TSTP Solution File: NUM582+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n031.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 : Fri Sep 1 20:20:55 EDT 2023
% Result : Theorem 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 472
% Syntax : Number of formulae : 1489 ( 219 unt; 0 def)
% Number of atoms : 5803 ( 731 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 7391 (3077 ~;3257 |; 492 &)
% ( 437 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 383 ( 381 usr; 361 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 11 con; 0-3 aty)
% Number of variables : 2027 (;1937 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3727,plain,
$false,
inference(avatar_sat_refutation,[],[f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f597,f601,f605,f609,f613,f617,f628,f633,f637,f641,f646,f650,f654,f658,f662,f666,f670,f674,f684,f699,f705,f709,f714,f718,f722,f726,f730,f734,f738,f742,f746,f770,f776,f780,f784,f788,f792,f817,f824,f828,f832,f836,f840,f844,f848,f852,f857,f861,f865,f869,f873,f886,f910,f914,f918,f922,f926,f930,f934,f938,f942,f946,f950,f954,f980,f984,f988,f992,f996,f1000,f1004,f1008,f1030,f1037,f1042,f1046,f1050,f1054,f1059,f1063,f1067,f1071,f1075,f1079,f1083,f1087,f1091,f1095,f1099,f1104,f1108,f1112,f1146,f1155,f1159,f1164,f1168,f1172,f1176,f1180,f1184,f1188,f1192,f1196,f1202,f1223,f1227,f1232,f1236,f1240,f1244,f1248,f1252,f1256,f1260,f1264,f1268,f1273,f1333,f1337,f1341,f1345,f1349,f1353,f1357,f1361,f1365,f1369,f1373,f1377,f1381,f1385,f1389,f1483,f1494,f1498,f1502,f1506,f1510,f1514,f1579,f1586,f1590,f1594,f1598,f1604,f1608,f1647,f1656,f1660,f1664,f1668,f1672,f1676,f1680,f1684,f1798,f1802,f1844,f1848,f1852,f1856,f1895,f1899,f1904,f1908,f1932,f1964,f1968,f1972,f1977,f1996,f2007,f2011,f2015,f2032,f2036,f2050,f2055,f2059,f2087,f2097,f2102,f2107,f2112,f2113,f2118,f2123,f2128,f2133,f2146,f2151,f2156,f2160,f2164,f2168,f2196,f2201,f2206,f2211,f2216,f2222,f2226,f2268,f2272,f2276,f2280,f2284,f2292,f2302,f2312,f2322,f2348,f2353,f2382,f2405,f2411,f2437,f2441,f2479,f2484,f2508,f2512,f2517,f2522,f2531,f2535,f2539,f2543,f2547,f2579,f2599,f2605,f2611,f2616,f2629,f2639,f2649,f2658,f2663,f2667,f2671,f2675,f2679,f2683,f2688,f2725,f2730,f2731,f2738,f2742,f2746,f2750,f2755,f2764,f2769,f2773,f2777,f2856,f2861,f2868,f2872,f2876,f2880,f2892,f2900,f2904,f2908,f2912,f2916,f2920,f2937,f2941,f3047,f3051,f3080,f3085,f3093,f3103,f3108,f3112,f3113,f3118,f3122,f3126,f3163,f3167,f3171,f3176,f3180,f3184,f3188,f3192,f3220,f3230,f3235,f3272,f3280,f3289,f3298,f3303,f3322,f3326,f3331,f3337,f3341,f3375,f3415,f3420,f3425,f3434,f3444,f3448,f3462,f3474,f3487,f3491,f3497,f3509,f3513,f3530,f3540,f3550,f3558,f3562,f3566,f3610,f3640,f3650,f3662,f3666,f3670,f3674,f3678,f3717,f3721,f3726]) ).
fof(f3726,plain,
( ~ spl33_137
| ~ spl33_11
| spl33_1
| ~ spl33_353 ),
inference(avatar_split_clause,[],[f3651,f3648,f500,f550,f1270]) ).
fof(f1270,plain,
( spl33_137
<=> sdtlseqdt0(sz00,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_137])]) ).
fof(f550,plain,
( spl33_11
<=> aElementOf0(xi,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f500,plain,
( spl33_1
<=> aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f3648,plain,
( spl33_353
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_353])]) ).
fof(f3651,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(sz00,xi)
| spl33_1
| ~ spl33_353 ),
inference(resolution,[],[f3649,f502]) ).
fof(f502,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| spl33_1 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f3649,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl33_353 ),
inference(avatar_component_clause,[],[f3648]) ).
fof(f3721,plain,
( ~ spl33_8
| spl33_360
| ~ spl33_32
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1130,f1069,f652,f3719,f535]) ).
fof(f535,plain,
( spl33_8
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f3719,plain,
( spl33_360
<=> ! [X2] :
( aSubsetOf0(szNzAzT0,X2)
| sdtlseqdt0(sK20(X2,szNzAzT0),sK20(X2,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_360])]) ).
fof(f652,plain,
( spl33_32
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f1069,plain,
( spl33_101
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_101])]) ).
fof(f1130,plain,
( ! [X2] :
( aSubsetOf0(szNzAzT0,X2)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X2)
| sdtlseqdt0(sK20(X2,szNzAzT0),sK20(X2,szNzAzT0)) )
| ~ spl33_32
| ~ spl33_101 ),
inference(resolution,[],[f1070,f653]) ).
fof(f653,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f1070,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_101 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f3717,plain,
( spl33_359
| ~ spl33_68
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1125,f1061,f863,f3715]) ).
fof(f3715,plain,
( spl33_359
<=> ! [X4] :
( sdtpldt0(sdtmndt0(X4,sK26(X4)),sK26(X4)) = X4
| ~ aSet0(X4)
| slcrc0 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_359])]) ).
fof(f863,plain,
( spl33_68
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
fof(f1061,plain,
( spl33_99
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_99])]) ).
fof(f1125,plain,
( ! [X4] :
( sdtpldt0(sdtmndt0(X4,sK26(X4)),sK26(X4)) = X4
| ~ aSet0(X4)
| slcrc0 = X4 )
| ~ spl33_68
| ~ spl33_99 ),
inference(duplicate_literal_removal,[],[f1123]) ).
fof(f1123,plain,
( ! [X4] :
( sdtpldt0(sdtmndt0(X4,sK26(X4)),sK26(X4)) = X4
| ~ aSet0(X4)
| slcrc0 = X4
| ~ aSet0(X4) )
| ~ spl33_68
| ~ spl33_99 ),
inference(resolution,[],[f1062,f864]) ).
fof(f864,plain,
( ! [X0] :
( aElementOf0(sK26(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl33_68 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f1062,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl33_99 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f3678,plain,
( ~ spl33_8
| spl33_358
| ~ spl33_47
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1116,f1061,f732,f3676,f535]) ).
fof(f3676,plain,
( spl33_358
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_358])]) ).
fof(f732,plain,
( spl33_47
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_47])]) ).
fof(f1116,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_47
| ~ spl33_99 ),
inference(resolution,[],[f1062,f733]) ).
fof(f733,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_47 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f3674,plain,
( spl33_357
| ~ spl33_47
| ~ spl33_86 ),
inference(avatar_split_clause,[],[f1017,f986,f732,f3672]) ).
fof(f3672,plain,
( spl33_357
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_357])]) ).
fof(f986,plain,
( spl33_86
<=> ! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_86])]) ).
fof(f1017,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_47
| ~ spl33_86 ),
inference(resolution,[],[f987,f733]) ).
fof(f987,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK21(X0)) = X0 )
| ~ spl33_86 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f3670,plain,
( spl33_356
| ~ spl33_65
| ~ spl33_80 ),
inference(avatar_split_clause,[],[f970,f940,f850,f3668]) ).
fof(f3668,plain,
( spl33_356
<=> ! [X4,X5] :
( ~ aElement0(X4)
| ~ aFunction0(X5)
| isFinite0(sdtlbdtrb0(X5,X4))
| ~ isFinite0(szDzozmdt0(X5))
| ~ aSet0(szDzozmdt0(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_356])]) ).
fof(f850,plain,
( spl33_65
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_65])]) ).
fof(f940,plain,
( spl33_80
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_80])]) ).
fof(f970,plain,
( ! [X4,X5] :
( ~ aElement0(X4)
| ~ aFunction0(X5)
| isFinite0(sdtlbdtrb0(X5,X4))
| ~ isFinite0(szDzozmdt0(X5))
| ~ aSet0(szDzozmdt0(X5)) )
| ~ spl33_65
| ~ spl33_80 ),
inference(resolution,[],[f941,f851]) ).
fof(f851,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_65 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f941,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_80 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f3666,plain,
( spl33_355
| ~ spl33_34
| ~ spl33_76 ),
inference(avatar_split_clause,[],[f958,f924,f660,f3664]) ).
fof(f3664,plain,
( spl33_355
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_355])]) ).
fof(f660,plain,
( spl33_34
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f924,plain,
( spl33_76
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_76])]) ).
fof(f958,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl33_34
| ~ spl33_76 ),
inference(resolution,[],[f925,f661]) ).
fof(f661,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f925,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_76 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f3662,plain,
( spl33_354
| ~ spl33_34
| ~ spl33_75 ),
inference(avatar_split_clause,[],[f957,f920,f660,f3660]) ).
fof(f3660,plain,
( spl33_354
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_354])]) ).
fof(f920,plain,
( spl33_75
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_75])]) ).
fof(f957,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl33_34
| ~ spl33_75 ),
inference(resolution,[],[f921,f661]) ).
fof(f921,plain,
( ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_75 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f3650,plain,
( ~ spl33_15
| spl33_353
| ~ spl33_19
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1490,f1481,f590,f3648,f570]) ).
fof(f570,plain,
( spl33_15
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f590,plain,
( spl33_19
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f1481,plain,
( spl33_153
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_153])]) ).
fof(f1490,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_19
| ~ spl33_153 ),
inference(superposition,[],[f1482,f592]) ).
fof(f592,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f1482,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_153 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f3640,plain,
( ~ spl33_15
| spl33_352
| ~ spl33_19
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1489,f1481,f590,f3638,f570]) ).
fof(f3638,plain,
( spl33_352
<=> ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_352])]) ).
fof(f1489,plain,
( ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_19
| ~ spl33_153 ),
inference(superposition,[],[f1482,f592]) ).
fof(f3610,plain,
( ~ spl33_14
| spl33_351
| ~ spl33_17
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1469,f1379,f580,f3608,f565]) ).
fof(f565,plain,
( spl33_14
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f3608,plain,
( spl33_351
<=> ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_351])]) ).
fof(f580,plain,
( spl33_17
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f1379,plain,
( spl33_150
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_150])]) ).
fof(f1469,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_17
| ~ spl33_150 ),
inference(superposition,[],[f1380,f582]) ).
fof(f582,plain,
( xK = szszuzczcdt0(xk)
| ~ spl33_17 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f1380,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_150 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f3566,plain,
( spl33_350
| ~ spl33_157 ),
inference(avatar_split_clause,[],[f1539,f1504,f3564]) ).
fof(f3564,plain,
( spl33_350
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szDzozmdt0(X2))
| ~ sP6(sdtlpdtrp0(X2,X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_350])]) ).
fof(f1504,plain,
( spl33_157
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_157])]) ).
fof(f1539,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szDzozmdt0(X2))
| ~ sP6(sdtlpdtrp0(X2,X0),X2,X1) )
| ~ spl33_157 ),
inference(equality_resolution,[],[f1505]) ).
fof(f1505,plain,
( ! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) != X0
| aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(X0,X1,X2) )
| ~ spl33_157 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f3562,plain,
( spl33_349
| ~ spl33_156 ),
inference(avatar_split_clause,[],[f1537,f1500,f3560]) ).
fof(f3560,plain,
( spl33_349
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| sdtlseqdt0(szmzizndt0(X1),X0)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_349])]) ).
fof(f1500,plain,
( spl33_156
<=> ! [X0,X1,X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_156])]) ).
fof(f1537,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| sdtlseqdt0(szmzizndt0(X1),X0)
| slcrc0 = X1
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl33_156 ),
inference(equality_resolution,[],[f1501]) ).
fof(f1501,plain,
( ! [X3,X0,X1] :
( szmzizndt0(X0) != X1
| ~ aElementOf0(X3,X0)
| sdtlseqdt0(X1,X3)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_156 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f3558,plain,
( ~ spl33_8
| spl33_348
| ~ spl33_22
| ~ spl33_229 ),
inference(avatar_split_clause,[],[f2303,f2300,f603,f3555,f535]) ).
fof(f3555,plain,
( spl33_348
<=> sP1(szNzAzT0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_348])]) ).
fof(f603,plain,
( spl33_22
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f2300,plain,
( spl33_229
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_229])]) ).
fof(f2303,plain,
( sP1(szNzAzT0,xN)
| ~ aSet0(szNzAzT0)
| ~ spl33_22
| ~ spl33_229 ),
inference(resolution,[],[f2301,f604]) ).
fof(f604,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl33_22 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f2301,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN) )
| ~ spl33_229 ),
inference(avatar_component_clause,[],[f2300]) ).
fof(f3550,plain,
( ~ spl33_15
| spl33_347
| ~ spl33_18
| ~ spl33_135 ),
inference(avatar_split_clause,[],[f1325,f1262,f585,f3548,f570]) ).
fof(f3548,plain,
( spl33_347
<=> ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_347])]) ).
fof(f585,plain,
( spl33_18
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f1262,plain,
( spl33_135
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_135])]) ).
fof(f1325,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_18
| ~ spl33_135 ),
inference(superposition,[],[f1263,f587]) ).
fof(f587,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f1263,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_135 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f3540,plain,
( ~ spl33_15
| spl33_346
| ~ spl33_18
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1320,f1258,f585,f3538,f570]) ).
fof(f3538,plain,
( spl33_346
<=> ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_346])]) ).
fof(f1258,plain,
( spl33_134
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_134])]) ).
fof(f1320,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_18
| ~ spl33_134 ),
inference(superposition,[],[f1259,f587]) ).
fof(f1259,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_134 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f3530,plain,
( ~ spl33_15
| spl33_345
| ~ spl33_18
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1319,f1258,f585,f3528,f570]) ).
fof(f3528,plain,
( spl33_345
<=> ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_345])]) ).
fof(f1319,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_18
| ~ spl33_134 ),
inference(superposition,[],[f1259,f587]) ).
fof(f3513,plain,
( ~ spl33_8
| spl33_344
| ~ spl33_24
| ~ spl33_130 ),
inference(avatar_split_clause,[],[f1284,f1242,f611,f3511,f535]) ).
fof(f3511,plain,
( spl33_344
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sP5(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_344])]) ).
fof(f611,plain,
( spl33_24
<=> ! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f1242,plain,
( spl33_130
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_130])]) ).
fof(f1284,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP5(X0) )
| ~ spl33_24
| ~ spl33_130 ),
inference(resolution,[],[f1243,f612]) ).
fof(f612,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(X0) )
| ~ spl33_24 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f1243,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_130 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f3509,plain,
( spl33_343
| ~ spl33_55
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f960,f928,f786,f3507]) ).
fof(f3507,plain,
( spl33_343
<=> ! [X2] :
( sz00 = X2
| ~ aElementOf0(X2,szNzAzT0)
| sK21(X2) = sbrdtbr0(slbdtrb0(sK21(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_343])]) ).
fof(f786,plain,
( spl33_55
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_55])]) ).
fof(f928,plain,
( spl33_77
<=> ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_77])]) ).
fof(f960,plain,
( ! [X2] :
( sz00 = X2
| ~ aElementOf0(X2,szNzAzT0)
| sK21(X2) = sbrdtbr0(slbdtrb0(sK21(X2))) )
| ~ spl33_55
| ~ spl33_77 ),
inference(resolution,[],[f929,f787]) ).
fof(f787,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl33_55 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f929,plain,
( ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_77 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f3497,plain,
( ~ spl33_15
| spl33_342
| ~ spl33_6
| ~ spl33_13
| ~ spl33_19
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1581,f1577,f590,f560,f525,f3494,f570]) ).
fof(f3494,plain,
( spl33_342
<=> isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_342])]) ).
fof(f525,plain,
( spl33_6
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f560,plain,
( spl33_13
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f1577,plain,
( spl33_160
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_160])]) ).
fof(f1581,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isCountable0(xS)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_19
| ~ spl33_160 ),
inference(superposition,[],[f1578,f592]) ).
fof(f1578,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_160 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f3491,plain,
( spl33_341
| ~ spl33_15
| ~ spl33_16
| ~ spl33_19
| ~ spl33_157 ),
inference(avatar_split_clause,[],[f1540,f1504,f590,f575,f570,f3489]) ).
fof(f3489,plain,
( spl33_341
<=> ! [X0,X1] :
( xS != X0
| ~ sP6(X0,xN,X1)
| aElementOf0(sz00,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_341])]) ).
fof(f575,plain,
( spl33_16
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( ~ aElementOf0(sz00,szNzAzT0)
| xS != X0
| aElementOf0(sz00,X1)
| ~ sP6(X0,xN,X1) )
| ~ spl33_16
| ~ spl33_19
| ~ spl33_157 ),
inference(forward_demodulation,[],[f1538,f577]) ).
fof(f577,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1538,plain,
( ! [X0,X1] :
( xS != X0
| aElementOf0(sz00,X1)
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ sP6(X0,xN,X1) )
| ~ spl33_19
| ~ spl33_157 ),
inference(superposition,[],[f1505,f592]) ).
fof(f3487,plain,
( spl33_340
| ~ spl33_19
| ~ spl33_140 ),
inference(avatar_split_clause,[],[f1391,f1339,f590,f3485]) ).
fof(f3485,plain,
( spl33_340
<=> ! [X2,X0,X1] :
( xS != X0
| aElementOf0(X0,X1)
| ~ aElementOf0(sz00,X2)
| ~ sP2(xN,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_340])]) ).
fof(f1339,plain,
( spl33_140
<=> ! [X1,X0,X6,X2,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_140])]) ).
fof(f1391,plain,
( ! [X2,X0,X1] :
( xS != X0
| aElementOf0(X0,X1)
| ~ aElementOf0(sz00,X2)
| ~ sP2(xN,X2,X1) )
| ~ spl33_19
| ~ spl33_140 ),
inference(superposition,[],[f1340,f592]) ).
fof(f1340,plain,
( ! [X2,X0,X1,X6,X7] :
( sdtlpdtrp0(X0,X7) != X6
| aElementOf0(X6,X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) )
| ~ spl33_140 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f3474,plain,
( ~ spl33_14
| spl33_339
| ~ spl33_17
| ~ spl33_133 ),
inference(avatar_split_clause,[],[f1311,f1254,f580,f3472,f565]) ).
fof(f3472,plain,
( spl33_339
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_339])]) ).
fof(f1254,plain,
( spl33_133
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_133])]) ).
fof(f1311,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_17
| ~ spl33_133 ),
inference(superposition,[],[f1255,f582]) ).
fof(f1255,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_133 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f3462,plain,
( ~ spl33_14
| spl33_338
| ~ spl33_17
| ~ spl33_133 ),
inference(avatar_split_clause,[],[f1310,f1254,f580,f3460,f565]) ).
fof(f3460,plain,
( spl33_338
<=> ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_338])]) ).
fof(f1310,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_17
| ~ spl33_133 ),
inference(superposition,[],[f1255,f582]) ).
fof(f3448,plain,
( spl33_337
| ~ spl33_190
| ~ spl33_294 ),
inference(avatar_split_clause,[],[f3026,f2935,f1975,f3446]) ).
fof(f3446,plain,
( spl33_337
<=> ! [X8] : sP9(X8,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_337])]) ).
fof(f1975,plain,
( spl33_190
<=> ! [X0] : ~ aElementOf0(X0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_190])]) ).
fof(f2935,plain,
( spl33_294
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sP9(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_294])]) ).
fof(f3026,plain,
( ! [X8] : sP9(X8,slcrc0,slcrc0)
| ~ spl33_190
| ~ spl33_294 ),
inference(resolution,[],[f2936,f1976]) ).
fof(f1976,plain,
( ! [X0] : ~ aElementOf0(X0,slcrc0)
| ~ spl33_190 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f2936,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sP9(X0,X1,X1) )
| ~ spl33_294 ),
inference(avatar_component_clause,[],[f2935]) ).
fof(f3444,plain,
( ~ spl33_14
| spl33_336
| ~ spl33_17
| ~ spl33_132 ),
inference(avatar_split_clause,[],[f1305,f1250,f580,f3442,f565]) ).
fof(f3442,plain,
( spl33_336
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_336])]) ).
fof(f1250,plain,
( spl33_132
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_132])]) ).
fof(f1305,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_17
| ~ spl33_132 ),
inference(superposition,[],[f1251,f582]) ).
fof(f1251,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_132 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f3434,plain,
( ~ spl33_14
| spl33_335
| ~ spl33_17
| ~ spl33_132 ),
inference(avatar_split_clause,[],[f1304,f1250,f580,f3432,f565]) ).
fof(f3432,plain,
( spl33_335
<=> ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_335])]) ).
fof(f1304,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_17
| ~ spl33_132 ),
inference(superposition,[],[f1251,f582]) ).
fof(f3425,plain,
( ~ spl33_14
| spl33_334
| ~ spl33_17
| ~ spl33_131 ),
inference(avatar_split_clause,[],[f1299,f1246,f580,f3423,f565]) ).
fof(f3423,plain,
( spl33_334
<=> ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_334])]) ).
fof(f1246,plain,
( spl33_131
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_131])]) ).
fof(f1299,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_17
| ~ spl33_131 ),
inference(superposition,[],[f1247,f582]) ).
fof(f1247,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_131 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f3420,plain,
( ~ spl33_201
| ~ spl33_6
| ~ spl33_12
| spl33_10
| spl33_333
| ~ spl33_26
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1281,f1234,f625,f3417,f545,f555,f525,f2090]) ).
fof(f2090,plain,
( spl33_201
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_201])]) ).
fof(f555,plain,
( spl33_12
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f545,plain,
( spl33_10
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f3417,plain,
( spl33_333
<=> isCountable0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_333])]) ).
fof(f625,plain,
( spl33_26
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f1234,plain,
( spl33_128
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_128])]) ).
fof(f1281,plain,
( isCountable0(szDzozmdt0(xc))
| sz00 = xK
| ~ aElementOf0(xK,szNzAzT0)
| ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ spl33_26
| ~ spl33_128 ),
inference(superposition,[],[f1235,f627]) ).
fof(f627,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f1235,plain,
( ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) )
| ~ spl33_128 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f3415,plain,
( ~ spl33_331
| spl33_332
| ~ spl33_40
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1038,f1034,f703,f3412,f3408]) ).
fof(f3408,plain,
( spl33_331
<=> aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_331])]) ).
fof(f3412,plain,
( spl33_332
<=> aElement0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_332])]) ).
fof(f703,plain,
( spl33_40
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_40])]) ).
fof(f1034,plain,
( spl33_93
<=> aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_93])]) ).
fof(f1038,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl33_40
| ~ spl33_93 ),
inference(resolution,[],[f1036,f704]) ).
fof(f704,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_40 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f1036,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl33_93 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f3375,plain,
( ~ spl33_8
| spl33_330
| ~ spl33_51
| ~ spl33_85 ),
inference(avatar_split_clause,[],[f1011,f982,f768,f3373,f535]) ).
fof(f3373,plain,
( spl33_330
<=> ! [X4,X5] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X5))
| ~ aElementOf0(X5,szNzAzT0)
| aElementOf0(X4,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_330])]) ).
fof(f768,plain,
( spl33_51
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_51])]) ).
fof(f982,plain,
( spl33_85
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_85])]) ).
fof(f1011,plain,
( ! [X4,X5] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X5))
| aElementOf0(X4,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
| ~ spl33_51
| ~ spl33_85 ),
inference(resolution,[],[f983,f769]) ).
fof(f769,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f983,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl33_85 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f3341,plain,
( spl33_329
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1434,f1351,f3339]) ).
fof(f3339,plain,
( spl33_329
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_329])]) ).
fof(f1351,plain,
( spl33_143
<=> ! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_143])]) ).
fof(f1434,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_143 ),
inference(equality_resolution,[],[f1352]) ).
fof(f1352,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) != X1
| aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_143 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f3337,plain,
( spl33_328
| ~ spl33_140 ),
inference(avatar_split_clause,[],[f1392,f1339,f3335]) ).
fof(f3335,plain,
( spl33_328
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),X2)
| ~ aElementOf0(X1,X3)
| ~ sP2(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_328])]) ).
fof(f1392,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),X2)
| ~ aElementOf0(X1,X3)
| ~ sP2(X0,X3,X2) )
| ~ spl33_140 ),
inference(equality_resolution,[],[f1340]) ).
fof(f3331,plain,
( ~ spl33_8
| spl33_327
| ~ spl33_33
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1131,f1069,f656,f3329,f535]) ).
fof(f3329,plain,
( spl33_327
<=> ! [X3] :
( aSubsetOf0(szNzAzT0,X3)
| sdtlseqdt0(sz00,sK20(X3,szNzAzT0))
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_327])]) ).
fof(f656,plain,
( spl33_33
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f1131,plain,
( ! [X3] :
( aSubsetOf0(szNzAzT0,X3)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X3)
| sdtlseqdt0(sz00,sK20(X3,szNzAzT0)) )
| ~ spl33_33
| ~ spl33_101 ),
inference(resolution,[],[f1070,f657]) ).
fof(f657,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f3326,plain,
( ~ spl33_8
| spl33_326
| ~ spl33_31
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1129,f1069,f648,f3324,f535]) ).
fof(f3324,plain,
( spl33_326
<=> ! [X1] :
( aSubsetOf0(szNzAzT0,X1)
| isFinite0(slbdtrb0(sK20(X1,szNzAzT0)))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_326])]) ).
fof(f648,plain,
( spl33_31
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f1129,plain,
( ! [X1] :
( aSubsetOf0(szNzAzT0,X1)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK20(X1,szNzAzT0))) )
| ~ spl33_31
| ~ spl33_101 ),
inference(resolution,[],[f1070,f649]) ).
fof(f649,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl33_31 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f3322,plain,
( spl33_325
| ~ spl33_56
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f959,f928,f790,f3320]) ).
fof(f3320,plain,
( spl33_325
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(X1,sK21(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_325])]) ).
fof(f790,plain,
( spl33_56
<=> ! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_56])]) ).
fof(f959,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(X1,sK21(X0))
| ~ aSet0(X1) )
| ~ spl33_56
| ~ spl33_77 ),
inference(resolution,[],[f929,f791]) ).
fof(f791,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP11(X0,X1)
| ~ aSet0(X0) )
| ~ spl33_56 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f3303,plain,
( spl33_324
| ~ spl33_8
| spl33_248
| ~ spl33_55
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f900,f863,f786,f2528,f535,f3300]) ).
fof(f3300,plain,
( spl33_324
<=> sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_324])]) ).
fof(f2528,plain,
( spl33_248
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_248])]) ).
fof(f900,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_55
| ~ spl33_68 ),
inference(resolution,[],[f864,f787]) ).
fof(f3298,plain,
( spl33_323
| ~ spl33_55
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f893,f859,f786,f3296]) ).
fof(f3296,plain,
( spl33_323
<=> ! [X2] :
( ~ isFinite0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| sK24(X2) = sbrdtbr0(slbdtrb0(sK24(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_323])]) ).
fof(f859,plain,
( spl33_67
<=> ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f893,plain,
( ! [X2] :
( ~ isFinite0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| sK24(X2) = sbrdtbr0(slbdtrb0(sK24(X2))) )
| ~ spl33_55
| ~ spl33_67 ),
inference(resolution,[],[f860,f787]) ).
fof(f860,plain,
( ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_67 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f3289,plain,
( spl33_322
| ~ spl33_51
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1582,f1577,f768,f3287]) ).
fof(f3287,plain,
( spl33_322
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_322])]) ).
fof(f1582,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_160 ),
inference(duplicate_literal_removal,[],[f1580]) ).
fof(f1580,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_51
| ~ spl33_160 ),
inference(resolution,[],[f1578,f769]) ).
fof(f3280,plain,
( ~ spl33_201
| ~ spl33_8
| spl33_321
| ~ spl33_13
| ~ spl33_151 ),
inference(avatar_split_clause,[],[f1476,f1383,f560,f3278,f535,f2090]) ).
fof(f3278,plain,
( spl33_321
<=> ! [X13] :
( aSubsetOf0(X13,szNzAzT0)
| ~ aSet0(X13)
| ~ aSubsetOf0(X13,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_321])]) ).
fof(f1383,plain,
( spl33_151
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_151])]) ).
fof(f1476,plain,
( ! [X13] :
( aSubsetOf0(X13,szNzAzT0)
| ~ aSubsetOf0(X13,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(X13) )
| ~ spl33_13
| ~ spl33_151 ),
inference(resolution,[],[f1384,f562]) ).
fof(f562,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1384,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_151 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f3272,plain,
( ~ spl33_3
| spl33_320
| ~ spl33_16
| ~ spl33_126 ),
inference(avatar_split_clause,[],[f1277,f1225,f575,f3270,f510]) ).
fof(f510,plain,
( spl33_3
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f3270,plain,
( spl33_320
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_320])]) ).
fof(f1225,plain,
( spl33_126
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_126])]) ).
fof(f1277,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl33_16
| ~ spl33_126 ),
inference(superposition,[],[f1226,f577]) ).
fof(f1226,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_126 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f3235,plain,
( ~ spl33_14
| spl33_319
| ~ spl33_17
| ~ spl33_122 ),
inference(avatar_split_clause,[],[f1217,f1190,f580,f3233,f565]) ).
fof(f3233,plain,
( spl33_319
<=> ! [X0] :
( sdtlseqdt0(xK,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_319])]) ).
fof(f1190,plain,
( spl33_122
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_122])]) ).
fof(f1217,plain,
( ! [X0] :
( sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_17
| ~ spl33_122 ),
inference(superposition,[],[f1191,f582]) ).
fof(f1191,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_122 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f3230,plain,
( ~ spl33_14
| spl33_318
| ~ spl33_17
| ~ spl33_116 ),
inference(avatar_split_clause,[],[f1204,f1166,f580,f3228,f565]) ).
fof(f3228,plain,
( spl33_318
<=> ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| ~ sP4(X0,X1)
| aElementOf0(xk,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_318])]) ).
fof(f1166,plain,
( spl33_116
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_116])]) ).
fof(f1204,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ aElementOf0(xk,szNzAzT0)
| ~ sP4(X0,X1) )
| ~ spl33_17
| ~ spl33_116 ),
inference(superposition,[],[f1167,f582]) ).
fof(f1167,plain,
( ! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) )
| ~ spl33_116 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f3220,plain,
( spl33_317
| ~ spl33_244 ),
inference(avatar_split_clause,[],[f2513,f2510,f3217]) ).
fof(f3217,plain,
( spl33_317
<=> sP4(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_317])]) ).
fof(f2510,plain,
( spl33_244
<=> ! [X0] :
( slcrc0 != X0
| sP4(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_244])]) ).
fof(f2513,plain,
( sP4(sz00,slcrc0)
| ~ spl33_244 ),
inference(equality_resolution,[],[f2511]) ).
fof(f2511,plain,
( ! [X0] :
( slcrc0 != X0
| sP4(sz00,X0) )
| ~ spl33_244 ),
inference(avatar_component_clause,[],[f2510]) ).
fof(f3192,plain,
( spl33_316
| ~ spl33_40
| ~ spl33_147 ),
inference(avatar_split_clause,[],[f1458,f1367,f703,f3190]) ).
fof(f3190,plain,
( spl33_316
<=> ! [X22,X21,X23] :
( aElement0(sK29(X21,X22,X23))
| sP9(X21,X22,X23)
| ~ aSet0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_316])]) ).
fof(f1367,plain,
( spl33_147
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_147])]) ).
fof(f1458,plain,
( ! [X21,X22,X23] :
( aElement0(sK29(X21,X22,X23))
| sP9(X21,X22,X23)
| ~ aSet0(X23) )
| ~ spl33_40
| ~ spl33_147 ),
inference(duplicate_literal_removal,[],[f1456]) ).
fof(f1456,plain,
( ! [X21,X22,X23] :
( aElement0(sK29(X21,X22,X23))
| sP9(X21,X22,X23)
| aElement0(sK29(X21,X22,X23))
| ~ aSet0(X23) )
| ~ spl33_40
| ~ spl33_147 ),
inference(resolution,[],[f1368,f704]) ).
fof(f1368,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2) )
| ~ spl33_147 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f3188,plain,
( spl33_315
| ~ spl33_40
| ~ spl33_144 ),
inference(avatar_split_clause,[],[f1446,f1355,f703,f3186]) ).
fof(f3186,plain,
( spl33_315
<=> ! [X22,X21,X23] :
( aElement0(sK28(X21,X22,X23))
| sP8(X21,X22,X23)
| ~ aSet0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_315])]) ).
fof(f1355,plain,
( spl33_144
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_144])]) ).
fof(f1446,plain,
( ! [X21,X22,X23] :
( aElement0(sK28(X21,X22,X23))
| sP8(X21,X22,X23)
| ~ aSet0(X23) )
| ~ spl33_40
| ~ spl33_144 ),
inference(duplicate_literal_removal,[],[f1444]) ).
fof(f1444,plain,
( ! [X21,X22,X23] :
( aElement0(sK28(X21,X22,X23))
| sP8(X21,X22,X23)
| aElement0(sK28(X21,X22,X23))
| ~ aSet0(X23) )
| ~ spl33_40
| ~ spl33_144 ),
inference(resolution,[],[f1356,f704]) ).
fof(f1356,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2) )
| ~ spl33_144 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f3184,plain,
( spl33_314
| ~ spl33_129 ),
inference(avatar_split_clause,[],[f1283,f1238,f3182]) ).
fof(f3182,plain,
( spl33_314
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aSubsetOf0(X0,X2)
| ~ sP10(sbrdtbr0(X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_314])]) ).
fof(f1238,plain,
( spl33_129
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_129])]) ).
fof(f1283,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aSubsetOf0(X0,X2)
| ~ sP10(sbrdtbr0(X0),X2,X1) )
| ~ spl33_129 ),
inference(equality_resolution,[],[f1239]) ).
fof(f1239,plain,
( ! [X2,X0,X1,X4] :
( sbrdtbr0(X4) != X0
| aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(X0,X1,X2) )
| ~ spl33_129 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f3180,plain,
( spl33_313
| ~ spl33_40
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1138,f1069,f703,f3178]) ).
fof(f3178,plain,
( spl33_313
<=> ! [X11,X10] :
( aSubsetOf0(X10,X11)
| ~ aSet0(X10)
| ~ aSet0(X11)
| aElement0(sK20(X11,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_313])]) ).
fof(f1138,plain,
( ! [X10,X11] :
( aSubsetOf0(X10,X11)
| ~ aSet0(X10)
| ~ aSet0(X11)
| aElement0(sK20(X11,X10)) )
| ~ spl33_40
| ~ spl33_101 ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1136,plain,
( ! [X10,X11] :
( aSubsetOf0(X10,X11)
| ~ aSet0(X10)
| ~ aSet0(X11)
| aElement0(sK20(X11,X10))
| ~ aSet0(X10) )
| ~ spl33_40
| ~ spl33_101 ),
inference(resolution,[],[f1070,f704]) ).
fof(f3176,plain,
( spl33_312
| ~ spl33_15
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f2442,f2439,f570,f3173]) ).
fof(f3173,plain,
( spl33_312
<=> aElement0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_312])]) ).
fof(f2439,plain,
( spl33_240
<=> ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| aElement0(szszuzczcdt0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_240])]) ).
fof(f2442,plain,
( aElement0(szszuzczcdt0(sz00))
| ~ spl33_15
| ~ spl33_240 ),
inference(resolution,[],[f2440,f572]) ).
fof(f572,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl33_15 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2440,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| aElement0(szszuzczcdt0(X4)) )
| ~ spl33_240 ),
inference(avatar_component_clause,[],[f2439]) ).
fof(f3171,plain,
( ~ spl33_8
| spl33_311
| ~ spl33_24
| ~ spl33_101 ),
inference(avatar_split_clause,[],[f1128,f1069,f611,f3169,f535]) ).
fof(f3169,plain,
( spl33_311
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sP5(sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_311])]) ).
fof(f1128,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP5(sK20(X0,szNzAzT0)) )
| ~ spl33_24
| ~ spl33_101 ),
inference(resolution,[],[f1070,f612]) ).
fof(f3167,plain,
( spl33_310
| ~ spl33_41
| ~ spl33_80 ),
inference(avatar_split_clause,[],[f971,f940,f707,f3165]) ).
fof(f3165,plain,
( spl33_310
<=> ! [X6,X7] :
( ~ aElement0(X6)
| ~ aFunction0(X7)
| aSet0(sdtlbdtrb0(X7,X6))
| ~ aSet0(szDzozmdt0(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_310])]) ).
fof(f707,plain,
( spl33_41
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_41])]) ).
fof(f971,plain,
( ! [X6,X7] :
( ~ aElement0(X6)
| ~ aFunction0(X7)
| aSet0(sdtlbdtrb0(X7,X6))
| ~ aSet0(szDzozmdt0(X7)) )
| ~ spl33_41
| ~ spl33_80 ),
inference(resolution,[],[f941,f708]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_41 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f3163,plain,
( spl33_309
| ~ spl33_41
| ~ spl33_79 ),
inference(avatar_split_clause,[],[f967,f936,f707,f3161]) ).
fof(f3161,plain,
( spl33_309
<=> ! [X1] :
( ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aSet0(X1)
| ~ aSet0(slbdtrb0(sK24(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_309])]) ).
fof(f936,plain,
( spl33_79
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_79])]) ).
fof(f967,plain,
( ! [X1] :
( ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aSet0(X1)
| ~ aSet0(slbdtrb0(sK24(X1))) )
| ~ spl33_41
| ~ spl33_79 ),
inference(resolution,[],[f937,f708]) ).
fof(f937,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_79 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f3126,plain,
( ~ spl33_8
| spl33_308
| ~ spl33_40
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f965,f928,f703,f3124,f535]) ).
fof(f3124,plain,
( spl33_308
<=> ! [X7] :
( sz00 = X7
| aElement0(sK21(X7))
| ~ aElementOf0(X7,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_308])]) ).
fof(f965,plain,
( ! [X7] :
( sz00 = X7
| ~ aElementOf0(X7,szNzAzT0)
| aElement0(sK21(X7))
| ~ aSet0(szNzAzT0) )
| ~ spl33_40
| ~ spl33_77 ),
inference(resolution,[],[f929,f704]) ).
fof(f3122,plain,
( spl33_307
| ~ spl33_32
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f962,f928,f652,f3120]) ).
fof(f3120,plain,
( spl33_307
<=> ! [X4] :
( sz00 = X4
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(sK21(X4),sK21(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_307])]) ).
fof(f962,plain,
( ! [X4] :
( sz00 = X4
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(sK21(X4),sK21(X4)) )
| ~ spl33_32
| ~ spl33_77 ),
inference(resolution,[],[f929,f653]) ).
fof(f3118,plain,
( spl33_306
| ~ spl33_8
| spl33_248
| ~ spl33_56
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f899,f863,f790,f2528,f535,f3116]) ).
fof(f3116,plain,
( spl33_306
<=> ! [X0] :
( sP11(X0,sK26(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_306])]) ).
fof(f899,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP11(X0,sK26(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl33_56
| ~ spl33_68 ),
inference(resolution,[],[f864,f791]) ).
fof(f3113,plain,
( ~ spl33_201
| ~ spl33_213
| spl33_300 ),
inference(avatar_split_clause,[],[f3094,f3087,f2158,f2090]) ).
fof(f2158,plain,
( spl33_213
<=> ! [X5] :
( sP11(X5,xK)
| ~ aSet0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_213])]) ).
fof(f3087,plain,
( spl33_300
<=> sP11(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_300])]) ).
fof(f3094,plain,
( ~ aSet0(xS)
| ~ spl33_213
| spl33_300 ),
inference(resolution,[],[f3089,f2159]) ).
fof(f2159,plain,
( ! [X5] :
( sP11(X5,xK)
| ~ aSet0(X5) )
| ~ spl33_213 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f3089,plain,
( ~ sP11(xS,xK)
| spl33_300 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f3112,plain,
( spl33_305
| ~ spl33_56
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f892,f859,f790,f3110]) ).
fof(f3110,plain,
( spl33_305
<=> ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X1,sK24(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_305])]) ).
fof(f892,plain,
( ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X1,sK24(X0))
| ~ aSet0(X1) )
| ~ spl33_56
| ~ spl33_67 ),
inference(resolution,[],[f860,f791]) ).
fof(f3108,plain,
( spl33_304
| ~ spl33_54
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f802,f786,f782,f3106]) ).
fof(f3106,plain,
( spl33_304
<=> ! [X1] :
( sbrdtbr0(X1) = sbrdtbr0(slbdtrb0(sbrdtbr0(X1)))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_304])]) ).
fof(f782,plain,
( spl33_54
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_54])]) ).
fof(f802,plain,
( ! [X1] :
( sbrdtbr0(X1) = sbrdtbr0(slbdtrb0(sbrdtbr0(X1)))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_54
| ~ spl33_55 ),
inference(resolution,[],[f787,f783]) ).
fof(f783,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_54 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f3103,plain,
( ~ spl33_3
| ~ spl33_9
| spl33_302
| ~ spl33_303
| ~ spl33_16
| ~ spl33_113 ),
inference(avatar_split_clause,[],[f1197,f1153,f575,f3100,f3096,f540,f510]) ).
fof(f540,plain,
( spl33_9
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f3096,plain,
( spl33_302
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_302])]) ).
fof(f3100,plain,
( spl33_303
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_303])]) ).
fof(f1153,plain,
( spl33_113
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_113])]) ).
fof(f1197,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xN)
| ~ spl33_16
| ~ spl33_113 ),
inference(superposition,[],[f1154,f577]) ).
fof(f1154,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_113 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f3093,plain,
( ~ spl33_300
| spl33_301
| ~ spl33_26
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f1150,f1106,f625,f3091,f3087]) ).
fof(f3091,plain,
( spl33_301
<=> ! [X0] :
( szDzozmdt0(xc) != X0
| sP10(xK,xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_301])]) ).
fof(f1106,plain,
( spl33_110
<=> ! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_110])]) ).
fof(f1150,plain,
( ! [X0] :
( szDzozmdt0(xc) != X0
| sP10(xK,xS,X0)
| ~ sP11(xS,xK) )
| ~ spl33_26
| ~ spl33_110 ),
inference(superposition,[],[f1107,f627]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) != X2
| sP10(X1,X0,X2)
| ~ sP11(X0,X1) )
| ~ spl33_110 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f3085,plain,
( ~ spl33_201
| spl33_202
| ~ spl33_12
| ~ spl33_299
| ~ spl33_26
| ~ spl33_103 ),
inference(avatar_split_clause,[],[f1147,f1077,f625,f3082,f555,f2094,f2090]) ).
fof(f2094,plain,
( spl33_202
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_202])]) ).
fof(f3082,plain,
( spl33_299
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_299])]) ).
fof(f1077,plain,
( spl33_103
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_103])]) ).
fof(f1147,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS)
| ~ spl33_26
| ~ spl33_103 ),
inference(superposition,[],[f1078,f627]) ).
fof(f1078,plain,
( ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_103 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f3080,plain,
( spl33_298
| ~ spl33_15
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2227,f2220,f570,f3077]) ).
fof(f3077,plain,
( spl33_298
<=> sP5(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_298])]) ).
fof(f2220,plain,
( spl33_221
<=> ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sP5(szszuzczcdt0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_221])]) ).
fof(f2227,plain,
( sP5(szszuzczcdt0(sz00))
| ~ spl33_15
| ~ spl33_221 ),
inference(resolution,[],[f2221,f572]) ).
fof(f2221,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sP5(szszuzczcdt0(X3)) )
| ~ spl33_221 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f3051,plain,
( ~ spl33_4
| spl33_297
| ~ spl33_27
| ~ spl33_85 ),
inference(avatar_split_clause,[],[f1013,f982,f630,f3049,f515]) ).
fof(f515,plain,
( spl33_4
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f3049,plain,
( spl33_297
<=> ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_297])]) ).
fof(f630,plain,
( spl33_27
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f1013,plain,
( ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT)
| ~ aSet0(xT) )
| ~ spl33_27
| ~ spl33_85 ),
inference(resolution,[],[f983,f632]) ).
fof(f632,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl33_27 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f3047,plain,
( spl33_296
| ~ spl33_34
| ~ spl33_39 ),
inference(avatar_split_clause,[],[f700,f697,f660,f3045]) ).
fof(f3045,plain,
( spl33_296
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_296])]) ).
fof(f697,plain,
( spl33_39
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_39])]) ).
fof(f700,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl33_34
| ~ spl33_39 ),
inference(resolution,[],[f698,f661]) ).
fof(f698,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_39 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f2941,plain,
( spl33_295
| ~ spl33_187 ),
inference(avatar_split_clause,[],[f1973,f1962,f2939]) ).
fof(f2939,plain,
( spl33_295
<=> ! [X0,X1] :
( sP0(X0,X0,X1)
| szDzozmdt0(X0) != X1
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_295])]) ).
fof(f1962,plain,
( spl33_187
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_187])]) ).
fof(f1973,plain,
( ! [X0,X1] :
( sP0(X0,X0,X1)
| szDzozmdt0(X0) != X1
| ~ aFunction0(X0) )
| ~ spl33_187 ),
inference(equality_resolution,[],[f1963]) ).
fof(f1963,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
| sP0(X0,X1,X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
| ~ spl33_187 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f2937,plain,
( spl33_294
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1563,f1508,f2935]) ).
fof(f1508,plain,
( spl33_158
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElementOf0(sK29(X0,X1,X2),X1)
| aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_158])]) ).
fof(f1563,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sP9(X0,X1,X1) )
| ~ spl33_158 ),
inference(factoring,[],[f1509]) ).
fof(f1509,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| aElementOf0(sK29(X0,X1,X2),X1)
| sP9(X0,X1,X2) )
| ~ spl33_158 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f2920,plain,
( ~ spl33_8
| spl33_293
| ~ spl33_142 ),
inference(avatar_split_clause,[],[f1430,f1347,f2918,f535]) ).
fof(f2918,plain,
( spl33_293
<=> ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_293])]) ).
fof(f1347,plain,
( spl33_142
<=> ! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_142])]) ).
fof(f1430,plain,
( ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_142 ),
inference(factoring,[],[f1348]) ).
fof(f1348,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ spl33_142 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f2916,plain,
( spl33_292
| ~ spl33_121 ),
inference(avatar_split_clause,[],[f1214,f1186,f2914]) ).
fof(f2914,plain,
( spl33_292
<=> ! [X0,X1] :
( sP9(X0,X1,sdtmndt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_292])]) ).
fof(f1186,plain,
( spl33_121
<=> ! [X2,X0,X1] :
( sP9(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_121])]) ).
fof(f1214,plain,
( ! [X0,X1] :
( sP9(X0,X1,sdtmndt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1) )
| ~ spl33_121 ),
inference(equality_resolution,[],[f1187]) ).
fof(f1187,plain,
( ! [X2,X0,X1] :
( sdtmndt0(X0,X1) != X2
| sP9(X1,X0,X2)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_121 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f2912,plain,
( spl33_291
| ~ spl33_120 ),
inference(avatar_split_clause,[],[f1213,f1182,f2910]) ).
fof(f2910,plain,
( spl33_291
<=> ! [X0,X1] :
( sP8(X0,X1,sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_291])]) ).
fof(f1182,plain,
( spl33_120
<=> ! [X2,X0,X1] :
( sP8(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_120])]) ).
fof(f1213,plain,
( ! [X0,X1] :
( sP8(X0,X1,sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aSet0(X1) )
| ~ spl33_120 ),
inference(equality_resolution,[],[f1183]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,X1) != X2
| sP8(X1,X0,X2)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_120 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f2908,plain,
( spl33_290
| ~ spl33_117 ),
inference(avatar_split_clause,[],[f1205,f1170,f2906]) ).
fof(f2906,plain,
( spl33_290
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_290])]) ).
fof(f1170,plain,
( spl33_117
<=> ! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_117])]) ).
fof(f1205,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_117 ),
inference(equality_resolution,[],[f1171]) ).
fof(f1171,plain,
( ! [X0,X1] :
( szmzizndt0(X0) != X1
| aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_117 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f2904,plain,
( spl33_289
| ~ spl33_31
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f963,f928,f648,f2902]) ).
fof(f2902,plain,
( spl33_289
<=> ! [X5] :
( sz00 = X5
| ~ aElementOf0(X5,szNzAzT0)
| isFinite0(slbdtrb0(sK21(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_289])]) ).
fof(f963,plain,
( ! [X5] :
( sz00 = X5
| ~ aElementOf0(X5,szNzAzT0)
| isFinite0(slbdtrb0(sK21(X5))) )
| ~ spl33_31
| ~ spl33_77 ),
inference(resolution,[],[f929,f649]) ).
fof(f2900,plain,
( spl33_288
| ~ spl33_33
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f961,f928,f656,f2898]) ).
fof(f2898,plain,
( spl33_288
<=> ! [X3] :
( sz00 = X3
| ~ aElementOf0(X3,szNzAzT0)
| sdtlseqdt0(sz00,sK21(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_288])]) ).
fof(f961,plain,
( ! [X3] :
( sz00 = X3
| ~ aElementOf0(X3,szNzAzT0)
| sdtlseqdt0(sz00,sK21(X3)) )
| ~ spl33_33
| ~ spl33_77 ),
inference(resolution,[],[f929,f657]) ).
fof(f2892,plain,
( spl33_287
| ~ spl33_8
| spl33_248
| ~ spl33_32
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f902,f863,f652,f2528,f535,f2889]) ).
fof(f2889,plain,
( spl33_287
<=> sdtlseqdt0(sK26(szNzAzT0),sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_287])]) ).
fof(f902,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK26(szNzAzT0),sK26(szNzAzT0))
| ~ spl33_32
| ~ spl33_68 ),
inference(resolution,[],[f864,f653]) ).
fof(f2880,plain,
( ~ spl33_8
| spl33_286
| ~ spl33_40
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f898,f859,f703,f2878,f535]) ).
fof(f2878,plain,
( spl33_286
<=> ! [X7] :
( ~ isFinite0(X7)
| aElement0(sK24(X7))
| ~ aSubsetOf0(X7,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_286])]) ).
fof(f898,plain,
( ! [X7] :
( ~ isFinite0(X7)
| ~ aSubsetOf0(X7,szNzAzT0)
| aElement0(sK24(X7))
| ~ aSet0(szNzAzT0) )
| ~ spl33_40
| ~ spl33_67 ),
inference(resolution,[],[f860,f704]) ).
fof(f2876,plain,
( spl33_285
| ~ spl33_32
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f895,f859,f652,f2874]) ).
fof(f2874,plain,
( spl33_285
<=> ! [X4] :
( ~ isFinite0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| sdtlseqdt0(sK24(X4),sK24(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_285])]) ).
fof(f895,plain,
( ! [X4] :
( ~ isFinite0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| sdtlseqdt0(sK24(X4),sK24(X4)) )
| ~ spl33_32
| ~ spl33_67 ),
inference(resolution,[],[f860,f653]) ).
fof(f2872,plain,
( spl33_284
| ~ spl33_54
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f809,f790,f782,f2870]) ).
fof(f2870,plain,
( spl33_284
<=> ! [X4,X3] :
( sP11(X3,sbrdtbr0(X4))
| ~ aSet0(X3)
| ~ isFinite0(X4)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_284])]) ).
fof(f809,plain,
( ! [X3,X4] :
( sP11(X3,sbrdtbr0(X4))
| ~ aSet0(X3)
| ~ isFinite0(X4)
| ~ aSet0(X4) )
| ~ spl33_54
| ~ spl33_56 ),
inference(resolution,[],[f791,f783]) ).
fof(f2868,plain,
( spl33_283
| ~ spl33_47
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f801,f786,f732,f2866]) ).
fof(f2866,plain,
( spl33_283
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_283])]) ).
fof(f801,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_47
| ~ spl33_55 ),
inference(resolution,[],[f787,f733]) ).
fof(f2861,plain,
( ~ spl33_3
| spl33_282
| ~ spl33_15
| ~ spl33_16
| ~ spl33_19
| ~ spl33_126 ),
inference(avatar_split_clause,[],[f1279,f1225,f590,f575,f570,f2858,f510]) ).
fof(f2858,plain,
( spl33_282
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_282])]) ).
fof(f1279,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aFunction0(xN)
| ~ spl33_16
| ~ spl33_19
| ~ spl33_126 ),
inference(forward_demodulation,[],[f1278,f577]) ).
fof(f1278,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl33_16
| ~ spl33_19
| ~ spl33_126 ),
inference(forward_demodulation,[],[f1276,f577]) ).
fof(f1276,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szDzozmdt0(xN)))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl33_19
| ~ spl33_126 ),
inference(superposition,[],[f1226,f592]) ).
fof(f2856,plain,
( ~ spl33_8
| ~ spl33_201
| ~ spl33_280
| spl33_281
| ~ spl33_13
| ~ spl33_118 ),
inference(avatar_split_clause,[],[f1211,f1174,f560,f2853,f2849,f2090,f535]) ).
fof(f2849,plain,
( spl33_280
<=> aSubsetOf0(szNzAzT0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_280])]) ).
fof(f2853,plain,
( spl33_281
<=> szNzAzT0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl33_281])]) ).
fof(f1174,plain,
( spl33_118
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_118])]) ).
fof(f1211,plain,
( szNzAzT0 = xS
| ~ aSubsetOf0(szNzAzT0,xS)
| ~ aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl33_13
| ~ spl33_118 ),
inference(resolution,[],[f1175,f562]) ).
fof(f1175,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_118 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f2777,plain,
( spl33_279
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f1151,f1106,f2775]) ).
fof(f2775,plain,
( spl33_279
<=> ! [X0,X1] :
( sP10(X0,X1,slbdtsldtrb0(X1,X0))
| ~ sP11(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_279])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( sP10(X0,X1,slbdtsldtrb0(X1,X0))
| ~ sP11(X1,X0) )
| ~ spl33_110 ),
inference(equality_resolution,[],[f1107]) ).
fof(f2773,plain,
( spl33_278
| ~ spl33_108 ),
inference(avatar_split_clause,[],[f1149,f1097,f2771]) ).
fof(f2771,plain,
( spl33_278
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP8(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_278])]) ).
fof(f1097,plain,
( spl33_108
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_108])]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP8(X0,X2,X1) )
| ~ spl33_108 ),
inference(equality_resolution,[],[f1098]) ).
fof(f1098,plain,
( ! [X2,X0,X1,X4] :
( X0 != X4
| aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) )
| ~ spl33_108 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f2769,plain,
( spl33_277
| ~ spl33_11
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f2447,f2439,f550,f2766]) ).
fof(f2766,plain,
( spl33_277
<=> aElement0(szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_277])]) ).
fof(f2447,plain,
( aElement0(szszuzczcdt0(xi))
| ~ spl33_11
| ~ spl33_240 ),
inference(resolution,[],[f2440,f552]) ).
fof(f552,plain,
( aElementOf0(xi,szNzAzT0)
| ~ spl33_11 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f2764,plain,
( spl33_276
| ~ spl33_104 ),
inference(avatar_split_clause,[],[f1148,f1081,f2762]) ).
fof(f2762,plain,
( spl33_276
<=> ! [X0,X1] :
( sP6(X0,X1,sdtlbdtrb0(X1,X0))
| ~ sP7(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_276])]) ).
fof(f1081,plain,
( spl33_104
<=> ! [X2,X0,X1] :
( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_104])]) ).
fof(f1148,plain,
( ! [X0,X1] :
( sP6(X0,X1,sdtlbdtrb0(X1,X0))
| ~ sP7(X1,X0) )
| ~ spl33_104 ),
inference(equality_resolution,[],[f1082]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) != X2
| sP6(X1,X0,X2)
| ~ sP7(X0,X1) )
| ~ spl33_104 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f2755,plain,
( ~ spl33_8
| spl33_275
| ~ spl33_15
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1115,f1061,f570,f2752,f535]) ).
fof(f2752,plain,
( spl33_275
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_275])]) ).
fof(f1115,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl33_15
| ~ spl33_99 ),
inference(resolution,[],[f1062,f572]) ).
fof(f2750,plain,
( spl33_274
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1114,f1048,f2748]) ).
fof(f2748,plain,
( spl33_274
<=> ! [X0,X1] :
( sP2(X0,X1,sdtlcdtrc0(X0,X1))
| ~ sP3(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_274])]) ).
fof(f1048,plain,
( spl33_96
<=> ! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_96])]) ).
fof(f1114,plain,
( ! [X0,X1] :
( sP2(X0,X1,sdtlcdtrc0(X0,X1))
| ~ sP3(X1,X0) )
| ~ spl33_96 ),
inference(equality_resolution,[],[f1049]) ).
fof(f1049,plain,
( ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) != X2
| sP2(X1,X0,X2)
| ~ sP3(X0,X1) )
| ~ spl33_96 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f2746,plain,
( spl33_273
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1113,f1040,f2744]) ).
fof(f2744,plain,
( spl33_273
<=> ! [X0,X1] :
( sP0(sdtexdt0(X0,X1),X0,X1)
| ~ sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_273])]) ).
fof(f1040,plain,
( spl33_94
<=> ! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_94])]) ).
fof(f1113,plain,
( ! [X0,X1] :
( sP0(sdtexdt0(X0,X1),X0,X1)
| ~ sP1(X1,X0) )
| ~ spl33_94 ),
inference(equality_resolution,[],[f1041]) ).
fof(f1041,plain,
( ! [X2,X0,X1] :
( sdtexdt0(X1,X0) != X2
| sP0(X2,X1,X0)
| ~ sP1(X0,X1) )
| ~ spl33_94 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f2742,plain,
( spl33_272
| ~ spl33_59
| ~ spl33_80 ),
inference(avatar_split_clause,[],[f974,f940,f826,f2740]) ).
fof(f2740,plain,
( spl33_272
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_272])]) ).
fof(f826,plain,
( spl33_59
<=> ! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_59])]) ).
fof(f974,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1) )
| ~ spl33_59
| ~ spl33_80 ),
inference(duplicate_literal_removal,[],[f968]) ).
fof(f968,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_59
| ~ spl33_80 ),
inference(resolution,[],[f941,f827]) ).
fof(f827,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP3(X1,X0)
| ~ aFunction0(X0) )
| ~ spl33_59 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f2738,plain,
( spl33_271
| ~ spl33_8
| spl33_248
| ~ spl33_31
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f903,f863,f648,f2528,f535,f2735]) ).
fof(f2735,plain,
( spl33_271
<=> isFinite0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_271])]) ).
fof(f903,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_31
| ~ spl33_68 ),
inference(resolution,[],[f864,f649]) ).
fof(f2731,plain,
( spl33_208
| ~ spl33_9
| ~ spl33_248 ),
inference(avatar_split_clause,[],[f2690,f2528,f540,f2125]) ).
fof(f2125,plain,
( spl33_208
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_208])]) ).
fof(f2690,plain,
( isCountable0(slcrc0)
| ~ spl33_9
| ~ spl33_248 ),
inference(superposition,[],[f542,f2530]) ).
fof(f2530,plain,
( slcrc0 = szNzAzT0
| ~ spl33_248 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f542,plain,
( isCountable0(szNzAzT0)
| ~ spl33_9 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f2730,plain,
( spl33_270
| ~ spl33_58
| ~ spl33_80 ),
inference(avatar_split_clause,[],[f973,f940,f822,f2728]) ).
fof(f2728,plain,
( spl33_270
<=> ! [X2,X3] :
( ~ aElement0(X2)
| ~ aFunction0(X3)
| sP1(sdtlbdtrb0(X3,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_270])]) ).
fof(f822,plain,
( spl33_58
<=> ! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_58])]) ).
fof(f973,plain,
( ! [X2,X3] :
( ~ aElement0(X2)
| ~ aFunction0(X3)
| sP1(sdtlbdtrb0(X3,X2),X3) )
| ~ spl33_58
| ~ spl33_80 ),
inference(duplicate_literal_removal,[],[f969]) ).
fof(f969,plain,
( ! [X2,X3] :
( ~ aElement0(X2)
| ~ aFunction0(X3)
| sP1(sdtlbdtrb0(X3,X2),X3)
| ~ aFunction0(X3) )
| ~ spl33_58
| ~ spl33_80 ),
inference(resolution,[],[f941,f823]) ).
fof(f823,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP1(X1,X0)
| ~ aFunction0(X0) )
| ~ spl33_58 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f2725,plain,
( spl33_269
| ~ spl33_24
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f964,f928,f611,f2723]) ).
fof(f2723,plain,
( spl33_269
<=> ! [X6] :
( sz00 = X6
| ~ aElementOf0(X6,szNzAzT0)
| sP5(sK21(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_269])]) ).
fof(f964,plain,
( ! [X6] :
( sz00 = X6
| ~ aElementOf0(X6,szNzAzT0)
| sP5(sK21(X6)) )
| ~ spl33_24
| ~ spl33_77 ),
inference(resolution,[],[f929,f612]) ).
fof(f2688,plain,
( spl33_268
| ~ spl33_8
| spl33_248
| ~ spl33_33
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f901,f863,f656,f2528,f535,f2685]) ).
fof(f2685,plain,
( spl33_268
<=> sdtlseqdt0(sz00,sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_268])]) ).
fof(f901,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK26(szNzAzT0))
| ~ spl33_33
| ~ spl33_68 ),
inference(resolution,[],[f864,f657]) ).
fof(f2683,plain,
( spl33_267
| ~ spl33_31
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f896,f859,f648,f2681]) ).
fof(f2681,plain,
( spl33_267
<=> ! [X5] :
( ~ isFinite0(X5)
| ~ aSubsetOf0(X5,szNzAzT0)
| isFinite0(slbdtrb0(sK24(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_267])]) ).
fof(f896,plain,
( ! [X5] :
( ~ isFinite0(X5)
| ~ aSubsetOf0(X5,szNzAzT0)
| isFinite0(slbdtrb0(sK24(X5))) )
| ~ spl33_31
| ~ spl33_67 ),
inference(resolution,[],[f860,f649]) ).
fof(f2679,plain,
( spl33_266
| ~ spl33_33
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f894,f859,f656,f2677]) ).
fof(f2677,plain,
( spl33_266
<=> ! [X3] :
( ~ isFinite0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| sdtlseqdt0(sz00,sK24(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_266])]) ).
fof(f894,plain,
( ! [X3] :
( ~ isFinite0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| sdtlseqdt0(sz00,sK24(X3)) )
| ~ spl33_33
| ~ spl33_67 ),
inference(resolution,[],[f860,f657]) ).
fof(f2675,plain,
( spl33_265
| ~ spl33_22
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f876,f826,f603,f2673]) ).
fof(f2673,plain,
( spl33_265
<=> ! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_265])]) ).
fof(f876,plain,
( ! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_22
| ~ spl33_59 ),
inference(resolution,[],[f827,f604]) ).
fof(f2671,plain,
( spl33_264
| ~ spl33_22
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f874,f822,f603,f2669]) ).
fof(f2669,plain,
( spl33_264
<=> ! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_264])]) ).
fof(f874,plain,
( ! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_22
| ~ spl33_58 ),
inference(resolution,[],[f823,f604]) ).
fof(f2667,plain,
( spl33_263
| ~ spl33_47
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f808,f790,f732,f2665]) ).
fof(f2665,plain,
( spl33_263
<=> ! [X2,X1] :
( sP11(X1,szszuzczcdt0(X2))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_263])]) ).
fof(f808,plain,
( ! [X2,X1] :
( sP11(X1,szszuzczcdt0(X2))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl33_47
| ~ spl33_56 ),
inference(resolution,[],[f791,f733]) ).
fof(f2663,plain,
( spl33_262
| ~ spl33_12
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f2445,f2439,f555,f2660]) ).
fof(f2660,plain,
( spl33_262
<=> aElement0(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_262])]) ).
fof(f2445,plain,
( aElement0(szszuzczcdt0(xK))
| ~ spl33_12
| ~ spl33_240 ),
inference(resolution,[],[f2440,f557]) ).
fof(f557,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl33_12 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f2658,plain,
( spl33_261
| ~ spl33_32
| ~ spl33_54 ),
inference(avatar_split_clause,[],[f795,f782,f652,f2656]) ).
fof(f2656,plain,
( spl33_261
<=> ! [X2] :
( ~ isFinite0(X2)
| ~ aSet0(X2)
| sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_261])]) ).
fof(f795,plain,
( ! [X2] :
( ~ isFinite0(X2)
| ~ aSet0(X2)
| sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X2)) )
| ~ spl33_32
| ~ spl33_54 ),
inference(resolution,[],[f783,f653]) ).
fof(f2649,plain,
( ~ spl33_8
| spl33_260
| ~ spl33_11
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1120,f1061,f550,f2646,f535]) ).
fof(f2646,plain,
( spl33_260
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_260])]) ).
fof(f1120,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi)
| ~ aSet0(szNzAzT0)
| ~ spl33_11
| ~ spl33_99 ),
inference(resolution,[],[f1062,f552]) ).
fof(f2639,plain,
( ~ spl33_8
| spl33_259
| ~ spl33_14
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1119,f1061,f565,f2636,f535]) ).
fof(f2636,plain,
( spl33_259
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_259])]) ).
fof(f1119,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl33_14
| ~ spl33_99 ),
inference(resolution,[],[f1062,f567]) ).
fof(f567,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f2629,plain,
( ~ spl33_8
| spl33_258
| ~ spl33_12
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1118,f1061,f555,f2626,f535]) ).
fof(f2626,plain,
( spl33_258
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_258])]) ).
fof(f1118,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ aSet0(szNzAzT0)
| ~ spl33_12
| ~ spl33_99 ),
inference(resolution,[],[f1062,f557]) ).
fof(f2616,plain,
( ~ spl33_3
| spl33_257
| ~ spl33_16
| ~ spl33_80 ),
inference(avatar_split_clause,[],[f972,f940,f575,f2614,f510]) ).
fof(f2614,plain,
( spl33_257
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_257])]) ).
fof(f972,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) )
| ~ spl33_16
| ~ spl33_80 ),
inference(superposition,[],[f941,f577]) ).
fof(f2611,plain,
( ~ spl33_3
| spl33_256
| ~ spl33_16
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f956,f908,f575,f2609,f510]) ).
fof(f2609,plain,
( spl33_256
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_256])]) ).
fof(f908,plain,
( spl33_72
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_72])]) ).
fof(f956,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl33_16
| ~ spl33_72 ),
inference(superposition,[],[f909,f577]) ).
fof(f909,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_72 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f2605,plain,
( ~ spl33_4
| ~ spl33_5
| spl33_255
| ~ spl33_27
| ~ spl33_65 ),
inference(avatar_split_clause,[],[f889,f850,f630,f2602,f520,f515]) ).
fof(f520,plain,
( spl33_5
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f2602,plain,
( spl33_255
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_255])]) ).
fof(f889,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl33_27
| ~ spl33_65 ),
inference(resolution,[],[f851,f632]) ).
fof(f2599,plain,
( ~ spl33_8
| spl33_254
| ~ spl33_41
| ~ spl33_51 ),
inference(avatar_split_clause,[],[f771,f768,f707,f2597,f535]) ).
fof(f2597,plain,
( spl33_254
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_254])]) ).
fof(f771,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_41
| ~ spl33_51 ),
inference(resolution,[],[f769,f708]) ).
fof(f2579,plain,
( spl33_253
| ~ spl33_13
| ~ spl33_230 ),
inference(avatar_split_clause,[],[f2315,f2310,f560,f2576]) ).
fof(f2576,plain,
( spl33_253
<=> sP3(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_253])]) ).
fof(f2310,plain,
( spl33_230
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_230])]) ).
fof(f2315,plain,
( sP3(xS,xN)
| ~ spl33_13
| ~ spl33_230 ),
inference(resolution,[],[f2311,f562]) ).
fof(f2311,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN) )
| ~ spl33_230 ),
inference(avatar_component_clause,[],[f2310]) ).
fof(f2547,plain,
( spl33_252
| ~ spl33_136 ),
inference(avatar_split_clause,[],[f1329,f1266,f2545]) ).
fof(f2545,plain,
( spl33_252
<=> ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_252])]) ).
fof(f1266,plain,
( spl33_136
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_136])]) ).
fof(f1329,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_136 ),
inference(duplicate_literal_removal,[],[f1328]) ).
fof(f1328,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_136 ),
inference(equality_resolution,[],[f1267]) ).
fof(f1267,plain,
( ! [X0,X1] :
( X0 != X1
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_136 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f2543,plain,
( spl33_251
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1032,f1002,f2541]) ).
fof(f2541,plain,
( spl33_251
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_251])]) ).
fof(f1002,plain,
( spl33_90
<=> ! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_90])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_90 ),
inference(equality_resolution,[],[f1003]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( sdtmndt0(X0,X1) != X2
| aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_90 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f2539,plain,
( spl33_250
| ~ spl33_89 ),
inference(avatar_split_clause,[],[f1031,f998,f2537]) ).
fof(f2537,plain,
( spl33_250
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_250])]) ).
fof(f998,plain,
( spl33_89
<=> ! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_89])]) ).
fof(f1031,plain,
( ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_89 ),
inference(equality_resolution,[],[f999]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,X1) != X2
| aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_89 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f2535,plain,
( spl33_249
| ~ spl33_40
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f906,f863,f703,f2533]) ).
fof(f2533,plain,
( spl33_249
<=> ! [X1] :
( slcrc0 = X1
| ~ aSet0(X1)
| aElement0(sK26(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_249])]) ).
fof(f906,plain,
( ! [X1] :
( slcrc0 = X1
| ~ aSet0(X1)
| aElement0(sK26(X1)) )
| ~ spl33_40
| ~ spl33_68 ),
inference(duplicate_literal_removal,[],[f905]) ).
fof(f905,plain,
( ! [X1] :
( slcrc0 = X1
| ~ aSet0(X1)
| aElement0(sK26(X1))
| ~ aSet0(X1) )
| ~ spl33_40
| ~ spl33_68 ),
inference(resolution,[],[f864,f704]) ).
fof(f2531,plain,
( spl33_247
| ~ spl33_8
| spl33_248
| ~ spl33_24
| ~ spl33_68 ),
inference(avatar_split_clause,[],[f904,f863,f611,f2528,f535,f2524]) ).
fof(f2524,plain,
( spl33_247
<=> sP5(sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_247])]) ).
fof(f904,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP5(sK26(szNzAzT0))
| ~ spl33_24
| ~ spl33_68 ),
inference(resolution,[],[f864,f612]) ).
fof(f2522,plain,
( spl33_246
| ~ spl33_13
| ~ spl33_229 ),
inference(avatar_split_clause,[],[f2305,f2300,f560,f2519]) ).
fof(f2519,plain,
( spl33_246
<=> sP1(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_246])]) ).
fof(f2305,plain,
( sP1(xS,xN)
| ~ spl33_13
| ~ spl33_229 ),
inference(resolution,[],[f2301,f562]) ).
fof(f2517,plain,
( spl33_245
| ~ spl33_24
| ~ spl33_67 ),
inference(avatar_split_clause,[],[f897,f859,f611,f2515]) ).
fof(f2515,plain,
( spl33_245
<=> ! [X6] :
( ~ isFinite0(X6)
| ~ aSubsetOf0(X6,szNzAzT0)
| sP5(sK24(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_245])]) ).
fof(f897,plain,
( ! [X6] :
( ~ isFinite0(X6)
| ~ aSubsetOf0(X6,szNzAzT0)
| sP5(sK24(X6)) )
| ~ spl33_24
| ~ spl33_67 ),
inference(resolution,[],[f860,f612]) ).
fof(f2512,plain,
( ~ spl33_66
| spl33_244
| ~ spl33_18
| ~ spl33_62 ),
inference(avatar_split_clause,[],[f880,f838,f585,f2510,f854]) ).
fof(f854,plain,
( spl33_66
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_66])]) ).
fof(f838,plain,
( spl33_62
<=> ! [X0,X1] :
( sP4(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_62])]) ).
fof(f880,plain,
( ! [X0] :
( slcrc0 != X0
| sP4(sz00,X0)
| ~ sP5(sz00) )
| ~ spl33_18
| ~ spl33_62 ),
inference(superposition,[],[f839,f587]) ).
fof(f839,plain,
( ! [X0,X1] :
( slbdtrb0(X0) != X1
| sP4(X0,X1)
| ~ sP5(X0) )
| ~ spl33_62 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f2508,plain,
( spl33_243
| ~ spl33_31
| ~ spl33_54 ),
inference(avatar_split_clause,[],[f796,f782,f648,f2506]) ).
fof(f2506,plain,
( spl33_243
<=> ! [X3] :
( ~ isFinite0(X3)
| ~ aSet0(X3)
| isFinite0(slbdtrb0(sbrdtbr0(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_243])]) ).
fof(f796,plain,
( ! [X3] :
( ~ isFinite0(X3)
| ~ aSet0(X3)
| isFinite0(slbdtrb0(sbrdtbr0(X3))) )
| ~ spl33_31
| ~ spl33_54 ),
inference(resolution,[],[f783,f649]) ).
fof(f2484,plain,
( spl33_242
| ~ spl33_235
| ~ spl33_241 ),
inference(avatar_split_clause,[],[f2480,f2477,f2379,f2482]) ).
fof(f2482,plain,
( spl33_242
<=> ! [X1] :
( sdtlseqdt0(xk,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_242])]) ).
fof(f2379,plain,
( spl33_235
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_235])]) ).
fof(f2477,plain,
( spl33_241
<=> ! [X1] :
( ~ isFinite0(X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sbrdtbr0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_241])]) ).
fof(f2480,plain,
( ! [X1] :
( sdtlseqdt0(xk,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_235
| ~ spl33_241 ),
inference(forward_demodulation,[],[f2478,f2381]) ).
fof(f2381,plain,
( sz00 = xk
| ~ spl33_235 ),
inference(avatar_component_clause,[],[f2379]) ).
fof(f2478,plain,
( ! [X1] :
( sdtlseqdt0(sz00,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ spl33_241 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f2479,plain,
( spl33_241
| ~ spl33_33
| ~ spl33_54 ),
inference(avatar_split_clause,[],[f794,f782,f656,f2477]) ).
fof(f794,plain,
( ! [X1] :
( ~ isFinite0(X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sbrdtbr0(X1)) )
| ~ spl33_33
| ~ spl33_54 ),
inference(resolution,[],[f783,f657]) ).
fof(f2441,plain,
( ~ spl33_8
| spl33_240
| ~ spl33_40
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f763,f732,f703,f2439,f535]) ).
fof(f763,plain,
( ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| aElement0(szszuzczcdt0(X4))
| ~ aSet0(szNzAzT0) )
| ~ spl33_40
| ~ spl33_47 ),
inference(resolution,[],[f733,f704]) ).
fof(f2437,plain,
( spl33_239
| ~ spl33_32
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f760,f732,f652,f2435]) ).
fof(f2435,plain,
( spl33_239
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_239])]) ).
fof(f760,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X1)) )
| ~ spl33_32
| ~ spl33_47 ),
inference(resolution,[],[f733,f653]) ).
fof(f2411,plain,
( ~ spl33_238
| ~ spl33_235
| spl33_237 ),
inference(avatar_split_clause,[],[f2406,f2402,f2379,f2408]) ).
fof(f2408,plain,
( spl33_238
<=> xk = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_238])]) ).
fof(f2402,plain,
( spl33_237
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_237])]) ).
fof(f2406,plain,
( xk != xi
| ~ spl33_235
| spl33_237 ),
inference(forward_demodulation,[],[f2403,f2381]) ).
fof(f2403,plain,
( sz00 != xi
| spl33_237 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2405,plain,
( spl33_236
| spl33_237
| ~ spl33_11
| ~ spl33_86 ),
inference(avatar_split_clause,[],[f1021,f986,f550,f2402,f2398]) ).
fof(f2398,plain,
( spl33_236
<=> xi = szszuzczcdt0(sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_236])]) ).
fof(f1021,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK21(xi))
| ~ spl33_11
| ~ spl33_86 ),
inference(resolution,[],[f987,f552]) ).
fof(f2382,plain,
( spl33_234
| spl33_235
| ~ spl33_14
| ~ spl33_86 ),
inference(avatar_split_clause,[],[f1020,f986,f565,f2379,f2375]) ).
fof(f2375,plain,
( spl33_234
<=> xk = szszuzczcdt0(sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_234])]) ).
fof(f1020,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK21(xk))
| ~ spl33_14
| ~ spl33_86 ),
inference(resolution,[],[f987,f567]) ).
fof(f2353,plain,
( spl33_233
| ~ spl33_11
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2232,f2220,f550,f2350]) ).
fof(f2350,plain,
( spl33_233
<=> sP5(szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_233])]) ).
fof(f2232,plain,
( sP5(szszuzczcdt0(xi))
| ~ spl33_11
| ~ spl33_221 ),
inference(resolution,[],[f2221,f552]) ).
fof(f2348,plain,
( spl33_232
| spl33_10
| ~ spl33_12
| ~ spl33_86 ),
inference(avatar_split_clause,[],[f1019,f986,f555,f545,f2345]) ).
fof(f2345,plain,
( spl33_232
<=> xK = szszuzczcdt0(sK21(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_232])]) ).
fof(f1019,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK21(xK))
| ~ spl33_12
| ~ spl33_86 ),
inference(resolution,[],[f987,f557]) ).
fof(f2322,plain,
( ~ spl33_8
| spl33_231
| ~ spl33_13
| ~ spl33_85 ),
inference(avatar_split_clause,[],[f1014,f982,f560,f2320,f535]) ).
fof(f2320,plain,
( spl33_231
<=> ! [X10] :
( ~ aElementOf0(X10,xS)
| aElementOf0(X10,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_231])]) ).
fof(f1014,plain,
( ! [X10] :
( ~ aElementOf0(X10,xS)
| aElementOf0(X10,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_13
| ~ spl33_85 ),
inference(resolution,[],[f983,f562]) ).
fof(f2312,plain,
( ~ spl33_3
| spl33_230
| ~ spl33_16
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f877,f826,f575,f2310,f510]) ).
fof(f877,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN)
| ~ aFunction0(xN) )
| ~ spl33_16
| ~ spl33_59 ),
inference(superposition,[],[f827,f577]) ).
fof(f2302,plain,
( ~ spl33_3
| spl33_229
| ~ spl33_16
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f875,f822,f575,f2300,f510]) ).
fof(f875,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN)
| ~ aFunction0(xN) )
| ~ spl33_16
| ~ spl33_58 ),
inference(superposition,[],[f823,f577]) ).
fof(f2292,plain,
( spl33_228
| ~ spl33_12
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f2230,f2220,f555,f2289]) ).
fof(f2289,plain,
( spl33_228
<=> sP5(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_228])]) ).
fof(f2230,plain,
( sP5(szszuzczcdt0(xK))
| ~ spl33_12
| ~ spl33_221 ),
inference(resolution,[],[f2221,f557]) ).
fof(f2284,plain,
( spl33_227
| ~ spl33_82 ),
inference(avatar_split_clause,[],[f975,f948,f2282]) ).
fof(f2282,plain,
( spl33_227
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP9(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_227])]) ).
fof(f948,plain,
( spl33_82
<=> ! [X4,X0,X2,X1] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_82])]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP9(X0,X2,X1) )
| ~ spl33_82 ),
inference(equality_resolution,[],[f949]) ).
fof(f949,plain,
( ! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) )
| ~ spl33_82 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f2280,plain,
( spl33_226
| ~ spl33_24
| ~ spl33_54 ),
inference(avatar_split_clause,[],[f797,f782,f611,f2278]) ).
fof(f2278,plain,
( spl33_226
<=> ! [X4] :
( ~ isFinite0(X4)
| ~ aSet0(X4)
| sP5(sbrdtbr0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_226])]) ).
fof(f797,plain,
( ! [X4] :
( ~ isFinite0(X4)
| ~ aSet0(X4)
| sP5(sbrdtbr0(X4)) )
| ~ spl33_24
| ~ spl33_54 ),
inference(resolution,[],[f783,f612]) ).
fof(f2276,plain,
( spl33_225
| ~ spl33_31
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f761,f732,f648,f2274]) ).
fof(f2274,plain,
( spl33_225
<=> ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_225])]) ).
fof(f761,plain,
( ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X2))) )
| ~ spl33_31
| ~ spl33_47 ),
inference(resolution,[],[f733,f649]) ).
fof(f2272,plain,
( spl33_224
| ~ spl33_33
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f759,f732,f656,f2270]) ).
fof(f2270,plain,
( spl33_224
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_224])]) ).
fof(f759,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl33_33
| ~ spl33_47 ),
inference(resolution,[],[f733,f657]) ).
fof(f2268,plain,
( ~ spl33_4
| spl33_223
| ~ spl33_27
| ~ spl33_41 ),
inference(avatar_split_clause,[],[f753,f707,f630,f2265,f515]) ).
fof(f2265,plain,
( spl33_223
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_223])]) ).
fof(f753,plain,
( aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ spl33_27
| ~ spl33_41 ),
inference(resolution,[],[f708,f632]) ).
fof(f2226,plain,
( spl33_222
| ~ spl33_62 ),
inference(avatar_split_clause,[],[f881,f838,f2224]) ).
fof(f2224,plain,
( spl33_222
<=> ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_222])]) ).
fof(f881,plain,
( ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) )
| ~ spl33_62 ),
inference(equality_resolution,[],[f839]) ).
fof(f2222,plain,
( spl33_221
| ~ spl33_24
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f762,f732,f611,f2220]) ).
fof(f762,plain,
( ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| sP5(szszuzczcdt0(X3)) )
| ~ spl33_24
| ~ spl33_47 ),
inference(resolution,[],[f733,f612]) ).
fof(f2216,plain,
( ~ spl33_14
| spl33_220
| ~ spl33_17
| ~ spl33_46 ),
inference(avatar_split_clause,[],[f758,f728,f580,f2213,f565]) ).
fof(f2213,plain,
( spl33_220
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_220])]) ).
fof(f728,plain,
( spl33_46
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f758,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_17
| ~ spl33_46 ),
inference(superposition,[],[f729,f582]) ).
fof(f729,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f2211,plain,
( ~ spl33_14
| spl33_219
| ~ spl33_17
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f757,f724,f580,f2208,f565]) ).
fof(f2208,plain,
( spl33_219
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_219])]) ).
fof(f724,plain,
( spl33_45
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f757,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_17
| ~ spl33_45 ),
inference(superposition,[],[f725,f582]) ).
fof(f725,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f2206,plain,
( ~ spl33_14
| ~ spl33_218
| ~ spl33_17
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f756,f720,f580,f2203,f565]) ).
fof(f2203,plain,
( spl33_218
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_218])]) ).
fof(f720,plain,
( spl33_44
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_44])]) ).
fof(f756,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_17
| ~ spl33_44 ),
inference(superposition,[],[f721,f582]) ).
fof(f721,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_44 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f2201,plain,
( ~ spl33_14
| ~ spl33_217
| ~ spl33_17
| ~ spl33_43 ),
inference(avatar_split_clause,[],[f755,f716,f580,f2198,f565]) ).
fof(f2198,plain,
( spl33_217
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_217])]) ).
fof(f716,plain,
( spl33_43
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_43])]) ).
fof(f755,plain,
( xK != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_17
| ~ spl33_43 ),
inference(superposition,[],[f717,f582]) ).
fof(f717,plain,
( ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_43 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f2196,plain,
( spl33_216
| ~ spl33_15
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f807,f790,f570,f2194]) ).
fof(f2194,plain,
( spl33_216
<=> ! [X0] :
( sP11(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_216])]) ).
fof(f807,plain,
( ! [X0] :
( sP11(X0,sz00)
| ~ aSet0(X0) )
| ~ spl33_15
| ~ spl33_56 ),
inference(resolution,[],[f791,f572]) ).
fof(f2168,plain,
( spl33_215
| ~ spl33_11
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f812,f790,f550,f2166]) ).
fof(f2166,plain,
( spl33_215
<=> ! [X7] :
( sP11(X7,xi)
| ~ aSet0(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_215])]) ).
fof(f812,plain,
( ! [X7] :
( sP11(X7,xi)
| ~ aSet0(X7) )
| ~ spl33_11
| ~ spl33_56 ),
inference(resolution,[],[f791,f552]) ).
fof(f2164,plain,
( spl33_214
| ~ spl33_14
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f811,f790,f565,f2162]) ).
fof(f2162,plain,
( spl33_214
<=> ! [X6] :
( sP11(X6,xk)
| ~ aSet0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_214])]) ).
fof(f811,plain,
( ! [X6] :
( sP11(X6,xk)
| ~ aSet0(X6) )
| ~ spl33_14
| ~ spl33_56 ),
inference(resolution,[],[f791,f567]) ).
fof(f2160,plain,
( spl33_213
| ~ spl33_12
| ~ spl33_56 ),
inference(avatar_split_clause,[],[f810,f790,f555,f2158]) ).
fof(f810,plain,
( ! [X5] :
( sP11(X5,xK)
| ~ aSet0(X5) )
| ~ spl33_12
| ~ spl33_56 ),
inference(resolution,[],[f791,f557]) ).
fof(f2156,plain,
( spl33_212
| ~ spl33_11
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f805,f786,f550,f2153]) ).
fof(f2153,plain,
( spl33_212
<=> xi = sbrdtbr0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_212])]) ).
fof(f805,plain,
( xi = sbrdtbr0(slbdtrb0(xi))
| ~ spl33_11
| ~ spl33_55 ),
inference(resolution,[],[f787,f552]) ).
fof(f2151,plain,
( spl33_211
| ~ spl33_14
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f804,f786,f565,f2148]) ).
fof(f2148,plain,
( spl33_211
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_211])]) ).
fof(f804,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl33_14
| ~ spl33_55 ),
inference(resolution,[],[f787,f567]) ).
fof(f2146,plain,
( spl33_210
| ~ spl33_12
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f803,f786,f555,f2143]) ).
fof(f2143,plain,
( spl33_210
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_210])]) ).
fof(f803,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl33_12
| ~ spl33_55 ),
inference(resolution,[],[f787,f557]) ).
fof(f2133,plain,
( spl33_209
| ~ spl33_15
| ~ spl33_18
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f806,f786,f585,f570,f2130]) ).
fof(f2130,plain,
( spl33_209
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_209])]) ).
fof(f806,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl33_15
| ~ spl33_18
| ~ spl33_55 ),
inference(forward_demodulation,[],[f800,f587]) ).
fof(f800,plain,
( sz00 = sbrdtbr0(slbdtrb0(sz00))
| ~ spl33_15
| ~ spl33_55 ),
inference(resolution,[],[f787,f572]) ).
fof(f2128,plain,
( ~ spl33_71
| ~ spl33_208
| ~ spl33_49 ),
inference(avatar_split_clause,[],[f766,f740,f2125,f883]) ).
fof(f883,plain,
( spl33_71
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_71])]) ).
fof(f740,plain,
( spl33_49
<=> ! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_49])]) ).
fof(f766,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0)
| ~ spl33_49 ),
inference(equality_resolution,[],[f741]) ).
fof(f741,plain,
( ! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) )
| ~ spl33_49 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f2123,plain,
( ~ spl33_8
| spl33_207
| ~ spl33_15
| ~ spl33_40 ),
inference(avatar_split_clause,[],[f747,f703,f570,f2120,f535]) ).
fof(f2120,plain,
( spl33_207
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_207])]) ).
fof(f747,plain,
( aElement0(sz00)
| ~ aSet0(szNzAzT0)
| ~ spl33_15
| ~ spl33_40 ),
inference(resolution,[],[f704,f572]) ).
fof(f2118,plain,
( ~ spl33_8
| ~ spl33_206
| ~ spl33_9
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f694,f660,f540,f2115,f535]) ).
fof(f2115,plain,
( spl33_206
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_206])]) ).
fof(f694,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl33_9
| ~ spl33_34 ),
inference(resolution,[],[f661,f542]) ).
fof(f2113,plain,
( ~ spl33_8
| spl33_201
| ~ spl33_13
| ~ spl33_41 ),
inference(avatar_split_clause,[],[f751,f707,f560,f2090,f535]) ).
fof(f751,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl33_13
| ~ spl33_41 ),
inference(resolution,[],[f708,f562]) ).
fof(f2112,plain,
( ~ spl33_8
| spl33_205
| ~ spl33_11
| ~ spl33_40 ),
inference(avatar_split_clause,[],[f750,f703,f550,f2109,f535]) ).
fof(f2109,plain,
( spl33_205
<=> aElement0(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_205])]) ).
fof(f750,plain,
( aElement0(xi)
| ~ aSet0(szNzAzT0)
| ~ spl33_11
| ~ spl33_40 ),
inference(resolution,[],[f704,f552]) ).
fof(f2107,plain,
( ~ spl33_8
| spl33_204
| ~ spl33_14
| ~ spl33_40 ),
inference(avatar_split_clause,[],[f749,f703,f565,f2104,f535]) ).
fof(f2104,plain,
( spl33_204
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_204])]) ).
fof(f749,plain,
( aElement0(xk)
| ~ aSet0(szNzAzT0)
| ~ spl33_14
| ~ spl33_40 ),
inference(resolution,[],[f704,f567]) ).
fof(f2102,plain,
( ~ spl33_8
| spl33_203
| ~ spl33_12
| ~ spl33_40 ),
inference(avatar_split_clause,[],[f748,f703,f555,f2099,f535]) ).
fof(f2099,plain,
( spl33_203
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_203])]) ).
fof(f748,plain,
( aElement0(xK)
| ~ aSet0(szNzAzT0)
| ~ spl33_12
| ~ spl33_40 ),
inference(resolution,[],[f704,f557]) ).
fof(f2097,plain,
( ~ spl33_201
| ~ spl33_202
| ~ spl33_6
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f693,f660,f525,f2094,f2090]) ).
fof(f693,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl33_6
| ~ spl33_34 ),
inference(resolution,[],[f661,f527]) ).
fof(f527,plain,
( isCountable0(xS)
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f2087,plain,
spl33_200,
inference(avatar_split_clause,[],[f338,f2085]) ).
fof(f2085,plain,
( spl33_200
<=> ! [X0,X5,X2,X1] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_200])]) ).
fof(f338,plain,
! [X2,X0,X1,X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0)) )
& isCountable0(sK13(X0,X1,X2))
& aSubsetOf0(sK13(X0,X1,X2),X1)
& aElementOf0(sK12(X0,X1,X2),xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f102,f226,f225]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
=> ( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(sK12(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
=> ( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0)) )
& isCountable0(sK13(X0,X1,X2))
& aSubsetOf0(sK13(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
& slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(X4,X0))
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3398) ).
fof(f2059,plain,
spl33_199,
inference(avatar_split_clause,[],[f336,f2057]) ).
fof(f2057,plain,
( spl33_199
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK13(X0,X1,X2),X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_199])]) ).
fof(f336,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK13(X0,X1,X2),X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f2055,plain,
spl33_198,
inference(avatar_split_clause,[],[f335,f2053]) ).
fof(f2053,plain,
( spl33_198
<=> ! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),xT)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_198])]) ).
fof(f335,plain,
! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),xT)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f2050,plain,
spl33_197,
inference(avatar_split_clause,[],[f337,f2048]) ).
fof(f2048,plain,
( spl33_197
<=> ! [X2,X0,X1] :
( isCountable0(sK13(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_197])]) ).
fof(f337,plain,
! [X2,X0,X1] :
( isCountable0(sK13(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f2036,plain,
spl33_196,
inference(avatar_split_clause,[],[f464,f2034]) ).
fof(f2034,plain,
( spl33_196
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_196])]) ).
fof(f464,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ( ( sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) )
& ( ( sK29(X0,X1,X2) != X0
& aElementOf0(sK29(X0,X1,X2),X1)
& aElement0(sK29(X0,X1,X2)) )
| aElementOf0(sK29(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f293,f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) )
& ( ( sK29(X0,X1,X2) != X0
& aElementOf0(sK29(X0,X1,X2),X1)
& aElement0(sK29(X0,X1,X2)) )
| aElementOf0(sK29(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f292]) ).
fof(f292,plain,
! [X1,X0,X2] :
( ( sP9(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(flattening,[],[f291]) ).
fof(f291,plain,
! [X1,X0,X2] :
( ( sP9(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X1,X0,X2] :
( sP9(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2032,plain,
spl33_195,
inference(avatar_split_clause,[],[f443,f2030]) ).
fof(f2030,plain,
( spl33_195
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_195])]) ).
fof(f443,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
& aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK27(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f281,f282]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
& aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK27(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f280]) ).
fof(f280,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X1,X0,X2] :
( sP6(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2015,plain,
spl33_194,
inference(avatar_split_clause,[],[f484,f2013]) ).
fof(f2013,plain,
( spl33_194
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_194])]) ).
fof(f484,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,[],[f189]) ).
fof(f189,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,[],[f188]) ).
fof(f188,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mMinMin) ).
fof(f2011,plain,
spl33_193,
inference(avatar_split_clause,[],[f481,f2009]) ).
fof(f2009,plain,
( spl33_193
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_193])]) ).
fof(f481,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f305,f306]) ).
fof(f306,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f304]) ).
fof(f304,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f303]) ).
fof(f303,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2007,plain,
spl33_192,
inference(avatar_split_clause,[],[f413,f2005]) ).
fof(f2005,plain,
( spl33_192
<=> ! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_192])]) ).
fof(f413,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,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f147]) ).
fof(f147,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSelSub) ).
fof(f1996,plain,
spl33_191,
inference(avatar_split_clause,[],[f325,f1994]) ).
fof(f1994,plain,
( spl33_191
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_191])]) ).
fof(f325,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3623) ).
fof(f1977,plain,
( spl33_190
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f695,f664,f1975]) ).
fof(f664,plain,
( spl33_35
<=> ! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_35])]) ).
fof(f695,plain,
( ! [X0] : ~ aElementOf0(X0,slcrc0)
| ~ spl33_35 ),
inference(equality_resolution,[],[f665]) ).
fof(f665,plain,
( ! [X2,X0] :
( slcrc0 != X0
| ~ aElementOf0(X2,X0) )
| ~ spl33_35 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1972,plain,
spl33_189,
inference(avatar_split_clause,[],[f365,f1970]) ).
fof(f1970,plain,
( spl33_189
<=> ! [X4,X0,X2,X1] :
( sP2(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_189])]) ).
fof(f365,plain,
! [X2,X0,X1,X4] :
( sP2(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
& aElementOf0(sK16(X0,X1,X2),X1) )
| aElementOf0(sK15(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
& aElementOf0(sK17(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f239,f242,f241,f240]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK15(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK15(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK15(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
& aElementOf0(sK16(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
& aElementOf0(sK17(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(flattening,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( sP2(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1968,plain,
spl33_188,
inference(avatar_split_clause,[],[f364,f1966]) ).
fof(f1966,plain,
( spl33_188
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_188])]) ).
fof(f364,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1964,plain,
spl33_187,
inference(avatar_split_clause,[],[f355,f1962]) ).
fof(f355,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f232,f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1932,plain,
spl33_186,
inference(avatar_split_clause,[],[f451,f1930]) ).
fof(f1930,plain,
( spl33_186
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_186])]) ).
fof(f451,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( ( ( sK28(X0,X1,X2) != X0
& ~ aElementOf0(sK28(X0,X1,X2),X1) )
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) )
& ( ( ( sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1) )
& aElement0(sK28(X0,X1,X2)) )
| aElementOf0(sK28(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f286,f287]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK28(X0,X1,X2) != X0
& ~ aElementOf0(sK28(X0,X1,X2),X1) )
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) )
& ( ( ( sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1) )
& aElement0(sK28(X0,X1,X2)) )
| aElementOf0(sK28(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(flattening,[],[f284]) ).
fof(f284,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X1,X0,X2] :
( sP8(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1908,plain,
spl33_185,
inference(avatar_split_clause,[],[f452,f1906]) ).
fof(f1906,plain,
( spl33_185
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_185])]) ).
fof(f452,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1904,plain,
( spl33_184
| ~ spl33_15
| ~ spl33_32 ),
inference(avatar_split_clause,[],[f685,f652,f570,f1901]) ).
fof(f1901,plain,
( spl33_184
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_184])]) ).
fof(f685,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl33_15
| ~ spl33_32 ),
inference(resolution,[],[f653,f572]) ).
fof(f1899,plain,
spl33_183,
inference(avatar_split_clause,[],[f411,f1897]) ).
fof(f1897,plain,
( spl33_183
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_183])]) ).
fof(f411,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),szNzAzT0) )
| aElementOf0(sK22(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f258,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),szNzAzT0) )
| aElementOf0(sK22(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(flattening,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(nnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( sP4(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1895,plain,
spl33_182,
inference(avatar_split_clause,[],[f372,f1893]) ).
fof(f1893,plain,
( spl33_182
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_182])]) ).
fof(f372,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
& sK18(X0) != sK19(X0)
& aElementOf0(sK19(X0),szDzozmdt0(X0))
& aElementOf0(sK18(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f115,f244]) ).
fof(f244,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
& sK18(X0) != sK19(X0)
& aElementOf0(sK19(X0),szDzozmdt0(X0))
& aElementOf0(sK18(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mImgCount) ).
fof(f1856,plain,
spl33_181,
inference(avatar_split_clause,[],[f472,f1854]) ).
fof(f1854,plain,
( spl33_181
<=> ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_181])]) ).
fof(f472,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
& isFinite0(sK31(X0,X1,X2))
& aSubsetOf0(sK31(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f183,f300]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
& isFinite0(sK31(X0,X1,X2))
& aSubsetOf0(sK31(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f182]) ).
fof(f182,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSelExtra) ).
fof(f1852,plain,
spl33_180,
inference(avatar_split_clause,[],[f442,f1850]) ).
fof(f1850,plain,
( spl33_180
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_180])]) ).
fof(f442,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1848,plain,
spl33_179,
inference(avatar_split_clause,[],[f424,f1846]) ).
fof(f1846,plain,
( spl33_179
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK23(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_179])]) ).
fof(f424,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK23(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK23(X0,X1),X1)
& aElementOf0(sK23(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f263,f264]) ).
fof(f264,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK23(X0,X1),X1)
& aElementOf0(sK23(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f263,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,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f261]) ).
fof(f261,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,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f163]) ).
fof(f163,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefMax) ).
fof(f1844,plain,
spl33_178,
inference(avatar_split_clause,[],[f423,f1842]) ).
fof(f1842,plain,
( spl33_178
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK23(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_178])]) ).
fof(f423,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK23(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1802,plain,
spl33_177,
inference(avatar_split_clause,[],[f480,f1800]) ).
fof(f1800,plain,
( spl33_177
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_177])]) ).
fof(f480,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1798,plain,
spl33_176,
inference(avatar_split_clause,[],[f441,f1796]) ).
fof(f1796,plain,
( spl33_176
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_176])]) ).
fof(f441,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1684,plain,
spl33_175,
inference(avatar_split_clause,[],[f496,f1682]) ).
fof(f1682,plain,
( spl33_175
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_175])]) ).
fof(f496,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,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f204]) ).
fof(f204,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mLessTrans) ).
fof(f1680,plain,
spl33_174,
inference(avatar_split_clause,[],[f492,f1678]) ).
fof(f1678,plain,
( spl33_174
<=> ! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_174])]) ).
fof(f492,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f310]) ).
fof(f310,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,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f200]) ).
fof(f200,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSegSucc) ).
fof(f1676,plain,
spl33_173,
inference(avatar_split_clause,[],[f479,f1674]) ).
fof(f1674,plain,
( spl33_173
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_173])]) ).
fof(f479,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1672,plain,
spl33_172,
inference(avatar_split_clause,[],[f470,f1670]) ).
fof(f1670,plain,
( spl33_172
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_172])]) ).
fof(f470,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f1668,plain,
spl33_171,
inference(avatar_split_clause,[],[f430,f1666]) ).
fof(f1666,plain,
( spl33_171
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK25(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_171])]) ).
fof(f430,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK25(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f270,f271]) ).
fof(f271,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f270,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,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f268]) ).
fof(f268,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,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f167]) ).
fof(f167,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefMin) ).
fof(f1664,plain,
spl33_170,
inference(avatar_split_clause,[],[f429,f1662]) ).
fof(f1662,plain,
( spl33_170
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_170])]) ).
fof(f429,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1660,plain,
spl33_169,
inference(avatar_split_clause,[],[f422,f1658]) ).
fof(f1658,plain,
( spl33_169
<=> ! [X0,X1,X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_169])]) ).
fof(f422,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1656,plain,
spl33_168,
inference(avatar_split_clause,[],[f363,f1654]) ).
fof(f1654,plain,
( spl33_168
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_168])]) ).
fof(f363,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1647,plain,
spl33_167,
inference(avatar_split_clause,[],[f339,f1645]) ).
fof(f1645,plain,
( spl33_167
<=> ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_167])]) ).
fof(f339,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3821) ).
fof(f1608,plain,
spl33_166,
inference(avatar_split_clause,[],[f471,f1606]) ).
fof(f1606,plain,
( spl33_166
<=> ! [X2,X0,X1] :
( isFinite0(sK31(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_166])]) ).
fof(f471,plain,
! [X2,X0,X1] :
( isFinite0(sK31(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f1604,plain,
spl33_165,
inference(avatar_split_clause,[],[f469,f1602]) ).
fof(f1602,plain,
( spl33_165
<=> ! [X0,X1] :
( sbrdtbr0(sK30(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_165])]) ).
fof(f469,plain,
! [X0,X1] :
( sbrdtbr0(sK30(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0,X1] :
( ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f181,f298]) ).
fof(f298,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardSubEx) ).
fof(f1598,plain,
spl33_164,
inference(avatar_split_clause,[],[f415,f1596]) ).
fof(f1596,plain,
( spl33_164
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_164])]) ).
fof(f415,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardCons) ).
fof(f1594,plain,
spl33_163,
inference(avatar_split_clause,[],[f371,f1592]) ).
fof(f1592,plain,
( spl33_163
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK18(X0) != sK19(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_163])]) ).
fof(f371,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK18(X0) != sK19(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1590,plain,
spl33_162,
inference(avatar_split_clause,[],[f370,f1588]) ).
fof(f1588,plain,
( spl33_162
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_162])]) ).
fof(f370,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1586,plain,
spl33_161,
inference(avatar_split_clause,[],[f369,f1584]) ).
fof(f1584,plain,
( spl33_161
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_161])]) ).
fof(f369,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1579,plain,
spl33_160,
inference(avatar_split_clause,[],[f326,f1577]) ).
fof(f326,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f1514,plain,
spl33_159,
inference(avatar_split_clause,[],[f468,f1512]) ).
fof(f1512,plain,
( spl33_159
<=> ! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_159])]) ).
fof(f468,plain,
! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f1510,plain,
spl33_158,
inference(avatar_split_clause,[],[f462,f1508]) ).
fof(f462,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElementOf0(sK29(X0,X1,X2),X1)
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1506,plain,
spl33_157,
inference(avatar_split_clause,[],[f440,f1504]) ).
fof(f440,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1502,plain,
spl33_156,
inference(avatar_split_clause,[],[f428,f1500]) ).
fof(f428,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1498,plain,
spl33_155,
inference(avatar_split_clause,[],[f410,f1496]) ).
fof(f1496,plain,
( spl33_155
<=> ! [X0,X1] :
( sP4(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_155])]) ).
fof(f410,plain,
! [X0,X1] :
( sP4(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1494,plain,
spl33_154,
inference(avatar_split_clause,[],[f354,f1492]) ).
fof(f1492,plain,
( spl33_154
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElementOf0(sK14(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_154])]) ).
fof(f354,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElementOf0(sK14(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f1483,plain,
spl33_153,
inference(avatar_split_clause,[],[f340,f1481]) ).
fof(f340,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3754) ).
fof(f1389,plain,
spl33_152,
inference(avatar_split_clause,[],[f497,f1387]) ).
fof(f1387,plain,
( spl33_152
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_152])]) ).
fof(f497,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f453]) ).
fof(f453,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1385,plain,
spl33_151,
inference(avatar_split_clause,[],[f495,f1383]) ).
fof(f495,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSubTrans) ).
fof(f1381,plain,
spl33_150,
inference(avatar_split_clause,[],[f493,f1379]) ).
fof(f493,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f1377,plain,
spl33_149,
inference(avatar_split_clause,[],[f487,f1375]) ).
fof(f1375,plain,
( spl33_149
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_149])]) ).
fof(f487,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f194]) ).
fof(f194,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mLessASymm) ).
fof(f1373,plain,
spl33_148,
inference(avatar_split_clause,[],[f467,f1371]) ).
fof(f1371,plain,
( spl33_148
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_148])]) ).
fof(f467,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP9(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f179,f220]) ).
fof(f179,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,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefDiff) ).
fof(f1369,plain,
spl33_147,
inference(avatar_split_clause,[],[f461,f1367]) ).
fof(f461,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1365,plain,
spl33_146,
inference(avatar_split_clause,[],[f460,f1363]) ).
fof(f1363,plain,
( spl33_146
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_146])]) ).
fof(f460,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1361,plain,
spl33_145,
inference(avatar_split_clause,[],[f456,f1359]) ).
fof(f1359,plain,
( spl33_145
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_145])]) ).
fof(f456,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP8(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f177,f218]) ).
fof(f177,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,[],[f176]) ).
fof(f176,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefCons) ).
fof(f1357,plain,
spl33_144,
inference(avatar_split_clause,[],[f450,f1355]) ).
fof(f450,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1353,plain,
spl33_143,
inference(avatar_split_clause,[],[f421,f1351]) ).
fof(f421,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1349,plain,
spl33_142,
inference(avatar_split_clause,[],[f409,f1347]) ).
fof(f409,plain,
! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1345,plain,
spl33_141,
inference(avatar_split_clause,[],[f382,f1343]) ).
fof(f1343,plain,
( spl33_141
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_141])]) ).
fof(f382,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardDiff) ).
fof(f1341,plain,
spl33_140,
inference(avatar_split_clause,[],[f362,f1339]) ).
fof(f362,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1337,plain,
spl33_139,
inference(avatar_split_clause,[],[f361,f1335]) ).
fof(f1335,plain,
( spl33_139
<=> ! [X0,X6,X2,X1] :
( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_139])]) ).
fof(f361,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1333,plain,
spl33_138,
inference(avatar_split_clause,[],[f348,f1331]) ).
fof(f1331,plain,
( spl33_138
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_138])]) ).
fof(f348,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDirichlet) ).
fof(f1273,plain,
( spl33_137
| ~ spl33_11
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f692,f656,f550,f1270]) ).
fof(f692,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl33_11
| ~ spl33_33 ),
inference(resolution,[],[f657,f552]) ).
fof(f1268,plain,
spl33_136,
inference(avatar_split_clause,[],[f494,f1266]) ).
fof(f494,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f1264,plain,
spl33_135,
inference(avatar_split_clause,[],[f491,f1262]) ).
fof(f491,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,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,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f198]) ).
fof(f198,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSegLess) ).
fof(f1260,plain,
spl33_134,
inference(avatar_split_clause,[],[f490,f1258]) ).
fof(f490,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1256,plain,
spl33_133,
inference(avatar_split_clause,[],[f489,f1254]) ).
fof(f489,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,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,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f196]) ).
fof(f196,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSuccLess) ).
fof(f1252,plain,
spl33_132,
inference(avatar_split_clause,[],[f488,f1250]) ).
fof(f488,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1248,plain,
spl33_131,
inference(avatar_split_clause,[],[f486,f1246]) ).
fof(f486,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f192]) ).
fof(f192,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSuccEquSucc) ).
fof(f1244,plain,
spl33_130,
inference(avatar_split_clause,[],[f483,f1242]) ).
fof(f483,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDiffCons) ).
fof(f1240,plain,
spl33_129,
inference(avatar_split_clause,[],[f478,f1238]) ).
fof(f478,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1236,plain,
spl33_128,
inference(avatar_split_clause,[],[f420,f1234]) ).
fof(f420,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSelCSet) ).
fof(f1232,plain,
( spl33_127
| ~ spl33_14
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f691,f656,f565,f1229]) ).
fof(f1229,plain,
( spl33_127
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_127])]) ).
fof(f691,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl33_14
| ~ spl33_33 ),
inference(resolution,[],[f657,f567]) ).
fof(f1227,plain,
spl33_126,
inference(avatar_split_clause,[],[f368,f1225]) ).
fof(f368,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mImgRng) ).
fof(f1223,plain,
spl33_125,
inference(avatar_split_clause,[],[f353,f1221]) ).
fof(f1221,plain,
( spl33_125
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_125])]) ).
fof(f353,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f1202,plain,
( spl33_124
| ~ spl33_12
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f690,f656,f555,f1199]) ).
fof(f1199,plain,
( spl33_124
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_124])]) ).
fof(f690,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl33_12
| ~ spl33_33 ),
inference(resolution,[],[f657,f557]) ).
fof(f1196,plain,
spl33_123,
inference(avatar_split_clause,[],[f498,f1194]) ).
fof(f1194,plain,
( spl33_123
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_123])]) ).
fof(f498,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f463]) ).
fof(f463,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1192,plain,
spl33_122,
inference(avatar_split_clause,[],[f485,f1190]) ).
fof(f485,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f190]) ).
fof(f190,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mLessTotal) ).
fof(f1188,plain,
spl33_121,
inference(avatar_split_clause,[],[f466,f1186]) ).
fof(f466,plain,
! [X2,X0,X1] :
( sP9(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f1184,plain,
spl33_120,
inference(avatar_split_clause,[],[f455,f1182]) ).
fof(f455,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f1180,plain,
spl33_119,
inference(avatar_split_clause,[],[f447,f1178]) ).
fof(f1178,plain,
( spl33_119
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_119])]) ).
fof(f447,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1176,plain,
spl33_118,
inference(avatar_split_clause,[],[f445,f1174]) ).
fof(f445,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSubASymm) ).
fof(f1172,plain,
spl33_117,
inference(avatar_split_clause,[],[f427,f1170]) ).
fof(f427,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1168,plain,
spl33_116,
inference(avatar_split_clause,[],[f408,f1166]) ).
fof(f408,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1164,plain,
( spl33_115
| ~ spl33_11
| ~ spl33_32 ),
inference(avatar_split_clause,[],[f688,f652,f550,f1161]) ).
fof(f1161,plain,
( spl33_115
<=> sdtlseqdt0(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_115])]) ).
fof(f688,plain,
( sdtlseqdt0(xi,xi)
| ~ spl33_11
| ~ spl33_32 ),
inference(resolution,[],[f653,f552]) ).
fof(f1159,plain,
spl33_114,
inference(avatar_split_clause,[],[f360,f1157]) ).
fof(f1157,plain,
( spl33_114
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_114])]) ).
fof(f360,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1155,plain,
spl33_113,
inference(avatar_split_clause,[],[f347,f1153]) ).
fof(f347,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1146,plain,
( spl33_112
| ~ spl33_14
| ~ spl33_32 ),
inference(avatar_split_clause,[],[f687,f652,f565,f1143]) ).
fof(f1143,plain,
( spl33_112
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_112])]) ).
fof(f687,plain,
( sdtlseqdt0(xk,xk)
| ~ spl33_14
| ~ spl33_32 ),
inference(resolution,[],[f653,f567]) ).
fof(f1112,plain,
spl33_111,
inference(avatar_split_clause,[],[f474,f1110]) ).
fof(f1110,plain,
( spl33_111
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_111])]) ).
fof(f474,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2) )
& ( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP10(X1,X0,X2) )
| ~ sP11(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1108,plain,
spl33_110,
inference(avatar_split_clause,[],[f473,f1106]) ).
fof(f473,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f1104,plain,
( spl33_109
| ~ spl33_12
| ~ spl33_32 ),
inference(avatar_split_clause,[],[f686,f652,f555,f1101]) ).
fof(f1101,plain,
( spl33_109
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_109])]) ).
fof(f686,plain,
( sdtlseqdt0(xK,xK)
| ~ spl33_12
| ~ spl33_32 ),
inference(resolution,[],[f653,f557]) ).
fof(f1099,plain,
spl33_108,
inference(avatar_split_clause,[],[f449,f1097]) ).
fof(f449,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1095,plain,
spl33_107,
inference(avatar_split_clause,[],[f448,f1093]) ).
fof(f1093,plain,
( spl33_107
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_107])]) ).
fof(f448,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1091,plain,
spl33_106,
inference(avatar_split_clause,[],[f439,f1089]) ).
fof(f1089,plain,
( spl33_106
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_106])]) ).
fof(f439,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1087,plain,
spl33_105,
inference(avatar_split_clause,[],[f436,f1085]) ).
fof(f1085,plain,
( spl33_105
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_105])]) ).
fof(f436,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2) )
& ( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP7(X0,X1) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP6(X1,X0,X2) )
| ~ sP7(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1083,plain,
spl33_104,
inference(avatar_split_clause,[],[f435,f1081]) ).
fof(f435,plain,
! [X2,X0,X1] :
( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f1079,plain,
spl33_103,
inference(avatar_split_clause,[],[f414,f1077]) ).
fof(f414,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSelNSet) ).
fof(f1075,plain,
spl33_102,
inference(avatar_split_clause,[],[f386,f1073]) ).
fof(f1073,plain,
( spl33_102
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_102])]) ).
fof(f386,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f250,f251]) ).
fof(f251,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f250,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,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f248]) ).
fof(f248,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,[],[f126]) ).
fof(f126,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefSub) ).
fof(f1071,plain,
spl33_101,
inference(avatar_split_clause,[],[f385,f1069]) ).
fof(f385,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1067,plain,
spl33_100,
inference(avatar_split_clause,[],[f381,f1065]) ).
fof(f1065,plain,
( spl33_100
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_100])]) ).
fof(f381,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardSub) ).
fof(f1063,plain,
spl33_99,
inference(avatar_split_clause,[],[f380,f1061]) ).
fof(f380,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mConsDiff) ).
fof(f1059,plain,
( spl33_98
| ~ spl33_11
| ~ spl33_31 ),
inference(avatar_split_clause,[],[f678,f648,f550,f1056]) ).
fof(f1056,plain,
( spl33_98
<=> isFinite0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f678,plain,
( isFinite0(slbdtrb0(xi))
| ~ spl33_11
| ~ spl33_31 ),
inference(resolution,[],[f649,f552]) ).
fof(f1054,plain,
spl33_97,
inference(avatar_split_clause,[],[f358,f1052]) ).
fof(f1052,plain,
( spl33_97
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_97])]) ).
fof(f358,plain,
! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f235]) ).
fof(f235,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP2(X0,X1,X2) )
& ( sP2(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP2(X0,X1,X2) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1050,plain,
spl33_96,
inference(avatar_split_clause,[],[f357,f1048]) ).
fof(f357,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1046,plain,
spl33_95,
inference(avatar_split_clause,[],[f350,f1044]) ).
fof(f1044,plain,
( spl33_95
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_95])]) ).
fof(f350,plain,
! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1042,plain,
spl33_94,
inference(avatar_split_clause,[],[f349,f1040]) ).
fof(f349,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f1037,plain,
spl33_93,
inference(avatar_split_clause,[],[f318,f1034]) ).
fof(f318,plain,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3989_02) ).
fof(f1030,plain,
( spl33_92
| ~ spl33_14
| ~ spl33_31 ),
inference(avatar_split_clause,[],[f677,f648,f565,f1027]) ).
fof(f1027,plain,
( spl33_92
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_92])]) ).
fof(f677,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl33_14
| ~ spl33_31 ),
inference(resolution,[],[f649,f567]) ).
fof(f1008,plain,
spl33_91,
inference(avatar_split_clause,[],[f477,f1006]) ).
fof(f1006,plain,
( spl33_91
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_91])]) ).
fof(f477,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1004,plain,
spl33_90,
inference(avatar_split_clause,[],[f465,f1002]) ).
fof(f465,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f1000,plain,
spl33_89,
inference(avatar_split_clause,[],[f454,f998]) ).
fof(f454,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f996,plain,
spl33_88,
inference(avatar_split_clause,[],[f438,f994]) ).
fof(f994,plain,
( spl33_88
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_88])]) ).
fof(f438,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f992,plain,
spl33_87,
inference(avatar_split_clause,[],[f416,f990]) ).
fof(f990,plain,
( spl33_87
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_87])]) ).
fof(f416,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSelFSet) ).
fof(f988,plain,
spl33_86,
inference(avatar_split_clause,[],[f402,f986]) ).
fof(f402,plain,
! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f145,f253]) ).
fof(f253,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f144]) ).
fof(f144,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mNatExtra) ).
fof(f984,plain,
spl33_85,
inference(avatar_split_clause,[],[f384,f982]) ).
fof(f384,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f980,plain,
( spl33_84
| ~ spl33_12
| ~ spl33_31 ),
inference(avatar_split_clause,[],[f676,f648,f555,f977]) ).
fof(f977,plain,
( spl33_84
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_84])]) ).
fof(f676,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl33_12
| ~ spl33_31 ),
inference(resolution,[],[f649,f557]) ).
fof(f954,plain,
spl33_83,
inference(avatar_split_clause,[],[f476,f952]) ).
fof(f952,plain,
( spl33_83
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_83])]) ).
fof(f476,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f950,plain,
spl33_82,
inference(avatar_split_clause,[],[f459,f948]) ).
fof(f459,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f946,plain,
spl33_81,
inference(avatar_split_clause,[],[f458,f944]) ).
fof(f944,plain,
( spl33_81
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_81])]) ).
fof(f458,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f942,plain,
spl33_80,
inference(avatar_split_clause,[],[f434,f940]) ).
fof(f434,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mPttSet) ).
fof(f938,plain,
spl33_79,
inference(avatar_split_clause,[],[f426,f936]) ).
fof(f426,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
& aElementOf0(sK24(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f166,f266]) ).
fof(f266,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
& aElementOf0(sK24(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f165]) ).
fof(f165,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mFinSubSeg) ).
fof(f934,plain,
spl33_78,
inference(avatar_split_clause,[],[f407,f932]) ).
fof(f932,plain,
( spl33_78
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_78])]) ).
fof(f407,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f930,plain,
spl33_77,
inference(avatar_split_clause,[],[f401,f928]) ).
fof(f401,plain,
! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f926,plain,
spl33_76,
inference(avatar_split_clause,[],[f390,f924]) ).
fof(f390,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCDiffSet) ).
fof(f922,plain,
spl33_75,
inference(avatar_split_clause,[],[f389,f920]) ).
fof(f389,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCConsSet) ).
fof(f918,plain,
spl33_74,
inference(avatar_split_clause,[],[f388,f916]) ).
fof(f916,plain,
( spl33_74
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f388,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mFDiffSet) ).
fof(f914,plain,
spl33_73,
inference(avatar_split_clause,[],[f387,f912]) ).
fof(f912,plain,
( spl33_73
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_73])]) ).
fof(f387,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mFConsSet) ).
fof(f910,plain,
spl33_72,
inference(avatar_split_clause,[],[f367,f908]) ).
fof(f367,plain,
! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mImgElm) ).
fof(f886,plain,
( spl33_71
| ~ spl33_25 ),
inference(avatar_split_clause,[],[f623,f615,f883]) ).
fof(f615,plain,
( spl33_25
<=> ! [X0] :
( aSet0(X0)
| slcrc0 != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f623,plain,
( aSet0(slcrc0)
| ~ spl33_25 ),
inference(equality_resolution,[],[f616]) ).
fof(f616,plain,
( ! [X0] :
( slcrc0 != X0
| aSet0(X0) )
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f873,plain,
spl33_70,
inference(avatar_split_clause,[],[f457,f871]) ).
fof(f871,plain,
( spl33_70
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_70])]) ).
fof(f457,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f869,plain,
spl33_69,
inference(avatar_split_clause,[],[f446,f867]) ).
fof(f867,plain,
( spl33_69
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f446,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f865,plain,
spl33_68,
inference(avatar_split_clause,[],[f433,f863]) ).
fof(f433,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f275,f276]) ).
fof(f276,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK26(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefEmp) ).
fof(f861,plain,
spl33_67,
inference(avatar_split_clause,[],[f425,f859]) ).
fof(f425,plain,
! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f857,plain,
( spl33_66
| ~ spl33_15
| ~ spl33_24 ),
inference(avatar_split_clause,[],[f619,f611,f570,f854]) ).
fof(f619,plain,
( sP5(sz00)
| ~ spl33_15
| ~ spl33_24 ),
inference(resolution,[],[f612,f572]) ).
fof(f852,plain,
spl33_65,
inference(avatar_split_clause,[],[f417,f850]) ).
fof(f417,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSubFSet) ).
fof(f848,plain,
spl33_64,
inference(avatar_split_clause,[],[f406,f846]) ).
fof(f846,plain,
( spl33_64
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_64])]) ).
fof(f406,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f844,plain,
spl33_63,
inference(avatar_split_clause,[],[f404,f842]) ).
fof(f842,plain,
( spl33_63
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_63])]) ).
fof(f404,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f840,plain,
spl33_62,
inference(avatar_split_clause,[],[f403,f838]) ).
fof(f403,plain,
! [X0,X1] :
( sP4(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f836,plain,
spl33_61,
inference(avatar_split_clause,[],[f376,f834]) ).
fof(f834,plain,
( spl33_61
<=> ! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_61])]) ).
fof(f376,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardEmpty) ).
fof(f832,plain,
spl33_60,
inference(avatar_split_clause,[],[f375,f830]) ).
fof(f830,plain,
( spl33_60
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_60])]) ).
fof(f375,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f828,plain,
spl33_59,
inference(avatar_split_clause,[],[f366,f826]) ).
fof(f366,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f111,f210,f209]) ).
fof(f111,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefSImg) ).
fof(f824,plain,
spl33_58,
inference(avatar_split_clause,[],[f356,f822]) ).
fof(f356,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f110,f207,f206]) ).
fof(f110,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefRst) ).
fof(f817,plain,
spl33_57,
inference(avatar_split_clause,[],[f317,f814]) ).
fof(f814,plain,
( spl33_57
<=> xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_57])]) ).
fof(f317,plain,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f87]) ).
fof(f87,axiom,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__4007) ).
fof(f792,plain,
spl33_56,
inference(avatar_split_clause,[],[f482,f790]) ).
fof(f482,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f185,f223,f222]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f184]) ).
fof(f184,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefSel) ).
fof(f788,plain,
spl33_55,
inference(avatar_split_clause,[],[f398,f786]) ).
fof(f398,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardSeg) ).
fof(f784,plain,
spl33_54,
inference(avatar_split_clause,[],[f378,f782]) ).
fof(f378,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardNum) ).
fof(f780,plain,
spl33_53,
inference(avatar_split_clause,[],[f377,f778]) ).
fof(f778,plain,
( spl33_53
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_53])]) ).
fof(f377,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f776,plain,
spl33_52,
inference(avatar_split_clause,[],[f352,f774]) ).
fof(f774,plain,
( spl33_52
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_52])]) ).
fof(f352,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f770,plain,
spl33_51,
inference(avatar_split_clause,[],[f333,f768]) ).
fof(f333,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3671) ).
fof(f746,plain,
spl33_50,
inference(avatar_split_clause,[],[f444,f744]) ).
fof(f744,plain,
( spl33_50
<=> ! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_50])]) ).
fof(f444,plain,
! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f173,f216,f215]) ).
fof(f173,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefPtt) ).
fof(f742,plain,
spl33_49,
inference(avatar_split_clause,[],[f419,f740]) ).
fof(f419,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCountNFin_01) ).
fof(f738,plain,
spl33_48,
inference(avatar_split_clause,[],[f400,f736]) ).
fof(f736,plain,
( spl33_48
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_48])]) ).
fof(f400,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSuccNum) ).
fof(f734,plain,
spl33_47,
inference(avatar_split_clause,[],[f399,f732]) ).
fof(f399,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f730,plain,
spl33_46,
inference(avatar_split_clause,[],[f397,f728]) ).
fof(f397,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mLessSucc) ).
fof(f726,plain,
spl33_45,
inference(avatar_split_clause,[],[f396,f724]) ).
fof(f396,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mIH) ).
fof(f722,plain,
spl33_44,
inference(avatar_split_clause,[],[f395,f720]) ).
fof(f395,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mNoScLessZr) ).
fof(f718,plain,
spl33_43,
inference(avatar_split_clause,[],[f394,f716]) ).
fof(f394,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mNatNSucc) ).
fof(f714,plain,
( spl33_42
| ~ spl33_11
| ~ spl33_24 ),
inference(avatar_split_clause,[],[f622,f611,f550,f711]) ).
fof(f711,plain,
( spl33_42
<=> sP5(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_42])]) ).
fof(f622,plain,
( sP5(xi)
| ~ spl33_11
| ~ spl33_24 ),
inference(resolution,[],[f612,f552]) ).
fof(f709,plain,
spl33_41,
inference(avatar_split_clause,[],[f383,f707]) ).
fof(f383,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f705,plain,
spl33_40,
inference(avatar_split_clause,[],[f379,f703]) ).
fof(f379,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mEOfElem) ).
fof(f699,plain,
spl33_39,
inference(avatar_split_clause,[],[f334,f697]) ).
fof(f334,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f684,plain,
( spl33_38
| ~ spl33_14
| ~ spl33_24 ),
inference(avatar_split_clause,[],[f621,f611,f565,f681]) ).
fof(f681,plain,
( spl33_38
<=> sP5(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_38])]) ).
fof(f621,plain,
( sP5(xk)
| ~ spl33_14
| ~ spl33_24 ),
inference(resolution,[],[f612,f567]) ).
fof(f674,plain,
spl33_37,
inference(avatar_split_clause,[],[f475,f672]) ).
fof(f672,plain,
( spl33_37
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_37])]) ).
fof(f475,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f670,plain,
spl33_36,
inference(avatar_split_clause,[],[f437,f668]) ).
fof(f668,plain,
( spl33_36
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_36])]) ).
fof(f437,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f666,plain,
spl33_35,
inference(avatar_split_clause,[],[f432,f664]) ).
fof(f432,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f662,plain,
spl33_34,
inference(avatar_split_clause,[],[f418,f660]) ).
fof(f418,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCountNFin) ).
fof(f658,plain,
spl33_33,
inference(avatar_split_clause,[],[f393,f656]) ).
fof(f393,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mZeroLess) ).
fof(f654,plain,
spl33_32,
inference(avatar_split_clause,[],[f392,f652]) ).
fof(f392,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mLessRefl) ).
fof(f650,plain,
spl33_31,
inference(avatar_split_clause,[],[f391,f648]) ).
fof(f391,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSegFin) ).
fof(f646,plain,
( spl33_30
| ~ spl33_12
| ~ spl33_24 ),
inference(avatar_split_clause,[],[f620,f611,f555,f643]) ).
fof(f643,plain,
( spl33_30
<=> sP5(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f620,plain,
( sP5(xK)
| ~ spl33_12
| ~ spl33_24 ),
inference(resolution,[],[f612,f557]) ).
fof(f641,plain,
spl33_29,
inference(avatar_split_clause,[],[f359,f639]) ).
fof(f639,plain,
( spl33_29
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f359,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f637,plain,
spl33_28,
inference(avatar_split_clause,[],[f351,f635]) ).
fof(f635,plain,
( spl33_28
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f351,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f633,plain,
spl33_27,
inference(avatar_split_clause,[],[f321,f630]) ).
fof(f321,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3453) ).
fof(f628,plain,
spl33_26,
inference(avatar_split_clause,[],[f320,f625]) ).
fof(f320,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f617,plain,
spl33_25,
inference(avatar_split_clause,[],[f431,f615]) ).
fof(f431,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f613,plain,
spl33_24,
inference(avatar_split_clause,[],[f412,f611]) ).
fof(f412,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f146,f213,f212]) ).
fof(f146,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/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDefSeg) ).
fof(f609,plain,
spl33_23,
inference(avatar_split_clause,[],[f405,f607]) ).
fof(f607,plain,
( spl33_23
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f405,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f605,plain,
spl33_22,
inference(avatar_split_clause,[],[f374,f603]) ).
fof(f374,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSubRefl) ).
fof(f601,plain,
spl33_21,
inference(avatar_split_clause,[],[f373,f599]) ).
fof(f599,plain,
( spl33_21
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f373,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mCardS) ).
fof(f597,plain,
spl33_20,
inference(avatar_split_clause,[],[f346,f595]) ).
fof(f595,plain,
( spl33_20
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f346,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mDomSet) ).
fof(f593,plain,
spl33_19,
inference(avatar_split_clause,[],[f324,f590]) ).
fof(f324,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f99]) ).
fof(f588,plain,
spl33_18,
inference(avatar_split_clause,[],[f343,f585]) ).
fof(f343,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mSegZero) ).
fof(f583,plain,
spl33_17,
inference(avatar_split_clause,[],[f332,f580]) ).
fof(f332,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3533) ).
fof(f578,plain,
spl33_16,
inference(avatar_split_clause,[],[f323,f575]) ).
fof(f323,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f99]) ).
fof(f573,plain,
spl33_15,
inference(avatar_split_clause,[],[f342,f570]) ).
fof(f342,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mZeroNum) ).
fof(f568,plain,
spl33_14,
inference(avatar_split_clause,[],[f331,f565]) ).
fof(f331,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f563,plain,
spl33_13,
inference(avatar_split_clause,[],[f329,f560]) ).
fof(f329,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3435) ).
fof(f558,plain,
spl33_12,
inference(avatar_split_clause,[],[f316,f555]) ).
fof(f316,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3418) ).
fof(f553,plain,
spl33_11,
inference(avatar_split_clause,[],[f315,f550]) ).
fof(f315,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3989) ).
fof(f548,plain,
~ spl33_10,
inference(avatar_split_clause,[],[f313,f545]) ).
fof(f313,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3520) ).
fof(f543,plain,
spl33_9,
inference(avatar_split_clause,[],[f345,f540]) ).
fof(f345,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mNATSet) ).
fof(f538,plain,
spl33_8,
inference(avatar_split_clause,[],[f344,f535]) ).
fof(f344,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f533,plain,
spl33_7,
inference(avatar_split_clause,[],[f341,f530]) ).
fof(f530,plain,
( spl33_7
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f341,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',mEmpFin) ).
fof(f528,plain,
spl33_6,
inference(avatar_split_clause,[],[f330,f525]) ).
fof(f330,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f523,plain,
spl33_5,
inference(avatar_split_clause,[],[f328,f520]) ).
fof(f328,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__3291) ).
fof(f518,plain,
spl33_4,
inference(avatar_split_clause,[],[f327,f515]) ).
fof(f327,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f513,plain,
spl33_3,
inference(avatar_split_clause,[],[f322,f510]) ).
fof(f322,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f99]) ).
fof(f508,plain,
spl33_2,
inference(avatar_split_clause,[],[f319,f505]) ).
fof(f505,plain,
( spl33_2
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f319,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f503,plain,
~ spl33_1,
inference(avatar_split_clause,[],[f312,f500]) ).
fof(f312,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(flattening,[],[f89]) ).
fof(f89,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/tmp/tmp.RErZjUDvab/Vampire---4.8_24017',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 15:34:57 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.43 % (24283)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (24285)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.44 % (24284)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.44 % (24287)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.44 % (24286)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.44 % (24288)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.44 % (24289)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.44 % (24290)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.45 TRYING [1]
% 0.23/0.45 TRYING [1]
% 0.23/0.45 TRYING [2]
% 0.23/0.45 TRYING [2]
% 0.23/0.46 TRYING [3]
% 0.23/0.47 TRYING [3]
% 0.23/0.48 TRYING [1]
% 0.23/0.48 TRYING [2]
% 0.23/0.50 TRYING [3]
% 0.23/0.53 TRYING [4]
% 0.23/0.54 % (24288)First to succeed.
% 0.23/0.55 TRYING [4]
% 0.23/0.55 % (24288)Refutation found. Thanks to Tanya!
% 0.23/0.55 % SZS status Theorem for Vampire---4
% 0.23/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.56 % (24288)------------------------------
% 0.23/0.56 % (24288)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.56 % (24288)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.56 % (24288)Termination reason: Refutation
% 0.23/0.56
% 0.23/0.56 % (24288)Memory used [KB]: 8699
% 0.23/0.56 % (24288)Time elapsed: 0.118 s
% 0.23/0.56 % (24288)------------------------------
% 0.23/0.56 % (24288)------------------------------
% 0.23/0.56 % (24283)Success in time 0.185 s
% 0.23/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------