227,f7928]) ).
fof(f7928,plain,
( slcrc0 = szNzAzT0
| ~ spl96_571 ),
inference(avatar_component_clause,[],[f7926]) ).
fof(f8012,plain,
( spl96_573
| ~ spl96_9
| spl96_574
| ~ spl96_49
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1899,f1804,f1255,f8009,f1064,f8005]) ).
fof(f8005,plain,
( spl96_573
<=> sP34(sK89(xO)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_573])]) ).
fof(f1899,plain,
( slcrc0 = xO
| ~ aSet0(xO)
| sP34(sK89(xO))
| ~ spl96_49
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1256]) ).
fof(f7938,plain,
( spl96_572
| ~ spl96_16
| spl96_571
| ~ spl96_48
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1883,f1804,f1251,f7926,f1099,f7935]) ).
fof(f7935,plain,
( spl96_572
<=> sP11(sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_572])]) ).
fof(f1883,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP11(sK89(szNzAzT0))
| ~ spl96_48
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1252]) ).
fof(f7929,plain,
( spl96_570
| ~ spl96_16
| spl96_571
| ~ spl96_43
| ~ spl96_150 ),
inference(avatar_split_clause,[],[f1882,f1804,f1227,f7926,f1099,f7922]) ).
fof(f7922,plain,
( spl96_570
<=> sP8(sK89(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_570])]) ).
fof(f1882,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP8(sK89(szNzAzT0))
| ~ spl96_43
| ~ spl96_150 ),
inference(resolution,[],[f1805,f1228]) ).
fof(f7920,plain,
( spl96_569
| ~ spl96_48
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1872,f1800,f1251,f7918]) ).
fof(f7918,plain,
( spl96_569
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_569])]) ).
fof(f1872,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(sK87(X0)) )
| ~ spl96_48
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1252]) ).
fof(f7916,plain,
( spl96_568
| ~ spl96_43
| ~ spl96_149 ),
inference(avatar_split_clause,[],[f1871,f1800,f1227,f7914]) ).
fof(f7914,plain,
( spl96_568
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP8(sK87(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_568])]) ).
fof(f1871,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP8(sK87(X0)) )
| ~ spl96_43
| ~ spl96_149 ),
inference(resolution,[],[f1801,f1228]) ).
fof(f7912,plain,
( ~ spl96_11
| ~ spl96_12
| spl96_567
| ~ spl96_50
| ~ spl96_148 ),
inference(avatar_split_clause,[],[f1867,f1796,f1259,f7909,f1079,f1074]) ).
fof(f1259,plain,
( spl96_50
<=> aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_50])]) ).
fof(f1867,plain,
( isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl96_50
| ~ spl96_148 ),
inference(resolution,[],[f1797,f1261]) ).
fof(f1261,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)
| ~ spl96_50 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f7899,plain,
( ~ spl96_7
| spl96_566
| ~ spl96_29
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1855,f1780,f1163,f7897,f1054]) ).
fof(f7897,plain,
( spl96_566
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xd) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_566])]) ).
fof(f1855,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xd)
| ~ aFunction0(xd) )
| ~ spl96_29
| ~ spl96_144 ),
inference(superposition,[],[f1781,f1165]) ).
fof(f7887,plain,
( ~ spl96_4
| spl96_565
| ~ spl96_27
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1854,f1780,f1153,f7885,f1039]) ).
fof(f7885,plain,
( spl96_565
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xe) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_565])]) ).
fof(f1854,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xe)
| ~ aFunction0(xe) )
| ~ spl96_27
| ~ spl96_144 ),
inference(superposition,[],[f1781,f1155]) ).
fof(f7875,plain,
( ~ spl96_6
| spl96_564
| ~ spl96_28
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1853,f1780,f1158,f7873,f1049]) ).
fof(f7873,plain,
( spl96_564
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xC) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_564])]) ).
fof(f1853,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xC)
| ~ aFunction0(xC) )
| ~ spl96_28
| ~ spl96_144 ),
inference(superposition,[],[f1781,f1160]) ).
fof(f7863,plain,
( ~ spl96_8
| spl96_563
| ~ spl96_30
| ~ spl96_144 ),
inference(avatar_split_clause,[],[f1852,f1780,f1168,f7861,f1059]) ).
fof(f7861,plain,
( spl96_563
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_563])]) ).
fof(f1852,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP39(X0,xN)
| ~ aFunction0(xN) )
| ~ spl96_30
| ~ spl96_144 ),
inference(superposition,[],[f1781,f1170]) ).
fof(f7851,plain,
( ~ spl96_7
| spl96_562
| ~ spl96_29
| ~ spl96_143 ),
inference(avatar_split_clause,[],[f1850,f1776,f1163,f7849,f1054]) ).
fof(f7849,plain,
( spl96_562
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xd) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_562])]) ).
fof(f1850,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xd)
| ~ aFunction0(xd) )
| ~ spl96_29
| ~ spl96_143 ),
inference(superposition,[],[f1777,f1165]) ).
fof(f7839,plain,
( ~ spl96_4
| spl96_561
| ~ spl96_27
| ~ spl96_143 ),
inference(avatar_split_clause,[],[f1849,f1776,f1153,f7837,f1039]) ).
fof(f7837,plain,
( spl96_561
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xe) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_561])]) ).
fof(f1849,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xe)
| ~ aFunction0(xe) )
| ~ spl96_27
| ~ spl96_143 ),
inference(superposition,[],[f1777,f1155]) ).
fof(f7827,plain,
( ~ spl96_6
| spl96_560
| ~ spl96_28
| ~ spl96_143 ),
inference(avatar_split_clause,[],[f1848,f1776,f1158,f7825,f1049]) ).
fof(f7825,plain,
( spl96_560
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xC) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_560])]) ).
fof(f1848,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xC)
| ~ aFunction0(xC) )
| ~ spl96_28
| ~ spl96_143 ),
inference(superposition,[],[f1777,f1160]) ).
fof(f7815,plain,
( ~ spl96_8
| spl96_559
| ~ spl96_30
| ~ spl96_143 ),
inference(avatar_split_clause,[],[f1847,f1776,f1168,f7813,f1059]) ).
fof(f7813,plain,
( spl96_559
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_559])]) ).
fof(f1847,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP37(X0,xN)
| ~ aFunction0(xN) )
| ~ spl96_30
| ~ spl96_143 ),
inference(superposition,[],[f1777,f1170]) ).
fof(f7809,plain,
( spl96_558
| ~ spl96_197
| ~ spl96_548 ),
inference(avatar_split_clause,[],[f7731,f7717,f2225,f7806]) ).
fof(f7806,plain,
( spl96_558
<=> aElement0(sK74(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_558])]) ).
fof(f7731,plain,
( aElement0(sK74(sK48))
| ~ spl96_197
| ~ spl96_548 ),
inference(resolution,[],[f7718,f2227]) ).
fof(f7804,plain,
( ~ spl96_556
| spl96_557
| ~ spl96_29
| ~ spl96_137 ),
inference(avatar_split_clause,[],[f1843,f1752,f1163,f7801,f7797]) ).
fof(f7797,plain,
( spl96_556
<=> sP20(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_556])]) ).
fof(f7801,plain,
( spl96_557
<=> aElementOf0(sK63(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_557])]) ).
fof(f1843,plain,
( aElementOf0(sK63(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ sP20(xd)
| ~ spl96_29
| ~ spl96_137 ),
inference(superposition,[],[f1753,f1165]) ).
fof(f7793,plain,
( ~ spl96_554
| spl96_555
| ~ spl96_27
| ~ spl96_137 ),
inference(avatar_split_clause,[],[f1842,f1752,f1153,f7790,f7786]) ).
fof(f7786,plain,
( spl96_554
<=> sP20(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_554])]) ).
fof(f7790,plain,
( spl96_555
<=> aElementOf0(sK63(xe),sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_555])]) ).
fof(f1842,plain,
( aElementOf0(sK63(xe),sdtlcdtrc0(xe,szNzAzT0))
| ~ sP20(xe)
| ~ spl96_27
| ~ spl96_137 ),
inference(superposition,[],[f1753,f1155]) ).
fof(f7782,plain,
( ~ spl96_552
| spl96_553
| ~ spl96_28
| ~ spl96_137 ),
inference(avatar_split_clause,[],[f1841,f1752,f1158,f7779,f7775]) ).
fof(f7775,plain,
( spl96_552
<=> sP20(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_552])]) ).
fof(f7779,plain,
( spl96_553
<=> aElementOf0(sK63(xC),sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_553])]) ).
fof(f1841,plain,
( aElementOf0(sK63(xC),sdtlcdtrc0(xC,szNzAzT0))
| ~ sP20(xC)
| ~ spl96_28
| ~ spl96_137 ),
inference(superposition,[],[f1753,f1160]) ).
fof(f7771,plain,
( spl96_551
| ~ spl96_197
| ~ spl96_547 ),
inference(avatar_split_clause,[],[f7689,f7675,f2225,f7768]) ).
fof(f7768,plain,
( spl96_551
<=> aElement0(sK71(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_551])]) ).
fof(f7689,plain,
( aElement0(sK71(sK48))
| ~ spl96_197
| ~ spl96_547 ),
inference(resolution,[],[f7676,f2227]) ).
fof(f7766,plain,
( ~ spl96_549
| spl96_550
| ~ spl96_30
| ~ spl96_137 ),
inference(avatar_split_clause,[],[f1840,f1752,f1168,f7763,f7759]) ).
fof(f7759,plain,
( spl96_549
<=> sP20(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_549])]) ).
fof(f7763,plain,
( spl96_550
<=> aElementOf0(sK63(xN),sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_550])]) ).
fof(f1840,plain,
( aElementOf0(sK63(xN),sdtlcdtrc0(xN,szNzAzT0))
| ~ sP20(xN)
| ~ spl96_30
| ~ spl96_137 ),
inference(superposition,[],[f1753,f1170]) ).
fof(f7719,plain,
( ~ spl96_11
| spl96_548
| ~ spl96_97
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1605,f1543,f1502,f7717,f1074]) ).
fof(f1605,plain,
( ! [X0] :
( aElement0(sK74(X0))
| ~ aSet0(xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_97
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1503]) ).
fof(f7677,plain,
( ~ spl96_11
| spl96_547
| ~ spl96_94
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1604,f1543,f1489,f7675,f1074]) ).
fof(f1604,plain,
( ! [X0] :
( aElement0(sK71(X0))
| ~ aSet0(xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_94
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1490]) ).
fof(f7645,plain,
( spl96_546
| ~ spl96_425 ),
inference(avatar_split_clause,[],[f6006,f5738,f7643]) ).
fof(f7643,plain,
( spl96_546
<=> ! [X0] :
( sP36(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_546])]) ).
fof(f5738,plain,
( spl96_425
<=> ! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK77(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK77(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_425])]) ).
fof(f6006,plain,
( ! [X0] :
( sP36(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_425 ),
inference(equality_resolution,[],[f5739]) ).
fof(f5739,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK77(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK77(X0,X1,szDzozmdt0(X0)))
| sP36(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl96_425 ),
inference(avatar_component_clause,[],[f5738]) ).
fof(f7623,plain,
( ~ spl96_18
| spl96_545
| ~ spl96_26
| ~ spl96_235 ),
inference(avatar_split_clause,[],[f2556,f2467,f1149,f7621,f1109]) ).
fof(f7621,plain,
( spl96_545
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_545])]) ).
fof(f2556,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl96_26
| ~ spl96_235 ),
inference(resolution,[],[f2468,f1150]) ).
fof(f7619,plain,
( spl96_544
| ~ spl96_86
| ~ spl96_157 ),
inference(avatar_split_clause,[],[f1911,f1835,f1429,f7617]) ).
fof(f7617,plain,
( spl96_544
<=> ! [X0,X1] :
( ~ sP47(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_544])]) ).
fof(f1429,plain,
( spl96_86
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP46(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_86])]) ).
fof(f1911,plain,
( ! [X0,X1] :
( ~ sP47(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl96_86
| ~ spl96_157 ),
inference(resolution,[],[f1836,f1430]) ).
fof(f1430,plain,
( ! [X2,X0,X1] :
( ~ sP46(X0,X1,X2)
| aSet0(X2) )
| ~ spl96_86 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f7615,plain,
( spl96_543
| ~ spl96_85
| ~ spl96_155 ),
inference(avatar_split_clause,[],[f1905,f1824,f1425,f7613]) ).
fof(f7613,plain,
( spl96_543
<=> ! [X0,X1] :
( ~ sP43(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_543])]) ).
fof(f1425,plain,
( spl96_85
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP42(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_85])]) ).
fof(f1905,plain,
( ! [X0,X1] :
( ~ sP43(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) )
| ~ spl96_85
| ~ spl96_155 ),
inference(resolution,[],[f1825,f1426]) ).
fof(f1426,plain,
( ! [X2,X0,X1] :
( ~ sP42(X0,X1,X2)
| aSet0(X2) )
| ~ spl96_85 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f7611,plain,
( spl96_542
| ~ spl96_80
| ~ spl96_154 ),
inference(avatar_split_clause,[],[f1903,f1820,f1405,f7609]) ).
fof(f7609,plain,
( spl96_542
<=> ! [X0,X1] :
( ~ sP39(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_542])]) ).
fof(f1405,plain,
( spl96_80
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_80])]) ).
fof(f1903,plain,
( ! [X0,X1] :
( ~ sP39(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) )
| ~ spl96_80
| ~ spl96_154 ),
inference(resolution,[],[f1821,f1406]) ).
fof(f1406,plain,
( ! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| aSet0(X2) )
| ~ spl96_80 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f7607,plain,
( spl96_541
| ~ spl96_197
| ~ spl96_521 ),
inference(avatar_split_clause,[],[f7468,f7435,f2225,f7604]) ).
fof(f7604,plain,
( spl96_541
<=> sP41(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_541])]) ).
fof(f7468,plain,
( sP41(szszuzczcdt0(sK48))
| ~ spl96_197
| ~ spl96_521 ),
inference(resolution,[],[f7436,f2227]) ).
fof(f7602,plain,
( spl96_540
| ~ spl96_78
| ~ spl96_153 ),
inference(avatar_split_clause,[],[f1902,f1816,f1396,f7600]) ).
fof(f7600,plain,
( spl96_540
<=> ! [X0,X1] :
( ~ sP37(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_540])]) ).
fof(f1396,plain,
( spl96_78
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP36(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_78])]) ).
fof(f1902,plain,
( ! [X0,X1] :
( ~ sP37(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) )
| ~ spl96_78
| ~ spl96_153 ),
inference(resolution,[],[f1817,f1397]) ).
fof(f1397,plain,
( ! [X2,X0,X1] :
( ~ sP36(X0,X1,X2)
| aFunction0(X0) )
| ~ spl96_78 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f7598,plain,
( spl96_539
| ~ spl96_63
| ~ spl96_127 ),
inference(avatar_split_clause,[],[f1709,f1675,f1323,f7596]) ).
fof(f7596,plain,
( spl96_539
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP41(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_539])]) ).
fof(f1709,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP41(sbrdtbr0(X0)) )
| ~ spl96_63
| ~ spl96_127 ),
inference(resolution,[],[f1676,f1324]) ).
fof(f7594,plain,
( spl96_538
| ~ spl96_81
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1619,f1570,f1409,f7592]) ).
fof(f7592,plain,
( spl96_538
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_538])]) ).
fof(f1619,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl96_81
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1410]) ).
fof(f7590,plain,
( spl96_537
| ~ spl96_83
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1617,f1570,f1417,f7588]) ).
fof(f7588,plain,
( spl96_537
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_537])]) ).
fof(f1617,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl96_83
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1418]) ).
fof(f7586,plain,
( ~ spl96_16
| spl96_536
| ~ spl96_77
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1606,f1543,f1392,f7584,f1099]) ).
fof(f7584,plain,
( spl96_536
<=> ! [X0] :
( aElement0(sK75(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_536])]) ).
fof(f1606,plain,
( ! [X0] :
( aElement0(sK75(X0))
| ~ aSet0(szNzAzT0)
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1393]) ).
fof(f7582,plain,
( spl96_535
| ~ spl96_77
| ~ spl96_82 ),
inference(avatar_split_clause,[],[f1465,f1413,f1392,f7580]) ).
fof(f7580,plain,
( spl96_535
<=> ! [X0] :
( sdtlseqdt0(sK75(X0),sK75(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_535])]) ).
fof(f1465,plain,
( ! [X0] :
( sdtlseqdt0(sK75(X0),sK75(X0))
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_82 ),
inference(resolution,[],[f1414,f1393]) ).
fof(f7538,plain,
( spl96_534
| ~ spl96_122
| ~ spl96_247 ),
inference(avatar_split_clause,[],[f2662,f2646,f1655,f7536]) ).
fof(f7536,plain,
( spl96_534
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sP23(sdtlpdtrp0(xC,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_534])]) ).
fof(f1655,plain,
( spl96_122
<=> ! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_122])]) ).
fof(f2646,plain,
( spl96_247
<=> ! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_247])]) ).
fof(f2662,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sP23(sdtlpdtrp0(xC,X0)) )
| ~ spl96_122
| ~ spl96_247 ),
inference(resolution,[],[f2647,f1656]) ).
fof(f1656,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP23(X0) )
| ~ spl96_122 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f2647,plain,
( ! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_247 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f7534,plain,
( ~ spl96_51
| spl96_533
| ~ spl96_44
| ~ spl96_193 ),
inference(avatar_split_clause,[],[f2300,f2209,f1231,f7531,f1273]) ).
fof(f2209,plain,
( spl96_193
<=> ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_193])]) ).
fof(f2300,plain,
( aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP8(sz00)
| ~ spl96_44
| ~ spl96_193 ),
inference(superposition,[],[f2210,f1233]) ).
fof(f2210,plain,
( ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) )
| ~ spl96_193 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f7529,plain,
( spl96_532
| ~ spl96_142
| ~ spl96_163 ),
inference(avatar_split_clause,[],[f1947,f1926,f1772,f7527]) ).
fof(f7527,plain,
( spl96_532
<=> ! [X0] :
( sP34(sdtlpdtrp0(xe,sK75(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_532])]) ).
fof(f1947,plain,
( ! [X0] :
( sP34(sdtlpdtrp0(xe,sK75(X0)))
| ~ sP34(X0) )
| ~ spl96_142
| ~ spl96_163 ),
inference(resolution,[],[f1927,f1773]) ).
fof(f7525,plain,
( spl96_531
| ~ spl96_135
| ~ spl96_162 ),
inference(avatar_split_clause,[],[f1938,f1922,f1742,f7523]) ).
fof(f7523,plain,
( spl96_531
<=> ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK55(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_531])]) ).
fof(f1742,plain,
( spl96_135
<=> ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_135])]) ).
fof(f1938,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sK55(X0),szNzAzT0) )
| ~ spl96_135
| ~ spl96_162 ),
inference(resolution,[],[f1923,f1743]) ).
fof(f1743,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X3,szNzAzT0) )
| ~ spl96_135 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f7517,plain,
( ~ spl96_23
| spl96_530
| ~ spl96_31
| ~ spl96_132 ),
inference(avatar_split_clause,[],[f1732,f1696,f1173,f7514,f1134]) ).
fof(f7514,plain,
( spl96_530
<=> aElementOf0(xk,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_530])]) ).
fof(f1732,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_31
| ~ spl96_132 ),
inference(superposition,[],[f1697,f1175]) ).
fof(f7512,plain,
( spl96_529
| ~ spl96_43
| ~ spl96_127 ),
inference(avatar_split_clause,[],[f1711,f1675,f1227,f7510]) ).
fof(f7510,plain,
( spl96_529
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP8(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_529])]) ).
fof(f1711,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP8(sbrdtbr0(X0)) )
| ~ spl96_43
| ~ spl96_127 ),
inference(resolution,[],[f1676,f1228]) ).
fof(f7508,plain,
( spl96_528
| ~ spl96_48
| ~ spl96_127 ),
inference(avatar_split_clause,[],[f1710,f1675,f1251,f7506]) ).
fof(f7506,plain,
( spl96_528
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP11(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_528])]) ).
fof(f1710,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP11(sbrdtbr0(X0)) )
| ~ spl96_48
| ~ spl96_127 ),
inference(resolution,[],[f1676,f1252]) ).
fof(f7504,plain,
( ~ spl96_527
| ~ spl96_50
| ~ spl96_29
| ~ spl96_122 ),
inference(avatar_split_clause,[],[f1703,f1655,f1163,f1259,f7501]) ).
fof(f7501,plain,
( spl96_527
<=> sP23(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_527])]) ).
fof(f1703,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT)
| ~ sP23(xd)
| ~ spl96_29
| ~ spl96_122 ),
inference(superposition,[],[f1656,f1165]) ).
fof(f7499,plain,
( ~ spl96_45
| spl96_526
| ~ spl96_69
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1603,f1543,f1358,f7496,f1236]) ).
fof(f7496,plain,
( spl96_526
<=> aElement0(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_526])]) ).
fof(f1358,plain,
( spl96_69
<=> aElementOf0(sK57,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_69])]) ).
fof(f1603,plain,
( aElement0(sK57)
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl96_69
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1360]) ).
fof(f1360,plain,
( aElementOf0(sK57,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl96_69 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f7454,plain,
( spl96_525
| ~ spl96_197
| ~ spl96_510 ),
inference(avatar_split_clause,[],[f7296,f7208,f2225,f7451]) ).
fof(f7296,plain,
( sP8(szszuzczcdt0(sK48))
| ~ spl96_197
| ~ spl96_510 ),
inference(resolution,[],[f7209,f2227]) ).
fof(f7449,plain,
( spl96_524
| ~ spl96_302
| ~ spl96_308 ),
inference(avatar_split_clause,[],[f3429,f3251,f3227,f7447]) ).
fof(f7447,plain,
( spl96_524
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_524])]) ).
fof(f3429,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP4(X0,X1) )
| ~ spl96_302
| ~ spl96_308 ),
inference(resolution,[],[f3252,f3228]) ).
fof(f7445,plain,
( spl96_523
| ~ spl96_304
| ~ spl96_308 ),
inference(avatar_split_clause,[],[f3428,f3251,f3235,f7443]) ).
fof(f7443,plain,
( spl96_523
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_523])]) ).
fof(f3428,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP15(X0,X1) )
| ~ spl96_304
| ~ spl96_308 ),
inference(resolution,[],[f3252,f3236]) ).
fof(f7441,plain,
( spl96_522
| ~ spl96_253
| ~ spl96_255 ),
inference(avatar_split_clause,[],[f2757,f2696,f2687,f7439]) ).
fof(f7439,plain,
( spl96_522
<=> ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_522])]) ).
fof(f2757,plain,
( ! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP29(X0,X1) )
| ~ spl96_253
| ~ spl96_255 ),
inference(resolution,[],[f2697,f2688]) ).
fof(f7437,plain,
( spl96_521
| ~ spl96_63
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1620,f1570,f1323,f7435]) ).
fof(f1620,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP41(szszuzczcdt0(X0)) )
| ~ spl96_63
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1324]) ).
fof(f7433,plain,
( spl96_520
| ~ spl96_77
| ~ spl96_83 ),
inference(avatar_split_clause,[],[f1470,f1417,f1392,f7431]) ).
fof(f7431,plain,
( spl96_520
<=> ! [X0] :
( sdtlseqdt0(sz00,sK75(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_520])]) ).
fof(f1470,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sK75(X0))
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_83 ),
inference(resolution,[],[f1418,f1393]) ).
fof(f7429,plain,
( spl96_519
| ~ spl96_77
| ~ spl96_81 ),
inference(avatar_split_clause,[],[f1454,f1409,f1392,f7427]) ).
fof(f7427,plain,
( spl96_519
<=> ! [X0] :
( isFinite0(slbdtrb0(sK75(X0)))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_519])]) ).
fof(f1454,plain,
( ! [X0] :
( isFinite0(slbdtrb0(sK75(X0)))
| ~ sP34(X0) )
| ~ spl96_77
| ~ spl96_81 ),
inference(resolution,[],[f1410,f1393]) ).
fof(f7338,plain,
( spl96_518
| ~ spl96_197
| ~ spl96_509 ),
inference(avatar_split_clause,[],[f7258,f7204,f2225,f7335]) ).
fof(f7335,plain,
( spl96_518
<=> sP11(szszuzczcdt0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_518])]) ).
fof(f7258,plain,
( sP11(szszuzczcdt0(sK48))
| ~ spl96_197
| ~ spl96_509 ),
inference(resolution,[],[f7205,f2227]) ).
fof(f7246,plain,
( spl96_517
| ~ spl96_69
| ~ spl96_216 ),
inference(avatar_split_clause,[],[f2383,f2353,f1358,f7243]) ).
fof(f7243,plain,
( spl96_517
<=> szDzizrdt0(xd) = sdtlpdtrp0(xd,sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_517])]) ).
fof(f2383,plain,
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK57)
| ~ spl96_69
| ~ spl96_216 ),
inference(resolution,[],[f2354,f1360]) ).
fof(f7241,plain,
( spl96_516
| ~ spl96_22
| ~ spl96_46
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2167,f2123,f1241,f1129,f7238]) ).
fof(f7238,plain,
( spl96_516
<=> xx = szmzizndt0(sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_516])]) ).
fof(f2167,plain,
( xx = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ spl96_22
| ~ spl96_46
| ~ spl96_185 ),
inference(forward_demodulation,[],[f2160,f1243]) ).
fof(f2160,plain,
( sdtlpdtrp0(xe,xi) = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ spl96_22
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1131]) ).
fof(f7236,plain,
( spl96_515
| ~ spl96_25
| ~ spl96_44
| ~ spl96_185 ),
inference(avatar_split_clause,[],[f2166,f2123,f1231,f1144,f7233]) ).
fof(f2166,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(xS)
| ~ spl96_25
| ~ spl96_44
| ~ spl96_185 ),
inference(forward_demodulation,[],[f2154,f1233]) ).
fof(f2154,plain,
( sdtlpdtrp0(xe,sz00) = szmzizndt0(sdtlpdtrp0(xN,sz00))
| ~ spl96_25
| ~ spl96_185 ),
inference(resolution,[],[f2124,f1146]) ).
fof(f7229,plain,
( spl96_513
| ~ spl96_514
| ~ spl96_133
| ~ spl96_137 ),
inference(avatar_split_clause,[],[f1838,f1752,f1734,f7226,f7222]) ).
fof(f7222,plain,
( spl96_513
<=> aElementOf0(sK63(xc),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_513])]) ).
fof(f7226,plain,
( spl96_514
<=> sP20(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_514])]) ).
fof(f1838,plain,
( ~ sP20(xc)
| aElementOf0(sK63(xc),xT)
| ~ spl96_133
| ~ spl96_137 ),
inference(resolution,[],[f1753,f1735]) ).
fof(f7220,plain,
( spl96_512
| ~ spl96_24
| ~ spl96_134 ),
inference(avatar_split_clause,[],[f1749,f1738,f1139,f7217]) ).
fof(f7217,plain,
( spl96_512
<=> xx = sdtlpdtrp0(xe,sK55(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_512])]) ).
fof(f1749,plain,
( xx = sdtlpdtrp0(xe,sK55(xx))
| ~ spl96_24
| ~ spl96_134 ),
inference(resolution,[],[f1739,f1141]) ).
fof(f7215,plain,
( spl96_511
| ~ spl96_43
| ~ spl96_488 ),
inference(avatar_split_clause,[],[f7169,f6915,f1227,f7212]) ).
fof(f7169,plain,
( sP8(szmzizndt0(xS))
| ~ spl96_43
| ~ spl96_488 ),
inference(resolution,[],[f6917,f1228]) ).
fof(f7210,plain,
( spl96_510
| ~ spl96_43
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1622,f1570,f1227,f7208]) ).
fof(f1622,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(szszuzczcdt0(X0)) )
| ~ spl96_43
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1228]) ).
fof(f7206,plain,
( spl96_509
| ~ spl96_48
| ~ spl96_112 ),
inference(avatar_split_clause,[],[f1621,f1570,f1251,f7204]) ).
fof(f1621,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP11(szszuzczcdt0(X0)) )
| ~ spl96_48
| ~ spl96_112 ),
inference(resolution,[],[f1571,f1252]) ).
fof(f7200,plain,
( ~ spl96_23
| spl96_508
| ~ spl96_31
| ~ spl96_111 ),
inference(avatar_split_clause,[],[f1616,f1566,f1173,f7197,f1134]) ).
fof(f7197,plain,
( spl96_508
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_508])]) ).
fof(f1566,plain,
( spl96_111
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_111])]) ).
fof(f1616,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_31
| ~ spl96_111 ),
inference(superposition,[],[f1567,f1175]) ).
fof(f1567,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_111 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f7195,plain,
( ~ spl96_23
| spl96_507
| ~ spl96_31
| ~ spl96_110 ),
inference(avatar_split_clause,[],[f1615,f1562,f1173,f7192,f1134]) ).
fof(f7192,plain,
( spl96_507
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_507])]) ).
fof(f1562,plain,
( spl96_110
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_110])]) ).
fof(f1615,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_31
| ~ spl96_110 ),
inference(superposition,[],[f1563,f1175]) ).
fof(f1563,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_110 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f7190,plain,
( ~ spl96_23
| ~ spl96_506
| ~ spl96_31
| ~ spl96_109 ),
inference(avatar_split_clause,[],[f1614,f1555,f1173,f7187,f1134]) ).
fof(f7187,plain,
( spl96_506
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_506])]) ).
fof(f1555,plain,
( spl96_109
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_109])]) ).
fof(f1614,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl96_31
| ~ spl96_109 ),
inference(superposition,[],[f1556,f1175]) ).
fof(f1556,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_109 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f7167,plain,
( ~ spl96_504
| spl96_505
| ~ spl96_27
| ~ spl96_102 ),
inference(avatar_split_clause,[],[f1590,f1527,f1153,f7164,f7160]) ).
fof(f7160,plain,
( spl96_504
<=> sP23(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_504])]) ).
fof(f7164,plain,
( spl96_505
<=> aSet0(sdtlcdtrc0(xe,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_505])]) ).
fof(f1527,plain,
( spl96_102
<=> ! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_102])]) ).
fof(f1590,plain,
( aSet0(sdtlcdtrc0(xe,szNzAzT0))
| ~ sP23(xe)
| ~ spl96_27
| ~ spl96_102 ),
inference(superposition,[],[f1528,f1155]) ).
fof(f1528,plain,
( ! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP23(X0) )
| ~ spl96_102 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f7158,plain,
( ~ spl96_502
| spl96_503
| ~ spl96_28
| ~ spl96_102 ),
inference(avatar_split_clause,[],[f1589,f1527,f1158,f7155,f7151]) ).
fof(f7151,plain,
( spl96_502
<=> sP23(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_502])]) ).
fof(f7155,plain,
( spl96_503
<=> aSet0(sdtlcdtrc0(xC,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_503])]) ).
fof(f1589,plain,
( aSet0(sdtlcdtrc0(xC,szNzAzT0))
| ~ sP23(xC)
| ~ spl96_28
| ~ spl96_102 ),
inference(superposition,[],[f1528,f1160]) ).
fof(f7149,plain,
( ~ spl96_500
| spl96_501
| ~ spl96_30
| ~ spl96_102 ),
inference(avatar_split_clause,[],[f1588,f1527,f1168,f7146,f7142]) ).
fof(f7142,plain,
( spl96_500
<=> sP23(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_500])]) ).
fof(f7146,plain,
( spl96_501
<=> aSet0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_501])]) ).
fof(f1588,plain,
( aSet0(sdtlcdtrc0(xN,szNzAzT0))
| ~ sP23(xN)
| ~ spl96_30
| ~ spl96_102 ),
inference(superposition,[],[f1528,f1170]) ).
fof(f7139,plain,
( ~ spl96_498
| spl96_499
| ~ spl96_31
| ~ spl96_100 ),
inference(avatar_split_clause,[],[f1585,f1519,f1173,f7136,f7132]) ).
fof(f7132,plain,
( spl96_498
<=> sP10(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_498])]) ).
fof(f7136,plain,
( spl96_499
<=> aSet0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_499])]) ).
fof(f1519,plain,
( spl96_100
<=> ! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_100])]) ).
fof(f1585,plain,
( aSet0(sdtlpdtrp0(xN,xK))
| ~ sP10(xk)
| ~ spl96_31
| ~ spl96_100 ),
inference(superposition,[],[f1520,f1175]) ).
fof(f1520,plain,
( ! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) )
| ~ spl96_100 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f7130,plain,
( ~ spl96_20
| ~ spl96_13
| spl96_495
| spl96_496
| spl96_497
| ~ spl96_66
| ~ spl96_442 ),
inference(avatar_split_clause,[],[f6273,f6268,f1344,f7128,f7124,f7120,f1084,f1119]) ).
fof(f7128,plain,
( spl96_497
<=> ! [X0] :
( ~ aSubsetOf0(szDzozmdt0(xc),slbdtsldtrb0(X0,xK))
| ~ aSet0(X0)
| aSubsetOf0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_497])]) ).
fof(f6268,plain,
( spl96_442
<=> ! [X2,X0,X1] :
( sK48 = X0
| aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_442])]) ).
fof(f6273,plain,
( ! [X0] :
( ~ aSubsetOf0(szDzozmdt0(xc),slbdtsldtrb0(X0,xK))
| aSubsetOf0(xS,X0)
| slcrc0 = szDzozmdt0(xc)
| xK = sK48
| ~ aSet0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0) )
| ~ spl96_66
| ~ spl96_442 ),
inference(superposition,[],[f6269,f1346]) ).
fof(f6269,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| sK48 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_442 ),
inference(avatar_component_clause,[],[f6268]) ).
fof(f7117,plain,
( spl96_494
| ~ spl96_18
| ~ spl96_26
| ~ spl96_170 ),
inference(avatar_split_clause,[],[f2040,f1970,f1149,f1109,f7115]) ).
fof(f7115,plain,
( spl96_494
<=> ! [X0] : ~ sP26(X0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_494])]) ).
fof(f2040,plain,
( ! [X0] :
( ~ aSet0(slcrc0)
| ~ sP26(X0,slcrc0) )
| ~ spl96_26
| ~ spl96_170 ),
inference(resolution,[],[f1971,f1150]) ).
fof(f7113,plain,
( spl96_493
| ~ spl96_25
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1723,f1683,f1144,f7111]) ).
fof(f7111,plain,
( spl96_493
<=> ! [X0] :
( sP47(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_493])]) ).
fof(f1723,plain,
( ! [X0] :
( sP47(X0,sz00)
| ~ aSet0(X0) )
| ~ spl96_25
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1146]) ).
fof(f7105,plain,
( spl96_492
| ~ spl96_197
| ~ spl96_480 ),
inference(avatar_split_clause,[],[f6929,f6869,f2225,f7102]) ).
fof(f7102,plain,
( spl96_492
<=> sP31(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_492])]) ).
fof(f6929,plain,
( sP31(sK48)
| ~ spl96_197
| ~ spl96_480 ),
inference(resolution,[],[f6870,f2227]) ).
fof(f7100,plain,
( ~ spl96_375
| spl96_491
| ~ spl96_40
| ~ spl96_88 ),
inference(avatar_split_clause,[],[f1475,f1439,f1212,f7097,f4431]) ).
fof(f4431,plain,
( spl96_375
<=> sP41(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_375])]) ).
fof(f7097,plain,
( spl96_491
<=> sP40(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_491])]) ).
fof(f1475,plain,
( sP40(sz00,slcrc0)
| ~ sP41(sz00)
| ~ spl96_40
| ~ spl96_88 ),
inference(superposition,[],[f1440,f1214]) ).
fof(f7095,plain,
( spl96_490
| ~ spl96_61
| ~ spl96_88 ),
inference(avatar_split_clause,[],[f1474,f1439,f1314,f7093]) ).
fof(f7093,plain,
( spl96_490
<=> ! [X0] :
( ~ sP41(X0)
| aSet0(slbdtrb0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_490])]) ).
fof(f1314,plain,
( spl96_61
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_61])]) ).
fof(f1474,plain,
( ! [X0] :
( ~ sP41(X0)
| aSet0(slbdtrb0(X0)) )
| ~ spl96_61
| ~ spl96_88 ),
inference(resolution,[],[f1440,f1315]) ).
fof(f1315,plain,
( ! [X0,X1] :
( ~ sP40(X0,X1)
| aSet0(X1) )
| ~ spl96_61 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f7091,plain,
( spl96_489
| ~ spl96_63
| ~ spl96_77 ),
inference(avatar_split_clause,[],[f1447,f1392,f1323,f7089]) ).
fof(f7089,plain,
( spl96_489
<=> ! [X0] :
( ~ sP34(X0)
| sP41(sK75(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_489])]) ).
fof(f1447,plain,
( ! [X0] :
( ~ sP34(X0)
| sP41(sK75(X0)) )
| ~ spl96_63
| ~ spl96_77 ),
inference(resolution,[],[f1393,f1324]) ).
fof(f6918,plain,
( spl96_488
| ~ spl96_68
| ~ spl96_473 ),
inference(avatar_split_clause,[],[f6873,f6837,f1354,f6915]) ).
fof(f6873,plain,
( aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ spl96_68
| ~ spl96_473 ),
inference(resolution,[],[f6839,f1355]) ).
fof(f6839,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ spl96_473 ),
inference(avatar_component_clause,[],[f6837]) ).
fof(f6909,plain,
( spl96_487
| ~ spl96_22
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1728,f1683,f1129,f6907]) ).
fof(f6907,plain,
( spl96_487
<=> ! [X0] :
( sP47(X0,xi)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_487])]) ).
fof(f1728,plain,
( ! [X0] :
( sP47(X0,xi)
| ~ aSet0(X0) )
| ~ spl96_22
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1131]) ).
fof(f6905,plain,
( spl96_486
| ~ spl96_23
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1727,f1683,f1134,f6903]) ).
fof(f6903,plain,
( spl96_486
<=> ! [X0] :
( sP47(X0,xk)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_486])]) ).
fof(f1727,plain,
( ! [X0] :
( sP47(X0,xk)
| ~ aSet0(X0) )
| ~ spl96_23
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1136]) ).
fof(f6901,plain,
( spl96_485
| ~ spl96_20
| ~ spl96_129 ),
inference(avatar_split_clause,[],[f1726,f1683,f1119,f6899]) ).
fof(f6899,plain,
( spl96_485
<=> ! [X0] :
( sP47(X0,xK)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_485])]) ).
fof(f1726,plain,
( ! [X0] :
( sP47(X0,xK)
| ~ aSet0(X0) )
| ~ spl96_20
| ~ spl96_129 ),
inference(resolution,[],[f1684,f1121]) ).
fof(f6897,plain,
( spl96_484
| ~ spl96_22
| ~ spl96_128 ),
inference(avatar_split_clause,[],[f1720,f1679,f1129,f6894]) ).
fof(f6894,plain,
( spl96_484
<=> xi = sbrdtbr0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_484])]) ).
fof(f1720,plain,
( xi = sbrdtbr0(slbdtrb0(xi))
| ~ spl96_22
| ~ spl96_128 ),
inference(resolution,[],[f1680,f1131]) ).
fof(f6892,plain,
( spl96_483
| ~ spl96_23
| ~ spl96_128 ),
inference(avatar_split_clause,[],[f1719,f1679,f1134,f6889]) ).
fof(f6889,plain,
( spl96_483
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_483])]) ).
fof(f1719,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl96_23
| ~ spl96_128 ),
inference(resolution,[],[f1680,f1136]) ).
fof(f6887,plain,
( spl96_482
| ~ spl96_20
| ~ spl96_128 ),
inference(avatar_split_clause,[],[f1718,f1679,f1119,f6884]) ).
fof(f6884,plain,
( spl96_482
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_482])]) ).
fof(f1718,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl96_20
| ~ spl96_128 ),
inference(resolution,[],[f1680,f1121]) ).
fof(f6882,plain,
( ~ spl96_11
| spl96_481
| ~ spl96_32
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1597,f1543,f1178,f6879,f1074]) ).
fof(f6879,plain,
( spl96_481
<=> aElement0(szDzizrdt0(xd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_481])]) ).
fof(f1597,plain,
( aElement0(szDzizrdt0(xd))
| ~ aSet0(xT)
| ~ spl96_32
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1180]) ).
fof(f6871,plain,
( spl96_480
| ~ spl96_57
| ~ spl96_98 ),
inference(avatar_split_clause,[],[f1512,f1506,f1298,f6869]) ).
fof(f1298,plain,
( spl96_57
<=> ! [X0,X1] :
( sP31(X0)
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_57])]) ).
fof(f1512,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP31(X0) )
| ~ spl96_57
| ~ spl96_98 ),
inference(resolution,[],[f1507,f1299]) ).
fof(f1299,plain,
( ! [X0,X1] :
( ~ sP33(X0,X1)
| sP31(X0) )
| ~ spl96_57 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f6867,plain,
( spl96_479
| ~ spl96_43
| ~ spl96_77 ),
inference(avatar_split_clause,[],[f1449,f1392,f1227,f6865]) ).
fof(f6865,plain,
( spl96_479
<=> ! [X0] :
( ~ sP34(X0)
| sP8(sK75(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_479])]) ).
fof(f1449,plain,
( ! [X0] :
( ~ sP34(X0)
| sP8(sK75(X0)) )
| ~ spl96_43
| ~ spl96_77 ),
inference(resolution,[],[f1393,f1228]) ).
fof(f6863,plain,
( spl96_478
| ~ spl96_48
| ~ spl96_77 ),
inference(avatar_split_clause,[],[f1448,f1392,f1251,f6861]) ).
fof(f6861,plain,
( spl96_478
<=> ! [X0] :
( ~ sP34(X0)
| sP11(sK75(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_478])]) ).
fof(f1448,plain,
( ! [X0] :
( ~ sP34(X0)
| sP11(sK75(X0)) )
| ~ spl96_48
| ~ spl96_77 ),
inference(resolution,[],[f1393,f1252]) ).
fof(f6859,plain,
( ~ spl96_116
| ~ spl96_476
| spl96_477
| ~ spl96_2
| ~ spl96_313 ),
inference(avatar_split_clause,[],[f3466,f3272,f1029,f6856,f6852,f1627]) ).
fof(f6852,plain,
( spl96_476
<=> isFinite0(sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_476])]) ).
fof(f6856,plain,
( spl96_477
<=> sbrdtbr0(sdtlpdtrp0(xN,xi)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlpdtrp0(xN,xi),sK48))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_477])]) ).
fof(f1029,plain,
( spl96_2
<=> aElementOf0(sK48,sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_2])]) ).
fof(f3466,plain,
( sbrdtbr0(sdtlpdtrp0(xN,xi)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlpdtrp0(xN,xi),sK48)))
| ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl96_2
| ~ spl96_313 ),
inference(resolution,[],[f3273,f1031]) ).
fof(f1031,plain,
( aElementOf0(sK48,sdtlpdtrp0(xN,xi))
| ~ spl96_2 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f6850,plain,
( ~ spl96_16
| ~ spl96_475
| ~ spl96_17
| ~ spl96_84 ),
inference(avatar_split_clause,[],[f1473,f1421,f1104,f6847,f1099]) ).
fof(f6847,plain,
( spl96_475
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_475])]) ).
fof(f1473,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl96_17
| ~ spl96_84 ),
inference(resolution,[],[f1422,f1106]) ).
fof(f1106,plain,
( isCountable0(szNzAzT0)
| ~ spl96_17 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f6845,plain,
( ~ spl96_18
| spl96_474
| ~ spl96_59
| ~ spl96_87 ),
inference(avatar_split_clause,[],[f1437,f1433,f1306,f6842,f1109]) ).
fof(f1306,plain,
( spl96_59
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_59])]) ).
fof(f1437,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl96_59
| ~ spl96_87 ),
inference(superposition,[],[f1307,f1435]) ).
fof(f1307,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl96_59 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f6840,plain,
( ~ spl96_213
| spl96_473
| ~ spl96_166
| ~ spl96_432 ),
inference(avatar_split_clause,[],[f6181,f6133,f1954,f6837,f2307]) ).
fof(f2307,plain,
( spl96_213
<=> sP8(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_213])]) ).
fof(f6181,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ sP8(sK48)
| ~ spl96_166
| ~ spl96_432 ),
inference(superposition,[],[f1955,f6135]) ).
fof(f6835,plain,
( ~ spl96_16
| spl96_472
| ~ spl96_22
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1601,f1543,f1129,f6832,f1099]) ).
fof(f6832,plain,
( spl96_472
<=> aElement0(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_472])]) ).
fof(f1601,plain,
( aElement0(xi)
| ~ aSet0(szNzAzT0)
| ~ spl96_22
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1131]) ).
fof(f6830,plain,
( ~ spl96_9
| spl96_471
| ~ spl96_24
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1600,f1543,f1139,f6827,f1064]) ).
fof(f6827,plain,
( spl96_471
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_471])]) ).
fof(f1600,plain,
( aElement0(xx)
| ~ aSet0(xO)
| ~ spl96_24
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1141]) ).
fof(f6825,plain,
( ~ spl96_16
| spl96_470
| ~ spl96_23
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1599,f1543,f1134,f6822,f1099]) ).
fof(f6822,plain,
( spl96_470
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_470])]) ).
fof(f1599,plain,
( aElement0(xk)
| ~ aSet0(szNzAzT0)
| ~ spl96_23
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1136]) ).
fof(f6820,plain,
( ~ spl96_16
| spl96_469
| ~ spl96_20
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1598,f1543,f1119,f6817,f1099]) ).
fof(f6817,plain,
( spl96_469
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_469])]) ).
fof(f1598,plain,
( aElement0(xK)
| ~ aSet0(szNzAzT0)
| ~ spl96_20
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1121]) ).
fof(f6815,plain,
( ~ spl96_13
| ~ spl96_468
| ~ spl96_14
| ~ spl96_84 ),
inference(avatar_split_clause,[],[f1472,f1421,f1089,f6812,f1084]) ).
fof(f6812,plain,
( spl96_468
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_468])]) ).
fof(f1472,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl96_14
| ~ spl96_84 ),
inference(resolution,[],[f1422,f1091]) ).
fof(f1091,plain,
( isCountable0(xS)
| ~ spl96_14 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f6782,plain,
( ~ spl96_9
| ~ spl96_467
| ~ spl96_10
| ~ spl96_84 ),
inference(avatar_split_clause,[],[f1471,f1421,f1069,f6779,f1064]) ).
fof(f6779,plain,
( spl96_467
<=> isFinite0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_467])]) ).
fof(f1069,plain,
( spl96_10
<=> isCountable0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_10])]) ).
fof(f1471,plain,
( ~ isFinite0(xO)
| ~ aSet0(xO)
| ~ spl96_10
| ~ spl96_84 ),
inference(resolution,[],[f1422,f1071]) ).
fof(f1071,plain,
( isCountable0(xO)
| ~ spl96_10 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f6773,plain,
( ~ spl96_116
| spl96_466
| ~ spl96_2
| ~ spl96_233 ),
inference(avatar_split_clause,[],[f2532,f2459,f1029,f6770,f1627]) ).
fof(f6770,plain,
( spl96_466
<=> sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sK48),sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_466])]) ).
fof(f2532,plain,
( sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sK48),sK48)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl96_2
| ~ spl96_233 ),
inference(resolution,[],[f2460,f1031]) ).
fof(f6748,plain,
( ~ spl96_22
| spl96_465
| ~ spl96_2
| ~ spl96_378 ),
inference(avatar_split_clause,[],[f4904,f4894,f1029,f6746,f1129]) ).
fof(f6746,plain,
( spl96_465
<=> ! [X0] :
( aElementOf0(sK48,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xi) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_465])]) ).
fof(f4894,plain,
( spl96_378
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_378])]) ).
fof(f4904,plain,
( ! [X0] :
( aElementOf0(sK48,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) )
| ~ spl96_2
| ~ spl96_378 ),
inference(resolution,[],[f4895,f1031]) ).
fof(f4895,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_378 ),
inference(avatar_component_clause,[],[f4894]) ).
fof(f6740,plain,
( spl96_464
| ~ spl96_25
| ~ spl96_82 ),
inference(avatar_split_clause,[],[f1461,f1413,f1144,f6737]) ).
fof(f6737,plain,
( spl96_464
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_464])]) ).
fof(f1461,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl96_25
| ~ spl96_82 ),
inference(resolution,[],[f1414,f1146]) ).
fof(f6699,plain,
( spl96_463
| ~ spl96_69
| ~ spl96_135 ),
inference(avatar_split_clause,[],[f1750,f1742,f1358,f6696]) ).
fof(f1750,plain,
( aElementOf0(sK57,szNzAzT0)
| ~ spl96_69
| ~ spl96_135 ),
inference(resolution,[],[f1743,f1360]) ).
fof(f6694,plain,
( spl96_462
| ~ spl96_22
| ~ spl96_83 ),
inference(avatar_split_clause,[],[f1469,f1417,f1129,f6691]) ).
fof(f1469,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl96_22
| ~ spl96_83 ),
inference(resolution,[],[f1418,f1131]) ).
fof(f6689,plain,
( spl96_461
| ~ spl96_23
| ~ spl96_83 ),
inference(avatar_split_clause,[],[f1468,f1417,f1134,f6686]) ).
fof(f6686,plain,
( spl96_461
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_461])]) ).
fof(f1468,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl96_23
| ~ spl96_83 ),
inference(resolution,[],[f1418,f1136]) ).
fof(f6684,plain,
( spl96_460
| ~ spl96_87
| ~ spl96_415
| ~ spl96_459 ),
inference(avatar_split_clause,[],[f6679,f6675,f5697,f1433,f6681]) ).
fof(f6678,plain,
( spl96_459
| ~ spl96_20
| ~ spl96_83 ),
inference(avatar_split_clause,[],[f1467,f1417,f1119,f6675]) ).
fof(f1467,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl96_20
| ~ spl96_83 ),
inference(resolution,[],[f1418,f1121]) ).
fof(f6673,plain,
( spl96_458
| ~ spl96_22
| ~ spl96_82 ),
inference(avatar_split_clause,[],[f1464,f1413,f1129,f6670]) ).
fof(f6670,plain,
( spl96_458
<=> sdtlseqdt0(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_458])]) ).
fof(f1464,plain,
( sdtlseqdt0(xi,xi)
| ~ spl96_22
| ~ spl96_82 ),
inference(resolution,[],[f1414,f1131]) ).
fof(f6668,plain,
( spl96_457
| ~ spl96_23
| ~ spl96_82 ),
inference(avatar_split_clause,[],[f1463,f1413,f1134,f6665]) ).
fof(f6665,plain,
( spl96_457
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_457])]) ).
fof(f1463,plain,
( sdtlseqdt0(xk,xk)
| ~ spl96_23
| ~ spl96_82 ),
inference(resolution,[],[f1414,f1136]) ).
fof(f6663,plain,
( spl96_456
| ~ spl96_20
| ~ spl96_82 ),
inference(avatar_split_clause,[],[f1462,f1413,f1119,f6660]) ).
fof(f6660,plain,
( spl96_456
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_456])]) ).
fof(f1462,plain,
( sdtlseqdt0(xK,xK)
| ~ spl96_20
| ~ spl96_82 ),
inference(resolution,[],[f1414,f1121]) ).
fof(f6658,plain,
( spl96_455
| ~ spl96_22
| ~ spl96_81 ),
inference(avatar_split_clause,[],[f1453,f1409,f1129,f6655]) ).
fof(f6655,plain,
( spl96_455
<=> isFinite0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_455])]) ).
fof(f1453,plain,
( isFinite0(slbdtrb0(xi))
| ~ spl96_22
| ~ spl96_81 ),
inference(resolution,[],[f1410,f1131]) ).
fof(f6653,plain,
( spl96_454
| ~ spl96_23
| ~ spl96_81 ),
inference(avatar_split_clause,[],[f1452,f1409,f1134,f6650]) ).
fof(f6650,plain,
( spl96_454
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_454])]) ).
fof(f1452,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl96_23
| ~ spl96_81 ),
inference(resolution,[],[f1410,f1136]) ).
fof(f6648,plain,
( spl96_453
| ~ spl96_20
| ~ spl96_81 ),
inference(avatar_split_clause,[],[f1451,f1409,f1119,f6645]) ).
fof(f6645,plain,
( spl96_453
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_453])]) ).
fof(f1451,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl96_20
| ~ spl96_81 ),
inference(resolution,[],[f1410,f1121]) ).
fof(f6639,plain,
( ~ spl96_117
| ~ spl96_13
| spl96_452
| spl96_1
| ~ spl96_291 ),
inference(avatar_split_clause,[],[f3160,f2921,f1024,f6636,f1084,f1631]) ).
fof(f1631,plain,
( spl96_117
<=> aElement0(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_117])]) ).
fof(f6636,plain,
( spl96_452
<=> xS = sdtmndt0(sdtpldt0(xS,sK48),sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_452])]) ).
fof(f1024,plain,
( spl96_1
<=> aElementOf0(sK48,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_1])]) ).
fof(f3160,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK48),sK48)
| ~ aSet0(xS)
| ~ aElement0(sK48)
| spl96_1
| ~ spl96_291 ),
inference(resolution,[],[f2922,f1026]) ).
fof(f1026,plain,
( ~ aElementOf0(sK48,xS)
| spl96_1 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f6634,plain,
spl96_451,
inference(avatar_split_clause,[],[f731,f6632]) ).
fof(f6632,plain,
( spl96_451
<=> ! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| sbrdtbr0(sK65(X0,X1,X2)) != X1
| aElementOf0(sK66(X0,X1,X2),sK65(X0,X1,X2))
| ~ aSet0(sK65(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_451])]) ).
fof(f731,plain,
! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| sbrdtbr0(sK65(X0,X1,X2)) != X1
| aElementOf0(sK66(X0,X1,X2),sK65(X0,X1,X2))
| ~ aSet0(sK65(X0,X1,X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0,X1,X2] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK65(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK65(X0,X1,X2),X0)
& ( ( ~ aElementOf0(sK66(X0,X1,X2),X0)
& aElementOf0(sK66(X0,X1,X2),sK65(X0,X1,X2)) )
| ~ aSet0(sK65(X0,X1,X2)) ) ) )
& aElementOf0(sK65(X0,X1,X2),szDzozmdt0(X2)) )
| ~ sP18(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65,sK66])],[f407,f409,f408]) ).
fof(f408,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP17(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
=> ( sP17(X2,sK65(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK65(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK65(X0,X1,X2),X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK65(X0,X1,X2)) )
| ~ aSet0(sK65(X0,X1,X2)) ) ) )
& aElementOf0(sK65(X0,X1,X2),szDzozmdt0(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f409,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK65(X0,X1,X2)) )
=> ( ~ aElementOf0(sK66(X0,X1,X2),X0)
& aElementOf0(sK66(X0,X1,X2),sK65(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f407,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP17(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
| ~ sP18(X0,X1,X2) ),
inference(rectify,[],[f406]) ).
fof(f406,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP17(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP18(X1,X0,X3) ),
inference(nnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP17(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP18(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f6630,plain,
spl96_450,
inference(avatar_split_clause,[],[f732,f6628]) ).
fof(f6628,plain,
( spl96_450
<=> ! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| sbrdtbr0(sK65(X0,X1,X2)) != X1
| ~ aElementOf0(sK66(X0,X1,X2),X0)
| ~ aSet0(sK65(X0,X1,X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_450])]) ).
fof(f732,plain,
! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| sbrdtbr0(sK65(X0,X1,X2)) != X1
| ~ aElementOf0(sK66(X0,X1,X2),X0)
| ~ aSet0(sK65(X0,X1,X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f410]) ).
fof(f6596,plain,
spl96_449,
inference(avatar_split_clause,[],[f931,f6594]) ).
fof(f6594,plain,
( spl96_449
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_449])]) ).
fof(f931,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f525,plain,
! [X0,X1,X2] :
( ( sP45(X0,X1,X2)
| ( ( sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) )
& ( ( sK92(X0,X1,X2) != X0
& aElementOf0(sK92(X0,X1,X2),X1)
& aElement0(sK92(X0,X1,X2)) )
| aElementOf0(sK92(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) ) )
| ~ sP45(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92])],[f523,f524]) ).
fof(f524,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) ) )
=> ( ( sK92(X0,X1,X2) = X0
| ~ aElementOf0(sK92(X0,X1,X2),X1)
| ~ aElement0(sK92(X0,X1,X2))
| ~ aElementOf0(sK92(X0,X1,X2),X2) )
& ( ( sK92(X0,X1,X2) != X0
& aElementOf0(sK92(X0,X1,X2),X1)
& aElement0(sK92(X0,X1,X2)) )
| aElementOf0(sK92(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f523,plain,
! [X0,X1,X2] :
( ( sP45(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) ) )
| ~ sP45(X0,X1,X2) ) ),
inference(rectify,[],[f522]) ).
fof(f522,plain,
! [X1,X0,X2] :
( ( sP45(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) ) )
| ~ sP45(X1,X0,X2) ) ),
inference(flattening,[],[f521]) ).
fof(f521,plain,
! [X1,X0,X2] :
( ( sP45(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) ) )
| ~ sP45(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X1,X0,X2] :
( sP45(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f6592,plain,
spl96_448,
inference(avatar_split_clause,[],[f911,f6590]) ).
fof(f6590,plain,
( spl96_448
<=> ! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_448])]) ).
fof(f911,plain,
! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f513,plain,
! [X0,X1,X2] :
( ( sP42(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
& aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK90(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) )
| ~ sP42(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f511,f512]) ).
fof(f512,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,sK90(X0,X1,X2)) != X0
| ~ aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK90(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
& aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK90(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f511,plain,
! [X0,X1,X2] :
( ( sP42(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) )
| ~ sP42(X0,X1,X2) ) ),
inference(rectify,[],[f510]) ).
fof(f510,plain,
! [X1,X0,X2] :
( ( sP42(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) )
| ~ sP42(X1,X0,X2) ) ),
inference(flattening,[],[f509]) ).
fof(f509,plain,
! [X1,X0,X2] :
( ( sP42(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) )
| ~ sP42(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X1,X0,X2] :
( sP42(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f6584,plain,
spl96_447,
inference(avatar_split_clause,[],[f582,f6582]) ).
fof(f6582,plain,
( spl96_447
<=> ! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_447])]) ).
fof(f582,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ( ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK51(X0,X1),X1) )
| ~ aSet0(X1) ) ) )
& sP0(X1,X0) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f326,f327]) ).
fof(f327,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK51(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& sP0(X1,X0) )
| ~ sP6(X0) ),
inference(rectify,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f6576,plain,
spl96_446,
inference(avatar_split_clause,[],[f615,f6574]) ).
fof(f6574,plain,
( spl96_446
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK53(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_446])]) ).
fof(f615,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK53(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ~ aElementOf0(sK53(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK53(X0,X1),X1) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f128,f345]) ).
fof(f345,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK53(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK53(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f6425,plain,
( ~ spl96_221
| spl96_445
| ~ spl96_88
| ~ spl96_405 ),
inference(avatar_split_clause,[],[f5612,f5459,f1439,f6422,f2373]) ).
fof(f2373,plain,
( spl96_221
<=> sP41(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_221])]) ).
fof(f6422,plain,
( spl96_445
<=> sP40(sK48,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_445])]) ).
fof(f5459,plain,
( spl96_405
<=> slcrc0 = slbdtrb0(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_405])]) ).
fof(f5612,plain,
( sP40(sK48,slcrc0)
| ~ sP41(sK48)
| ~ spl96_88
| ~ spl96_405 ),
inference(superposition,[],[f1440,f5461]) ).
fof(f5461,plain,
( slcrc0 = slbdtrb0(sK48)
| ~ spl96_405 ),
inference(avatar_component_clause,[],[f5459]) ).
fof(f6284,plain,
spl96_444,
inference(avatar_split_clause,[],[f951,f6282]) ).
fof(f6282,plain,
( spl96_444
<=> ! [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,[spl96_444])]) ).
fof(f951,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,[],[f232]) ).
fof(f232,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,[],[f231]) ).
fof(f231,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(f6280,plain,
spl96_443,
inference(avatar_split_clause,[],[f949,f6278]) ).
fof(f6278,plain,
( spl96_443
<=> ! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_443])]) ).
fof(f949,plain,
! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f537,plain,
! [X0,X1,X2] :
( ( sP46(X0,X1,X2)
| ( ( sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK95(X0,X1,X2)) = X0
& aSubsetOf0(sK95(X0,X1,X2),X1) )
| aElementOf0(sK95(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) )
| ~ sP46(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f535,f536]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK95(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK95(X0,X1,X2),X1)
| ~ aElementOf0(sK95(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK95(X0,X1,X2)) = X0
& aSubsetOf0(sK95(X0,X1,X2),X1) )
| aElementOf0(sK95(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f535,plain,
! [X0,X1,X2] :
( ( sP46(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) )
| ~ sP46(X0,X1,X2) ) ),
inference(rectify,[],[f534]) ).
fof(f534,plain,
! [X1,X0,X2] :
( ( sP46(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) )
| ~ sP46(X1,X0,X2) ) ),
inference(flattening,[],[f533]) ).
fof(f533,plain,
! [X1,X0,X2] :
( ( sP46(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) )
| ~ sP46(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X1,X0,X2] :
( sP46(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f6270,plain,
( spl96_442
| ~ spl96_394
| ~ spl96_441 ),
inference(avatar_split_clause,[],[f6266,f6263,f5189,f6268]) ).
fof(f6266,plain,
( ! [X2,X0,X1] :
( sK48 = X0
| aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_394
| ~ spl96_441 ),
inference(forward_demodulation,[],[f6264,f5191]) ).
fof(f5191,plain,
( sz00 = sK48
| ~ spl96_394 ),
inference(avatar_component_clause,[],[f5189]) ).
fof(f6265,plain,
spl96_441,
inference(avatar_split_clause,[],[f880,f6263]) ).
fof(f880,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,[],[f191]) ).
fof(f191,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,[],[f190]) ).
fof(f190,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(f6176,plain,
spl96_440,
inference(avatar_split_clause,[],[f791,f6174]) ).
fof(f6174,plain,
( spl96_440
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_440])]) ).
fof(f791,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f447]) ).
fof(f447,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP31(X0) ),
inference(rectify,[],[f446]) ).
fof(f446,plain,
! [X0] :
( ! [X6] :
( ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElement0(X6) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP31(X0) ),
inference(flattening,[],[f445]) ).
fof(f445,plain,
! [X0] :
( ! [X6] :
( ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElement0(X6) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP31(X0) ),
inference(nnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
| ~ sP31(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f6172,plain,
spl96_439,
inference(avatar_split_clause,[],[f764,f6170]) ).
fof(f6170,plain,
( spl96_439
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_439])]) ).
fof(f764,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP25(X0) ),
inference(rectify,[],[f426]) ).
fof(f426,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP25(X0) ),
inference(flattening,[],[f425]) ).
fof(f425,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP25(X0) ),
inference(nnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP25(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f6168,plain,
spl96_438,
inference(avatar_split_clause,[],[f758,f6166]) ).
fof(f6166,plain,
( spl96_438
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_438])]) ).
fof(f758,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP27(X0) ),
inference(rectify,[],[f419]) ).
fof(f419,plain,
! [X0] :
( ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP27(X0) ),
inference(flattening,[],[f418]) ).
fof(f418,plain,
! [X0] :
( ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP27(X0) ),
inference(nnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
| ~ sP27(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f6164,plain,
spl96_437,
inference(avatar_split_clause,[],[f733,f6162]) ).
fof(f6162,plain,
( spl96_437
<=> ! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| sbrdtbr0(sK65(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK65(X0,X1,X2),X0)
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_437])]) ).
fof(f733,plain,
! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| sbrdtbr0(sK65(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK65(X0,X1,X2),X0)
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f410]) ).
fof(f6160,plain,
spl96_436,
inference(avatar_split_clause,[],[f706,f6158]) ).
fof(f6158,plain,
( spl96_436
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_436])]) ).
fof(f706,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP12(X0) ),
inference(rectify,[],[f382]) ).
fof(f382,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP12(X0) ),
inference(flattening,[],[f381]) ).
fof(f381,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f6156,plain,
spl96_435,
inference(avatar_split_clause,[],[f629,f6154]) ).
fof(f6154,plain,
( spl96_435
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_435])]) ).
fof(f629,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP9(X0) ),
inference(rectify,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP9(X0) ),
inference(flattening,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f6152,plain,
spl96_434,
inference(avatar_split_clause,[],[f604,f6150]) ).
fof(f6150,plain,
( spl96_434
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_434])]) ).
fof(f604,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f341]) ).
fof(f341,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP1(X0) ),
inference(flattening,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6148,plain,
spl96_433,
inference(avatar_split_clause,[],[f587,f6146]) ).
fof(f6146,plain,
( spl96_433
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_433])]) ).
fof(f587,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ! [X10] :
( ( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X10
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aElement0(X10) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) )
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP5(X0) ),
inference(flattening,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ! [X10] :
( ( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X10
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aElement0(X10) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) )
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6136,plain,
( spl96_432
| ~ spl96_44
| ~ spl96_394 ),
inference(avatar_split_clause,[],[f5256,f5189,f1231,f6133]) ).
fof(f5256,plain,
( xS = sdtlpdtrp0(xN,sK48)
| ~ spl96_44
| ~ spl96_394 ),
inference(superposition,[],[f1233,f5191]) ).
fof(f6131,plain,
spl96_431,
inference(avatar_split_clause,[],[f770,f6129]) ).
fof(f6129,plain,
( spl96_431
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK70(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_431])]) ).
fof(f770,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK70(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0,X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ~ aElementOf0(sK70(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(sK70(X1,X2),X2) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f432,f433]) ).
fof(f433,plain,
! [X1,X2] :
( ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK70(X1,X2),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(sK70(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f432,plain,
! [X0,X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X0,X1) ),
inference(rectify,[],[f431]) ).
fof(f431,plain,
! [X1,X0] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X1,X0) ),
inference(nnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X1,X0] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ sP30(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f6127,plain,
spl96_430,
inference(avatar_split_clause,[],[f711,f6125]) ).
fof(f6125,plain,
( spl96_430
<=> ! [X2,X0,X1] :
( sP22(X1,X2,sK60(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_430])]) ).
fof(f711,plain,
! [X2,X0,X1] :
( sP22(X1,X2,sK60(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f387]) ).
fof(f387,plain,
! [X0,X1] :
( ! [X2] :
( ( sP22(X1,X2,sK60(X0,X1,X2),X0)
& aElementOf0(sK60(X0,X1,X2),xT) )
| ~ iLess0(X1,xK)
| sP23(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP18(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP24(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f385,f386]) ).
fof(f386,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP22(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
=> ( sP22(X1,X2,sK60(X0,X1,X2),X0)
& aElementOf0(sK60(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f385,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( sP22(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
| ~ iLess0(X1,xK)
| sP23(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP18(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP24(X0,X1) ),
inference(rectify,[],[f384]) ).
fof(f384,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP22(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP23(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP18(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP24(X1,X0) ),
inference(nnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP22(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP23(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP18(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP24(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f6116,plain,
spl96_429,
inference(avatar_split_clause,[],[f616,f6114]) ).
fof(f6114,plain,
( spl96_429
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_429])]) ).
fof(f616,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f6025,plain,
spl96_428,
inference(avatar_split_clause,[],[f836,f6023]) ).
fof(f6023,plain,
( spl96_428
<=> ! [X4,X0,X2,X1] :
( sP38(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_428])]) ).
fof(f836,plain,
! [X2,X0,X1,X4] :
( sP38(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f473,plain,
! [X0,X1,X2] :
( ( sP38(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK78(X0,X1,X2),X2) )
& ( ( sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
& aElementOf0(sK79(X0,X1,X2),X1) )
| aElementOf0(sK78(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
& aElementOf0(sK80(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP38(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79,sK80])],[f469,f472,f471,f470]) ).
fof(f470,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) != sK78(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK78(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK78(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK78(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f471,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK78(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
& aElementOf0(sK79(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f472,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
& aElementOf0(sK80(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f469,plain,
! [X0,X1,X2] :
( ( sP38(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) )
| ~ sP38(X0,X1,X2) ) ),
inference(rectify,[],[f468]) ).
fof(f468,plain,
! [X0,X1,X2] :
( ( sP38(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) )
| ~ sP38(X0,X1,X2) ) ),
inference(flattening,[],[f467]) ).
fof(f467,plain,
! [X0,X1,X2] :
( ( sP38(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) )
| ~ sP38(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0,X1,X2] :
( sP38(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f6021,plain,
spl96_427,
inference(avatar_split_clause,[],[f835,f6019]) ).
fof(f6019,plain,
( spl96_427
<=> ! [X2,X0,X1] :
( sP38(X0,X1,X2)
| sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_427])]) ).
fof(f835,plain,
! [X2,X0,X1] :
( sP38(X0,X1,X2)
| sK78(X0,X1,X2) = sdtlpdtrp0(X0,sK79(X0,X1,X2))
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f6010,plain,
spl96_426,
inference(avatar_split_clause,[],[f614,f6008]) ).
fof(f6008,plain,
( spl96_426
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| aElementOf0(sK53(X0,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_426])]) ).
fof(f614,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| aElementOf0(sK53(X0,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f5740,plain,
spl96_425,
inference(avatar_split_clause,[],[f983,f5738]) ).
fof(f983,plain,
! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK77(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK77(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f826]) ).
fof(f826,plain,
! [X2,X0,X1] :
( sP36(X0,X1,X2)
| sdtlpdtrp0(X0,sK77(X0,X1,X2)) != sdtlpdtrp0(X1,sK77(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f464]) ).
fof(f464,plain,
! [X0,X1,X2] :
( ( sP36(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK77(X0,X1,X2)) != sdtlpdtrp0(X1,sK77(X0,X1,X2))
& aElementOf0(sK77(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP36(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77])],[f462,f463]) ).
fof(f463,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK77(X0,X1,X2)) != sdtlpdtrp0(X1,sK77(X0,X1,X2))
& aElementOf0(sK77(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f462,plain,
! [X0,X1,X2] :
( ( sP36(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) )
| ~ sP36(X0,X1,X2) ) ),
inference(rectify,[],[f461]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ( sP36(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) )
| ~ sP36(X2,X0,X1) ) ),
inference(flattening,[],[f460]) ).
fof(f460,plain,
! [X2,X0,X1] :
( ( sP36(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) )
| ~ sP36(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X2,X0,X1] :
( sP36(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,[sP36])]) ).
fof(f5736,plain,
spl96_424,
inference(avatar_split_clause,[],[f971,f5734]) ).
fof(f5734,plain,
( spl96_424
<=> ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2),sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_424])]) ).
fof(f971,plain,
! [X2,X0] :
( aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2),sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP11(X0) ),
inference(equality_resolution,[],[f677]) ).
fof(f677,plain,
! [X2,X0,X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK58(X0,X1)) = X1
& aElementOf0(sK58(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f368,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK58(X0,X1)) = X1
& aElementOf0(sK58(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f367]) ).
fof(f367,plain,
! [X0] :
( ! [X2] :
( ( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) != X2
| ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f5732,plain,
spl96_423,
inference(avatar_split_clause,[],[f918,f5730]) ).
fof(f5730,plain,
( spl96_423
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1)
| aElementOf0(sK91(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_423])]) ).
fof(f918,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1)
| aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f518,plain,
! [X0,X1,X2] :
( ( sP44(X0,X1,X2)
| ( ( ( sK91(X0,X1,X2) != X0
& ~ aElementOf0(sK91(X0,X1,X2),X1) )
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) )
& ( ( ( sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1) )
& aElement0(sK91(X0,X1,X2)) )
| aElementOf0(sK91(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) ) )
| ~ sP44(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f516,f517]) ).
fof(f517,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) ) )
=> ( ( ( sK91(X0,X1,X2) != X0
& ~ aElementOf0(sK91(X0,X1,X2),X1) )
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) )
& ( ( ( sK91(X0,X1,X2) = X0
| aElementOf0(sK91(X0,X1,X2),X1) )
& aElement0(sK91(X0,X1,X2)) )
| aElementOf0(sK91(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f516,plain,
! [X0,X1,X2] :
( ( sP44(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) ) )
| ~ sP44(X0,X1,X2) ) ),
inference(rectify,[],[f515]) ).
fof(f515,plain,
! [X1,X0,X2] :
( ( sP44(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) ) )
| ~ sP44(X1,X0,X2) ) ),
inference(flattening,[],[f514]) ).
fof(f514,plain,
! [X1,X0,X2] :
( ( sP44(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) ) )
| ~ sP44(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X1,X0,X2] :
( sP44(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f5728,plain,
spl96_422,
inference(avatar_split_clause,[],[f785,f5726]) ).
fof(f5726,plain,
( spl96_422
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aElementOf0(sK73(X2,X3),X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_422])]) ).
fof(f785,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aElementOf0(sK73(X2,X3),X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f444]) ).
fof(f444,plain,
! [X0,X1,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ~ aElementOf0(sK73(X2,X3),X2)
& aElementOf0(sK73(X2,X3),X3) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f442,f443]) ).
fof(f443,plain,
! [X2,X3] :
( ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) )
=> ( ~ aElementOf0(sK73(X2,X3),X2)
& aElementOf0(sK73(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f442,plain,
! [X0,X1,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X0,X1,X2) ),
inference(rectify,[],[f441]) ).
fof(f441,plain,
! [X1,X0,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X1,X0,X2) ),
inference(nnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X1,X0,X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
| ~ sP32(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f5724,plain,
spl96_421,
inference(avatar_split_clause,[],[f784,f5722]) ).
fof(f5722,plain,
( spl96_421
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| aElementOf0(sK73(X2,X3),X3)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_421])]) ).
fof(f784,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| aElementOf0(sK73(X2,X3),X3)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f444]) ).
fof(f5720,plain,
spl96_420,
inference(avatar_split_clause,[],[f771,f5718]) ).
fof(f5718,plain,
( spl96_420
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_420])]) ).
fof(f771,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
fof(f5716,plain,
spl96_419,
inference(avatar_split_clause,[],[f710,f5714]) ).
fof(f5714,plain,
( spl96_419
<=> ! [X2,X0,X1] :
( sP22(X1,X2,sK60(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_419])]) ).
fof(f710,plain,
! [X2,X0,X1] :
( sP22(X1,X2,sK60(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f387]) ).
fof(f5712,plain,
spl96_418,
inference(avatar_split_clause,[],[f709,f5710]) ).
fof(f5710,plain,
( spl96_418
<=> ! [X2,X0,X1] :
( aElementOf0(sK60(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_418])]) ).
fof(f709,plain,
! [X2,X0,X1] :
( aElementOf0(sK60(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f387]) ).
fof(f5708,plain,
spl96_417,
inference(avatar_split_clause,[],[f606,f5706]) ).
fof(f5706,plain,
( spl96_417
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_417])]) ).
fof(f606,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0,X1] :
( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(rectify,[],[f343]) ).
fof(f343,plain,
! [X7,X0] :
( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP0(X7,X0) ),
inference(nnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X7,X0] :
( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP0(X7,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5704,plain,
spl96_416,
inference(avatar_split_clause,[],[f583,f5702]) ).
fof(f5702,plain,
( spl96_416
<=> ! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_416])]) ).
fof(f583,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f5700,plain,
( spl96_415
| ~ spl96_309
| ~ spl96_405 ),
inference(avatar_split_clause,[],[f5606,f5459,f3255,f5697]) ).
fof(f3255,plain,
( spl96_309
<=> sK48 = sbrdtbr0(slbdtrb0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_309])]) ).
fof(f5606,plain,
( sK48 = sbrdtbr0(slcrc0)
| ~ spl96_309
| ~ spl96_405 ),
inference(superposition,[],[f3257,f5461]) ).
fof(f3257,plain,
( sK48 = sbrdtbr0(slbdtrb0(sK48))
| ~ spl96_309 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f5661,plain,
spl96_414,
inference(avatar_split_clause,[],[f766,f5659]) ).
fof(f5659,plain,
( spl96_414
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK69(X1,X2),X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_414])]) ).
fof(f766,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK69(X1,X2),X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f430]) ).
fof(f430,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP28(X0,X2)
| ( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,X1)
& ~ aElementOf0(sK69(X1,X2),X1)
& aElementOf0(sK69(X1,X2),X2) ) ) )
| ~ aSet0(X2) )
| ~ isCountable0(X1)
| sP29(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f428,f429]) ).
fof(f429,plain,
! [X1,X2] :
( ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK69(X1,X2),X1)
& aElementOf0(sK69(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f428,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP28(X0,X2)
| ( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,X1)
& ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
| ~ isCountable0(X1)
| sP29(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ! [X5] :
( sP28(X0,X5)
| ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( ~ aElementOf0(X6,X1)
& aElementOf0(X6,X5) ) ) ) )
| ~ aSet0(X5) )
| ~ isCountable0(X1)
| sP29(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f140,f283,f282,f281,f280,f279]) ).
fof(f280,plain,
! [X0,X1] :
( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f282,plain,
! [X0,X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f283,plain,
! [X0,X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP26(X0,X1)
& sP25(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP29(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( ~ aElementOf0(X6,X1)
& aElementOf0(X6,X5) ) ) ) )
| ~ aSet0(X5) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( ~ aElementOf0(X6,X1)
& aElementOf0(X6,X5) ) ) ) )
| ~ aSet0(X5) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ) )
=> ! [X5] :
( ( ( aElementOf0(X5,slbdtsldtrb0(X1,xk))
| ( sbrdtbr0(X5) = xk
& ( aSubsetOf0(X5,X1)
| ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X1) ) ) ) )
& aSet0(X5) )
=> ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,X5)
=> aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ) )
=> ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,X1)
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) )
& aSet0(X2) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4331) ).
fof(f5657,plain,
spl96_413,
inference(avatar_split_clause,[],[f765,f5655]) ).
fof(f5655,plain,
( spl96_413
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| aElementOf0(sK69(X1,X2),X2)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_413])]) ).
fof(f765,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| aElementOf0(sK69(X1,X2),X2)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f430]) ).
fof(f5653,plain,
spl96_412,
inference(avatar_split_clause,[],[f617,f5651]) ).
fof(f5651,plain,
( spl96_412
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_412])]) ).
fof(f617,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f5577,plain,
spl96_411,
inference(avatar_split_clause,[],[f919,f5575]) ).
fof(f5575,plain,
( spl96_411
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| ~ aElementOf0(sK91(X0,X1,X2),X1)
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_411])]) ).
fof(f919,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| ~ aElementOf0(sK91(X0,X1,X2),X1)
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f5573,plain,
spl96_410,
inference(avatar_split_clause,[],[f878,f5571]) ).
fof(f5571,plain,
( spl96_410
<=> ! [X0,X1] :
( sP40(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_410])]) ).
fof(f878,plain,
! [X0,X1] :
( sP40(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
& aElementOf0(sK85(X0,X1),szNzAzT0) )
| aElementOf0(sK85(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) )
| ~ sP40(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85])],[f488,f489]) ).
fof(f489,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(sK85(X0,X1)),X0)
| ~ aElementOf0(sK85(X0,X1),szNzAzT0)
| ~ aElementOf0(sK85(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
& aElementOf0(sK85(X0,X1),szNzAzT0) )
| aElementOf0(sK85(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f488,plain,
! [X0,X1] :
( ( sP40(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) )
| ~ sP40(X0,X1) ) ),
inference(rectify,[],[f487]) ).
fof(f487,plain,
! [X0,X1] :
( ( sP40(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) )
| ~ sP40(X0,X1) ) ),
inference(flattening,[],[f486]) ).
fof(f486,plain,
! [X0,X1] :
( ( sP40(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) )
| ~ sP40(X0,X1) ) ),
inference(nnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( sP40(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f5569,plain,
spl96_409,
inference(avatar_split_clause,[],[f843,f5567]) ).
fof(f5567,plain,
( spl96_409
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_409])]) ).
fof(f843,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f475,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
& sK81(X0) != sK82(X0)
& aElementOf0(sK82(X0),szDzozmdt0(X0))
& aElementOf0(sK81(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f166,f474]) ).
fof(f474,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK82(X0)) = sdtlpdtrp0(X0,sK81(X0))
& sK81(X0) != sK82(X0)
& aElementOf0(sK82(X0),szDzozmdt0(X0))
& aElementOf0(sK81(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f166,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,[],[f165]) ).
fof(f165,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(f5565,plain,
spl96_408,
inference(avatar_split_clause,[],[f769,f5563]) ).
fof(f5563,plain,
( spl96_408
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| aElementOf0(sK70(X1,X2),X2)
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_408])]) ).
fof(f769,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| sbrdtbr0(X2) != xk
| aElementOf0(sK70(X1,X2),X2)
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
fof(f5561,plain,
spl96_407,
inference(avatar_split_clause,[],[f676,f5559]) ).
fof(f5559,plain,
( spl96_407
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK58(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_407])]) ).
fof(f676,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK58(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f5557,plain,
spl96_406,
inference(avatar_split_clause,[],[f579,f5555]) ).
fof(f5555,plain,
( spl96_406
<=> ! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_406])]) ).
fof(f579,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f5462,plain,
( spl96_405
| ~ spl96_40
| ~ spl96_394 ),
inference(avatar_split_clause,[],[f5255,f5189,f1212,f5459]) ).
fof(f5255,plain,
( slcrc0 = slbdtrb0(sK48)
| ~ spl96_40
| ~ spl96_394 ),
inference(superposition,[],[f1214,f5191]) ).
fof(f5269,plain,
spl96_404,
inference(avatar_split_clause,[],[f940,f5267]) ).
fof(f940,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f531,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
& isFinite0(sK94(X0,X1,X2))
& aSubsetOf0(sK94(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK94])],[f228,f530]) ).
fof(f530,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK94(X0,X1,X2),X1))
& isFinite0(sK94(X0,X1,X2))
& aSubsetOf0(sK94(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f228,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,[],[f227]) ).
fof(f227,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(f5265,plain,
spl96_403,
inference(avatar_split_clause,[],[f910,f5263]) ).
fof(f910,plain,
! [X2,X0,X1] :
( sP42(X0,X1,X2)
| sdtlpdtrp0(X1,sK90(X0,X1,X2)) = X0
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f5253,plain,
spl96_402,
inference(avatar_split_clause,[],[f891,f5251]) ).
fof(f5251,plain,
( spl96_402
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK86(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_402])]) ).
fof(f891,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK86(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f495]) ).
fof(f495,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK86(X0,X1),X1)
& aElementOf0(sK86(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,[sK86])],[f493,f494]) ).
fof(f494,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK86(X0,X1),X1)
& aElementOf0(sK86(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f493,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,[],[f492]) ).
fof(f492,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,[],[f491]) ).
fof(f491,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,[],[f207]) ).
fof(f207,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,[],[f206]) ).
fof(f206,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(f5249,plain,
spl96_401,
inference(avatar_split_clause,[],[f890,f5247]) ).
fof(f5247,plain,
( spl96_401
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK86(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_401])]) ).
fof(f890,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK86(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f495]) ).
fof(f5245,plain,
spl96_400,
inference(avatar_split_clause,[],[f786,f5243]) ).
fof(f5243,plain,
( spl96_400
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_400])]) ).
fof(f786,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| sbrdtbr0(X3) != xk
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f444]) ).
fof(f5241,plain,
spl96_399,
inference(avatar_split_clause,[],[f772,f5239]) ).
fof(f5239,plain,
( spl96_399
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_399])]) ).
fof(f772,plain,
! [X2,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2)
| ~ sP30(X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
fof(f5237,plain,
spl96_398,
inference(avatar_split_clause,[],[f708,f5235]) ).
fof(f5235,plain,
( spl96_398
<=> ! [X2,X0,X1] :
( aElementOf0(sK60(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_398])]) ).
fof(f708,plain,
! [X2,X0,X1] :
( aElementOf0(sK60(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP23(X2)
| sP18(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f387]) ).
fof(f5233,plain,
spl96_397,
inference(avatar_split_clause,[],[f697,f5231]) ).
fof(f5231,plain,
( spl96_397
<=> ! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_397])]) ).
fof(f697,plain,
! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f376]) ).
fof(f376,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& ~ aElementOf0(X2,X1) )
| ~ aElement0(X2) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) )
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP14(X0,X1) ),
inference(rectify,[],[f375]) ).
fof(f375,plain,
! [X0,X1] :
( ! [X6] :
( ( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& ~ aElementOf0(X6,X1) )
| ~ aElement0(X6) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) )
| ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP14(X0,X1) ),
inference(flattening,[],[f374]) ).
fof(f374,plain,
! [X0,X1] :
( ! [X6] :
( ( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& ~ aElementOf0(X6,X1) )
| ~ aElement0(X6) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) )
| ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP14(X0,X1) ),
inference(nnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
| ~ sP14(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f5229,plain,
spl96_396,
inference(avatar_split_clause,[],[f675,f5227]) ).
fof(f5227,plain,
( spl96_396
<=> ! [X0,X1] :
( aElementOf0(sK58(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_396])]) ).
fof(f675,plain,
! [X0,X1] :
( aElementOf0(sK58(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f5225,plain,
spl96_395,
inference(avatar_split_clause,[],[f595,f5223]) ).
fof(f5223,plain,
( spl96_395
<=> ! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_395])]) ).
fof(f595,plain,
! [X2,X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& ~ aElementOf0(X2,X1) )
| ~ aElement0(X2) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) )
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f334]) ).
fof(f334,plain,
! [X0,X1] :
( ! [X5] :
( ( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
& ~ aElementOf0(X5,X1) )
| ~ aElement0(X5) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) )
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP3(X0,X1) ),
inference(flattening,[],[f333]) ).
fof(f333,plain,
! [X0,X1] :
( ! [X5] :
( ( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
& ~ aElementOf0(X5,X1) )
| ~ aElement0(X5) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) )
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f5192,plain,
( spl96_393
| spl96_394
| ~ spl96_197
| ~ spl96_208 ),
inference(avatar_split_clause,[],[f2332,f2281,f2225,f5189,f5185]) ).
fof(f5185,plain,
( spl96_393
<=> sK48 = szszuzczcdt0(sK84(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_393])]) ).
fof(f2332,plain,
( sz00 = sK48
| sK48 = szszuzczcdt0(sK84(sK48))
| ~ spl96_197
| ~ spl96_208 ),
inference(resolution,[],[f2282,f2227]) ).
fof(f5183,plain,
spl96_392,
inference(avatar_split_clause,[],[f803,f5181]) ).
fof(f5181,plain,
( spl96_392
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_392])]) ).
fof(f803,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& sP35(X0,X1)
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f147,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f147,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f5179,plain,
spl96_391,
inference(avatar_split_clause,[],[f767,f5177]) ).
fof(f5177,plain,
( spl96_391
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_391])]) ).
fof(f767,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f430]) ).
fof(f4972,plain,
( spl96_390
| ~ spl96_189
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2278,f2225,f2139,f4970]) ).
fof(f4970,plain,
( spl96_390
<=> ! [X0] :
( sP15(sK48,X0)
| ~ aSet0(X0)
| sP16(sK48,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_390])]) ).
fof(f2278,plain,
( ! [X0] :
( sP15(sK48,X0)
| ~ aSet0(X0)
| sP16(sK48,X0) )
| ~ spl96_189
| ~ spl96_197 ),
inference(resolution,[],[f2227,f2140]) ).
fof(f4964,plain,
spl96_389,
inference(avatar_split_clause,[],[f972,f4962]) ).
fof(f4962,plain,
( spl96_389
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_389])]) ).
fof(f972,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP14(X0,X1) ),
inference(equality_resolution,[],[f699]) ).
fof(f699,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
| ~ aElement0(X2)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f376]) ).
fof(f4960,plain,
spl96_388,
inference(avatar_split_clause,[],[f966,f4958]) ).
fof(f966,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f597]) ).
fof(f597,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
| ~ aElement0(X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f4956,plain,
spl96_387,
inference(avatar_split_clause,[],[f948,f4954]) ).
fof(f948,plain,
! [X2,X0,X1] :
( sP46(X0,X1,X2)
| sbrdtbr0(sK95(X0,X1,X2)) = X0
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f4952,plain,
spl96_386,
inference(avatar_split_clause,[],[f909,f4950]) ).
fof(f4950,plain,
( spl96_386
<=> ! [X2,X0,X1] :
( sP42(X0,X1,X2)
| aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_386])]) ).
fof(f909,plain,
! [X2,X0,X1] :
( sP42(X0,X1,X2)
| aElementOf0(sK90(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK90(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f4948,plain,
spl96_385,
inference(avatar_split_clause,[],[f801,f4946]) ).
fof(f4946,plain,
( spl96_385
<=> ! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK76(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_385])]) ).
fof(f801,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK76(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(cnf_transformation,[],[f457]) ).
fof(f457,plain,
! [X0,X1] :
( ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK76(X0,X1))
& aElementOf0(sK76(X0,X1),sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76])],[f455,f456]) ).
fof(f456,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
=> ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK76(X0,X1))
& aElementOf0(sK76(X0,X1),sdtlpdtrp0(xN,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f455,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(rectify,[],[f454]) ).
fof(f454,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(nnf_transformation,[],[f293]) ).
fof(f4944,plain,
spl96_384,
inference(avatar_split_clause,[],[f730,f4942]) ).
fof(f4942,plain,
( spl96_384
<=> ! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| aElementOf0(sK65(X0,X1,X2),szDzozmdt0(X2))
| ~ sP18(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_384])]) ).
fof(f730,plain,
! [X2,X0,X1] :
( sP17(X2,sK65(X0,X1,X2),X1,X0)
| aElementOf0(sK65(X0,X1,X2),szDzozmdt0(X2))
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f410]) ).
fof(f4940,plain,
spl96_383,
inference(avatar_split_clause,[],[f701,f4938]) ).
fof(f4938,plain,
( spl96_383
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK59(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_383])]) ).
fof(f701,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK59(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f380]) ).
fof(f380,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ~ aElementOf0(sK59(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK59(X0,X1),X0) )
| ~ sP13(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f378,f379]) ).
fof(f379,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) )
=> ( ~ aElementOf0(sK59(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK59(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f378,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) ) )
| ~ sP13(X0,X1) ),
inference(rectify,[],[f377]) ).
fof(f377,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP13(X1,X0) ),
inference(nnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP13(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f4936,plain,
spl96_382,
inference(avatar_split_clause,[],[f607,f4934]) ).
fof(f607,plain,
! [X0,X1] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f344]) ).
fof(f4932,plain,
( spl96_381
| ~ spl96_185
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2277,f2225,f2123,f4929]) ).
fof(f4929,plain,
( spl96_381
<=> szmzizndt0(sdtlpdtrp0(xN,sK48)) = sdtlpdtrp0(xe,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_381])]) ).
fof(f2277,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK48)) = sdtlpdtrp0(xe,sK48)
| ~ spl96_185
| ~ spl96_197 ),
inference(resolution,[],[f2227,f2124]) ).
fof(f4927,plain,
spl96_380,
inference(avatar_split_clause,[],[f599,f4925]) ).
fof(f4925,plain,
( spl96_380
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK52(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_380])]) ).
fof(f599,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK52(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ~ aElementOf0(sK52(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK52(X0,X1),X0) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f337,f338]) ).
fof(f338,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) )
=> ( ~ aElementOf0(sK52(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(sK52(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& aElementOf0(X2,X0) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f336]) ).
fof(f336,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f4923,plain,
spl96_379,
inference(avatar_split_clause,[],[f581,f4921]) ).
fof(f4921,plain,
( spl96_379
<=> ! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| aElementOf0(sK51(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_379])]) ).
fof(f581,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| aElementOf0(sK51(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f4896,plain,
spl96_378,
inference(avatar_split_clause,[],[f806,f4894]) ).
fof(f806,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ 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))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f4442,plain,
spl96_377,
inference(avatar_split_clause,[],[f976,f4440]) ).
fof(f976,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK62(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f721]) ).
fof(f721,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| aElementOf0(sK62(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f397]) ).
fof(f397,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ( ~ aElementOf0(sK62(X3,X4),X3)
& aElementOf0(sK62(X3,X4),X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP21(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f395,f396]) ).
fof(f396,plain,
! [X3,X4] :
( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK62(X3,X4),X3)
& aElementOf0(sK62(X3,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f395,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP21(X0,X1,X2,X3) ),
inference(rectify,[],[f394]) ).
fof(f394,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP21(X10,X3,X0,X11) ),
inference(nnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP21(X10,X3,X0,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f4438,plain,
spl96_376,
inference(avatar_split_clause,[],[f975,f4436]) ).
fof(f975,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK62(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f722]) ).
fof(f722,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aElementOf0(sK62(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f397]) ).
fof(f4434,plain,
( spl96_375
| ~ spl96_25
| ~ spl96_63 ),
inference(avatar_split_clause,[],[f1335,f1323,f1144,f4431]) ).
fof(f1335,plain,
( sP41(sz00)
| ~ spl96_25
| ~ spl96_63 ),
inference(resolution,[],[f1324,f1146]) ).
fof(f4429,plain,
spl96_374,
inference(avatar_split_clause,[],[f963,f4427]) ).
fof(f4427,plain,
( spl96_374
<=> ! [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,[spl96_374])]) ).
fof(f963,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,[],[f248]) ).
fof(f248,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f247]) ).
fof(f247,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(f4425,plain,
spl96_373,
inference(avatar_split_clause,[],[f959,f4423]) ).
fof(f4423,plain,
( spl96_373
<=> ! [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,[spl96_373])]) ).
fof(f959,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f541]) ).
fof(f541,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,[],[f540]) ).
fof(f540,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,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f243]) ).
fof(f243,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(f4421,plain,
spl96_372,
inference(avatar_split_clause,[],[f947,f4419]) ).
fof(f947,plain,
! [X2,X0,X1] :
( sP46(X0,X1,X2)
| aSubsetOf0(sK95(X0,X1,X2),X1)
| aElementOf0(sK95(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f4417,plain,
spl96_371,
inference(avatar_split_clause,[],[f938,f4415]) ).
fof(f4415,plain,
( spl96_371
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK94(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_371])]) ).
fof(f938,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK94(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f4413,plain,
spl96_370,
inference(avatar_split_clause,[],[f897,f4411]) ).
fof(f4411,plain,
( spl96_370
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK88(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_370])]) ).
fof(f897,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK88(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f502]) ).
fof(f502,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK88(X0,X1))
& aElementOf0(sK88(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,[sK88])],[f500,f501]) ).
fof(f501,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK88(X0,X1))
& aElementOf0(sK88(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f500,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,[],[f499]) ).
fof(f499,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,[],[f498]) ).
fof(f498,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,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f210]) ).
fof(f210,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(f4409,plain,
spl96_369,
inference(avatar_split_clause,[],[f896,f4407]) ).
fof(f4407,plain,
( spl96_369
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK88(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_369])]) ).
fof(f896,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK88(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f502]) ).
fof(f4405,plain,
spl96_368,
inference(avatar_split_clause,[],[f834,f4403]) ).
fof(f834,plain,
! [X2,X0,X1] :
( sP38(X0,X1,X2)
| aElementOf0(sK79(X0,X1,X2),X1)
| aElementOf0(sK78(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f4401,plain,
spl96_367,
inference(avatar_split_clause,[],[f800,f4399]) ).
fof(f800,plain,
! [X0,X1] :
( aElementOf0(sK76(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP35(X0,X1) ),
inference(cnf_transformation,[],[f457]) ).
fof(f4397,plain,
spl96_366,
inference(avatar_split_clause,[],[f787,f4395]) ).
fof(f4395,plain,
( spl96_366
<=> ! [X0,X3,X2,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_366])]) ).
fof(f787,plain,
! [X2,X3,X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ~ aSet0(X3)
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f444]) ).
fof(f4393,plain,
spl96_365,
inference(avatar_split_clause,[],[f780,f4391]) ).
fof(f4391,plain,
( spl96_365
<=> ! [X0,X1,X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK72(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_365])]) ).
fof(f780,plain,
! [X3,X0,X1] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK72(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f440,plain,
! [X0,X1] :
( ( sP32(X1,X0,sK72(X0,X1))
& isCountable0(sK72(X0,X1))
& aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK72(X0,X1)) )
& aSet0(sK72(X0,X1))
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK72])],[f438,f439]) ).
fof(f439,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( sP32(X1,X0,sK72(X0,X1))
& isCountable0(sK72(X0,X1))
& aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK72(X0,X1)) )
& aSet0(sK72(X0,X1))
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f438,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(rectify,[],[f437]) ).
fof(f437,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(nnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f4389,plain,
spl96_364,
inference(avatar_split_clause,[],[f623,f4387]) ).
fof(f623,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
inference(rectify,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f4385,plain,
spl96_363,
inference(avatar_split_clause,[],[f577,f4383]) ).
fof(f4383,plain,
( spl96_363
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_363])]) ).
fof(f577,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f4363,plain,
spl96_362,
inference(avatar_split_clause,[],[f805,f4361]) ).
fof(f4361,plain,
( spl96_362
<=> ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_362])]) ).
fof(f805,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f4359,plain,
spl96_361,
inference(avatar_split_clause,[],[f768,f4357]) ).
fof(f4357,plain,
( spl96_361
<=> ! [X2,X0,X1] :
( sP28(X0,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_361])]) ).
fof(f768,plain,
! [X2,X0,X1] :
( sP28(X0,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aSet0(X2)
| ~ isCountable0(X1)
| sP29(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f430]) ).
fof(f4129,plain,
spl96_360,
inference(avatar_split_clause,[],[f939,f4127]) ).
fof(f4127,plain,
( spl96_360
<=> ! [X2,X0,X1] :
( isFinite0(sK94(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_360])]) ).
fof(f939,plain,
! [X2,X0,X1] :
( isFinite0(sK94(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f4125,plain,
spl96_359,
inference(avatar_split_clause,[],[f937,f4123]) ).
fof(f937,plain,
! [X0,X1] :
( sbrdtbr0(sK93(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0,X1] :
( ( sbrdtbr0(sK93(X0,X1)) = X1
& aSubsetOf0(sK93(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK93])],[f226,f528]) ).
fof(f528,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK93(X0,X1)) = X1
& aSubsetOf0(sK93(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f225]) ).
fof(f225,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(f4121,plain,
spl96_358,
inference(avatar_split_clause,[],[f882,f4119]) ).
fof(f882,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,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(f4117,plain,
spl96_357,
inference(avatar_split_clause,[],[f842,f4115]) ).
fof(f4115,plain,
( spl96_357
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK81(X0) != sK82(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_357])]) ).
fof(f842,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK81(X0) != sK82(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f4113,plain,
spl96_356,
inference(avatar_split_clause,[],[f841,f4111]) ).
fof(f4111,plain,
( spl96_356
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK82(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_356])]) ).
fof(f841,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK82(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f4109,plain,
spl96_355,
inference(avatar_split_clause,[],[f840,f4107]) ).
fof(f4107,plain,
( spl96_355
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK81(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_355])]) ).
fof(f840,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK81(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f4105,plain,
spl96_354,
inference(avatar_split_clause,[],[f789,f4103]) ).
fof(f4103,plain,
( spl96_354
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_354])]) ).
fof(f789,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f447]) ).
fof(f4101,plain,
spl96_353,
inference(avatar_split_clause,[],[f762,f4099]) ).
fof(f4099,plain,
( spl96_353
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_353])]) ).
fof(f762,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f4097,plain,
spl96_352,
inference(avatar_split_clause,[],[f760,f4095]) ).
fof(f760,plain,
! [X0,X1] :
( ~ aElementOf0(sK68(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
fof(f424,plain,
! [X0,X1] :
( ( ~ aElementOf0(sK68(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK68(X0,X1),X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f422,f423]) ).
fof(f423,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK68(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK68(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f422,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(rectify,[],[f421]) ).
fof(f421,plain,
! [X0,X1] :
( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(nnf_transformation,[],[f280]) ).
fof(f4093,plain,
spl96_351,
inference(avatar_split_clause,[],[f756,f4091]) ).
fof(f4091,plain,
( spl96_351
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_351])]) ).
fof(f756,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f420]) ).
fof(f4089,plain,
spl96_350,
inference(avatar_split_clause,[],[f704,f4087]) ).
fof(f4087,plain,
( spl96_350
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_350])]) ).
fof(f704,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f4085,plain,
spl96_349,
inference(avatar_split_clause,[],[f702,f4083]) ).
fof(f4083,plain,
( spl96_349
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_349])]) ).
fof(f702,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f380]) ).
fof(f4081,plain,
spl96_348,
inference(avatar_split_clause,[],[f627,f4079]) ).
fof(f4079,plain,
( spl96_348
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_348])]) ).
fof(f627,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f4077,plain,
spl96_347,
inference(avatar_split_clause,[],[f602,f4075]) ).
fof(f4075,plain,
( spl96_347
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_347])]) ).
fof(f602,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f4073,plain,
spl96_346,
inference(avatar_split_clause,[],[f600,f4071]) ).
fof(f4071,plain,
( spl96_346
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_346])]) ).
fof(f600,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f4069,plain,
spl96_345,
inference(avatar_split_clause,[],[f585,f4067]) ).
fof(f4067,plain,
( spl96_345
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_345])]) ).
fof(f585,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f4065,plain,
spl96_344,
inference(avatar_split_clause,[],[f574,f4063]) ).
fof(f574,plain,
! [X0] :
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f4061,plain,
( ~ spl96_343
| ~ spl96_67
| ~ spl96_122 ),
inference(avatar_split_clause,[],[f1699,f1655,f1349,f4058]) ).
fof(f4058,plain,
( spl96_343
<=> sP23(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_343])]) ).
fof(f1699,plain,
( ~ sP23(xc)
| ~ spl96_67
| ~ spl96_122 ),
inference(resolution,[],[f1656,f1351]) ).
fof(f3833,plain,
spl96_342,
inference(avatar_split_clause,[],[f936,f3831]) ).
fof(f3831,plain,
( spl96_342
<=> ! [X0,X1] :
( aSubsetOf0(sK93(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_342])]) ).
fof(f936,plain,
! [X0,X1] :
( aSubsetOf0(sK93(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f529]) ).
fof(f3829,plain,
spl96_341,
inference(avatar_split_clause,[],[f929,f3827]) ).
fof(f929,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElementOf0(sK92(X0,X1,X2),X1)
| aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f3825,plain,
spl96_340,
inference(avatar_split_clause,[],[f877,f3823]) ).
fof(f3823,plain,
( spl96_340
<=> ! [X0,X1] :
( sP40(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_340])]) ).
fof(f877,plain,
! [X0,X1] :
( sP40(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK85(X0,X1)),X0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f3821,plain,
spl96_339,
inference(avatar_split_clause,[],[f752,f3819]) ).
fof(f3819,plain,
( spl96_339
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_339])]) ).
fof(f752,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f417,plain,
! [X0,X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X1) ),
inference(rectify,[],[f416]) ).
fof(f416,plain,
! [X0,X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X5) ),
inference(nnf_transformation,[],[f282]) ).
fof(f3815,plain,
spl96_338,
inference(avatar_split_clause,[],[f698,f3813]) ).
fof(f698,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f376]) ).
fof(f3811,plain,
spl96_337,
inference(avatar_split_clause,[],[f596,f3809]) ).
fof(f596,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1)
| ~ aElement0(X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f3788,plain,
spl96_336,
inference(avatar_split_clause,[],[f807,f3786]) ).
fof(f807,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f3784,plain,
spl96_335,
inference(avatar_split_clause,[],[f680,f3782]) ).
fof(f680,plain,
! [X0,X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& sP11(X0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f134,f262]) ).
fof(f134,plain,
! [X0] :
( ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4182) ).
fof(f3714,plain,
( ~ spl96_22
| spl96_334
| ~ spl96_2
| ~ spl96_46
| ~ spl96_246 ),
inference(avatar_split_clause,[],[f2660,f2642,f1241,f1029,f3711,f1129]) ).
fof(f3711,plain,
( spl96_334
<=> sdtlseqdt0(xx,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_334])]) ).
fof(f2660,plain,
( sdtlseqdt0(xx,sK48)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl96_2
| ~ spl96_46
| ~ spl96_246 ),
inference(forward_demodulation,[],[f2654,f1243]) ).
fof(f2654,plain,
( sdtlseqdt0(sdtlpdtrp0(xe,xi),sK48)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl96_2
| ~ spl96_246 ),
inference(resolution,[],[f2643,f1031]) ).
fof(f3367,plain,
spl96_333,
inference(avatar_split_clause,[],[f1021,f3365]) ).
fof(f3365,plain,
( spl96_333
<=> ! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_333])]) ).
fof(f1021,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f920]) ).
fof(f920,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| sK91(X0,X1,X2) != X0
| ~ aElement0(sK91(X0,X1,X2))
| ~ aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f3363,plain,
spl96_332,
inference(avatar_split_clause,[],[f990,f3361]) ).
fof(f3361,plain,
( spl96_332
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_332])]) ).
fof(f990,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f889]) ).
fof(f889,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f495]) ).
fof(f3359,plain,
spl96_331,
inference(avatar_split_clause,[],[f984,f3357]) ).
fof(f984,plain,
! [X0,X1] :
( sP36(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK77(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f825]) ).
fof(f825,plain,
! [X2,X0,X1] :
( sP36(X0,X1,X2)
| aElementOf0(sK77(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f464]) ).
fof(f3342,plain,
spl96_330,
inference(avatar_split_clause,[],[f980,f3340]) ).
fof(f980,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(equality_resolution,[],[f790]) ).
fof(f790,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f447]) ).
fof(f3338,plain,
spl96_329,
inference(avatar_split_clause,[],[f979,f3336]) ).
fof(f979,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(equality_resolution,[],[f763]) ).
fof(f763,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f3334,plain,
spl96_328,
inference(avatar_split_clause,[],[f978,f3332]) ).
fof(f978,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(equality_resolution,[],[f757]) ).
fof(f757,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f420]) ).
fof(f3330,plain,
spl96_327,
inference(avatar_split_clause,[],[f973,f3328]) ).
fof(f973,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(equality_resolution,[],[f705]) ).
fof(f705,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f3326,plain,
spl96_326,
inference(avatar_split_clause,[],[f968,f3324]) ).
fof(f968,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(equality_resolution,[],[f628]) ).
fof(f628,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f3322,plain,
spl96_325,
inference(avatar_split_clause,[],[f967,f3320]) ).
fof(f967,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f603]) ).
fof(f603,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f3318,plain,
spl96_324,
inference(avatar_split_clause,[],[f965,f3316]) ).
fof(f965,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f586]) ).
fof(f586,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f3314,plain,
spl96_323,
inference(avatar_split_clause,[],[f962,f3312]) ).
fof(f3312,plain,
( spl96_323
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_323])]) ).
fof(f962,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f245]) ).
fof(f245,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(f3310,plain,
spl96_322,
inference(avatar_split_clause,[],[f960,f3308]) ).
fof(f960,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f541]) ).
fof(f3306,plain,
spl96_321,
inference(avatar_split_clause,[],[f954,f3304]) ).
fof(f3304,plain,
( spl96_321
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_321])]) ).
fof(f954,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f237]) ).
fof(f237,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(f3302,plain,
( spl96_320
| ~ spl96_129
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2276,f2225,f1683,f3300]) ).
fof(f3300,plain,
( spl96_320
<=> ! [X0] :
( sP47(X0,sK48)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_320])]) ).
fof(f2276,plain,
( ! [X0] :
( sP47(X0,sK48)
| ~ aSet0(X0) )
| ~ spl96_129
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1684]) ).
fof(f3298,plain,
spl96_319,
inference(avatar_split_clause,[],[f934,f3296]) ).
fof(f3296,plain,
( spl96_319
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_319])]) ).
fof(f934,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f527]) ).
fof(f527,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP45(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f526]) ).
fof(f526,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP45(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP45(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP45(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f222,f309]) ).
fof(f222,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,[],[f221]) ).
fof(f221,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(f3294,plain,
spl96_318,
inference(avatar_split_clause,[],[f928,f3292]) ).
fof(f928,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| aElement0(sK92(X0,X1,X2))
| aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f3290,plain,
spl96_317,
inference(avatar_split_clause,[],[f927,f3288]) ).
fof(f3288,plain,
( spl96_317
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP45(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_317])]) ).
fof(f927,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f3286,plain,
spl96_316,
inference(avatar_split_clause,[],[f923,f3284]) ).
fof(f3284,plain,
( spl96_316
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_316])]) ).
fof(f923,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f520]) ).
fof(f520,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP44(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f519]) ).
fof(f519,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP44(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP44(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP44(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f220,f307]) ).
fof(f220,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,[],[f219]) ).
fof(f219,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(f3282,plain,
spl96_315,
inference(avatar_split_clause,[],[f917,f3280]) ).
fof(f917,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| aElement0(sK91(X0,X1,X2))
| aElementOf0(sK91(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f3278,plain,
spl96_314,
inference(avatar_split_clause,[],[f876,f3276]) ).
fof(f876,plain,
! [X0,X1] :
( sP40(X0,X1)
| aElementOf0(sK85(X0,X1),szNzAzT0)
| aElementOf0(sK85(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f3274,plain,
spl96_313,
inference(avatar_split_clause,[],[f853,f3272]) ).
fof(f853,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f175]) ).
fof(f175,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(f3270,plain,
spl96_312,
inference(avatar_split_clause,[],[f832,f3268]) ).
fof(f3268,plain,
( spl96_312
<=> ! [X0,X6,X2,X1] :
( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_312])]) ).
fof(f832,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK80(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f3266,plain,
spl96_311,
inference(avatar_split_clause,[],[f819,f3264]) ).
fof(f819,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,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(f3262,plain,
spl96_310,
inference(avatar_split_clause,[],[f781,f3260]) ).
fof(f781,plain,
! [X0,X1] :
( aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f3258,plain,
( spl96_309
| ~ spl96_128
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2275,f2225,f1679,f3255]) ).
fof(f2275,plain,
( sK48 = sbrdtbr0(slbdtrb0(sK48))
| ~ spl96_128
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1680]) ).
fof(f3253,plain,
spl96_308,
inference(avatar_split_clause,[],[f754,f3251]) ).
fof(f754,plain,
! [X0,X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f3249,plain,
spl96_307,
inference(avatar_split_clause,[],[f728,f3247]) ).
fof(f728,plain,
! [X0,X1] :
( sdtlpdtrp0(X0,sK64(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ( sdtlpdtrp0(X0,sK64(X0,X1)) = X1
& aElementOf0(sK64(X0,X1),szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f403,f404]) ).
fof(f404,plain,
! [X0,X1] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK64(X0,X1)) = X1
& aElementOf0(sK64(X0,X1),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f403,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP19(X0) ),
inference(rectify,[],[f402]) ).
fof(f402,plain,
! [X3] :
( ! [X4] :
( ( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ! [X5] :
( sdtlpdtrp0(X3,X5) != X4
| ~ aElementOf0(X5,szDzozmdt0(X3)) ) )
& ( ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) )
| ~ aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3))) ) )
| ~ sP19(X3) ),
inference(nnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X3] :
( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
| ~ sP19(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f3245,plain,
spl96_306,
inference(avatar_split_clause,[],[f724,f3243]) ).
fof(f3243,plain,
( spl96_306
<=> ! [X2,X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP21(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_306])]) ).
fof(f724,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f397]) ).
fof(f3241,plain,
spl96_305,
inference(avatar_split_clause,[],[f717,f3239]) ).
fof(f3239,plain,
( spl96_305
<=> ! [X3,X0,X5,X2,X1] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_305])]) ).
fof(f717,plain,
! [X2,X3,X0,X1,X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f393]) ).
fof(f393,plain,
! [X0,X1,X2,X3] :
( ( sP21(X2,X1,X0,sK61(X0,X1,X2,X3))
& isCountable0(sK61(X0,X1,X2,X3))
& aSubsetOf0(sK61(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK61(X0,X1,X2,X3)) )
& aSet0(sK61(X0,X1,X2,X3)) )
| ~ sP22(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f391,f392]) ).
fof(f392,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP21(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
=> ( sP21(X2,X1,X0,sK61(X0,X1,X2,X3))
& isCountable0(sK61(X0,X1,X2,X3))
& aSubsetOf0(sK61(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK61(X0,X1,X2,X3)) )
& aSet0(sK61(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f391,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP21(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ sP22(X0,X1,X2,X3) ),
inference(rectify,[],[f390]) ).
fof(f390,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP21(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP22(X0,X3,X10,X1) ),
inference(nnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP21(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP22(X0,X3,X10,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f3237,plain,
spl96_304,
inference(avatar_split_clause,[],[f695,f3235]) ).
fof(f695,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP13(X1,X0)
& sP12(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP15(X0,X1) ),
inference(nnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP13(X1,X0)
& sP12(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP15(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f3233,plain,
spl96_303,
inference(avatar_split_clause,[],[f624,f3231]) ).
fof(f624,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f3229,plain,
spl96_302,
inference(avatar_split_clause,[],[f593,f3227]) ).
fof(f593,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3225,plain,
spl96_301,
inference(avatar_split_clause,[],[f576,f3223]) ).
fof(f576,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f3221,plain,
spl96_300,
inference(avatar_split_clause,[],[f1008,f3219]) ).
fof(f3219,plain,
( spl96_300
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_300])]) ).
fof(f1008,plain,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3) ),
inference(forward_demodulation,[],[f642,f613]) ).
fof(f613,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f346]) ).
fof(f642,plain,
! [X3] :
( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ( sdtlpdtrp0(xe,sK55(X0)) = X0
& aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X3] :
( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f356,f357]) ).
fof(f357,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( sdtlpdtrp0(xe,sK55(X0)) = X0
& aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f356,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X3] :
( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(rectify,[],[f355]) ).
fof(f355,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X2] :
( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
| ~ aElementOf0(X2,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(flattening,[],[f354]) ).
fof(f354,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X2] :
( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
| ~ aElementOf0(X2,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,xO)
<=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,xO)
<=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f2956,plain,
spl96_299,
inference(avatar_split_clause,[],[f977,f2954]) ).
fof(f977,plain,
! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) ),
inference(equality_resolution,[],[f729]) ).
fof(f729,plain,
! [X2,X0,X1] :
( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f2952,plain,
spl96_298,
inference(avatar_split_clause,[],[f974,f2950]) ).
fof(f974,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP21(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f723]) ).
fof(f723,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aSubsetOf0(X4,X3)
| ~ sP21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f397]) ).
fof(f2948,plain,
spl96_297,
inference(avatar_split_clause,[],[f958,f2946]) ).
fof(f958,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f539]) ).
fof(f539,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,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f241]) ).
fof(f241,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(f2944,plain,
( spl96_296
| ~ spl96_83
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2274,f2225,f1417,f2941]) ).
fof(f2941,plain,
( spl96_296
<=> sdtlseqdt0(sz00,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_296])]) ).
fof(f2274,plain,
( sdtlseqdt0(sz00,sK48)
| ~ spl96_83
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1418]) ).
fof(f2939,plain,
spl96_295,
inference(avatar_split_clause,[],[f957,f2937]) ).
fof(f957,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f539]) ).
fof(f2935,plain,
spl96_294,
inference(avatar_split_clause,[],[f956,f2933]) ).
fof(f956,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f538]) ).
fof(f538,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,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f239]) ).
fof(f239,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(f2931,plain,
spl96_293,
inference(avatar_split_clause,[],[f955,f2929]) ).
fof(f955,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f538]) ).
fof(f2927,plain,
spl96_292,
inference(avatar_split_clause,[],[f953,f2925]) ).
fof(f953,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f235]) ).
fof(f235,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(f2923,plain,
spl96_291,
inference(avatar_split_clause,[],[f901,f2921]) ).
fof(f901,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,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(f2919,plain,
spl96_290,
inference(avatar_split_clause,[],[f887,f2917]) ).
fof(f2917,plain,
( spl96_290
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_290])]) ).
fof(f887,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,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(f2915,plain,
spl96_289,
inference(avatar_split_clause,[],[f839,f2913]) ).
fof(f839,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,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(f2911,plain,
spl96_288,
inference(avatar_split_clause,[],[f824,f2909]) ).
fof(f2909,plain,
( spl96_288
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP36(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_288])]) ).
fof(f824,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f464]) ).
fof(f2907,plain,
spl96_287,
inference(avatar_split_clause,[],[f788,f2905]) ).
fof(f788,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f447]) ).
fof(f2903,plain,
spl96_286,
inference(avatar_split_clause,[],[f776,f2901]) ).
fof(f776,plain,
! [X0,X1,X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f2899,plain,
( spl96_285
| ~ spl96_82
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2273,f2225,f1413,f2896]) ).
fof(f2896,plain,
( spl96_285
<=> sdtlseqdt0(sK48,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_285])]) ).
fof(f2273,plain,
( sdtlseqdt0(sK48,sK48)
| ~ spl96_82
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1414]) ).
fof(f2894,plain,
spl96_284,
inference(avatar_split_clause,[],[f761,f2892]) ).
fof(f761,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f427]) ).
fof(f2890,plain,
spl96_283,
inference(avatar_split_clause,[],[f755,f2888]) ).
fof(f755,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f420]) ).
fof(f2886,plain,
spl96_282,
inference(avatar_split_clause,[],[f749,f2884]) ).
fof(f749,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f2882,plain,
spl96_281,
inference(avatar_split_clause,[],[f743,f2880]) ).
fof(f743,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f415,plain,
! [X0,X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP26(X0,X1)
& sP25(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP29(X0,X1) ),
inference(nnf_transformation,[],[f283]) ).
fof(f2878,plain,
spl96_280,
inference(avatar_split_clause,[],[f727,f2876]) ).
fof(f727,plain,
! [X0,X1] :
( aElementOf0(sK64(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f2874,plain,
spl96_279,
inference(avatar_split_clause,[],[f720,f2872]) ).
fof(f2872,plain,
( spl96_279
<=> ! [X0,X3,X2,X1] :
( sP21(X2,X1,X0,sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_279])]) ).
fof(f720,plain,
! [X2,X3,X0,X1] :
( sP21(X2,X1,X0,sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f393]) ).
fof(f2870,plain,
spl96_278,
inference(avatar_split_clause,[],[f703,f2868]) ).
fof(f703,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f2866,plain,
spl96_277,
inference(avatar_split_clause,[],[f691,f2864]) ).
fof(f691,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f2862,plain,
spl96_276,
inference(avatar_split_clause,[],[f686,f2860]) ).
fof(f686,plain,
! [X2,X0,X1] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP14(X0,X1)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP16(X0,X1) ),
inference(rectify,[],[f371]) ).
fof(f371,plain,
! [X0,X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP14(X0,X1)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP16(X0,X1) ),
inference(nnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP14(X0,X1)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP16(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2858,plain,
spl96_275,
inference(avatar_split_clause,[],[f683,f2856]) ).
fof(f683,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f2854,plain,
( spl96_274
| ~ spl96_81
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2272,f2225,f1409,f2851]) ).
fof(f2851,plain,
( spl96_274
<=> isFinite0(slbdtrb0(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_274])]) ).
fof(f2272,plain,
( isFinite0(slbdtrb0(sK48))
| ~ spl96_81
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1410]) ).
fof(f2849,plain,
spl96_273,
inference(avatar_split_clause,[],[f626,f2847]) ).
fof(f626,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f2845,plain,
spl96_272,
inference(avatar_split_clause,[],[f601,f2843]) ).
fof(f601,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f2841,plain,
spl96_271,
inference(avatar_split_clause,[],[f589,f2839]) ).
fof(f589,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f2837,plain,
spl96_270,
inference(avatar_split_clause,[],[f584,f2835]) ).
fof(f584,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f2813,plain,
spl96_269,
inference(avatar_split_clause,[],[f740,f2811]) ).
fof(f2811,plain,
( spl96_269
<=> ! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK67(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_269])]) ).
fof(f740,plain,
! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK67(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f414,plain,
! [X0] :
( ! [X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ( ~ aElementOf0(sK67(X1),szNzAzT0)
& aElementOf0(sK67(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f278,f413]) ).
fof(f413,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK67(X1),szNzAzT0)
& aElementOf0(sK67(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f138,f277,f276,f275,f274,f273,f272,f271,f270]) ).
fof(f270,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP17(X3,X7,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f273,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP20(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f276,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP20(X3)
& sP19(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP23(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X3] :
( ( ( ( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
=> ( aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ! [X6] :
( aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3)))
=> aElementOf0(X6,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X3)
| ! [X7] :
( ( ( sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,X1) )
& aSet0(X7) )
=> aElementOf0(X7,szDzozmdt0(X3)) )
& ( aElementOf0(X7,szDzozmdt0(X3))
=> ( sbrdtbr0(X7) = X0
& ( aSubsetOf0(X7,X1)
| ( ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,X1) )
& aSet0(X7) ) ) ) ) ) )
& aFunction0(X3) )
=> ( iLess0(X0,xK)
=> ? [X10] :
( ? [X11] :
( ! [X12] :
( ( aElementOf0(X12,slbdtsldtrb0(X11,X0))
| ( sbrdtbr0(X12) = X0
& ( aSubsetOf0(X12,X11)
| ( ! [X13] :
( aElementOf0(X13,X12)
=> aElementOf0(X13,X11) )
& aSet0(X12) ) ) ) )
=> sdtlpdtrp0(X3,X12) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X11)
=> aElementOf0(X14,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
<=> ? [X4] :
( sdtlpdtrp0(X2,X4) = X3
& aElementOf0(X4,szDzozmdt0(X2)) ) )
& aSet0(sdtlcdtrc0(X2,szDzozmdt0(X2))) )
=> ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
=> aElementOf0(X3,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
| ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) )
=> aElementOf0(X3,szDzozmdt0(X2)) )
& ( aElementOf0(X3,szDzozmdt0(X2))
=> ( sbrdtbr0(X3) = X0
& ( aSubsetOf0(X3,X1)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) ) ) ) ) ) )
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X4,X0))
| ( sbrdtbr0(X5) = X0
& ( aSubsetOf0(X5,X4)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X4) )
& aSet0(X5) ) ) ) )
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1)
& ! [X5] :
( aElementOf0(X5,X4)
=> aElementOf0(X5,X1) )
& aSet0(X4) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f2809,plain,
spl96_268,
inference(avatar_split_clause,[],[f739,f2807]) ).
fof(f739,plain,
! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK67(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f2805,plain,
spl96_267,
inference(avatar_split_clause,[],[f635,f2803]) ).
fof(f635,plain,
! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK54(X0),szNzAzT0)
& aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f261,f352]) ).
fof(f352,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK54(X0),szNzAzT0)
& aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f130,f260,f259]) ).
fof(f130,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f2801,plain,
spl96_266,
inference(avatar_split_clause,[],[f559,f2799]) ).
fof(f2799,plain,
( spl96_266
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK50(X4),xS)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_266])]) ).
fof(f559,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK50(X4),xS)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK49(X1)) = X1
& aElementOf0(sK49(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK50(X4),xS)
& aElementOf0(sK50(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f317,f319,f318]) ).
fof(f318,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK49(X1)) = X1
& aElementOf0(sK49(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK50(X4),xS)
& aElementOf0(sK50(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f316]) ).
fof(f316,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f2797,plain,
spl96_265,
inference(avatar_split_clause,[],[f558,f2795]) ).
fof(f2795,plain,
( spl96_265
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK50(X4),X4)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_265])]) ).
fof(f558,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK50(X4),X4)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2734,plain,
spl96_264,
inference(avatar_split_clause,[],[f1022,f2732]) ).
fof(f2732,plain,
( spl96_264
<=> ! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_264])]) ).
fof(f1022,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f930]) ).
fof(f930,plain,
! [X2,X0,X1] :
( sP45(X0,X1,X2)
| sK92(X0,X1,X2) != X0
| aElementOf0(sK92(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f2730,plain,
spl96_263,
inference(avatar_split_clause,[],[f997,f2728]) ).
fof(f997,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP42(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f908]) ).
fof(f908,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f2726,plain,
spl96_262,
inference(avatar_split_clause,[],[f992,f2724]) ).
fof(f2724,plain,
( spl96_262
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_262])]) ).
fof(f992,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f895]) ).
fof(f895,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f502]) ).
fof(f2722,plain,
spl96_261,
inference(avatar_split_clause,[],[f952,f2720]) ).
fof(f952,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f233]) ).
fof(f233,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(f2718,plain,
spl96_260,
inference(avatar_split_clause,[],[f935,f2716]) ).
fof(f2716,plain,
( spl96_260
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_260])]) ).
fof(f935,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f223]) ).
fof(f223,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(f2714,plain,
spl96_259,
inference(avatar_split_clause,[],[f914,f2712]) ).
fof(f2712,plain,
( spl96_259
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_259])]) ).
fof(f914,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f2710,plain,
spl96_258,
inference(avatar_split_clause,[],[f875,f2708]) ).
fof(f875,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f2706,plain,
spl96_257,
inference(avatar_split_clause,[],[f831,f2704]) ).
fof(f831,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK80(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f2702,plain,
spl96_256,
inference(avatar_split_clause,[],[f818,f2700]) ).
fof(f818,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f2698,plain,
spl96_255,
inference(avatar_split_clause,[],[f753,f2696]) ).
fof(f753,plain,
! [X0,X1] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f2694,plain,
( spl96_254
| ~ spl96_34
| ~ spl96_213 ),
inference(avatar_split_clause,[],[f2429,f2307,f1188,f2691]) ).
fof(f2691,plain,
( spl96_254
<=> sP5(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_254])]) ).
fof(f2429,plain,
( sP5(sK48)
| ~ spl96_34
| ~ spl96_213 ),
inference(resolution,[],[f2309,f1189]) ).
fof(f2309,plain,
( sP8(sK48)
| ~ spl96_213 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2689,plain,
spl96_253,
inference(avatar_split_clause,[],[f747,f2687]) ).
fof(f747,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f2685,plain,
spl96_252,
inference(avatar_split_clause,[],[f696,f2683]) ).
fof(f696,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f376]) ).
fof(f2681,plain,
spl96_251,
inference(avatar_split_clause,[],[f619,f2679]) ).
fof(f2679,plain,
( spl96_251
<=> ! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_251])]) ).
fof(f619,plain,
! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f2677,plain,
spl96_250,
inference(avatar_split_clause,[],[f608,f2675]) ).
fof(f2675,plain,
( spl96_250
<=> ! [X0,X1] :
( sbrdtbr0(X0) = xk
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_250])]) ).
fof(f608,plain,
! [X0,X1] :
( sbrdtbr0(X0) = xk
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f344]) ).
fof(f2673,plain,
spl96_249,
inference(avatar_split_clause,[],[f594,f2671]) ).
fof(f594,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f2669,plain,
spl96_248,
inference(avatar_split_clause,[],[f570,f2667]) ).
fof(f570,plain,
! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f2648,plain,
spl96_247,
inference(avatar_split_clause,[],[f681,f2646]) ).
fof(f681,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f2644,plain,
spl96_246,
inference(avatar_split_clause,[],[f551,f2642]) ).
fof(f551,plain,
! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ! [X0] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f2640,plain,
( spl96_245
| ~ spl96_35
| ~ spl96_213 ),
inference(avatar_split_clause,[],[f2428,f2307,f1192,f2637]) ).
fof(f2637,plain,
( spl96_245
<=> sP6(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_245])]) ).
fof(f2428,plain,
( sP6(sK48)
| ~ spl96_35
| ~ spl96_213 ),
inference(resolution,[],[f2309,f1193]) ).
fof(f2551,plain,
( spl96_244
| ~ spl96_36
| ~ spl96_213 ),
inference(avatar_split_clause,[],[f2427,f2307,f1196,f2548]) ).
fof(f2548,plain,
( spl96_244
<=> sP7(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_244])]) ).
fof(f2427,plain,
( sP7(sK48)
| ~ spl96_36
| ~ spl96_213 ),
inference(resolution,[],[f2309,f1197]) ).
fof(f2501,plain,
spl96_243,
inference(avatar_split_clause,[],[f991,f2499]) ).
fof(f991,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f888]) ).
fof(f888,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f495]) ).
fof(f2497,plain,
spl96_242,
inference(avatar_split_clause,[],[f986,f2495]) ).
fof(f986,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP38(X0,X1,X2) ),
inference(equality_resolution,[],[f833]) ).
fof(f833,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f2493,plain,
spl96_241,
inference(avatar_split_clause,[],[f942,f2491]) ).
fof(f2491,plain,
( spl96_241
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP46(X1,X0,X2)
| ~ sP47(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_241])]) ).
fof(f942,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP46(X1,X0,X2)
| ~ sP47(X0,X1) ),
inference(cnf_transformation,[],[f532]) ).
fof(f532,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP46(X1,X0,X2) )
& ( sP46(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP47(X0,X1) ),
inference(nnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP46(X1,X0,X2) )
| ~ sP47(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2489,plain,
spl96_240,
inference(avatar_split_clause,[],[f915,f2487]) ).
fof(f915,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f2485,plain,
spl96_239,
inference(avatar_split_clause,[],[f907,f2483]) ).
fof(f907,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f2481,plain,
spl96_238,
inference(avatar_split_clause,[],[f904,f2479]) ).
fof(f2479,plain,
( spl96_238
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP42(X1,X0,X2)
| ~ sP43(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_238])]) ).
fof(f904,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP42(X1,X0,X2)
| ~ sP43(X0,X1) ),
inference(cnf_transformation,[],[f508]) ).
fof(f508,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP42(X1,X0,X2) )
& ( sP42(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP43(X0,X1) ),
inference(nnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP42(X1,X0,X2) )
| ~ sP43(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f2477,plain,
spl96_237,
inference(avatar_split_clause,[],[f881,f2475]) ).
fof(f2475,plain,
( spl96_237
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_237])]) ).
fof(f881,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,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(f2473,plain,
spl96_236,
inference(avatar_split_clause,[],[f857,f2471]) ).
fof(f2471,plain,
( spl96_236
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK83(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_236])]) ).
fof(f857,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK83(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f482]) ).
fof(f482,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK83(X0,X1),X0)
& aElementOf0(sK83(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,[sK83])],[f480,f481]) ).
fof(f481,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK83(X0,X1),X0)
& aElementOf0(sK83(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f480,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,[],[f479]) ).
fof(f479,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,[],[f478]) ).
fof(f478,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,[],[f177]) ).
fof(f177,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(f2469,plain,
spl96_235,
inference(avatar_split_clause,[],[f856,f2467]) ).
fof(f856,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK83(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f482]) ).
fof(f2465,plain,
spl96_234,
inference(avatar_split_clause,[],[f852,f2463]) ).
fof(f852,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,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(f2461,plain,
spl96_233,
inference(avatar_split_clause,[],[f851,f2459]) ).
fof(f851,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,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(f2457,plain,
spl96_232,
inference(avatar_split_clause,[],[f829,f2455]) ).
fof(f2455,plain,
( spl96_232
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP38(X1,X0,X2)
| ~ sP39(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_232])]) ).
fof(f829,plain,
! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP38(X1,X0,X2)
| ~ sP39(X0,X1) ),
inference(cnf_transformation,[],[f466]) ).
fof(f466,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP38(X1,X0,X2) )
& ( sP38(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP39(X0,X1) ),
inference(rectify,[],[f465]) ).
fof(f465,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP38(X0,X1,X2) )
& ( sP38(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP39(X1,X0) ),
inference(nnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP38(X0,X1,X2) )
| ~ sP39(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f2453,plain,
spl96_231,
inference(avatar_split_clause,[],[f821,f2451]) ).
fof(f2451,plain,
( spl96_231
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP36(X2,X1,X0)
| ~ sP37(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_231])]) ).
fof(f821,plain,
! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP36(X2,X1,X0)
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f459]) ).
fof(f459,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP36(X2,X1,X0) )
& ( sP36(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP37(X0,X1) ),
inference(rectify,[],[f458]) ).
fof(f458,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP36(X2,X0,X1) )
& ( sP36(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP37(X1,X0) ),
inference(nnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP36(X2,X0,X1) )
| ~ sP37(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f2449,plain,
spl96_230,
inference(avatar_split_clause,[],[f777,f2447]) ).
fof(f777,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f2445,plain,
spl96_229,
inference(avatar_split_clause,[],[f750,f2443]) ).
fof(f2443,plain,
( spl96_229
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_229])]) ).
fof(f750,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f2441,plain,
spl96_228,
inference(avatar_split_clause,[],[f744,f2439]) ).
fof(f2439,plain,
( spl96_228
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_228])]) ).
fof(f744,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f2437,plain,
spl96_227,
inference(avatar_split_clause,[],[f718,f2435]) ).
fof(f2435,plain,
( spl96_227
<=> ! [X0,X3,X2,X1] :
( aSubsetOf0(sK61(X0,X1,X2,X3),X3)
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_227])]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(sK61(X0,X1,X2,X3),X3)
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f393]) ).
fof(f2433,plain,
spl96_226,
inference(avatar_split_clause,[],[f700,f2431]) ).
fof(f2431,plain,
( spl96_226
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK59(X0,X1),X0)
| ~ sP13(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_226])]) ).
fof(f700,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK59(X0,X1),X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f380]) ).
fof(f2426,plain,
spl96_225,
inference(avatar_split_clause,[],[f692,f2424]) ).
fof(f2424,plain,
( spl96_225
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_225])]) ).
fof(f692,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f2422,plain,
spl96_224,
inference(avatar_split_clause,[],[f688,f2420]) ).
fof(f2420,plain,
( spl96_224
<=> ! [X0,X1] :
( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_224])]) ).
fof(f688,plain,
! [X0,X1] :
( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f2418,plain,
spl96_223,
inference(avatar_split_clause,[],[f598,f2416]) ).
fof(f2416,plain,
( spl96_223
<=> ! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK52(X0,X1),X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_223])]) ).
fof(f598,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK52(X0,X1),X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f2414,plain,
spl96_222,
inference(avatar_split_clause,[],[f590,f2412]) ).
fof(f2412,plain,
( spl96_222
<=> ! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_222])]) ).
fof(f590,plain,
! [X0,X1] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f2376,plain,
( spl96_221
| ~ spl96_63
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2271,f2225,f1323,f2373]) ).
fof(f2271,plain,
( sP41(sK48)
| ~ spl96_63
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1324]) ).
fof(f2371,plain,
spl96_220,
inference(avatar_split_clause,[],[f1020,f2369]) ).
fof(f1020,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ sP16(X0,X1) ),
inference(forward_demodulation,[],[f689,f561]) ).
fof(f561,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f320]) ).
fof(f689,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f2367,plain,
spl96_219,
inference(avatar_split_clause,[],[f964,f2365]) ).
fof(f964,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(equality_resolution,[],[f565]) ).
fof(f565,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2363,plain,
spl96_218,
inference(avatar_split_clause,[],[f804,f2361]) ).
fof(f804,plain,
! [X0,X1] :
( sP35(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f2359,plain,
spl96_217,
inference(avatar_split_clause,[],[f678,f2357]) ).
fof(f2357,plain,
( spl96_217
<=> ! [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_217])]) ).
fof(f678,plain,
! [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f2355,plain,
spl96_216,
inference(avatar_split_clause,[],[f641,f2353]) ).
fof(f641,plain,
! [X3] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f358]) ).
fof(f2351,plain,
spl96_215,
inference(avatar_split_clause,[],[f564,f2349]) ).
fof(f564,plain,
! [X1] :
( sdtlpdtrp0(xc,sK49(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2342,plain,
( spl96_214
| ~ spl96_48
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2270,f2225,f1251,f2339]) ).
fof(f2339,plain,
( spl96_214
<=> sP11(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_214])]) ).
fof(f2270,plain,
( sP11(sK48)
| ~ spl96_48
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1252]) ).
fof(f2310,plain,
( spl96_213
| ~ spl96_43
| ~ spl96_197 ),
inference(avatar_split_clause,[],[f2269,f2225,f1227,f2307]) ).
fof(f2269,plain,
( sP8(sK48)
| ~ spl96_43
| ~ spl96_197 ),
inference(resolution,[],[f2227,f1228]) ).
fof(f2299,plain,
spl96_212,
inference(avatar_split_clause,[],[f1005,f2297]) ).
fof(f1005,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP46(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f946]) ).
fof(f946,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f2295,plain,
spl96_211,
inference(avatar_split_clause,[],[f945,f2293]) ).
fof(f945,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f2291,plain,
spl96_210,
inference(avatar_split_clause,[],[f906,f2289]) ).
fof(f906,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f2287,plain,
spl96_209,
inference(avatar_split_clause,[],[f883,f2285]) ).
fof(f2285,plain,
( spl96_209
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_209])]) ).
fof(f883,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,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(f2283,plain,
spl96_208,
inference(avatar_split_clause,[],[f869,f2281]) ).
fof(f869,plain,
! [X0] :
( szszuzczcdt0(sK84(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f484]) ).
fof(f484,plain,
! [X0] :
( ( szszuzczcdt0(sK84(X0)) = X0
& aElementOf0(sK84(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f188,f483]) ).
fof(f483,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK84(X0)) = X0
& aElementOf0(sK84(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f187]) ).
fof(f187,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(f2268,plain,
spl96_207,
inference(avatar_split_clause,[],[f855,f2266]) ).
fof(f2266,plain,
( spl96_207
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_207])]) ).
fof(f855,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f482]) ).
fof(f2264,plain,
spl96_206,
inference(avatar_split_clause,[],[f775,f2262]) ).
fof(f775,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f2260,plain,
spl96_205,
inference(avatar_split_clause,[],[f748,f2258]) ).
fof(f2258,plain,
( spl96_205
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_205])]) ).
fof(f748,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f2256,plain,
spl96_204,
inference(avatar_split_clause,[],[f742,f2254]) ).
fof(f2254,plain,
( spl96_204
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_204])]) ).
fof(f742,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f2252,plain,
spl96_203,
inference(avatar_split_clause,[],[f735,f2250]) ).
fof(f2250,plain,
( spl96_203
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_203])]) ).
fof(f735,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1,X2,X3] :
( ( ~ aElementOf0(X1,szDzozmdt0(X0))
& sbrdtbr0(X1) = X2
& aSubsetOf0(X1,X3)
& ! [X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1) )
& aSet0(X1) )
| ~ sP17(X0,X1,X2,X3) ),
inference(rectify,[],[f411]) ).
fof(f411,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP17(X3,X7,X0,X1) ),
inference(nnf_transformation,[],[f270]) ).
fof(f2248,plain,
spl96_202,
inference(avatar_split_clause,[],[f719,f2246]) ).
fof(f2246,plain,
( spl96_202
<=> ! [X0,X3,X2,X1] :
( isCountable0(sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_202])]) ).
fof(f719,plain,
! [X2,X3,X0,X1] :
( isCountable0(sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f393]) ).
fof(f2244,plain,
spl96_201,
inference(avatar_split_clause,[],[f716,f2242]) ).
fof(f2242,plain,
( spl96_201
<=> ! [X0,X3,X2,X1] :
( aSet0(sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_201])]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( aSet0(sK61(X0,X1,X2,X3))
| ~ sP22(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f393]) ).
fof(f2240,plain,
spl96_200,
inference(avatar_split_clause,[],[f690,f2238]) ).
fof(f2238,plain,
( spl96_200
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_200])]) ).
fof(f690,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f2236,plain,
spl96_199,
inference(avatar_split_clause,[],[f687,f2234]) ).
fof(f687,plain,
! [X0,X1] :
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f2232,plain,
spl96_198,
inference(avatar_split_clause,[],[f682,f2230]) ).
fof(f2230,plain,
( spl96_198
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_198])]) ).
fof(f682,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f2228,plain,
( ~ spl96_22
| spl96_197
| ~ spl96_2
| ~ spl96_188 ),
inference(avatar_split_clause,[],[f2177,f2135,f1029,f2225,f1129]) ).
fof(f2177,plain,
( aElementOf0(sK48,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl96_2
| ~ spl96_188 ),
inference(resolution,[],[f2136,f1031]) ).
fof(f2223,plain,
spl96_196,
inference(avatar_split_clause,[],[f620,f2221]) ).
fof(f2221,plain,
( spl96_196
<=> ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_196])]) ).
fof(f620,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f2219,plain,
spl96_195,
inference(avatar_split_clause,[],[f605,f2217]) ).
fof(f2217,plain,
( spl96_195
<=> ! [X0,X1] :
( aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_195])]) ).
fof(f605,plain,
! [X0,X1] :
( aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f344]) ).
fof(f2215,plain,
spl96_194,
inference(avatar_split_clause,[],[f588,f2213]) ).
fof(f588,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f2211,plain,
spl96_193,
inference(avatar_split_clause,[],[f571,f2209]) ).
fof(f571,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f2153,plain,
spl96_192,
inference(avatar_split_clause,[],[f1016,f2151]) ).
fof(f1016,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,sK56(X1)) = X1 ),
inference(forward_demodulation,[],[f664,f613]) ).
fof(f664,plain,
! [X1] :
( sdtlpdtrp0(xd,sK56(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ( sdtlpdtrp0(xd,sK56(X1)) = X1
& aElementOf0(sK56(X1),szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f362,f363]) ).
fof(f363,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xd,X3) = X1
& aElementOf0(X3,szDzozmdt0(xd)) )
=> ( sdtlpdtrp0(xd,sK56(X1)) = X1
& aElementOf0(sK56(X1),szDzozmdt0(xd)) ) ),
introduced(choice_axiom,[]) ).
fof(f362,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xd,X3) = X1
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f361]) ).
fof(f361,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( sdtlpdtrp0(xd,X1) = X0
& aElementOf0(X1,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f2149,plain,
spl96_191,
inference(avatar_split_clause,[],[f969,f2147]) ).
fof(f969,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xe,X1),xO)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(equality_resolution,[],[f645]) ).
fof(f645,plain,
! [X0,X1] :
( aElementOf0(X0,xO)
| sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f358]) ).
fof(f2145,plain,
spl96_190,
inference(avatar_split_clause,[],[f741,f2143]) ).
fof(f741,plain,
! [X0,X1] :
( sP24(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f2141,plain,
spl96_189,
inference(avatar_split_clause,[],[f707,f2139]) ).
fof(f707,plain,
! [X0,X1] :
( sP16(X0,X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( sP16(X0,X1)
| sP15(X0,X1)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f136,f268,f267,f266,f265,f264]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X5,xS) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) )
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3965) ).
fof(f2137,plain,
spl96_188,
inference(avatar_split_clause,[],[f672,f2135]) ).
fof(f672,plain,
! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f2133,plain,
spl96_187,
inference(avatar_split_clause,[],[f563,f2131]) ).
fof(f563,plain,
! [X1] :
( aElementOf0(sK49(X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2129,plain,
spl96_186,
inference(avatar_split_clause,[],[f560,f2127]) ).
fof(f2127,plain,
( spl96_186
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_186])]) ).
fof(f560,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2125,plain,
spl96_185,
inference(avatar_split_clause,[],[f552,f2123]) ).
fof(f552,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f2031,plain,
spl96_184,
inference(avatar_split_clause,[],[f1002,f2029]) ).
fof(f1002,plain,
! [X0,X1] :
( sP45(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f933]) ).
fof(f933,plain,
! [X2,X0,X1] :
( sP45(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f527]) ).
fof(f2027,plain,
spl96_183,
inference(avatar_split_clause,[],[f999,f2025]) ).
fof(f999,plain,
! [X0,X1] :
( sP44(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f922]) ).
fof(f922,plain,
! [X2,X0,X1] :
( sP44(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f520]) ).
fof(f2023,plain,
spl96_182,
inference(avatar_split_clause,[],[f993,f2021]) ).
fof(f993,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f894]) ).
fof(f894,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f502]) ).
fof(f2019,plain,
spl96_181,
inference(avatar_split_clause,[],[f944,f2017]) ).
fof(f944,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f2015,plain,
spl96_180,
inference(avatar_split_clause,[],[f925,f2013]) ).
fof(f925,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f2011,plain,
spl96_179,
inference(avatar_split_clause,[],[f902,f2009]) ).
fof(f902,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,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(f2007,plain,
spl96_178,
inference(avatar_split_clause,[],[f893,f2005]) ).
fof(f893,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f497]) ).
fof(f497,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
& aElementOf0(sK87(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f209,f496]) ).
fof(f496,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK87(X0)))
& aElementOf0(sK87(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f208]) ).
fof(f208,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(f2003,plain,
spl96_177,
inference(avatar_split_clause,[],[f874,f2001]) ).
fof(f874,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f1999,plain,
spl96_176,
inference(avatar_split_clause,[],[f868,f1997]) ).
fof(f868,plain,
! [X0] :
( aElementOf0(sK84(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f484]) ).
fof(f1995,plain,
spl96_175,
inference(avatar_split_clause,[],[f838,f1993]) ).
fof(f838,plain,
! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,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(f1991,plain,
spl96_174,
inference(avatar_split_clause,[],[f816,f1989]) ).
fof(f816,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,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(f1984,plain,
spl96_173,
inference(avatar_split_clause,[],[f815,f1982]) ).
fof(f815,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,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(f1980,plain,
spl96_172,
inference(avatar_split_clause,[],[f814,f1978]) ).
fof(f1978,plain,
( spl96_172
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_172])]) ).
fof(f814,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,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(f1976,plain,
spl96_171,
inference(avatar_split_clause,[],[f813,f1974]) ).
fof(f1974,plain,
( spl96_171
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_171])]) ).
fof(f813,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,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(f1972,plain,
spl96_170,
inference(avatar_split_clause,[],[f759,f1970]) ).
fof(f759,plain,
! [X0,X1] :
( aElementOf0(sK68(X0,X1),X1)
| ~ aSet0(X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
fof(f1968,plain,
spl96_169,
inference(avatar_split_clause,[],[f684,f1966]) ).
fof(f684,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1964,plain,
spl96_168,
inference(avatar_split_clause,[],[f618,f1962]) ).
fof(f618,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1960,plain,
spl96_167,
inference(avatar_split_clause,[],[f578,f1958]) ).
fof(f578,plain,
! [X0,X1] :
( sP3(X0,X1)
| sP4(X0,X1)
| ~ aSet0(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f1956,plain,
spl96_166,
inference(avatar_split_clause,[],[f569,f1954]) ).
fof(f569,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1944,plain,
( spl96_165
| ~ spl96_22
| ~ spl96_63 ),
inference(avatar_split_clause,[],[f1338,f1323,f1129,f1941]) ).
fof(f1941,plain,
( spl96_165
<=> sP41(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_165])]) ).
fof(f1338,plain,
( sP41(xi)
| ~ spl96_22
| ~ spl96_63 ),
inference(resolution,[],[f1324,f1131]) ).
fof(f1932,plain,
spl96_164,
inference(avatar_split_clause,[],[f1015,f1930]) ).
fof(f1015,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0)) ),
inference(forward_demodulation,[],[f1014,f613]) ).
fof(f1014,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(forward_demodulation,[],[f970,f613]) ).
fof(f970,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xd,X2),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(equality_resolution,[],[f665]) ).
fof(f665,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1928,plain,
spl96_163,
inference(avatar_split_clause,[],[f981,f1926]) ).
fof(f981,plain,
! [X1] :
( sP34(sdtlpdtrp0(xe,X1))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(equality_resolution,[],[f798]) ).
fof(f798,plain,
! [X0,X1] :
( sP34(X0)
| sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( sP34(X0)
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(definition_folding,[],[f145,f291]) ).
fof(f291,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f145,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f1924,plain,
spl96_162,
inference(avatar_split_clause,[],[f643,f1922]) ).
fof(f643,plain,
! [X0] :
( aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1920,plain,
spl96_161,
inference(avatar_split_clause,[],[f555,f1918]) ).
fof(f1918,plain,
( spl96_161
<=> ! [X6,X4] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_161])]) ).
fof(f555,plain,
! [X6,X4] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f1916,plain,
spl96_160,
inference(avatar_split_clause,[],[f550,f1914]) ).
fof(f550,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1910,plain,
( spl96_159
| ~ spl96_23
| ~ spl96_63 ),
inference(avatar_split_clause,[],[f1337,f1323,f1134,f1907]) ).
fof(f1907,plain,
( spl96_159
<=> sP41(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_159])]) ).
fof(f1337,plain,
( sP41(xk)
| ~ spl96_23
| ~ spl96_63 ),
inference(resolution,[],[f1324,f1136]) ).
fof(f1861,plain,
( spl96_158
| ~ spl96_20
| ~ spl96_63 ),
inference(avatar_split_clause,[],[f1336,f1323,f1119,f1858]) ).
fof(f1858,plain,
( spl96_158
<=> sP41(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_158])]) ).
fof(f1336,plain,
( sP41(xK)
| ~ spl96_20
| ~ spl96_63 ),
inference(resolution,[],[f1324,f1121]) ).
fof(f1837,plain,
spl96_157,
inference(avatar_split_clause,[],[f1004,f1835]) ).
fof(f1004,plain,
! [X0,X1] :
( sP46(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP47(X0,X1) ),
inference(equality_resolution,[],[f941]) ).
fof(f941,plain,
! [X2,X0,X1] :
( sP46(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP47(X0,X1) ),
inference(cnf_transformation,[],[f532]) ).
fof(f1830,plain,
spl96_156,
inference(avatar_split_clause,[],[f998,f1828]) ).
fof(f998,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP44(X4,X1,X2) ),
inference(equality_resolution,[],[f916]) ).
fof(f916,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f1826,plain,
spl96_155,
inference(avatar_split_clause,[],[f996,f1824]) ).
fof(f996,plain,
! [X0,X1] :
( sP42(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP43(X0,X1) ),
inference(equality_resolution,[],[f903]) ).
fof(f903,plain,
! [X2,X0,X1] :
( sP42(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP43(X0,X1) ),
inference(cnf_transformation,[],[f508]) ).
fof(f1822,plain,
spl96_154,
inference(avatar_split_clause,[],[f985,f1820]) ).
fof(f985,plain,
! [X0,X1] :
( sP38(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP39(X0,X1) ),
inference(equality_resolution,[],[f828]) ).
fof(f828,plain,
! [X2,X0,X1] :
( sP38(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP39(X0,X1) ),
inference(cnf_transformation,[],[f466]) ).
fof(f1818,plain,
spl96_153,
inference(avatar_split_clause,[],[f982,f1816]) ).
fof(f982,plain,
! [X0,X1] :
( sP36(sdtexdt0(X1,X0),X1,X0)
| ~ sP37(X0,X1) ),
inference(equality_resolution,[],[f820]) ).
fof(f820,plain,
! [X2,X0,X1] :
( sP36(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f459]) ).
fof(f1814,plain,
spl96_152,
inference(avatar_split_clause,[],[f924,f1812]) ).
fof(f924,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f1810,plain,
spl96_151,
inference(avatar_split_clause,[],[f913,f1808]) ).
fof(f913,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP44(X0,X1,X2) ),
inference(cnf_transformation,[],[f518]) ).
fof(f1806,plain,
spl96_150,
inference(avatar_split_clause,[],[f900,f1804]) ).
fof(f900,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK89(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f507]) ).
fof(f507,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK89(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89])],[f505,f506]) ).
fof(f506,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK89(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f505,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f504]) ).
fof(f504,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f503]) ).
fof(f503,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f212]) ).
fof(f212,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(f1802,plain,
spl96_149,
inference(avatar_split_clause,[],[f892,f1800]) ).
fof(f892,plain,
! [X0] :
( aElementOf0(sK87(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f497]) ).
fof(f1798,plain,
spl96_148,
inference(avatar_split_clause,[],[f884,f1796]) ).
fof(f884,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f198]) ).
fof(f198,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(f1794,plain,
spl96_147,
inference(avatar_split_clause,[],[f873,f1792]) ).
fof(f873,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f1790,plain,
spl96_146,
inference(avatar_split_clause,[],[f871,f1788]) ).
fof(f1788,plain,
( spl96_146
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP40(X0,X1)
| ~ sP41(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_146])]) ).
fof(f871,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP40(X0,X1)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP40(X0,X1) )
& ( sP40(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP41(X0) ),
inference(nnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP40(X0,X1) )
| ~ sP41(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f1786,plain,
spl96_145,
inference(avatar_split_clause,[],[f846,f1784]) ).
fof(f1784,plain,
( spl96_145
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_145])]) ).
fof(f846,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f476]) ).
fof(f476,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,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(f1782,plain,
spl96_144,
inference(avatar_split_clause,[],[f837,f1780]) ).
fof(f837,plain,
! [X0,X1] :
( sP39(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0] :
( ! [X1] :
( sP39(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f162,f299,f298]) ).
fof(f162,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(f1778,plain,
spl96_143,
inference(avatar_split_clause,[],[f827,f1776]) ).
fof(f827,plain,
! [X0,X1] :
( sP37(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0] :
( ! [X1] :
( sP37(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f161,f296,f295]) ).
fof(f161,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(f1774,plain,
spl96_142,
inference(avatar_split_clause,[],[f796,f1772]) ).
fof(f796,plain,
! [X0] :
( aElementOf0(sK75(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
! [X0] :
( ( sdtlpdtrp0(xe,sK75(X0)) = X0
& aElementOf0(sK75(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK75(X0))
& aElementOf0(sK75(X0),szNzAzT0) )
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f451,f452]) ).
fof(f452,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlpdtrp0(xe,sK75(X0)) = X0
& aElementOf0(sK75(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK75(X0))
& aElementOf0(sK75(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f451,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) )
| ~ sP34(X0) ),
inference(rectify,[],[f450]) ).
fof(f450,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
inference(nnf_transformation,[],[f291]) ).
fof(f1770,plain,
spl96_141,
inference(avatar_split_clause,[],[f795,f1768]) ).
fof(f1768,plain,
( spl96_141
<=> ! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK75(X0))
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_141])]) ).
fof(f795,plain,
! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xd,sK75(X0))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f453]) ).
fof(f1766,plain,
spl96_140,
inference(avatar_split_clause,[],[f783,f1764]) ).
fof(f1764,plain,
( spl96_140
<=> ! [X0,X1] :
( sP32(X1,X0,sK72(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_140])]) ).
fof(f783,plain,
! [X0,X1] :
( sP32(X1,X0,sK72(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f1762,plain,
spl96_139,
inference(avatar_split_clause,[],[f738,f1760]) ).
fof(f1760,plain,
( spl96_139
<=> ! [X0,X3,X2,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_139])]) ).
fof(f738,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1758,plain,
spl96_138,
inference(avatar_split_clause,[],[f737,f1756]) ).
fof(f1756,plain,
( spl96_138
<=> ! [X2,X0,X1,X3] :
( sbrdtbr0(X1) = X2
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_138])]) ).
fof(f737,plain,
! [X2,X3,X0,X1] :
( sbrdtbr0(X1) = X2
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1754,plain,
spl96_137,
inference(avatar_split_clause,[],[f725,f1752]) ).
fof(f725,plain,
! [X0] :
( aElementOf0(sK63(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f401]) ).
fof(f401,plain,
! [X0] :
( ( ~ aElementOf0(sK63(X0),xT)
& aElementOf0(sK63(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f399,f400]) ).
fof(f400,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
=> ( ~ aElementOf0(sK63(X0),xT)
& aElementOf0(sK63(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f399,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP20(X0) ),
inference(rectify,[],[f398]) ).
fof(f398,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP20(X3) ),
inference(nnf_transformation,[],[f273]) ).
fof(f1748,plain,
spl96_136,
inference(avatar_split_clause,[],[f1018,f1746]) ).
fof(f1018,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(sK56(X1),szNzAzT0) ),
inference(forward_demodulation,[],[f1017,f613]) ).
fof(f1017,plain,
! [X1] :
( aElementOf0(sK56(X1),szNzAzT0)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(forward_demodulation,[],[f663,f613]) ).
fof(f663,plain,
! [X1] :
( aElementOf0(sK56(X1),szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1744,plain,
spl96_135,
inference(avatar_split_clause,[],[f1009,f1742]) ).
fof(f1009,plain,
! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(forward_demodulation,[],[f640,f613]) ).
fof(f640,plain,
! [X3] :
( aElementOf0(X3,szDzozmdt0(xd))
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1740,plain,
spl96_134,
inference(avatar_split_clause,[],[f644,f1738]) ).
fof(f644,plain,
! [X0] :
( sdtlpdtrp0(xe,sK55(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1736,plain,
spl96_133,
inference(avatar_split_clause,[],[f566,f1734]) ).
fof(f566,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f320]) ).
fof(f1730,plain,
( ~ spl96_22
| ~ spl96_92
| spl96_116 ),
inference(avatar_split_clause,[],[f1694,f1627,f1481,f1129]) ).
fof(f1481,plain,
( spl96_92
<=> ! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_92])]) ).
fof(f1694,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ spl96_92
| spl96_116 ),
inference(resolution,[],[f1629,f1482]) ).
fof(f1482,plain,
( ! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl96_92 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1629,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| spl96_116 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1698,plain,
spl96_132,
inference(avatar_split_clause,[],[f1007,f1696]) ).
fof(f1007,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f1006]) ).
fof(f1006,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f961]) ).
fof(f961,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f541]) ).
fof(f1693,plain,
spl96_131,
inference(avatar_split_clause,[],[f1003,f1691]) ).
fof(f1691,plain,
( spl96_131
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_131])]) ).
fof(f1003,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f932]) ).
fof(f932,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f527]) ).
fof(f1689,plain,
spl96_130,
inference(avatar_split_clause,[],[f1000,f1687]) ).
fof(f1687,plain,
( spl96_130
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_130])]) ).
fof(f1000,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f921]) ).
fof(f921,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f520]) ).
fof(f1685,plain,
spl96_129,
inference(avatar_split_clause,[],[f950,f1683]) ).
fof(f950,plain,
! [X0,X1] :
( sP47(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
! [X0,X1] :
( sP47(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f230,f312,f311]) ).
fof(f230,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,[],[f229]) ).
fof(f229,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(f1681,plain,
spl96_128,
inference(avatar_split_clause,[],[f865,f1679]) ).
fof(f865,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,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(f1677,plain,
spl96_127,
inference(avatar_split_clause,[],[f849,f1675]) ).
fof(f849,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,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(f1673,plain,
spl96_126,
inference(avatar_split_clause,[],[f848,f1671]) ).
fof(f1671,plain,
( spl96_126
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_126])]) ).
fof(f848,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f477]) ).
fof(f1669,plain,
spl96_125,
inference(avatar_split_clause,[],[f823,f1667]) ).
fof(f823,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f464]) ).
fof(f1665,plain,
spl96_124,
inference(avatar_split_clause,[],[f797,f1663]) ).
fof(f1663,plain,
( spl96_124
<=> ! [X0] :
( sdtlpdtrp0(xe,sK75(X0)) = X0
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_124])]) ).
fof(f797,plain,
! [X0] :
( sdtlpdtrp0(xe,sK75(X0)) = X0
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f453]) ).
fof(f1661,plain,
spl96_123,
inference(avatar_split_clause,[],[f736,f1659]) ).
fof(f1659,plain,
( spl96_123
<=> ! [X2,X0,X1,X3] :
( aSubsetOf0(X1,X3)
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_123])]) ).
fof(f736,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(X1,X3)
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1657,plain,
spl96_122,
inference(avatar_split_clause,[],[f715,f1655]) ).
fof(f715,plain,
! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f389,plain,
! [X0] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& sP20(X0)
& sP19(X0)
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP23(X0) ),
inference(rectify,[],[f388]) ).
fof(f388,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP20(X3)
& sP19(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP23(X3) ),
inference(nnf_transformation,[],[f276]) ).
fof(f1651,plain,
spl96_121,
inference(avatar_split_clause,[],[f1013,f1649]) ).
fof(f1013,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) ),
inference(forward_demodulation,[],[f666,f613]) ).
fof(f666,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1647,plain,
spl96_120,
inference(avatar_split_clause,[],[f673,f1645]) ).
fof(f673,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f1643,plain,
spl96_119,
inference(avatar_split_clause,[],[f646,f1640]) ).
fof(f646,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f358]) ).
fof(f1638,plain,
spl96_118,
inference(avatar_split_clause,[],[f557,f1636]) ).
fof(f1636,plain,
( spl96_118
<=> ! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_118])]) ).
fof(f557,plain,
! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f1634,plain,
( ~ spl96_116
| spl96_117
| ~ spl96_2
| ~ spl96_106 ),
inference(avatar_split_clause,[],[f1602,f1543,f1029,f1631,f1627]) ).
fof(f1602,plain,
( aElement0(sK48)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl96_2
| ~ spl96_106 ),
inference(resolution,[],[f1544,f1031]) ).
fof(f1584,plain,
spl96_115,
inference(avatar_split_clause,[],[f1001,f1582]) ).
fof(f1001,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP45(X4,X1,X2) ),
inference(equality_resolution,[],[f926]) ).
fof(f926,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP45(X0,X1,X2) ),
inference(cnf_transformation,[],[f525]) ).
fof(f1580,plain,
spl96_114,
inference(avatar_split_clause,[],[f912,f1578]) ).
fof(f1578,plain,
( spl96_114
<=> ! [X0,X1] :
( sP43(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_114])]) ).
fof(f912,plain,
! [X0,X1] :
( sP43(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( sP43(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f218,f305,f304]) ).
fof(f218,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,[],[f217]) ).
fof(f217,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(f1576,plain,
spl96_113,
inference(avatar_split_clause,[],[f867,f1574]) ).
fof(f1574,plain,
( spl96_113
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_113])]) ).
fof(f867,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,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(f1572,plain,
spl96_112,
inference(avatar_split_clause,[],[f866,f1570]) ).
fof(f866,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1568,plain,
spl96_111,
inference(avatar_split_clause,[],[f864,f1566]) ).
fof(f864,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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(f1564,plain,
spl96_110,
inference(avatar_split_clause,[],[f863,f1562]) ).
fof(f863,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,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(f1557,plain,
spl96_109,
inference(avatar_split_clause,[],[f862,f1555]) ).
fof(f862,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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(f1553,plain,
spl96_108,
inference(avatar_split_clause,[],[f861,f1551]) ).
fof(f1551,plain,
( spl96_108
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_108])]) ).
fof(f861,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,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(f1549,plain,
spl96_107,
inference(avatar_split_clause,[],[f854,f1547]) ).
fof(f854,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f482]) ).
fof(f1545,plain,
spl96_106,
inference(avatar_split_clause,[],[f850,f1543]) ).
fof(f850,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,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(f1541,plain,
spl96_105,
inference(avatar_split_clause,[],[f782,f1539]) ).
fof(f782,plain,
! [X0,X1] :
( isCountable0(sK72(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f1537,plain,
spl96_104,
inference(avatar_split_clause,[],[f779,f1535]) ).
fof(f1535,plain,
( spl96_104
<=> ! [X0,X1] :
( aSet0(sK72(X0,X1))
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_104])]) ).
fof(f779,plain,
! [X0,X1] :
( aSet0(sK72(X0,X1))
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f1533,plain,
spl96_103,
inference(avatar_split_clause,[],[f734,f1531]) ).
fof(f1531,plain,
( spl96_103
<=> ! [X2,X0,X1,X3] :
( aSet0(X1)
| ~ sP17(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_103])]) ).
fof(f734,plain,
! [X2,X3,X0,X1] :
( aSet0(X1)
| ~ sP17(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1529,plain,
spl96_102,
inference(avatar_split_clause,[],[f712,f1527]) ).
fof(f712,plain,
! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f1525,plain,
spl96_101,
inference(avatar_split_clause,[],[f625,f1523]) ).
fof(f625,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1521,plain,
spl96_100,
inference(avatar_split_clause,[],[f622,f1519]) ).
fof(f622,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1517,plain,
( spl96_99
| ~ spl96_24
| ~ spl96_49 ),
inference(avatar_split_clause,[],[f1271,f1255,f1139,f1514]) ).
fof(f1514,plain,
( spl96_99
<=> sP34(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_99])]) ).
fof(f1271,plain,
( sP34(xx)
| ~ spl96_24
| ~ spl96_49 ),
inference(resolution,[],[f1256,f1141]) ).
fof(f1508,plain,
spl96_98,
inference(avatar_split_clause,[],[f793,f1506]) ).
fof(f793,plain,
! [X0] :
( sP33(X0,sK74(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0] :
( ( sP33(X0,sK74(X0))
& aElementOf0(sK74(X0),xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f290,f448]) ).
fof(f448,plain,
! [X0] :
( ? [X1] :
( sP33(X0,X1)
& aElementOf0(X1,xT) )
=> ( sP33(X0,sK74(X0))
& aElementOf0(sK74(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0] :
( ? [X1] :
( sP33(X0,X1)
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f144,f289,f288,f287]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
| ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( ~ aElementOf0(X4,X2)
& aElementOf0(X4,X3) ) ) ) )
| ~ aSet0(X3) )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ( ( aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,X2)
| ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) ) ) ) )
& aSet0(X3) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,X2)
=> aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X6] :
( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ( ( aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,X2)
| ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) ) ) ) )
& aSet0(X3) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4411) ).
fof(f1504,plain,
spl96_97,
inference(avatar_split_clause,[],[f792,f1502]) ).
fof(f792,plain,
! [X0] :
( aElementOf0(sK74(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f1500,plain,
spl96_96,
inference(avatar_split_clause,[],[f774,f1498]) ).
fof(f1498,plain,
( spl96_96
<=> ! [X0] :
( sP30(sK71(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_96])]) ).
fof(f774,plain,
! [X0] :
( sP30(sK71(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f436,plain,
! [X0] :
( ( sP30(sK71(X0),X0)
& aElementOf0(sK71(X0),xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f286,f435]) ).
fof(f435,plain,
! [X0] :
( ? [X1] :
( sP30(X1,X0)
& aElementOf0(X1,xT) )
=> ( sP30(sK71(X0),X0)
& aElementOf0(sK71(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0] :
( ? [X1] :
( sP30(X1,X0)
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f142,f285]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(f1496,plain,
( spl96_95
| ~ spl96_22
| ~ spl96_48 ),
inference(avatar_split_clause,[],[f1270,f1251,f1129,f1493]) ).
fof(f1493,plain,
( spl96_95
<=> sP11(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_95])]) ).
fof(f1270,plain,
( sP11(xi)
| ~ spl96_22
| ~ spl96_48 ),
inference(resolution,[],[f1252,f1131]) ).
fof(f1491,plain,
spl96_94,
inference(avatar_split_clause,[],[f773,f1489]) ).
fof(f773,plain,
! [X0] :
( aElementOf0(sK71(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f1487,plain,
spl96_93,
inference(avatar_split_clause,[],[f674,f1485]) ).
fof(f674,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f1483,plain,
spl96_92,
inference(avatar_split_clause,[],[f671,f1481]) ).
fof(f671,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f1479,plain,
spl96_91,
inference(avatar_split_clause,[],[f556,f1477]) ).
fof(f556,plain,
! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f1460,plain,
( spl96_90
| ~ spl96_23
| ~ spl96_48 ),
inference(avatar_split_clause,[],[f1269,f1251,f1134,f1457]) ).
fof(f1457,plain,
( spl96_90
<=> sP11(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_90])]) ).
fof(f1269,plain,
( sP11(xk)
| ~ spl96_23
| ~ spl96_48 ),
inference(resolution,[],[f1252,f1136]) ).
fof(f1446,plain,
( spl96_89
| ~ spl96_20
| ~ spl96_48 ),
inference(avatar_split_clause,[],[f1268,f1251,f1119,f1443]) ).
fof(f1443,plain,
( spl96_89
<=> sP11(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_89])]) ).
fof(f1268,plain,
( sP11(xK)
| ~ spl96_20
| ~ spl96_48 ),
inference(resolution,[],[f1252,f1121]) ).
fof(f1441,plain,
spl96_88,
inference(avatar_split_clause,[],[f988,f1439]) ).
fof(f988,plain,
! [X0] :
( sP40(X0,slbdtrb0(X0))
| ~ sP41(X0) ),
inference(equality_resolution,[],[f870]) ).
fof(f870,plain,
! [X0,X1] :
( sP40(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f485]) ).
fof(f1436,plain,
( ~ spl96_18
| spl96_87 ),
inference(avatar_split_clause,[],[f987,f1433,f1109]) ).
fof(f987,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f847]) ).
fof(f847,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f476]) ).
fof(f1431,plain,
spl96_86,
inference(avatar_split_clause,[],[f943,f1429]) ).
fof(f943,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP46(X0,X1,X2) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1427,plain,
spl96_85,
inference(avatar_split_clause,[],[f905,f1425]) ).
fof(f905,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP42(X0,X1,X2) ),
inference(cnf_transformation,[],[f513]) ).
fof(f1423,plain,
spl96_84,
inference(avatar_split_clause,[],[f885,f1421]) ).
fof(f885,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,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(f1419,plain,
spl96_83,
inference(avatar_split_clause,[],[f860,f1417]) ).
fof(f860,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,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(f1415,plain,
spl96_82,
inference(avatar_split_clause,[],[f859,f1413]) ).
fof(f859,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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(f1411,plain,
spl96_81,
inference(avatar_split_clause,[],[f858,f1409]) ).
fof(f858,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,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(f1407,plain,
spl96_80,
inference(avatar_split_clause,[],[f830,f1405]) ).
fof(f830,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f1403,plain,
( spl96_79
| ~ spl96_25
| ~ spl96_48 ),
inference(avatar_split_clause,[],[f1267,f1251,f1144,f1400]) ).
fof(f1400,plain,
( spl96_79
<=> sP11(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_79])]) ).
fof(f1267,plain,
( sP11(sz00)
| ~ spl96_25
| ~ spl96_48 ),
inference(resolution,[],[f1252,f1146]) ).
fof(f1398,plain,
spl96_78,
inference(avatar_split_clause,[],[f822,f1396]) ).
fof(f822,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f464]) ).
fof(f1394,plain,
spl96_77,
inference(avatar_split_clause,[],[f794,f1392]) ).
fof(f794,plain,
! [X0] :
( aElementOf0(sK75(X0),szNzAzT0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f453]) ).
fof(f1390,plain,
spl96_76,
inference(avatar_split_clause,[],[f746,f1388]) ).
fof(f1388,plain,
( spl96_76
<=> ! [X0,X1] :
( sP26(X0,X1)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_76])]) ).
fof(f746,plain,
! [X0,X1] :
( sP26(X0,X1)
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f1386,plain,
spl96_75,
inference(avatar_split_clause,[],[f726,f1384]) ).
fof(f1384,plain,
( spl96_75
<=> ! [X0] :
( ~ aElementOf0(sK63(X0),xT)
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_75])]) ).
fof(f726,plain,
! [X0] :
( ~ aElementOf0(sK63(X0),xT)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f401]) ).
fof(f1382,plain,
spl96_74,
inference(avatar_split_clause,[],[f694,f1380]) ).
fof(f1380,plain,
( spl96_74
<=> ! [X0,X1] :
( sP13(X1,X0)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_74])]) ).
fof(f694,plain,
! [X0,X1] :
( sP13(X1,X0)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1378,plain,
spl96_73,
inference(avatar_split_clause,[],[f685,f1376]) ).
fof(f1376,plain,
( spl96_73
<=> ! [X0,X1] :
( sP14(X0,X1)
| ~ sP16(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_73])]) ).
fof(f685,plain,
! [X0,X1] :
( sP14(X0,X1)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1374,plain,
spl96_72,
inference(avatar_split_clause,[],[f592,f1372]) ).
fof(f592,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f1370,plain,
spl96_71,
inference(avatar_split_clause,[],[f568,f1368]) ).
fof(f1368,plain,
( spl96_71
<=> ! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_71])]) ).
fof(f568,plain,
! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1366,plain,
( spl96_70
| ~ spl96_22
| ~ spl96_43 ),
inference(avatar_split_clause,[],[f1266,f1227,f1129,f1363]) ).
fof(f1363,plain,
( spl96_70
<=> sP8(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_70])]) ).
fof(f1266,plain,
( sP8(xi)
| ~ spl96_22
| ~ spl96_43 ),
inference(resolution,[],[f1228,f1131]) ).
fof(f1361,plain,
spl96_69,
inference(avatar_split_clause,[],[f668,f1358]) ).
fof(f668,plain,
aElementOf0(sK57,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f366]) ).
fof(f366,plain,
( aElementOf0(xx,xO)
& xx = sdtlpdtrp0(xe,sK57)
& aElementOf0(sK57,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f98,f365]) ).
fof(f365,plain,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( xx = sdtlpdtrp0(xe,sK57)
& aElementOf0(sK57,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f98,axiom,
( aElementOf0(xx,xO)
& ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).
fof(f1356,plain,
spl96_68,
inference(avatar_split_clause,[],[f650,f1354]) ).
fof(f650,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f1352,plain,
spl96_67,
inference(avatar_split_clause,[],[f567,f1349]) ).
fof(f567,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f320]) ).
fof(f1347,plain,
spl96_66,
inference(avatar_split_clause,[],[f561,f1344]) ).
fof(f1342,plain,
spl96_65,
inference(avatar_split_clause,[],[f554,f1340]) ).
fof(f554,plain,
! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f1334,plain,
( spl96_64
| ~ spl96_23
| ~ spl96_43 ),
inference(avatar_split_clause,[],[f1265,f1227,f1134,f1331]) ).
fof(f1331,plain,
( spl96_64
<=> sP8(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_64])]) ).
fof(f1265,plain,
( sP8(xk)
| ~ spl96_23
| ~ spl96_43 ),
inference(resolution,[],[f1228,f1136]) ).
fof(f1325,plain,
spl96_63,
inference(avatar_split_clause,[],[f879,f1323]) ).
fof(f879,plain,
! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f189,f302,f301]) ).
fof(f189,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(f1321,plain,
( spl96_62
| ~ spl96_20
| ~ spl96_43 ),
inference(avatar_split_clause,[],[f1264,f1227,f1119,f1318]) ).
fof(f1318,plain,
( spl96_62
<=> sP8(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_62])]) ).
fof(f1264,plain,
( sP8(xK)
| ~ spl96_20
| ~ spl96_43 ),
inference(resolution,[],[f1228,f1121]) ).
fof(f1316,plain,
spl96_61,
inference(avatar_split_clause,[],[f872,f1314]) ).
fof(f872,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
fof(f1312,plain,
spl96_60,
inference(avatar_split_clause,[],[f845,f1310]) ).
fof(f845,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,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(f1308,plain,
spl96_59,
inference(avatar_split_clause,[],[f844,f1306]) ).
fof(f844,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,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(f1304,plain,
spl96_58,
inference(avatar_split_clause,[],[f817,f1302]) ).
fof(f1302,plain,
( spl96_58
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_58])]) ).
fof(f817,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,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(f1300,plain,
spl96_57,
inference(avatar_split_clause,[],[f778,f1298]) ).
fof(f778,plain,
! [X0,X1] :
( sP31(X0)
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
fof(f1296,plain,
spl96_56,
inference(avatar_split_clause,[],[f751,f1294]) ).
fof(f1294,plain,
( spl96_56
<=> ! [X0,X1] :
( sP27(X0)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_56])]) ).
fof(f751,plain,
! [X0,X1] :
( sP27(X0)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f1292,plain,
spl96_55,
inference(avatar_split_clause,[],[f745,f1290]) ).
fof(f1290,plain,
( spl96_55
<=> ! [X0,X1] :
( sP25(X0)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_55])]) ).
fof(f745,plain,
! [X0,X1] :
( sP25(X0)
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f1288,plain,
spl96_54,
inference(avatar_split_clause,[],[f693,f1286]) ).
fof(f1286,plain,
( spl96_54
<=> ! [X0,X1] :
( sP12(X0)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_54])]) ).
fof(f693,plain,
! [X0,X1] :
( sP12(X0)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1284,plain,
spl96_53,
inference(avatar_split_clause,[],[f591,f1282]) ).
fof(f591,plain,
! [X0,X1] :
( sP1(X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f1280,plain,
spl96_52,
inference(avatar_split_clause,[],[f580,f1278]) ).
fof(f1278,plain,
( spl96_52
<=> ! [X0,X1] :
( sP0(X1,X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_52])]) ).
fof(f580,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f1276,plain,
( spl96_51
| ~ spl96_25
| ~ spl96_43 ),
inference(avatar_split_clause,[],[f1263,f1227,f1144,f1273]) ).
fof(f1263,plain,
( sP8(sz00)
| ~ spl96_25
| ~ spl96_43 ),
inference(resolution,[],[f1228,f1146]) ).
fof(f1262,plain,
spl96_50,
inference(avatar_split_clause,[],[f1012,f1259]) ).
fof(f1012,plain,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(forward_demodulation,[],[f667,f613]) ).
fof(f667,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f364]) ).
fof(f1257,plain,
spl96_49,
inference(avatar_split_clause,[],[f799,f1255]) ).
fof(f799,plain,
! [X0] :
( sP34(X0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f292]) ).
fof(f1253,plain,
spl96_48,
inference(avatar_split_clause,[],[f679,f1251]) ).
fof(f679,plain,
! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1249,plain,
spl96_47,
inference(avatar_split_clause,[],[f669,f1246]) ).
fof(f669,plain,
xx = sdtlpdtrp0(xe,sK57),
inference(cnf_transformation,[],[f366]) ).
fof(f1244,plain,
spl96_46,
inference(avatar_split_clause,[],[f654,f1241]) ).
fof(f654,plain,
xx = sdtlpdtrp0(xe,xi),
inference(cnf_transformation,[],[f99]) ).
fof(f99,axiom,
( xx = sdtlpdtrp0(xe,xi)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).
fof(f1239,plain,
spl96_45,
inference(avatar_split_clause,[],[f639,f1236]) ).
fof(f639,plain,
aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f358]) ).
fof(f1234,plain,
spl96_44,
inference(avatar_split_clause,[],[f632,f1231]) ).
fof(f632,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f353]) ).
fof(f1229,plain,
spl96_43,
inference(avatar_split_clause,[],[f611,f1227]) ).
fof(f611,plain,
! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(definition_folding,[],[f126,f257,f256,f255,f254,f253,f252,f251,f250,f249]) ).
fof(f126,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( aElementOf0(X6,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( ( xk = sbrdtbr0(X7)
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
=> aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(f1225,plain,
spl96_42,
inference(avatar_split_clause,[],[f562,f1222]) ).
fof(f562,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f320]) ).
fof(f1220,plain,
( ~ spl96_18
| ~ spl96_41 ),
inference(avatar_split_clause,[],[f989,f1217,f1109]) ).
fof(f1217,plain,
( spl96_41
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_41])]) ).
fof(f989,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f886]) ).
fof(f886,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,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(f1215,plain,
spl96_40,
inference(avatar_split_clause,[],[f810,f1212]) ).
fof(f810,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f1210,plain,
spl96_39,
inference(avatar_split_clause,[],[f714,f1208]) ).
fof(f1208,plain,
( spl96_39
<=> ! [X0] :
( sP20(X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_39])]) ).
fof(f714,plain,
! [X0] :
( sP20(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f1206,plain,
spl96_38,
inference(avatar_split_clause,[],[f713,f1204]) ).
fof(f1204,plain,
( spl96_38
<=> ! [X0] :
( sP19(X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_38])]) ).
fof(f713,plain,
! [X0] :
( sP19(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f1202,plain,
spl96_37,
inference(avatar_split_clause,[],[f621,f1200]) ).
fof(f1200,plain,
( spl96_37
<=> ! [X0] :
( sP9(X0)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_37])]) ).
fof(f621,plain,
! [X0] :
( sP9(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1198,plain,
spl96_36,
inference(avatar_split_clause,[],[f575,f1196]) ).
fof(f575,plain,
! [X0] :
( sP7(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1194,plain,
spl96_35,
inference(avatar_split_clause,[],[f573,f1192]) ).
fof(f573,plain,
! [X0] :
( sP6(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1190,plain,
spl96_34,
inference(avatar_split_clause,[],[f572,f1188]) ).
fof(f572,plain,
! [X0] :
( sP5(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1186,plain,
spl96_33,
inference(avatar_split_clause,[],[f1019,f1183]) ).
fof(f1019,plain,
aSet0(sdtlcdtrc0(xd,szNzAzT0)),
inference(forward_demodulation,[],[f662,f613]) ).
fof(f662,plain,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f364]) ).
fof(f1181,plain,
spl96_32,
inference(avatar_split_clause,[],[f657,f1178]) ).
fof(f657,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f359]) ).
fof(f359,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f1176,plain,
spl96_31,
inference(avatar_split_clause,[],[f656,f1173]) ).
fof(f656,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(f1171,plain,
spl96_30,
inference(avatar_split_clause,[],[f631,f1168]) ).
fof(f631,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f353]) ).
fof(f1166,plain,
spl96_29,
inference(avatar_split_clause,[],[f613,f1163]) ).
fof(f1161,plain,
spl96_28,
inference(avatar_split_clause,[],[f610,f1158]) ).
fof(f610,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f258]) ).
fof(f1156,plain,
spl96_27,
inference(avatar_split_clause,[],[f549,f1153]) ).
fof(f549,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f122]) ).
fof(f1151,plain,
spl96_26,
inference(avatar_split_clause,[],[f994,f1149]) ).
fof(f994,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f899]) ).
fof(f899,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f507]) ).
fof(f1147,plain,
spl96_25,
inference(avatar_split_clause,[],[f809,f1144]) ).
fof(f809,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f1142,plain,
spl96_24,
inference(avatar_split_clause,[],[f670,f1139]) ).
fof(f670,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f366]) ).
fof(f1137,plain,
spl96_23,
inference(avatar_split_clause,[],[f655,f1134]) ).
fof(f655,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f1132,plain,
spl96_22,
inference(avatar_split_clause,[],[f653,f1129]) ).
fof(f653,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f99]) ).
fof(f1127,plain,
spl96_21,
inference(avatar_split_clause,[],[f651,f1124]) ).
fof(f651,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f131]) ).
fof(f1122,plain,
spl96_20,
inference(avatar_split_clause,[],[f547,f1119]) ).
fof(f547,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f1117,plain,
~ spl96_19,
inference(avatar_split_clause,[],[f545,f1114]) ).
fof(f545,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f1112,plain,
spl96_18,
inference(avatar_split_clause,[],[f995,f1109]) ).
fof(f995,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f898]) ).
fof(f898,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f507]) ).
fof(f1107,plain,
spl96_17,
inference(avatar_split_clause,[],[f812,f1104]) ).
fof(f812,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f1102,plain,
spl96_16,
inference(avatar_split_clause,[],[f811,f1099]) ).
fof(f811,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f1097,plain,
spl96_15,
inference(avatar_split_clause,[],[f808,f1094]) ).
fof(f808,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f1092,plain,
spl96_14,
inference(avatar_split_clause,[],[f652,f1089]) ).
fof(f652,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f131]) ).
fof(f1087,plain,
spl96_13,
inference(avatar_split_clause,[],[f649,f1084]) ).
fof(f649,plain,
aSet0(xS),
inference(cnf_transformation,[],[f131]) ).
fof(f1082,plain,
spl96_12,
inference(avatar_split_clause,[],[f648,f1079]) ).
fof(f648,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f1077,plain,
spl96_11,
inference(avatar_split_clause,[],[f647,f1074]) ).
fof(f647,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f1072,plain,
spl96_10,
inference(avatar_split_clause,[],[f637,f1069]) ).
fof(f637,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f1067,plain,
spl96_9,
inference(avatar_split_clause,[],[f636,f1064]) ).
fof(f636,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f1062,plain,
spl96_8,
inference(avatar_split_clause,[],[f630,f1059]) ).
fof(f630,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f353]) ).
fof(f1057,plain,
spl96_7,
inference(avatar_split_clause,[],[f612,f1054]) ).
fof(f612,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f346]) ).
fof(f1052,plain,
spl96_6,
inference(avatar_split_clause,[],[f609,f1049]) ).
fof(f609,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f258]) ).
fof(f1047,plain,
spl96_5,
inference(avatar_split_clause,[],[f553,f1044]) ).
fof(f553,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f320]) ).
fof(f1042,plain,
spl96_4,
inference(avatar_split_clause,[],[f548,f1039]) ).
fof(f548,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f122]) ).
fof(f1037,plain,
~ spl96_3,
inference(avatar_split_clause,[],[f544,f1034]) ).
fof(f544,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ~ aElementOf0(sK48,xS)
& aElementOf0(sK48,sdtlpdtrp0(xN,xi)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f121,f314]) ).
fof(f314,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
=> ( ~ aElementOf0(sK48,xS)
& aElementOf0(sK48,sdtlpdtrp0(xN,xi)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
inference(negated_conjecture,[],[f100]) ).
fof(f100,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1032,plain,
spl96_2,
inference(avatar_split_clause,[],[f542,f1029]) ).
fof(f542,plain,
aElementOf0(sK48,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f315]) ).
fof(f1027,plain,
~ spl96_1,
inference(avatar_split_clause,[],[f543,f1024]) ).
fof(f543,plain,
~ aElementOf0(sK48,xS),
inference(cnf_transformation,[],[f315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM603+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:57:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (26416)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.38 % (26419)WARNING: value z3 for option sas not known
% 0.19/0.38 % (26421)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)
% 0.19/0.38 % (26420)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.38 % (26419)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)
% 0.19/0.38 % (26423)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)
% 0.19/0.38 % (26418)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.39 % (26422)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)
% 0.19/0.39 % (26417)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.44 TRYING [1]
% 0.19/0.45 TRYING [2]
% 0.19/0.50 TRYING [3]
% 2.25/0.72 TRYING [4]
% 5.56/1.22 % (26421)First to succeed.
% 5.99/1.25 % (26421)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26416"
% 5.99/1.26 % (26421)Refutation found. Thanks to Tanya!
% 5.99/1.26 % SZS status Theorem for theBenchmark
% 5.99/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/1.28 % (26421)------------------------------
% 6.07/1.28 % (26421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.07/1.28 % (26421)Termination reason: Refutation
% 6.07/1.28
% 6.07/1.28 % (26421)Memory used [KB]: 11053
% 6.07/1.28 % (26421)Time elapsed: 0.867 s
% 6.07/1.28 % (26421)Instructions burned: 1617 (million)
% 6.07/1.28 % (26416)Success in time 0.901 s
%------------------------------------------------------------------------------