TSTP Solution File: NUM554+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM554+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 08:37:58 EDT 2024
% Result : Theorem 2.43s 0.75s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 693
% Syntax : Number of formulae : 2269 ( 195 unt; 0 def)
% Number of atoms : 9442 ( 983 equ)
% Maximal formula atoms : 43 ( 4 avg)
% Number of connectives : 12086 (4913 ~;5869 |; 515 &)
% ( 669 <=>; 120 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 623 ( 621 usr; 609 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-3 aty)
% Number of variables : 2465 (2400 !; 65 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11260,plain,
$false,
inference(avatar_sat_refutation,[],[f444,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f542,f547,f552,f557,f562,f567,f572,f577,f581,f586,f591,f600,f605,f609,f613,f617,f621,f628,f633,f637,f642,f646,f650,f654,f659,f664,f678,f683,f687,f692,f696,f701,f707,f711,f715,f719,f723,f727,f731,f735,f740,f759,f763,f767,f773,f777,f781,f785,f789,f793,f797,f823,f827,f832,f838,f842,f846,f850,f854,f858,f862,f866,f871,f875,f879,f919,f924,f928,f936,f940,f944,f948,f953,f957,f961,f965,f969,f973,f977,f981,f985,f993,f1037,f1041,f1045,f1060,f1064,f1068,f1072,f1076,f1097,f1101,f1111,f1115,f1119,f1123,f1127,f1131,f1135,f1139,f1219,f1231,f1235,f1242,f1246,f1250,f1254,f1271,f1275,f1279,f1283,f1287,f1291,f1295,f1299,f1346,f1371,f1375,f1379,f1383,f1387,f1391,f1413,f1417,f1421,f1425,f1429,f1433,f1437,f1441,f1445,f1449,f1453,f1457,f1611,f1615,f1619,f1623,f1720,f1724,f1774,f1778,f1782,f1786,f1790,f1883,f1892,f1925,f1929,f1961,f1965,f1970,f1991,f2051,f2055,f2067,f2109,f2114,f2123,f2128,f2132,f2137,f2142,f2184,f2189,f2197,f2203,f2208,f2213,f2222,f2228,f2251,f2256,f2285,f2289,f2293,f2297,f2301,f2327,f2350,f2354,f2383,f2387,f2391,f2400,f2404,f2439,f2460,f2464,f2469,f2478,f2487,f2492,f2500,f2504,f2509,f2536,f2540,f2545,f2549,f2553,f2557,f2561,f2566,f2595,f2600,f2604,f2605,f2612,f2621,f2626,f2630,f2641,f2654,f2736,f2742,f2751,f2756,f2760,f2764,f2768,f2778,f2786,f2790,f2794,f2799,f2806,f2810,f2814,f2831,f2835,f2840,f2844,f2979,f3019,f3023,f3033,f3038,f3048,f3107,f3111,f3115,f3119,f3123,f3156,f3160,f3164,f3169,f3177,f3181,f3185,f3195,f3199,f3203,f3207,f3225,f3229,f3356,f3367,f3377,f3383,f3392,f3406,f3411,f3430,f3443,f3448,f3488,f3492,f3497,f3501,f3505,f3509,f3514,f3520,f3526,f3672,f3676,f3681,f3711,f3716,f3753,f3757,f3761,f3765,f3789,f3799,f3809,f3816,f3820,f3844,f3911,f3916,f3920,f3934,f3938,f3942,f3946,f3979,f3983,f3992,f3996,f4000,f4004,f4010,f4022,f4030,f4034,f4038,f4042,f4187,f4204,f4215,f4239,f4245,f4275,f4284,f4289,f4302,f4317,f4321,f4333,f4337,f4361,f4365,f4370,f4386,f4390,f4394,f4398,f4402,f4411,f4415,f4419,f4423,f4427,f4431,f4435,f4439,f4443,f4447,f4451,f4455,f4854,f4866,f4906,f4945,f4949,f4953,f4967,f4981,f5088,f5097,f5125,f5135,f5159,f5163,f5191,f5195,f5199,f5203,f5207,f5211,f5215,f5219,f5223,f5235,f5239,f5243,f5312,f5330,f5738,f5751,f5756,f5762,f5766,f5775,f5780,f5809,f5813,f5817,f5865,f5869,f5873,f5877,f5884,f5888,f5892,f5909,f5913,f6125,f6166,f6171,f6177,f6250,f6255,f6264,f6273,f6278,f6299,f6303,f6307,f6311,f6326,f6330,f6334,f6338,f6343,f6347,f6351,f6359,f6369,f6387,f6405,f6409,f6629,f6653,f6677,f6713,f6749,f6750,f6758,f6762,f6798,f6802,f6806,f6810,f6814,f6818,f6835,f6839,f6843,f6847,f6851,f6859,f6906,f6951,f7215,f7223,f7227,f7242,f7264,f7273,f7282,f7301,f7307,f7311,f7315,f7319,f7323,f7347,f7355,f7359,f7363,f7367,f7371,f7389,f7393,f7482,f7529,f7533,f7577,f7623,f7656,f7689,f7693,f7700,f7704,f7708,f7712,f7716,f7720,f7724,f7746,f8035,f8065,f8113,f8122,f8127,f8146,f8157,f8170,f8177,f8207,f8225,f8230,f8239,f8251,f8258,f8277,f8286,f8291,f8303,f8335,f8349,f8353,f8357,f8361,f8362,f8371,f8375,f8379,f8383,f8387,f8391,f8401,f8415,f8419,f8423,f8639,f8865,f8872,f8901,f8925,f8949,f8953,f8957,f8961,f8965,f8969,f8978,f8982,f8986,f8990,f8994,f8998,f9002,f9568,f9572,f9576,f9580,f9584,f9588,f9661,f9671,f9675,f9679,f9684,f9688,f10020,f10097,f10222,f10351,f10378,f10419,f10446,f10450,f10454,f10473,f10492,f10496,f10502,f10506,f10802,f10806,f10807,f10876,f10880,f10884,f10888,f10892,f10914,f10918,f11133,f11148,f11177,f11206,f11210,f11214,f11218,f11222,f11242,f11259]) ).
fof(f11259,plain,
( spl22_513
| ~ spl22_39
| ~ spl22_557 ),
inference(avatar_split_clause,[],[f9053,f8971,f626,f8110]) ).
fof(f8110,plain,
( spl22_513
<=> aElementOf0(sK6,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_513])]) ).
fof(f626,plain,
( spl22_39
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
fof(f8971,plain,
( spl22_557
<=> aElementOf0(sK6,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_557])]) ).
fof(f9053,plain,
( aElementOf0(sK6,xS)
| ~ spl22_39
| ~ spl22_557 ),
inference(resolution,[],[f8973,f627]) ).
fof(f627,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) )
| ~ spl22_39 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f8973,plain,
( aElementOf0(sK6,xQ)
| ~ spl22_557 ),
inference(avatar_component_clause,[],[f8971]) ).
fof(f11242,plain,
( ~ spl22_25
| spl22_608
| ~ spl22_64
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1644,f1613,f761,f11240,f559]) ).
fof(f559,plain,
( spl22_25
<=> aSet0(slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f11240,plain,
( spl22_608
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,slbdtsldtrb0(xT,xk))),X0)
| aSubsetOf0(sK13(X0,slbdtsldtrb0(xT,xk)),xT)
| sP0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_608])]) ).
fof(f761,plain,
( spl22_64
<=> ! [X5] :
( aSubsetOf0(X5,xT)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_64])]) ).
fof(f1613,plain,
( spl22_158
<=> ! [X0,X1] :
( sP0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_158])]) ).
fof(f1644,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,slbdtsldtrb0(xT,xk))),X0)
| sP0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK13(X0,slbdtsldtrb0(xT,xk)),xT) )
| ~ spl22_64
| ~ spl22_158 ),
inference(resolution,[],[f1614,f762]) ).
fof(f762,plain,
( ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| aSubsetOf0(X5,xT) )
| ~ spl22_64 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f1614,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1) )
| ~ spl22_158 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f11222,plain,
( ~ spl22_23
| spl22_607
| ~ spl22_63
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1633,f1613,f757,f11220,f549]) ).
fof(f549,plain,
( spl22_23
<=> aSet0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
fof(f11220,plain,
( spl22_607
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,sdtmndt0(xQ,xy))),X0)
| aElementOf0(sK13(X0,sdtmndt0(xQ,xy)),xQ)
| sP0(X0,sdtmndt0(xQ,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_607])]) ).
fof(f757,plain,
( spl22_63
<=> ! [X1] :
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_63])]) ).
fof(f1633,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,sdtmndt0(xQ,xy))),X0)
| sP0(X0,sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK13(X0,sdtmndt0(xQ,xy)),xQ) )
| ~ spl22_63
| ~ spl22_158 ),
inference(resolution,[],[f1614,f758]) ).
fof(f758,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElementOf0(X1,xQ) )
| ~ spl22_63 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f11218,plain,
( spl22_606
| ~ spl22_106
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1570,f1431,f1043,f11216]) ).
fof(f11216,plain,
( spl22_606
<=> ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X2,sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_606])]) ).
fof(f1043,plain,
( spl22_106
<=> ! [X1,X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_106])]) ).
fof(f1431,plain,
( spl22_150
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElement0(sK19(X0,X1,X2))
| aElementOf0(sK19(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_150])]) ).
fof(f1570,plain,
( ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X2,sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| aElementOf0(X2,xS) )
| ~ spl22_106
| ~ spl22_150 ),
inference(resolution,[],[f1432,f1044]) ).
fof(f1044,plain,
( ! [X3,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,xS) )
| ~ spl22_106 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1432,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK19(X0,X1,X2),X2)
| aElement0(sK19(X0,X1,X2))
| sP3(X0,X1,X2) )
| ~ spl22_150 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f11214,plain,
( spl22_605
| ~ spl22_105
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1566,f1431,f1039,f11212]) ).
fof(f11212,plain,
( spl22_605
<=> ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X2,sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| aElementOf0(X2,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_605])]) ).
fof(f1039,plain,
( spl22_105
<=> ! [X5,X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_105])]) ).
fof(f1566,plain,
( ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X2,sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| aElementOf0(X2,xT) )
| ~ spl22_105
| ~ spl22_150 ),
inference(resolution,[],[f1432,f1040]) ).
fof(f1040,plain,
( ! [X7,X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X7,X5)
| aElementOf0(X7,xT) )
| ~ spl22_105 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f11210,plain,
( spl22_604
| ~ spl22_106
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1539,f1419,f1043,f11208]) ).
fof(f11208,plain,
( spl22_604
<=> ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X2,sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_604])]) ).
fof(f1419,plain,
( spl22_147
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElement0(sK18(X0,X1,X2))
| aElementOf0(sK18(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_147])]) ).
fof(f1539,plain,
( ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(X2,sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| aElementOf0(X2,xS) )
| ~ spl22_106
| ~ spl22_147 ),
inference(resolution,[],[f1420,f1044]) ).
fof(f1420,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK18(X0,X1,X2),X2)
| aElement0(sK18(X0,X1,X2))
| sP2(X0,X1,X2) )
| ~ spl22_147 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f11206,plain,
( spl22_603
| ~ spl22_105
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1535,f1419,f1039,f11204]) ).
fof(f11204,plain,
( spl22_603
<=> ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X2,sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| aElementOf0(X2,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_603])]) ).
fof(f1535,plain,
( ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X2,sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| aElementOf0(X2,xT) )
| ~ spl22_105
| ~ spl22_147 ),
inference(resolution,[],[f1420,f1040]) ).
fof(f11177,plain,
( ~ spl22_24
| spl22_602
| ~ spl22_74
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1512,f1415,f825,f11175,f554]) ).
fof(f554,plain,
( spl22_24
<=> aSet0(slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f11175,plain,
( spl22_602
<=> ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xS,xk)),szNzAzT0)
| xk = sbrdtbr0(sK13(X0,slbdtsldtrb0(xS,xk)))
| sP0(X0,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_602])]) ).
fof(f825,plain,
( spl22_74
<=> ! [X1] :
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_74])]) ).
fof(f1415,plain,
( spl22_146
<=> ! [X0,X1] :
( sP0(X0,X1)
| aElementOf0(sK13(X0,X1),szNzAzT0)
| aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_146])]) ).
fof(f1512,plain,
( ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xS,xk)),szNzAzT0)
| sP0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK13(X0,slbdtsldtrb0(xS,xk))) )
| ~ spl22_74
| ~ spl22_146 ),
inference(resolution,[],[f1416,f826]) ).
fof(f826,plain,
( ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) = xk )
| ~ spl22_74 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f1416,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1) )
| ~ spl22_146 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f11148,plain,
( ~ spl22_25
| spl22_601
| ~ spl22_73
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1507,f1415,f821,f11146,f559]) ).
fof(f11146,plain,
( spl22_601
<=> ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xT,xk)),szNzAzT0)
| xk = sbrdtbr0(sK13(X0,slbdtsldtrb0(xT,xk)))
| sP0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_601])]) ).
fof(f821,plain,
( spl22_73
<=> ! [X5] :
( xk = sbrdtbr0(X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_73])]) ).
fof(f1507,plain,
( ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xT,xk)),szNzAzT0)
| sP0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK13(X0,slbdtsldtrb0(xT,xk))) )
| ~ spl22_73
| ~ spl22_146 ),
inference(resolution,[],[f1416,f822]) ).
fof(f822,plain,
( ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(X5) )
| ~ spl22_73 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f11133,plain,
( ~ spl22_23
| spl22_600
| ~ spl22_88
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1163,f1117,f922,f11131,f549]) ).
fof(f11131,plain,
( spl22_600
<=> ! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aElement0(sK11(X0,sdtmndt0(xQ,xy)))
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xP)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_600])]) ).
fof(f922,plain,
( spl22_88
<=> ! [X0] :
( aElementOf0(X0,xP)
| ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_88])]) ).
fof(f1117,plain,
( spl22_116
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK11(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_116])]) ).
fof(f1163,plain,
( ! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xP)
| ~ aElement0(sK11(X0,sdtmndt0(xQ,xy))) )
| ~ spl22_88
| ~ spl22_116 ),
inference(resolution,[],[f1118,f923]) ).
fof(f923,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| aElementOf0(X0,xP)
| ~ aElement0(X0) )
| ~ spl22_88 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f1118,plain,
( ! [X0,X1] :
( aElementOf0(sK11(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_116 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f10918,plain,
( spl22_599
| ~ spl22_126
| ~ spl22_171 ),
inference(avatar_split_clause,[],[f1976,f1959,f1244,f10916]) ).
fof(f10916,plain,
( spl22_599
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK13(X0,X1))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_599])]) ).
fof(f1244,plain,
( spl22_126
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_126])]) ).
fof(f1959,plain,
( spl22_171
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_171])]) ).
fof(f1976,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK13(X0,X1))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_126
| ~ spl22_171 ),
inference(duplicate_literal_removal,[],[f1972]) ).
fof(f1972,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK13(X0,X1))
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_126
| ~ spl22_171 ),
inference(resolution,[],[f1960,f1245]) ).
fof(f1245,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_126 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1960,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) )
| ~ spl22_171 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f10914,plain,
( spl22_598
| ~ spl22_126
| ~ spl22_167 ),
inference(avatar_split_clause,[],[f1880,f1788,f1244,f10912]) ).
fof(f10912,plain,
( spl22_598
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_598])]) ).
fof(f1788,plain,
( spl22_167
<=> ! [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,[spl22_167])]) ).
fof(f1880,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl22_126
| ~ spl22_167 ),
inference(duplicate_literal_removal,[],[f1873]) ).
fof(f1873,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl22_126
| ~ spl22_167 ),
inference(resolution,[],[f1789,f1245]) ).
fof(f1789,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_167 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f10892,plain,
( ~ spl22_11
| spl22_597
| ~ spl22_68
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1834,f1780,f779,f10890,f490]) ).
fof(f490,plain,
( spl22_11
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f10890,plain,
( spl22_597
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sK21(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK21(X0,X1,szNzAzT0)))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_597])]) ).
fof(f779,plain,
( spl22_68
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_68])]) ).
fof(f1780,plain,
( spl22_165
<=> ! [X2,X0,X1] :
( sP4(X0,X1,X2)
| aSubsetOf0(sK21(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_165])]) ).
fof(f1834,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sK21(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK21(X0,X1,szNzAzT0))) )
| ~ spl22_68
| ~ spl22_165 ),
inference(resolution,[],[f1781,f780]) ).
fof(f780,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl22_68 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1781,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK21(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl22_165 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f10888,plain,
( spl22_596
| ~ spl22_107
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1820,f1780,f1058,f10886]) ).
fof(f10886,plain,
( spl22_596
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,sK21(X0,X1,X2))
| aElementOf0(X3,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_596])]) ).
fof(f1058,plain,
( spl22_107
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_107])]) ).
fof(f1820,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,sK21(X0,X1,X2))
| aElementOf0(X3,X1)
| ~ aSet0(X1) )
| ~ spl22_107
| ~ spl22_165 ),
inference(resolution,[],[f1781,f1059]) ).
fof(f1059,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl22_107 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f10884,plain,
( spl22_595
| ~ spl22_117
| ~ spl22_161 ),
inference(avatar_split_clause,[],[f1757,f1718,f1121,f10882]) ).
fof(f10882,plain,
( spl22_595
<=> ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK11(X0,X1)))
| ~ aElement0(sK11(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_595])]) ).
fof(f1121,plain,
( spl22_117
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK11(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_117])]) ).
fof(f1718,plain,
( spl22_161
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_161])]) ).
fof(f1757,plain,
( ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK11(X0,X1)))
| ~ aElement0(sK11(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) )
| ~ spl22_117
| ~ spl22_161 ),
inference(duplicate_literal_removal,[],[f1756]) ).
fof(f1756,plain,
( ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK11(X0,X1)))
| ~ aElement0(sK11(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_117
| ~ spl22_161 ),
inference(resolution,[],[f1719,f1122]) ).
fof(f1122,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK11(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_117 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1719,plain,
( ! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_161 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f10880,plain,
( spl22_594
| ~ spl22_145
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1655,f1613,f1411,f10878]) ).
fof(f10878,plain,
( spl22_594
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK13(X0,X1))))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_594])]) ).
fof(f1411,plain,
( spl22_145
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_145])]) ).
fof(f1655,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK13(X0,X1))))
| ~ isFinite0(X1) )
| ~ spl22_145
| ~ spl22_158 ),
inference(duplicate_literal_removal,[],[f1628]) ).
fof(f1628,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK13(X0,X1))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl22_145
| ~ spl22_158 ),
inference(resolution,[],[f1614,f1412]) ).
fof(f1412,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_145 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f10876,plain,
( spl22_593
| ~ spl22_123
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1625,f1613,f1229,f10874]) ).
fof(f10874,plain,
( spl22_593
<=> ! [X2,X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK13(X0,X1),X2)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_593])]) ).
fof(f1229,plain,
( spl22_123
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_123])]) ).
fof(f1625,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK13(X0,X1),X2)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ sP0(X0,X2) )
| ~ spl22_123
| ~ spl22_158 ),
inference(resolution,[],[f1614,f1230]) ).
fof(f1230,plain,
( ! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP0(X0,X1) )
| ~ spl22_123 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f10807,plain,
( spl22_513
| ~ spl22_15
| ~ spl22_558 ),
inference(avatar_split_clause,[],[f10403,f8975,f510,f8110]) ).
fof(f510,plain,
( spl22_15
<=> aElementOf0(xx,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f8975,plain,
( spl22_558
<=> xx = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_558])]) ).
fof(f10403,plain,
( aElementOf0(sK6,xS)
| ~ spl22_15
| ~ spl22_558 ),
inference(superposition,[],[f512,f8977]) ).
fof(f8977,plain,
( xx = sK6
| ~ spl22_558 ),
inference(avatar_component_clause,[],[f8975]) ).
fof(f512,plain,
( aElementOf0(xx,xS)
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f10806,plain,
( ~ spl22_11
| spl22_592
| ~ spl22_114
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1490,f1415,f1109,f10804,f490]) ).
fof(f10804,plain,
( spl22_592
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK13(X0,X1)),sK13(X0,X1))
| ~ aSet0(X1)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_592])]) ).
fof(f1109,plain,
( spl22_114
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_114])]) ).
fof(f1490,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK13(X0,X1)),sK13(X0,X1))
| ~ aSet0(szNzAzT0) )
| ~ spl22_114
| ~ spl22_146 ),
inference(resolution,[],[f1416,f1110]) ).
fof(f1110,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl22_114 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f10802,plain,
( spl22_591
| ~ spl22_72
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1458,f1411,f795,f10800]) ).
fof(f10800,plain,
( spl22_591
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_591])]) ).
fof(f795,plain,
( spl22_72
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_72])]) ).
fof(f1458,plain,
( ! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_72
| ~ spl22_145 ),
inference(resolution,[],[f1412,f796]) ).
fof(f796,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl22_72 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f10506,plain,
( spl22_590
| ~ spl22_74
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1701,f1617,f825,f10504]) ).
fof(f10504,plain,
( spl22_590
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xS,xk),X1)
| xk = sbrdtbr0(sK19(X0,slbdtsldtrb0(xS,xk),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_590])]) ).
fof(f1617,plain,
( spl22_159
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK19(X0,X1,X2),X1)
| aElementOf0(sK19(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_159])]) ).
fof(f1701,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xS,xk),X1)
| xk = sbrdtbr0(sK19(X0,slbdtsldtrb0(xS,xk),X1)) )
| ~ spl22_74
| ~ spl22_159 ),
inference(resolution,[],[f1618,f826]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK19(X0,X1,X2),X2)
| aElementOf0(sK19(X0,X1,X2),X1)
| sP3(X0,X1,X2) )
| ~ spl22_159 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f10502,plain,
( spl22_589
| ~ spl22_73
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1696,f1617,f821,f10500]) ).
fof(f10500,plain,
( spl22_589
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xT,xk),X1)
| xk = sbrdtbr0(sK19(X0,slbdtsldtrb0(xT,xk),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_589])]) ).
fof(f1696,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xT,xk),X1)
| xk = sbrdtbr0(sK19(X0,slbdtsldtrb0(xT,xk),X1)) )
| ~ spl22_73
| ~ spl22_159 ),
inference(resolution,[],[f1618,f822]) ).
fof(f10496,plain,
( spl22_588
| ~ spl22_74
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1676,f1617,f825,f10494]) ).
fof(f10494,plain,
( spl22_588
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_588])]) ).
fof(f1676,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) )
| ~ spl22_74
| ~ spl22_159 ),
inference(resolution,[],[f1618,f826]) ).
fof(f10492,plain,
( spl22_587
| ~ spl22_73
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1671,f1617,f821,f10490]) ).
fof(f10490,plain,
( spl22_587
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_587])]) ).
fof(f1671,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) )
| ~ spl22_73
| ~ spl22_159 ),
inference(resolution,[],[f1618,f822]) ).
fof(f10473,plain,
( ~ spl22_24
| spl22_586
| ~ spl22_52
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1650,f1613,f694,f10471,f554]) ).
fof(f10471,plain,
( spl22_586
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,slbdtsldtrb0(xS,xk))),X0)
| aSet0(sK13(X0,slbdtsldtrb0(xS,xk)))
| sP0(X0,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_586])]) ).
fof(f694,plain,
( spl22_52
<=> ! [X1] :
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).
fof(f1650,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,slbdtsldtrb0(xS,xk))),X0)
| sP0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK13(X0,slbdtsldtrb0(xS,xk))) )
| ~ spl22_52
| ~ spl22_158 ),
inference(resolution,[],[f1614,f695]) ).
fof(f695,plain,
( ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSet0(X1) )
| ~ spl22_52 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f10454,plain,
( ~ spl22_25
| spl22_585
| ~ spl22_50
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1645,f1613,f685,f10452,f559]) ).
fof(f10452,plain,
( spl22_585
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,slbdtsldtrb0(xT,xk))),X0)
| aSet0(sK13(X0,slbdtsldtrb0(xT,xk)))
| sP0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_585])]) ).
fof(f685,plain,
( spl22_50
<=> ! [X5] :
( aSet0(X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).
fof(f1645,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,slbdtsldtrb0(xT,xk))),X0)
| sP0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK13(X0,slbdtsldtrb0(xT,xk))) )
| ~ spl22_50
| ~ spl22_158 ),
inference(resolution,[],[f1614,f686]) ).
fof(f686,plain,
( ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| aSet0(X5) )
| ~ spl22_50 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f10450,plain,
( spl22_584
| ~ spl22_89
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1571,f1431,f926,f10448]) ).
fof(f10448,plain,
( spl22_584
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_584])]) ).
fof(f926,plain,
( spl22_89
<=> ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_89])]) ).
fof(f1571,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk)) )
| ~ spl22_89
| ~ spl22_150 ),
inference(resolution,[],[f1432,f927]) ).
fof(f927,plain,
( ! [X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(xS,xk))
| aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
| ~ spl22_89 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f10446,plain,
( spl22_583
| ~ spl22_89
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1540,f1419,f926,f10444]) ).
fof(f10444,plain,
( spl22_583
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| aElementOf0(sK18(X0,X1,slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_583])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| aElementOf0(sK18(X0,X1,slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk)) )
| ~ spl22_89
| ~ spl22_147 ),
inference(resolution,[],[f1420,f927]) ).
fof(f10419,plain,
( ~ spl22_24
| spl22_582
| ~ spl22_65
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1513,f1415,f765,f10417,f554]) ).
fof(f10417,plain,
( spl22_582
<=> ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xS,xk)),szNzAzT0)
| aSubsetOf0(sK13(X0,slbdtsldtrb0(xS,xk)),xS)
| sP0(X0,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_582])]) ).
fof(f765,plain,
( spl22_65
<=> ! [X1] :
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_65])]) ).
fof(f1513,plain,
( ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xS,xk)),szNzAzT0)
| sP0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK13(X0,slbdtsldtrb0(xS,xk)),xS) )
| ~ spl22_65
| ~ spl22_146 ),
inference(resolution,[],[f1416,f766]) ).
fof(f766,plain,
( ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(X1,xS) )
| ~ spl22_65 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f10378,plain,
( ~ spl22_25
| spl22_581
| ~ spl22_64
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1508,f1415,f761,f10376,f559]) ).
fof(f10376,plain,
( spl22_581
<=> ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xT,xk)),szNzAzT0)
| aSubsetOf0(sK13(X0,slbdtsldtrb0(xT,xk)),xT)
| sP0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_581])]) ).
fof(f1508,plain,
( ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xT,xk)),szNzAzT0)
| sP0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK13(X0,slbdtsldtrb0(xT,xk)),xT) )
| ~ spl22_64
| ~ spl22_146 ),
inference(resolution,[],[f1416,f762]) ).
fof(f10351,plain,
( ~ spl22_23
| spl22_580
| ~ spl22_63
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1497,f1415,f757,f10349,f549]) ).
fof(f10349,plain,
( spl22_580
<=> ! [X0] :
( aElementOf0(sK13(X0,sdtmndt0(xQ,xy)),szNzAzT0)
| aElementOf0(sK13(X0,sdtmndt0(xQ,xy)),xQ)
| sP0(X0,sdtmndt0(xQ,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_580])]) ).
fof(f1497,plain,
( ! [X0] :
( aElementOf0(sK13(X0,sdtmndt0(xQ,xy)),szNzAzT0)
| sP0(X0,sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK13(X0,sdtmndt0(xQ,xy)),xQ) )
| ~ spl22_63
| ~ spl22_146 ),
inference(resolution,[],[f1416,f758]) ).
fof(f10222,plain,
( ~ spl22_24
| spl22_579
| ~ spl22_106
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1318,f1277,f1043,f10220,f554]) ).
fof(f10220,plain,
( spl22_579
<=> ! [X0,X1] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_579])]) ).
fof(f1277,plain,
( spl22_131
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_131])]) ).
fof(f1318,plain,
( ! [X0,X1] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
| ~ spl22_106
| ~ spl22_131 ),
inference(resolution,[],[f1278,f1044]) ).
fof(f1278,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl22_131 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f10097,plain,
( ~ spl22_25
| spl22_578
| ~ spl22_105
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1314,f1277,f1039,f10095,f559]) ).
fof(f10095,plain,
( spl22_578
<=> ! [X0,X1] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| aElementOf0(X1,xT)
| ~ aElementOf0(X1,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_578])]) ).
fof(f1314,plain,
( ! [X0,X1] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) )
| ~ spl22_105
| ~ spl22_131 ),
inference(resolution,[],[f1278,f1040]) ).
fof(f10020,plain,
( ~ spl22_23
| spl22_577
| ~ spl22_114
| ~ spl22_122 ),
inference(avatar_split_clause,[],[f1223,f1217,f1109,f10018,f549]) ).
fof(f10018,plain,
( spl22_577
<=> ! [X0] :
( xy = X0
| sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_577])]) ).
fof(f1217,plain,
( spl22_122
<=> ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_122])]) ).
fof(f1223,plain,
( ! [X0] :
( xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0)
| sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy)) )
| ~ spl22_114
| ~ spl22_122 ),
inference(resolution,[],[f1218,f1110]) ).
fof(f1218,plain,
( ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
| ~ spl22_122 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f9688,plain,
( spl22_576
| ~ spl22_43
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2030,f1989,f644,f9686]) ).
fof(f9686,plain,
( spl22_576
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,szNzAzT0,X1),X1)
| sK18(X0,szNzAzT0,X1) = X0
| sP2(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK18(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_576])]) ).
fof(f644,plain,
( spl22_43
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).
fof(f1989,plain,
( spl22_174
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1)
| aElementOf0(sK18(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_174])]) ).
fof(f2030,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,szNzAzT0,X1),X1)
| sK18(X0,szNzAzT0,X1) = X0
| sP2(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK18(X0,szNzAzT0,X1)) )
| ~ spl22_43
| ~ spl22_174 ),
inference(resolution,[],[f1990,f645]) ).
fof(f645,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl22_43 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1990,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK18(X0,X1,X2),X2)
| aElementOf0(sK18(X0,X1,X2),X1)
| sK18(X0,X1,X2) = X0
| sP2(X0,X1,X2) )
| ~ spl22_174 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f9684,plain,
( spl22_575
| ~ spl22_315
| ~ spl22_557 ),
inference(avatar_split_clause,[],[f9051,f8971,f3755,f9681]) ).
fof(f9681,plain,
( spl22_575
<=> aElementOf0(sK6,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_575])]) ).
fof(f3755,plain,
( spl22_315
<=> ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_315])]) ).
fof(f9051,plain,
( aElementOf0(sK6,xT)
| ~ spl22_315
| ~ spl22_557 ),
inference(resolution,[],[f8973,f3756]) ).
fof(f3756,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT) )
| ~ spl22_315 ),
inference(avatar_component_clause,[],[f3755]) ).
fof(f9679,plain,
( spl22_574
| ~ spl22_40
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2028,f1989,f631,f9677]) ).
fof(f9677,plain,
( spl22_574
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,szNzAzT0,X1),X1)
| sK18(X0,szNzAzT0,X1) = X0
| sP2(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK18(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_574])]) ).
fof(f631,plain,
( spl22_40
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).
fof(f2028,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,szNzAzT0,X1),X1)
| sK18(X0,szNzAzT0,X1) = X0
| sP2(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK18(X0,szNzAzT0,X1))) )
| ~ spl22_40
| ~ spl22_174 ),
inference(resolution,[],[f1990,f632]) ).
fof(f632,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl22_40 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f9675,plain,
( spl22_573
| ~ spl22_43
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2003,f1989,f644,f9673]) ).
fof(f9673,plain,
( spl22_573
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1,szNzAzT0),X1)
| sK18(X0,X1,szNzAzT0) = X0
| sP2(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK18(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_573])]) ).
fof(f2003,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1,szNzAzT0),X1)
| sK18(X0,X1,szNzAzT0) = X0
| sP2(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK18(X0,X1,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_174 ),
inference(resolution,[],[f1990,f645]) ).
fof(f9671,plain,
( spl22_572
| ~ spl22_40
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2001,f1989,f631,f9669]) ).
fof(f9669,plain,
( spl22_572
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1,szNzAzT0),X1)
| sK18(X0,X1,szNzAzT0) = X0
| sP2(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK18(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_572])]) ).
fof(f2001,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1,szNzAzT0),X1)
| sK18(X0,X1,szNzAzT0) = X0
| sP2(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK18(X0,X1,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_174 ),
inference(resolution,[],[f1990,f632]) ).
fof(f9661,plain,
( ~ spl22_11
| spl22_571
| ~ spl22_41
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1902,f1890,f635,f9659,f490]) ).
fof(f9659,plain,
( spl22_571
<=> ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sdtlseqdt0(sK21(X0,X1,szNzAzT0),sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_571])]) ).
fof(f635,plain,
( spl22_41
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
fof(f1890,plain,
( spl22_168
<=> ! [X2,X0,X1] :
( sP4(X0,X1,X2)
| sbrdtbr0(sK21(X0,X1,X2)) = X0
| aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_168])]) ).
fof(f1902,plain,
( ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK21(X0,X1,szNzAzT0),sK21(X0,X1,szNzAzT0)) )
| ~ spl22_41
| ~ spl22_168 ),
inference(resolution,[],[f1891,f636]) ).
fof(f636,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f1891,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sbrdtbr0(sK21(X0,X1,X2)) = X0
| sP4(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl22_168 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f9588,plain,
( ~ spl22_237
| spl22_209
| spl22_570
| ~ spl22_68
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1802,f1772,f779,f9586,f2397,f2618]) ).
fof(f2618,plain,
( spl22_237
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_237])]) ).
fof(f2397,plain,
( spl22_209
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_209])]) ).
fof(f9586,plain,
( spl22_570
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sK16(szNzAzT0,X0) = sbrdtbr0(slbdtrb0(sK16(szNzAzT0,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_570])]) ).
fof(f1772,plain,
( spl22_163
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK16(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_163])]) ).
fof(f1802,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sK16(szNzAzT0,X0) = sbrdtbr0(slbdtrb0(sK16(szNzAzT0,X0))) )
| ~ spl22_68
| ~ spl22_163 ),
inference(resolution,[],[f1773,f780]) ).
fof(f1773,plain,
( ! [X0,X1] :
( aElementOf0(sK16(X0,X1),X0)
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_163 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f9584,plain,
( spl22_569
| ~ spl22_145
| ~ spl22_161 ),
inference(avatar_split_clause,[],[f1761,f1718,f1411,f9582]) ).
fof(f9582,plain,
( spl22_569
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_569])]) ).
fof(f1761,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) )
| ~ spl22_145
| ~ spl22_161 ),
inference(duplicate_literal_removal,[],[f1725]) ).
fof(f1725,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_145
| ~ spl22_161 ),
inference(resolution,[],[f1719,f1412]) ).
fof(f9580,plain,
( spl22_568
| ~ spl22_114
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1654,f1613,f1109,f9578]) ).
fof(f9578,plain,
( spl22_568
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK13(X0,X1)),sK13(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_568])]) ).
fof(f1654,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK13(X0,X1)),sK13(X0,X1)) = X1 )
| ~ spl22_114
| ~ spl22_158 ),
inference(duplicate_literal_removal,[],[f1629]) ).
fof(f1629,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK13(X0,X1)),sK13(X0,X1)) = X1
| ~ aSet0(X1) )
| ~ spl22_114
| ~ spl22_158 ),
inference(resolution,[],[f1614,f1110]) ).
fof(f9576,plain,
( spl22_567
| ~ spl22_123
| ~ spl22_155 ),
inference(avatar_split_clause,[],[f1605,f1451,f1229,f9574]) ).
fof(f9574,plain,
( spl22_567
<=> ! [X2,X0,X1] :
( ~ aElementOf0(szszuzczcdt0(X0),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szmzazxdt0(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_567])]) ).
fof(f1451,plain,
( spl22_155
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_155])]) ).
fof(f1605,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(szszuzczcdt0(X0),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szmzazxdt0(X1),X2) )
| ~ spl22_123
| ~ spl22_155 ),
inference(resolution,[],[f1452,f1230]) ).
fof(f1452,plain,
( ! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_155 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f9572,plain,
( spl22_566
| ~ spl22_145
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1520,f1415,f1411,f9570]) ).
fof(f9570,plain,
( spl22_566
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK13(X0,X1))))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_566])]) ).
fof(f1520,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK13(X0,X1))))
| ~ isFinite0(X1) )
| ~ spl22_145
| ~ spl22_146 ),
inference(duplicate_literal_removal,[],[f1492]) ).
fof(f1492,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK13(X0,X1))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl22_145
| ~ spl22_146 ),
inference(resolution,[],[f1416,f1412]) ).
fof(f9568,plain,
( spl22_565
| ~ spl22_117
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1332,f1277,f1121,f9566]) ).
fof(f9566,plain,
( spl22_565
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK11(X0,X1)),sK11(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK11(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_565])]) ).
fof(f1332,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK11(X0,X1)),sK11(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK11(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) )
| ~ spl22_117
| ~ spl22_131 ),
inference(duplicate_literal_removal,[],[f1331]) ).
fof(f1331,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK11(X0,X1)),sK11(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK11(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_117
| ~ spl22_131 ),
inference(resolution,[],[f1278,f1122]) ).
fof(f9002,plain,
( spl22_564
| ~ spl22_39
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2044,f1989,f626,f9000]) ).
fof(f9000,plain,
( spl22_564
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,xQ,X1),X1)
| sK18(X0,xQ,X1) = X0
| sP2(X0,xQ,X1)
| aElementOf0(sK18(X0,xQ,X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_564])]) ).
fof(f2044,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,xQ,X1),X1)
| sK18(X0,xQ,X1) = X0
| sP2(X0,xQ,X1)
| aElementOf0(sK18(X0,xQ,X1),xS) )
| ~ spl22_39
| ~ spl22_174 ),
inference(resolution,[],[f1990,f627]) ).
fof(f8998,plain,
( spl22_563
| ~ spl22_39
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2017,f1989,f626,f8996]) ).
fof(f8996,plain,
( spl22_563
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1,xQ),X1)
| sK18(X0,X1,xQ) = X0
| sP2(X0,X1,xQ)
| aElementOf0(sK18(X0,X1,xQ),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_563])]) ).
fof(f2017,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1,xQ),X1)
| sK18(X0,X1,xQ) = X0
| sP2(X0,X1,xQ)
| aElementOf0(sK18(X0,X1,xQ),xS) )
| ~ spl22_39
| ~ spl22_174 ),
inference(resolution,[],[f1990,f627]) ).
fof(f8994,plain,
( spl22_562
| ~ spl22_65
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1702,f1617,f765,f8992]) ).
fof(f8992,plain,
( spl22_562
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xS,xk),X1)
| aSubsetOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_562])]) ).
fof(f1702,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xS,xk),X1)
| aSubsetOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),xS) )
| ~ spl22_65
| ~ spl22_159 ),
inference(resolution,[],[f1618,f766]) ).
fof(f8990,plain,
( spl22_561
| ~ spl22_64
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1697,f1617,f761,f8988]) ).
fof(f8988,plain,
( spl22_561
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xT,xk),X1)
| aSubsetOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_561])]) ).
fof(f1697,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xT,xk),X1)
| aSubsetOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),xT) )
| ~ spl22_64
| ~ spl22_159 ),
inference(resolution,[],[f1618,f762]) ).
fof(f8986,plain,
( spl22_560
| ~ spl22_63
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1686,f1617,f757,f8984]) ).
fof(f8984,plain,
( spl22_560
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,sdtmndt0(xQ,xy),X1),X1)
| sP3(X0,sdtmndt0(xQ,xy),X1)
| aElementOf0(sK19(X0,sdtmndt0(xQ,xy),X1),xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_560])]) ).
fof(f1686,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,sdtmndt0(xQ,xy),X1),X1)
| sP3(X0,sdtmndt0(xQ,xy),X1)
| aElementOf0(sK19(X0,sdtmndt0(xQ,xy),X1),xQ) )
| ~ spl22_63
| ~ spl22_159 ),
inference(resolution,[],[f1618,f758]) ).
fof(f8982,plain,
( spl22_559
| ~ spl22_65
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1677,f1617,f765,f8980]) ).
fof(f8980,plain,
( spl22_559
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_559])]) ).
fof(f1677,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),xS) )
| ~ spl22_65
| ~ spl22_159 ),
inference(resolution,[],[f1618,f766]) ).
fof(f8978,plain,
( spl22_557
| spl22_558
| ~ spl22_2
| ~ spl22_216 ),
inference(avatar_split_clause,[],[f8067,f2462,f446,f8975,f8971]) ).
fof(f446,plain,
( spl22_2
<=> aElementOf0(sK6,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f2462,plain,
( spl22_216
<=> ! [X0] :
( xx = X0
| ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_216])]) ).
fof(f8067,plain,
( xx = sK6
| aElementOf0(sK6,xQ)
| ~ spl22_2
| ~ spl22_216 ),
inference(resolution,[],[f448,f2463]) ).
fof(f2463,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| xx = X0
| aElementOf0(X0,xQ) )
| ~ spl22_216 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f448,plain,
( aElementOf0(sK6,xP)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f8969,plain,
( spl22_556
| ~ spl22_64
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1672,f1617,f761,f8967]) ).
fof(f8967,plain,
( spl22_556
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_556])]) ).
fof(f1672,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),xT) )
| ~ spl22_64
| ~ spl22_159 ),
inference(resolution,[],[f1618,f762]) ).
fof(f8965,plain,
( spl22_555
| ~ spl22_63
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1661,f1617,f757,f8963]) ).
fof(f8963,plain,
( spl22_555
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,sdtmndt0(xQ,xy)),X1)
| sP3(X0,X1,sdtmndt0(xQ,xy))
| aElementOf0(sK19(X0,X1,sdtmndt0(xQ,xy)),xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_555])]) ).
fof(f1661,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,sdtmndt0(xQ,xy)),X1)
| sP3(X0,X1,sdtmndt0(xQ,xy))
| aElementOf0(sK19(X0,X1,sdtmndt0(xQ,xy)),xQ) )
| ~ spl22_63
| ~ spl22_159 ),
inference(resolution,[],[f1618,f758]) ).
fof(f8961,plain,
( spl22_554
| ~ spl22_74
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1572,f1431,f825,f8959]) ).
fof(f8959,plain,
( spl22_554
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_554])]) ).
fof(f1572,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) )
| ~ spl22_74
| ~ spl22_150 ),
inference(resolution,[],[f1432,f826]) ).
fof(f8957,plain,
( spl22_553
| ~ spl22_73
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1567,f1431,f821,f8955]) ).
fof(f8955,plain,
( spl22_553
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_553])]) ).
fof(f1567,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) )
| ~ spl22_73
| ~ spl22_150 ),
inference(resolution,[],[f1432,f822]) ).
fof(f8953,plain,
( spl22_552
| ~ spl22_74
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1541,f1419,f825,f8951]) ).
fof(f8951,plain,
( spl22_552
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK18(X0,X1,slbdtsldtrb0(xS,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_552])]) ).
fof(f1541,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK18(X0,X1,slbdtsldtrb0(xS,xk))) )
| ~ spl22_74
| ~ spl22_147 ),
inference(resolution,[],[f1420,f826]) ).
fof(f8949,plain,
( spl22_551
| ~ spl22_73
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1536,f1419,f821,f8947]) ).
fof(f8947,plain,
( spl22_551
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK18(X0,X1,slbdtsldtrb0(xT,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_551])]) ).
fof(f1536,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK18(X0,X1,slbdtsldtrb0(xT,xk))) )
| ~ spl22_73
| ~ spl22_147 ),
inference(resolution,[],[f1420,f822]) ).
fof(f8925,plain,
( ~ spl22_24
| spl22_550
| ~ spl22_52
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1514,f1415,f694,f8923,f554]) ).
fof(f8923,plain,
( spl22_550
<=> ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xS,xk)),szNzAzT0)
| aSet0(sK13(X0,slbdtsldtrb0(xS,xk)))
| sP0(X0,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_550])]) ).
fof(f1514,plain,
( ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xS,xk)),szNzAzT0)
| sP0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK13(X0,slbdtsldtrb0(xS,xk))) )
| ~ spl22_52
| ~ spl22_146 ),
inference(resolution,[],[f1416,f695]) ).
fof(f8901,plain,
( ~ spl22_25
| spl22_549
| ~ spl22_50
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1509,f1415,f685,f8899,f559]) ).
fof(f8899,plain,
( spl22_549
<=> ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xT,xk)),szNzAzT0)
| aSet0(sK13(X0,slbdtsldtrb0(xT,xk)))
| sP0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_549])]) ).
fof(f1509,plain,
( ! [X0] :
( aElementOf0(sK13(X0,slbdtsldtrb0(xT,xk)),szNzAzT0)
| sP0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK13(X0,slbdtsldtrb0(xT,xk))) )
| ~ spl22_50
| ~ spl22_146 ),
inference(resolution,[],[f1416,f686]) ).
fof(f8872,plain,
( ~ spl22_24
| spl22_548
| ~ spl22_89
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1319,f1277,f926,f8870,f554]) ).
fof(f8870,plain,
( spl22_548
<=> ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_548])]) ).
fof(f1319,plain,
( ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
| ~ spl22_89
| ~ spl22_131 ),
inference(resolution,[],[f1278,f927]) ).
fof(f8865,plain,
( ~ spl22_25
| ~ spl22_24
| ~ spl22_546
| spl22_547
| ~ spl22_51
| ~ spl22_125 ),
inference(avatar_split_clause,[],[f1259,f1240,f689,f8862,f8858,f554,f559]) ).
fof(f8858,plain,
( spl22_546
<=> aSubsetOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_546])]) ).
fof(f8862,plain,
( spl22_547
<=> slbdtsldtrb0(xS,xk) = slbdtsldtrb0(xT,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_547])]) ).
fof(f689,plain,
( spl22_51
<=> aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).
fof(f1240,plain,
( spl22_125
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_125])]) ).
fof(f1259,plain,
( slbdtsldtrb0(xS,xk) = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ spl22_51
| ~ spl22_125 ),
inference(resolution,[],[f1241,f691]) ).
fof(f691,plain,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| ~ spl22_51 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f1241,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_125 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f8639,plain,
( spl22_545
| ~ spl22_29
| ~ spl22_527 ),
inference(avatar_split_clause,[],[f8294,f8283,f579,f8636]) ).
fof(f8636,plain,
( spl22_545
<=> aElement0(sK10(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_545])]) ).
fof(f579,plain,
( spl22_29
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
fof(f8283,plain,
( spl22_527
<=> aElementOf0(sK10(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_527])]) ).
fof(f8294,plain,
( aElement0(sK10(xP))
| ~ spl22_29
| ~ spl22_527 ),
inference(resolution,[],[f8285,f580]) ).
fof(f580,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElement0(X0) )
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f8285,plain,
( aElementOf0(sK10(xP),xP)
| ~ spl22_527 ),
inference(avatar_component_clause,[],[f8283]) ).
fof(f8423,plain,
( spl22_544
| ~ spl22_38
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2027,f1989,f619,f8421]) ).
fof(f8421,plain,
( spl22_544
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,szNzAzT0,X1),X1)
| sK18(X0,szNzAzT0,X1) = X0
| sP2(X0,szNzAzT0,X1)
| sP1(sK18(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_544])]) ).
fof(f619,plain,
( spl22_38
<=> ! [X0] :
( sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).
fof(f2027,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,szNzAzT0,X1),X1)
| sK18(X0,szNzAzT0,X1) = X0
| sP2(X0,szNzAzT0,X1)
| sP1(sK18(X0,szNzAzT0,X1)) )
| ~ spl22_38
| ~ spl22_174 ),
inference(resolution,[],[f1990,f620]) ).
fof(f620,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP1(X0) )
| ~ spl22_38 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f8419,plain,
( spl22_543
| ~ spl22_38
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2000,f1989,f619,f8417]) ).
fof(f8417,plain,
( spl22_543
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1,szNzAzT0),X1)
| sK18(X0,X1,szNzAzT0) = X0
| sP2(X0,X1,szNzAzT0)
| sP1(sK18(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_543])]) ).
fof(f2000,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1,szNzAzT0),X1)
| sK18(X0,X1,szNzAzT0) = X0
| sP2(X0,X1,szNzAzT0)
| sP1(sK18(X0,X1,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_174 ),
inference(resolution,[],[f1990,f620]) ).
fof(f8415,plain,
( spl22_542
| ~ spl22_54
| ~ spl22_169 ),
inference(avatar_split_clause,[],[f1932,f1923,f705,f8413]) ).
fof(f8413,plain,
( spl22_542
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK14(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_542])]) ).
fof(f705,plain,
( spl22_54
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_54])]) ).
fof(f1923,plain,
( spl22_169
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK14(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_169])]) ).
fof(f1932,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK14(X0,X1))
| ~ aSet0(X0) )
| ~ spl22_54
| ~ spl22_169 ),
inference(resolution,[],[f1924,f706]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl22_54 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f1924,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,X1),X0)
| szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_169 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f8401,plain,
( ~ spl22_11
| spl22_541
| ~ spl22_69
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1905,f1890,f783,f8399,f490]) ).
fof(f8399,plain,
( spl22_541
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| ~ aSet0(X2)
| sP5(X2,sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_541])]) ).
fof(f783,plain,
( spl22_69
<=> ! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_69])]) ).
fof(f1905,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(X2,sK21(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_168 ),
inference(resolution,[],[f1891,f784]) ).
fof(f784,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP5(X0,X1)
| ~ aSet0(X0) )
| ~ spl22_69 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f8391,plain,
( ~ spl22_11
| spl22_540
| ~ spl22_41
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1832,f1780,f635,f8389,f490]) ).
fof(f8389,plain,
( spl22_540
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sK21(X0,X1,szNzAzT0),sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_540])]) ).
fof(f1832,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK21(X0,X1,szNzAzT0),sK21(X0,X1,szNzAzT0)) )
| ~ spl22_41
| ~ spl22_165 ),
inference(resolution,[],[f1781,f636]) ).
fof(f8387,plain,
( spl22_539
| ~ spl22_79
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1821,f1780,f848,f8385]) ).
fof(f8385,plain,
( spl22_539
<=> ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| isFinite0(sK21(X0,X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_539])]) ).
fof(f848,plain,
( spl22_79
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_79])]) ).
fof(f1821,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| isFinite0(sK21(X0,X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl22_79
| ~ spl22_165 ),
inference(resolution,[],[f1781,f849]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_79 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f8383,plain,
( spl22_538
| ~ spl22_114
| ~ spl22_161 ),
inference(avatar_split_clause,[],[f1760,f1718,f1109,f8381]) ).
fof(f8381,plain,
( spl22_538
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_538])]) ).
fof(f1760,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 )
| ~ spl22_114
| ~ spl22_161 ),
inference(duplicate_literal_removal,[],[f1726]) ).
fof(f1726,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl22_114
| ~ spl22_161 ),
inference(resolution,[],[f1719,f1110]) ).
fof(f8379,plain,
( spl22_537
| ~ spl22_68
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1692,f1617,f779,f8377]) ).
fof(f8377,plain,
( spl22_537
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sK19(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK19(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_537])]) ).
fof(f1692,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sK19(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK19(X0,szNzAzT0,X1))) )
| ~ spl22_68
| ~ spl22_159 ),
inference(resolution,[],[f1618,f780]) ).
fof(f8375,plain,
( spl22_536
| ~ spl22_68
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1667,f1617,f779,f8373]) ).
fof(f8373,plain,
( spl22_536
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sK19(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK19(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_536])]) ).
fof(f1667,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sK19(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK19(X0,X1,szNzAzT0))) )
| ~ spl22_68
| ~ spl22_159 ),
inference(resolution,[],[f1618,f780]) ).
fof(f8371,plain,
( spl22_535
| ~ spl22_97
| ~ spl22_154 ),
inference(avatar_split_clause,[],[f1599,f1447,f963,f8369]) ).
fof(f8369,plain,
( spl22_535
<=> ! [X0,X1] :
( aSubsetOf0(X0,slbdtrb0(sK15(X1)))
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(slbdtrb0(sK15(X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_535])]) ).
fof(f963,plain,
( spl22_97
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_97])]) ).
fof(f1447,plain,
( spl22_154
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_154])]) ).
fof(f1599,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,slbdtrb0(sK15(X1)))
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(slbdtrb0(sK15(X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl22_97
| ~ spl22_154 ),
inference(resolution,[],[f1448,f964]) ).
fof(f964,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_97 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1448,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_154 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f8362,plain,
( spl22_515
| ~ spl22_64
| ~ spl22_516 ),
inference(avatar_split_clause,[],[f8266,f8143,f761,f8139]) ).
fof(f8139,plain,
( spl22_515
<=> aSubsetOf0(xP,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_515])]) ).
fof(f8143,plain,
( spl22_516
<=> aElementOf0(xP,slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_516])]) ).
fof(f8266,plain,
( aSubsetOf0(xP,xT)
| ~ spl22_64
| ~ spl22_516 ),
inference(resolution,[],[f8145,f762]) ).
fof(f8145,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| ~ spl22_516 ),
inference(avatar_component_clause,[],[f8143]) ).
fof(f8361,plain,
( spl22_534
| ~ spl22_126
| ~ spl22_152 ),
inference(avatar_split_clause,[],[f1591,f1439,f1244,f8359]) ).
fof(f8359,plain,
( spl22_534
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_534])]) ).
fof(f1439,plain,
( spl22_152
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_152])]) ).
fof(f1591,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl22_126
| ~ spl22_152 ),
inference(duplicate_literal_removal,[],[f1585]) ).
fof(f1585,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_126
| ~ spl22_152 ),
inference(resolution,[],[f1440,f1245]) ).
fof(f1440,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_152 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f8357,plain,
( spl22_533
| ~ spl22_114
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1519,f1415,f1109,f8355]) ).
fof(f8355,plain,
( spl22_533
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK13(X0,X1)),sK13(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_533])]) ).
fof(f1519,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK13(X0,X1)),sK13(X0,X1)) = X1 )
| ~ spl22_114
| ~ spl22_146 ),
inference(duplicate_literal_removal,[],[f1493]) ).
fof(f1493,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK13(X0,X1)),sK13(X0,X1)) = X1
| ~ aSet0(X1) )
| ~ spl22_114
| ~ spl22_146 ),
inference(resolution,[],[f1416,f1110]) ).
fof(f8353,plain,
( spl22_532
| ~ spl22_131
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1480,f1411,f1277,f8351]) ).
fof(f8351,plain,
( spl22_532
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_532])]) ).
fof(f1480,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) )
| ~ spl22_131
| ~ spl22_145 ),
inference(duplicate_literal_removal,[],[f1461]) ).
fof(f1461,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1) )
| ~ spl22_131
| ~ spl22_145 ),
inference(resolution,[],[f1412,f1278]) ).
fof(f8349,plain,
( spl22_531
| ~ spl22_97
| ~ spl22_125 ),
inference(avatar_split_clause,[],[f1258,f1240,f963,f8347]) ).
fof(f8347,plain,
( spl22_531
<=> ! [X0] :
( slbdtrb0(sK15(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK15(X0)),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_531])]) ).
fof(f1258,plain,
( ! [X0] :
( slbdtrb0(sK15(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK15(X0)),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_97
| ~ spl22_125 ),
inference(resolution,[],[f1241,f964]) ).
fof(f8335,plain,
( ~ spl22_9
| ~ spl22_291
| spl22_530
| ~ spl22_3
| ~ spl22_162 ),
inference(avatar_split_clause,[],[f8088,f1722,f450,f8333,f3374,f480]) ).
fof(f480,plain,
( spl22_9
<=> aSet0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f3374,plain,
( spl22_291
<=> isFinite0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_291])]) ).
fof(f8333,plain,
( spl22_530
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK20(xP,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_530])]) ).
fof(f450,plain,
( spl22_3
<=> xk = sbrdtbr0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f1722,plain,
( spl22_162
<=> ! [X0,X1] :
( sbrdtbr0(sK20(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_162])]) ).
fof(f8088,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sbrdtbr0(sK20(xP,X0)) = X0
| ~ isFinite0(xP)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xP) )
| ~ spl22_3
| ~ spl22_162 ),
inference(superposition,[],[f1723,f451]) ).
fof(f451,plain,
( xk = sbrdtbr0(xP)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1723,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| sbrdtbr0(sK20(X0,X1)) = X1
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl22_162 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f8303,plain,
( ~ spl22_137
| ~ spl22_7
| spl22_529
| ~ spl22_131
| spl22_513 ),
inference(avatar_split_clause,[],[f8117,f8110,f1277,f8300,f470,f1339]) ).
fof(f1339,plain,
( spl22_137
<=> aElement0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_137])]) ).
fof(f470,plain,
( spl22_7
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f8300,plain,
( spl22_529
<=> xS = sdtmndt0(sdtpldt0(xS,sK6),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_529])]) ).
fof(f8117,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK6),sK6)
| ~ aSet0(xS)
| ~ aElement0(sK6)
| ~ spl22_131
| spl22_513 ),
inference(resolution,[],[f8112,f1278]) ).
fof(f8112,plain,
( ~ aElementOf0(sK6,xS)
| spl22_513 ),
inference(avatar_component_clause,[],[f8110]) ).
fof(f8291,plain,
( spl22_528
| ~ spl22_29
| ~ spl22_523 ),
inference(avatar_split_clause,[],[f8242,f8236,f579,f8288]) ).
fof(f8288,plain,
( spl22_528
<=> aElement0(sK8(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_528])]) ).
fof(f8236,plain,
( spl22_523
<=> aElementOf0(sK8(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_523])]) ).
fof(f8242,plain,
( aElement0(sK8(xP))
| ~ spl22_29
| ~ spl22_523 ),
inference(resolution,[],[f8238,f580]) ).
fof(f8238,plain,
( aElementOf0(sK8(xP),xP)
| ~ spl22_523 ),
inference(avatar_component_clause,[],[f8236]) ).
fof(f8286,plain,
( ~ spl22_9
| spl22_527
| spl22_1
| ~ spl22_3
| ~ spl22_139 ),
inference(avatar_split_clause,[],[f8106,f1369,f450,f441,f8283,f480]) ).
fof(f441,plain,
( spl22_1
<=> aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f1369,plain,
( spl22_139
<=> ! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| aElementOf0(sK10(X8),X8)
| ~ aSet0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_139])]) ).
fof(f8106,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElementOf0(sK10(xP),xP)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_139 ),
inference(trivial_inequality_removal,[],[f8082]) ).
fof(f8082,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElementOf0(sK10(xP),xP)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_139 ),
inference(superposition,[],[f1370,f451]) ).
fof(f1370,plain,
( ! [X8] :
( xk != sbrdtbr0(X8)
| aElementOf0(X8,slbdtsldtrb0(xS,xk))
| aElementOf0(sK10(X8),X8)
| ~ aSet0(X8) )
| ~ spl22_139 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f8277,plain,
( ~ spl22_9
| ~ spl22_526
| spl22_1
| ~ spl22_3
| ~ spl22_140 ),
inference(avatar_split_clause,[],[f8105,f1373,f450,f441,f8274,f480]) ).
fof(f8274,plain,
( spl22_526
<=> aElementOf0(sK10(xP),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_526])]) ).
fof(f1373,plain,
( spl22_140
<=> ! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ~ aElementOf0(sK10(X8),xS)
| ~ aSet0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_140])]) ).
fof(f8105,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(sK10(xP),xS)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_140 ),
inference(trivial_inequality_removal,[],[f8083]) ).
fof(f8083,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(sK10(xP),xS)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_140 ),
inference(superposition,[],[f1374,f451]) ).
fof(f1374,plain,
( ! [X8] :
( xk != sbrdtbr0(X8)
| aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(sK10(X8),xS)
| ~ aSet0(X8) )
| ~ spl22_140 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f8258,plain,
( ~ spl22_9
| spl22_525
| spl22_516
| ~ spl22_3
| ~ spl22_141 ),
inference(avatar_split_clause,[],[f8104,f1377,f450,f8143,f8255,f480]) ).
fof(f8255,plain,
( spl22_525
<=> aElementOf0(sK9(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_525])]) ).
fof(f1377,plain,
( spl22_141
<=> ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| aElementOf0(sK9(X5),X5)
| ~ aSet0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_141])]) ).
fof(f8104,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(xP),xP)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_141 ),
inference(trivial_inequality_removal,[],[f8084]) ).
fof(f8084,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(xP),xP)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_141 ),
inference(superposition,[],[f1378,f451]) ).
fof(f1378,plain,
( ! [X5] :
( xk != sbrdtbr0(X5)
| aElementOf0(X5,slbdtsldtrb0(xT,xk))
| aElementOf0(sK9(X5),X5)
| ~ aSet0(X5) )
| ~ spl22_141 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f8251,plain,
( ~ spl22_9
| ~ spl22_524
| spl22_516
| ~ spl22_3
| ~ spl22_142 ),
inference(avatar_split_clause,[],[f8103,f1381,f450,f8143,f8248,f480]) ).
fof(f8248,plain,
( spl22_524
<=> aElementOf0(sK9(xP),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_524])]) ).
fof(f1381,plain,
( spl22_142
<=> ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ~ aElementOf0(sK9(X5),xT)
| ~ aSet0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_142])]) ).
fof(f8103,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(sK9(xP),xT)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_142 ),
inference(trivial_inequality_removal,[],[f8085]) ).
fof(f8085,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(sK9(xP),xT)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_142 ),
inference(superposition,[],[f1382,f451]) ).
fof(f1382,plain,
( ! [X5] :
( xk != sbrdtbr0(X5)
| aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(sK9(X5),xT)
| ~ aSet0(X5) )
| ~ spl22_142 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f8239,plain,
( ~ spl22_9
| spl22_523
| spl22_1
| ~ spl22_3
| ~ spl22_143 ),
inference(avatar_split_clause,[],[f8102,f1385,f450,f441,f8236,f480]) ).
fof(f1385,plain,
( spl22_143
<=> ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| aElementOf0(sK8(X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_143])]) ).
fof(f8102,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElementOf0(sK8(xP),xP)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_143 ),
inference(trivial_inequality_removal,[],[f8086]) ).
fof(f8086,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElementOf0(sK8(xP),xP)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_143 ),
inference(superposition,[],[f1386,f451]) ).
fof(f1386,plain,
( ! [X1] :
( sbrdtbr0(X1) != xk
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(sK8(X1),X1)
| ~ aSet0(X1) )
| ~ spl22_143 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f8230,plain,
( ~ spl22_9
| ~ spl22_522
| spl22_1
| ~ spl22_3
| ~ spl22_144 ),
inference(avatar_split_clause,[],[f8101,f1389,f450,f441,f8227,f480]) ).
fof(f8227,plain,
( spl22_522
<=> aElementOf0(sK8(xP),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_522])]) ).
fof(f1389,plain,
( spl22_144
<=> ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK8(X1),xS)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_144])]) ).
fof(f8101,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(sK8(xP),xS)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_144 ),
inference(trivial_inequality_removal,[],[f8087]) ).
fof(f8087,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(sK8(xP),xS)
| ~ aSet0(xP)
| ~ spl22_3
| ~ spl22_144 ),
inference(superposition,[],[f1390,f451]) ).
fof(f1390,plain,
( ! [X1] :
( sbrdtbr0(X1) != xk
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(sK8(X1),xS)
| ~ aSet0(X1) )
| ~ spl22_144 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f8225,plain,
( spl22_521
| ~ spl22_3
| ~ spl22_115 ),
inference(avatar_split_clause,[],[f8081,f1113,f450,f8223]) ).
fof(f8223,plain,
( spl22_521
<=> ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xP,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_521])]) ).
fof(f1113,plain,
( spl22_115
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_115])]) ).
fof(f8081,plain,
( ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xP,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_3
| ~ spl22_115 ),
inference(superposition,[],[f1114,f451]) ).
fof(f1114,plain,
( ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_115 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f8207,plain,
( ~ spl22_9
| ~ spl22_291
| spl22_520
| ~ spl22_3
| ~ spl22_115 ),
inference(avatar_split_clause,[],[f8080,f1113,f450,f8205,f3374,f480]) ).
fof(f8205,plain,
( spl22_520
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_520])]) ).
fof(f8080,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xP)
| ~ isFinite0(xP)
| ~ aSet0(xP) )
| ~ spl22_3
| ~ spl22_115 ),
inference(superposition,[],[f1114,f451]) ).
fof(f8177,plain,
( ~ spl22_9
| ~ spl22_291
| spl22_519
| ~ spl22_2
| ~ spl22_3
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f8072,f1411,f450,f446,f8174,f3374,f480]) ).
fof(f8174,plain,
( spl22_519
<=> xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_519])]) ).
fof(f8072,plain,
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,sK6)))
| ~ isFinite0(xP)
| ~ aSet0(xP)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_145 ),
inference(forward_demodulation,[],[f8069,f451]) ).
fof(f8069,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,sK6)))
| ~ isFinite0(xP)
| ~ aSet0(xP)
| ~ spl22_2
| ~ spl22_145 ),
inference(resolution,[],[f448,f1412]) ).
fof(f8170,plain,
( spl22_518
| ~ spl22_3
| ~ spl22_111 ),
inference(avatar_split_clause,[],[f8077,f1074,f450,f8168]) ).
fof(f8168,plain,
( spl22_518
<=> ! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(xP,X0)
| aElementOf0(xP,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_518])]) ).
fof(f1074,plain,
( spl22_111
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP4(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_111])]) ).
fof(f8077,plain,
( ! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(xP,X0)
| aElementOf0(xP,X1) )
| ~ spl22_3
| ~ spl22_111 ),
inference(superposition,[],[f1075,f451]) ).
fof(f1075,plain,
( ! [X2,X1,X4] :
( ~ sP4(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl22_111 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f8157,plain,
( ~ spl22_9
| spl22_517
| ~ spl22_2
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f8070,f1109,f446,f8154,f480]) ).
fof(f8154,plain,
( spl22_517
<=> xP = sdtpldt0(sdtmndt0(xP,sK6),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_517])]) ).
fof(f8070,plain,
( xP = sdtpldt0(sdtmndt0(xP,sK6),sK6)
| ~ aSet0(xP)
| ~ spl22_2
| ~ spl22_114 ),
inference(resolution,[],[f448,f1110]) ).
fof(f8146,plain,
( ~ spl22_515
| spl22_516
| ~ spl22_3
| ~ spl22_112 ),
inference(avatar_split_clause,[],[f8108,f1095,f450,f8143,f8139]) ).
fof(f1095,plain,
( spl22_112
<=> ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ~ aSubsetOf0(X5,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_112])]) ).
fof(f8108,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(xP,xT)
| ~ spl22_3
| ~ spl22_112 ),
inference(trivial_inequality_removal,[],[f8078]) ).
fof(f8078,plain,
( xk != xk
| aElementOf0(xP,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(xP,xT)
| ~ spl22_3
| ~ spl22_112 ),
inference(superposition,[],[f1096,f451]) ).
fof(f1096,plain,
( ! [X5] :
( xk != sbrdtbr0(X5)
| aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(X5,xT) )
| ~ spl22_112 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f8127,plain,
( spl22_137
| ~ spl22_2
| ~ spl22_29 ),
inference(avatar_split_clause,[],[f8068,f579,f446,f1339]) ).
fof(f8068,plain,
( aElement0(sK6)
| ~ spl22_2
| ~ spl22_29 ),
inference(resolution,[],[f448,f580]) ).
fof(f8122,plain,
( ~ spl22_514
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f247,f450,f8119]) ).
fof(f8119,plain,
( spl22_514
<=> aSubsetOf0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_514])]) ).
fof(f247,plain,
( xk != sbrdtbr0(xP)
| ~ aSubsetOf0(xP,xS) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ~ aElementOf0(sK6,xS)
& aElementOf0(sK6,xP) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f82,f177]) ).
fof(f177,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK6,xS)
& aElementOf0(sK6,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) ) ) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,negated_conjecture,
~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
inference(negated_conjecture,[],[f71]) ).
fof(f71,conjecture,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f8113,plain,
( ~ spl22_513
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f246,f450,f8110]) ).
fof(f246,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK6,xS) ),
inference(cnf_transformation,[],[f178]) ).
fof(f8065,plain,
( ~ spl22_32
| spl22_3
| spl22_14
| ~ spl22_49
| ~ spl22_510 ),
inference(avatar_split_clause,[],[f7742,f7722,f680,f505,f450,f593]) ).
fof(f593,plain,
( spl22_32
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
fof(f505,plain,
( spl22_14
<=> aElementOf0(xx,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f680,plain,
( spl22_49
<=> xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
fof(f7722,plain,
( spl22_510
<=> ! [X0] :
( xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| aElementOf0(X0,xQ)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_510])]) ).
fof(f7742,plain,
( xk = sbrdtbr0(xP)
| ~ aElement0(xx)
| spl22_14
| ~ spl22_49
| ~ spl22_510 ),
inference(forward_demodulation,[],[f7733,f682]) ).
fof(f682,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
| ~ spl22_49 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f7733,plain,
( xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ aElement0(xx)
| spl22_14
| ~ spl22_510 ),
inference(resolution,[],[f7723,f507]) ).
fof(f507,plain,
( ~ aElementOf0(xx,xQ)
| spl22_14 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f7723,plain,
( ! [X0] :
( aElementOf0(X0,xQ)
| xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| ~ aElement0(X0) )
| ~ spl22_510 ),
inference(avatar_component_clause,[],[f7722]) ).
fof(f8035,plain,
( ~ spl22_11
| spl22_512
| ~ spl22_108
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1172,f1117,f1062,f8033,f490]) ).
fof(f8033,plain,
( spl22_512
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sK11(X0,szNzAzT0) = szszuzczcdt0(sK12(sK11(X0,szNzAzT0)))
| sz00 = sK11(X0,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_512])]) ).
fof(f1062,plain,
( spl22_108
<=> ! [X0] :
( szszuzczcdt0(sK12(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_108])]) ).
fof(f1172,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK11(X0,szNzAzT0)
| sK11(X0,szNzAzT0) = szszuzczcdt0(sK12(sK11(X0,szNzAzT0))) )
| ~ spl22_108
| ~ spl22_116 ),
inference(resolution,[],[f1118,f1063]) ).
fof(f1063,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK12(X0)) = X0 )
| ~ spl22_108 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f7746,plain,
( ~ spl22_23
| ~ spl22_290
| spl22_511
| ~ spl22_88
| ~ spl22_161
| ~ spl22_267 ),
inference(avatar_split_clause,[],[f5316,f3045,f1718,f922,f7744,f3370,f549]) ).
fof(f3370,plain,
( spl22_290
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_290])]) ).
fof(f7744,plain,
( spl22_511
<=> ! [X0] :
( xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| aElementOf0(X0,xP)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_511])]) ).
fof(f3045,plain,
( spl22_267
<=> xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_267])]) ).
fof(f5316,plain,
( ! [X0] :
( xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| ~ aElement0(X0)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(X0,xP) )
| ~ spl22_88
| ~ spl22_161
| ~ spl22_267 ),
inference(forward_demodulation,[],[f1758,f3047]) ).
fof(f3047,plain,
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ spl22_267 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f1758,plain,
( ! [X0] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| ~ aElement0(X0)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(X0,xP) )
| ~ spl22_88
| ~ spl22_161 ),
inference(duplicate_literal_removal,[],[f1729]) ).
fof(f1729,plain,
( ! [X0] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| ~ aElement0(X0)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(X0,xP)
| ~ aElement0(X0) )
| ~ spl22_88
| ~ spl22_161 ),
inference(resolution,[],[f1719,f923]) ).
fof(f7724,plain,
( ~ spl22_23
| ~ spl22_290
| spl22_510
| ~ spl22_63
| ~ spl22_161
| ~ spl22_267 ),
inference(avatar_split_clause,[],[f5313,f3045,f1718,f757,f7722,f3370,f549]) ).
fof(f5313,plain,
( ! [X0] :
( xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| ~ aElement0(X0)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(X0,xQ) )
| ~ spl22_63
| ~ spl22_161
| ~ spl22_267 ),
inference(forward_demodulation,[],[f1730,f3047]) ).
fof(f1730,plain,
( ! [X0] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0))
| ~ aElement0(X0)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(X0,xQ) )
| ~ spl22_63
| ~ spl22_161 ),
inference(resolution,[],[f1719,f758]) ).
fof(f7720,plain,
( spl22_509
| ~ spl22_52
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1703,f1617,f694,f7718]) ).
fof(f7718,plain,
( spl22_509
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xS,xk),X1)
| aSet0(sK19(X0,slbdtsldtrb0(xS,xk),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_509])]) ).
fof(f1703,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xS,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xS,xk),X1)
| aSet0(sK19(X0,slbdtsldtrb0(xS,xk),X1)) )
| ~ spl22_52
| ~ spl22_159 ),
inference(resolution,[],[f1618,f695]) ).
fof(f7716,plain,
( spl22_508
| ~ spl22_50
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1698,f1617,f685,f7714]) ).
fof(f7714,plain,
( spl22_508
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xT,xk),X1)
| aSet0(sK19(X0,slbdtsldtrb0(xT,xk),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_508])]) ).
fof(f1698,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slbdtsldtrb0(xT,xk),X1),X1)
| sP3(X0,slbdtsldtrb0(xT,xk),X1)
| aSet0(sK19(X0,slbdtsldtrb0(xT,xk),X1)) )
| ~ spl22_50
| ~ spl22_159 ),
inference(resolution,[],[f1618,f686]) ).
fof(f7712,plain,
( spl22_507
| ~ spl22_52
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1678,f1617,f694,f7710]) ).
fof(f7710,plain,
( spl22_507
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_507])]) ).
fof(f1678,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) )
| ~ spl22_52
| ~ spl22_159 ),
inference(resolution,[],[f1618,f695]) ).
fof(f7708,plain,
( spl22_506
| ~ spl22_50
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1673,f1617,f685,f7706]) ).
fof(f7706,plain,
( spl22_506
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_506])]) ).
fof(f1673,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),X1)
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) )
| ~ spl22_50
| ~ spl22_159 ),
inference(resolution,[],[f1618,f686]) ).
fof(f7704,plain,
( spl22_505
| ~ spl22_65
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1573,f1431,f765,f7702]) ).
fof(f7702,plain,
( spl22_505
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_505])]) ).
fof(f1573,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xS,xk)),xS) )
| ~ spl22_65
| ~ spl22_150 ),
inference(resolution,[],[f1432,f766]) ).
fof(f7700,plain,
( spl22_504
| ~ spl22_64
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1568,f1431,f761,f7698]) ).
fof(f7698,plain,
( spl22_504
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_504])]) ).
fof(f1568,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK19(X0,X1,slbdtsldtrb0(xT,xk)),xT) )
| ~ spl22_64
| ~ spl22_150 ),
inference(resolution,[],[f1432,f762]) ).
fof(f7693,plain,
( spl22_503
| ~ spl22_65
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1542,f1419,f765,f7691]) ).
fof(f7691,plain,
( spl22_503
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK18(X0,X1,slbdtsldtrb0(xS,xk)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_503])]) ).
fof(f1542,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK18(X0,X1,slbdtsldtrb0(xS,xk)),xS) )
| ~ spl22_65
| ~ spl22_147 ),
inference(resolution,[],[f1420,f766]) ).
fof(f7689,plain,
( spl22_502
| ~ spl22_64
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1537,f1419,f761,f7687]) ).
fof(f7687,plain,
( spl22_502
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK18(X0,X1,slbdtsldtrb0(xT,xk)),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_502])]) ).
fof(f1537,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK18(X0,X1,slbdtsldtrb0(xT,xk)),xT) )
| ~ spl22_64
| ~ spl22_147 ),
inference(resolution,[],[f1420,f762]) ).
fof(f7656,plain,
( ~ spl22_24
| spl22_501
| ~ spl22_74
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1320,f1277,f825,f7654,f554]) ).
fof(f7654,plain,
( spl22_501
<=> ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| sbrdtbr0(X0) = xk
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_501])]) ).
fof(f1320,plain,
( ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| sbrdtbr0(X0) = xk )
| ~ spl22_74
| ~ spl22_131 ),
inference(resolution,[],[f1278,f826]) ).
fof(f7623,plain,
( ~ spl22_25
| spl22_500
| ~ spl22_73
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1315,f1277,f821,f7621,f559]) ).
fof(f7621,plain,
( spl22_500
<=> ! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| sbrdtbr0(X0) = xk
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_500])]) ).
fof(f1315,plain,
( ! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| sbrdtbr0(X0) = xk )
| ~ spl22_73
| ~ spl22_131 ),
inference(resolution,[],[f1278,f822]) ).
fof(f7577,plain,
( ~ spl22_24
| spl22_499
| ~ spl22_106
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1177,f1117,f1043,f7575,f554]) ).
fof(f7575,plain,
( spl22_499
<=> ! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xS,xk)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_499])]) ).
fof(f1177,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xS,xk)))
| aElementOf0(X1,xS) )
| ~ spl22_106
| ~ spl22_116 ),
inference(resolution,[],[f1118,f1044]) ).
fof(f7533,plain,
( ~ spl22_25
| spl22_498
| ~ spl22_105
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1173,f1117,f1039,f7531,f559]) ).
fof(f7531,plain,
( spl22_498
<=> ! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| aElementOf0(X1,xT)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xT,xk)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_498])]) ).
fof(f1173,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aElementOf0(X1,sK11(X0,slbdtsldtrb0(xT,xk)))
| aElementOf0(X1,xT) )
| ~ spl22_105
| ~ spl22_116 ),
inference(resolution,[],[f1118,f1040]) ).
fof(f7529,plain,
( spl22_497
| ~ spl22_64
| ~ spl22_408 ),
inference(avatar_split_clause,[],[f5741,f5735,f761,f7526]) ).
fof(f7526,plain,
( spl22_497
<=> aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_497])]) ).
fof(f5735,plain,
( spl22_408
<=> aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_408])]) ).
fof(f5741,plain,
( aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xT)
| ~ spl22_64
| ~ spl22_408 ),
inference(resolution,[],[f5737,f762]) ).
fof(f5737,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| ~ spl22_408 ),
inference(avatar_component_clause,[],[f5735]) ).
fof(f7482,plain,
( ~ spl22_23
| spl22_496
| ~ spl22_104
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1141,f1109,f1035,f7480,f549]) ).
fof(f7480,plain,
( spl22_496
<=> ! [X0] :
( sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aElementOf0(X0,xP)
| xx = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_496])]) ).
fof(f1035,plain,
( spl22_104
<=> ! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_104])]) ).
fof(f1141,plain,
( ! [X0] :
( sdtmndt0(xQ,xy) = sdtpldt0(sdtmndt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| xx = X0
| ~ aElementOf0(X0,xP) )
| ~ spl22_104
| ~ spl22_114 ),
inference(resolution,[],[f1110,f1036]) ).
fof(f1036,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0
| ~ aElementOf0(X0,xP) )
| ~ spl22_104 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f7393,plain,
( ~ spl22_11
| spl22_495
| ~ spl22_69
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1835,f1780,f783,f7391,f490]) ).
fof(f7391,plain,
( spl22_495
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| ~ aSet0(X2)
| sP5(X2,sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_495])]) ).
fof(f1835,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP5(X2,sK21(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_165 ),
inference(resolution,[],[f1781,f784]) ).
fof(f7389,plain,
( ~ spl22_237
| spl22_209
| spl22_494
| ~ spl22_69
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1803,f1772,f783,f7387,f2397,f2618]) ).
fof(f7387,plain,
( spl22_494
<=> ! [X0,X1] :
( szmzizndt0(szNzAzT0) = X0
| ~ aSet0(X1)
| sP5(X1,sK16(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_494])]) ).
fof(f1803,plain,
( ! [X0,X1] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(X1,sK16(szNzAzT0,X0))
| ~ aSet0(X1) )
| ~ spl22_69
| ~ spl22_163 ),
inference(resolution,[],[f1773,f784]) ).
fof(f7371,plain,
( ~ spl22_237
| spl22_209
| spl22_493
| ~ spl22_41
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1800,f1772,f635,f7369,f2397,f2618]) ).
fof(f7369,plain,
( spl22_493
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sdtlseqdt0(sK16(szNzAzT0,X0),sK16(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_493])]) ).
fof(f1800,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sK16(szNzAzT0,X0),sK16(szNzAzT0,X0)) )
| ~ spl22_41
| ~ spl22_163 ),
inference(resolution,[],[f1773,f636]) ).
fof(f7367,plain,
( spl22_492
| ~ spl22_68
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1563,f1431,f779,f7365]) ).
fof(f7365,plain,
( spl22_492
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sK19(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK19(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_492])]) ).
fof(f1563,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sK19(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK19(X0,X1,szNzAzT0))) )
| ~ spl22_68
| ~ spl22_150 ),
inference(resolution,[],[f1432,f780]) ).
fof(f7363,plain,
( spl22_491
| ~ spl22_68
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1532,f1419,f779,f7361]) ).
fof(f7361,plain,
( spl22_491
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sK18(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK18(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_491])]) ).
fof(f1532,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sK18(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK18(X0,X1,szNzAzT0))) )
| ~ spl22_68
| ~ spl22_147 ),
inference(resolution,[],[f1420,f780]) ).
fof(f7359,plain,
( spl22_490
| ~ spl22_97
| ~ spl22_136 ),
inference(avatar_split_clause,[],[f1362,f1297,f963,f7357]) ).
fof(f7357,plain,
( spl22_490
<=> ! [X0] :
( sdtlseqdt0(X0,sK15(slbdtrb0(X0)))
| ~ aElementOf0(sK15(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_490])]) ).
fof(f1297,plain,
( spl22_136
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_136])]) ).
fof(f1362,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK15(slbdtrb0(X0)))
| ~ aElementOf0(sK15(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) )
| ~ spl22_97
| ~ spl22_136 ),
inference(resolution,[],[f1298,f964]) ).
fof(f1298,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_136 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f7355,plain,
( spl22_489
| ~ spl22_107
| ~ spl22_135 ),
inference(avatar_split_clause,[],[f1356,f1293,f1058,f7353]) ).
fof(f7353,plain,
( spl22_489
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_489])]) ).
fof(f1293,plain,
( spl22_135
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_135])]) ).
fof(f1356,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl22_107
| ~ spl22_135 ),
inference(resolution,[],[f1294,f1059]) ).
fof(f1294,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_135 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f7347,plain,
( ~ spl22_10
| spl22_488
| ~ spl22_249
| ~ spl22_445 ),
inference(avatar_split_clause,[],[f6820,f6340,f2766,f7344,f485]) ).
fof(f485,plain,
( spl22_10
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f7344,plain,
( spl22_488
<=> aElement0(sK15(slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_488])]) ).
fof(f2766,plain,
( spl22_249
<=> ! [X0] :
( ~ isFinite0(X0)
| aElement0(sK15(X0))
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_249])]) ).
fof(f6340,plain,
( spl22_445
<=> aSubsetOf0(slcrc0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_445])]) ).
fof(f6820,plain,
( aElement0(sK15(slcrc0))
| ~ isFinite0(slcrc0)
| ~ spl22_249
| ~ spl22_445 ),
inference(resolution,[],[f6341,f2767]) ).
fof(f2767,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK15(X0))
| ~ isFinite0(X0) )
| ~ spl22_249 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f6341,plain,
( aSubsetOf0(slcrc0,szNzAzT0)
| ~ spl22_445 ),
inference(avatar_component_clause,[],[f6340]) ).
fof(f7323,plain,
( ~ spl22_24
| ~ spl22_25
| spl22_487
| ~ spl22_51
| ~ spl22_154 ),
inference(avatar_split_clause,[],[f1601,f1447,f689,f7321,f559,f554]) ).
fof(f7321,plain,
( spl22_487
<=> ! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(xS,xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_487])]) ).
fof(f1601,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0) )
| ~ spl22_51
| ~ spl22_154 ),
inference(resolution,[],[f1448,f691]) ).
fof(f7319,plain,
( spl22_486
| ~ spl22_52
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1574,f1431,f694,f7317]) ).
fof(f7317,plain,
( spl22_486
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_486])]) ).
fof(f1574,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xS,xk)))
| sP3(X0,X1,slbdtsldtrb0(xS,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xS,xk))) )
| ~ spl22_52
| ~ spl22_150 ),
inference(resolution,[],[f1432,f695]) ).
fof(f7315,plain,
( spl22_485
| ~ spl22_50
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1569,f1431,f685,f7313]) ).
fof(f7313,plain,
( spl22_485
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_485])]) ).
fof(f1569,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slbdtsldtrb0(xT,xk)))
| sP3(X0,X1,slbdtsldtrb0(xT,xk))
| aSet0(sK19(X0,X1,slbdtsldtrb0(xT,xk))) )
| ~ spl22_50
| ~ spl22_150 ),
inference(resolution,[],[f1432,f686]) ).
fof(f7311,plain,
( spl22_484
| ~ spl22_52
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1543,f1419,f694,f7309]) ).
fof(f7309,plain,
( spl22_484
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| aSet0(sK18(X0,X1,slbdtsldtrb0(xS,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_484])]) ).
fof(f1543,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xS,xk)))
| sP2(X0,X1,slbdtsldtrb0(xS,xk))
| aSet0(sK18(X0,X1,slbdtsldtrb0(xS,xk))) )
| ~ spl22_52
| ~ spl22_147 ),
inference(resolution,[],[f1420,f695]) ).
fof(f7307,plain,
( spl22_483
| ~ spl22_50
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1538,f1419,f685,f7305]) ).
fof(f7305,plain,
( spl22_483
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| aSet0(sK18(X0,X1,slbdtsldtrb0(xT,xk))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_483])]) ).
fof(f1538,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slbdtsldtrb0(xT,xk)))
| sP2(X0,X1,slbdtsldtrb0(xT,xk))
| aSet0(sK18(X0,X1,slbdtsldtrb0(xT,xk))) )
| ~ spl22_50
| ~ spl22_147 ),
inference(resolution,[],[f1420,f686]) ).
fof(f7301,plain,
( ~ spl22_24
| ~ spl22_287
| spl22_482
| ~ spl22_28
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1469,f1411,f574,f7298,f3353,f554]) ).
fof(f3353,plain,
( spl22_287
<=> isFinite0(slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_287])]) ).
fof(f7298,plain,
( spl22_482
<=> sbrdtbr0(slbdtsldtrb0(xS,xk)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtsldtrb0(xS,xk),xQ))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_482])]) ).
fof(f574,plain,
( spl22_28
<=> aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
fof(f1469,plain,
( sbrdtbr0(slbdtsldtrb0(xS,xk)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtsldtrb0(xS,xk),xQ)))
| ~ isFinite0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ spl22_28
| ~ spl22_145 ),
inference(resolution,[],[f1412,f576]) ).
fof(f576,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f7282,plain,
( ~ spl22_23
| spl22_481
| ~ spl22_88
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1333,f1277,f922,f7280,f549]) ).
fof(f7280,plain,
( spl22_481
<=> ! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| aElementOf0(X0,xP)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_481])]) ).
fof(f1333,plain,
( ! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| aElementOf0(X0,xP) )
| ~ spl22_88
| ~ spl22_131 ),
inference(duplicate_literal_removal,[],[f1304]) ).
fof(f1304,plain,
( ! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| aElementOf0(X0,xP)
| ~ aElement0(X0) )
| ~ spl22_88
| ~ spl22_131 ),
inference(resolution,[],[f1278,f923]) ).
fof(f7273,plain,
( ~ spl22_24
| spl22_480
| ~ spl22_65
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1321,f1277,f765,f7271,f554]) ).
fof(f7271,plain,
( spl22_480
<=> ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| aSubsetOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_480])]) ).
fof(f1321,plain,
( ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| aSubsetOf0(X0,xS) )
| ~ spl22_65
| ~ spl22_131 ),
inference(resolution,[],[f1278,f766]) ).
fof(f7264,plain,
( ~ spl22_25
| spl22_479
| ~ spl22_64
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1316,f1277,f761,f7262,f559]) ).
fof(f7262,plain,
( spl22_479
<=> ! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| aSubsetOf0(X0,xT)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_479])]) ).
fof(f1316,plain,
( ! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| aSubsetOf0(X0,xT) )
| ~ spl22_64
| ~ spl22_131 ),
inference(resolution,[],[f1278,f762]) ).
fof(f7242,plain,
( ~ spl22_23
| spl22_478
| ~ spl22_63
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1305,f1277,f757,f7240,f549]) ).
fof(f7240,plain,
( spl22_478
<=> ! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| aElementOf0(X0,xQ)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_478])]) ).
fof(f1305,plain,
( ! [X0] :
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),X0),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| aElementOf0(X0,xQ) )
| ~ spl22_63
| ~ spl22_131 ),
inference(resolution,[],[f1278,f758]) ).
fof(f7227,plain,
( ~ spl22_24
| spl22_477
| ~ spl22_89
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1178,f1117,f926,f7225,f554]) ).
fof(f7225,plain,
( spl22_477
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| aElementOf0(sK11(X0,slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_477])]) ).
fof(f1178,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk)) )
| ~ spl22_89
| ~ spl22_116 ),
inference(resolution,[],[f1118,f927]) ).
fof(f7223,plain,
( spl22_476
| ~ spl22_10
| ~ spl22_207
| ~ spl22_445 ),
inference(avatar_split_clause,[],[f6819,f6340,f2389,f485,f7220]) ).
fof(f7220,plain,
( spl22_476
<=> sP1(sK15(slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_476])]) ).
fof(f2389,plain,
( spl22_207
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP1(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_207])]) ).
fof(f6819,plain,
( ~ isFinite0(slcrc0)
| sP1(sK15(slcrc0))
| ~ spl22_207
| ~ spl22_445 ),
inference(resolution,[],[f6341,f2390]) ).
fof(f2390,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| sP1(sK15(X0)) )
| ~ spl22_207 ),
inference(avatar_component_clause,[],[f2389]) ).
fof(f7215,plain,
( ~ spl22_23
| spl22_346
| ~ spl22_474
| spl22_475
| ~ spl22_81
| ~ spl22_88 ),
inference(avatar_split_clause,[],[f929,f922,f856,f7212,f7208,f4201,f549]) ).
fof(f4201,plain,
( spl22_346
<=> slcrc0 = sdtmndt0(xQ,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_346])]) ).
fof(f7208,plain,
( spl22_474
<=> aElement0(sK17(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_474])]) ).
fof(f7212,plain,
( spl22_475
<=> aElementOf0(sK17(sdtmndt0(xQ,xy)),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_475])]) ).
fof(f856,plain,
( spl22_81
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK17(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_81])]) ).
fof(f929,plain,
( aElementOf0(sK17(sdtmndt0(xQ,xy)),xP)
| ~ aElement0(sK17(sdtmndt0(xQ,xy)))
| slcrc0 = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl22_81
| ~ spl22_88 ),
inference(resolution,[],[f923,f857]) ).
fof(f857,plain,
( ! [X0] :
( aElementOf0(sK17(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl22_81 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f6951,plain,
( spl22_473
| ~ spl22_350
| spl22_346
| ~ spl22_63
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1009,f975,f757,f4201,f4272,f6948]) ).
fof(f6948,plain,
( spl22_473
<=> aElementOf0(szmzizndt0(sdtmndt0(xQ,xy)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_473])]) ).
fof(f4272,plain,
( spl22_350
<=> aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_350])]) ).
fof(f975,plain,
( spl22_100
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_100])]) ).
fof(f1009,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElementOf0(szmzizndt0(sdtmndt0(xQ,xy)),xQ)
| ~ spl22_63
| ~ spl22_100 ),
inference(resolution,[],[f976,f758]) ).
fof(f976,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_100 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f6906,plain,
( spl22_472
| ~ spl22_292
| ~ spl22_346 ),
inference(avatar_split_clause,[],[f6193,f4201,f3380,f6903]) ).
fof(f6903,plain,
( spl22_472
<=> sP2(xx,slcrc0,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_472])]) ).
fof(f3380,plain,
( spl22_292
<=> sP2(xx,sdtmndt0(xQ,xy),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_292])]) ).
fof(f6193,plain,
( sP2(xx,slcrc0,xP)
| ~ spl22_292
| ~ spl22_346 ),
inference(superposition,[],[f3382,f4203]) ).
fof(f4203,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ spl22_346 ),
inference(avatar_component_clause,[],[f4201]) ).
fof(f3382,plain,
( sP2(xx,sdtmndt0(xQ,xy),xP)
| ~ spl22_292 ),
inference(avatar_component_clause,[],[f3380]) ).
fof(f6859,plain,
( ~ spl22_11
| spl22_471
| ~ spl22_43
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1903,f1890,f644,f6857,f490]) ).
fof(f6857,plain,
( spl22_471
<=> ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sdtlseqdt0(sz00,sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_471])]) ).
fof(f1903,plain,
( ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK21(X0,X1,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_168 ),
inference(resolution,[],[f1891,f645]) ).
fof(f6851,plain,
( ~ spl22_11
| spl22_470
| ~ spl22_40
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1901,f1890,f631,f6849,f490]) ).
fof(f6849,plain,
( spl22_470
<=> ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| isFinite0(slbdtrb0(sK21(X0,X1,szNzAzT0)))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_470])]) ).
fof(f1901,plain,
( ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK21(X0,X1,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_168 ),
inference(resolution,[],[f1891,f632]) ).
fof(f6847,plain,
( spl22_469
| ~ spl22_55
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1822,f1780,f709,f6845]) ).
fof(f6845,plain,
( spl22_469
<=> ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aSet0(sK21(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_469])]) ).
fof(f709,plain,
( spl22_55
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_55])]) ).
fof(f1822,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK21(X0,X1,X2),X2)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aSet0(sK21(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl22_55
| ~ spl22_165 ),
inference(resolution,[],[f1781,f710]) ).
fof(f710,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl22_55 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f6843,plain,
( spl22_468
| ~ spl22_54
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1793,f1772,f705,f6841]) ).
fof(f6841,plain,
( spl22_468
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK16(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_468])]) ).
fof(f1793,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK16(X0,X1))
| ~ aSet0(X0) )
| ~ spl22_54
| ~ spl22_163 ),
inference(resolution,[],[f1773,f706]) ).
fof(f6839,plain,
( spl22_467
| ~ spl22_115
| ~ spl22_162 ),
inference(avatar_split_clause,[],[f1770,f1722,f1113,f6837]) ).
fof(f6837,plain,
( spl22_467
<=> ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK20(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_467])]) ).
fof(f1770,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK20(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) )
| ~ spl22_115
| ~ spl22_162 ),
inference(duplicate_literal_removal,[],[f1766]) ).
fof(f1766,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK20(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_115
| ~ spl22_162 ),
inference(resolution,[],[f1723,f1114]) ).
fof(f6835,plain,
( spl22_466
| ~ spl22_107
| ~ spl22_160 ),
inference(avatar_split_clause,[],[f1714,f1621,f1058,f6833]) ).
fof(f6833,plain,
( spl22_466
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK20(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_466])]) ).
fof(f1621,plain,
( spl22_160
<=> ! [X0,X1] :
( aSubsetOf0(sK20(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_160])]) ).
fof(f1714,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK20(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl22_107
| ~ spl22_160 ),
inference(duplicate_literal_removal,[],[f1709]) ).
fof(f1709,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK20(X1,X0))
| aElementOf0(X2,X1)
| ~ aSet0(X1) )
| ~ spl22_107
| ~ spl22_160 ),
inference(resolution,[],[f1622,f1059]) ).
fof(f1622,plain,
( ! [X0,X1] :
( aSubsetOf0(sK20(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl22_160 ),
inference(avatar_component_clause,[],[f1621]) ).
fof(f6818,plain,
( spl22_465
| ~ spl22_41
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1690,f1617,f635,f6816]) ).
fof(f6816,plain,
( spl22_465
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sdtlseqdt0(sK19(X0,szNzAzT0,X1),sK19(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_465])]) ).
fof(f1690,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sdtlseqdt0(sK19(X0,szNzAzT0,X1),sK19(X0,szNzAzT0,X1)) )
| ~ spl22_41
| ~ spl22_159 ),
inference(resolution,[],[f1618,f636]) ).
fof(f6814,plain,
( spl22_464
| ~ spl22_41
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1665,f1617,f635,f6812]) ).
fof(f6812,plain,
( spl22_464
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sK19(X0,X1,szNzAzT0),sK19(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_464])]) ).
fof(f1665,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sK19(X0,X1,szNzAzT0),sK19(X0,X1,szNzAzT0)) )
| ~ spl22_41
| ~ spl22_159 ),
inference(resolution,[],[f1618,f636]) ).
fof(f6810,plain,
( spl22_463
| ~ spl22_68
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1486,f1415,f779,f6808]) ).
fof(f6808,plain,
( spl22_463
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sK13(X0,X1) = sbrdtbr0(slbdtrb0(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_463])]) ).
fof(f1486,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sK13(X0,X1) = sbrdtbr0(slbdtrb0(sK13(X0,X1))) )
| ~ spl22_68
| ~ spl22_146 ),
inference(resolution,[],[f1416,f780]) ).
fof(f6806,plain,
( spl22_462
| ~ spl22_121
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1479,f1411,f1137,f6804]) ).
fof(f6804,plain,
( spl22_462
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_462])]) ).
fof(f1137,plain,
( spl22_121
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_121])]) ).
fof(f1479,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_121
| ~ spl22_145 ),
inference(duplicate_literal_removal,[],[f1466]) ).
fof(f1466,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_121
| ~ spl22_145 ),
inference(resolution,[],[f1412,f1138]) ).
fof(f1138,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_121 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f6802,plain,
( spl22_461
| ~ spl22_116
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1478,f1411,f1117,f6800]) ).
fof(f6800,plain,
( spl22_461
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK11(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_461])]) ).
fof(f1478,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK11(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) )
| ~ spl22_116
| ~ spl22_145 ),
inference(duplicate_literal_removal,[],[f1473]) ).
fof(f1473,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK11(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) )
| ~ spl22_116
| ~ spl22_145 ),
inference(resolution,[],[f1412,f1118]) ).
fof(f6798,plain,
( spl22_460
| ~ spl22_100
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1465,f1411,f975,f6796]) ).
fof(f6796,plain,
( spl22_460
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_460])]) ).
fof(f1465,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_100
| ~ spl22_145 ),
inference(resolution,[],[f1412,f976]) ).
fof(f6762,plain,
( ~ spl22_11
| spl22_459
| ~ spl22_108
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1313,f1277,f1062,f6760,f490]) ).
fof(f6760,plain,
( spl22_459
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| szszuzczcdt0(sK12(X0)) = X0
| sz00 = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_459])]) ).
fof(f1313,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sz00 = X0
| szszuzczcdt0(sK12(X0)) = X0 )
| ~ spl22_108
| ~ spl22_131 ),
inference(resolution,[],[f1278,f1063]) ).
fof(f6758,plain,
( spl22_458
| ~ spl22_114
| ~ spl22_121 ),
inference(avatar_split_clause,[],[f1192,f1137,f1109,f6756]) ).
fof(f6756,plain,
( spl22_458
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_458])]) ).
fof(f1192,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) )
| ~ spl22_114
| ~ spl22_121 ),
inference(resolution,[],[f1138,f1110]) ).
fof(f6750,plain,
( ~ spl22_11
| ~ spl22_201
| spl22_445 ),
inference(avatar_split_clause,[],[f6618,f6340,f2299,f490]) ).
fof(f2299,plain,
( spl22_201
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_201])]) ).
fof(f6618,plain,
( ~ aSet0(szNzAzT0)
| ~ spl22_201
| spl22_445 ),
inference(resolution,[],[f6342,f2300]) ).
fof(f2300,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) )
| ~ spl22_201 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f6342,plain,
( ~ aSubsetOf0(slcrc0,szNzAzT0)
| spl22_445 ),
inference(avatar_component_clause,[],[f6340]) ).
fof(f6749,plain,
( ~ spl22_5
| spl22_457
| ~ spl22_39
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1917,f1890,f626,f6747,f460]) ).
fof(f460,plain,
( spl22_5
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f6747,plain,
( spl22_457
<=> ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,xQ)) = X0
| aElementOf0(sK21(X0,X1,xQ),xS)
| sP4(X0,X1,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_457])]) ).
fof(f1917,plain,
( ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,xQ)) = X0
| sP4(X0,X1,xQ)
| ~ aSet0(xQ)
| aElementOf0(sK21(X0,X1,xQ),xS) )
| ~ spl22_39
| ~ spl22_168 ),
inference(resolution,[],[f1891,f627]) ).
fof(f6713,plain,
( ~ spl22_24
| spl22_456
| ~ spl22_52
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1322,f1277,f694,f6711,f554]) ).
fof(f6711,plain,
( spl22_456
<=> ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| aSet0(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_456])]) ).
fof(f1322,plain,
( ! [X0] :
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(X0)
| aSet0(X0) )
| ~ spl22_52
| ~ spl22_131 ),
inference(resolution,[],[f1278,f695]) ).
fof(f6677,plain,
( ~ spl22_25
| spl22_455
| ~ spl22_50
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1317,f1277,f685,f6675,f559]) ).
fof(f6675,plain,
( spl22_455
<=> ! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| aSet0(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_455])]) ).
fof(f1317,plain,
( ! [X0] :
( slbdtsldtrb0(xT,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElement0(X0)
| aSet0(X0) )
| ~ spl22_50
| ~ spl22_131 ),
inference(resolution,[],[f1278,f686]) ).
fof(f6653,plain,
( ~ spl22_24
| spl22_454
| ~ spl22_74
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1179,f1117,f825,f6651,f554]) ).
fof(f6651,plain,
( spl22_454
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xS,xk)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_454])]) ).
fof(f1179,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xS,xk))) )
| ~ spl22_74
| ~ spl22_116 ),
inference(resolution,[],[f1118,f826]) ).
fof(f6629,plain,
( ~ spl22_25
| spl22_453
| ~ spl22_73
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1174,f1117,f821,f6627,f559]) ).
fof(f6627,plain,
( spl22_453
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xT,xk)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_453])]) ).
fof(f1174,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| xk = sbrdtbr0(sK11(X0,slbdtsldtrb0(xT,xk))) )
| ~ spl22_73
| ~ spl22_116 ),
inference(resolution,[],[f1118,f822]) ).
fof(f6409,plain,
( spl22_452
| ~ spl22_54
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1919,f1890,f705,f6407]) ).
fof(f6407,plain,
( spl22_452
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK21(X0,X1,X2)) = X0
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK21(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_452])]) ).
fof(f1919,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK21(X0,X1,X2)) = X0
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK21(X0,X1,X2)) )
| ~ spl22_54
| ~ spl22_168 ),
inference(duplicate_literal_removal,[],[f1895]) ).
fof(f1895,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK21(X0,X1,X2)) = X0
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl22_54
| ~ spl22_168 ),
inference(resolution,[],[f1891,f706]) ).
fof(f6405,plain,
( ~ spl22_11
| spl22_451
| ~ spl22_38
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1900,f1890,f619,f6403,f490]) ).
fof(f6403,plain,
( spl22_451
<=> ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sP1(sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_451])]) ).
fof(f1900,plain,
( ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,szNzAzT0)) = X0
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP1(sK21(X0,X1,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_168 ),
inference(resolution,[],[f1891,f620]) ).
fof(f6387,plain,
( ~ spl22_11
| spl22_450
| ~ spl22_43
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1833,f1780,f644,f6385,f490]) ).
fof(f6385,plain,
( spl22_450
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sdtlseqdt0(sz00,sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_450])]) ).
fof(f1833,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK21(X0,X1,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_165 ),
inference(resolution,[],[f1781,f645]) ).
fof(f6369,plain,
( ~ spl22_11
| spl22_449
| ~ spl22_40
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1831,f1780,f631,f6367,f490]) ).
fof(f6367,plain,
( spl22_449
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| isFinite0(slbdtrb0(sK21(X0,X1,szNzAzT0)))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_449])]) ).
fof(f1831,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK21(X0,X1,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_165 ),
inference(resolution,[],[f1781,f632]) ).
fof(f6359,plain,
( ~ spl22_237
| spl22_209
| spl22_448
| ~ spl22_43
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1801,f1772,f644,f6357,f2397,f2618]) ).
fof(f6357,plain,
( spl22_448
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sdtlseqdt0(sz00,sK16(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_448])]) ).
fof(f1801,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,sK16(szNzAzT0,X0)) )
| ~ spl22_43
| ~ spl22_163 ),
inference(resolution,[],[f1773,f645]) ).
fof(f6351,plain,
( ~ spl22_237
| spl22_209
| spl22_447
| ~ spl22_40
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1799,f1772,f631,f6349,f2397,f2618]) ).
fof(f6349,plain,
( spl22_447
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| isFinite0(slbdtrb0(sK16(szNzAzT0,X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_447])]) ).
fof(f1799,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(sK16(szNzAzT0,X0))) )
| ~ spl22_40
| ~ spl22_163 ),
inference(resolution,[],[f1773,f632]) ).
fof(f6347,plain,
( spl22_446
| ~ spl22_69
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1693,f1617,f783,f6345]) ).
fof(f6345,plain,
( spl22_446
<=> ! [X2,X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sP5(X2,sK19(X0,szNzAzT0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_446])]) ).
fof(f1693,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sP5(X2,sK19(X0,szNzAzT0,X1))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_159 ),
inference(resolution,[],[f1618,f784]) ).
fof(f6343,plain,
( ~ spl22_445
| ~ spl22_346
| spl22_350 ),
inference(avatar_split_clause,[],[f6197,f4272,f4201,f6340]) ).
fof(f6197,plain,
( ~ aSubsetOf0(slcrc0,szNzAzT0)
| ~ spl22_346
| spl22_350 ),
inference(superposition,[],[f4274,f4203]) ).
fof(f4274,plain,
( ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| spl22_350 ),
inference(avatar_component_clause,[],[f4272]) ).
fof(f6338,plain,
( spl22_444
| ~ spl22_69
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1668,f1617,f783,f6336]) ).
fof(f6336,plain,
( spl22_444
<=> ! [X2,X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sP5(X2,sK19(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_444])]) ).
fof(f1668,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sP5(X2,sK19(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_159 ),
inference(resolution,[],[f1618,f784]) ).
fof(f6334,plain,
( spl22_443
| ~ spl22_41
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1561,f1431,f635,f6332]) ).
fof(f6332,plain,
( spl22_443
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sK19(X0,X1,szNzAzT0),sK19(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_443])]) ).
fof(f1561,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sK19(X0,X1,szNzAzT0),sK19(X0,X1,szNzAzT0)) )
| ~ spl22_41
| ~ spl22_150 ),
inference(resolution,[],[f1432,f636]) ).
fof(f6330,plain,
( spl22_442
| ~ spl22_41
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1530,f1419,f635,f6328]) ).
fof(f6328,plain,
( spl22_442
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sdtlseqdt0(sK18(X0,X1,szNzAzT0),sK18(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_442])]) ).
fof(f1530,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sdtlseqdt0(sK18(X0,X1,szNzAzT0),sK18(X0,X1,szNzAzT0)) )
| ~ spl22_41
| ~ spl22_147 ),
inference(resolution,[],[f1420,f636]) ).
fof(f6326,plain,
( spl22_441
| ~ spl22_114
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1335,f1277,f1109,f6324]) ).
fof(f6324,plain,
( spl22_441
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_441])]) ).
fof(f1335,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 )
| ~ spl22_114
| ~ spl22_131 ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1301,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl22_114
| ~ spl22_131 ),
inference(resolution,[],[f1278,f1110]) ).
fof(f6311,plain,
( ~ spl22_11
| spl22_440
| ~ spl22_66
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1325,f1277,f771,f6309,f490]) ).
fof(f6309,plain,
( spl22_440
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0)
| isFinite0(X0)
| ~ aElement0(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_440])]) ).
fof(f771,plain,
( spl22_66
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_66])]) ).
fof(f1325,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElement0(sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_66
| ~ spl22_131 ),
inference(resolution,[],[f1278,f772]) ).
fof(f772,plain,
( ! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_66 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f6307,plain,
( spl22_439
| ~ spl22_44
| ~ spl22_130 ),
inference(avatar_split_clause,[],[f1300,f1273,f648,f6305]) ).
fof(f6305,plain,
( spl22_439
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ isFinite0(slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_439])]) ).
fof(f648,plain,
( spl22_44
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).
fof(f1273,plain,
( spl22_130
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_130])]) ).
fof(f1300,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ isFinite0(slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(X1,X0)) )
| ~ spl22_44
| ~ spl22_130 ),
inference(resolution,[],[f1274,f649]) ).
fof(f649,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_44 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1274,plain,
( ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) )
| ~ spl22_130 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f6303,plain,
( spl22_438
| ~ spl22_114
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1185,f1117,f1109,f6301]) ).
fof(f6301,plain,
( spl22_438
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK11(X1,X0)),sK11(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_438])]) ).
fof(f1185,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK11(X1,X0)),sK11(X1,X0)) = X0 )
| ~ spl22_114
| ~ spl22_116 ),
inference(duplicate_literal_removal,[],[f1160]) ).
fof(f1160,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK11(X1,X0)),sK11(X1,X0)) = X0
| ~ aSet0(X0) )
| ~ spl22_114
| ~ spl22_116 ),
inference(resolution,[],[f1118,f1110]) ).
fof(f6299,plain,
( spl22_437
| ~ spl22_72
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1140,f1109,f795,f6297]) ).
fof(f6297,plain,
( spl22_437
<=> ! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_437])]) ).
fof(f1140,plain,
( ! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_72
| ~ spl22_114 ),
inference(resolution,[],[f1110,f796]) ).
fof(f6278,plain,
( ~ spl22_436
| ~ spl22_346
| spl22_349 ),
inference(avatar_split_clause,[],[f6196,f4268,f4201,f6275]) ).
fof(f6275,plain,
( spl22_436
<=> aElement0(szmzizndt0(slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_436])]) ).
fof(f4268,plain,
( spl22_349
<=> aElement0(szmzizndt0(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_349])]) ).
fof(f6196,plain,
( ~ aElement0(szmzizndt0(slcrc0))
| ~ spl22_346
| spl22_349 ),
inference(superposition,[],[f4269,f4203]) ).
fof(f4269,plain,
( ~ aElement0(szmzizndt0(sdtmndt0(xQ,xy)))
| spl22_349 ),
inference(avatar_component_clause,[],[f4268]) ).
fof(f6273,plain,
( ~ spl22_5
| spl22_435
| ~ spl22_39
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1846,f1780,f626,f6271,f460]) ).
fof(f6271,plain,
( spl22_435
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,xQ),X1)
| aElementOf0(sK21(X0,X1,xQ),xS)
| sP4(X0,X1,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_435])]) ).
fof(f1846,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,xQ),X1)
| sP4(X0,X1,xQ)
| ~ aSet0(xQ)
| aElementOf0(sK21(X0,X1,xQ),xS) )
| ~ spl22_39
| ~ spl22_165 ),
inference(resolution,[],[f1781,f627]) ).
fof(f6264,plain,
( ~ spl22_24
| spl22_434
| ~ spl22_65
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1180,f1117,f765,f6262,f554]) ).
fof(f6262,plain,
( spl22_434
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xS,xk)),xS)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_434])]) ).
fof(f1180,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xS,xk)),xS) )
| ~ spl22_65
| ~ spl22_116 ),
inference(resolution,[],[f1118,f766]) ).
fof(f6255,plain,
( ~ spl22_25
| spl22_433
| ~ spl22_64
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1175,f1117,f761,f6253,f559]) ).
fof(f6253,plain,
( spl22_433
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xT,xk)),xT)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_433])]) ).
fof(f1175,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| aSubsetOf0(sK11(X0,slbdtsldtrb0(xT,xk)),xT) )
| ~ spl22_64
| ~ spl22_116 ),
inference(resolution,[],[f1118,f762]) ).
fof(f6250,plain,
( ~ spl22_23
| spl22_432
| ~ spl22_63
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1164,f1117,f757,f6248,f549]) ).
fof(f6248,plain,
( spl22_432
<=> ! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xQ)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_432])]) ).
fof(f1164,plain,
( ! [X0] :
( aSubsetOf0(sdtmndt0(xQ,xy),X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aSet0(X0)
| aElementOf0(sK11(X0,sdtmndt0(xQ,xy)),xQ) )
| ~ spl22_63
| ~ spl22_116 ),
inference(resolution,[],[f1118,f758]) ).
fof(f6177,plain,
( ~ spl22_431
| spl22_345
| ~ spl22_346 ),
inference(avatar_split_clause,[],[f6172,f4201,f4197,f6174]) ).
fof(f6174,plain,
( spl22_431
<=> aElementOf0(sK17(slcrc0),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_431])]) ).
fof(f4197,plain,
( spl22_345
<=> aElementOf0(sK17(sdtmndt0(xQ,xy)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_345])]) ).
fof(f6172,plain,
( ~ aElementOf0(sK17(slcrc0),xQ)
| spl22_345
| ~ spl22_346 ),
inference(forward_demodulation,[],[f4198,f4203]) ).
fof(f4198,plain,
( ~ aElementOf0(sK17(sdtmndt0(xQ,xy)),xQ)
| spl22_345 ),
inference(avatar_component_clause,[],[f4197]) ).
fof(f6171,plain,
( spl22_430
| ~ spl22_39
| ~ spl22_345 ),
inference(avatar_split_clause,[],[f4206,f4197,f626,f6168]) ).
fof(f6168,plain,
( spl22_430
<=> aElementOf0(sK17(sdtmndt0(xQ,xy)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_430])]) ).
fof(f4206,plain,
( aElementOf0(sK17(sdtmndt0(xQ,xy)),xS)
| ~ spl22_39
| ~ spl22_345 ),
inference(resolution,[],[f4199,f627]) ).
fof(f4199,plain,
( aElementOf0(sK17(sdtmndt0(xQ,xy)),xQ)
| ~ spl22_345 ),
inference(avatar_component_clause,[],[f4197]) ).
fof(f6166,plain,
( ~ spl22_24
| spl22_31
| spl22_429
| ~ spl22_81
| ~ spl22_106 ),
inference(avatar_split_clause,[],[f1056,f1043,f856,f6164,f588,f554]) ).
fof(f588,plain,
( spl22_31
<=> slcrc0 = slbdtsldtrb0(xS,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
fof(f6164,plain,
( spl22_429
<=> ! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_429])]) ).
fof(f1056,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xS,xk)))
| aElementOf0(X0,xS)
| slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk)) )
| ~ spl22_81
| ~ spl22_106 ),
inference(resolution,[],[f1044,f857]) ).
fof(f6125,plain,
( ~ spl22_25
| spl22_325
| spl22_428
| ~ spl22_81
| ~ spl22_105 ),
inference(avatar_split_clause,[],[f1052,f1039,f856,f6123,f3908,f559]) ).
fof(f3908,plain,
( spl22_325
<=> slcrc0 = slbdtsldtrb0(xT,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_325])]) ).
fof(f6123,plain,
( spl22_428
<=> ! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_428])]) ).
fof(f1052,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK17(slbdtsldtrb0(xT,xk)))
| aElementOf0(X0,xT)
| slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk)) )
| ~ spl22_81
| ~ spl22_105 ),
inference(resolution,[],[f1040,f857]) ).
fof(f5913,plain,
( spl22_427
| ~ spl22_58
| ~ spl22_167 ),
inference(avatar_split_clause,[],[f1882,f1788,f721,f5911]) ).
fof(f5911,plain,
( spl22_427
<=> ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_427])]) ).
fof(f721,plain,
( spl22_58
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_58])]) ).
fof(f1882,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_58
| ~ spl22_167 ),
inference(duplicate_literal_removal,[],[f1869]) ).
fof(f1869,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl22_58
| ~ spl22_167 ),
inference(resolution,[],[f1789,f722]) ).
fof(f722,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_58 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f5909,plain,
( spl22_426
| ~ spl22_54
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1848,f1780,f705,f5907]) ).
fof(f5907,plain,
( spl22_426
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK21(X0,X1,X2),X1)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK21(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_426])]) ).
fof(f1848,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK21(X0,X1,X2),X1)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK21(X0,X1,X2)) )
| ~ spl22_54
| ~ spl22_165 ),
inference(duplicate_literal_removal,[],[f1825]) ).
fof(f1825,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK21(X0,X1,X2),X1)
| sP4(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK21(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl22_54
| ~ spl22_165 ),
inference(resolution,[],[f1781,f706]) ).
fof(f5892,plain,
( ~ spl22_11
| spl22_425
| ~ spl22_38
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1830,f1780,f619,f5890,f490]) ).
fof(f5890,plain,
( spl22_425
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP1(sK21(X0,X1,szNzAzT0))
| sP4(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_425])]) ).
fof(f1830,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,szNzAzT0),X1)
| sP4(X0,X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sP1(sK21(X0,X1,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_165 ),
inference(resolution,[],[f1781,f620]) ).
fof(f5888,plain,
( ~ spl22_237
| spl22_209
| spl22_424
| ~ spl22_38
| ~ spl22_163 ),
inference(avatar_split_clause,[],[f1798,f1772,f619,f5886,f2397,f2618]) ).
fof(f5886,plain,
( spl22_424
<=> ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| sP1(sK16(szNzAzT0,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_424])]) ).
fof(f1798,plain,
( ! [X0] :
( szmzizndt0(szNzAzT0) = X0
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP1(sK16(szNzAzT0,X0)) )
| ~ spl22_38
| ~ spl22_163 ),
inference(resolution,[],[f1773,f620]) ).
fof(f5884,plain,
( spl22_423
| ~ spl22_69
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1564,f1431,f783,f5882]) ).
fof(f5882,plain,
( spl22_423
<=> ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sP5(X2,sK19(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_423])]) ).
fof(f1564,plain,
( ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sP5(X2,sK19(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_150 ),
inference(resolution,[],[f1432,f784]) ).
fof(f5877,plain,
( spl22_422
| ~ spl22_102
| ~ spl22_149 ),
inference(avatar_split_clause,[],[f1551,f1427,f983,f5875]) ).
fof(f5875,plain,
( spl22_422
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_422])]) ).
fof(f983,plain,
( spl22_102
<=> ! [X0,X1] :
( sP3(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_102])]) ).
fof(f1427,plain,
( spl22_149
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_149])]) ).
fof(f1551,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) )
| ~ spl22_102
| ~ spl22_149 ),
inference(resolution,[],[f1428,f984]) ).
fof(f984,plain,
( ! [X0,X1] :
( sP3(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl22_102 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1428,plain,
( ! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl22_149 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f5873,plain,
( spl22_421
| ~ spl22_69
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1533,f1419,f783,f5871]) ).
fof(f5871,plain,
( spl22_421
<=> ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sP5(X2,sK18(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_421])]) ).
fof(f1533,plain,
( ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sP5(X2,sK18(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_147 ),
inference(resolution,[],[f1420,f784]) ).
fof(f5869,plain,
( spl22_420
| ~ spl22_69
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1487,f1415,f783,f5867]) ).
fof(f5867,plain,
( spl22_420
<=> ! [X2,X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sP5(X2,sK13(X0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_420])]) ).
fof(f1487,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sP5(X2,sK13(X0,X1))
| ~ aSet0(X2) )
| ~ spl22_69
| ~ spl22_146 ),
inference(resolution,[],[f1416,f784]) ).
fof(f5865,plain,
( spl22_419
| ~ spl22_41
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1484,f1415,f635,f5863]) ).
fof(f5863,plain,
( spl22_419
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK13(X0,X1),sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_419])]) ).
fof(f1484,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK13(X0,X1),sK13(X0,X1)) )
| ~ spl22_41
| ~ spl22_146 ),
inference(resolution,[],[f1416,f636]) ).
fof(f5817,plain,
( ~ spl22_11
| spl22_418
| ~ spl22_95
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1152,f1109,f955,f5815,f490]) ).
fof(f5815,plain,
( spl22_418
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK12(X0)),sK12(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_418])]) ).
fof(f955,plain,
( spl22_95
<=> ! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_95])]) ).
fof(f1152,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK12(X0)),sK12(X0))
| ~ aSet0(szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_95
| ~ spl22_114 ),
inference(resolution,[],[f1110,f956]) ).
fof(f956,plain,
( ! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_95 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f5813,plain,
( spl22_417
| ~ spl22_100
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1145,f1109,f975,f5811]) ).
fof(f5811,plain,
( spl22_417
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_417])]) ).
fof(f1145,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_100
| ~ spl22_114 ),
inference(resolution,[],[f1110,f976]) ).
fof(f5809,plain,
( spl22_416
| ~ spl22_95
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1087,f1062,f955,f5807]) ).
fof(f5807,plain,
( spl22_416
<=> ! [X0] :
( sz00 = sK12(X0)
| sK12(X0) = szszuzczcdt0(sK12(sK12(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_416])]) ).
fof(f1087,plain,
( ! [X0] :
( sz00 = sK12(X0)
| sK12(X0) = szszuzczcdt0(sK12(sK12(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_95
| ~ spl22_108 ),
inference(resolution,[],[f1063,f956]) ).
fof(f5780,plain,
( spl22_415
| ~ spl22_17
| ~ spl22_315 ),
inference(avatar_split_clause,[],[f5652,f3755,f520,f5777]) ).
fof(f5777,plain,
( spl22_415
<=> aElementOf0(xy,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_415])]) ).
fof(f520,plain,
( spl22_17
<=> aElementOf0(xy,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f5652,plain,
( aElementOf0(xy,xT)
| ~ spl22_17
| ~ spl22_315 ),
inference(resolution,[],[f3756,f522]) ).
fof(f522,plain,
( aElementOf0(xy,xQ)
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f5775,plain,
( ~ spl22_237
| spl22_209
| spl22_413
| spl22_414
| ~ spl22_100
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1085,f1062,f975,f5772,f5768,f2397,f2618]) ).
fof(f5768,plain,
( spl22_413
<=> szmzizndt0(szNzAzT0) = szszuzczcdt0(sK12(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_413])]) ).
fof(f5772,plain,
( spl22_414
<=> sz00 = szmzizndt0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_414])]) ).
fof(f1085,plain,
( sz00 = szmzizndt0(szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(sK12(szmzizndt0(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl22_100
| ~ spl22_108 ),
inference(resolution,[],[f1063,f976]) ).
fof(f5766,plain,
( spl22_412
| ~ spl22_97
| ~ spl22_107 ),
inference(avatar_split_clause,[],[f1079,f1058,f963,f5764]) ).
fof(f5764,plain,
( spl22_412
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK15(X1)))
| ~ aSet0(slbdtrb0(sK15(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_412])]) ).
fof(f1079,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK15(X1)))
| ~ aSet0(slbdtrb0(sK15(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl22_97
| ~ spl22_107 ),
inference(resolution,[],[f1059,f964]) ).
fof(f5762,plain,
( ~ spl22_4
| ~ spl22_23
| spl22_411
| spl22_34
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1328,f1277,f602,f5759,f549,f455]) ).
fof(f455,plain,
( spl22_4
<=> aElement0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f5759,plain,
( spl22_411
<=> sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_411])]) ).
fof(f602,plain,
( spl22_34
<=> aElementOf0(xy,sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
fof(f1328,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xy),xy)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xy)
| spl22_34
| ~ spl22_131 ),
inference(resolution,[],[f1278,f604]) ).
fof(f604,plain,
( ~ aElementOf0(xy,sdtmndt0(xQ,xy))
| spl22_34 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f5756,plain,
( ~ spl22_24
| spl22_410
| ~ spl22_52
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1181,f1117,f694,f5754,f554]) ).
fof(f5754,plain,
( spl22_410
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| aSet0(sK11(X0,slbdtsldtrb0(xS,xk)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_410])]) ).
fof(f1181,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xS,xk),X0)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(X0)
| aSet0(sK11(X0,slbdtsldtrb0(xS,xk))) )
| ~ spl22_52
| ~ spl22_116 ),
inference(resolution,[],[f1118,f695]) ).
fof(f5751,plain,
( ~ spl22_25
| spl22_409
| ~ spl22_50
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1176,f1117,f685,f5749,f559]) ).
fof(f5749,plain,
( spl22_409
<=> ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| aSet0(sK11(X0,slbdtsldtrb0(xT,xk)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_409])]) ).
fof(f1176,plain,
( ! [X0] :
( aSubsetOf0(slbdtsldtrb0(xT,xk),X0)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aSet0(X0)
| aSet0(sK11(X0,slbdtsldtrb0(xT,xk))) )
| ~ spl22_50
| ~ spl22_116 ),
inference(resolution,[],[f1118,f686]) ).
fof(f5738,plain,
( ~ spl22_24
| spl22_31
| spl22_408
| ~ spl22_81
| ~ spl22_89 ),
inference(avatar_split_clause,[],[f932,f926,f856,f5735,f588,f554]) ).
fof(f932,plain,
( aElementOf0(sK17(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xT,xk))
| slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ spl22_81
| ~ spl22_89 ),
inference(resolution,[],[f927,f857]) ).
fof(f5330,plain,
( ~ spl22_9
| ~ spl22_291
| spl22_407
| ~ spl22_33
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1886,f1411,f597,f5327,f3374,f480]) ).
fof(f5327,plain,
( spl22_407
<=> sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_407])]) ).
fof(f597,plain,
( spl22_33
<=> aElementOf0(xx,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
fof(f1886,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ isFinite0(xP)
| ~ aSet0(xP)
| ~ spl22_33
| ~ spl22_145 ),
inference(resolution,[],[f599,f1412]) ).
fof(f599,plain,
( aElementOf0(xx,xP)
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f5312,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_93
| spl22_290 ),
inference(avatar_split_clause,[],[f3378,f3370,f946,f465,f460,f455]) ).
fof(f465,plain,
( spl22_6
<=> isFinite0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f946,plain,
( spl22_93
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_93])]) ).
fof(f3378,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy)
| ~ spl22_93
| spl22_290 ),
inference(resolution,[],[f3372,f947]) ).
fof(f947,plain,
( ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl22_93 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f3372,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl22_290 ),
inference(avatar_component_clause,[],[f3370]) ).
fof(f5243,plain,
( spl22_406
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2046,f1989,f5241]) ).
fof(f5241,plain,
( spl22_406
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1,X1),X1)
| sK18(X0,X1,X1) = X0
| sP2(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_406])]) ).
fof(f2046,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1,X1),X1)
| sK18(X0,X1,X1) = X0
| sP2(X0,X1,X1) )
| ~ spl22_174 ),
inference(factoring,[],[f1990]) ).
fof(f5239,plain,
( spl22_405
| ~ spl22_21
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f2023,f1989,f540,f5237]) ).
fof(f5237,plain,
( spl22_405
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,slcrc0,X1),X1)
| sK18(X0,slcrc0,X1) = X0
| sP2(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_405])]) ).
fof(f540,plain,
( spl22_21
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f2023,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,slcrc0,X1),X1)
| sK18(X0,slcrc0,X1) = X0
| sP2(X0,slcrc0,X1) )
| ~ spl22_21
| ~ spl22_174 ),
inference(resolution,[],[f1990,f541]) ).
fof(f541,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f5235,plain,
( spl22_404
| ~ spl22_21
| ~ spl22_174 ),
inference(avatar_split_clause,[],[f1996,f1989,f540,f5233]) ).
fof(f5233,plain,
( spl22_404
<=> ! [X0,X1] :
( aElementOf0(sK18(X0,X1,slcrc0),X1)
| sK18(X0,X1,slcrc0) = X0
| sP2(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_404])]) ).
fof(f1996,plain,
( ! [X0,X1] :
( aElementOf0(sK18(X0,X1,slcrc0),X1)
| sK18(X0,X1,slcrc0) = X0
| sP2(X0,X1,slcrc0) )
| ~ spl22_21
| ~ spl22_174 ),
inference(resolution,[],[f1990,f541]) ).
fof(f5223,plain,
( ~ spl22_13
| ~ spl22_10
| spl22_403
| ~ spl22_46
| ~ spl22_162 ),
inference(avatar_split_clause,[],[f1769,f1722,f656,f5221,f485,f500]) ).
fof(f500,plain,
( spl22_13
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f5221,plain,
( spl22_403
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK20(slcrc0,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_403])]) ).
fof(f656,plain,
( spl22_46
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_46])]) ).
fof(f1769,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| sbrdtbr0(sK20(slcrc0,X0)) = X0
| ~ isFinite0(slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slcrc0) )
| ~ spl22_46
| ~ spl22_162 ),
inference(superposition,[],[f1723,f658]) ).
fof(f658,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl22_46 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f5219,plain,
( spl22_402
| ~ spl22_43
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1691,f1617,f644,f5217]) ).
fof(f5217,plain,
( spl22_402
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK19(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_402])]) ).
fof(f1691,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK19(X0,szNzAzT0,X1)) )
| ~ spl22_43
| ~ spl22_159 ),
inference(resolution,[],[f1618,f645]) ).
fof(f5215,plain,
( spl22_401
| ~ spl22_40
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1689,f1617,f631,f5213]) ).
fof(f5213,plain,
( spl22_401
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK19(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_401])]) ).
fof(f1689,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK19(X0,szNzAzT0,X1))) )
| ~ spl22_40
| ~ spl22_159 ),
inference(resolution,[],[f1618,f632]) ).
fof(f5211,plain,
( spl22_400
| ~ spl22_43
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1666,f1617,f644,f5209]) ).
fof(f5209,plain,
( spl22_400
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK19(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_400])]) ).
fof(f1666,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK19(X0,X1,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_159 ),
inference(resolution,[],[f1618,f645]) ).
fof(f5207,plain,
( spl22_399
| ~ spl22_40
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1664,f1617,f631,f5205]) ).
fof(f5205,plain,
( spl22_399
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK19(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_399])]) ).
fof(f1664,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK19(X0,X1,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_159 ),
inference(resolution,[],[f1618,f632]) ).
fof(f5203,plain,
( spl22_398
| ~ spl22_54
| ~ spl22_153 ),
inference(avatar_split_clause,[],[f1596,f1443,f705,f5201]) ).
fof(f5201,plain,
( spl22_398
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_398])]) ).
fof(f1443,plain,
( spl22_153
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_153])]) ).
fof(f1596,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl22_54
| ~ spl22_153 ),
inference(resolution,[],[f1444,f706]) ).
fof(f1444,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_153 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f5199,plain,
( spl22_397
| ~ spl22_81
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1477,f1411,f856,f5197]) ).
fof(f5197,plain,
( spl22_397
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK17(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_397])]) ).
fof(f1477,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK17(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl22_81
| ~ spl22_145 ),
inference(duplicate_literal_removal,[],[f1476]) ).
fof(f1476,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK17(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl22_81
| ~ spl22_145 ),
inference(resolution,[],[f1412,f857]) ).
fof(f5195,plain,
( spl22_396
| ~ spl22_123
| ~ spl22_133 ),
inference(avatar_split_clause,[],[f1348,f1285,f1229,f5193]) ).
fof(f5193,plain,
( spl22_396
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP0(szszuzczcdt0(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_396])]) ).
fof(f1285,plain,
( spl22_133
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_133])]) ).
fof(f1348,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP0(szszuzczcdt0(X1),X2) )
| ~ spl22_123
| ~ spl22_133 ),
inference(duplicate_literal_removal,[],[f1347]) ).
fof(f1347,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(X1),X2) )
| ~ spl22_123
| ~ spl22_133 ),
inference(resolution,[],[f1286,f1230]) ).
fof(f1286,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_133 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f5191,plain,
( ~ spl22_11
| spl22_395
| ~ spl22_69
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1312,f1277,f783,f5189,f490]) ).
fof(f5189,plain,
( spl22_395
<=> ! [X0,X1] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(X1)
| sP5(X1,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_395])]) ).
fof(f1312,plain,
( ! [X0,X1] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP5(X1,X0)
| ~ aSet0(X1) )
| ~ spl22_69
| ~ spl22_131 ),
inference(resolution,[],[f1278,f784]) ).
fof(f5163,plain,
( ~ spl22_11
| spl22_394
| ~ spl22_68
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1311,f1277,f779,f5161,f490]) ).
fof(f5161,plain,
( spl22_394
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_394])]) ).
fof(f1311,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl22_68
| ~ spl22_131 ),
inference(resolution,[],[f1278,f780]) ).
fof(f5159,plain,
( ~ spl22_393
| spl22_369
| ~ spl22_173
| ~ spl22_279 ),
inference(avatar_split_clause,[],[f3191,f3183,f1967,f4408,f5156]) ).
fof(f5156,plain,
( spl22_393
<=> aSubsetOf0(sK7,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_393])]) ).
fof(f4408,plain,
( spl22_369
<=> sdtlseqdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_369])]) ).
fof(f1967,plain,
( spl22_173
<=> xk = sbrdtbr0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_173])]) ).
fof(f3183,plain,
( spl22_279
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_279])]) ).
fof(f3191,plain,
( sdtlseqdt0(xk,sz00)
| ~ aSubsetOf0(sK7,slcrc0)
| ~ spl22_173
| ~ spl22_279 ),
inference(superposition,[],[f3184,f1969]) ).
fof(f1969,plain,
( xk = sbrdtbr0(sK7)
| ~ spl22_173 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f3184,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) )
| ~ spl22_279 ),
inference(avatar_component_clause,[],[f3183]) ).
fof(f5135,plain,
( ~ spl22_11
| spl22_392
| ~ spl22_68
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1170,f1117,f779,f5133,f490]) ).
fof(f5133,plain,
( spl22_392
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sK11(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK11(X0,szNzAzT0)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_392])]) ).
fof(f1170,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sK11(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK11(X0,szNzAzT0))) )
| ~ spl22_68
| ~ spl22_116 ),
inference(resolution,[],[f1118,f780]) ).
fof(f5125,plain,
( ~ spl22_11
| spl22_391
| ~ spl22_80
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1153,f1109,f852,f5123,f490]) ).
fof(f5123,plain,
( spl22_391
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK15(X0)),sK15(X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_391])]) ).
fof(f852,plain,
( spl22_80
<=> ! [X0] :
( aElementOf0(sK15(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_80])]) ).
fof(f1153,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK15(X0)),sK15(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_80
| ~ spl22_114 ),
inference(resolution,[],[f1110,f853]) ).
fof(f853,plain,
( ! [X0] :
( aElementOf0(sK15(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_80 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f5097,plain,
( ~ spl22_11
| spl22_209
| spl22_389
| spl22_390
| ~ spl22_81
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1089,f1062,f856,f5094,f5090,f2397,f490]) ).
fof(f5090,plain,
( spl22_389
<=> sK17(szNzAzT0) = szszuzczcdt0(sK12(sK17(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_389])]) ).
fof(f5094,plain,
( spl22_390
<=> sz00 = sK17(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_390])]) ).
fof(f1089,plain,
( sz00 = sK17(szNzAzT0)
| sK17(szNzAzT0) = szszuzczcdt0(sK12(sK17(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| ~ spl22_81
| ~ spl22_108 ),
inference(resolution,[],[f1063,f857]) ).
fof(f5088,plain,
( spl22_388
| ~ spl22_80
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1088,f1062,f852,f5086]) ).
fof(f5086,plain,
( spl22_388
<=> ! [X0] :
( sz00 = sK15(X0)
| sK15(X0) = szszuzczcdt0(sK12(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_388])]) ).
fof(f1088,plain,
( ! [X0] :
( sz00 = sK15(X0)
| sK15(X0) = szszuzczcdt0(sK12(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl22_80
| ~ spl22_108 ),
inference(resolution,[],[f1063,f853]) ).
fof(f4981,plain,
( ~ spl22_21
| ~ spl22_361 ),
inference(avatar_contradiction_clause,[],[f4977]) ).
fof(f4977,plain,
( $false
| ~ spl22_21
| ~ spl22_361 ),
inference(resolution,[],[f4369,f541]) ).
fof(f4369,plain,
( aElementOf0(xQ,slcrc0)
| ~ spl22_361 ),
inference(avatar_component_clause,[],[f4367]) ).
fof(f4367,plain,
( spl22_361
<=> aElementOf0(xQ,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_361])]) ).
fof(f4967,plain,
( ~ spl22_5
| ~ spl22_6
| spl22_387
| ~ spl22_22
| ~ spl22_162 ),
inference(avatar_split_clause,[],[f1768,f1722,f544,f4965,f465,f460]) ).
fof(f4965,plain,
( spl22_387
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK20(xQ,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_387])]) ).
fof(f544,plain,
( spl22_22
<=> xk = sbrdtbr0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f1768,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sbrdtbr0(sK20(xQ,X0)) = X0
| ~ isFinite0(xQ)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xQ) )
| ~ spl22_22
| ~ spl22_162 ),
inference(superposition,[],[f1723,f546]) ).
fof(f546,plain,
( xk = sbrdtbr0(xQ)
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f4953,plain,
( ~ spl22_5
| ~ spl22_6
| spl22_386
| ~ spl22_22
| ~ spl22_39
| ~ spl22_161 ),
inference(avatar_split_clause,[],[f1763,f1718,f626,f544,f4951,f465,f460]) ).
fof(f4951,plain,
( spl22_386
<=> ! [X0] :
( sbrdtbr0(sdtpldt0(xQ,X0)) = szszuzczcdt0(xk)
| aElementOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_386])]) ).
fof(f1763,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(xQ,X0)) = szszuzczcdt0(xk)
| ~ aElement0(X0)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| aElementOf0(X0,xS) )
| ~ spl22_22
| ~ spl22_39
| ~ spl22_161 ),
inference(forward_demodulation,[],[f1748,f546]) ).
fof(f1748,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(xQ,X0)) = szszuzczcdt0(sbrdtbr0(xQ))
| ~ aElement0(X0)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| aElementOf0(X0,xS) )
| ~ spl22_39
| ~ spl22_161 ),
inference(resolution,[],[f1719,f627]) ).
fof(f4949,plain,
( spl22_385
| ~ spl22_39
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1704,f1617,f626,f4947]) ).
fof(f4947,plain,
( spl22_385
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,xQ,X1),X1)
| sP3(X0,xQ,X1)
| aElementOf0(sK19(X0,xQ,X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_385])]) ).
fof(f1704,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,xQ,X1),X1)
| sP3(X0,xQ,X1)
| aElementOf0(sK19(X0,xQ,X1),xS) )
| ~ spl22_39
| ~ spl22_159 ),
inference(resolution,[],[f1618,f627]) ).
fof(f4945,plain,
( spl22_384
| ~ spl22_39
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1679,f1617,f626,f4943]) ).
fof(f4943,plain,
( spl22_384
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,xQ),X1)
| sP3(X0,X1,xQ)
| aElementOf0(sK19(X0,X1,xQ),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_384])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,xQ),X1)
| sP3(X0,X1,xQ)
| aElementOf0(sK19(X0,X1,xQ),xS) )
| ~ spl22_39
| ~ spl22_159 ),
inference(resolution,[],[f1618,f627]) ).
fof(f4906,plain,
( spl22_383
| ~ spl22_24
| spl22_31
| ~ spl22_74
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f909,f856,f825,f588,f554,f4903]) ).
fof(f4903,plain,
( spl22_383
<=> xk = sbrdtbr0(sK17(slbdtsldtrb0(xS,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_383])]) ).
fof(f909,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| xk = sbrdtbr0(sK17(slbdtsldtrb0(xS,xk)))
| ~ spl22_74
| ~ spl22_81 ),
inference(resolution,[],[f857,f826]) ).
fof(f4866,plain,
( spl22_382
| ~ spl22_185
| ~ spl22_325 ),
inference(avatar_split_clause,[],[f4223,f3908,f2139,f4863]) ).
fof(f4863,plain,
( spl22_382
<=> aElementOf0(sK7,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_382])]) ).
fof(f2139,plain,
( spl22_185
<=> aElementOf0(sK7,slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_185])]) ).
fof(f4223,plain,
( aElementOf0(sK7,slcrc0)
| ~ spl22_185
| ~ spl22_325 ),
inference(superposition,[],[f2141,f3910]) ).
fof(f3910,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ spl22_325 ),
inference(avatar_component_clause,[],[f3908]) ).
fof(f2141,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| ~ spl22_185 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f4854,plain,
( spl22_381
| ~ spl22_25
| spl22_325
| ~ spl22_73
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f906,f856,f821,f3908,f559,f4851]) ).
fof(f4851,plain,
( spl22_381
<=> xk = sbrdtbr0(sK17(slbdtsldtrb0(xT,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_381])]) ).
fof(f906,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| xk = sbrdtbr0(sK17(slbdtsldtrb0(xT,xk)))
| ~ spl22_73
| ~ spl22_81 ),
inference(resolution,[],[f857,f822]) ).
fof(f4455,plain,
( spl22_380
| ~ spl22_79
| ~ spl22_160 ),
inference(avatar_split_clause,[],[f1713,f1621,f848,f4453]) ).
fof(f4453,plain,
( spl22_380
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK20(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_380])]) ).
fof(f1713,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK20(X1,X0)) )
| ~ spl22_79
| ~ spl22_160 ),
inference(duplicate_literal_removal,[],[f1710]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK20(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl22_79
| ~ spl22_160 ),
inference(resolution,[],[f1622,f849]) ).
fof(f4451,plain,
( spl22_379
| ~ spl22_55
| ~ spl22_160 ),
inference(avatar_split_clause,[],[f1712,f1621,f709,f4449]) ).
fof(f4449,plain,
( spl22_379
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK20(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_379])]) ).
fof(f1712,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK20(X1,X0)) )
| ~ spl22_55
| ~ spl22_160 ),
inference(duplicate_literal_removal,[],[f1711]) ).
fof(f1711,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK20(X1,X0))
| ~ aSet0(X1) )
| ~ spl22_55
| ~ spl22_160 ),
inference(resolution,[],[f1622,f710]) ).
fof(f4447,plain,
( spl22_378
| ~ spl22_38
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1688,f1617,f619,f4445]) ).
fof(f4445,plain,
( spl22_378
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sP1(sK19(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_378])]) ).
fof(f1688,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,szNzAzT0,X1),X1)
| sP3(X0,szNzAzT0,X1)
| sP1(sK19(X0,szNzAzT0,X1)) )
| ~ spl22_38
| ~ spl22_159 ),
inference(resolution,[],[f1618,f620]) ).
fof(f4443,plain,
( spl22_377
| ~ spl22_38
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1663,f1617,f619,f4441]) ).
fof(f4441,plain,
( spl22_377
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sP1(sK19(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_377])]) ).
fof(f1663,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,szNzAzT0),X1)
| sP3(X0,X1,szNzAzT0)
| sP1(sK19(X0,X1,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_159 ),
inference(resolution,[],[f1618,f620]) ).
fof(f4439,plain,
( spl22_376
| ~ spl22_54
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1653,f1613,f705,f4437]) ).
fof(f4437,plain,
( spl22_376
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_376])]) ).
fof(f1653,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK13(X0,X1)) )
| ~ spl22_54
| ~ spl22_158 ),
inference(duplicate_literal_removal,[],[f1630]) ).
fof(f1630,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK13(X0,X1))
| ~ aSet0(X1) )
| ~ spl22_54
| ~ spl22_158 ),
inference(resolution,[],[f1614,f706]) ).
fof(f4435,plain,
( spl22_375
| ~ spl22_57
| ~ spl22_158 ),
inference(avatar_split_clause,[],[f1624,f1613,f717,f4433]) ).
fof(f4433,plain,
( spl22_375
<=> ! [X0] :
( aElementOf0(sK13(sz00,X0),X0)
| sP0(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK13(sz00,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_375])]) ).
fof(f717,plain,
( spl22_57
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_57])]) ).
fof(f1624,plain,
( ! [X0] :
( aElementOf0(sK13(sz00,X0),X0)
| sP0(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK13(sz00,X0),szNzAzT0) )
| ~ spl22_57
| ~ spl22_158 ),
inference(resolution,[],[f1614,f718]) ).
fof(f718,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_57 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f4431,plain,
( spl22_374
| ~ spl22_58
| ~ spl22_152 ),
inference(avatar_split_clause,[],[f1593,f1439,f721,f4429]) ).
fof(f4429,plain,
( spl22_374
<=> ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_374])]) ).
fof(f1593,plain,
( ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ spl22_58
| ~ spl22_152 ),
inference(duplicate_literal_removal,[],[f1582]) ).
fof(f1582,plain,
( ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_58
| ~ spl22_152 ),
inference(resolution,[],[f1440,f722]) ).
fof(f4427,plain,
( spl22_373
| ~ spl22_43
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1562,f1431,f644,f4425]) ).
fof(f4425,plain,
( spl22_373
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK19(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_373])]) ).
fof(f1562,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK19(X0,X1,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_150 ),
inference(resolution,[],[f1432,f645]) ).
fof(f4423,plain,
( spl22_372
| ~ spl22_40
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1560,f1431,f631,f4421]) ).
fof(f4421,plain,
( spl22_372
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK19(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_372])]) ).
fof(f1560,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK19(X0,X1,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_150 ),
inference(resolution,[],[f1432,f632]) ).
fof(f4419,plain,
( spl22_371
| ~ spl22_43
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1531,f1419,f644,f4417]) ).
fof(f4417,plain,
( spl22_371
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK18(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_371])]) ).
fof(f1531,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK18(X0,X1,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_147 ),
inference(resolution,[],[f1420,f645]) ).
fof(f4415,plain,
( spl22_370
| ~ spl22_40
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1529,f1419,f631,f4413]) ).
fof(f4413,plain,
( spl22_370
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK18(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_370])]) ).
fof(f1529,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK18(X0,X1,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_147 ),
inference(resolution,[],[f1420,f632]) ).
fof(f4411,plain,
( ~ spl22_368
| spl22_369
| ~ spl22_22
| ~ spl22_279 ),
inference(avatar_split_clause,[],[f3190,f3183,f544,f4408,f4404]) ).
fof(f4404,plain,
( spl22_368
<=> aSubsetOf0(xQ,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_368])]) ).
fof(f3190,plain,
( sdtlseqdt0(xk,sz00)
| ~ aSubsetOf0(xQ,slcrc0)
| ~ spl22_22
| ~ spl22_279 ),
inference(superposition,[],[f3184,f546]) ).
fof(f4402,plain,
( spl22_367
| ~ spl22_43
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1485,f1415,f644,f4400]) ).
fof(f4400,plain,
( spl22_367
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_367])]) ).
fof(f1485,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK13(X0,X1)) )
| ~ spl22_43
| ~ spl22_146 ),
inference(resolution,[],[f1416,f645]) ).
fof(f4398,plain,
( spl22_366
| ~ spl22_40
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1483,f1415,f631,f4396]) ).
fof(f4396,plain,
( spl22_366
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_366])]) ).
fof(f1483,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK13(X0,X1))) )
| ~ spl22_40
| ~ spl22_146 ),
inference(resolution,[],[f1416,f632]) ).
fof(f4394,plain,
( spl22_365
| ~ spl22_55
| ~ spl22_135 ),
inference(avatar_split_clause,[],[f1358,f1293,f709,f4392]) ).
fof(f4392,plain,
( spl22_365
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_365])]) ).
fof(f1358,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl22_55
| ~ spl22_135 ),
inference(resolution,[],[f1294,f710]) ).
fof(f4390,plain,
( spl22_364
| ~ spl22_123
| ~ spl22_126 ),
inference(avatar_split_clause,[],[f1265,f1244,f1229,f4388]) ).
fof(f4388,plain,
( spl22_364
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_364])]) ).
fof(f1265,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP0(X0,X2) )
| ~ spl22_123
| ~ spl22_126 ),
inference(duplicate_literal_removal,[],[f1264]) ).
fof(f1264,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sP0(X0,X2) )
| ~ spl22_123
| ~ spl22_126 ),
inference(resolution,[],[f1245,f1230]) ).
fof(f4386,plain,
( spl22_362
| ~ spl22_363
| spl22_325
| ~ spl22_50
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1019,f975,f685,f3908,f4383,f4379]) ).
fof(f4379,plain,
( spl22_362
<=> aSet0(szmzizndt0(slbdtsldtrb0(xT,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_362])]) ).
fof(f4383,plain,
( spl22_363
<=> aSubsetOf0(slbdtsldtrb0(xT,xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_363])]) ).
fof(f1019,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xT,xk),szNzAzT0)
| aSet0(szmzizndt0(slbdtsldtrb0(xT,xk)))
| ~ spl22_50
| ~ spl22_100 ),
inference(resolution,[],[f976,f686]) ).
fof(f4370,plain,
( spl22_361
| ~ spl22_184
| ~ spl22_325 ),
inference(avatar_split_clause,[],[f4222,f3908,f2134,f4367]) ).
fof(f2134,plain,
( spl22_184
<=> aElementOf0(xQ,slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_184])]) ).
fof(f4222,plain,
( aElementOf0(xQ,slcrc0)
| ~ spl22_184
| ~ spl22_325 ),
inference(superposition,[],[f2136,f3910]) ).
fof(f2136,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ spl22_184 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f4365,plain,
( spl22_360
| ~ spl22_101
| ~ spl22_124 ),
inference(avatar_split_clause,[],[f1256,f1233,f979,f4363]) ).
fof(f4363,plain,
( spl22_360
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_360])]) ).
fof(f979,plain,
( spl22_101
<=> ! [X0,X1] :
( sP2(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_101])]) ).
fof(f1233,plain,
( spl22_124
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_124])]) ).
fof(f1256,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl22_101
| ~ spl22_124 ),
inference(resolution,[],[f1234,f980]) ).
fof(f980,plain,
( ! [X0,X1] :
( sP2(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl22_101 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f1234,plain,
( ! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 )
| ~ spl22_124 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f4361,plain,
( spl22_359
| ~ spl22_58
| ~ spl22_123 ),
inference(avatar_split_clause,[],[f1255,f1229,f721,f4359]) ).
fof(f4359,plain,
( spl22_359
<=> ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_359])]) ).
fof(f1255,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP0(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ spl22_58
| ~ spl22_123 ),
inference(resolution,[],[f1230,f722]) ).
fof(f4337,plain,
( ~ spl22_11
| spl22_358
| ~ spl22_67
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1144,f1109,f775,f4335,f490]) ).
fof(f4335,plain,
( spl22_358
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_358])]) ).
fof(f775,plain,
( spl22_67
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).
fof(f1144,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_67
| ~ spl22_114 ),
inference(resolution,[],[f1110,f776]) ).
fof(f776,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_67 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f4333,plain,
( spl22_357
| ~ spl22_67
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1084,f1062,f775,f4331]) ).
fof(f4331,plain,
( spl22_357
<=> ! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK12(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_357])]) ).
fof(f1084,plain,
( ! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK12(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_67
| ~ spl22_108 ),
inference(resolution,[],[f1063,f776]) ).
fof(f4321,plain,
( spl22_356
| ~ spl22_39
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1575,f1431,f626,f4319]) ).
fof(f4319,plain,
( spl22_356
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,xQ))
| sP3(X0,X1,xQ)
| aElementOf0(sK19(X0,X1,xQ),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_356])]) ).
fof(f1575,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,xQ))
| sP3(X0,X1,xQ)
| aElementOf0(sK19(X0,X1,xQ),xS) )
| ~ spl22_39
| ~ spl22_150 ),
inference(resolution,[],[f1432,f627]) ).
fof(f4317,plain,
( spl22_355
| ~ spl22_39
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1544,f1419,f626,f4315]) ).
fof(f4315,plain,
( spl22_355
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,xQ))
| sP2(X0,X1,xQ)
| aElementOf0(sK18(X0,X1,xQ),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_355])]) ).
fof(f1544,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,xQ))
| sP2(X0,X1,xQ)
| aElementOf0(sK18(X0,X1,xQ),xS) )
| ~ spl22_39
| ~ spl22_147 ),
inference(resolution,[],[f1420,f627]) ).
fof(f4302,plain,
( ~ spl22_24
| spl22_354
| ~ spl22_30
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1151,f1109,f583,f4299,f554]) ).
fof(f4299,plain,
( spl22_354
<=> slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_354])]) ).
fof(f583,plain,
( spl22_30
<=> aElementOf0(sK7,slbdtsldtrb0(xS,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
fof(f1151,plain,
( slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),sK7),sK7)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ spl22_30
| ~ spl22_114 ),
inference(resolution,[],[f1110,f585]) ).
fof(f585,plain,
( aElementOf0(sK7,slbdtsldtrb0(xS,xk))
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f4289,plain,
( ~ spl22_24
| spl22_353
| ~ spl22_28
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1148,f1109,f574,f4286,f554]) ).
fof(f4286,plain,
( spl22_353
<=> slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),xQ),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_353])]) ).
fof(f1148,plain,
( slbdtsldtrb0(xS,xk) = sdtpldt0(sdtmndt0(slbdtsldtrb0(xS,xk),xQ),xQ)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ spl22_28
| ~ spl22_114 ),
inference(resolution,[],[f1110,f576]) ).
fof(f4284,plain,
( spl22_351
| ~ spl22_352
| spl22_31
| ~ spl22_52
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1023,f975,f694,f588,f4281,f4277]) ).
fof(f4277,plain,
( spl22_351
<=> aSet0(szmzizndt0(slbdtsldtrb0(xS,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_351])]) ).
fof(f4281,plain,
( spl22_352
<=> aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_352])]) ).
fof(f1023,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0)
| aSet0(szmzizndt0(slbdtsldtrb0(xS,xk)))
| ~ spl22_52
| ~ spl22_100 ),
inference(resolution,[],[f976,f695]) ).
fof(f4275,plain,
( spl22_349
| ~ spl22_350
| spl22_346
| ~ spl22_48
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1010,f975,f676,f4201,f4272,f4268]) ).
fof(f676,plain,
( spl22_48
<=> ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).
fof(f1010,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSubsetOf0(sdtmndt0(xQ,xy),szNzAzT0)
| aElement0(szmzizndt0(sdtmndt0(xQ,xy)))
| ~ spl22_48
| ~ spl22_100 ),
inference(resolution,[],[f976,f677]) ).
fof(f677,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElement0(X1) )
| ~ spl22_48 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f4245,plain,
( ~ spl22_10
| spl22_286
| ~ spl22_325 ),
inference(avatar_split_clause,[],[f4224,f3908,f3349,f485]) ).
fof(f3349,plain,
( spl22_286
<=> isFinite0(slbdtsldtrb0(xT,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_286])]) ).
fof(f4224,plain,
( ~ isFinite0(slcrc0)
| spl22_286
| ~ spl22_325 ),
inference(superposition,[],[f3351,f3910]) ).
fof(f3351,plain,
( ~ isFinite0(slbdtsldtrb0(xT,xk))
| spl22_286 ),
inference(avatar_component_clause,[],[f3349]) ).
fof(f4239,plain,
( spl22_348
| ~ spl22_24
| spl22_31
| ~ spl22_65
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f910,f856,f765,f588,f554,f4236]) ).
fof(f4236,plain,
( spl22_348
<=> aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_348])]) ).
fof(f910,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSubsetOf0(sK17(slbdtsldtrb0(xS,xk)),xS)
| ~ spl22_65
| ~ spl22_81 ),
inference(resolution,[],[f857,f766]) ).
fof(f4215,plain,
( spl22_347
| ~ spl22_25
| spl22_325
| ~ spl22_64
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f907,f856,f761,f3908,f559,f4212]) ).
fof(f4212,plain,
( spl22_347
<=> aSubsetOf0(sK17(slbdtsldtrb0(xT,xk)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_347])]) ).
fof(f907,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSubsetOf0(sK17(slbdtsldtrb0(xT,xk)),xT)
| ~ spl22_64
| ~ spl22_81 ),
inference(resolution,[],[f857,f762]) ).
fof(f4204,plain,
( spl22_345
| ~ spl22_23
| spl22_346
| ~ spl22_63
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f898,f856,f757,f4201,f549,f4197]) ).
fof(f898,plain,
( slcrc0 = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy))
| aElementOf0(sK17(sdtmndt0(xQ,xy)),xQ)
| ~ spl22_63
| ~ spl22_81 ),
inference(resolution,[],[f857,f758]) ).
fof(f4187,plain,
( spl22_19
| spl22_344
| ~ spl22_16
| ~ spl22_272 ),
inference(avatar_split_clause,[],[f3131,f3121,f515,f4184,f530]) ).
fof(f530,plain,
( spl22_19
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f4184,plain,
( spl22_344
<=> aElement0(sK12(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_344])]) ).
fof(f515,plain,
( spl22_16
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f3121,plain,
( spl22_272
<=> ! [X0] :
( sz00 = X0
| aElement0(sK12(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_272])]) ).
fof(f3131,plain,
( aElement0(sK12(xk))
| sz00 = xk
| ~ spl22_16
| ~ spl22_272 ),
inference(resolution,[],[f3122,f517]) ).
fof(f517,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f3122,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK12(X0))
| sz00 = X0 )
| ~ spl22_272 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f4042,plain,
( spl22_343
| ~ spl22_38
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1559,f1431,f619,f4040]) ).
fof(f4040,plain,
( spl22_343
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sP1(sK19(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_343])]) ).
fof(f1559,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,szNzAzT0))
| sP3(X0,X1,szNzAzT0)
| sP1(sK19(X0,X1,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_150 ),
inference(resolution,[],[f1432,f620]) ).
fof(f4038,plain,
( spl22_342
| ~ spl22_38
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1528,f1419,f619,f4036]) ).
fof(f4036,plain,
( spl22_342
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sP1(sK18(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_342])]) ).
fof(f1528,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,szNzAzT0))
| sP2(X0,X1,szNzAzT0)
| sP1(sK18(X0,X1,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_147 ),
inference(resolution,[],[f1420,f620]) ).
fof(f4034,plain,
( spl22_341
| ~ spl22_54
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1518,f1415,f705,f4032]) ).
fof(f4032,plain,
( spl22_341
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_341])]) ).
fof(f1518,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK13(X0,X1)) )
| ~ spl22_54
| ~ spl22_146 ),
inference(duplicate_literal_removal,[],[f1494]) ).
fof(f1494,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),szNzAzT0)
| sP0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK13(X0,X1))
| ~ aSet0(X1) )
| ~ spl22_54
| ~ spl22_146 ),
inference(resolution,[],[f1416,f706]) ).
fof(f4030,plain,
( spl22_340
| ~ spl22_38
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1482,f1415,f619,f4028]) ).
fof(f4028,plain,
( spl22_340
<=> ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sP1(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_340])]) ).
fof(f1482,plain,
( ! [X0,X1] :
( aElementOf0(sK13(X0,X1),X1)
| sP0(X0,X1)
| ~ aSet0(X1)
| sP1(sK13(X0,X1)) )
| ~ spl22_38
| ~ spl22_146 ),
inference(resolution,[],[f1416,f620]) ).
fof(f4022,plain,
( ~ spl22_11
| spl22_339
| ~ spl22_43
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1310,f1277,f644,f4020,f490]) ).
fof(f4020,plain,
( spl22_339
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sdtlseqdt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_339])]) ).
fof(f1310,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sdtlseqdt0(sz00,X0) )
| ~ spl22_43
| ~ spl22_131 ),
inference(resolution,[],[f1278,f645]) ).
fof(f4010,plain,
( ~ spl22_11
| spl22_338
| ~ spl22_41
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1309,f1277,f635,f4008,f490]) ).
fof(f4008,plain,
( spl22_338
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_338])]) ).
fof(f1309,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sdtlseqdt0(X0,X0) )
| ~ spl22_41
| ~ spl22_131 ),
inference(resolution,[],[f1278,f636]) ).
fof(f4004,plain,
( ~ spl22_11
| spl22_337
| ~ spl22_40
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1308,f1277,f631,f4002,f490]) ).
fof(f4002,plain,
( spl22_337
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| isFinite0(slbdtrb0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_337])]) ).
fof(f1308,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl22_40
| ~ spl22_131 ),
inference(resolution,[],[f1278,f632]) ).
fof(f4000,plain,
( spl22_336
| ~ spl22_101
| ~ spl22_119 ),
inference(avatar_split_clause,[],[f1189,f1129,f979,f3998]) ).
fof(f3998,plain,
( spl22_336
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_336])]) ).
fof(f1129,plain,
( spl22_119
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_119])]) ).
fof(f1189,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl22_101
| ~ spl22_119 ),
inference(resolution,[],[f1130,f980]) ).
fof(f1130,plain,
( ! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl22_119 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f3996,plain,
( ~ spl22_11
| spl22_335
| ~ spl22_69
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1171,f1117,f783,f3994,f490]) ).
fof(f3994,plain,
( spl22_335
<=> ! [X0,X1] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X1)
| sP5(X1,sK11(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_335])]) ).
fof(f1171,plain,
( ! [X0,X1] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP5(X1,sK11(X0,szNzAzT0))
| ~ aSet0(X1) )
| ~ spl22_69
| ~ spl22_116 ),
inference(resolution,[],[f1118,f784]) ).
fof(f3992,plain,
( spl22_334
| spl22_19
| ~ spl22_16
| ~ spl22_232 ),
inference(avatar_split_clause,[],[f2693,f2593,f515,f530,f3989]) ).
fof(f3989,plain,
( spl22_334
<=> sP1(sK12(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_334])]) ).
fof(f2593,plain,
( spl22_232
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP1(sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_232])]) ).
fof(f2693,plain,
( sz00 = xk
| sP1(sK12(xk))
| ~ spl22_16
| ~ spl22_232 ),
inference(resolution,[],[f2594,f517]) ).
fof(f2594,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP1(sK12(X0)) )
| ~ spl22_232 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f3983,plain,
( ~ spl22_11
| spl22_333
| ~ spl22_41
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1168,f1117,f635,f3981,f490]) ).
fof(f3981,plain,
( spl22_333
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sdtlseqdt0(sK11(X0,szNzAzT0),sK11(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_333])]) ).
fof(f1168,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sK11(X0,szNzAzT0),sK11(X0,szNzAzT0)) )
| ~ spl22_41
| ~ spl22_116 ),
inference(resolution,[],[f1118,f636]) ).
fof(f3979,plain,
( spl22_332
| ~ spl22_81
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1155,f1109,f856,f3977]) ).
fof(f3977,plain,
( spl22_332
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK17(X0)),sK17(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_332])]) ).
fof(f1155,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK17(X0)),sK17(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl22_81
| ~ spl22_114 ),
inference(duplicate_literal_removal,[],[f1154]) ).
fof(f1154,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK17(X0)),sK17(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl22_81
| ~ spl22_114 ),
inference(resolution,[],[f1110,f857]) ).
fof(f3946,plain,
( ~ spl22_11
| spl22_331
| ~ spl22_59
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1143,f1109,f725,f3944,f490]) ).
fof(f3944,plain,
( spl22_331
<=> ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_331])]) ).
fof(f725,plain,
( spl22_59
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_59])]) ).
fof(f1143,plain,
( ! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_59
| ~ spl22_114 ),
inference(resolution,[],[f1110,f726]) ).
fof(f726,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_59 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f3942,plain,
( spl22_330
| ~ spl22_59
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1083,f1062,f725,f3940]) ).
fof(f3940,plain,
( spl22_330
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK12(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_330])]) ).
fof(f1083,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK12(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_59
| ~ spl22_108 ),
inference(resolution,[],[f1063,f726]) ).
fof(f3938,plain,
( spl22_329
| ~ spl22_44
| ~ spl22_91 ),
inference(avatar_split_clause,[],[f988,f938,f648,f3936]) ).
fof(f3936,plain,
( spl22_329
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_329])]) ).
fof(f938,plain,
( spl22_91
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_91])]) ).
fof(f988,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl22_44
| ~ spl22_91 ),
inference(resolution,[],[f939,f649]) ).
fof(f939,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl22_91 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f3934,plain,
( spl22_328
| ~ spl22_44
| ~ spl22_90 ),
inference(avatar_split_clause,[],[f986,f934,f648,f3932]) ).
fof(f3932,plain,
( spl22_328
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_328])]) ).
fof(f934,plain,
( spl22_90
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_90])]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl22_44
| ~ spl22_90 ),
inference(resolution,[],[f935,f649]) ).
fof(f935,plain,
( ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl22_90 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f3920,plain,
( ~ spl22_5
| spl22_327
| ~ spl22_39
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1323,f1277,f626,f3918,f460]) ).
fof(f3918,plain,
( spl22_327
<=> ! [X0] :
( xQ = sdtmndt0(sdtpldt0(xQ,X0),X0)
| aElementOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_327])]) ).
fof(f1323,plain,
( ! [X0] :
( xQ = sdtmndt0(sdtpldt0(xQ,X0),X0)
| ~ aSet0(xQ)
| ~ aElement0(X0)
| aElementOf0(X0,xS) )
| ~ spl22_39
| ~ spl22_131 ),
inference(resolution,[],[f1278,f627]) ).
fof(f3916,plain,
( spl22_326
| ~ spl22_24
| spl22_31
| ~ spl22_52
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f911,f856,f694,f588,f554,f3913]) ).
fof(f3913,plain,
( spl22_326
<=> aSet0(sK17(slbdtsldtrb0(xS,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_326])]) ).
fof(f911,plain,
( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| aSet0(sK17(slbdtsldtrb0(xS,xk)))
| ~ spl22_52
| ~ spl22_81 ),
inference(resolution,[],[f857,f695]) ).
fof(f3911,plain,
( spl22_324
| ~ spl22_25
| spl22_325
| ~ spl22_50
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f908,f856,f685,f3908,f559,f3904]) ).
fof(f3904,plain,
( spl22_324
<=> aSet0(sK17(slbdtsldtrb0(xT,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_324])]) ).
fof(f908,plain,
( slcrc0 = slbdtsldtrb0(xT,xk)
| ~ aSet0(slbdtsldtrb0(xT,xk))
| aSet0(sK17(slbdtsldtrb0(xT,xk)))
| ~ spl22_50
| ~ spl22_81 ),
inference(resolution,[],[f857,f686]) ).
fof(f3844,plain,
( ~ spl22_13
| spl22_323
| ~ spl22_21
| ~ spl22_168 ),
inference(avatar_split_clause,[],[f1896,f1890,f540,f3842,f500]) ).
fof(f3842,plain,
( spl22_323
<=> ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,slcrc0)) = X0
| sP4(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_323])]) ).
fof(f1896,plain,
( ! [X0,X1] :
( sbrdtbr0(sK21(X0,X1,slcrc0)) = X0
| sP4(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl22_21
| ~ spl22_168 ),
inference(resolution,[],[f1891,f541]) ).
fof(f3820,plain,
( spl22_322
| ~ spl22_105
| ~ spl22_185 ),
inference(avatar_split_clause,[],[f2174,f2139,f1039,f3818]) ).
fof(f3818,plain,
( spl22_322
<=> ! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_322])]) ).
fof(f2174,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xT) )
| ~ spl22_105
| ~ spl22_185 ),
inference(resolution,[],[f2141,f1040]) ).
fof(f3816,plain,
( ~ spl22_13
| ~ spl22_10
| spl22_321
| ~ spl22_21
| ~ spl22_46
| ~ spl22_161 ),
inference(avatar_split_clause,[],[f1762,f1718,f656,f540,f3814,f485,f500]) ).
fof(f3814,plain,
( spl22_321
<=> ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_321])]) ).
fof(f1762,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sz00)
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl22_21
| ~ spl22_46
| ~ spl22_161 ),
inference(forward_demodulation,[],[f1728,f658]) ).
fof(f1728,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sbrdtbr0(slcrc0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl22_21
| ~ spl22_161 ),
inference(resolution,[],[f1719,f541]) ).
fof(f3809,plain,
( ~ spl22_20
| spl22_320
| ~ spl22_26
| ~ spl22_136 ),
inference(avatar_split_clause,[],[f1365,f1297,f564,f3807,f535]) ).
fof(f535,plain,
( spl22_20
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f3807,plain,
( spl22_320
<=> ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_320])]) ).
fof(f564,plain,
( spl22_26
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
fof(f1365,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_26
| ~ spl22_136 ),
inference(superposition,[],[f1298,f566]) ).
fof(f566,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f3799,plain,
( ~ spl22_20
| spl22_319
| ~ spl22_26
| ~ spl22_135 ),
inference(avatar_split_clause,[],[f1360,f1293,f564,f3797,f535]) ).
fof(f3797,plain,
( spl22_319
<=> ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_319])]) ).
fof(f1360,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_26
| ~ spl22_135 ),
inference(superposition,[],[f1294,f566]) ).
fof(f3789,plain,
( ~ spl22_20
| spl22_318
| ~ spl22_26
| ~ spl22_135 ),
inference(avatar_split_clause,[],[f1359,f1293,f564,f3787,f535]) ).
fof(f3787,plain,
( spl22_318
<=> ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_318])]) ).
fof(f1359,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl22_26
| ~ spl22_135 ),
inference(superposition,[],[f1294,f566]) ).
fof(f3765,plain,
( ~ spl22_11
| spl22_317
| ~ spl22_38
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1307,f1277,f619,f3763,f490]) ).
fof(f3763,plain,
( spl22_317
<=> ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| sP1(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_317])]) ).
fof(f1307,plain,
( ! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sP1(X0) )
| ~ spl22_38
| ~ spl22_131 ),
inference(resolution,[],[f1278,f620]) ).
fof(f3761,plain,
( spl22_316
| ~ spl22_54
| ~ spl22_121 ),
inference(avatar_split_clause,[],[f1193,f1137,f705,f3759]) ).
fof(f3759,plain,
( spl22_316
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_316])]) ).
fof(f1193,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) )
| ~ spl22_54
| ~ spl22_121 ),
inference(resolution,[],[f1138,f706]) ).
fof(f3757,plain,
( spl22_315
| ~ spl22_105
| ~ spl22_184 ),
inference(avatar_split_clause,[],[f2167,f2134,f1039,f3755]) ).
fof(f2167,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT) )
| ~ spl22_105
| ~ spl22_184 ),
inference(resolution,[],[f2136,f1040]) ).
fof(f3753,plain,
( spl22_314
| ~ spl22_86
| ~ spl22_111 ),
inference(avatar_split_clause,[],[f1091,f1074,f877,f3751]) ).
fof(f3751,plain,
( spl22_314
<=> ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP5(X1,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_314])]) ).
fof(f877,plain,
( spl22_86
<=> ! [X0,X1] :
( sP4(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_86])]) ).
fof(f1091,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP5(X1,sbrdtbr0(X0)) )
| ~ spl22_86
| ~ spl22_111 ),
inference(resolution,[],[f1075,f878]) ).
fof(f878,plain,
( ! [X0,X1] :
( sP4(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl22_86 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f3716,plain,
( spl22_313
| ~ spl22_237
| spl22_209
| ~ spl22_68
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1012,f975,f779,f2397,f2618,f3713]) ).
fof(f3713,plain,
( spl22_313
<=> szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_313])]) ).
fof(f1012,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| szmzizndt0(szNzAzT0) = sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_68
| ~ spl22_100 ),
inference(resolution,[],[f976,f780]) ).
fof(f3711,plain,
( spl22_312
| ~ spl22_68
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f996,f955,f779,f3709]) ).
fof(f3709,plain,
( spl22_312
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK12(X0) = sbrdtbr0(slbdtrb0(sK12(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_312])]) ).
fof(f996,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK12(X0) = sbrdtbr0(slbdtrb0(sK12(X0))) )
| ~ spl22_68
| ~ spl22_95 ),
inference(resolution,[],[f956,f780]) ).
fof(f3681,plain,
( ~ spl22_5
| ~ spl22_6
| ~ spl22_32
| spl22_311
| spl22_14
| ~ spl22_22
| ~ spl22_161 ),
inference(avatar_split_clause,[],[f1884,f1718,f544,f505,f3678,f593,f465,f460]) ).
fof(f3678,plain,
( spl22_311
<=> sbrdtbr0(sdtpldt0(xQ,xx)) = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_311])]) ).
fof(f1884,plain,
( sbrdtbr0(sdtpldt0(xQ,xx)) = szszuzczcdt0(xk)
| ~ aElement0(xx)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl22_14
| ~ spl22_22
| ~ spl22_161 ),
inference(forward_demodulation,[],[f1751,f546]) ).
fof(f1751,plain,
( szszuzczcdt0(sbrdtbr0(xQ)) = sbrdtbr0(sdtpldt0(xQ,xx))
| ~ aElement0(xx)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl22_14
| ~ spl22_161 ),
inference(resolution,[],[f1719,f507]) ).
fof(f3676,plain,
( spl22_310
| ~ spl22_48
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1578,f1431,f676,f3674]) ).
fof(f3674,plain,
( spl22_310
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,sdtmndt0(xQ,xy)))
| sP3(X0,X1,sdtmndt0(xQ,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_310])]) ).
fof(f1578,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,sdtmndt0(xQ,xy)))
| sP3(X0,X1,sdtmndt0(xQ,xy)) )
| ~ spl22_48
| ~ spl22_150 ),
inference(duplicate_literal_removal,[],[f1558]) ).
fof(f1558,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,sdtmndt0(xQ,xy)))
| sP3(X0,X1,sdtmndt0(xQ,xy))
| aElement0(sK19(X0,X1,sdtmndt0(xQ,xy))) )
| ~ spl22_48
| ~ spl22_150 ),
inference(resolution,[],[f1432,f677]) ).
fof(f3672,plain,
( spl22_309
| ~ spl22_48
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1547,f1419,f676,f3670]) ).
fof(f3670,plain,
( spl22_309
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,sdtmndt0(xQ,xy)))
| sP2(X0,X1,sdtmndt0(xQ,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_309])]) ).
fof(f1547,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,sdtmndt0(xQ,xy)))
| sP2(X0,X1,sdtmndt0(xQ,xy)) )
| ~ spl22_48
| ~ spl22_147 ),
inference(duplicate_literal_removal,[],[f1527]) ).
fof(f1527,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,sdtmndt0(xQ,xy)))
| sP2(X0,X1,sdtmndt0(xQ,xy))
| aElement0(sK18(X0,X1,sdtmndt0(xQ,xy))) )
| ~ spl22_48
| ~ spl22_147 ),
inference(resolution,[],[f1420,f677]) ).
fof(f3526,plain,
( spl22_308
| ~ spl22_212
| ~ spl22_307 ),
inference(avatar_split_clause,[],[f3522,f3518,f2436,f3524]) ).
fof(f3524,plain,
( spl22_308
<=> ! [X0,X1] :
( sP4(X0,X1,xQ)
| aSubsetOf0(sK21(X0,X1,xQ),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_308])]) ).
fof(f2436,plain,
( spl22_212
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl22_212])]) ).
fof(f3518,plain,
( spl22_307
<=> ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,slcrc0),X1)
| sP4(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_307])]) ).
fof(f3522,plain,
( ! [X0,X1] :
( sP4(X0,X1,xQ)
| aSubsetOf0(sK21(X0,X1,xQ),X1) )
| ~ spl22_212
| ~ spl22_307 ),
inference(forward_demodulation,[],[f3521,f2438]) ).
fof(f2438,plain,
( slcrc0 = xQ
| ~ spl22_212 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f3521,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,xQ),X1)
| sP4(X0,X1,slcrc0) )
| ~ spl22_212
| ~ spl22_307 ),
inference(forward_demodulation,[],[f3519,f2438]) ).
fof(f3519,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,slcrc0),X1)
| sP4(X0,X1,slcrc0) )
| ~ spl22_307 ),
inference(avatar_component_clause,[],[f3518]) ).
fof(f3520,plain,
( ~ spl22_13
| spl22_307
| ~ spl22_21
| ~ spl22_165 ),
inference(avatar_split_clause,[],[f1826,f1780,f540,f3518,f500]) ).
fof(f1826,plain,
( ! [X0,X1] :
( aSubsetOf0(sK21(X0,X1,slcrc0),X1)
| sP4(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl22_21
| ~ spl22_165 ),
inference(resolution,[],[f1781,f541]) ).
fof(f3514,plain,
( ~ spl22_11
| spl22_306
| ~ spl22_43
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1169,f1117,f644,f3512,f490]) ).
fof(f3512,plain,
( spl22_306
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sdtlseqdt0(sz00,sK11(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_306])]) ).
fof(f1169,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sK11(X0,szNzAzT0)) )
| ~ spl22_43
| ~ spl22_116 ),
inference(resolution,[],[f1118,f645]) ).
fof(f3509,plain,
( ~ spl22_11
| spl22_305
| ~ spl22_40
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1167,f1117,f631,f3507,f490]) ).
fof(f3507,plain,
( spl22_305
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| isFinite0(slbdtrb0(sK11(X0,szNzAzT0)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_305])]) ).
fof(f1167,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sK11(X0,szNzAzT0))) )
| ~ spl22_40
| ~ spl22_116 ),
inference(resolution,[],[f1118,f632]) ).
fof(f3505,plain,
( spl22_304
| ~ spl22_86
| ~ spl22_110 ),
inference(avatar_split_clause,[],[f1090,f1070,f877,f3503]) ).
fof(f3503,plain,
( spl22_304
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP5(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_304])]) ).
fof(f1070,plain,
( spl22_110
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_110])]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP5(X1,X2) )
| ~ spl22_86
| ~ spl22_110 ),
inference(resolution,[],[f1071,f878]) ).
fof(f1071,plain,
( ! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 )
| ~ spl22_110 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f3501,plain,
( spl22_303
| ~ spl22_98
| ~ spl22_102 ),
inference(avatar_split_clause,[],[f1030,f983,f967,f3499]) ).
fof(f3499,plain,
( spl22_303
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_303])]) ).
fof(f967,plain,
( spl22_98
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_98])]) ).
fof(f1030,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl22_98
| ~ spl22_102 ),
inference(resolution,[],[f984,f968]) ).
fof(f968,plain,
( ! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl22_98 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f3497,plain,
( ~ spl22_302
| spl22_27
| ~ spl22_212 ),
inference(avatar_split_clause,[],[f3415,f2436,f569,f3494]) ).
fof(f3494,plain,
( spl22_302
<=> isCountable0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_302])]) ).
fof(f569,plain,
( spl22_27
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
fof(f3415,plain,
( ~ isCountable0(xQ)
| spl22_27
| ~ spl22_212 ),
inference(superposition,[],[f571,f2438]) ).
fof(f571,plain,
( ~ isCountable0(slcrc0)
| spl22_27 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f3492,plain,
( spl22_301
| ~ spl22_237
| spl22_209
| ~ spl22_69
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1011,f975,f783,f2397,f2618,f3490]) ).
fof(f3490,plain,
( spl22_301
<=> ! [X0] :
( sP5(X0,szmzizndt0(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_301])]) ).
fof(f1011,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(X0,szmzizndt0(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl22_69
| ~ spl22_100 ),
inference(resolution,[],[f976,f784]) ).
fof(f3488,plain,
( spl22_300
| ~ spl22_69
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f995,f955,f783,f3486]) ).
fof(f3486,plain,
( spl22_300
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP5(X1,sK12(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_300])]) ).
fof(f995,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP5(X1,sK12(X0))
| ~ aSet0(X1) )
| ~ spl22_69
| ~ spl22_95 ),
inference(resolution,[],[f956,f784]) ).
fof(f3448,plain,
( spl22_299
| ~ spl22_11
| spl22_209
| ~ spl22_68
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f901,f856,f779,f2397,f490,f3445]) ).
fof(f3445,plain,
( spl22_299
<=> sK17(szNzAzT0) = sbrdtbr0(slbdtrb0(sK17(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_299])]) ).
fof(f901,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sK17(szNzAzT0) = sbrdtbr0(slbdtrb0(sK17(szNzAzT0)))
| ~ spl22_68
| ~ spl22_81 ),
inference(resolution,[],[f857,f780]) ).
fof(f3443,plain,
( spl22_298
| ~ spl22_68
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f890,f852,f779,f3441]) ).
fof(f3441,plain,
( spl22_298
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK15(X0) = sbrdtbr0(slbdtrb0(sK15(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_298])]) ).
fof(f890,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK15(X0) = sbrdtbr0(slbdtrb0(sK15(X0))) )
| ~ spl22_68
| ~ spl22_80 ),
inference(resolution,[],[f853,f780]) ).
fof(f3430,plain,
( ~ spl22_5
| ~ spl22_7
| spl22_297
| ~ spl22_18
| ~ spl22_154 ),
inference(avatar_split_clause,[],[f1602,f1447,f525,f3428,f470,f460]) ).
fof(f3428,plain,
( spl22_297
<=> ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_297])]) ).
fof(f525,plain,
( spl22_18
<=> aSubsetOf0(xQ,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f1602,plain,
( ! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSubsetOf0(X0,xQ)
| ~ aSet0(xS)
| ~ aSet0(xQ)
| ~ aSet0(X0) )
| ~ spl22_18
| ~ spl22_154 ),
inference(resolution,[],[f1448,f527]) ).
fof(f527,plain,
( aSubsetOf0(xQ,xS)
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f3411,plain,
( ~ spl22_7
| spl22_296
| ~ spl22_54
| ~ spl22_211 ),
inference(avatar_split_clause,[],[f2442,f2432,f705,f3408,f470]) ).
fof(f3408,plain,
( spl22_296
<=> aElement0(sK17(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_296])]) ).
fof(f2432,plain,
( spl22_211
<=> aElementOf0(sK17(xQ),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_211])]) ).
fof(f2442,plain,
( aElement0(sK17(xQ))
| ~ aSet0(xS)
| ~ spl22_54
| ~ spl22_211 ),
inference(resolution,[],[f2434,f706]) ).
fof(f2434,plain,
( aElementOf0(sK17(xQ),xS)
| ~ spl22_211 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f3406,plain,
( ~ spl22_7
| ~ spl22_294
| spl22_295
| ~ spl22_15
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1468,f1411,f510,f3403,f3399,f470]) ).
fof(f3399,plain,
( spl22_294
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_294])]) ).
fof(f3403,plain,
( spl22_295
<=> sbrdtbr0(xS) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_295])]) ).
fof(f1468,plain,
( sbrdtbr0(xS) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))
| ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl22_15
| ~ spl22_145 ),
inference(resolution,[],[f1412,f512]) ).
fof(f3392,plain,
( ~ spl22_5
| spl22_293
| ~ spl22_39
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1182,f1117,f626,f3390,f460]) ).
fof(f3390,plain,
( spl22_293
<=> ! [X0] :
( aSubsetOf0(xQ,X0)
| aElementOf0(sK11(X0,xQ),xS)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_293])]) ).
fof(f1182,plain,
( ! [X0] :
( aSubsetOf0(xQ,X0)
| ~ aSet0(xQ)
| ~ aSet0(X0)
| aElementOf0(sK11(X0,xQ),xS) )
| ~ spl22_39
| ~ spl22_116 ),
inference(resolution,[],[f1118,f627]) ).
fof(f3383,plain,
( ~ spl22_23
| ~ spl22_32
| spl22_292
| ~ spl22_49
| ~ spl22_101 ),
inference(avatar_split_clause,[],[f1028,f979,f680,f3380,f593,f549]) ).
fof(f1028,plain,
( sP2(xx,sdtmndt0(xQ,xy),xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl22_49
| ~ spl22_101 ),
inference(superposition,[],[f980,f682]) ).
fof(f3377,plain,
( ~ spl22_32
| ~ spl22_23
| ~ spl22_290
| spl22_291
| ~ spl22_49
| ~ spl22_92 ),
inference(avatar_split_clause,[],[f994,f942,f680,f3374,f3370,f549,f593]) ).
fof(f942,plain,
( spl22_92
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_92])]) ).
fof(f994,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ spl22_49
| ~ spl22_92 ),
inference(superposition,[],[f943,f682]) ).
fof(f943,plain,
( ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl22_92 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f3367,plain,
( ~ spl22_32
| ~ spl22_23
| ~ spl22_288
| spl22_289
| ~ spl22_49
| ~ spl22_90 ),
inference(avatar_split_clause,[],[f987,f934,f680,f3364,f3360,f549,f593]) ).
fof(f3360,plain,
( spl22_288
<=> isCountable0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_288])]) ).
fof(f3364,plain,
( spl22_289
<=> isCountable0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_289])]) ).
fof(f987,plain,
( isCountable0(xP)
| ~ isCountable0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ spl22_49
| ~ spl22_90 ),
inference(superposition,[],[f935,f682]) ).
fof(f3356,plain,
( ~ spl22_25
| ~ spl22_286
| spl22_287
| ~ spl22_51
| ~ spl22_79 ),
inference(avatar_split_clause,[],[f887,f848,f689,f3353,f3349,f559]) ).
fof(f887,plain,
( isFinite0(slbdtsldtrb0(xS,xk))
| ~ isFinite0(slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ spl22_51
| ~ spl22_79 ),
inference(resolution,[],[f849,f691]) ).
fof(f3229,plain,
( spl22_285
| ~ spl22_54
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1579,f1431,f705,f3227]) ).
fof(f3227,plain,
( spl22_285
<=> ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,X2))
| sP3(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_285])]) ).
fof(f1579,plain,
( ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,X2))
| sP3(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl22_54
| ~ spl22_150 ),
inference(duplicate_literal_removal,[],[f1554]) ).
fof(f1554,plain,
( ! [X2,X0,X1] :
( aElement0(sK19(X0,X1,X2))
| sP3(X0,X1,X2)
| aElement0(sK19(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl22_54
| ~ spl22_150 ),
inference(resolution,[],[f1432,f706]) ).
fof(f3225,plain,
( spl22_284
| ~ spl22_54
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1548,f1419,f705,f3223]) ).
fof(f3223,plain,
( spl22_284
<=> ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_284])]) ).
fof(f1548,plain,
( ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl22_54
| ~ spl22_147 ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1523,plain,
( ! [X2,X0,X1] :
( aElement0(sK18(X0,X1,X2))
| sP2(X0,X1,X2)
| aElement0(sK18(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl22_54
| ~ spl22_147 ),
inference(resolution,[],[f1420,f706]) ).
fof(f3207,plain,
( ~ spl22_13
| spl22_283
| ~ spl22_21
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1303,f1277,f540,f3205,f500]) ).
fof(f3205,plain,
( spl22_283
<=> ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_283])]) ).
fof(f1303,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) )
| ~ spl22_21
| ~ spl22_131 ),
inference(resolution,[],[f1278,f541]) ).
fof(f3203,plain,
( spl22_282
| ~ spl22_21
| ~ spl22_258 ),
inference(avatar_split_clause,[],[f2907,f2829,f540,f3201]) ).
fof(f3201,plain,
( spl22_282
<=> ! [X0] : sP3(X0,slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_282])]) ).
fof(f2829,plain,
( spl22_258
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slcrc0),X1)
| sP3(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_258])]) ).
fof(f2907,plain,
( ! [X0] : sP3(X0,slcrc0,slcrc0)
| ~ spl22_21
| ~ spl22_258 ),
inference(resolution,[],[f2830,f541]) ).
fof(f2830,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slcrc0),X1)
| sP3(X0,X1,slcrc0) )
| ~ spl22_258 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f3199,plain,
( spl22_281
| ~ spl22_54
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1184,f1117,f705,f3197]) ).
fof(f3197,plain,
( spl22_281
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK11(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_281])]) ).
fof(f1184,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK11(X1,X0)) )
| ~ spl22_54
| ~ spl22_116 ),
inference(duplicate_literal_removal,[],[f1161]) ).
fof(f1161,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK11(X1,X0))
| ~ aSet0(X0) )
| ~ spl22_54
| ~ spl22_116 ),
inference(resolution,[],[f1118,f706]) ).
fof(f3195,plain,
( ~ spl22_11
| spl22_280
| ~ spl22_38
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1166,f1117,f619,f3193,f490]) ).
fof(f3193,plain,
( spl22_280
<=> ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| sP1(sK11(X0,szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_280])]) ).
fof(f1166,plain,
( ! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP1(sK11(X0,szNzAzT0)) )
| ~ spl22_38
| ~ spl22_116 ),
inference(resolution,[],[f1118,f620]) ).
fof(f3185,plain,
( ~ spl22_13
| ~ spl22_10
| spl22_279
| ~ spl22_46
| ~ spl22_115 ),
inference(avatar_split_clause,[],[f1159,f1113,f656,f3183,f485,f500]) ).
fof(f1159,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl22_46
| ~ spl22_115 ),
inference(superposition,[],[f1114,f658]) ).
fof(f3181,plain,
( spl22_278
| ~ spl22_83
| ~ spl22_102 ),
inference(avatar_split_clause,[],[f1031,f983,f864,f3179]) ).
fof(f3179,plain,
( spl22_278
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_278])]) ).
fof(f864,plain,
( spl22_83
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_83])]) ).
fof(f1031,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) )
| ~ spl22_83
| ~ spl22_102 ),
inference(resolution,[],[f984,f865]) ).
fof(f865,plain,
( ! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl22_83 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f3177,plain,
( spl22_277
| ~ spl22_82
| ~ spl22_101 ),
inference(avatar_split_clause,[],[f1027,f979,f860,f3175]) ).
fof(f3175,plain,
( spl22_277
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_277])]) ).
fof(f860,plain,
( spl22_82
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_82])]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) )
| ~ spl22_82
| ~ spl22_101 ),
inference(resolution,[],[f980,f861]) ).
fof(f861,plain,
( ! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl22_82 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f3169,plain,
( spl22_276
| ~ spl22_237
| spl22_209
| ~ spl22_41
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1014,f975,f635,f2397,f2618,f3166]) ).
fof(f3166,plain,
( spl22_276
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_276])]) ).
fof(f1014,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(szmzizndt0(szNzAzT0),szmzizndt0(szNzAzT0))
| ~ spl22_41
| ~ spl22_100 ),
inference(resolution,[],[f976,f636]) ).
fof(f3164,plain,
( spl22_275
| ~ spl22_54
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1006,f975,f705,f3162]) ).
fof(f3162,plain,
( spl22_275
<=> ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_275])]) ).
fof(f1006,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) )
| ~ spl22_54
| ~ spl22_100 ),
inference(resolution,[],[f976,f706]) ).
fof(f3160,plain,
( spl22_274
| ~ spl22_86
| ~ spl22_99 ),
inference(avatar_split_clause,[],[f1005,f971,f877,f3158]) ).
fof(f3158,plain,
( spl22_274
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP5(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_274])]) ).
fof(f971,plain,
( spl22_99
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_99])]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP5(X1,X2) )
| ~ spl22_86
| ~ spl22_99 ),
inference(resolution,[],[f972,f878]) ).
fof(f972,plain,
( ! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) )
| ~ spl22_99 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f3156,plain,
( spl22_273
| ~ spl22_55
| ~ spl22_97 ),
inference(avatar_split_clause,[],[f1004,f963,f709,f3154]) ).
fof(f3154,plain,
( spl22_273
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK15(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_273])]) ).
fof(f1004,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK15(X0))) )
| ~ spl22_55
| ~ spl22_97 ),
inference(resolution,[],[f964,f710]) ).
fof(f3123,plain,
( ~ spl22_11
| spl22_272
| ~ spl22_54
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f1001,f955,f705,f3121,f490]) ).
fof(f1001,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK12(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl22_54
| ~ spl22_95 ),
inference(resolution,[],[f956,f706]) ).
fof(f3119,plain,
( spl22_271
| ~ spl22_41
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f998,f955,f635,f3117]) ).
fof(f3117,plain,
( spl22_271
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK12(X0),sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_271])]) ).
fof(f998,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK12(X0),sK12(X0)) )
| ~ spl22_41
| ~ spl22_95 ),
inference(resolution,[],[f956,f636]) ).
fof(f3115,plain,
( spl22_270
| ~ spl22_11
| spl22_209
| ~ spl22_69
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f900,f856,f783,f2397,f490,f3113]) ).
fof(f3113,plain,
( spl22_270
<=> ! [X0] :
( sP5(X0,sK17(szNzAzT0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_270])]) ).
fof(f900,plain,
( ! [X0] :
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP5(X0,sK17(szNzAzT0))
| ~ aSet0(X0) )
| ~ spl22_69
| ~ spl22_81 ),
inference(resolution,[],[f857,f784]) ).
fof(f3111,plain,
( spl22_269
| ~ spl22_69
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f889,f852,f783,f3109]) ).
fof(f3109,plain,
( spl22_269
<=> ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP5(X1,sK15(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_269])]) ).
fof(f889,plain,
( ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP5(X1,sK15(X0))
| ~ aSet0(X1) )
| ~ spl22_69
| ~ spl22_80 ),
inference(resolution,[],[f853,f784]) ).
fof(f3107,plain,
( spl22_268
| ~ spl22_67
| ~ spl22_68 ),
inference(avatar_split_clause,[],[f811,f779,f775,f3105]) ).
fof(f3105,plain,
( spl22_268
<=> ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_268])]) ).
fof(f811,plain,
( ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_67
| ~ spl22_68 ),
inference(resolution,[],[f780,f776]) ).
fof(f3048,plain,
( ~ spl22_5
| ~ spl22_6
| spl22_267
| ~ spl22_17
| ~ spl22_22
| ~ spl22_145 ),
inference(avatar_split_clause,[],[f1481,f1411,f544,f520,f3045,f465,f460]) ).
fof(f1481,plain,
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl22_17
| ~ spl22_22
| ~ spl22_145 ),
inference(forward_demodulation,[],[f1470,f546]) ).
fof(f1470,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl22_17
| ~ spl22_145 ),
inference(resolution,[],[f1412,f522]) ).
fof(f3038,plain,
( ~ spl22_32
| ~ spl22_5
| spl22_266
| spl22_14
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1326,f1277,f505,f3035,f460,f593]) ).
fof(f3035,plain,
( spl22_266
<=> xQ = sdtmndt0(sdtpldt0(xQ,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_266])]) ).
fof(f1326,plain,
( xQ = sdtmndt0(sdtpldt0(xQ,xx),xx)
| ~ aSet0(xQ)
| ~ aElement0(xx)
| spl22_14
| ~ spl22_131 ),
inference(resolution,[],[f1278,f507]) ).
fof(f3033,plain,
( spl22_265
| ~ spl22_88
| ~ spl22_122 ),
inference(avatar_split_clause,[],[f1227,f1217,f922,f3031]) ).
fof(f3031,plain,
( spl22_265
<=> ! [X0] :
( xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0)
| aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_265])]) ).
fof(f1227,plain,
( ! [X0] :
( xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0)
| aElementOf0(X0,xP) )
| ~ spl22_88
| ~ spl22_122 ),
inference(duplicate_literal_removal,[],[f1220]) ).
fof(f1220,plain,
( ! [X0] :
( xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0)
| aElementOf0(X0,xP)
| ~ aElement0(X0) )
| ~ spl22_88
| ~ spl22_122 ),
inference(resolution,[],[f1218,f923]) ).
fof(f3023,plain,
( ~ spl22_5
| ~ spl22_6
| spl22_264
| ~ spl22_22
| ~ spl22_115 ),
inference(avatar_split_clause,[],[f1158,f1113,f544,f3021,f465,f460]) ).
fof(f3021,plain,
( spl22_264
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_264])]) ).
fof(f1158,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) )
| ~ spl22_22
| ~ spl22_115 ),
inference(superposition,[],[f1114,f546]) ).
fof(f3019,plain,
( spl22_263
| ~ spl22_22
| ~ spl22_115 ),
inference(avatar_split_clause,[],[f1156,f1113,f544,f3017]) ).
fof(f3017,plain,
( spl22_263
<=> ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_263])]) ).
fof(f1156,plain,
( ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl22_22
| ~ spl22_115 ),
inference(superposition,[],[f1114,f546]) ).
fof(f2979,plain,
( spl22_262
| ~ spl22_20
| ~ spl22_204 ),
inference(avatar_split_clause,[],[f2357,f2352,f535,f2976]) ).
fof(f2976,plain,
( spl22_262
<=> aElement0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_262])]) ).
fof(f2352,plain,
( spl22_204
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_204])]) ).
fof(f2357,plain,
( aElement0(szszuzczcdt0(sz00))
| ~ spl22_20
| ~ spl22_204 ),
inference(resolution,[],[f2353,f537]) ).
fof(f537,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f2353,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) )
| ~ spl22_204 ),
inference(avatar_component_clause,[],[f2352]) ).
fof(f2844,plain,
( spl22_261
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1706,f1617,f2842]) ).
fof(f2842,plain,
( spl22_261
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,X1,X1),X1)
| sP3(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_261])]) ).
fof(f1706,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,X1),X1)
| sP3(X0,X1,X1) )
| ~ spl22_159 ),
inference(factoring,[],[f1618]) ).
fof(f2840,plain,
( spl22_260
| ~ spl22_20
| ~ spl22_195 ),
inference(avatar_split_clause,[],[f2259,f2249,f535,f2837]) ).
fof(f2837,plain,
( spl22_260
<=> sP1(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_260])]) ).
fof(f2249,plain,
( spl22_195
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP1(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_195])]) ).
fof(f2259,plain,
( sP1(szszuzczcdt0(sz00))
| ~ spl22_20
| ~ spl22_195 ),
inference(resolution,[],[f2250,f537]) ).
fof(f2250,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP1(szszuzczcdt0(X0)) )
| ~ spl22_195 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f2835,plain,
( spl22_259
| ~ spl22_21
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1684,f1617,f540,f2833]) ).
fof(f2833,plain,
( spl22_259
<=> ! [X0,X1] :
( aElementOf0(sK19(X0,slcrc0,X1),X1)
| sP3(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_259])]) ).
fof(f1684,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,slcrc0,X1),X1)
| sP3(X0,slcrc0,X1) )
| ~ spl22_21
| ~ spl22_159 ),
inference(resolution,[],[f1618,f541]) ).
fof(f2831,plain,
( spl22_258
| ~ spl22_21
| ~ spl22_159 ),
inference(avatar_split_clause,[],[f1659,f1617,f540,f2829]) ).
fof(f1659,plain,
( ! [X0,X1] :
( aElementOf0(sK19(X0,X1,slcrc0),X1)
| sP3(X0,X1,slcrc0) )
| ~ spl22_21
| ~ spl22_159 ),
inference(resolution,[],[f1618,f541]) ).
fof(f2814,plain,
( ~ spl22_11
| spl22_257
| ~ spl22_146 ),
inference(avatar_split_clause,[],[f1517,f1415,f2812,f490]) ).
fof(f2812,plain,
( spl22_257
<=> ! [X0] :
( aElementOf0(sK13(X0,szNzAzT0),szNzAzT0)
| sP0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_257])]) ).
fof(f1517,plain,
( ! [X0] :
( aElementOf0(sK13(X0,szNzAzT0),szNzAzT0)
| sP0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl22_146 ),
inference(factoring,[],[f1416]) ).
fof(f2810,plain,
( spl22_256
| ~ spl22_46
| ~ spl22_111 ),
inference(avatar_split_clause,[],[f1093,f1074,f656,f2808]) ).
fof(f2808,plain,
( spl22_256
<=> ! [X0,X1] :
( ~ sP4(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_256])]) ).
fof(f1093,plain,
( ! [X0,X1] :
( ~ sP4(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl22_46
| ~ spl22_111 ),
inference(superposition,[],[f1075,f658]) ).
fof(f2806,plain,
( spl22_255
| ~ spl22_237
| spl22_209
| ~ spl22_40
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1015,f975,f631,f2397,f2618,f2803]) ).
fof(f2803,plain,
( spl22_255
<=> isFinite0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_255])]) ).
fof(f1015,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| isFinite0(slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ spl22_40
| ~ spl22_100 ),
inference(resolution,[],[f976,f632]) ).
fof(f2799,plain,
( spl22_254
| ~ spl22_237
| spl22_209
| ~ spl22_43
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1013,f975,f644,f2397,f2618,f2796]) ).
fof(f2796,plain,
( spl22_254
<=> sdtlseqdt0(sz00,szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_254])]) ).
fof(f1013,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sdtlseqdt0(sz00,szmzizndt0(szNzAzT0))
| ~ spl22_43
| ~ spl22_100 ),
inference(resolution,[],[f976,f645]) ).
fof(f2794,plain,
( spl22_253
| ~ spl22_47
| ~ spl22_96 ),
inference(avatar_split_clause,[],[f1002,f959,f662,f2792]) ).
fof(f2792,plain,
( spl22_253
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_253])]) ).
fof(f662,plain,
( spl22_47
<=> ! [X0] :
( sP0(X0,slbdtrb0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_47])]) ).
fof(f959,plain,
( spl22_96
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_96])]) ).
fof(f1002,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP1(X1) )
| ~ spl22_47
| ~ spl22_96 ),
inference(resolution,[],[f960,f663]) ).
fof(f663,plain,
( ! [X0] :
( sP0(X0,slbdtrb0(X0))
| ~ sP1(X0) )
| ~ spl22_47 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f960,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ spl22_96 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f2790,plain,
( spl22_252
| ~ spl22_40
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f999,f955,f631,f2788]) ).
fof(f2788,plain,
( spl22_252
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK12(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_252])]) ).
fof(f999,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK12(X0))) )
| ~ spl22_40
| ~ spl22_95 ),
inference(resolution,[],[f956,f632]) ).
fof(f2786,plain,
( spl22_251
| ~ spl22_43
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f997,f955,f644,f2784]) ).
fof(f2784,plain,
( spl22_251
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_251])]) ).
fof(f997,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK12(X0)) )
| ~ spl22_43
| ~ spl22_95 ),
inference(resolution,[],[f956,f645]) ).
fof(f2778,plain,
( spl22_250
| ~ spl22_11
| spl22_209
| ~ spl22_41
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f903,f856,f635,f2397,f490,f2775]) ).
fof(f2775,plain,
( spl22_250
<=> sdtlseqdt0(sK17(szNzAzT0),sK17(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_250])]) ).
fof(f903,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK17(szNzAzT0),sK17(szNzAzT0))
| ~ spl22_41
| ~ spl22_81 ),
inference(resolution,[],[f857,f636]) ).
fof(f2768,plain,
( ~ spl22_11
| spl22_249
| ~ spl22_54
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f895,f852,f705,f2766,f490]) ).
fof(f895,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK15(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl22_54
| ~ spl22_80 ),
inference(resolution,[],[f853,f706]) ).
fof(f2764,plain,
( spl22_248
| ~ spl22_41
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f892,f852,f635,f2762]) ).
fof(f2762,plain,
( spl22_248
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK15(X0),sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_248])]) ).
fof(f892,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK15(X0),sK15(X0)) )
| ~ spl22_41
| ~ spl22_80 ),
inference(resolution,[],[f853,f636]) ).
fof(f2760,plain,
( spl22_247
| ~ spl22_67
| ~ spl22_69 ),
inference(avatar_split_clause,[],[f816,f783,f775,f2758]) ).
fof(f2758,plain,
( spl22_247
<=> ! [X0,X1] :
( sP5(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_247])]) ).
fof(f816,plain,
( ! [X0,X1] :
( sP5(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl22_67
| ~ spl22_69 ),
inference(resolution,[],[f784,f776]) ).
fof(f2756,plain,
( spl22_246
| ~ spl22_59
| ~ spl22_68 ),
inference(avatar_split_clause,[],[f810,f779,f725,f2754]) ).
fof(f2754,plain,
( spl22_246
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_246])]) ).
fof(f810,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl22_59
| ~ spl22_68 ),
inference(resolution,[],[f780,f726]) ).
fof(f2751,plain,
( ~ spl22_7
| ~ spl22_5
| ~ spl22_244
| spl22_245
| ~ spl22_18
| ~ spl22_125 ),
inference(avatar_split_clause,[],[f1260,f1240,f525,f2748,f2744,f460,f470]) ).
fof(f2744,plain,
( spl22_244
<=> aSubsetOf0(xS,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_244])]) ).
fof(f2748,plain,
( spl22_245
<=> xS = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl22_245])]) ).
fof(f1260,plain,
( xS = xQ
| ~ aSubsetOf0(xS,xQ)
| ~ aSet0(xQ)
| ~ aSet0(xS)
| ~ spl22_18
| ~ spl22_125 ),
inference(resolution,[],[f1241,f527]) ).
fof(f2742,plain,
( spl22_243
| ~ spl22_22
| ~ spl22_111 ),
inference(avatar_split_clause,[],[f1092,f1074,f544,f2740]) ).
fof(f2740,plain,
( spl22_243
<=> ! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_243])]) ).
fof(f1092,plain,
( ! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) )
| ~ spl22_22
| ~ spl22_111 ),
inference(superposition,[],[f1075,f546]) ).
fof(f2736,plain,
( spl22_241
| ~ spl22_242
| spl22_212
| ~ spl22_39
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1024,f975,f626,f2436,f2733,f2729]) ).
fof(f2729,plain,
( spl22_241
<=> aElementOf0(szmzizndt0(xQ),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_241])]) ).
fof(f2733,plain,
( spl22_242
<=> aSubsetOf0(xQ,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_242])]) ).
fof(f1024,plain,
( slcrc0 = xQ
| ~ aSubsetOf0(xQ,szNzAzT0)
| aElementOf0(szmzizndt0(xQ),xS)
| ~ spl22_39
| ~ spl22_100 ),
inference(resolution,[],[f976,f627]) ).
fof(f2654,plain,
( ~ spl22_11
| spl22_240
| ~ spl22_20
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1142,f1109,f535,f2651,f490]) ).
fof(f2651,plain,
( spl22_240
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_240])]) ).
fof(f1142,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl22_20
| ~ spl22_114 ),
inference(resolution,[],[f1110,f537]) ).
fof(f2641,plain,
( ~ spl22_11
| ~ spl22_36
| spl22_237 ),
inference(avatar_split_clause,[],[f2622,f2618,f611,f490]) ).
fof(f611,plain,
( spl22_36
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).
fof(f2622,plain,
( ~ aSet0(szNzAzT0)
| ~ spl22_36
| spl22_237 ),
inference(resolution,[],[f2620,f612]) ).
fof(f612,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl22_36 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f2620,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl22_237 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2630,plain,
( spl22_239
| ~ spl22_21
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1555,f1431,f540,f2628]) ).
fof(f2628,plain,
( spl22_239
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,slcrc0))
| sP3(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_239])]) ).
fof(f1555,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,slcrc0))
| sP3(X0,X1,slcrc0) )
| ~ spl22_21
| ~ spl22_150 ),
inference(resolution,[],[f1432,f541]) ).
fof(f2626,plain,
( spl22_238
| ~ spl22_21
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1524,f1419,f540,f2624]) ).
fof(f2624,plain,
( spl22_238
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,slcrc0))
| sP2(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_238])]) ).
fof(f1524,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,slcrc0))
| sP2(X0,X1,slcrc0) )
| ~ spl22_21
| ~ spl22_147 ),
inference(resolution,[],[f1420,f541]) ).
fof(f2621,plain,
( spl22_236
| ~ spl22_237
| spl22_209
| ~ spl22_38
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1016,f975,f619,f2397,f2618,f2614]) ).
fof(f2614,plain,
( spl22_236
<=> sP1(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_236])]) ).
fof(f1016,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP1(szmzizndt0(szNzAzT0))
| ~ spl22_38
| ~ spl22_100 ),
inference(resolution,[],[f976,f620]) ).
fof(f2612,plain,
( spl22_235
| ~ spl22_11
| spl22_209
| ~ spl22_40
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f904,f856,f631,f2397,f490,f2609]) ).
fof(f2609,plain,
( spl22_235
<=> isFinite0(slbdtrb0(sK17(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_235])]) ).
fof(f904,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK17(szNzAzT0)))
| ~ spl22_40
| ~ spl22_81 ),
inference(resolution,[],[f857,f632]) ).
fof(f2605,plain,
( spl22_27
| ~ spl22_12
| ~ spl22_209 ),
inference(avatar_split_clause,[],[f2568,f2397,f495,f569]) ).
fof(f495,plain,
( spl22_12
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f2568,plain,
( isCountable0(slcrc0)
| ~ spl22_12
| ~ spl22_209 ),
inference(superposition,[],[f497,f2399]) ).
fof(f2399,plain,
( slcrc0 = szNzAzT0
| ~ spl22_209 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f497,plain,
( isCountable0(szNzAzT0)
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f2604,plain,
( spl22_234
| ~ spl22_61
| ~ spl22_102 ),
inference(avatar_split_clause,[],[f1032,f983,f733,f2602]) ).
fof(f2602,plain,
( spl22_234
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_234])]) ).
fof(f733,plain,
( spl22_61
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP3(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_61])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl22_61
| ~ spl22_102 ),
inference(resolution,[],[f984,f734]) ).
fof(f734,plain,
( ! [X2,X1,X4] :
( ~ sP3(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl22_61 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f2600,plain,
( spl22_233
| ~ spl22_85
| ~ spl22_101 ),
inference(avatar_split_clause,[],[f1029,f979,f873,f2598]) ).
fof(f2598,plain,
( spl22_233
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_233])]) ).
fof(f873,plain,
( spl22_85
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP2(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_85])]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl22_85
| ~ spl22_101 ),
inference(duplicate_literal_removal,[],[f1026]) ).
fof(f1026,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl22_85
| ~ spl22_101 ),
inference(resolution,[],[f980,f874]) ).
fof(f874,plain,
( ! [X2,X1,X4] :
( ~ sP2(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl22_85 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f2595,plain,
( spl22_232
| ~ spl22_38
| ~ spl22_95 ),
inference(avatar_split_clause,[],[f1000,f955,f619,f2593]) ).
fof(f1000,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP1(sK12(X0)) )
| ~ spl22_38
| ~ spl22_95 ),
inference(resolution,[],[f956,f620]) ).
fof(f2566,plain,
( spl22_231
| ~ spl22_11
| spl22_209
| ~ spl22_43
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f902,f856,f644,f2397,f490,f2563]) ).
fof(f2563,plain,
( spl22_231
<=> sdtlseqdt0(sz00,sK17(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_231])]) ).
fof(f902,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK17(szNzAzT0))
| ~ spl22_43
| ~ spl22_81 ),
inference(resolution,[],[f857,f645]) ).
fof(f2561,plain,
( spl22_230
| ~ spl22_40
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f893,f852,f631,f2559]) ).
fof(f2559,plain,
( spl22_230
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK15(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_230])]) ).
fof(f893,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK15(X0))) )
| ~ spl22_40
| ~ spl22_80 ),
inference(resolution,[],[f853,f632]) ).
fof(f2557,plain,
( spl22_229
| ~ spl22_43
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f891,f852,f644,f2555]) ).
fof(f2555,plain,
( spl22_229
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_229])]) ).
fof(f891,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK15(X0)) )
| ~ spl22_43
| ~ spl22_80 ),
inference(resolution,[],[f853,f645]) ).
fof(f2553,plain,
( spl22_228
| ~ spl22_47
| ~ spl22_78 ),
inference(avatar_split_clause,[],[f884,f844,f662,f2551]) ).
fof(f2551,plain,
( spl22_228
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_228])]) ).
fof(f844,plain,
( spl22_78
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_78])]) ).
fof(f884,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP1(X1) )
| ~ spl22_47
| ~ spl22_78 ),
inference(resolution,[],[f845,f663]) ).
fof(f845,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) )
| ~ spl22_78 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f2549,plain,
( spl22_227
| ~ spl22_54
| ~ spl22_72 ),
inference(avatar_split_clause,[],[f819,f795,f705,f2547]) ).
fof(f2547,plain,
( spl22_227
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_227])]) ).
fof(f819,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl22_54
| ~ spl22_72 ),
inference(resolution,[],[f796,f706]) ).
fof(f2545,plain,
( spl22_226
| ~ spl22_16
| ~ spl22_204 ),
inference(avatar_split_clause,[],[f2362,f2352,f515,f2542]) ).
fof(f2542,plain,
( spl22_226
<=> aElement0(szszuzczcdt0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_226])]) ).
fof(f2362,plain,
( aElement0(szszuzczcdt0(xk))
| ~ spl22_16
| ~ spl22_204 ),
inference(resolution,[],[f2353,f517]) ).
fof(f2540,plain,
( spl22_225
| ~ spl22_59
| ~ spl22_69 ),
inference(avatar_split_clause,[],[f815,f783,f725,f2538]) ).
fof(f2538,plain,
( spl22_225
<=> ! [X0,X1] :
( sP5(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_225])]) ).
fof(f815,plain,
( ! [X0,X1] :
( sP5(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl22_59
| ~ spl22_69 ),
inference(resolution,[],[f784,f726]) ).
fof(f2536,plain,
( spl22_224
| ~ spl22_41
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f802,f775,f635,f2534]) ).
fof(f2534,plain,
( spl22_224
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_224])]) ).
fof(f802,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl22_41
| ~ spl22_67 ),
inference(resolution,[],[f776,f636]) ).
fof(f2509,plain,
( ~ spl22_9
| spl22_223
| ~ spl22_33
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1887,f1109,f597,f2506,f480]) ).
fof(f2506,plain,
( spl22_223
<=> xP = sdtpldt0(sdtmndt0(xP,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_223])]) ).
fof(f1887,plain,
( xP = sdtpldt0(sdtmndt0(xP,xx),xx)
| ~ aSet0(xP)
| ~ spl22_33
| ~ spl22_114 ),
inference(resolution,[],[f599,f1110]) ).
fof(f2504,plain,
( spl22_222
| ~ spl22_29
| ~ spl22_150 ),
inference(avatar_split_clause,[],[f1577,f1431,f579,f2502]) ).
fof(f2502,plain,
( spl22_222
<=> ! [X0,X1] :
( aElement0(sK19(X0,X1,xP))
| sP3(X0,X1,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_222])]) ).
fof(f1577,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,xP))
| sP3(X0,X1,xP) )
| ~ spl22_29
| ~ spl22_150 ),
inference(duplicate_literal_removal,[],[f1576]) ).
fof(f1576,plain,
( ! [X0,X1] :
( aElement0(sK19(X0,X1,xP))
| sP3(X0,X1,xP)
| aElement0(sK19(X0,X1,xP)) )
| ~ spl22_29
| ~ spl22_150 ),
inference(resolution,[],[f1432,f580]) ).
fof(f2500,plain,
( spl22_221
| ~ spl22_29
| ~ spl22_147 ),
inference(avatar_split_clause,[],[f1546,f1419,f579,f2498]) ).
fof(f2498,plain,
( spl22_221
<=> ! [X0,X1] :
( aElement0(sK18(X0,X1,xP))
| sP2(X0,X1,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_221])]) ).
fof(f1546,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,xP))
| sP2(X0,X1,xP) )
| ~ spl22_29
| ~ spl22_147 ),
inference(duplicate_literal_removal,[],[f1545]) ).
fof(f1545,plain,
( ! [X0,X1] :
( aElement0(sK18(X0,X1,xP))
| sP2(X0,X1,xP)
| aElement0(sK18(X0,X1,xP)) )
| ~ spl22_29
| ~ spl22_147 ),
inference(resolution,[],[f1420,f580]) ).
fof(f2492,plain,
( spl22_220
| ~ spl22_16
| ~ spl22_195 ),
inference(avatar_split_clause,[],[f2264,f2249,f515,f2489]) ).
fof(f2489,plain,
( spl22_220
<=> sP1(szszuzczcdt0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_220])]) ).
fof(f2264,plain,
( sP1(szszuzczcdt0(xk))
| ~ spl22_16
| ~ spl22_195 ),
inference(resolution,[],[f2250,f517]) ).
fof(f2487,plain,
( ~ spl22_5
| spl22_219
| ~ spl22_17
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1149,f1109,f520,f2484,f460]) ).
fof(f2484,plain,
( spl22_219
<=> xQ = sdtpldt0(sdtmndt0(xQ,xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_219])]) ).
fof(f1149,plain,
( xQ = sdtpldt0(sdtmndt0(xQ,xy),xy)
| ~ aSet0(xQ)
| ~ spl22_17
| ~ spl22_114 ),
inference(resolution,[],[f1110,f522]) ).
fof(f2478,plain,
( ~ spl22_7
| spl22_218
| ~ spl22_15
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1147,f1109,f510,f2475,f470]) ).
fof(f2475,plain,
( spl22_218
<=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_218])]) ).
fof(f1147,plain,
( xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ aSet0(xS)
| ~ spl22_15
| ~ spl22_114 ),
inference(resolution,[],[f1110,f512]) ).
fof(f2469,plain,
( ~ spl22_11
| spl22_217
| ~ spl22_16
| ~ spl22_114 ),
inference(avatar_split_clause,[],[f1146,f1109,f515,f2466,f490]) ).
fof(f2466,plain,
( spl22_217
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_217])]) ).
fof(f1146,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl22_16
| ~ spl22_114 ),
inference(resolution,[],[f1110,f517]) ).
fof(f2464,plain,
( spl22_216
| ~ spl22_63
| ~ spl22_104 ),
inference(avatar_split_clause,[],[f1047,f1035,f757,f2462]) ).
fof(f1047,plain,
( ! [X0] :
( xx = X0
| ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) )
| ~ spl22_63
| ~ spl22_104 ),
inference(resolution,[],[f1036,f758]) ).
fof(f2460,plain,
( spl22_213
| ~ spl22_214
| spl22_215
| ~ spl22_29
| ~ spl22_100 ),
inference(avatar_split_clause,[],[f1025,f975,f579,f2457,f2453,f2449]) ).
fof(f2449,plain,
( spl22_213
<=> aElement0(szmzizndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_213])]) ).
fof(f2453,plain,
( spl22_214
<=> aSubsetOf0(xP,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_214])]) ).
fof(f2457,plain,
( spl22_215
<=> slcrc0 = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl22_215])]) ).
fof(f1025,plain,
( slcrc0 = xP
| ~ aSubsetOf0(xP,szNzAzT0)
| aElement0(szmzizndt0(xP))
| ~ spl22_29
| ~ spl22_100 ),
inference(resolution,[],[f976,f580]) ).
fof(f2439,plain,
( spl22_211
| ~ spl22_5
| spl22_212
| ~ spl22_39
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f912,f856,f626,f2436,f460,f2432]) ).
fof(f912,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| aElementOf0(sK17(xQ),xS)
| ~ spl22_39
| ~ spl22_81 ),
inference(resolution,[],[f857,f627]) ).
fof(f2404,plain,
( spl22_210
| ~ spl22_54
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f914,f856,f705,f2402]) ).
fof(f2402,plain,
( spl22_210
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_210])]) ).
fof(f914,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK17(X0)) )
| ~ spl22_54
| ~ spl22_81 ),
inference(duplicate_literal_removal,[],[f896]) ).
fof(f896,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK17(X0))
| ~ aSet0(X0) )
| ~ spl22_54
| ~ spl22_81 ),
inference(resolution,[],[f857,f706]) ).
fof(f2400,plain,
( spl22_208
| ~ spl22_11
| spl22_209
| ~ spl22_38
| ~ spl22_81 ),
inference(avatar_split_clause,[],[f905,f856,f619,f2397,f490,f2393]) ).
fof(f2393,plain,
( spl22_208
<=> sP1(sK17(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_208])]) ).
fof(f905,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP1(sK17(szNzAzT0))
| ~ spl22_38
| ~ spl22_81 ),
inference(resolution,[],[f857,f620]) ).
fof(f2391,plain,
( spl22_207
| ~ spl22_38
| ~ spl22_80 ),
inference(avatar_split_clause,[],[f894,f852,f619,f2389]) ).
fof(f894,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP1(sK15(X0)) )
| ~ spl22_38
| ~ spl22_80 ),
inference(resolution,[],[f853,f620]) ).
fof(f2387,plain,
( spl22_206
| ~ spl22_40
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f803,f775,f631,f2385]) ).
fof(f2385,plain,
( spl22_206
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_206])]) ).
fof(f803,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) )
| ~ spl22_40
| ~ spl22_67 ),
inference(resolution,[],[f776,f632]) ).
fof(f2383,plain,
( spl22_205
| ~ spl22_43
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f801,f775,f644,f2381]) ).
fof(f2381,plain,
( spl22_205
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_205])]) ).
fof(f801,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl22_43
| ~ spl22_67 ),
inference(resolution,[],[f776,f645]) ).
fof(f2354,plain,
( ~ spl22_11
| spl22_204
| ~ spl22_54
| ~ spl22_59 ),
inference(avatar_split_clause,[],[f755,f725,f705,f2352,f490]) ).
fof(f755,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl22_54
| ~ spl22_59 ),
inference(resolution,[],[f726,f706]) ).
fof(f2350,plain,
( spl22_203
| ~ spl22_41
| ~ spl22_59 ),
inference(avatar_split_clause,[],[f752,f725,f635,f2348]) ).
fof(f2348,plain,
( spl22_203
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_203])]) ).
fof(f752,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl22_41
| ~ spl22_59 ),
inference(resolution,[],[f726,f636]) ).
fof(f2327,plain,
( spl22_202
| spl22_19
| ~ spl22_16
| ~ spl22_108 ),
inference(avatar_split_clause,[],[f1086,f1062,f515,f530,f2324]) ).
fof(f2324,plain,
( spl22_202
<=> xk = szszuzczcdt0(sK12(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_202])]) ).
fof(f1086,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK12(xk))
| ~ spl22_16
| ~ spl22_108 ),
inference(resolution,[],[f1063,f517]) ).
fof(f2301,plain,
( ~ spl22_13
| spl22_201
| ~ spl22_21
| ~ spl22_116 ),
inference(avatar_split_clause,[],[f1162,f1117,f540,f2299,f500]) ).
fof(f1162,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl22_21
| ~ spl22_116 ),
inference(resolution,[],[f1118,f541]) ).
fof(f2297,plain,
( spl22_200
| ~ spl22_45
| ~ spl22_86 ),
inference(avatar_split_clause,[],[f920,f877,f652,f2295]) ).
fof(f2295,plain,
( spl22_200
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_200])]) ).
fof(f652,plain,
( spl22_45
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).
fof(f920,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl22_45
| ~ spl22_86 ),
inference(resolution,[],[f878,f653]) ).
fof(f653,plain,
( ! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| aSet0(X2) )
| ~ spl22_45 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f2293,plain,
( spl22_199
| ~ spl22_38
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f804,f775,f619,f2291]) ).
fof(f2291,plain,
( spl22_199
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP1(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_199])]) ).
fof(f804,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP1(sbrdtbr0(X0)) )
| ~ spl22_38
| ~ spl22_67 ),
inference(resolution,[],[f776,f620]) ).
fof(f2289,plain,
( spl22_198
| ~ spl22_40
| ~ spl22_59 ),
inference(avatar_split_clause,[],[f753,f725,f631,f2287]) ).
fof(f2287,plain,
( spl22_198
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_198])]) ).
fof(f753,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl22_40
| ~ spl22_59 ),
inference(resolution,[],[f726,f632]) ).
fof(f2285,plain,
( spl22_197
| ~ spl22_43
| ~ spl22_59 ),
inference(avatar_split_clause,[],[f751,f725,f644,f2283]) ).
fof(f2283,plain,
( spl22_197
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_197])]) ).
fof(f751,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl22_43
| ~ spl22_59 ),
inference(resolution,[],[f726,f645]) ).
fof(f2256,plain,
( spl22_196
| ~ spl22_64
| ~ spl22_185 ),
inference(avatar_split_clause,[],[f2176,f2139,f761,f2253]) ).
fof(f2253,plain,
( spl22_196
<=> aSubsetOf0(sK7,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_196])]) ).
fof(f2176,plain,
( aSubsetOf0(sK7,xT)
| ~ spl22_64
| ~ spl22_185 ),
inference(resolution,[],[f2141,f762]) ).
fof(f2251,plain,
( spl22_195
| ~ spl22_38
| ~ spl22_59 ),
inference(avatar_split_clause,[],[f754,f725,f619,f2249]) ).
fof(f754,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP1(szszuzczcdt0(X0)) )
| ~ spl22_38
| ~ spl22_59 ),
inference(resolution,[],[f726,f620]) ).
fof(f2228,plain,
( spl22_194
| ~ spl22_30
| ~ spl22_106 ),
inference(avatar_split_clause,[],[f1055,f1043,f583,f2226]) ).
fof(f2226,plain,
( spl22_194
<=> ! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_194])]) ).
fof(f1055,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK7)
| aElementOf0(X0,xS) )
| ~ spl22_30
| ~ spl22_106 ),
inference(resolution,[],[f1044,f585]) ).
fof(f2222,plain,
( ~ spl22_192
| spl22_193
| spl22_34
| ~ spl22_104 ),
inference(avatar_split_clause,[],[f1050,f1035,f602,f2219,f2215]) ).
fof(f2215,plain,
( spl22_192
<=> aElementOf0(xy,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_192])]) ).
fof(f2219,plain,
( spl22_193
<=> xx = xy ),
introduced(avatar_definition,[new_symbols(naming,[spl22_193])]) ).
fof(f1050,plain,
( xx = xy
| ~ aElementOf0(xy,xP)
| spl22_34
| ~ spl22_104 ),
inference(resolution,[],[f1036,f604]) ).
fof(f2213,plain,
( ~ spl22_24
| spl22_191
| ~ spl22_30
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f746,f705,f583,f2210,f554]) ).
fof(f2210,plain,
( spl22_191
<=> aElement0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_191])]) ).
fof(f746,plain,
( aElement0(sK7)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ spl22_30
| ~ spl22_54 ),
inference(resolution,[],[f706,f585]) ).
fof(f2208,plain,
( ~ spl22_24
| spl22_190
| ~ spl22_28
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f744,f705,f574,f2205,f554]) ).
fof(f2205,plain,
( spl22_190
<=> aElement0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_190])]) ).
fof(f744,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ spl22_28
| ~ spl22_54 ),
inference(resolution,[],[f706,f576]) ).
fof(f2203,plain,
( spl22_189
| ~ spl22_64
| ~ spl22_184 ),
inference(avatar_split_clause,[],[f2169,f2134,f761,f2200]) ).
fof(f2200,plain,
( spl22_189
<=> aSubsetOf0(xQ,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_189])]) ).
fof(f2169,plain,
( aSubsetOf0(xQ,xT)
| ~ spl22_64
| ~ spl22_184 ),
inference(resolution,[],[f2136,f762]) ).
fof(f2197,plain,
( spl22_188
| ~ spl22_20
| ~ spl22_69 ),
inference(avatar_split_clause,[],[f814,f783,f535,f2195]) ).
fof(f2195,plain,
( spl22_188
<=> ! [X0] :
( sP5(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_188])]) ).
fof(f814,plain,
( ! [X0] :
( sP5(X0,sz00)
| ~ aSet0(X0) )
| ~ spl22_20
| ~ spl22_69 ),
inference(resolution,[],[f784,f537]) ).
fof(f2189,plain,
( ~ spl22_53
| spl22_187
| ~ spl22_26
| ~ spl22_47 ),
inference(avatar_split_clause,[],[f674,f662,f564,f2186,f698]) ).
fof(f698,plain,
( spl22_53
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_53])]) ).
fof(f2186,plain,
( spl22_187
<=> sP0(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_187])]) ).
fof(f674,plain,
( sP0(sz00,slcrc0)
| ~ sP1(sz00)
| ~ spl22_26
| ~ spl22_47 ),
inference(superposition,[],[f663,f566]) ).
fof(f2184,plain,
( spl22_186
| ~ spl22_37
| ~ spl22_47 ),
inference(avatar_split_clause,[],[f673,f662,f615,f2182]) ).
fof(f2182,plain,
( spl22_186
<=> ! [X0] :
( ~ sP1(X0)
| aSet0(slbdtrb0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_186])]) ).
fof(f615,plain,
( spl22_37
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
fof(f673,plain,
( ! [X0] :
( ~ sP1(X0)
| aSet0(slbdtrb0(X0)) )
| ~ spl22_37
| ~ spl22_47 ),
inference(resolution,[],[f663,f616]) ).
fof(f616,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aSet0(X1) )
| ~ spl22_37 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f2142,plain,
( spl22_185
| ~ spl22_30
| ~ spl22_89 ),
inference(avatar_split_clause,[],[f931,f926,f583,f2139]) ).
fof(f931,plain,
( aElementOf0(sK7,slbdtsldtrb0(xT,xk))
| ~ spl22_30
| ~ spl22_89 ),
inference(resolution,[],[f927,f585]) ).
fof(f2137,plain,
( spl22_184
| ~ spl22_28
| ~ spl22_89 ),
inference(avatar_split_clause,[],[f930,f926,f574,f2134]) ).
fof(f930,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ spl22_28
| ~ spl22_89 ),
inference(resolution,[],[f927,f576]) ).
fof(f2132,plain,
( spl22_183
| ~ spl22_16
| ~ spl22_69 ),
inference(avatar_split_clause,[],[f817,f783,f515,f2130]) ).
fof(f2130,plain,
( spl22_183
<=> ! [X0] :
( sP5(X0,xk)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_183])]) ).
fof(f817,plain,
( ! [X0] :
( sP5(X0,xk)
| ~ aSet0(X0) )
| ~ spl22_16
| ~ spl22_69 ),
inference(resolution,[],[f784,f517]) ).
fof(f2128,plain,
( spl22_182
| ~ spl22_16
| ~ spl22_68 ),
inference(avatar_split_clause,[],[f812,f779,f515,f2125]) ).
fof(f2125,plain,
( spl22_182
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_182])]) ).
fof(f812,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl22_16
| ~ spl22_68 ),
inference(resolution,[],[f780,f517]) ).
fof(f2123,plain,
( ~ spl22_180
| ~ spl22_24
| spl22_181
| spl22_1
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1329,f1277,f441,f2120,f554,f2116]) ).
fof(f2116,plain,
( spl22_180
<=> aElement0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_180])]) ).
fof(f2120,plain,
( spl22_181
<=> slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_181])]) ).
fof(f1329,plain,
( slbdtsldtrb0(xS,xk) = sdtmndt0(sdtpldt0(slbdtsldtrb0(xS,xk),xP),xP)
| ~ aSet0(slbdtsldtrb0(xS,xk))
| ~ aElement0(xP)
| spl22_1
| ~ spl22_131 ),
inference(resolution,[],[f1278,f443]) ).
fof(f443,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
| spl22_1 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f2114,plain,
( ~ spl22_11
| ~ spl22_179
| ~ spl22_12
| ~ spl22_44 ),
inference(avatar_split_clause,[],[f672,f648,f495,f2111,f490]) ).
fof(f2111,plain,
( spl22_179
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_179])]) ).
fof(f672,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl22_12
| ~ spl22_44 ),
inference(resolution,[],[f649,f497]) ).
fof(f2109,plain,
( ~ spl22_13
| spl22_178
| ~ spl22_35
| ~ spl22_46 ),
inference(avatar_split_clause,[],[f660,f656,f607,f2106,f500]) ).
fof(f2106,plain,
( spl22_178
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_178])]) ).
fof(f607,plain,
( spl22_35
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
fof(f660,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl22_35
| ~ spl22_46 ),
inference(superposition,[],[f608,f658]) ).
fof(f608,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl22_35 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f2067,plain,
spl22_177,
inference(avatar_split_clause,[],[f387,f2065]) ).
fof(f2065,plain,
( spl22_177
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_177])]) ).
fof(f387,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( sK19(X0,X1,X2) != X0
& aElementOf0(sK19(X0,X1,X2),X1)
& aElement0(sK19(X0,X1,X2)) )
| aElementOf0(sK19(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) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f228,f229]) ).
fof(f229,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) ) )
=> ( ( sK19(X0,X1,X2) = X0
| ~ aElementOf0(sK19(X0,X1,X2),X1)
| ~ aElement0(sK19(X0,X1,X2))
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( sK19(X0,X1,X2) != X0
& aElementOf0(sK19(X0,X1,X2),X1)
& aElement0(sK19(X0,X1,X2)) )
| aElementOf0(sK19(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( sP3(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) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
! [X1,X0,X2] :
( ( sP3(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) ) )
| ~ sP3(X1,X0,X2) ) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X1,X0,X2] :
( ( sP3(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) ) )
| ~ sP3(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X1,X0,X2] :
( sP3(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2055,plain,
spl22_176,
inference(avatar_split_clause,[],[f404,f2053]) ).
fof(f2053,plain,
( spl22_176
<=> ! [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,[spl22_176])]) ).
fof(f404,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,[],[f150]) ).
fof(f150,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,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).
fof(f2051,plain,
spl22_175,
inference(avatar_split_clause,[],[f402,f2049]) ).
fof(f2049,plain,
( spl22_175
<=> ! [X2,X0,X1] :
( sP4(X0,X1,X2)
| sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_175])]) ).
fof(f402,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( ( sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK21(X0,X1,X2)) = X0
& aSubsetOf0(sK21(X0,X1,X2),X1) )
| aElementOf0(sK21(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) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f238,f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK21(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK21(X0,X1,X2),X1)
| ~ aElementOf0(sK21(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK21(X0,X1,X2)) = X0
& aSubsetOf0(sK21(X0,X1,X2),X1) )
| aElementOf0(sK21(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( sP4(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) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f237]) ).
fof(f237,plain,
! [X1,X0,X2] :
( ( sP4(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) )
| ~ sP4(X1,X0,X2) ) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X1,X0,X2] :
( ( sP4(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) )
| ~ sP4(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X1,X0,X2] :
( sP4(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1991,plain,
spl22_174,
inference(avatar_split_clause,[],[f374,f1989]) ).
fof(f374,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1)
| aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ( sK18(X0,X1,X2) != X0
& ~ aElementOf0(sK18(X0,X1,X2),X1) )
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) )
& ( ( ( sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1) )
& aElement0(sK18(X0,X1,X2)) )
| aElementOf0(sK18(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) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f221,f222]) ).
fof(f222,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) ) )
=> ( ( ( sK18(X0,X1,X2) != X0
& ~ aElementOf0(sK18(X0,X1,X2),X1) )
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) )
& ( ( ( sK18(X0,X1,X2) = X0
| aElementOf0(sK18(X0,X1,X2),X1) )
& aElement0(sK18(X0,X1,X2)) )
| aElementOf0(sK18(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ( sP2(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) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f220]) ).
fof(f220,plain,
! [X1,X0,X2] :
( ( sP2(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) ) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X1,X0,X2] :
( ( sP2(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) ) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1970,plain,
( spl22_173
| ~ spl22_30
| ~ spl22_74 ),
inference(avatar_split_clause,[],[f834,f825,f583,f1967]) ).
fof(f834,plain,
( xk = sbrdtbr0(sK7)
| ~ spl22_30
| ~ spl22_74 ),
inference(resolution,[],[f826,f585]) ).
fof(f1965,plain,
spl22_172,
inference(avatar_split_clause,[],[f375,f1963]) ).
fof(f1963,plain,
( spl22_172
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aElementOf0(sK18(X0,X1,X2),X1)
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_172])]) ).
fof(f375,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aElementOf0(sK18(X0,X1,X2),X1)
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1961,plain,
spl22_171,
inference(avatar_split_clause,[],[f346,f1959]) ).
fof(f346,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
& aElementOf0(sK13(X0,X1),szNzAzT0) )
| aElementOf0(sK13(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) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f199,f200]) ).
fof(f200,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(sK13(X0,X1)),X0)
| ~ aElementOf0(sK13(X0,X1),szNzAzT0)
| ~ aElementOf0(sK13(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
& aElementOf0(sK13(X0,X1),szNzAzT0) )
| aElementOf0(sK13(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0,X1] :
( ( sP0(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) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( sP0(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) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( sP0(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) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1929,plain,
spl22_170,
inference(avatar_split_clause,[],[f358,f1927]) ).
fof(f1927,plain,
( spl22_170
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK14(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_170])]) ).
fof(f358,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK14(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK14(X0,X1),X1)
& aElementOf0(sK14(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,[sK14])],[f204,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK14(X0,X1),X1)
& aElementOf0(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f204,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,[],[f203]) ).
fof(f203,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,[],[f202]) ).
fof(f202,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,[],[f131]) ).
fof(f131,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,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(f1925,plain,
spl22_169,
inference(avatar_split_clause,[],[f357,f1923]) ).
fof(f357,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK14(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1892,plain,
spl22_168,
inference(avatar_split_clause,[],[f401,f1890]) ).
fof(f401,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| sbrdtbr0(sK21(X0,X1,X2)) = X0
| aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1883,plain,
( ~ spl22_7
| spl22_32
| ~ spl22_15
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f743,f705,f510,f593,f470]) ).
fof(f743,plain,
( aElement0(xx)
| ~ aSet0(xS)
| ~ spl22_15
| ~ spl22_54 ),
inference(resolution,[],[f706,f512]) ).
fof(f1790,plain,
spl22_167,
inference(avatar_split_clause,[],[f416,f1788]) ).
fof(f416,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,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f1786,plain,
spl22_166,
inference(avatar_split_clause,[],[f412,f1784]) ).
fof(f1784,plain,
( spl22_166
<=> ! [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,[spl22_166])]) ).
fof(f412,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,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,[],[f243]) ).
fof(f243,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,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(f1782,plain,
spl22_165,
inference(avatar_split_clause,[],[f400,f1780]) ).
fof(f400,plain,
! [X2,X0,X1] :
( sP4(X0,X1,X2)
| aSubsetOf0(sK21(X0,X1,X2),X1)
| aElementOf0(sK21(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1778,plain,
spl22_164,
inference(avatar_split_clause,[],[f364,f1776]) ).
fof(f1776,plain,
( spl22_164
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK16(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_164])]) ).
fof(f364,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK16(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK16(X0,X1))
& aElementOf0(sK16(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,[sK16])],[f211,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK16(X0,X1))
& aElementOf0(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f211,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,[],[f210]) ).
fof(f210,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,[],[f209]) ).
fof(f209,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,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f1774,plain,
spl22_163,
inference(avatar_split_clause,[],[f363,f1772]) ).
fof(f363,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK16(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1724,plain,
spl22_162,
inference(avatar_split_clause,[],[f393,f1722]) ).
fof(f393,plain,
! [X0,X1] :
( sbrdtbr0(sK20(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( sbrdtbr0(sK20(X0,X1)) = X1
& aSubsetOf0(sK20(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f146,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK20(X0,X1)) = X1
& aSubsetOf0(sK20(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f1720,plain,
spl22_161,
inference(avatar_split_clause,[],[f352,f1718]) ).
fof(f352,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(f1623,plain,
spl22_160,
inference(avatar_split_clause,[],[f392,f1621]) ).
fof(f392,plain,
! [X0,X1] :
( aSubsetOf0(sK20(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f1619,plain,
spl22_159,
inference(avatar_split_clause,[],[f385,f1617]) ).
fof(f385,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElementOf0(sK19(X0,X1,X2),X1)
| aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1615,plain,
spl22_158,
inference(avatar_split_clause,[],[f345,f1613]) ).
fof(f345,plain,
! [X0,X1] :
( sP0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK13(X0,X1)),X0)
| aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f1611,plain,
( ~ spl22_5
| spl22_157
| ~ spl22_22
| ~ spl22_35 ),
inference(avatar_split_clause,[],[f622,f607,f544,f1608,f460]) ).
fof(f1608,plain,
( spl22_157
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_157])]) ).
fof(f622,plain,
( aElement0(xk)
| ~ aSet0(xQ)
| ~ spl22_22
| ~ spl22_35 ),
inference(superposition,[],[f608,f546]) ).
fof(f1457,plain,
spl22_156,
inference(avatar_split_clause,[],[f438,f1455]) ).
fof(f1455,plain,
( spl22_156
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_156])]) ).
fof(f438,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f376]) ).
fof(f376,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK18(X0,X1,X2) != X0
| ~ aElement0(sK18(X0,X1,X2))
| ~ aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1453,plain,
spl22_155,
inference(avatar_split_clause,[],[f422,f1451]) ).
fof(f422,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f356]) ).
fof(f356,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1449,plain,
spl22_154,
inference(avatar_split_clause,[],[f415,f1447]) ).
fof(f415,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f1445,plain,
spl22_153,
inference(avatar_split_clause,[],[f413,f1443]) ).
fof(f413,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1441,plain,
spl22_152,
inference(avatar_split_clause,[],[f407,f1439]) ).
fof(f407,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f1437,plain,
spl22_151,
inference(avatar_split_clause,[],[f390,f1435]) ).
fof(f1435,plain,
( spl22_151
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_151])]) ).
fof(f390,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP3(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP3(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP3(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP3(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f142,f172]) ).
fof(f142,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,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f1433,plain,
spl22_150,
inference(avatar_split_clause,[],[f384,f1431]) ).
fof(f384,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| aElement0(sK19(X0,X1,X2))
| aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1429,plain,
spl22_149,
inference(avatar_split_clause,[],[f383,f1427]) ).
fof(f383,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1425,plain,
spl22_148,
inference(avatar_split_clause,[],[f379,f1423]) ).
fof(f1423,plain,
( spl22_148
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_148])]) ).
fof(f379,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP2(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP2(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP2(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f140,f170]) ).
fof(f140,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,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f1421,plain,
spl22_147,
inference(avatar_split_clause,[],[f373,f1419]) ).
fof(f373,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElement0(sK18(X0,X1,X2))
| aElementOf0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1417,plain,
spl22_146,
inference(avatar_split_clause,[],[f344,f1415]) ).
fof(f344,plain,
! [X0,X1] :
( sP0(X0,X1)
| aElementOf0(sK13(X0,X1),szNzAzT0)
| aElementOf0(sK13(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f1413,plain,
spl22_145,
inference(avatar_split_clause,[],[f322,f1411]) ).
fof(f322,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(f1391,plain,
spl22_144,
inference(avatar_split_clause,[],[f300,f1389]) ).
fof(f300,plain,
! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK8(X1),xS)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& aElementOf0(sK7,slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK8(X1),xS)
& aElementOf0(sK8(X1),X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ( ~ aElementOf0(sK9(X5),xT)
& aElementOf0(sK9(X5),X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ( ~ aElementOf0(sK10(X8),xS)
& aElementOf0(sK10(X8),X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f181,f185,f184,f183,f182]) ).
fof(f182,plain,
( ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK7,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK8(X1),xS)
& aElementOf0(sK8(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X5] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
=> ( ~ aElementOf0(sK9(X5),xT)
& aElementOf0(sK9(X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X8] :
( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
=> ( ~ aElementOf0(sK10(X8),xS)
& aElementOf0(sK10(X8),X8) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) )
& ( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) )
& ( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSet0(X0) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xS,xk))
=> aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
& ! [X5] :
( ( ( xk = sbrdtbr0(X5)
& ( aSubsetOf0(X5,xT)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,xT) )
& aSet0(X5) ) ) )
=> aElementOf0(X5,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
=> ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,X5)
=> aElementOf0(X7,xT) )
& aSet0(X5) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( ( xk = sbrdtbr0(X8)
& ( aSubsetOf0(X8,xS)
| ( ! [X9] :
( aElementOf0(X9,X8)
=> aElementOf0(X9,xS) )
& aSet0(X8) ) ) )
=> aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
=> ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,X8)
=> aElementOf0(X10,xS) )
& aSet0(X8) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xT)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).
fof(f1387,plain,
spl22_143,
inference(avatar_split_clause,[],[f299,f1385]) ).
fof(f299,plain,
! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| aElementOf0(sK8(X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1383,plain,
spl22_142,
inference(avatar_split_clause,[],[f291,f1381]) ).
fof(f291,plain,
! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ~ aElementOf0(sK9(X5),xT)
| ~ aSet0(X5) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1379,plain,
spl22_141,
inference(avatar_split_clause,[],[f290,f1377]) ).
fof(f290,plain,
! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| aElementOf0(sK9(X5),X5)
| ~ aSet0(X5) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1375,plain,
spl22_140,
inference(avatar_split_clause,[],[f283,f1373]) ).
fof(f283,plain,
! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ~ aElementOf0(sK10(X8),xS)
| ~ aSet0(X8) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1371,plain,
spl22_139,
inference(avatar_split_clause,[],[f282,f1369]) ).
fof(f282,plain,
! [X8] :
( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| aElementOf0(sK10(X8),X8)
| ~ aSet0(X8) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1346,plain,
( ~ spl22_137
| ~ spl22_9
| spl22_138
| spl22_2
| ~ spl22_131 ),
inference(avatar_split_clause,[],[f1330,f1277,f446,f1343,f480,f1339]) ).
fof(f1343,plain,
( spl22_138
<=> xP = sdtmndt0(sdtpldt0(xP,sK6),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_138])]) ).
fof(f1330,plain,
( xP = sdtmndt0(sdtpldt0(xP,sK6),sK6)
| ~ aSet0(xP)
| ~ aElement0(sK6)
| spl22_2
| ~ spl22_131 ),
inference(resolution,[],[f1278,f447]) ).
fof(f447,plain,
( ~ aElementOf0(sK6,xP)
| spl22_2 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1299,plain,
spl22_136,
inference(avatar_split_clause,[],[f411,f1297]) ).
fof(f411,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,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,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegLess) ).
fof(f1295,plain,
spl22_135,
inference(avatar_split_clause,[],[f410,f1293]) ).
fof(f410,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1291,plain,
spl22_134,
inference(avatar_split_clause,[],[f409,f1289]) ).
fof(f1289,plain,
( spl22_134
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_134])]) ).
fof(f409,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,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,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(f1287,plain,
spl22_133,
inference(avatar_split_clause,[],[f408,f1285]) ).
fof(f408,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f1283,plain,
spl22_132,
inference(avatar_split_clause,[],[f406,f1281]) ).
fof(f1281,plain,
( spl22_132
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_132])]) ).
fof(f406,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f1279,plain,
spl22_131,
inference(avatar_split_clause,[],[f368,f1277]) ).
fof(f368,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1275,plain,
spl22_130,
inference(avatar_split_clause,[],[f351,f1273]) ).
fof(f351,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
fof(f1271,plain,
( spl22_129
| ~ spl22_20
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f668,f635,f535,f1268]) ).
fof(f1268,plain,
( spl22_129
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_129])]) ).
fof(f668,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl22_20
| ~ spl22_41 ),
inference(resolution,[],[f636,f537]) ).
fof(f1254,plain,
spl22_128,
inference(avatar_split_clause,[],[f439,f1252]) ).
fof(f1252,plain,
( spl22_128
<=> ! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_128])]) ).
fof(f439,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sK19(X0,X1,X2) != X0
| aElementOf0(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1250,plain,
spl22_127,
inference(avatar_split_clause,[],[f424,f1248]) ).
fof(f1248,plain,
( spl22_127
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_127])]) ).
fof(f424,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f362]) ).
fof(f362,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1246,plain,
spl22_126,
inference(avatar_split_clause,[],[f405,f1244]) ).
fof(f405,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1242,plain,
spl22_125,
inference(avatar_split_clause,[],[f391,f1240]) ).
fof(f391,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f1235,plain,
spl22_124,
inference(avatar_split_clause,[],[f370,f1233]) ).
fof(f370,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1231,plain,
spl22_123,
inference(avatar_split_clause,[],[f343,f1229]) ).
fof(f343,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f1219,plain,
spl22_122,
inference(avatar_split_clause,[],[f270,f1217]) ).
fof(f270,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).
fof(f1139,plain,
spl22_121,
inference(avatar_split_clause,[],[f423,f1137]) ).
fof(f423,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f355]) ).
fof(f355,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1135,plain,
spl22_120,
inference(avatar_split_clause,[],[f395,f1133]) ).
fof(f1133,plain,
( spl22_120
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP4(X1,X0,X2)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_120])]) ).
fof(f395,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP4(X1,X0,X2)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP4(X1,X0,X2) )
& ( sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP4(X1,X0,X2) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1131,plain,
spl22_119,
inference(avatar_split_clause,[],[f371,f1129]) ).
fof(f371,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1127,plain,
spl22_118,
inference(avatar_split_clause,[],[f348,f1125]) ).
fof(f1125,plain,
( spl22_118
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_118])]) ).
fof(f348,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(f1123,plain,
spl22_117,
inference(avatar_split_clause,[],[f326,f1121]) ).
fof(f326,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK11(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(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,[sK11])],[f191,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f191,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,[],[f190]) ).
fof(f190,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,[],[f189]) ).
fof(f189,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,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f1119,plain,
spl22_116,
inference(avatar_split_clause,[],[f325,f1117]) ).
fof(f325,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK11(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1115,plain,
spl22_115,
inference(avatar_split_clause,[],[f321,f1113]) ).
fof(f321,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(f1111,plain,
spl22_114,
inference(avatar_split_clause,[],[f320,f1109]) ).
fof(f320,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f1101,plain,
spl22_113,
inference(avatar_split_clause,[],[f301,f1099]) ).
fof(f1099,plain,
( spl22_113
<=> ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_113])]) ).
fof(f301,plain,
! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,xS) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1097,plain,
spl22_112,
inference(avatar_split_clause,[],[f292,f1095]) ).
fof(f292,plain,
! [X5] :
( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ~ aSubsetOf0(X5,xT) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1076,plain,
spl22_111,
inference(avatar_split_clause,[],[f435,f1074]) ).
fof(f435,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP4(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f399]) ).
fof(f399,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1072,plain,
spl22_110,
inference(avatar_split_clause,[],[f398,f1070]) ).
fof(f398,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1068,plain,
spl22_109,
inference(avatar_split_clause,[],[f353,f1066]) ).
fof(f1066,plain,
( spl22_109
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_109])]) ).
fof(f353,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1064,plain,
spl22_108,
inference(avatar_split_clause,[],[f337,f1062]) ).
fof(f337,plain,
! [X0] :
( szszuzczcdt0(sK12(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( szszuzczcdt0(sK12(X0)) = X0
& aElementOf0(sK12(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f114,f194]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK12(X0)) = X0
& aElementOf0(sK12(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1060,plain,
spl22_107,
inference(avatar_split_clause,[],[f324,f1058]) ).
fof(f324,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1045,plain,
spl22_106,
inference(avatar_split_clause,[],[f296,f1043]) ).
fof(f296,plain,
! [X3,X1] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1041,plain,
spl22_105,
inference(avatar_split_clause,[],[f287,f1039]) ).
fof(f287,plain,
! [X7,X5] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1037,plain,
spl22_104,
inference(avatar_split_clause,[],[f273,f1035]) ).
fof(f273,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f180]) ).
fof(f993,plain,
( spl22_103
| ~ spl22_30
| ~ spl22_65 ),
inference(avatar_split_clause,[],[f769,f765,f583,f990]) ).
fof(f990,plain,
( spl22_103
<=> aSubsetOf0(sK7,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_103])]) ).
fof(f769,plain,
( aSubsetOf0(sK7,xS)
| ~ spl22_30
| ~ spl22_65 ),
inference(resolution,[],[f766,f585]) ).
fof(f985,plain,
spl22_102,
inference(avatar_split_clause,[],[f432,f983]) ).
fof(f432,plain,
! [X0,X1] :
( sP3(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f389]) ).
fof(f389,plain,
! [X2,X0,X1] :
( sP3(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f981,plain,
spl22_101,
inference(avatar_split_clause,[],[f429,f979]) ).
fof(f429,plain,
! [X0,X1] :
( sP2(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f378]) ).
fof(f378,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f977,plain,
spl22_100,
inference(avatar_split_clause,[],[f425,f975]) ).
fof(f425,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f361]) ).
fof(f361,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f973,plain,
spl22_99,
inference(avatar_split_clause,[],[f397,f971]) ).
fof(f397,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f969,plain,
spl22_98,
inference(avatar_split_clause,[],[f381,f967]) ).
fof(f381,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f965,plain,
spl22_97,
inference(avatar_split_clause,[],[f360,f963]) ).
fof(f360,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
& aElementOf0(sK15(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f133,f207]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK15(X0)))
& aElementOf0(sK15(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f961,plain,
spl22_96,
inference(avatar_split_clause,[],[f342,f959]) ).
fof(f342,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f957,plain,
spl22_95,
inference(avatar_split_clause,[],[f336,f955]) ).
fof(f336,plain,
! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f953,plain,
( spl22_94
| ~ spl22_16
| ~ spl22_43 ),
inference(avatar_split_clause,[],[f671,f644,f515,f950]) ).
fof(f950,plain,
( spl22_94
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_94])]) ).
fof(f671,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl22_16
| ~ spl22_43 ),
inference(resolution,[],[f645,f517]) ).
fof(f948,plain,
spl22_93,
inference(avatar_split_clause,[],[f312,f946]) ).
fof(f312,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f944,plain,
spl22_92,
inference(avatar_split_clause,[],[f311,f942]) ).
fof(f311,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(f940,plain,
spl22_91,
inference(avatar_split_clause,[],[f310,f938]) ).
fof(f310,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f936,plain,
spl22_90,
inference(avatar_split_clause,[],[f309,f934]) ).
fof(f309,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(f928,plain,
spl22_89,
inference(avatar_split_clause,[],[f293,f926]) ).
fof(f293,plain,
! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f924,plain,
spl22_88,
inference(avatar_split_clause,[],[f274,f922]) ).
fof(f274,plain,
! [X0] :
( aElementOf0(X0,xP)
| ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f919,plain,
( spl22_87
| ~ spl22_16
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f669,f635,f515,f916]) ).
fof(f916,plain,
( spl22_87
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_87])]) ).
fof(f669,plain,
( sdtlseqdt0(xk,xk)
| ~ spl22_16
| ~ spl22_41 ),
inference(resolution,[],[f636,f517]) ).
fof(f879,plain,
spl22_86,
inference(avatar_split_clause,[],[f434,f877]) ).
fof(f434,plain,
! [X0,X1] :
( sP4(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP5(X0,X1) ),
inference(equality_resolution,[],[f394]) ).
fof(f394,plain,
! [X2,X0,X1] :
( sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f875,plain,
spl22_85,
inference(avatar_split_clause,[],[f428,f873]) ).
fof(f428,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP2(X4,X1,X2) ),
inference(equality_resolution,[],[f372]) ).
fof(f372,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f871,plain,
( spl22_84
| ~ spl22_16
| ~ spl22_40 ),
inference(avatar_split_clause,[],[f666,f631,f515,f868]) ).
fof(f868,plain,
( spl22_84
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_84])]) ).
fof(f666,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl22_16
| ~ spl22_40 ),
inference(resolution,[],[f632,f517]) ).
fof(f866,plain,
spl22_83,
inference(avatar_split_clause,[],[f380,f864]) ).
fof(f380,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f862,plain,
spl22_82,
inference(avatar_split_clause,[],[f369,f860]) ).
fof(f369,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f858,plain,
spl22_81,
inference(avatar_split_clause,[],[f367,f856]) ).
fof(f367,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK17(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK17(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f216,f217]) ).
fof(f217,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK17(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f854,plain,
spl22_80,
inference(avatar_split_clause,[],[f359,f852]) ).
fof(f359,plain,
! [X0] :
( aElementOf0(sK15(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f850,plain,
spl22_79,
inference(avatar_split_clause,[],[f354,f848]) ).
fof(f354,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(f846,plain,
spl22_78,
inference(avatar_split_clause,[],[f341,f844]) ).
fof(f341,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f842,plain,
spl22_77,
inference(avatar_split_clause,[],[f339,f840]) ).
fof(f840,plain,
( spl22_77
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_77])]) ).
fof(f339,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f838,plain,
spl22_76,
inference(avatar_split_clause,[],[f315,f836]) ).
fof(f836,plain,
( spl22_76
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_76])]) ).
fof(f315,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f832,plain,
( spl22_75
| ~ spl22_17
| ~ spl22_39 ),
inference(avatar_split_clause,[],[f629,f626,f520,f829]) ).
fof(f829,plain,
( spl22_75
<=> aElementOf0(xy,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_75])]) ).
fof(f629,plain,
( aElementOf0(xy,xS)
| ~ spl22_17
| ~ spl22_39 ),
inference(resolution,[],[f627,f522]) ).
fof(f827,plain,
spl22_74,
inference(avatar_split_clause,[],[f298,f825]) ).
fof(f298,plain,
! [X1] :
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f823,plain,
spl22_73,
inference(avatar_split_clause,[],[f289,f821]) ).
fof(f289,plain,
! [X5] :
( xk = sbrdtbr0(X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f797,plain,
spl22_72,
inference(avatar_split_clause,[],[f437,f795]) ).
fof(f437,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f436,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f414]) ).
fof(f414,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f793,plain,
spl22_71,
inference(avatar_split_clause,[],[f433,f791]) ).
fof(f791,plain,
( spl22_71
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_71])]) ).
fof(f433,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f789,plain,
spl22_70,
inference(avatar_split_clause,[],[f430,f787]) ).
fof(f787,plain,
( spl22_70
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_70])]) ).
fof(f430,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f377]) ).
fof(f377,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f785,plain,
spl22_69,
inference(avatar_split_clause,[],[f403,f783]) ).
fof(f403,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f148,f175,f174]) ).
fof(f148,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,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f781,plain,
spl22_68,
inference(avatar_split_clause,[],[f333,f779]) ).
fof(f333,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(f777,plain,
spl22_67,
inference(avatar_split_clause,[],[f318,f775]) ).
fof(f318,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f773,plain,
spl22_66,
inference(avatar_split_clause,[],[f317,f771]) ).
fof(f317,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f767,plain,
spl22_65,
inference(avatar_split_clause,[],[f297,f765]) ).
fof(f297,plain,
! [X1] :
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f763,plain,
spl22_64,
inference(avatar_split_clause,[],[f288,f761]) ).
fof(f288,plain,
! [X5] :
( aSubsetOf0(X5,xT)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f759,plain,
spl22_63,
inference(avatar_split_clause,[],[f268,f757]) ).
fof(f268,plain,
! [X1] :
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f740,plain,
( spl22_62
| ~ spl22_30
| ~ spl22_52 ),
inference(avatar_split_clause,[],[f703,f694,f583,f737]) ).
fof(f737,plain,
( spl22_62
<=> aSet0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_62])]) ).
fof(f703,plain,
( aSet0(sK7)
| ~ spl22_30
| ~ spl22_52 ),
inference(resolution,[],[f695,f585]) ).
fof(f735,plain,
spl22_61,
inference(avatar_split_clause,[],[f431,f733]) ).
fof(f431,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP3(X4,X1,X2) ),
inference(equality_resolution,[],[f382]) ).
fof(f382,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f731,plain,
spl22_60,
inference(avatar_split_clause,[],[f335,f729]) ).
fof(f729,plain,
( spl22_60
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_60])]) ).
fof(f335,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f727,plain,
spl22_59,
inference(avatar_split_clause,[],[f334,f725]) ).
fof(f334,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f723,plain,
spl22_58,
inference(avatar_split_clause,[],[f332,f721]) ).
fof(f332,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f719,plain,
spl22_57,
inference(avatar_split_clause,[],[f331,f717]) ).
fof(f331,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f715,plain,
spl22_56,
inference(avatar_split_clause,[],[f330,f713]) ).
fof(f713,plain,
( spl22_56
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_56])]) ).
fof(f330,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f711,plain,
spl22_55,
inference(avatar_split_clause,[],[f323,f709]) ).
fof(f323,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f707,plain,
spl22_54,
inference(avatar_split_clause,[],[f319,f705]) ).
fof(f319,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f701,plain,
( spl22_53
| ~ spl22_20
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f623,f619,f535,f698]) ).
fof(f623,plain,
( sP1(sz00)
| ~ spl22_20
| ~ spl22_38 ),
inference(resolution,[],[f620,f537]) ).
fof(f696,plain,
spl22_52,
inference(avatar_split_clause,[],[f295,f694]) ).
fof(f295,plain,
! [X1] :
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f692,plain,
spl22_51,
inference(avatar_split_clause,[],[f294,f689]) ).
fof(f294,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f186]) ).
fof(f687,plain,
spl22_50,
inference(avatar_split_clause,[],[f286,f685]) ).
fof(f286,plain,
! [X5] :
( aSet0(X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f683,plain,
spl22_49,
inference(avatar_split_clause,[],[f276,f680]) ).
fof(f276,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f180]) ).
fof(f678,plain,
spl22_48,
inference(avatar_split_clause,[],[f267,f676]) ).
fof(f267,plain,
! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f664,plain,
spl22_47,
inference(avatar_split_clause,[],[f420,f662]) ).
fof(f420,plain,
! [X0] :
( sP0(X0,slbdtrb0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( sP0(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f659,plain,
( ~ spl22_13
| spl22_46 ),
inference(avatar_split_clause,[],[f419,f656,f500]) ).
fof(f419,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f316]) ).
fof(f316,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f654,plain,
spl22_45,
inference(avatar_split_clause,[],[f396,f652]) ).
fof(f396,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f650,plain,
spl22_44,
inference(avatar_split_clause,[],[f349,f648]) ).
fof(f349,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f646,plain,
spl22_43,
inference(avatar_split_clause,[],[f329,f644]) ).
fof(f329,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f642,plain,
( spl22_42
| ~ spl22_16
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f624,f619,f515,f639]) ).
fof(f639,plain,
( spl22_42
<=> sP1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
fof(f624,plain,
( sP1(xk)
| ~ spl22_16
| ~ spl22_38 ),
inference(resolution,[],[f620,f517]) ).
fof(f637,plain,
spl22_41,
inference(avatar_split_clause,[],[f328,f635]) ).
fof(f328,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f633,plain,
spl22_40,
inference(avatar_split_clause,[],[f327,f631]) ).
fof(f327,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(f628,plain,
spl22_39,
inference(avatar_split_clause,[],[f259,f626]) ).
fof(f259,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(f621,plain,
spl22_38,
inference(avatar_split_clause,[],[f347,f619]) ).
fof(f347,plain,
! [X0] :
( sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f115,f168,f167]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f617,plain,
spl22_37,
inference(avatar_split_clause,[],[f340,f615]) ).
fof(f340,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f613,plain,
spl22_36,
inference(avatar_split_clause,[],[f314,f611]) ).
fof(f314,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f609,plain,
spl22_35,
inference(avatar_split_clause,[],[f313,f607]) ).
fof(f313,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(f605,plain,
~ spl22_34,
inference(avatar_split_clause,[],[f418,f602]) ).
fof(f418,plain,
~ aElementOf0(xy,sdtmndt0(xQ,xy)),
inference(equality_resolution,[],[f269]) ).
fof(f269,plain,
! [X1] :
( xy != X1
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f600,plain,
( ~ spl22_32
| spl22_33 ),
inference(avatar_split_clause,[],[f417,f597,f593]) ).
fof(f417,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f275]) ).
fof(f275,plain,
! [X0] :
( aElementOf0(X0,xP)
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f591,plain,
~ spl22_31,
inference(avatar_split_clause,[],[f303,f588]) ).
fof(f303,plain,
slcrc0 != slbdtsldtrb0(xS,xk),
inference(cnf_transformation,[],[f186]) ).
fof(f586,plain,
spl22_30,
inference(avatar_split_clause,[],[f302,f583]) ).
fof(f302,plain,
aElementOf0(sK7,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f186]) ).
fof(f581,plain,
spl22_29,
inference(avatar_split_clause,[],[f272,f579]) ).
fof(f272,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f180]) ).
fof(f577,plain,
spl22_28,
inference(avatar_split_clause,[],[f262,f574]) ).
fof(f262,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f83]) ).
fof(f572,plain,
( ~ spl22_13
| ~ spl22_27 ),
inference(avatar_split_clause,[],[f421,f569,f500]) ).
fof(f421,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f350]) ).
fof(f350,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f567,plain,
spl22_26,
inference(avatar_split_clause,[],[f306,f564]) ).
fof(f306,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(f562,plain,
spl22_25,
inference(avatar_split_clause,[],[f285,f559]) ).
fof(f285,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f186]) ).
fof(f557,plain,
spl22_24,
inference(avatar_split_clause,[],[f277,f554]) ).
fof(f277,plain,
aSet0(slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f186]) ).
fof(f552,plain,
spl22_23,
inference(avatar_split_clause,[],[f266,f549]) ).
fof(f266,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f180]) ).
fof(f547,plain,
spl22_22,
inference(avatar_split_clause,[],[f257,f544]) ).
fof(f257,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f542,plain,
spl22_21,
inference(avatar_split_clause,[],[f426,f540]) ).
fof(f426,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f366]) ).
fof(f366,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f218]) ).
fof(f538,plain,
spl22_20,
inference(avatar_split_clause,[],[f305,f535]) ).
fof(f305,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f533,plain,
~ spl22_19,
inference(avatar_split_clause,[],[f265,f530]) ).
fof(f265,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f528,plain,
spl22_18,
inference(avatar_split_clause,[],[f260,f525]) ).
fof(f260,plain,
aSubsetOf0(xQ,xS),
inference(cnf_transformation,[],[f83]) ).
fof(f523,plain,
spl22_17,
inference(avatar_split_clause,[],[f254,f520]) ).
fof(f254,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).
fof(f518,plain,
spl22_16,
inference(avatar_split_clause,[],[f252,f515]) ).
fof(f252,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f513,plain,
spl22_15,
inference(avatar_split_clause,[],[f251,f510]) ).
fof(f251,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).
fof(f508,plain,
~ spl22_14,
inference(avatar_split_clause,[],[f249,f505]) ).
fof(f249,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
fof(f503,plain,
spl22_13,
inference(avatar_split_clause,[],[f427,f500]) ).
fof(f427,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f365]) ).
fof(f365,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f218]) ).
fof(f498,plain,
spl22_12,
inference(avatar_split_clause,[],[f308,f495]) ).
fof(f308,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f493,plain,
spl22_11,
inference(avatar_split_clause,[],[f307,f490]) ).
fof(f307,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f488,plain,
spl22_10,
inference(avatar_split_clause,[],[f304,f485]) ).
fof(f304,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f483,plain,
spl22_9,
inference(avatar_split_clause,[],[f271,f480]) ).
fof(f271,plain,
aSet0(xP),
inference(cnf_transformation,[],[f180]) ).
fof(f478,plain,
spl22_8,
inference(avatar_split_clause,[],[f264,f475]) ).
fof(f475,plain,
( spl22_8
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f264,plain,
aSet0(xT),
inference(cnf_transformation,[],[f62]) ).
fof(f473,plain,
spl22_7,
inference(avatar_split_clause,[],[f263,f470]) ).
fof(f263,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f468,plain,
spl22_6,
inference(avatar_split_clause,[],[f256,f465]) ).
fof(f256,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f463,plain,
spl22_5,
inference(avatar_split_clause,[],[f255,f460]) ).
fof(f255,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f458,plain,
spl22_4,
inference(avatar_split_clause,[],[f253,f455]) ).
fof(f253,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f453,plain,
( spl22_2
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f245,f450,f446]) ).
fof(f245,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK6,xP) ),
inference(cnf_transformation,[],[f178]) ).
fof(f444,plain,
~ spl22_1,
inference(avatar_split_clause,[],[f248,f441]) ).
fof(f248,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM554+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:32:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (25537)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (25540)WARNING: value z3 for option sas not known
% 0.15/0.38 % (25541)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (25538)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (25542)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)
% 0.15/0.38 % (25539)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (25543)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)
% 0.15/0.38 % (25544)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)
% 0.15/0.38 % (25540)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.49 TRYING [5]
% 0.22/0.50 TRYING [5]
% 1.32/0.58 TRYING [6]
% 1.32/0.60 TRYING [1]
% 1.32/0.60 TRYING [2]
% 1.32/0.61 TRYING [6]
% 1.32/0.61 TRYING [3]
% 1.32/0.63 TRYING [4]
% 2.00/0.69 TRYING [5]
% 2.43/0.73 % (25542)First to succeed.
% 2.43/0.75 % (25542)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25537"
% 2.43/0.75 % (25542)Refutation found. Thanks to Tanya!
% 2.43/0.75 % SZS status Theorem for theBenchmark
% 2.43/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.85/0.76 % (25542)------------------------------
% 2.85/0.76 % (25542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.85/0.76 % (25542)Termination reason: Refutation
% 2.85/0.76
% 2.85/0.76 % (25542)Memory used [KB]: 7727
% 2.85/0.76 % (25542)Time elapsed: 0.367 s
% 2.85/0.76 % (25542)Instructions burned: 900 (million)
% 2.85/0.76 % (25537)Success in time 0.386 s
%------------------------------------------------------------------------------