TSTP Solution File: NUM582+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:39:08 EDT 2024
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 494
% Syntax : Number of formulae : 1601 ( 219 unt; 0 def)
% Number of atoms : 6206 ( 699 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 7909 (3304 ~;3526 |; 492 &)
% ( 459 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 405 ( 403 usr; 383 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 11 con; 0-3 aty)
% Number of variables : 2138 (2048 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4370,plain,
$false,
inference(avatar_sat_refutation,[],[f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f608,f613,f618,f623,f628,f633,f637,f641,f645,f649,f653,f663,f668,f673,f677,f681,f685,f689,f693,f697,f701,f705,f710,f715,f720,f740,f746,f752,f756,f760,f764,f768,f772,f776,f780,f784,f788,f811,f817,f821,f825,f829,f833,f837,f841,f845,f872,f879,f886,f890,f894,f898,f902,f906,f910,f914,f918,f922,f926,f930,f934,f938,f942,f949,f984,f992,f996,f1000,f1004,f1008,f1012,f1017,f1021,f1025,f1029,f1033,f1037,f1041,f1045,f1049,f1056,f1090,f1100,f1104,f1108,f1112,f1116,f1120,f1142,f1153,f1158,f1162,f1166,f1170,f1175,f1179,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1218,f1264,f1280,f1284,f1288,f1292,f1296,f1300,f1304,f1308,f1312,f1336,f1340,f1344,f1348,f1352,f1356,f1360,f1364,f1368,f1426,f1430,f1434,f1438,f1442,f1446,f1450,f1454,f1458,f1462,f1466,f1470,f1474,f1478,f1482,f1599,f1611,f1615,f1619,f1679,f1686,f1690,f1695,f1699,f1703,f1707,f1751,f1759,f1763,f1767,f1771,f1775,f1779,f1783,f1815,f1912,f1916,f1962,f1966,f1970,f1974,f2016,f2020,f2029,f2033,f2058,f2062,f2098,f2102,f2122,f2133,f2137,f2141,f2157,f2161,f2175,f2180,f2184,f2191,f2195,f2201,f2206,f2207,f2212,f2217,f2222,f2227,f2232,f2236,f2240,f2244,f2272,f2277,f2285,f2291,f2296,f2301,f2306,f2312,f2350,f2355,f2360,f2368,f2372,f2376,f2380,f2384,f2388,f2392,f2396,f2401,f2421,f2440,f2451,f2467,f2472,f2500,f2501,f2535,f2559,f2565,f2592,f2596,f2636,f2641,f2666,f2670,f2675,f2684,f2688,f2726,f2731,f2737,f2743,f2748,f2761,f2770,f2775,f2784,f2792,f2796,f2800,f2804,f2808,f2812,f2816,f2821,f2825,f2830,f2867,f2871,f2876,f2880,f2884,f2888,f2889,f2896,f2905,f2910,f2914,f2926,f2941,f2991,f3046,f3050,f3056,f3063,f3067,f3071,f3075,f3090,f3098,f3102,f3106,f3111,f3118,f3122,f3126,f3143,f3147,f3151,f3295,f3299,f3331,f3340,f3345,f3349,f3353,f3357,f3361,f3366,f3406,f3410,f3414,f3418,f3423,f3431,f3435,f3439,f3444,f3455,f3459,f3463,f3477,f3481,f3614,f3620,f3660,f3668,f3678,f3699,f3708,f3713,f3732,f3736,f3740,f3744,f3749,f3753,f3757,f3762,f3768,f3798,f3830,f3917,f3955,f3961,f3966,f3975,f3985,f3999,f4011,f4025,f4030,f4035,f4054,f4058,f4062,f4066,f4070,f4090,f4100,f4110,f4117,f4136,f4140,f4246,f4279,f4289,f4293,f4305,f4309,f4313,f4317,f4321,f4364,f4368,f4369]) ).
fof(f4369,plain,
( ~ spl33_122
| ~ spl33_12
| spl33_1
| ~ spl33_375 ),
inference(avatar_split_clause,[],[f4294,f4291,f526,f581,f1261]) ).
fof(f1261,plain,
( spl33_122
<=> sdtlseqdt0(sz00,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_122])]) ).
fof(f581,plain,
( spl33_12
<=> aElementOf0(xi,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f526,plain,
( spl33_1
<=> aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f4291,plain,
( spl33_375
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_375])]) ).
fof(f4294,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(sz00,xi)
| spl33_1
| ~ spl33_375 ),
inference(resolution,[],[f4292,f528]) ).
fof(f528,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| spl33_1 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f4292,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl33_375 ),
inference(avatar_component_clause,[],[f4291]) ).
fof(f4368,plain,
( ~ spl33_8
| spl33_382
| ~ spl33_34
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1243,f1177,f687,f4366,f561]) ).
fof(f561,plain,
( spl33_8
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f4366,plain,
( spl33_382
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sdtlseqdt0(sK20(X0,szNzAzT0),sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_382])]) ).
fof(f687,plain,
( spl33_34
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f1177,plain,
( spl33_112
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_112])]) ).
fof(f1243,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sK20(X0,szNzAzT0),sK20(X0,szNzAzT0)) )
| ~ spl33_34
| ~ spl33_112 ),
inference(resolution,[],[f1178,f688]) ).
fof(f688,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f1178,plain,
( ! [X0,X1] :
( aElementOf0(sK20(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_112 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f4364,plain,
( spl33_381
| ~ spl33_72
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f1233,f1164,f912,f4362]) ).
fof(f4362,plain,
( spl33_381
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_381])]) ).
fof(f912,plain,
( spl33_72
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_72])]) ).
fof(f1164,plain,
( spl33_109
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_109])]) ).
fof(f1233,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl33_72
| ~ spl33_109 ),
inference(duplicate_literal_removal,[],[f1221]) ).
fof(f1221,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK26(X0)),sK26(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl33_72
| ~ spl33_109 ),
inference(resolution,[],[f1165,f913]) ).
fof(f913,plain,
( ! [X0] :
( aElementOf0(sK26(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl33_72 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1165,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl33_109 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f4321,plain,
( ~ spl33_8
| spl33_380
| ~ spl33_50
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f1224,f1164,f774,f4319,f561]) ).
fof(f4319,plain,
( spl33_380
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_380])]) ).
fof(f774,plain,
( spl33_50
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_50])]) ).
fof(f1224,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50
| ~ spl33_109 ),
inference(resolution,[],[f1165,f775]) ).
fof(f775,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f4317,plain,
( spl33_379
| ~ spl33_50
| ~ spl33_100 ),
inference(avatar_split_clause,[],[f1129,f1102,f774,f4315]) ).
fof(f4315,plain,
( spl33_379
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_379])]) ).
fof(f1102,plain,
( spl33_100
<=> ! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_100])]) ).
fof(f1129,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK21(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50
| ~ spl33_100 ),
inference(resolution,[],[f1103,f775]) ).
fof(f1103,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK21(X0)) = X0 )
| ~ spl33_100 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f4313,plain,
( spl33_378
| ~ spl33_70
| ~ spl33_91 ),
inference(avatar_split_clause,[],[f1071,f1027,f904,f4311]) ).
fof(f4311,plain,
( spl33_378
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_378])]) ).
fof(f904,plain,
( spl33_70
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_70])]) ).
fof(f1027,plain,
( spl33_91
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_91])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_70
| ~ spl33_91 ),
inference(resolution,[],[f1028,f905]) ).
fof(f905,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_70 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f1028,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl33_91 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f4309,plain,
( spl33_377
| ~ spl33_36
| ~ spl33_86 ),
inference(avatar_split_clause,[],[f1058,f1006,f695,f4307]) ).
fof(f4307,plain,
( spl33_377
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_377])]) ).
fof(f695,plain,
( spl33_36
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_36])]) ).
fof(f1006,plain,
( spl33_86
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_86])]) ).
fof(f1058,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl33_36
| ~ spl33_86 ),
inference(resolution,[],[f1007,f696]) ).
fof(f696,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_36 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f1007,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_86 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f4305,plain,
( spl33_376
| ~ spl33_36
| ~ spl33_85 ),
inference(avatar_split_clause,[],[f1057,f1002,f695,f4303]) ).
fof(f4303,plain,
( spl33_376
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_376])]) ).
fof(f1002,plain,
( spl33_85
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_85])]) ).
fof(f1057,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl33_36
| ~ spl33_85 ),
inference(resolution,[],[f1003,f696]) ).
fof(f1003,plain,
( ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_85 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f4293,plain,
( ~ spl33_16
| spl33_375
| ~ spl33_22
| ~ spl33_156 ),
inference(avatar_split_clause,[],[f1606,f1597,f630,f4291,f601]) ).
fof(f601,plain,
( spl33_16
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f630,plain,
( spl33_22
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f1597,plain,
( spl33_156
<=> ! [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_156])]) ).
fof(f1606,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_22
| ~ spl33_156 ),
inference(superposition,[],[f1598,f632]) ).
fof(f632,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl33_22 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1598,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_156 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f4289,plain,
( spl33_374
| ~ spl33_17
| ~ spl33_346 ),
inference(avatar_split_clause,[],[f3772,f3766,f606,f4287]) ).
fof(f4287,plain,
( spl33_374
<=> ! [X0] : sP2(X0,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_374])]) ).
fof(f606,plain,
( spl33_17
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f3766,plain,
( spl33_346
<=> ! [X0,X1] :
( aElementOf0(sK16(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_346])]) ).
fof(f3772,plain,
( ! [X0] : sP2(X0,slcrc0,slcrc0)
| ~ spl33_17
| ~ spl33_346 ),
inference(resolution,[],[f3767,f607]) ).
fof(f607,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl33_17 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f3767,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0) )
| ~ spl33_346 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f4279,plain,
( ~ spl33_16
| spl33_373
| ~ spl33_22
| ~ spl33_156 ),
inference(avatar_split_clause,[],[f1605,f1597,f630,f4277,f601]) ).
fof(f4277,plain,
( spl33_373
<=> ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_373])]) ).
fof(f1605,plain,
( ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_22
| ~ spl33_156 ),
inference(superposition,[],[f1598,f632]) ).
fof(f4246,plain,
( ~ spl33_15
| spl33_372
| ~ spl33_19
| ~ spl33_151 ),
inference(avatar_split_clause,[],[f1579,f1464,f615,f4244,f596]) ).
fof(f596,plain,
( spl33_15
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f4244,plain,
( spl33_372
<=> ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_372])]) ).
fof(f615,plain,
( spl33_19
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f1464,plain,
( spl33_151
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_151])]) ).
fof(f1579,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_19
| ~ spl33_151 ),
inference(superposition,[],[f1465,f617]) ).
fof(f617,plain,
( xK = szszuzczcdt0(xk)
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f1465,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_151 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f4140,plain,
( spl33_371
| ~ spl33_17
| ~ spl33_302 ),
inference(avatar_split_clause,[],[f3230,f3141,f606,f4138]) ).
fof(f4138,plain,
( spl33_371
<=> ! [X0] : sP9(X0,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_371])]) ).
fof(f3141,plain,
( spl33_302
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,slcrc0),X1)
| sP9(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_302])]) ).
fof(f3230,plain,
( ! [X0] : sP9(X0,slcrc0,slcrc0)
| ~ spl33_17
| ~ spl33_302 ),
inference(resolution,[],[f3142,f607]) ).
fof(f3142,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,slcrc0),X1)
| sP9(X0,X1,slcrc0) )
| ~ spl33_302 ),
inference(avatar_component_clause,[],[f3141]) ).
fof(f4136,plain,
( ~ spl33_10
| spl33_370
| ~ spl33_17
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1942,f1914,f606,f4134,f571]) ).
fof(f571,plain,
( spl33_10
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f4134,plain,
( spl33_370
<=> ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,slcrc0)) = X0
| sP10(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_370])]) ).
fof(f1914,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(f1942,plain,
( ! [X0,X1] :
( sbrdtbr0(sK32(X0,X1,slcrc0)) = X0
| sP10(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_17
| ~ spl33_177 ),
inference(resolution,[],[f1915,f607]) ).
fof(f1915,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| sP10(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_177 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f4117,plain,
( ~ spl33_10
| ~ spl33_7
| spl33_369
| ~ spl33_17
| ~ spl33_40
| ~ spl33_164 ),
inference(avatar_split_clause,[],[f1736,f1697,f712,f606,f4115,f556,f571]) ).
fof(f556,plain,
( spl33_7
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f4115,plain,
( spl33_369
<=> ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_369])]) ).
fof(f712,plain,
( spl33_40
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_40])]) ).
fof(f1697,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(f1736,plain,
( ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_17
| ~ spl33_40
| ~ spl33_164 ),
inference(forward_demodulation,[],[f1721,f714]) ).
fof(f714,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl33_40 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1721,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sbrdtbr0(slcrc0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_17
| ~ spl33_164 ),
inference(resolution,[],[f1698,f607]) ).
fof(f1698,plain,
( ! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_164 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f4110,plain,
( ~ spl33_16
| spl33_368
| ~ spl33_20
| ~ spl33_140 ),
inference(avatar_split_clause,[],[f1420,f1366,f620,f4108,f601]) ).
fof(f4108,plain,
( spl33_368
<=> ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_368])]) ).
fof(f620,plain,
( spl33_20
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f1366,plain,
( spl33_140
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_140])]) ).
fof(f1420,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_140 ),
inference(superposition,[],[f1367,f622]) ).
fof(f622,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl33_20 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f1367,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_140 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f4100,plain,
( ~ spl33_16
| spl33_367
| ~ spl33_20
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1415,f1362,f620,f4098,f601]) ).
fof(f4098,plain,
( spl33_367
<=> ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_367])]) ).
fof(f1362,plain,
( spl33_139
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_139])]) ).
fof(f1415,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_20
| ~ spl33_139 ),
inference(superposition,[],[f1363,f622]) ).
fof(f1363,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_139 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f4090,plain,
( ~ spl33_16
| spl33_366
| ~ spl33_20
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1414,f1362,f620,f4088,f601]) ).
fof(f4088,plain,
( spl33_366
<=> ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_366])]) ).
fof(f1414,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl33_20
| ~ spl33_139 ),
inference(superposition,[],[f1363,f622]) ).
fof(f4070,plain,
( ~ spl33_8
| spl33_365
| ~ spl33_27
| ~ spl33_135 ),
inference(avatar_split_clause,[],[f1381,f1346,f651,f4068,f561]) ).
fof(f4068,plain,
( spl33_365
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sP5(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_365])]) ).
fof(f651,plain,
( spl33_27
<=> ! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f1346,plain,
( spl33_135
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_135])]) ).
fof(f1381,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP5(X0) )
| ~ spl33_27
| ~ spl33_135 ),
inference(resolution,[],[f1347,f652]) ).
fof(f652,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(X0) )
| ~ spl33_27 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f1347,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl33_135 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f4066,plain,
( spl33_364
| ~ spl33_44
| ~ spl33_120 ),
inference(avatar_split_clause,[],[f1267,f1209,f750,f4064]) ).
fof(f4064,plain,
( spl33_364
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_364])]) ).
fof(f750,plain,
( spl33_44
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_44])]) ).
fof(f1209,plain,
( spl33_120
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_120])]) ).
fof(f1267,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) )
| ~ spl33_44
| ~ spl33_120 ),
inference(resolution,[],[f1210,f751]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_44 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1210,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_120 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f4062,plain,
( spl33_363
| ~ spl33_76
| ~ spl33_119 ),
inference(avatar_split_clause,[],[f1265,f1205,f928,f4060]) ).
fof(f4060,plain,
( spl33_363
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP3(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_363])]) ).
fof(f928,plain,
( spl33_76
<=> ! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_76])]) ).
fof(f1205,plain,
( spl33_119
<=> ! [X0,X7,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_119])]) ).
fof(f1265,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP3(X1,X2) )
| ~ spl33_76
| ~ spl33_119 ),
inference(resolution,[],[f1206,f929]) ).
fof(f929,plain,
( ! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) )
| ~ spl33_76 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f1206,plain,
( ! [X2,X0,X1,X7] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),X2) )
| ~ spl33_119 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f4058,plain,
( spl33_362
| ~ spl33_77
| ~ spl33_116 ),
inference(avatar_split_clause,[],[f1256,f1193,f932,f4056]) ).
fof(f4056,plain,
( spl33_362
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_362])]) ).
fof(f932,plain,
( spl33_77
<=> ! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_77])]) ).
fof(f1193,plain,
( spl33_116
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_116])]) ).
fof(f1256,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(X1,X2) )
| ~ spl33_77
| ~ spl33_116 ),
inference(resolution,[],[f1194,f933]) ).
fof(f933,plain,
( ! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl33_77 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1194,plain,
( ! [X2,X0,X1,X4] :
( ~ sP6(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl33_116 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f4054,plain,
( spl33_361
| ~ spl33_79
| ~ spl33_104 ),
inference(avatar_split_clause,[],[f1146,f1118,f940,f4052]) ).
fof(f4052,plain,
( spl33_361
<=> ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP11(X1,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_361])]) ).
fof(f940,plain,
( spl33_79
<=> ! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_79])]) ).
fof(f1118,plain,
( spl33_104
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_104])]) ).
fof(f1146,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP11(X1,sbrdtbr0(X0)) )
| ~ spl33_79
| ~ spl33_104 ),
inference(resolution,[],[f1119,f941]) ).
fof(f941,plain,
( ! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl33_79 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1119,plain,
( ! [X2,X1,X4] :
( ~ sP10(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl33_104 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f4035,plain,
( spl33_360
| ~ spl33_281
| spl33_252
| ~ spl33_58
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1080,f1039,f827,f2681,f2902,f4032]) ).
fof(f4032,plain,
( spl33_360
<=> szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_360])]) ).
fof(f2902,plain,
( spl33_281
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_281])]) ).
fof(f2681,plain,
( spl33_252
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_252])]) ).
fof(f827,plain,
( spl33_58
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_58])]) ).
fof(f1039,plain,
( spl33_94
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_94])]) ).
fof(f1080,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl33_58
| ~ spl33_94 ),
inference(resolution,[],[f1040,f828]) ).
fof(f828,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl33_58 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1040,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_94 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f4030,plain,
( spl33_359
| ~ spl33_58
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1060,f1010,f827,f4028]) ).
fof(f4028,plain,
( spl33_359
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK21(X0) = sbrdtbr0(slbdtrb0(sK21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_359])]) ).
fof(f1010,plain,
( spl33_87
<=> ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_87])]) ).
fof(f1060,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK21(X0) = sbrdtbr0(slbdtrb0(sK21(X0))) )
| ~ spl33_58
| ~ spl33_87 ),
inference(resolution,[],[f1011,f828]) ).
fof(f1011,plain,
( ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_87 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f4025,plain,
( ~ spl33_16
| spl33_358
| ~ spl33_6
| ~ spl33_14
| ~ spl33_22
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1681,f1677,f630,f591,f551,f4022,f601]) ).
fof(f4022,plain,
( spl33_358
<=> isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_358])]) ).
fof(f551,plain,
( spl33_6
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f591,plain,
( spl33_14
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f1677,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(f1681,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isCountable0(xS)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl33_22
| ~ spl33_160 ),
inference(superposition,[],[f1678,f632]) ).
fof(f1678,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,[],[f1677]) ).
fof(f4011,plain,
( ~ spl33_15
| spl33_357
| ~ spl33_19
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1406,f1358,f615,f4009,f596]) ).
fof(f4009,plain,
( spl33_357
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_357])]) ).
fof(f1358,plain,
( spl33_138
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_138])]) ).
fof(f1406,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_19
| ~ spl33_138 ),
inference(superposition,[],[f1359,f617]) ).
fof(f1359,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_138 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f3999,plain,
( ~ spl33_15
| spl33_356
| ~ spl33_19
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1405,f1358,f615,f3997,f596]) ).
fof(f3997,plain,
( spl33_356
<=> ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_356])]) ).
fof(f1405,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_19
| ~ spl33_138 ),
inference(superposition,[],[f1359,f617]) ).
fof(f3985,plain,
( ~ spl33_15
| spl33_355
| ~ spl33_19
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1400,f1354,f615,f3983,f596]) ).
fof(f3983,plain,
( spl33_355
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_355])]) ).
fof(f1354,plain,
( spl33_137
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_137])]) ).
fof(f1400,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_19
| ~ spl33_137 ),
inference(superposition,[],[f1355,f617]) ).
fof(f1355,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_137 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f3975,plain,
( ~ spl33_15
| spl33_354
| ~ spl33_19
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1399,f1354,f615,f3973,f596]) ).
fof(f3973,plain,
( spl33_354
<=> ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_354])]) ).
fof(f1399,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_19
| ~ spl33_137 ),
inference(superposition,[],[f1355,f617]) ).
fof(f3966,plain,
( ~ spl33_15
| spl33_353
| ~ spl33_19
| ~ spl33_136 ),
inference(avatar_split_clause,[],[f1394,f1350,f615,f3964,f596]) ).
fof(f3964,plain,
( spl33_353
<=> ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_353])]) ).
fof(f1350,plain,
( spl33_136
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_136])]) ).
fof(f1394,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_19
| ~ spl33_136 ),
inference(superposition,[],[f1351,f617]) ).
fof(f1351,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_136 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f3961,plain,
( ~ spl33_184
| ~ spl33_6
| ~ spl33_13
| spl33_11
| spl33_352
| ~ spl33_28
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1377,f1342,f660,f3958,f576,f586,f551,f2022]) ).
fof(f2022,plain,
( spl33_184
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_184])]) ).
fof(f586,plain,
( spl33_13
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f576,plain,
( spl33_11
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f3958,plain,
( spl33_352
<=> isCountable0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_352])]) ).
fof(f660,plain,
( spl33_28
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f1342,plain,
( spl33_134
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_134])]) ).
fof(f1377,plain,
( isCountable0(szDzozmdt0(xc))
| sz00 = xK
| ~ aElementOf0(xK,szNzAzT0)
| ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ spl33_28
| ~ spl33_134 ),
inference(superposition,[],[f1343,f662]) ).
fof(f662,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f1343,plain,
( ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) )
| ~ spl33_134 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f3955,plain,
( ~ spl33_350
| spl33_351
| ~ spl33_44
| ~ spl33_106 ),
inference(avatar_split_clause,[],[f1154,f1150,f750,f3952,f3948]) ).
fof(f3948,plain,
( spl33_350
<=> aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_350])]) ).
fof(f3952,plain,
( spl33_351
<=> aElement0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_351])]) ).
fof(f1150,plain,
( spl33_106
<=> aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_106])]) ).
fof(f1154,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl33_44
| ~ spl33_106 ),
inference(resolution,[],[f1152,f751]) ).
fof(f1152,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl33_106 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f3917,plain,
( ~ spl33_8
| spl33_349
| ~ spl33_54
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1123,f1098,f809,f3915,f561]) ).
fof(f3915,plain,
( spl33_349
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_349])]) ).
fof(f809,plain,
( spl33_54
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_54])]) ).
fof(f1098,plain,
( spl33_99
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_99])]) ).
fof(f1123,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_54
| ~ spl33_99 ),
inference(resolution,[],[f1099,f810]) ).
fof(f810,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_54 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f1099,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl33_99 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f3830,plain,
( spl33_348
| ~ spl33_16
| ~ spl33_245 ),
inference(avatar_split_clause,[],[f2597,f2594,f601,f3827]) ).
fof(f3827,plain,
( spl33_348
<=> aElement0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_348])]) ).
fof(f2594,plain,
( spl33_245
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_245])]) ).
fof(f2597,plain,
( aElement0(szszuzczcdt0(sz00))
| ~ spl33_16
| ~ spl33_245 ),
inference(resolution,[],[f2595,f603]) ).
fof(f603,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f2595,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) )
| ~ spl33_245 ),
inference(avatar_component_clause,[],[f2594]) ).
fof(f3798,plain,
( ~ spl33_10
| spl33_347
| ~ spl33_17
| ~ spl33_172 ),
inference(avatar_split_clause,[],[f1858,f1773,f606,f3796,f571]) ).
fof(f3796,plain,
( spl33_347
<=> ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,slcrc0),X1)
| sP10(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_347])]) ).
fof(f1773,plain,
( spl33_172
<=> ! [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_172])]) ).
fof(f1858,plain,
( ! [X0,X1] :
( aSubsetOf0(sK32(X0,X1,slcrc0),X1)
| sP10(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_17
| ~ spl33_172 ),
inference(resolution,[],[f1774,f607]) ).
fof(f1774,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| sP10(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_172 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f3768,plain,
( ~ spl33_10
| spl33_346
| ~ spl33_17
| ~ spl33_168 ),
inference(avatar_split_clause,[],[f1799,f1757,f606,f3766,f571]) ).
fof(f1757,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(f1799,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_17
| ~ spl33_168 ),
inference(resolution,[],[f1758,f607]) ).
fof(f1758,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_168 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f3762,plain,
( ~ spl33_8
| spl33_345
| ~ spl33_35
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1244,f1177,f691,f3760,f561]) ).
fof(f3760,plain,
( spl33_345
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sdtlseqdt0(sz00,sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_345])]) ).
fof(f691,plain,
( spl33_35
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_35])]) ).
fof(f1244,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sK20(X0,szNzAzT0)) )
| ~ spl33_35
| ~ spl33_112 ),
inference(resolution,[],[f1178,f692]) ).
fof(f692,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl33_35 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f3757,plain,
( ~ spl33_8
| spl33_344
| ~ spl33_33
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1242,f1177,f683,f3755,f561]) ).
fof(f3755,plain,
( spl33_344
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| isFinite0(slbdtrb0(sK20(X0,szNzAzT0)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_344])]) ).
fof(f683,plain,
( spl33_33
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f1242,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sK20(X0,szNzAzT0))) )
| ~ spl33_33
| ~ spl33_112 ),
inference(resolution,[],[f1178,f684]) ).
fof(f684,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f3753,plain,
( spl33_343
| ~ spl33_79
| ~ spl33_103 ),
inference(avatar_split_clause,[],[f1145,f1114,f940,f3751]) ).
fof(f3751,plain,
( spl33_343
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP11(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_343])]) ).
fof(f1114,plain,
( spl33_103
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_103])]) ).
fof(f1145,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP11(X1,X2) )
| ~ spl33_79
| ~ spl33_103 ),
inference(resolution,[],[f1115,f941]) ).
fof(f1115,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 )
| ~ spl33_103 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f3749,plain,
( spl33_342
| ~ spl33_16
| ~ spl33_219 ),
inference(avatar_split_clause,[],[f2313,f2310,f601,f3746]) ).
fof(f3746,plain,
( spl33_342
<=> sP5(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_342])]) ).
fof(f2310,plain,
( spl33_219
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_219])]) ).
fof(f2313,plain,
( sP5(szszuzczcdt0(sz00))
| ~ spl33_16
| ~ spl33_219 ),
inference(resolution,[],[f2311,f603]) ).
fof(f2311,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(szszuzczcdt0(X0)) )
| ~ spl33_219 ),
inference(avatar_component_clause,[],[f2310]) ).
fof(f3744,plain,
( spl33_341
| ~ spl33_77
| ~ spl33_102 ),
inference(avatar_split_clause,[],[f1144,f1110,f932,f3742]) ).
fof(f3742,plain,
( spl33_341
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_341])]) ).
fof(f1110,plain,
( spl33_102
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_102])]) ).
fof(f1144,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP7(X1,X2) )
| ~ spl33_77
| ~ spl33_102 ),
inference(resolution,[],[f1111,f933]) ).
fof(f1111,plain,
( ! [X2,X0,X1,X4] :
( ~ sP6(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,szDzozmdt0(X1)) )
| ~ spl33_102 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f3740,plain,
( spl33_340
| ~ spl33_92
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1094,f1047,f1031,f3738]) ).
fof(f3738,plain,
( spl33_340
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_340])]) ).
fof(f1031,plain,
( spl33_92
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_92])]) ).
fof(f1047,plain,
( spl33_96
<=> ! [X0,X1] :
( sP9(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_96])]) ).
fof(f1094,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl33_92
| ~ spl33_96 ),
inference(resolution,[],[f1048,f1032]) ).
fof(f1032,plain,
( ! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl33_92 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1048,plain,
( ! [X0,X1] :
( sP9(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_96 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f3736,plain,
( spl33_339
| ~ spl33_281
| spl33_252
| ~ spl33_59
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1079,f1039,f831,f2681,f2902,f3734]) ).
fof(f3734,plain,
( spl33_339
<=> ! [X0] :
( sP11(X0,szmzizndt0(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_339])]) ).
fof(f831,plain,
( spl33_59
<=> ! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_59])]) ).
fof(f1079,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP11(X0,szmzizndt0(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_94 ),
inference(resolution,[],[f1040,f832]) ).
fof(f832,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP11(X0,X1)
| ~ aSet0(X0) )
| ~ spl33_59 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f3732,plain,
( spl33_338
| ~ spl33_59
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1059,f1010,f831,f3730]) ).
fof(f3730,plain,
( spl33_338
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(X1,sK21(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_338])]) ).
fof(f1059,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP11(X1,sK21(X0))
| ~ aSet0(X1) )
| ~ spl33_59
| ~ spl33_87 ),
inference(resolution,[],[f1011,f832]) ).
fof(f3713,plain,
( spl33_337
| ~ spl33_8
| spl33_252
| ~ spl33_58
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f971,f912,f827,f2681,f561,f3710]) ).
fof(f3710,plain,
( spl33_337
<=> sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_337])]) ).
fof(f971,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sK26(szNzAzT0) = sbrdtbr0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_58
| ~ spl33_72 ),
inference(resolution,[],[f913,f828]) ).
fof(f3708,plain,
( spl33_336
| ~ spl33_58
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f963,f908,f827,f3706]) ).
fof(f3706,plain,
( spl33_336
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK24(X0) = sbrdtbr0(slbdtrb0(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_336])]) ).
fof(f908,plain,
( spl33_71
<=> ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_71])]) ).
fof(f963,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK24(X0) = sbrdtbr0(slbdtrb0(sK24(X0))) )
| ~ spl33_58
| ~ spl33_71 ),
inference(resolution,[],[f909,f828]) ).
fof(f909,plain,
( ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_71 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f3699,plain,
( spl33_335
| ~ spl33_54
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1682,f1677,f809,f3697]) ).
fof(f3697,plain,
( spl33_335
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_335])]) ).
fof(f1682,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_54
| ~ spl33_160 ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1680,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_54
| ~ spl33_160 ),
inference(resolution,[],[f1678,f810]) ).
fof(f3678,plain,
( ~ spl33_3
| spl33_334
| ~ spl33_18
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1592,f1472,f610,f3676,f536]) ).
fof(f536,plain,
( spl33_3
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f3676,plain,
( spl33_334
<=> ! [X0] :
( aElementOf0(sK14(xN,X0,szNzAzT0),szNzAzT0)
| sP0(xN,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_334])]) ).
fof(f610,plain,
( spl33_18
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f1472,plain,
( spl33_153
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_153])]) ).
fof(f1592,plain,
( ! [X0] :
( aElementOf0(sK14(xN,X0,szNzAzT0),szNzAzT0)
| sP0(xN,X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl33_18
| ~ spl33_153 ),
inference(superposition,[],[f1473,f612]) ).
fof(f612,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f1473,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_153 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f3668,plain,
( ~ spl33_184
| ~ spl33_8
| spl33_333
| ~ spl33_14
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1586,f1468,f591,f3666,f561,f2022]) ).
fof(f3666,plain,
( spl33_333
<=> ! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_333])]) ).
fof(f1468,plain,
( spl33_152
<=> ! [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_152])]) ).
fof(f1586,plain,
( ! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(X0) )
| ~ spl33_14
| ~ spl33_152 ),
inference(resolution,[],[f1469,f593]) ).
fof(f593,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f1469,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_152 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f3660,plain,
( ~ spl33_3
| spl33_332
| ~ spl33_18
| ~ spl33_133 ),
inference(avatar_split_clause,[],[f1373,f1338,f610,f3658,f536]) ).
fof(f3658,plain,
( spl33_332
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_332])]) ).
fof(f1338,plain,
( spl33_133
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_133])]) ).
fof(f1373,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl33_18
| ~ spl33_133 ),
inference(superposition,[],[f1339,f612]) ).
fof(f1339,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_133 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f3620,plain,
( ~ spl33_15
| spl33_331
| ~ spl33_19
| ~ spl33_128 ),
inference(avatar_split_clause,[],[f1327,f1298,f615,f3618,f596]) ).
fof(f3618,plain,
( spl33_331
<=> ! [X0] :
( sdtlseqdt0(xK,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_331])]) ).
fof(f1298,plain,
( spl33_128
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_128])]) ).
fof(f1327,plain,
( ! [X0] :
( sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_19
| ~ spl33_128 ),
inference(superposition,[],[f1299,f617]) ).
fof(f1299,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_128 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f3614,plain,
( ~ spl33_15
| spl33_330
| ~ spl33_19
| ~ spl33_125 ),
inference(avatar_split_clause,[],[f1316,f1286,f615,f3612,f596]) ).
fof(f3612,plain,
( spl33_330
<=> ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| ~ sP4(X0,X1)
| aElementOf0(xk,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_330])]) ).
fof(f1286,plain,
( spl33_125
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_125])]) ).
fof(f1316,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ aElementOf0(xk,szNzAzT0)
| ~ sP4(X0,X1) )
| ~ spl33_19
| ~ spl33_125 ),
inference(superposition,[],[f1287,f617]) ).
fof(f1287,plain,
( ! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) )
| ~ spl33_125 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f3481,plain,
( spl33_329
| ~ spl33_44
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1559,f1452,f750,f3479]) ).
fof(f3479,plain,
( spl33_329
<=> ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_329])]) ).
fof(f1452,plain,
( spl33_148
<=> ! [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_148])]) ).
fof(f1559,plain,
( ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_44
| ~ spl33_148 ),
inference(duplicate_literal_removal,[],[f1549]) ).
fof(f1549,plain,
( ! [X2,X0,X1] :
( aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_44
| ~ spl33_148 ),
inference(resolution,[],[f1453,f751]) ).
fof(f1453,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK29(X0,X1,X2),X2)
| aElement0(sK29(X0,X1,X2))
| sP9(X0,X1,X2) )
| ~ spl33_148 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f3477,plain,
( spl33_328
| ~ spl33_44
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1543,f1440,f750,f3475]) ).
fof(f3475,plain,
( spl33_328
<=> ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_328])]) ).
fof(f1440,plain,
( spl33_145
<=> ! [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_145])]) ).
fof(f1543,plain,
( ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl33_44
| ~ spl33_145 ),
inference(duplicate_literal_removal,[],[f1533]) ).
fof(f1533,plain,
( ! [X2,X0,X1] :
( aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl33_44
| ~ spl33_145 ),
inference(resolution,[],[f1441,f751]) ).
fof(f1441,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X2)
| aElement0(sK28(X0,X1,X2))
| sP8(X0,X1,X2) )
| ~ spl33_145 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f3463,plain,
( ~ spl33_10
| spl33_327
| ~ spl33_17
| ~ spl33_135 ),
inference(avatar_split_clause,[],[f1380,f1346,f606,f3461,f571]) ).
fof(f3461,plain,
( spl33_327
<=> ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_327])]) ).
fof(f1380,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) )
| ~ spl33_17
| ~ spl33_135 ),
inference(resolution,[],[f1347,f607]) ).
fof(f3459,plain,
( spl33_326
| ~ spl33_44
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1249,f1177,f750,f3457]) ).
fof(f3457,plain,
( spl33_326
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK20(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_326])]) ).
fof(f1249,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK20(X1,X0)) )
| ~ spl33_44
| ~ spl33_112 ),
inference(duplicate_literal_removal,[],[f1239]) ).
fof(f1239,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK20(X1,X0))
| ~ aSet0(X0) )
| ~ spl33_44
| ~ spl33_112 ),
inference(resolution,[],[f1178,f751]) ).
fof(f3455,plain,
( ~ spl33_8
| spl33_325
| ~ spl33_27
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1241,f1177,f651,f3453,f561]) ).
fof(f3453,plain,
( spl33_325
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sP5(sK20(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_325])]) ).
fof(f1241,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP5(sK20(X0,szNzAzT0)) )
| ~ spl33_27
| ~ spl33_112 ),
inference(resolution,[],[f1178,f652]) ).
fof(f3444,plain,
( spl33_324
| ~ spl33_233
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2929,f2902,f2438,f3441]) ).
fof(f3441,plain,
( spl33_324
<=> sP1(szNzAzT0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_324])]) ).
fof(f2438,plain,
( spl33_233
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_233])]) ).
fof(f2929,plain,
( sP1(szNzAzT0,xN)
| ~ spl33_233
| ~ spl33_281 ),
inference(resolution,[],[f2903,f2439]) ).
fof(f2439,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN) )
| ~ spl33_233 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f2903,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl33_281 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f3439,plain,
( ~ spl33_10
| ~ spl33_7
| spl33_323
| ~ spl33_40
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f1236,f1168,f712,f3437,f556,f571]) ).
fof(f3437,plain,
( spl33_323
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_323])]) ).
fof(f1168,plain,
( spl33_110
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_110])]) ).
fof(f1236,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl33_40
| ~ spl33_110 ),
inference(superposition,[],[f1169,f714]) ).
fof(f1169,plain,
( ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_110 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f3435,plain,
( spl33_322
| ~ spl33_74
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1095,f1047,f920,f3433]) ).
fof(f3433,plain,
( spl33_322
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_322])]) ).
fof(f920,plain,
( spl33_74
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f1095,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) )
| ~ spl33_74
| ~ spl33_96 ),
inference(resolution,[],[f1048,f921]) ).
fof(f921,plain,
( ! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl33_74 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f3431,plain,
( spl33_321
| ~ spl33_73
| ~ spl33_95 ),
inference(avatar_split_clause,[],[f1092,f1043,f916,f3429]) ).
fof(f3429,plain,
( spl33_321
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_321])]) ).
fof(f916,plain,
( spl33_73
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_73])]) ).
fof(f1043,plain,
( spl33_95
<=> ! [X0,X1] :
( sP8(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_95])]) ).
fof(f1092,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) )
| ~ spl33_73
| ~ spl33_95 ),
inference(resolution,[],[f1044,f917]) ).
fof(f917,plain,
( ! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl33_73 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1044,plain,
( ! [X0,X1] :
( sP8(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl33_95 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f3423,plain,
( spl33_320
| ~ spl33_281
| spl33_252
| ~ spl33_34
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1082,f1039,f687,f2681,f2902,f3420]) ).
fof(f3420,plain,
( spl33_320
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_320])]) ).
fof(f1082,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(szmzizndt0(szNzAzT0),szmzizndt0(szNzAzT0))
| ~ spl33_34
| ~ spl33_94 ),
inference(resolution,[],[f1040,f688]) ).
fof(f3418,plain,
( spl33_319
| ~ spl33_44
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1077,f1039,f750,f3416]) ).
fof(f3416,plain,
( spl33_319
<=> ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_319])]) ).
fof(f1077,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) )
| ~ spl33_44
| ~ spl33_94 ),
inference(resolution,[],[f1040,f751]) ).
fof(f3414,plain,
( spl33_318
| ~ spl33_79
| ~ spl33_93 ),
inference(avatar_split_clause,[],[f1076,f1035,f940,f3412]) ).
fof(f3412,plain,
( spl33_318
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP11(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_318])]) ).
fof(f1035,plain,
( spl33_93
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_93])]) ).
fof(f1076,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP11(X1,X2) )
| ~ spl33_79
| ~ spl33_93 ),
inference(resolution,[],[f1036,f941]) ).
fof(f1036,plain,
( ! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) )
| ~ spl33_93 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f3410,plain,
( spl33_317
| ~ spl33_45
| ~ spl33_91 ),
inference(avatar_split_clause,[],[f1072,f1027,f754,f3408]) ).
fof(f3408,plain,
( spl33_317
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_317])]) ).
fof(f754,plain,
( spl33_45
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl33_45
| ~ spl33_91 ),
inference(resolution,[],[f1028,f755]) ).
fof(f755,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f3406,plain,
( spl33_316
| ~ spl33_45
| ~ spl33_90 ),
inference(avatar_split_clause,[],[f1068,f1023,f754,f3404]) ).
fof(f3404,plain,
( spl33_316
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_316])]) ).
fof(f1023,plain,
( spl33_90
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_90])]) ).
fof(f1068,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK24(X0))) )
| ~ spl33_45
| ~ spl33_90 ),
inference(resolution,[],[f1024,f755]) ).
fof(f1024,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl33_90 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f3366,plain,
( spl33_315
| ~ spl33_234
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2928,f2902,f2449,f3363]) ).
fof(f3363,plain,
( spl33_315
<=> sP3(szNzAzT0,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_315])]) ).
fof(f2449,plain,
( spl33_234
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_234])]) ).
fof(f2928,plain,
( sP3(szNzAzT0,xN)
| ~ spl33_234
| ~ spl33_281 ),
inference(resolution,[],[f2903,f2450]) ).
fof(f2450,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN) )
| ~ spl33_234 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f3361,plain,
( ~ spl33_8
| spl33_314
| ~ spl33_44
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1065,f1010,f750,f3359,f561]) ).
fof(f3359,plain,
( spl33_314
<=> ! [X0] :
( sz00 = X0
| aElement0(sK21(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_314])]) ).
fof(f1065,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK21(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_44
| ~ spl33_87 ),
inference(resolution,[],[f1011,f751]) ).
fof(f3357,plain,
( spl33_313
| ~ spl33_34
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1062,f1010,f687,f3355]) ).
fof(f3355,plain,
( spl33_313
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK21(X0),sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_313])]) ).
fof(f1062,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK21(X0),sK21(X0)) )
| ~ spl33_34
| ~ spl33_87 ),
inference(resolution,[],[f1011,f688]) ).
fof(f3353,plain,
( spl33_312
| ~ spl33_8
| spl33_252
| ~ spl33_59
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f970,f912,f831,f2681,f561,f3351]) ).
fof(f3351,plain,
( spl33_312
<=> ! [X0] :
( sP11(X0,sK26(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_312])]) ).
fof(f970,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP11(X0,sK26(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl33_59
| ~ spl33_72 ),
inference(resolution,[],[f913,f832]) ).
fof(f3349,plain,
( spl33_311
| ~ spl33_59
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f962,f908,f831,f3347]) ).
fof(f3347,plain,
( spl33_311
<=> ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X1,sK24(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_311])]) ).
fof(f962,plain,
( ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X1,sK24(X0))
| ~ aSet0(X1) )
| ~ spl33_59
| ~ spl33_71 ),
inference(resolution,[],[f909,f832]) ).
fof(f3345,plain,
( spl33_310
| ~ spl33_57
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f857,f827,f823,f3343]) ).
fof(f3343,plain,
( spl33_310
<=> ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_310])]) ).
fof(f823,plain,
( spl33_57
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_57])]) ).
fof(f857,plain,
( ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_57
| ~ spl33_58 ),
inference(resolution,[],[f828,f824]) ).
fof(f824,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_57 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f3340,plain,
( ~ spl33_3
| ~ spl33_9
| spl33_308
| ~ spl33_309
| ~ spl33_18
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1313,f1278,f610,f3337,f3333,f566,f536]) ).
fof(f566,plain,
( spl33_9
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f3333,plain,
( spl33_308
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_308])]) ).
fof(f3337,plain,
( spl33_309
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_309])]) ).
fof(f1278,plain,
( spl33_123
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_123])]) ).
fof(f1313,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xN)
| ~ spl33_18
| ~ spl33_123 ),
inference(superposition,[],[f1279,f612]) ).
fof(f1279,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_123 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f3331,plain,
( ~ spl33_184
| spl33_185
| ~ spl33_13
| ~ spl33_307
| ~ spl33_28
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f1253,f1185,f660,f3328,f586,f2026,f2022]) ).
fof(f2026,plain,
( spl33_185
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_185])]) ).
fof(f3328,plain,
( spl33_307
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_307])]) ).
fof(f1185,plain,
( spl33_114
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_114])]) ).
fof(f1253,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS)
| ~ spl33_28
| ~ spl33_114 ),
inference(superposition,[],[f1186,f662]) ).
fof(f1186,plain,
( ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_114 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f3299,plain,
( ~ spl33_4
| spl33_306
| ~ spl33_29
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1125,f1098,f665,f3297,f541]) ).
fof(f541,plain,
( spl33_4
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f3297,plain,
( spl33_306
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_306])]) ).
fof(f665,plain,
( spl33_29
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f1125,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT)
| ~ aSet0(xT) )
| ~ spl33_29
| ~ spl33_99 ),
inference(resolution,[],[f1099,f667]) ).
fof(f667,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl33_29 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f3295,plain,
( spl33_305
| ~ spl33_36
| ~ spl33_43 ),
inference(avatar_split_clause,[],[f747,f744,f695,f3293]) ).
fof(f3293,plain,
( spl33_305
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_305])]) ).
fof(f744,plain,
( spl33_43
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_43])]) ).
fof(f747,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl33_36
| ~ spl33_43 ),
inference(resolution,[],[f745,f696]) ).
fof(f745,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_43 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f3151,plain,
( spl33_304
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1663,f1613,f3149]) ).
fof(f3149,plain,
( spl33_304
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sP9(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_304])]) ).
fof(f1613,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(f1663,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,X1),X1)
| sP9(X0,X1,X1) )
| ~ spl33_158 ),
inference(factoring,[],[f1614]) ).
fof(f1614,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,[],[f1613]) ).
fof(f3147,plain,
( spl33_303
| ~ spl33_17
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1654,f1613,f606,f3145]) ).
fof(f3145,plain,
( spl33_303
<=> ! [X0,X1] :
( aElementOf0(sK29(X0,slcrc0,X1),X1)
| sP9(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_303])]) ).
fof(f1654,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,slcrc0,X1),X1)
| sP9(X0,slcrc0,X1) )
| ~ spl33_17
| ~ spl33_158 ),
inference(resolution,[],[f1614,f607]) ).
fof(f3143,plain,
( spl33_302
| ~ spl33_17
| ~ spl33_158 ),
inference(avatar_split_clause,[],[f1642,f1613,f606,f3141]) ).
fof(f1642,plain,
( ! [X0,X1] :
( aElementOf0(sK29(X0,X1,slcrc0),X1)
| sP9(X0,X1,slcrc0) )
| ~ spl33_17
| ~ spl33_158 ),
inference(resolution,[],[f1614,f607]) ).
fof(f3126,plain,
( ~ spl33_8
| spl33_301
| ~ spl33_144 ),
inference(avatar_split_clause,[],[f1527,f1436,f3124,f561]) ).
fof(f3124,plain,
( spl33_301
<=> ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_301])]) ).
fof(f1436,plain,
( spl33_144
<=> ! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_144])]) ).
fof(f1527,plain,
( ! [X0] :
( aElementOf0(sK22(X0,szNzAzT0),szNzAzT0)
| sP4(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_144 ),
inference(factoring,[],[f1437]) ).
fof(f1437,plain,
( ! [X0,X1] :
( aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ spl33_144 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f3122,plain,
( spl33_300
| ~ spl33_40
| ~ spl33_104 ),
inference(avatar_split_clause,[],[f1147,f1118,f712,f3120]) ).
fof(f3120,plain,
( spl33_300
<=> ! [X0,X1] :
( ~ sP10(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_300])]) ).
fof(f1147,plain,
( ! [X0,X1] :
( ~ sP10(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl33_40
| ~ spl33_104 ),
inference(superposition,[],[f1119,f714]) ).
fof(f3118,plain,
( spl33_299
| ~ spl33_281
| spl33_252
| ~ spl33_33
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1083,f1039,f683,f2681,f2902,f3115]) ).
fof(f3115,plain,
( spl33_299
<=> isFinite0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_299])]) ).
fof(f1083,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl33_33
| ~ spl33_94 ),
inference(resolution,[],[f1040,f684]) ).
fof(f3111,plain,
( spl33_298
| ~ spl33_281
| spl33_252
| ~ spl33_35
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1081,f1039,f691,f2681,f2902,f3108]) ).
fof(f3108,plain,
( spl33_298
<=> sdtlseqdt0(sz00,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_298])]) ).
fof(f1081,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,szmzizndt0(szNzAzT0))
| ~ spl33_35
| ~ spl33_94 ),
inference(resolution,[],[f1040,f692]) ).
fof(f3106,plain,
( spl33_297
| ~ spl33_41
| ~ spl33_89 ),
inference(avatar_split_clause,[],[f1066,f1019,f718,f3104]) ).
fof(f3104,plain,
( spl33_297
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_297])]) ).
fof(f718,plain,
( spl33_41
<=> ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_41])]) ).
fof(f1019,plain,
( spl33_89
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_89])]) ).
fof(f1066,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP5(X1) )
| ~ spl33_41
| ~ spl33_89 ),
inference(resolution,[],[f1020,f719]) ).
fof(f719,plain,
( ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) )
| ~ spl33_41 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f1020,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ spl33_89 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f3102,plain,
( spl33_296
| ~ spl33_33
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1063,f1010,f683,f3100]) ).
fof(f3100,plain,
( spl33_296
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_296])]) ).
fof(f1063,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK21(X0))) )
| ~ spl33_33
| ~ spl33_87 ),
inference(resolution,[],[f1011,f684]) ).
fof(f3098,plain,
( spl33_295
| ~ spl33_35
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1061,f1010,f691,f3096]) ).
fof(f3096,plain,
( spl33_295
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_295])]) ).
fof(f1061,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK21(X0)) )
| ~ spl33_35
| ~ spl33_87 ),
inference(resolution,[],[f1011,f692]) ).
fof(f3090,plain,
( spl33_294
| ~ spl33_8
| spl33_252
| ~ spl33_34
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f973,f912,f687,f2681,f561,f3087]) ).
fof(f3087,plain,
( spl33_294
<=> sdtlseqdt0(sK26(szNzAzT0),sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_294])]) ).
fof(f973,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK26(szNzAzT0),sK26(szNzAzT0))
| ~ spl33_34
| ~ spl33_72 ),
inference(resolution,[],[f913,f688]) ).
fof(f3075,plain,
( ~ spl33_8
| spl33_293
| ~ spl33_44
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f968,f908,f750,f3073,f561]) ).
fof(f3073,plain,
( spl33_293
<=> ! [X0] :
( ~ isFinite0(X0)
| aElement0(sK24(X0))
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_293])]) ).
fof(f968,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK24(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_44
| ~ spl33_71 ),
inference(resolution,[],[f909,f751]) ).
fof(f3071,plain,
( spl33_292
| ~ spl33_34
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f965,f908,f687,f3069]) ).
fof(f3069,plain,
( spl33_292
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK24(X0),sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_292])]) ).
fof(f965,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK24(X0),sK24(X0)) )
| ~ spl33_34
| ~ spl33_71 ),
inference(resolution,[],[f909,f688]) ).
fof(f3067,plain,
( spl33_291
| ~ spl33_57
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f864,f831,f823,f3065]) ).
fof(f3065,plain,
( spl33_291
<=> ! [X0,X1] :
( sP11(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_291])]) ).
fof(f864,plain,
( ! [X0,X1] :
( sP11(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl33_57
| ~ spl33_59 ),
inference(resolution,[],[f832,f824]) ).
fof(f3063,plain,
( spl33_290
| ~ spl33_50
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f856,f827,f774,f3061]) ).
fof(f3061,plain,
( spl33_290
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_290])]) ).
fof(f856,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_50
| ~ spl33_58 ),
inference(resolution,[],[f828,f775]) ).
fof(f3056,plain,
( ~ spl33_3
| spl33_289
| ~ spl33_16
| ~ spl33_18
| ~ spl33_22
| ~ spl33_133 ),
inference(avatar_split_clause,[],[f1375,f1338,f630,f610,f601,f3053,f536]) ).
fof(f3053,plain,
( spl33_289
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_289])]) ).
fof(f1375,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aFunction0(xN)
| ~ spl33_18
| ~ spl33_22
| ~ spl33_133 ),
inference(forward_demodulation,[],[f1374,f612]) ).
fof(f1374,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl33_18
| ~ spl33_22
| ~ spl33_133 ),
inference(forward_demodulation,[],[f1372,f612]) ).
fof(f1372,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szDzozmdt0(xN)))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl33_22
| ~ spl33_133 ),
inference(superposition,[],[f1339,f632]) ).
fof(f3050,plain,
( spl33_288
| ~ spl33_16
| ~ spl33_18
| ~ spl33_22
| ~ spl33_130 ),
inference(avatar_split_clause,[],[f1332,f1306,f630,f610,f601,f3048]) ).
fof(f3048,plain,
( spl33_288
<=> ! [X0] :
( ~ sP6(xS,xN,X0)
| aElementOf0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_288])]) ).
fof(f1306,plain,
( spl33_130
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(sdtlpdtrp0(X1,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_130])]) ).
fof(f1332,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sP6(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl33_18
| ~ spl33_22
| ~ spl33_130 ),
inference(forward_demodulation,[],[f1331,f612]) ).
fof(f1331,plain,
( ! [X0] :
( ~ sP6(xS,xN,X0)
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| aElementOf0(sz00,X0) )
| ~ spl33_22
| ~ spl33_130 ),
inference(superposition,[],[f1307,f632]) ).
fof(f1307,plain,
( ! [X2,X1,X4] :
( ~ sP6(sdtlpdtrp0(X1,X4),X1,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| aElementOf0(X4,X2) )
| ~ spl33_130 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f3046,plain,
( ~ spl33_8
| ~ spl33_184
| ~ spl33_286
| spl33_287
| ~ spl33_14
| ~ spl33_126 ),
inference(avatar_split_clause,[],[f1322,f1290,f591,f3043,f3039,f2022,f561]) ).
fof(f3039,plain,
( spl33_286
<=> aSubsetOf0(szNzAzT0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_286])]) ).
fof(f3043,plain,
( spl33_287
<=> szNzAzT0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl33_287])]) ).
fof(f1290,plain,
( spl33_126
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_126])]) ).
fof(f1322,plain,
( szNzAzT0 = xS
| ~ aSubsetOf0(szNzAzT0,xS)
| ~ aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl33_14
| ~ spl33_126 ),
inference(resolution,[],[f1291,f593]) ).
fof(f1291,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl33_126 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f2991,plain,
( spl33_285
| ~ spl33_12
| ~ spl33_245 ),
inference(avatar_split_clause,[],[f2602,f2594,f581,f2988]) ).
fof(f2988,plain,
( spl33_285
<=> aElement0(szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_285])]) ).
fof(f2602,plain,
( aElement0(szszuzczcdt0(xi))
| ~ spl33_12
| ~ spl33_245 ),
inference(resolution,[],[f2595,f583]) ).
fof(f583,plain,
( aElementOf0(xi,szNzAzT0)
| ~ spl33_12 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f2941,plain,
( ~ spl33_8
| spl33_284
| ~ spl33_16
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f1223,f1164,f601,f2938,f561]) ).
fof(f2938,plain,
( spl33_284
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_284])]) ).
fof(f1223,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl33_16
| ~ spl33_109 ),
inference(resolution,[],[f1165,f603]) ).
fof(f2926,plain,
( ~ spl33_8
| ~ spl33_25
| spl33_281 ),
inference(avatar_split_clause,[],[f2906,f2902,f643,f561]) ).
fof(f643,plain,
( spl33_25
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f2906,plain,
( ~ aSet0(szNzAzT0)
| ~ spl33_25
| spl33_281 ),
inference(resolution,[],[f2904,f644]) ).
fof(f644,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f2904,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl33_281 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f2914,plain,
( spl33_283
| ~ spl33_17
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1550,f1452,f606,f2912]) ).
fof(f2912,plain,
( spl33_283
<=> ! [X0,X1] :
( aElement0(sK29(X0,X1,slcrc0))
| sP9(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_283])]) ).
fof(f1550,plain,
( ! [X0,X1] :
( aElement0(sK29(X0,X1,slcrc0))
| sP9(X0,X1,slcrc0) )
| ~ spl33_17
| ~ spl33_148 ),
inference(resolution,[],[f1453,f607]) ).
fof(f2910,plain,
( spl33_282
| ~ spl33_17
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1534,f1440,f606,f2908]) ).
fof(f2908,plain,
( spl33_282
<=> ! [X0,X1] :
( aElement0(sK28(X0,X1,slcrc0))
| sP8(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_282])]) ).
fof(f1534,plain,
( ! [X0,X1] :
( aElement0(sK28(X0,X1,slcrc0))
| sP8(X0,X1,slcrc0) )
| ~ spl33_17
| ~ spl33_145 ),
inference(resolution,[],[f1441,f607]) ).
fof(f2905,plain,
( spl33_280
| ~ spl33_281
| spl33_252
| ~ spl33_27
| ~ spl33_94 ),
inference(avatar_split_clause,[],[f1084,f1039,f651,f2681,f2902,f2898]) ).
fof(f2898,plain,
( spl33_280
<=> sP5(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_280])]) ).
fof(f1084,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(szmzizndt0(szNzAzT0))
| ~ spl33_27
| ~ spl33_94 ),
inference(resolution,[],[f1040,f652]) ).
fof(f2896,plain,
( spl33_279
| ~ spl33_8
| spl33_252
| ~ spl33_33
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f974,f912,f683,f2681,f561,f2893]) ).
fof(f2893,plain,
( spl33_279
<=> isFinite0(slbdtrb0(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_279])]) ).
fof(f974,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK26(szNzAzT0)))
| ~ spl33_33
| ~ spl33_72 ),
inference(resolution,[],[f913,f684]) ).
fof(f2889,plain,
( spl33_21
| ~ spl33_9
| ~ spl33_252 ),
inference(avatar_split_clause,[],[f2832,f2681,f566,f625]) ).
fof(f625,plain,
( spl33_21
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f2832,plain,
( isCountable0(slcrc0)
| ~ spl33_9
| ~ spl33_252 ),
inference(superposition,[],[f568,f2683]) ).
fof(f2683,plain,
( slcrc0 = szNzAzT0
| ~ spl33_252 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f568,plain,
( isCountable0(szNzAzT0)
| ~ spl33_9 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f2888,plain,
( spl33_278
| ~ spl33_53
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f1096,f1047,f786,f2886]) ).
fof(f2886,plain,
( spl33_278
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_278])]) ).
fof(f786,plain,
( spl33_53
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP9(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_53])]) ).
fof(f1096,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl33_53
| ~ spl33_96 ),
inference(resolution,[],[f1048,f787]) ).
fof(f787,plain,
( ! [X2,X1,X4] :
( ~ sP9(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl33_53 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f2884,plain,
( spl33_277
| ~ spl33_78
| ~ spl33_95 ),
inference(avatar_split_clause,[],[f1093,f1043,f936,f2882]) ).
fof(f2882,plain,
( spl33_277
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_277])]) ).
fof(f936,plain,
( spl33_78
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP8(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_78])]) ).
fof(f1093,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl33_78
| ~ spl33_95 ),
inference(duplicate_literal_removal,[],[f1091]) ).
fof(f1091,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl33_78
| ~ spl33_95 ),
inference(resolution,[],[f1044,f937]) ).
fof(f937,plain,
( ! [X2,X1,X4] :
( ~ sP8(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl33_78 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f2880,plain,
( spl33_276
| ~ spl33_66
| ~ spl33_91 ),
inference(avatar_split_clause,[],[f1075,f1027,f888,f2878]) ).
fof(f2878,plain,
( spl33_276
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_276])]) ).
fof(f888,plain,
( spl33_66
<=> ! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_66])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1) )
| ~ spl33_66
| ~ spl33_91 ),
inference(duplicate_literal_removal,[],[f1069]) ).
fof(f1069,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP3(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_66
| ~ spl33_91 ),
inference(resolution,[],[f1028,f889]) ).
fof(f889,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP3(X1,X0)
| ~ aFunction0(X0) )
| ~ spl33_66 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f2876,plain,
( spl33_275
| ~ spl33_65
| ~ spl33_91 ),
inference(avatar_split_clause,[],[f1074,f1027,f884,f2874]) ).
fof(f2874,plain,
( spl33_275
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP1(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_275])]) ).
fof(f884,plain,
( spl33_65
<=> ! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_65])]) ).
fof(f1074,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP1(sdtlbdtrb0(X1,X0),X1) )
| ~ spl33_65
| ~ spl33_91 ),
inference(duplicate_literal_removal,[],[f1070]) ).
fof(f1070,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP1(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl33_65
| ~ spl33_91 ),
inference(resolution,[],[f1028,f885]) ).
fof(f885,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP1(X1,X0)
| ~ aFunction0(X0) )
| ~ spl33_65 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f2871,plain,
( spl33_274
| ~ spl33_27
| ~ spl33_87 ),
inference(avatar_split_clause,[],[f1064,f1010,f651,f2869]) ).
fof(f2869,plain,
( spl33_274
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP5(sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_274])]) ).
fof(f1064,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP5(sK21(X0)) )
| ~ spl33_27
| ~ spl33_87 ),
inference(resolution,[],[f1011,f652]) ).
fof(f2867,plain,
( spl33_273
| ~ spl33_55
| ~ spl33_75 ),
inference(avatar_split_clause,[],[f978,f924,f815,f2865]) ).
fof(f2865,plain,
( spl33_273
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_273])]) ).
fof(f815,plain,
( spl33_55
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_55])]) ).
fof(f924,plain,
( spl33_75
<=> ! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_75])]) ).
fof(f978,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 )
| ~ spl33_55
| ~ spl33_75 ),
inference(resolution,[],[f925,f816]) ).
fof(f816,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| szDzozmdt0(X0) = X2 )
| ~ spl33_55 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f925,plain,
( ! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) )
| ~ spl33_75 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f2830,plain,
( spl33_272
| ~ spl33_8
| spl33_252
| ~ spl33_35
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f972,f912,f691,f2681,f561,f2827]) ).
fof(f2827,plain,
( spl33_272
<=> sdtlseqdt0(sz00,sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_272])]) ).
fof(f972,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK26(szNzAzT0))
| ~ spl33_35
| ~ spl33_72 ),
inference(resolution,[],[f913,f692]) ).
fof(f2825,plain,
( spl33_271
| ~ spl33_33
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f966,f908,f683,f2823]) ).
fof(f2823,plain,
( spl33_271
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_271])]) ).
fof(f966,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK24(X0))) )
| ~ spl33_33
| ~ spl33_71 ),
inference(resolution,[],[f909,f684]) ).
fof(f2821,plain,
( spl33_270
| ~ spl33_13
| ~ spl33_245 ),
inference(avatar_split_clause,[],[f2600,f2594,f586,f2818]) ).
fof(f2818,plain,
( spl33_270
<=> aElement0(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_270])]) ).
fof(f2600,plain,
( aElement0(szszuzczcdt0(xK))
| ~ spl33_13
| ~ spl33_245 ),
inference(resolution,[],[f2595,f588]) ).
fof(f588,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f2816,plain,
( spl33_269
| ~ spl33_35
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f964,f908,f691,f2814]) ).
fof(f2814,plain,
( spl33_269
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_269])]) ).
fof(f964,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK24(X0)) )
| ~ spl33_35
| ~ spl33_71 ),
inference(resolution,[],[f909,f692]) ).
fof(f2812,plain,
( spl33_268
| ~ spl33_41
| ~ spl33_69 ),
inference(avatar_split_clause,[],[f956,f900,f718,f2810]) ).
fof(f2810,plain,
( spl33_268
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP5(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_268])]) ).
fof(f900,plain,
( spl33_69
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f956,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP5(X1) )
| ~ spl33_41
| ~ spl33_69 ),
inference(resolution,[],[f901,f719]) ).
fof(f901,plain,
( ! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) )
| ~ spl33_69 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f2808,plain,
( spl33_267
| ~ spl33_25
| ~ spl33_66 ),
inference(avatar_split_clause,[],[f950,f888,f643,f2806]) ).
fof(f2806,plain,
( spl33_267
<=> ! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_267])]) ).
fof(f950,plain,
( ! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_25
| ~ spl33_66 ),
inference(resolution,[],[f889,f644]) ).
fof(f2804,plain,
( spl33_266
| ~ spl33_25
| ~ spl33_65 ),
inference(avatar_split_clause,[],[f943,f884,f643,f2802]) ).
fof(f2802,plain,
( spl33_266
<=> ! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_266])]) ).
fof(f943,plain,
( ! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl33_25
| ~ spl33_65 ),
inference(resolution,[],[f885,f644]) ).
fof(f2800,plain,
( spl33_265
| ~ spl33_44
| ~ spl33_62 ),
inference(avatar_split_clause,[],[f873,f843,f750,f2798]) ).
fof(f2798,plain,
( spl33_265
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_265])]) ).
fof(f843,plain,
( spl33_62
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_62])]) ).
fof(f873,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_44
| ~ spl33_62 ),
inference(resolution,[],[f844,f751]) ).
fof(f844,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_62 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f2796,plain,
( spl33_264
| ~ spl33_50
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f863,f831,f774,f2794]) ).
fof(f2794,plain,
( spl33_264
<=> ! [X0,X1] :
( sP11(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_264])]) ).
fof(f863,plain,
( ! [X0,X1] :
( sP11(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl33_50
| ~ spl33_59 ),
inference(resolution,[],[f832,f775]) ).
fof(f2792,plain,
( spl33_263
| ~ spl33_34
| ~ spl33_57 ),
inference(avatar_split_clause,[],[f849,f823,f687,f2790]) ).
fof(f2790,plain,
( spl33_263
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_263])]) ).
fof(f849,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl33_34
| ~ spl33_57 ),
inference(resolution,[],[f824,f688]) ).
fof(f2784,plain,
( ~ spl33_8
| spl33_262
| ~ spl33_12
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f1228,f1164,f581,f2781,f561]) ).
fof(f2781,plain,
( spl33_262
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_262])]) ).
fof(f1228,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi)
| ~ aSet0(szNzAzT0)
| ~ spl33_12
| ~ spl33_109 ),
inference(resolution,[],[f1165,f583]) ).
fof(f2775,plain,
( spl33_261
| ~ spl33_38
| ~ spl33_236 ),
inference(avatar_split_clause,[],[f2505,f2464,f703,f2772]) ).
fof(f2772,plain,
( spl33_261
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_261])]) ).
fof(f703,plain,
( spl33_38
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_38])]) ).
fof(f2464,plain,
( spl33_236
<=> sP10(xK,xS,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_236])]) ).
fof(f2505,plain,
( aSet0(szDzozmdt0(xc))
| ~ spl33_38
| ~ spl33_236 ),
inference(resolution,[],[f2466,f704]) ).
fof(f704,plain,
( ! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| aSet0(X2) )
| ~ spl33_38 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f2466,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ spl33_236 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2770,plain,
( ~ spl33_8
| spl33_260
| ~ spl33_15
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f1227,f1164,f596,f2767,f561]) ).
fof(f2767,plain,
( spl33_260
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_260])]) ).
fof(f1227,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl33_15
| ~ spl33_109 ),
inference(resolution,[],[f1165,f598]) ).
fof(f598,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl33_15 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f2761,plain,
( ~ spl33_8
| spl33_259
| ~ spl33_13
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f1226,f1164,f586,f2758,f561]) ).
fof(f2758,plain,
( spl33_259
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_259])]) ).
fof(f1226,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ aSet0(szNzAzT0)
| ~ spl33_13
| ~ spl33_109 ),
inference(resolution,[],[f1165,f588]) ).
fof(f2748,plain,
( ~ spl33_3
| spl33_258
| ~ spl33_18
| ~ spl33_91 ),
inference(avatar_split_clause,[],[f1073,f1027,f610,f2746,f536]) ).
fof(f2746,plain,
( spl33_258
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_258])]) ).
fof(f1073,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) )
| ~ spl33_18
| ~ spl33_91 ),
inference(superposition,[],[f1028,f612]) ).
fof(f2743,plain,
( ~ spl33_3
| spl33_257
| ~ spl33_18
| ~ spl33_82 ),
inference(avatar_split_clause,[],[f1051,f990,f610,f2741,f536]) ).
fof(f2741,plain,
( spl33_257
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_257])]) ).
fof(f990,plain,
( spl33_82
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_82])]) ).
fof(f1051,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl33_18
| ~ spl33_82 ),
inference(superposition,[],[f991,f612]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl33_82 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f2737,plain,
( ~ spl33_4
| ~ spl33_5
| spl33_256
| ~ spl33_29
| ~ spl33_70 ),
inference(avatar_split_clause,[],[f959,f904,f665,f2734,f546,f541]) ).
fof(f546,plain,
( spl33_5
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f2734,plain,
( spl33_256
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_256])]) ).
fof(f959,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl33_29
| ~ spl33_70 ),
inference(resolution,[],[f905,f667]) ).
fof(f2731,plain,
( spl33_255
| ~ spl33_14
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f2455,f2449,f591,f2728]) ).
fof(f2728,plain,
( spl33_255
<=> sP3(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_255])]) ).
fof(f2455,plain,
( sP3(xS,xN)
| ~ spl33_14
| ~ spl33_234 ),
inference(resolution,[],[f2450,f593]) ).
fof(f2726,plain,
( ~ spl33_8
| spl33_254
| ~ spl33_45
| ~ spl33_54 ),
inference(avatar_split_clause,[],[f812,f809,f754,f2724,f561]) ).
fof(f2724,plain,
( spl33_254
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_254])]) ).
fof(f812,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_45
| ~ spl33_54 ),
inference(resolution,[],[f810,f755]) ).
fof(f2688,plain,
( spl33_253
| ~ spl33_44
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f977,f912,f750,f2686]) ).
fof(f2686,plain,
( spl33_253
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_253])]) ).
fof(f977,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK26(X0)) )
| ~ spl33_44
| ~ spl33_72 ),
inference(duplicate_literal_removal,[],[f976]) ).
fof(f976,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK26(X0))
| ~ aSet0(X0) )
| ~ spl33_44
| ~ spl33_72 ),
inference(resolution,[],[f913,f751]) ).
fof(f2684,plain,
( spl33_251
| ~ spl33_8
| spl33_252
| ~ spl33_27
| ~ spl33_72 ),
inference(avatar_split_clause,[],[f975,f912,f651,f2681,f561,f2677]) ).
fof(f2677,plain,
( spl33_251
<=> sP5(sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_251])]) ).
fof(f975,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP5(sK26(szNzAzT0))
| ~ spl33_27
| ~ spl33_72 ),
inference(resolution,[],[f913,f652]) ).
fof(f2675,plain,
( spl33_250
| ~ spl33_14
| ~ spl33_233 ),
inference(avatar_split_clause,[],[f2444,f2438,f591,f2672]) ).
fof(f2672,plain,
( spl33_250
<=> sP1(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_250])]) ).
fof(f2444,plain,
( sP1(xS,xN)
| ~ spl33_14
| ~ spl33_233 ),
inference(resolution,[],[f2439,f593]) ).
fof(f2670,plain,
( spl33_249
| ~ spl33_27
| ~ spl33_71 ),
inference(avatar_split_clause,[],[f967,f908,f651,f2668]) ).
fof(f2668,plain,
( spl33_249
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP5(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_249])]) ).
fof(f967,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP5(sK24(X0)) )
| ~ spl33_27
| ~ spl33_71 ),
inference(resolution,[],[f909,f652]) ).
fof(f2666,plain,
( spl33_248
| ~ spl33_33
| ~ spl33_57 ),
inference(avatar_split_clause,[],[f850,f823,f683,f2664]) ).
fof(f2664,plain,
( spl33_248
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_248])]) ).
fof(f850,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) )
| ~ spl33_33
| ~ spl33_57 ),
inference(resolution,[],[f824,f684]) ).
fof(f2641,plain,
( spl33_247
| ~ spl33_240
| ~ spl33_246 ),
inference(avatar_split_clause,[],[f2637,f2634,f2532,f2639]) ).
fof(f2639,plain,
( spl33_247
<=> ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_247])]) ).
fof(f2532,plain,
( spl33_240
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_240])]) ).
fof(f2634,plain,
( spl33_246
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_246])]) ).
fof(f2637,plain,
( ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl33_240
| ~ spl33_246 ),
inference(forward_demodulation,[],[f2635,f2534]) ).
fof(f2534,plain,
( sz00 = xk
| ~ spl33_240 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f2635,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) )
| ~ spl33_246 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f2636,plain,
( spl33_246
| ~ spl33_35
| ~ spl33_57 ),
inference(avatar_split_clause,[],[f848,f823,f691,f2634]) ).
fof(f848,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl33_35
| ~ spl33_57 ),
inference(resolution,[],[f824,f692]) ).
fof(f2596,plain,
( ~ spl33_8
| spl33_245
| ~ spl33_44
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f805,f774,f750,f2594,f561]) ).
fof(f805,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl33_44
| ~ spl33_50 ),
inference(resolution,[],[f775,f751]) ).
fof(f2592,plain,
( spl33_244
| ~ spl33_34
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f802,f774,f687,f2590]) ).
fof(f2590,plain,
( spl33_244
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_244])]) ).
fof(f802,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl33_34
| ~ spl33_50 ),
inference(resolution,[],[f775,f688]) ).
fof(f2565,plain,
( ~ spl33_243
| ~ spl33_240
| spl33_242 ),
inference(avatar_split_clause,[],[f2560,f2556,f2532,f2562]) ).
fof(f2562,plain,
( spl33_243
<=> xk = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_243])]) ).
fof(f2556,plain,
( spl33_242
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_242])]) ).
fof(f2560,plain,
( xk != xi
| ~ spl33_240
| spl33_242 ),
inference(forward_demodulation,[],[f2557,f2534]) ).
fof(f2557,plain,
( sz00 != xi
| spl33_242 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2559,plain,
( spl33_241
| spl33_242
| ~ spl33_12
| ~ spl33_100 ),
inference(avatar_split_clause,[],[f1133,f1102,f581,f2556,f2552]) ).
fof(f2552,plain,
( spl33_241
<=> xi = szszuzczcdt0(sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_241])]) ).
fof(f1133,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK21(xi))
| ~ spl33_12
| ~ spl33_100 ),
inference(resolution,[],[f1103,f583]) ).
fof(f2535,plain,
( spl33_239
| spl33_240
| ~ spl33_15
| ~ spl33_100 ),
inference(avatar_split_clause,[],[f1132,f1102,f596,f2532,f2528]) ).
fof(f2528,plain,
( spl33_239
<=> xk = szszuzczcdt0(sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_239])]) ).
fof(f1132,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK21(xk))
| ~ spl33_15
| ~ spl33_100 ),
inference(resolution,[],[f1103,f598]) ).
fof(f2501,plain,
( ~ spl33_184
| ~ spl33_209
| spl33_235 ),
inference(avatar_split_clause,[],[f2468,f2460,f2234,f2022]) ).
fof(f2234,plain,
( spl33_209
<=> ! [X0] :
( sP11(X0,xK)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_209])]) ).
fof(f2460,plain,
( spl33_235
<=> sP11(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_235])]) ).
fof(f2468,plain,
( ~ aSet0(xS)
| ~ spl33_209
| spl33_235 ),
inference(resolution,[],[f2462,f2235]) ).
fof(f2235,plain,
( ! [X0] :
( sP11(X0,xK)
| ~ aSet0(X0) )
| ~ spl33_209 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2462,plain,
( ~ sP11(xS,xK)
| spl33_235 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2500,plain,
( spl33_238
| spl33_11
| ~ spl33_13
| ~ spl33_100 ),
inference(avatar_split_clause,[],[f1131,f1102,f586,f576,f2497]) ).
fof(f2497,plain,
( spl33_238
<=> xK = szszuzczcdt0(sK21(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_238])]) ).
fof(f1131,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK21(xK))
| ~ spl33_13
| ~ spl33_100 ),
inference(resolution,[],[f1103,f588]) ).
fof(f2472,plain,
( ~ spl33_8
| spl33_237
| ~ spl33_14
| ~ spl33_99 ),
inference(avatar_split_clause,[],[f1126,f1098,f591,f2470,f561]) ).
fof(f2470,plain,
( spl33_237
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_237])]) ).
fof(f1126,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_14
| ~ spl33_99 ),
inference(resolution,[],[f1099,f593]) ).
fof(f2467,plain,
( ~ spl33_235
| spl33_236
| ~ spl33_28
| ~ spl33_79 ),
inference(avatar_split_clause,[],[f988,f940,f660,f2464,f2460]) ).
fof(f988,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ sP11(xS,xK)
| ~ spl33_28
| ~ spl33_79 ),
inference(superposition,[],[f941,f662]) ).
fof(f2451,plain,
( ~ spl33_3
| spl33_234
| ~ spl33_18
| ~ spl33_66 ),
inference(avatar_split_clause,[],[f951,f888,f610,f2449,f536]) ).
fof(f951,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP3(X0,xN)
| ~ aFunction0(xN) )
| ~ spl33_18
| ~ spl33_66 ),
inference(superposition,[],[f889,f612]) ).
fof(f2440,plain,
( ~ spl33_3
| spl33_233
| ~ spl33_18
| ~ spl33_65 ),
inference(avatar_split_clause,[],[f944,f884,f610,f2438,f536]) ).
fof(f944,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN)
| ~ aFunction0(xN) )
| ~ spl33_18
| ~ spl33_65 ),
inference(superposition,[],[f885,f612]) ).
fof(f2421,plain,
( spl33_232
| ~ spl33_188 ),
inference(avatar_split_clause,[],[f2094,f2060,f2419]) ).
fof(f2419,plain,
( spl33_232
<=> ! [X0] :
( sP0(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_232])]) ).
fof(f2060,plain,
( spl33_188
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_188])]) ).
fof(f2094,plain,
( ! [X0] :
( sP0(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_188 ),
inference(equality_resolution,[],[f2061]) ).
fof(f2061,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| sP0(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl33_188 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f2401,plain,
( spl33_231
| ~ spl33_12
| ~ spl33_219 ),
inference(avatar_split_clause,[],[f2318,f2310,f581,f2398]) ).
fof(f2398,plain,
( spl33_231
<=> sP5(szszuzczcdt0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_231])]) ).
fof(f2318,plain,
( sP5(szszuzczcdt0(xi))
| ~ spl33_12
| ~ spl33_219 ),
inference(resolution,[],[f2311,f583]) ).
fof(f2396,plain,
( ~ spl33_10
| spl33_230
| ~ spl33_17
| ~ spl33_112 ),
inference(avatar_split_clause,[],[f1240,f1177,f606,f2394,f571]) ).
fof(f2394,plain,
( spl33_230
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_230])]) ).
fof(f1240,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl33_17
| ~ spl33_112 ),
inference(resolution,[],[f1178,f607]) ).
fof(f2392,plain,
( spl33_229
| ~ spl33_38
| ~ spl33_79 ),
inference(avatar_split_clause,[],[f987,f940,f703,f2390]) ).
fof(f2390,plain,
( spl33_229
<=> ! [X0,X1] :
( ~ sP11(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_229])]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ sP11(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl33_38
| ~ spl33_79 ),
inference(resolution,[],[f941,f704]) ).
fof(f2388,plain,
( spl33_228
| ~ spl33_37
| ~ spl33_77 ),
inference(avatar_split_clause,[],[f986,f932,f699,f2386]) ).
fof(f2386,plain,
( spl33_228
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_228])]) ).
fof(f699,plain,
( spl33_37
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_37])]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) )
| ~ spl33_37
| ~ spl33_77 ),
inference(resolution,[],[f933,f700]) ).
fof(f700,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| aSet0(X2) )
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f2384,plain,
( spl33_227
| ~ spl33_32
| ~ spl33_76 ),
inference(avatar_split_clause,[],[f985,f928,f679,f2382]) ).
fof(f2382,plain,
( spl33_227
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_227])]) ).
fof(f679,plain,
( spl33_32
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f985,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) )
| ~ spl33_32
| ~ spl33_76 ),
inference(resolution,[],[f929,f680]) ).
fof(f680,plain,
( ! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X2) )
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f2380,plain,
( spl33_226
| ~ spl33_31
| ~ spl33_75 ),
inference(avatar_split_clause,[],[f979,f924,f675,f2378]) ).
fof(f2378,plain,
( spl33_226
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_226])]) ).
fof(f675,plain,
( spl33_31
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) )
| ~ spl33_31
| ~ spl33_75 ),
inference(resolution,[],[f925,f676]) ).
fof(f676,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aFunction0(X0) )
| ~ spl33_31 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f2376,plain,
( spl33_225
| ~ spl33_27
| ~ spl33_57 ),
inference(avatar_split_clause,[],[f851,f823,f651,f2374]) ).
fof(f2374,plain,
( spl33_225
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP5(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_225])]) ).
fof(f851,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP5(sbrdtbr0(X0)) )
| ~ spl33_27
| ~ spl33_57 ),
inference(resolution,[],[f824,f652]) ).
fof(f2372,plain,
( spl33_224
| ~ spl33_33
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f803,f774,f683,f2370]) ).
fof(f2370,plain,
( spl33_224
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_224])]) ).
fof(f803,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl33_33
| ~ spl33_50 ),
inference(resolution,[],[f775,f684]) ).
fof(f2368,plain,
( spl33_223
| ~ spl33_35
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f801,f774,f691,f2366]) ).
fof(f2366,plain,
( spl33_223
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_223])]) ).
fof(f801,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl33_35
| ~ spl33_50 ),
inference(resolution,[],[f775,f692]) ).
fof(f2360,plain,
( ~ spl33_15
| spl33_222
| ~ spl33_19
| ~ spl33_62 ),
inference(avatar_split_clause,[],[f874,f843,f615,f2357,f596]) ).
fof(f2357,plain,
( spl33_222
<=> aElementOf0(xk,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_222])]) ).
fof(f874,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_19
| ~ spl33_62 ),
inference(superposition,[],[f844,f617]) ).
fof(f2355,plain,
( spl33_221
| ~ spl33_13
| ~ spl33_219 ),
inference(avatar_split_clause,[],[f2316,f2310,f586,f2352]) ).
fof(f2352,plain,
( spl33_221
<=> sP5(szszuzczcdt0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_221])]) ).
fof(f2316,plain,
( sP5(szszuzczcdt0(xK))
| ~ spl33_13
| ~ spl33_219 ),
inference(resolution,[],[f2311,f588]) ).
fof(f2350,plain,
( ~ spl33_4
| spl33_220
| ~ spl33_29
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f795,f754,f665,f2347,f541]) ).
fof(f2347,plain,
( spl33_220
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_220])]) ).
fof(f795,plain,
( aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ spl33_29
| ~ spl33_45 ),
inference(resolution,[],[f755,f667]) ).
fof(f2312,plain,
( spl33_219
| ~ spl33_27
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f804,f774,f651,f2310]) ).
fof(f804,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(szszuzczcdt0(X0)) )
| ~ spl33_27
| ~ spl33_50 ),
inference(resolution,[],[f775,f652]) ).
fof(f2306,plain,
( ~ spl33_15
| spl33_218
| ~ spl33_19
| ~ spl33_49 ),
inference(avatar_split_clause,[],[f800,f770,f615,f2303,f596]) ).
fof(f2303,plain,
( spl33_218
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_218])]) ).
fof(f770,plain,
( spl33_49
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_49])]) ).
fof(f800,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_19
| ~ spl33_49 ),
inference(superposition,[],[f771,f617]) ).
fof(f771,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_49 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f2301,plain,
( ~ spl33_15
| spl33_217
| ~ spl33_19
| ~ spl33_48 ),
inference(avatar_split_clause,[],[f799,f766,f615,f2298,f596]) ).
fof(f2298,plain,
( spl33_217
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_217])]) ).
fof(f766,plain,
( spl33_48
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_48])]) ).
fof(f799,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_19
| ~ spl33_48 ),
inference(superposition,[],[f767,f617]) ).
fof(f767,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_48 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f2296,plain,
( ~ spl33_15
| ~ spl33_216
| ~ spl33_19
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f798,f762,f615,f2293,f596]) ).
fof(f2293,plain,
( spl33_216
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_216])]) ).
fof(f762,plain,
( spl33_47
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_47])]) ).
fof(f798,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_19
| ~ spl33_47 ),
inference(superposition,[],[f763,f617]) ).
fof(f763,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_47 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f2291,plain,
( ~ spl33_15
| ~ spl33_215
| ~ spl33_19
| ~ spl33_46 ),
inference(avatar_split_clause,[],[f797,f758,f615,f2288,f596]) ).
fof(f2288,plain,
( spl33_215
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_215])]) ).
fof(f758,plain,
( spl33_46
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f797,plain,
( xK != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_19
| ~ spl33_46 ),
inference(superposition,[],[f759,f617]) ).
fof(f759,plain,
( ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f2285,plain,
( spl33_214
| ~ spl33_16
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f862,f831,f601,f2283]) ).
fof(f2283,plain,
( spl33_214
<=> ! [X0] :
( sP11(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_214])]) ).
fof(f862,plain,
( ! [X0] :
( sP11(X0,sz00)
| ~ aSet0(X0) )
| ~ spl33_16
| ~ spl33_59 ),
inference(resolution,[],[f832,f603]) ).
fof(f2277,plain,
( ~ spl33_63
| spl33_213
| ~ spl33_20
| ~ spl33_41 ),
inference(avatar_split_clause,[],[f742,f718,f620,f2274,f869]) ).
fof(f869,plain,
( spl33_63
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_63])]) ).
fof(f2274,plain,
( spl33_213
<=> sP4(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_213])]) ).
fof(f742,plain,
( sP4(sz00,slcrc0)
| ~ sP5(sz00)
| ~ spl33_20
| ~ spl33_41 ),
inference(superposition,[],[f719,f622]) ).
fof(f2272,plain,
( spl33_212
| ~ spl33_26
| ~ spl33_41 ),
inference(avatar_split_clause,[],[f741,f718,f647,f2270]) ).
fof(f2270,plain,
( spl33_212
<=> ! [X0] :
( ~ sP5(X0)
| aSet0(slbdtrb0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_212])]) ).
fof(f647,plain,
( spl33_26
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f741,plain,
( ! [X0] :
( ~ sP5(X0)
| aSet0(slbdtrb0(X0)) )
| ~ spl33_26
| ~ spl33_41 ),
inference(resolution,[],[f719,f648]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| aSet0(X1) )
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f2244,plain,
( spl33_211
| ~ spl33_12
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f867,f831,f581,f2242]) ).
fof(f2242,plain,
( spl33_211
<=> ! [X0] :
( sP11(X0,xi)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_211])]) ).
fof(f867,plain,
( ! [X0] :
( sP11(X0,xi)
| ~ aSet0(X0) )
| ~ spl33_12
| ~ spl33_59 ),
inference(resolution,[],[f832,f583]) ).
fof(f2240,plain,
( spl33_210
| ~ spl33_15
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f866,f831,f596,f2238]) ).
fof(f2238,plain,
( spl33_210
<=> ! [X0] :
( sP11(X0,xk)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_210])]) ).
fof(f866,plain,
( ! [X0] :
( sP11(X0,xk)
| ~ aSet0(X0) )
| ~ spl33_15
| ~ spl33_59 ),
inference(resolution,[],[f832,f598]) ).
fof(f2236,plain,
( spl33_209
| ~ spl33_13
| ~ spl33_59 ),
inference(avatar_split_clause,[],[f865,f831,f586,f2234]) ).
fof(f865,plain,
( ! [X0] :
( sP11(X0,xK)
| ~ aSet0(X0) )
| ~ spl33_13
| ~ spl33_59 ),
inference(resolution,[],[f832,f588]) ).
fof(f2232,plain,
( spl33_208
| ~ spl33_12
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f860,f827,f581,f2229]) ).
fof(f2229,plain,
( spl33_208
<=> xi = sbrdtbr0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_208])]) ).
fof(f860,plain,
( xi = sbrdtbr0(slbdtrb0(xi))
| ~ spl33_12
| ~ spl33_58 ),
inference(resolution,[],[f828,f583]) ).
fof(f2227,plain,
( spl33_207
| ~ spl33_15
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f859,f827,f596,f2224]) ).
fof(f2224,plain,
( spl33_207
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_207])]) ).
fof(f859,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl33_15
| ~ spl33_58 ),
inference(resolution,[],[f828,f598]) ).
fof(f2222,plain,
( spl33_206
| ~ spl33_13
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f858,f827,f586,f2219]) ).
fof(f2219,plain,
( spl33_206
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_206])]) ).
fof(f858,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl33_13
| ~ spl33_58 ),
inference(resolution,[],[f828,f588]) ).
fof(f2217,plain,
( ~ spl33_8
| ~ spl33_205
| ~ spl33_9
| ~ spl33_36 ),
inference(avatar_split_clause,[],[f735,f695,f566,f2214,f561]) ).
fof(f2214,plain,
( spl33_205
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_205])]) ).
fof(f735,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl33_9
| ~ spl33_36 ),
inference(resolution,[],[f696,f568]) ).
fof(f2212,plain,
( ~ spl33_10
| spl33_204
| ~ spl33_24
| ~ spl33_40 ),
inference(avatar_split_clause,[],[f716,f712,f639,f2209,f571]) ).
fof(f2209,plain,
( spl33_204
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_204])]) ).
fof(f639,plain,
( spl33_24
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f716,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl33_24
| ~ spl33_40 ),
inference(superposition,[],[f640,f714]) ).
fof(f640,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl33_24 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f2207,plain,
( ~ spl33_8
| spl33_184
| ~ spl33_14
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f793,f754,f591,f2022,f561]) ).
fof(f793,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ spl33_14
| ~ spl33_45 ),
inference(resolution,[],[f755,f593]) ).
fof(f2206,plain,
( ~ spl33_8
| spl33_203
| ~ spl33_12
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f792,f750,f581,f2203,f561]) ).
fof(f2203,plain,
( spl33_203
<=> aElement0(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_203])]) ).
fof(f792,plain,
( aElement0(xi)
| ~ aSet0(szNzAzT0)
| ~ spl33_12
| ~ spl33_44 ),
inference(resolution,[],[f751,f583]) ).
fof(f2201,plain,
( ~ spl33_8
| spl33_202
| ~ spl33_15
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f791,f750,f596,f2198,f561]) ).
fof(f2198,plain,
( spl33_202
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_202])]) ).
fof(f791,plain,
( aElement0(xk)
| ~ aSet0(szNzAzT0)
| ~ spl33_15
| ~ spl33_44 ),
inference(resolution,[],[f751,f598]) ).
fof(f2195,plain,
spl33_201,
inference(avatar_split_clause,[],[f338,f2193]) ).
fof(f2193,plain,
( spl33_201
<=> ! [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_201])]) ).
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/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f2191,plain,
( ~ spl33_8
| spl33_200
| ~ spl33_13
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f790,f750,f586,f2188,f561]) ).
fof(f2188,plain,
( spl33_200
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_200])]) ).
fof(f790,plain,
( aElement0(xK)
| ~ aSet0(szNzAzT0)
| ~ spl33_13
| ~ spl33_44 ),
inference(resolution,[],[f751,f588]) ).
fof(f2184,plain,
spl33_199,
inference(avatar_split_clause,[],[f336,f2182]) ).
fof(f2182,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(f2180,plain,
spl33_198,
inference(avatar_split_clause,[],[f335,f2178]) ).
fof(f2178,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(f2175,plain,
spl33_197,
inference(avatar_split_clause,[],[f337,f2173]) ).
fof(f2173,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(f2161,plain,
spl33_196,
inference(avatar_split_clause,[],[f464,f2159]) ).
fof(f2159,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(f2157,plain,
spl33_195,
inference(avatar_split_clause,[],[f443,f2155]) ).
fof(f2155,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(f2141,plain,
spl33_194,
inference(avatar_split_clause,[],[f484,f2139]) ).
fof(f2139,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/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f2137,plain,
spl33_193,
inference(avatar_split_clause,[],[f481,f2135]) ).
fof(f2135,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(f2133,plain,
spl33_192,
inference(avatar_split_clause,[],[f413,f2131]) ).
fof(f2131,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/sandbox2/benchmark/theBenchmark.p',mSelSub) ).
fof(f2122,plain,
spl33_191,
inference(avatar_split_clause,[],[f325,f2120]) ).
fof(f2120,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/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f2102,plain,
spl33_190,
inference(avatar_split_clause,[],[f365,f2100]) ).
fof(f2100,plain,
( spl33_190
<=> ! [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_190])]) ).
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(f2098,plain,
spl33_189,
inference(avatar_split_clause,[],[f364,f2096]) ).
fof(f2096,plain,
( spl33_189
<=> ! [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_189])]) ).
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(f2062,plain,
spl33_188,
inference(avatar_split_clause,[],[f498,f2060]) ).
fof(f498,plain,
! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f355]) ).
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(f2058,plain,
spl33_187,
inference(avatar_split_clause,[],[f451,f2056]) ).
fof(f2056,plain,
( spl33_187
<=> ! [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_187])]) ).
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(f2033,plain,
spl33_186,
inference(avatar_split_clause,[],[f452,f2031]) ).
fof(f2031,plain,
( spl33_186
<=> ! [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_186])]) ).
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(f2029,plain,
( ~ spl33_184
| ~ spl33_185
| ~ spl33_6
| ~ spl33_36 ),
inference(avatar_split_clause,[],[f734,f695,f551,f2026,f2022]) ).
fof(f734,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl33_6
| ~ spl33_36 ),
inference(resolution,[],[f696,f553]) ).
fof(f553,plain,
( isCountable0(xS)
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f2020,plain,
spl33_183,
inference(avatar_split_clause,[],[f411,f2018]) ).
fof(f2018,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(f2016,plain,
spl33_182,
inference(avatar_split_clause,[],[f372,f2014]) ).
fof(f2014,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/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f1974,plain,
spl33_181,
inference(avatar_split_clause,[],[f472,f1972]) ).
fof(f1972,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/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(f1970,plain,
spl33_180,
inference(avatar_split_clause,[],[f442,f1968]) ).
fof(f1968,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(f1966,plain,
spl33_179,
inference(avatar_split_clause,[],[f424,f1964]) ).
fof(f1964,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/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f1962,plain,
spl33_178,
inference(avatar_split_clause,[],[f423,f1960]) ).
fof(f1960,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(f1916,plain,
spl33_177,
inference(avatar_split_clause,[],[f480,f1914]) ).
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(f1912,plain,
spl33_176,
inference(avatar_split_clause,[],[f441,f1910]) ).
fof(f1910,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(f1815,plain,
( spl33_175
| ~ spl33_16
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f726,f687,f601,f1812]) ).
fof(f1812,plain,
( spl33_175
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_175])]) ).
fof(f726,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl33_16
| ~ spl33_34 ),
inference(resolution,[],[f688,f603]) ).
fof(f1783,plain,
spl33_174,
inference(avatar_split_clause,[],[f496,f1781]) ).
fof(f1781,plain,
( spl33_174
<=> ! [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_174])]) ).
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/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f1779,plain,
spl33_173,
inference(avatar_split_clause,[],[f492,f1777]) ).
fof(f1777,plain,
( spl33_173
<=> ! [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_173])]) ).
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/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f1775,plain,
spl33_172,
inference(avatar_split_clause,[],[f479,f1773]) ).
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(f1771,plain,
spl33_171,
inference(avatar_split_clause,[],[f470,f1769]) ).
fof(f1769,plain,
( spl33_171
<=> ! [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_171])]) ).
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(f1767,plain,
spl33_170,
inference(avatar_split_clause,[],[f430,f1765]) ).
fof(f1765,plain,
( spl33_170
<=> ! [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_170])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f1763,plain,
spl33_169,
inference(avatar_split_clause,[],[f429,f1761]) ).
fof(f1761,plain,
( spl33_169
<=> ! [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_169])]) ).
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(f1759,plain,
spl33_168,
inference(avatar_split_clause,[],[f363,f1757]) ).
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(f1751,plain,
spl33_167,
inference(avatar_split_clause,[],[f339,f1749]) ).
fof(f1749,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/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f1707,plain,
spl33_166,
inference(avatar_split_clause,[],[f471,f1705]) ).
fof(f1705,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(f1703,plain,
spl33_165,
inference(avatar_split_clause,[],[f469,f1701]) ).
fof(f1701,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/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f1699,plain,
spl33_164,
inference(avatar_split_clause,[],[f415,f1697]) ).
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/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f1695,plain,
spl33_163,
inference(avatar_split_clause,[],[f371,f1693]) ).
fof(f1693,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(f1690,plain,
spl33_162,
inference(avatar_split_clause,[],[f370,f1688]) ).
fof(f1688,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(f1686,plain,
spl33_161,
inference(avatar_split_clause,[],[f369,f1684]) ).
fof(f1684,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(f1679,plain,
spl33_160,
inference(avatar_split_clause,[],[f326,f1677]) ).
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(f1619,plain,
spl33_159,
inference(avatar_split_clause,[],[f468,f1617]) ).
fof(f1617,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(f1615,plain,
spl33_158,
inference(avatar_split_clause,[],[f462,f1613]) ).
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(f1611,plain,
spl33_157,
inference(avatar_split_clause,[],[f410,f1609]) ).
fof(f1609,plain,
( spl33_157
<=> ! [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_157])]) ).
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(f1599,plain,
spl33_156,
inference(avatar_split_clause,[],[f340,f1597]) ).
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/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f1482,plain,
spl33_155,
inference(avatar_split_clause,[],[f523,f1480]) ).
fof(f1480,plain,
( spl33_155
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_155])]) ).
fof(f523,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(f1478,plain,
spl33_154,
inference(avatar_split_clause,[],[f505,f1476]) ).
fof(f1476,plain,
( spl33_154
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_154])]) ).
fof(f505,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f422]) ).
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(f1474,plain,
spl33_153,
inference(avatar_split_clause,[],[f499,f1472]) ).
fof(f499,plain,
! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f354]) ).
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(f1470,plain,
spl33_152,
inference(avatar_split_clause,[],[f495,f1468]) ).
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/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f1466,plain,
spl33_151,
inference(avatar_split_clause,[],[f493,f1464]) ).
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(f1462,plain,
spl33_150,
inference(avatar_split_clause,[],[f487,f1460]) ).
fof(f1460,plain,
( spl33_150
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_150])]) ).
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/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f1458,plain,
spl33_149,
inference(avatar_split_clause,[],[f467,f1456]) ).
fof(f1456,plain,
( spl33_149
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_149])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f1454,plain,
spl33_148,
inference(avatar_split_clause,[],[f461,f1452]) ).
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(f1450,plain,
spl33_147,
inference(avatar_split_clause,[],[f460,f1448]) ).
fof(f1448,plain,
( spl33_147
<=> ! [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_147])]) ).
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(f1446,plain,
spl33_146,
inference(avatar_split_clause,[],[f456,f1444]) ).
fof(f1444,plain,
( spl33_146
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_146])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f1442,plain,
spl33_145,
inference(avatar_split_clause,[],[f450,f1440]) ).
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(f1438,plain,
spl33_144,
inference(avatar_split_clause,[],[f409,f1436]) ).
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(f1434,plain,
spl33_143,
inference(avatar_split_clause,[],[f382,f1432]) ).
fof(f1432,plain,
( spl33_143
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_143])]) ).
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/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f1430,plain,
spl33_142,
inference(avatar_split_clause,[],[f361,f1428]) ).
fof(f1428,plain,
( spl33_142
<=> ! [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_142])]) ).
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(f1426,plain,
spl33_141,
inference(avatar_split_clause,[],[f348,f1424]) ).
fof(f1424,plain,
( spl33_141
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_141])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f1368,plain,
spl33_140,
inference(avatar_split_clause,[],[f491,f1366]) ).
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/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f1364,plain,
spl33_139,
inference(avatar_split_clause,[],[f490,f1362]) ).
fof(f490,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1360,plain,
spl33_138,
inference(avatar_split_clause,[],[f489,f1358]) ).
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/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f1356,plain,
spl33_137,
inference(avatar_split_clause,[],[f488,f1354]) ).
fof(f488,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f1352,plain,
spl33_136,
inference(avatar_split_clause,[],[f486,f1350]) ).
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/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f1348,plain,
spl33_135,
inference(avatar_split_clause,[],[f483,f1346]) ).
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/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1344,plain,
spl33_134,
inference(avatar_split_clause,[],[f420,f1342]) ).
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/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f1340,plain,
spl33_133,
inference(avatar_split_clause,[],[f368,f1338]) ).
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/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f1336,plain,
spl33_132,
inference(avatar_split_clause,[],[f353,f1334]) ).
fof(f1334,plain,
( spl33_132
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_132])]) ).
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(f1312,plain,
spl33_131,
inference(avatar_split_clause,[],[f524,f1310]) ).
fof(f1310,plain,
( spl33_131
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_131])]) ).
fof(f524,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(f1308,plain,
spl33_130,
inference(avatar_split_clause,[],[f512,f1306]) ).
fof(f512,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f440]) ).
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(f1304,plain,
spl33_129,
inference(avatar_split_clause,[],[f507,f1302]) ).
fof(f1302,plain,
( spl33_129
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_129])]) ).
fof(f507,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f428]) ).
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(f1300,plain,
spl33_128,
inference(avatar_split_clause,[],[f485,f1298]) ).
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/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1296,plain,
spl33_127,
inference(avatar_split_clause,[],[f447,f1294]) ).
fof(f1294,plain,
( spl33_127
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_127])]) ).
fof(f447,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1292,plain,
spl33_126,
inference(avatar_split_clause,[],[f445,f1290]) ).
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/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f1288,plain,
spl33_125,
inference(avatar_split_clause,[],[f408,f1286]) ).
fof(f408,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1284,plain,
spl33_124,
inference(avatar_split_clause,[],[f360,f1282]) ).
fof(f1282,plain,
( spl33_124
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_124])]) ).
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(f1280,plain,
spl33_123,
inference(avatar_split_clause,[],[f347,f1278]) ).
fof(f347,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1264,plain,
( spl33_122
| ~ spl33_12
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f733,f691,f581,f1261]) ).
fof(f733,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl33_12
| ~ spl33_35 ),
inference(resolution,[],[f692,f583]) ).
fof(f1218,plain,
( spl33_121
| ~ spl33_15
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f732,f691,f596,f1215]) ).
fof(f1215,plain,
( spl33_121
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_121])]) ).
fof(f732,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl33_15
| ~ spl33_35 ),
inference(resolution,[],[f692,f598]) ).
fof(f1211,plain,
spl33_120,
inference(avatar_split_clause,[],[f506,f1209]) ).
fof(f506,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f421]) ).
fof(f421,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1207,plain,
spl33_119,
inference(avatar_split_clause,[],[f501,f1205]) ).
fof(f501,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ),
inference(equality_resolution,[],[f362]) ).
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(f1203,plain,
spl33_118,
inference(avatar_split_clause,[],[f474,f1201]) ).
fof(f1201,plain,
( spl33_118
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_118])]) ).
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(f1199,plain,
spl33_117,
inference(avatar_split_clause,[],[f448,f1197]) ).
fof(f1197,plain,
( spl33_117
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_117])]) ).
fof(f448,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1195,plain,
spl33_116,
inference(avatar_split_clause,[],[f439,f1193]) ).
fof(f439,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1191,plain,
spl33_115,
inference(avatar_split_clause,[],[f436,f1189]) ).
fof(f1189,plain,
( spl33_115
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_115])]) ).
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(f1187,plain,
spl33_114,
inference(avatar_split_clause,[],[f414,f1185]) ).
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/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f1183,plain,
spl33_113,
inference(avatar_split_clause,[],[f386,f1181]) ).
fof(f1181,plain,
( spl33_113
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_113])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1179,plain,
spl33_112,
inference(avatar_split_clause,[],[f385,f1177]) ).
fof(f385,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1175,plain,
( spl33_111
| ~ spl33_13
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f731,f691,f586,f1172]) ).
fof(f1172,plain,
( spl33_111
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_111])]) ).
fof(f731,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl33_13
| ~ spl33_35 ),
inference(resolution,[],[f692,f588]) ).
fof(f1170,plain,
spl33_110,
inference(avatar_split_clause,[],[f381,f1168]) ).
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/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f1166,plain,
spl33_109,
inference(avatar_split_clause,[],[f380,f1164]) ).
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/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f1162,plain,
spl33_108,
inference(avatar_split_clause,[],[f358,f1160]) ).
fof(f1160,plain,
( spl33_108
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_108])]) ).
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(f1158,plain,
spl33_107,
inference(avatar_split_clause,[],[f350,f1156]) ).
fof(f1156,plain,
( spl33_107
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_107])]) ).
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(f1153,plain,
spl33_106,
inference(avatar_split_clause,[],[f318,f1150]) ).
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/sandbox2/benchmark/theBenchmark.p',m__3989_02) ).
fof(f1142,plain,
( spl33_105
| ~ spl33_12
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f729,f687,f581,f1139]) ).
fof(f1139,plain,
( spl33_105
<=> sdtlseqdt0(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_105])]) ).
fof(f729,plain,
( sdtlseqdt0(xi,xi)
| ~ spl33_12
| ~ spl33_34 ),
inference(resolution,[],[f688,f583]) ).
fof(f1120,plain,
spl33_104,
inference(avatar_split_clause,[],[f520,f1118]) ).
fof(f520,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f478]) ).
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(f1116,plain,
spl33_103,
inference(avatar_split_clause,[],[f477,f1114]) ).
fof(f477,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1112,plain,
spl33_102,
inference(avatar_split_clause,[],[f438,f1110]) ).
fof(f438,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f1108,plain,
spl33_101,
inference(avatar_split_clause,[],[f416,f1106]) ).
fof(f1106,plain,
( spl33_101
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_101])]) ).
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/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1104,plain,
spl33_100,
inference(avatar_split_clause,[],[f402,f1102]) ).
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/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1100,plain,
spl33_99,
inference(avatar_split_clause,[],[f384,f1098]) ).
fof(f384,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f1090,plain,
( spl33_98
| ~ spl33_15
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f728,f687,f596,f1087]) ).
fof(f1087,plain,
( spl33_98
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f728,plain,
( sdtlseqdt0(xk,xk)
| ~ spl33_15
| ~ spl33_34 ),
inference(resolution,[],[f688,f598]) ).
fof(f1056,plain,
( spl33_97
| ~ spl33_13
| ~ spl33_34 ),
inference(avatar_split_clause,[],[f727,f687,f586,f1053]) ).
fof(f1053,plain,
( spl33_97
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_97])]) ).
fof(f727,plain,
( sdtlseqdt0(xK,xK)
| ~ spl33_13
| ~ spl33_34 ),
inference(resolution,[],[f688,f588]) ).
fof(f1049,plain,
spl33_96,
inference(avatar_split_clause,[],[f517,f1047]) ).
fof(f517,plain,
! [X0,X1] :
( sP9(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f466]) ).
fof(f466,plain,
! [X2,X0,X1] :
( sP9(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f1045,plain,
spl33_95,
inference(avatar_split_clause,[],[f514,f1043]) ).
fof(f514,plain,
! [X0,X1] :
( sP8(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f455]) ).
fof(f455,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f1041,plain,
spl33_94,
inference(avatar_split_clause,[],[f508,f1039]) ).
fof(f508,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1037,plain,
spl33_93,
inference(avatar_split_clause,[],[f476,f1035]) ).
fof(f476,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1033,plain,
spl33_92,
inference(avatar_split_clause,[],[f458,f1031]) ).
fof(f458,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1029,plain,
spl33_91,
inference(avatar_split_clause,[],[f434,f1027]) ).
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/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f1025,plain,
spl33_90,
inference(avatar_split_clause,[],[f426,f1023]) ).
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/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f1021,plain,
spl33_89,
inference(avatar_split_clause,[],[f407,f1019]) ).
fof(f407,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1017,plain,
( spl33_88
| ~ spl33_12
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f724,f683,f581,f1014]) ).
fof(f1014,plain,
( spl33_88
<=> isFinite0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_88])]) ).
fof(f724,plain,
( isFinite0(slbdtrb0(xi))
| ~ spl33_12
| ~ spl33_33 ),
inference(resolution,[],[f684,f583]) ).
fof(f1012,plain,
spl33_87,
inference(avatar_split_clause,[],[f401,f1010]) ).
fof(f401,plain,
! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f1008,plain,
spl33_86,
inference(avatar_split_clause,[],[f390,f1006]) ).
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/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f1004,plain,
spl33_85,
inference(avatar_split_clause,[],[f389,f1002]) ).
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/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f1000,plain,
spl33_84,
inference(avatar_split_clause,[],[f388,f998]) ).
fof(f998,plain,
( spl33_84
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_84])]) ).
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/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f996,plain,
spl33_83,
inference(avatar_split_clause,[],[f387,f994]) ).
fof(f994,plain,
( spl33_83
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_83])]) ).
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/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f992,plain,
spl33_82,
inference(avatar_split_clause,[],[f367,f990]) ).
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/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f984,plain,
( spl33_81
| ~ spl33_15
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f723,f683,f596,f981]) ).
fof(f981,plain,
( spl33_81
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_81])]) ).
fof(f723,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl33_15
| ~ spl33_33 ),
inference(resolution,[],[f684,f598]) ).
fof(f949,plain,
( spl33_80
| ~ spl33_13
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f722,f683,f586,f946]) ).
fof(f946,plain,
( spl33_80
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_80])]) ).
fof(f722,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl33_13
| ~ spl33_33 ),
inference(resolution,[],[f684,f588]) ).
fof(f942,plain,
spl33_79,
inference(avatar_split_clause,[],[f519,f940]) ).
fof(f519,plain,
! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f938,plain,
spl33_78,
inference(avatar_split_clause,[],[f513,f936]) ).
fof(f513,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP8(X4,X1,X2) ),
inference(equality_resolution,[],[f449]) ).
fof(f449,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f934,plain,
spl33_77,
inference(avatar_split_clause,[],[f511,f932]) ).
fof(f511,plain,
! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) ),
inference(equality_resolution,[],[f435]) ).
fof(f435,plain,
! [X2,X0,X1] :
( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f930,plain,
spl33_76,
inference(avatar_split_clause,[],[f500,f928]) ).
fof(f500,plain,
! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f357]) ).
fof(f357,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f926,plain,
spl33_75,
inference(avatar_split_clause,[],[f497,f924]) ).
fof(f497,plain,
! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f349]) ).
fof(f349,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f922,plain,
spl33_74,
inference(avatar_split_clause,[],[f457,f920]) ).
fof(f457,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f918,plain,
spl33_73,
inference(avatar_split_clause,[],[f446,f916]) ).
fof(f446,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f914,plain,
spl33_72,
inference(avatar_split_clause,[],[f433,f912]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f910,plain,
spl33_71,
inference(avatar_split_clause,[],[f425,f908]) ).
fof(f425,plain,
! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f906,plain,
spl33_70,
inference(avatar_split_clause,[],[f417,f904]) ).
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/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f902,plain,
spl33_69,
inference(avatar_split_clause,[],[f406,f900]) ).
fof(f406,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f898,plain,
spl33_68,
inference(avatar_split_clause,[],[f404,f896]) ).
fof(f896,plain,
( spl33_68
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
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(f894,plain,
spl33_67,
inference(avatar_split_clause,[],[f375,f892]) ).
fof(f892,plain,
( spl33_67
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f375,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(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/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f890,plain,
spl33_66,
inference(avatar_split_clause,[],[f366,f888]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f886,plain,
spl33_65,
inference(avatar_split_clause,[],[f356,f884]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(f879,plain,
spl33_64,
inference(avatar_split_clause,[],[f317,f876]) ).
fof(f876,plain,
( spl33_64
<=> xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_64])]) ).
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/sandbox2/benchmark/theBenchmark.p',m__4007) ).
fof(f872,plain,
( spl33_63
| ~ spl33_16
| ~ spl33_27 ),
inference(avatar_split_clause,[],[f655,f651,f601,f869]) ).
fof(f655,plain,
( sP5(sz00)
| ~ spl33_16
| ~ spl33_27 ),
inference(resolution,[],[f652,f603]) ).
fof(f845,plain,
spl33_62,
inference(avatar_split_clause,[],[f522,f843]) ).
fof(f522,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f521]) ).
fof(f521,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f494]) ).
fof(f494,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f841,plain,
spl33_61,
inference(avatar_split_clause,[],[f518,f839]) ).
fof(f839,plain,
( spl33_61
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_61])]) ).
fof(f518,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f465]) ).
fof(f465,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f837,plain,
spl33_60,
inference(avatar_split_clause,[],[f515,f835]) ).
fof(f835,plain,
( spl33_60
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_60])]) ).
fof(f515,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f454]) ).
fof(f454,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f833,plain,
spl33_59,
inference(avatar_split_clause,[],[f482,f831]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f829,plain,
spl33_58,
inference(avatar_split_clause,[],[f398,f827]) ).
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/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f825,plain,
spl33_57,
inference(avatar_split_clause,[],[f378,f823]) ).
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/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f821,plain,
spl33_56,
inference(avatar_split_clause,[],[f377,f819]) ).
fof(f819,plain,
( spl33_56
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_56])]) ).
fof(f377,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f817,plain,
spl33_55,
inference(avatar_split_clause,[],[f352,f815]) ).
fof(f352,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f811,plain,
spl33_54,
inference(avatar_split_clause,[],[f333,f809]) ).
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/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f788,plain,
spl33_53,
inference(avatar_split_clause,[],[f516,f786]) ).
fof(f516,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP9(X4,X1,X2) ),
inference(equality_resolution,[],[f459]) ).
fof(f459,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f784,plain,
spl33_52,
inference(avatar_split_clause,[],[f444,f782]) ).
fof(f782,plain,
( spl33_52
<=> ! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_52])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f780,plain,
spl33_51,
inference(avatar_split_clause,[],[f400,f778]) ).
fof(f778,plain,
( spl33_51
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_51])]) ).
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/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f776,plain,
spl33_50,
inference(avatar_split_clause,[],[f399,f774]) ).
fof(f399,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f772,plain,
spl33_49,
inference(avatar_split_clause,[],[f397,f770]) ).
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/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f768,plain,
spl33_48,
inference(avatar_split_clause,[],[f396,f766]) ).
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/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f764,plain,
spl33_47,
inference(avatar_split_clause,[],[f395,f762]) ).
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/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f760,plain,
spl33_46,
inference(avatar_split_clause,[],[f394,f758]) ).
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/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f756,plain,
spl33_45,
inference(avatar_split_clause,[],[f383,f754]) ).
fof(f383,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f752,plain,
spl33_44,
inference(avatar_split_clause,[],[f379,f750]) ).
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/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f746,plain,
spl33_43,
inference(avatar_split_clause,[],[f334,f744]) ).
fof(f334,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f740,plain,
( spl33_42
| ~ spl33_12
| ~ spl33_27 ),
inference(avatar_split_clause,[],[f658,f651,f581,f737]) ).
fof(f737,plain,
( spl33_42
<=> sP5(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_42])]) ).
fof(f658,plain,
( sP5(xi)
| ~ spl33_12
| ~ spl33_27 ),
inference(resolution,[],[f652,f583]) ).
fof(f720,plain,
spl33_41,
inference(avatar_split_clause,[],[f503,f718]) ).
fof(f503,plain,
! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f403]) ).
fof(f403,plain,
! [X0,X1] :
( sP4(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f715,plain,
( ~ spl33_10
| spl33_40 ),
inference(avatar_split_clause,[],[f502,f712,f571]) ).
fof(f502,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f376]) ).
fof(f376,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f710,plain,
( spl33_39
| ~ spl33_15
| ~ spl33_27 ),
inference(avatar_split_clause,[],[f657,f651,f596,f707]) ).
fof(f707,plain,
( spl33_39
<=> sP5(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_39])]) ).
fof(f657,plain,
( sP5(xk)
| ~ spl33_15
| ~ spl33_27 ),
inference(resolution,[],[f652,f598]) ).
fof(f705,plain,
spl33_38,
inference(avatar_split_clause,[],[f475,f703]) ).
fof(f475,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
fof(f701,plain,
spl33_37,
inference(avatar_split_clause,[],[f437,f699]) ).
fof(f437,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f697,plain,
spl33_36,
inference(avatar_split_clause,[],[f418,f695]) ).
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/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f693,plain,
spl33_35,
inference(avatar_split_clause,[],[f393,f691]) ).
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/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f689,plain,
spl33_34,
inference(avatar_split_clause,[],[f392,f687]) ).
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/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f685,plain,
spl33_33,
inference(avatar_split_clause,[],[f391,f683]) ).
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/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f681,plain,
spl33_32,
inference(avatar_split_clause,[],[f359,f679]) ).
fof(f359,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f677,plain,
spl33_31,
inference(avatar_split_clause,[],[f351,f675]) ).
fof(f351,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f673,plain,
( spl33_30
| ~ spl33_13
| ~ spl33_27 ),
inference(avatar_split_clause,[],[f656,f651,f586,f670]) ).
fof(f670,plain,
( spl33_30
<=> sP5(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f656,plain,
( sP5(xK)
| ~ spl33_13
| ~ spl33_27 ),
inference(resolution,[],[f652,f588]) ).
fof(f668,plain,
spl33_29,
inference(avatar_split_clause,[],[f321,f665]) ).
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/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f663,plain,
spl33_28,
inference(avatar_split_clause,[],[f320,f660]) ).
fof(f320,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f653,plain,
spl33_27,
inference(avatar_split_clause,[],[f412,f651]) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f649,plain,
spl33_26,
inference(avatar_split_clause,[],[f405,f647]) ).
fof(f405,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f645,plain,
spl33_25,
inference(avatar_split_clause,[],[f374,f643]) ).
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/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f641,plain,
spl33_24,
inference(avatar_split_clause,[],[f373,f639]) ).
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/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f637,plain,
spl33_23,
inference(avatar_split_clause,[],[f346,f635]) ).
fof(f635,plain,
( spl33_23
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
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/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f633,plain,
spl33_22,
inference(avatar_split_clause,[],[f324,f630]) ).
fof(f324,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f99]) ).
fof(f628,plain,
( ~ spl33_10
| ~ spl33_21 ),
inference(avatar_split_clause,[],[f504,f625,f571]) ).
fof(f504,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f419]) ).
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/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f623,plain,
spl33_20,
inference(avatar_split_clause,[],[f343,f620]) ).
fof(f343,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f618,plain,
spl33_19,
inference(avatar_split_clause,[],[f332,f615]) ).
fof(f332,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f613,plain,
spl33_18,
inference(avatar_split_clause,[],[f323,f610]) ).
fof(f323,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f99]) ).
fof(f608,plain,
spl33_17,
inference(avatar_split_clause,[],[f509,f606]) ).
fof(f509,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f432]) ).
fof(f432,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f604,plain,
spl33_16,
inference(avatar_split_clause,[],[f342,f601]) ).
fof(f342,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f599,plain,
spl33_15,
inference(avatar_split_clause,[],[f331,f596]) ).
fof(f331,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f594,plain,
spl33_14,
inference(avatar_split_clause,[],[f329,f591]) ).
fof(f329,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f589,plain,
spl33_13,
inference(avatar_split_clause,[],[f316,f586]) ).
fof(f316,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f584,plain,
spl33_12,
inference(avatar_split_clause,[],[f315,f581]) ).
fof(f315,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).
fof(f579,plain,
~ spl33_11,
inference(avatar_split_clause,[],[f313,f576]) ).
fof(f313,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(f574,plain,
spl33_10,
inference(avatar_split_clause,[],[f510,f571]) ).
fof(f510,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f431]) ).
fof(f431,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f569,plain,
spl33_9,
inference(avatar_split_clause,[],[f345,f566]) ).
fof(f345,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f564,plain,
spl33_8,
inference(avatar_split_clause,[],[f344,f561]) ).
fof(f344,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f559,plain,
spl33_7,
inference(avatar_split_clause,[],[f341,f556]) ).
fof(f341,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f554,plain,
spl33_6,
inference(avatar_split_clause,[],[f330,f551]) ).
fof(f330,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f549,plain,
spl33_5,
inference(avatar_split_clause,[],[f328,f546]) ).
fof(f328,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f544,plain,
spl33_4,
inference(avatar_split_clause,[],[f327,f541]) ).
fof(f327,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f539,plain,
spl33_3,
inference(avatar_split_clause,[],[f322,f536]) ).
fof(f322,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f99]) ).
fof(f534,plain,
spl33_2,
inference(avatar_split_clause,[],[f319,f531]) ).
fof(f531,plain,
( spl33_2
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f319,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f529,plain,
~ spl33_1,
inference(avatar_split_clause,[],[f312,f526]) ).
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/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:57:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22180)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (22183)WARNING: value z3 for option sas not known
% 0.13/0.37 % (22184)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (22187)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (22186)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (22185)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (22181)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (22182)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (22183)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.13/0.41 TRYING [3]
% 0.20/0.45 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.46 TRYING [3]
% 0.20/0.47 TRYING [4]
% 0.20/0.47 TRYING [4]
% 0.20/0.48 % (22185)First to succeed.
% 0.20/0.49 % (22185)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22180"
% 0.20/0.49 % (22185)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (22185)------------------------------
% 0.20/0.50 % (22185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.50 % (22185)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (22185)Memory used [KB]: 3469
% 0.20/0.50 % (22185)Time elapsed: 0.125 s
% 0.20/0.50 % (22185)Instructions burned: 252 (million)
% 0.20/0.50 % (22180)Success in time 0.141 s
%------------------------------------------------------------------------------