TSTP Solution File: NUM582+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM582+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:34:31 EDT 2024
% Result : Theorem 4.47s 1.03s
% Output : Refutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 954
% Syntax : Number of formulae : 3118 ( 305 unt; 0 def)
% Number of atoms : 13089 (1248 equ)
% Maximal formula atoms : 41 ( 4 avg)
% Number of connectives : 16922 (6951 ~;7890 |; 966 &)
% ( 917 <=>; 198 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 854 ( 852 usr; 821 prp; 0-4 aty)
% Number of functors : 57 ( 57 usr; 12 con; 0-4 aty)
% Number of variables : 4277 (4119 !; 158 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18163,plain,
$false,
inference(avatar_sat_refutation,[],[f697,f702,f707,f712,f717,f722,f727,f732,f737,f742,f747,f752,f757,f762,f767,f772,f777,f782,f787,f792,f796,f801,f806,f811,f815,f819,f823,f828,f833,f838,f843,f847,f851,f855,f859,f863,f873,f878,f883,f887,f892,f896,f900,f904,f908,f912,f916,f920,f924,f929,f933,f938,f943,f961,f969,f974,f978,f982,f989,f993,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1025,f1029,f1033,f1037,f1041,f1074,f1078,f1083,f1087,f1094,f1098,f1102,f1106,f1110,f1114,f1118,f1122,f1126,f1130,f1163,f1168,f1173,f1174,f1181,f1185,f1189,f1193,f1197,f1201,f1205,f1209,f1213,f1217,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1249,f1279,f1303,f1307,f1312,f1320,f1324,f1328,f1332,f1336,f1340,f1345,f1349,f1353,f1357,f1361,f1365,f1369,f1373,f1377,f1381,f1409,f1436,f1440,f1444,f1448,f1452,f1461,f1477,f1481,f1485,f1489,f1493,f1497,f1502,f1506,f1510,f1514,f1518,f1557,f1561,f1566,f1570,f1574,f1582,f1604,f1608,f1612,f1616,f1620,f1624,f1628,f1632,f1636,f1640,f1644,f1648,f1652,f1656,f1669,f1735,f1763,f1767,f1772,f1785,f1789,f1794,f1798,f1802,f1806,f1810,f1814,f1818,f1822,f1826,f1853,f1857,f1861,f1865,f1869,f1897,f1901,f1905,f1909,f1913,f1917,f1921,f1925,f1929,f1933,f1937,f1941,f1946,f1950,f1954,f2023,f2067,f2077,f2081,f2096,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2160,f2164,f2184,f2408,f2417,f2422,f2439,f2443,f2447,f2569,f2580,f2619,f2623,f2627,f2631,f2635,f2639,f2643,f2648,f2739,f2747,f2751,f2755,f2759,f2763,f2767,f2771,f2775,f2779,f2783,f2787,f3024,f3048,f3052,f3056,f3060,f3180,f3206,f3210,f3214,f3218,f3222,f3271,f3322,f3326,f3330,f3360,f3364,f3368,f3372,f3455,f3471,f3476,f3519,f3524,f3528,f3532,f3536,f3540,f3541,f3582,f3586,f3608,f3612,f3617,f3626,f3631,f3636,f3641,f3646,f3655,f3660,f3665,f3688,f3696,f3711,f3723,f3793,f3800,f3805,f3810,f3815,f3820,f3825,f3834,f3839,f3844,f3849,f3853,f3860,f3864,f3868,f3942,f3951,f3957,f3964,f3969,f3977,f3987,f3997,f4002,f4007,f4020,f4025,f4036,f4047,f4068,f4074,f4115,f4120,f4128,f4132,f4137,f4141,f4145,f4149,f4153,f4157,f4161,f4182,f4211,f4217,f4222,f4234,f4247,f4264,f4273,f4278,f4316,f4344,f4378,f4387,f4391,f4395,f4441,f4446,f4477,f4481,f4551,f4557,f4561,f4566,f4664,f4745,f4797,f4813,f4819,f4824,f4838,f4843,f4864,f4868,f4872,f4876,f4880,f4885,f4894,f4903,f4911,f5058,f5062,f5066,f5070,f5074,f5078,f5082,f5086,f5091,f5143,f5150,f5203,f5207,f5212,f5216,f5220,f5225,f5234,f5239,f5243,f5247,f5409,f5413,f5418,f5427,f5432,f5443,f5452,f5460,f5464,f5469,f5473,f5477,f5481,f5485,f5489,f5493,f5497,f5501,f5543,f5555,f5790,f5803,f5808,f5812,f5813,f5817,f5821,f5839,f5843,f5847,f5851,f5855,f6115,f6119,f6148,f6152,f6156,f6160,f6164,f6168,f6172,f6176,f6180,f6194,f6198,f6202,f6218,f6222,f6256,f6261,f6453,f6464,f6468,f6474,f6525,f6529,f6537,f6564,f6568,f6572,f6576,f6580,f6584,f6588,f6592,f6596,f6652,f6871,f6876,f6917,f6928,f6939,f6954,f6967,f6982,f6987,f7003,f7008,f7012,f7016,f7020,f7024,f7028,f7029,f7039,f7049,f7056,f7060,f7064,f7084,f7088,f7220,f7224,f7228,f7266,f7276,f7287,f7291,f7322,f7326,f7330,f7435,f7439,f7443,f7447,f7451,f7455,f7459,f7463,f7467,f7471,f7477,f7481,f7485,f7766,f7770,f7774,f7778,f7782,f7790,f7820,f7827,f7912,f7917,f7990,f7994,f7998,f8002,f8006,f8007,f8011,f8015,f8019,f8023,f8027,f8031,f8035,f8039,f8043,f8047,f8051,f8055,f8059,f8063,f8067,f8071,f8075,f8079,f8083,f8677,f8681,f8685,f8689,f8693,f8697,f8716,f8721,f8728,f9154,f9202,f9430,f9620,f9624,f9628,f9632,f9636,f9640,f9644,f9648,f9652,f9656,f9660,f9664,f9668,f9672,f9676,f9680,f9684,f9697,f9701,f9706,f9710,f9714,f9794,f9799,f10520,f10526,f10530,f10531,f10535,f10539,f10543,f10599,f10604,f10609,f10628,f10651,f10802,f10806,f10810,f10814,f10818,f10822,f10826,f10830,f10834,f10838,f10842,f10846,f10851,f10855,f10859,f10864,f10869,f10873,f10889,f11345,f11352,f11356,f11360,f11365,f11369,f11383,f11387,f11391,f11395,f11399,f11403,f11438,f11981,f11986,f11990,f11994,f11998,f12002,f12006,f12010,f12014,f12018,f12022,f12026,f12030,f12034,f12038,f12042,f12346,f12353,f12362,f12367,f12371,f12375,f12379,f12383,f12387,f12391,f12395,f12399,f12403,f12407,f12471,f12844,f12848,f12852,f12856,f12860,f12864,f12868,f12872,f12876,f12880,f12884,f12915,f12919,f12923,f12927,f12931,f12935,f12939,f12943,f12967,f13487,f13523,f13527,f13531,f13535,f13539,f13543,f13817,f13821,f13825,f13829,f13833,f13837,f13841,f13845,f13849,f14044,f14049,f14062,f14066,f14071,f14075,f14079,f14083,f14087,f14099,f14108,f14557,f14561,f14616,f14620,f14624,f14628,f14632,f14636,f14640,f14644,f14648,f14652,f14657,f14661,f14668,f14672,f14676,f14680,f14757,f15537,f15541,f15545,f15549,f15553,f15636,f16093,f16097,f16101,f16105,f16109,f16113,f16117,f16121,f16125,f16129,f16133,f16137,f16141,f16145,f16149,f16153,f16158,f16163,f16167,f16860,f16865,f16869,f16873,f16878,f16882,f16886,f16890,f16894,f16898,f16906,f17427,f17431,f17435,f17439,f17443,f17447,f17451,f17455,f17459,f17463,f17467,f17471,f17475,f17479,f17483,f17487,f17491,f17495,f17528,f18088,f18094,f18098,f18102,f18108,f18112,f18116,f18122,f18126,f18130,f18162]) ).
fof(f18162,plain,
( ~ spl55_298
| ~ spl55_17
| spl55_3
| ~ spl55_516 ),
inference(avatar_split_clause,[],[f7277,f7274,f704,f774,f3662]) ).
fof(f3662,plain,
( spl55_298
<=> sdtlseqdt0(sz00,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_298])]) ).
fof(f774,plain,
( spl55_17
<=> aElementOf0(xi,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f704,plain,
( spl55_3
<=> aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).
fof(f7274,plain,
( spl55_516
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_516])]) ).
fof(f7277,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(sz00,xi)
| spl55_3
| ~ spl55_516 ),
inference(resolution,[],[f7275,f706]) ).
fof(f706,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| spl55_3 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f7275,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl55_516 ),
inference(avatar_component_clause,[],[f7274]) ).
fof(f18130,plain,
( spl55_820
| ~ spl55_110
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2826,f2753,f1301,f18128]) ).
fof(f18128,plain,
( spl55_820
<=> ! [X2,X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK38(X0,szDzozmdt0(xc),X1))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_820])]) ).
fof(f1301,plain,
( spl55_110
<=> ! [X6,X4] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_110])]) ).
fof(f2753,plain,
( spl55_247
<=> ! [X2,X0,X1] :
( sP13(X0,X1,X2)
| aElementOf0(sK38(X0,X1,X2),X1)
| aElementOf0(sK37(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_247])]) ).
fof(f2826,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK38(X0,szDzozmdt0(xc),X1))
| aElementOf0(X2,xS) )
| ~ spl55_110
| ~ spl55_247 ),
inference(resolution,[],[f2754,f1302]) ).
fof(f1302,plain,
( ! [X6,X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| ~ aElementOf0(X6,X4)
| aElementOf0(X6,xS) )
| ~ spl55_110 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f2754,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK38(X0,X1,X2),X1)
| aElementOf0(sK37(X0,X1,X2),X2)
| sP13(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_247 ),
inference(avatar_component_clause,[],[f2753]) ).
fof(f18126,plain,
( spl55_819
| ~ spl55_186
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2534,f2441,f1863,f18124]) ).
fof(f18124,plain,
( spl55_819
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK51(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_819])]) ).
fof(f1863,plain,
( spl55_186
<=> ! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK34(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_186])]) ).
fof(f2441,plain,
( spl55_232
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aElementOf0(sK51(X0,X1,X2),X1)
| aElementOf0(sK51(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_232])]) ).
fof(f2534,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK51(X0,szNzAzT0,X1)) )
| ~ spl55_186
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1864]) ).
fof(f1864,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| aElementOf0(sK34(X1),X1)
| ~ aSet0(X1)
| sP9(X1,X0) )
| ~ spl55_186 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f2442,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,X2),X2)
| aElementOf0(sK51(X0,X1,X2),X1)
| sP20(X0,X1,X2) )
| ~ spl55_232 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f18122,plain,
( spl55_818
| ~ spl55_186
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2504,f2441,f1863,f18120]) ).
fof(f18120,plain,
( spl55_818
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_818])]) ).
fof(f2504,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK51(X0,X1,szNzAzT0)) )
| ~ spl55_186
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1864]) ).
fof(f18116,plain,
( spl55_817
| ~ spl55_88
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2342,f2130,f1161,f18114]) ).
fof(f18114,plain,
( spl55_817
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))))
| sP20(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK51(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_817])]) ).
fof(f1161,plain,
( spl55_88
<=> ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_88])]) ).
fof(f2130,plain,
( spl55_216
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aElement0(sK51(X0,X1,X2))
| aElementOf0(sK51(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_216])]) ).
fof(f2342,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))))
| sP20(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK51(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) )
| ~ spl55_88
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1162]) ).
fof(f1162,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) )
| ~ spl55_88 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f2131,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,X2),X2)
| aElement0(sK51(X0,X1,X2))
| sP20(X0,X1,X2) )
| ~ spl55_216 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f18112,plain,
( spl55_816
| ~ spl55_133
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2339,f2130,f1446,f18110]) ).
fof(f18110,plain,
( spl55_816
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,sdtlpdtrp0(xN,X2)))
| sP20(X0,X1,sdtlpdtrp0(xN,X2))
| aElementOf0(sK51(X0,X1,sdtlpdtrp0(xN,X2)),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_816])]) ).
fof(f1446,plain,
( spl55_133
<=> ! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_133])]) ).
fof(f2339,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,sdtlpdtrp0(xN,X2)))
| sP20(X0,X1,sdtlpdtrp0(xN,X2))
| aElementOf0(sK51(X0,X1,sdtlpdtrp0(xN,X2)),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl55_133
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1447]) ).
fof(f1447,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_133 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f18108,plain,
( spl55_815
| ~ spl55_150
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2332,f2130,f1568,f18106]) ).
fof(f18106,plain,
( spl55_815
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sK51(X0,X1,szNzAzT0) = X2
| sP10(X2,sK51(X0,X1,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_815])]) ).
fof(f1568,plain,
( spl55_150
<=> ! [X0,X1] :
( sP10(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_150])]) ).
fof(f2332,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sK51(X0,X1,szNzAzT0) = X2
| sP10(X2,sK51(X0,X1,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl55_150
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1569]) ).
fof(f1569,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| sP10(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_150 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f18102,plain,
( spl55_814
| ~ spl55_88
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2303,f2118,f1161,f18100]) ).
fof(f18100,plain,
( spl55_814
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))))
| sP19(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK50(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_814])]) ).
fof(f2118,plain,
( spl55_213
<=> ! [X2,X0,X1] :
( sP19(X0,X1,X2)
| aElement0(sK50(X0,X1,X2))
| aElementOf0(sK50(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_213])]) ).
fof(f2303,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))))
| sP19(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK50(X0,X1,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) )
| ~ spl55_88
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1162]) ).
fof(f2119,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK50(X0,X1,X2),X2)
| aElement0(sK50(X0,X1,X2))
| sP19(X0,X1,X2) )
| ~ spl55_213 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f18098,plain,
( spl55_813
| ~ spl55_133
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2300,f2118,f1446,f18096]) ).
fof(f18096,plain,
( spl55_813
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,sdtlpdtrp0(xN,X2)))
| sP19(X0,X1,sdtlpdtrp0(xN,X2))
| aElementOf0(sK50(X0,X1,sdtlpdtrp0(xN,X2)),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_813])]) ).
fof(f2300,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,sdtlpdtrp0(xN,X2)))
| sP19(X0,X1,sdtlpdtrp0(xN,X2))
| aElementOf0(sK50(X0,X1,sdtlpdtrp0(xN,X2)),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl55_133
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1447]) ).
fof(f18094,plain,
( spl55_812
| ~ spl55_150
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2293,f2118,f1568,f18092]) ).
fof(f18092,plain,
( spl55_812
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sK50(X0,X1,szNzAzT0) = X2
| sP10(X2,sK50(X0,X1,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_812])]) ).
fof(f2293,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sK50(X0,X1,szNzAzT0) = X2
| sP10(X2,sK50(X0,X1,szNzAzT0))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl55_150
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1569]) ).
fof(f18088,plain,
( spl55_809
| ~ spl55_810
| spl55_811
| ~ spl55_111
| ~ spl55_126 ),
inference(avatar_split_clause,[],[f1413,f1371,f1305,f18085,f18081,f18077]) ).
fof(f18077,plain,
( spl55_809
<=> aElement0(szmzizndt0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_809])]) ).
fof(f18081,plain,
( spl55_810
<=> aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_810])]) ).
fof(f18085,plain,
( spl55_811
<=> slcrc0 = sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_811])]) ).
fof(f1305,plain,
( spl55_111
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_111])]) ).
fof(f1371,plain,
( spl55_126
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_126])]) ).
fof(f1413,plain,
( slcrc0 = sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szNzAzT0)
| aElement0(szmzizndt0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| ~ spl55_111
| ~ spl55_126 ),
inference(resolution,[],[f1372,f1306]) ).
fof(f1306,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(X0) )
| ~ spl55_111 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1372,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_126 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f17528,plain,
( spl55_807
| spl55_808
| ~ spl55_142
| ~ spl55_473 ),
inference(avatar_split_clause,[],[f6487,f6472,f1499,f17525,f17521]) ).
fof(f17521,plain,
( spl55_807
<=> sdtlseqdt0(sK23,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_807])]) ).
fof(f17525,plain,
( spl55_808
<=> sdtlseqdt0(xK,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_808])]) ).
fof(f1499,plain,
( spl55_142
<=> aElementOf0(sK23,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_142])]) ).
fof(f6472,plain,
( spl55_473
<=> ! [X0] :
( sdtlseqdt0(xK,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_473])]) ).
fof(f6487,plain,
( sdtlseqdt0(xK,sK23)
| sdtlseqdt0(sK23,xk)
| ~ spl55_142
| ~ spl55_473 ),
inference(resolution,[],[f6473,f1501]) ).
fof(f1501,plain,
( aElementOf0(sK23,szNzAzT0)
| ~ spl55_142 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f6473,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk) )
| ~ spl55_473 ),
inference(avatar_component_clause,[],[f6472]) ).
fof(f17495,plain,
( spl55_806
| ~ spl55_179
| ~ spl55_270 ),
inference(avatar_split_clause,[],[f3344,f3324,f1812,f17493]) ).
fof(f17493,plain,
( spl55_806
<=> ! [X0,X1] :
( sP15(X0,X1)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK44(X0,X1))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_806])]) ).
fof(f1812,plain,
( spl55_179
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_179])]) ).
fof(f3324,plain,
( spl55_270
<=> ! [X0,X1] :
( sP15(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_270])]) ).
fof(f3344,plain,
( ! [X0,X1] :
( sP15(X0,X1)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK44(X0,X1))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_179
| ~ spl55_270 ),
inference(duplicate_literal_removal,[],[f3340]) ).
fof(f3340,plain,
( ! [X0,X1] :
( sP15(X0,X1)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1)
| sdtlseqdt0(X0,sK44(X0,X1))
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_179
| ~ spl55_270 ),
inference(resolution,[],[f3325,f1813]) ).
fof(f1813,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_179 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f3325,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) )
| ~ spl55_270 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f17491,plain,
( spl55_805
| ~ spl55_123
| ~ spl55_269 ),
inference(avatar_split_clause,[],[f3338,f3320,f1359,f17489]) ).
fof(f17489,plain,
( spl55_805
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_805])]) ).
fof(f1359,plain,
( spl55_123
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_123])]) ).
fof(f3320,plain,
( spl55_269
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_269])]) ).
fof(f3338,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) )
| ~ spl55_123
| ~ spl55_269 ),
inference(duplicate_literal_removal,[],[f3332]) ).
fof(f3332,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl55_123
| ~ spl55_269 ),
inference(resolution,[],[f3321,f1360]) ).
fof(f1360,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl55_123 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f3321,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl55_269 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f17487,plain,
( spl55_804
| ~ spl55_189
| ~ spl55_255 ),
inference(avatar_split_clause,[],[f3016,f2785,f1899,f17485]) ).
fof(f17485,plain,
( spl55_804
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK29(sK28(sbrdtbr0(X0),X1,X2,X3),X0),X0)
| ~ aSet0(X0)
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(sbrdtbr0(X0),X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_804])]) ).
fof(f1899,plain,
( spl55_189
<=> ! [X0,X3,X2,X1] :
( sP6(X2,X1,X0,sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_189])]) ).
fof(f2785,plain,
( spl55_255
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK29(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_255])]) ).
fof(f3016,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK29(sK28(sbrdtbr0(X0),X1,X2,X3),X0),X0)
| ~ aSet0(X0)
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(sbrdtbr0(X0),X1,X2,X3) )
| ~ spl55_189
| ~ spl55_255 ),
inference(resolution,[],[f2786,f1900]) ).
fof(f1900,plain,
( ! [X2,X3,X0,X1] :
( sP6(X2,X1,X0,sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) )
| ~ spl55_189 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f2786,plain,
( ! [X3,X0,X1,X4] :
( ~ sP6(X0,X1,sbrdtbr0(X4),X3)
| aElementOf0(sK29(X3,X4),X4)
| ~ aSet0(X4)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl55_255 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f17483,plain,
( spl55_803
| ~ spl55_179
| ~ spl55_253 ),
inference(avatar_split_clause,[],[f3008,f2777,f1812,f17481]) ).
fof(f17481,plain,
( spl55_803
<=> ! [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,[spl55_803])]) ).
fof(f2777,plain,
( spl55_253
<=> ! [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,[spl55_253])]) ).
fof(f3008,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) )
| ~ spl55_179
| ~ spl55_253 ),
inference(duplicate_literal_removal,[],[f2999]) ).
fof(f2999,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) )
| ~ spl55_179
| ~ spl55_253 ),
inference(resolution,[],[f2778,f1813]) ).
fof(f2778,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_253 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f17479,plain,
( spl55_802
| ~ spl55_94
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2938,f2769,f1191,f17477]) ).
fof(f17477,plain,
( spl55_802
<=> ! [X2,X0,X1] :
( aElementOf0(sK54(X0,szDzozmdt0(X1),X2),X2)
| sP21(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP12(sK54(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_802])]) ).
fof(f1191,plain,
( spl55_94
<=> ! [X0,X1] :
( sP12(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_94])]) ).
fof(f2769,plain,
( spl55_251
<=> ! [X2,X0,X1] :
( sP21(X0,X1,X2)
| aSubsetOf0(sK54(X0,X1,X2),X1)
| aElementOf0(sK54(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_251])]) ).
fof(f2938,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,szDzozmdt0(X1),X2),X2)
| sP21(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP12(sK54(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) )
| ~ spl55_94
| ~ spl55_251 ),
inference(resolution,[],[f2770,f1192]) ).
fof(f1192,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP12(X1,X0)
| ~ aFunction0(X0) )
| ~ spl55_94 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f2770,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK54(X0,X1,X2),X1)
| aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_251 ),
inference(avatar_component_clause,[],[f2769]) ).
fof(f17475,plain,
( spl55_801
| ~ spl55_95
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2937,f2769,f1195,f17473]) ).
fof(f17473,plain,
( spl55_801
<=> ! [X2,X0,X1] :
( aElementOf0(sK54(X0,szDzozmdt0(X1),X2),X2)
| sP21(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP14(sK54(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_801])]) ).
fof(f1195,plain,
( spl55_95
<=> ! [X0,X1] :
( sP14(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_95])]) ).
fof(f2937,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,szDzozmdt0(X1),X2),X2)
| sP21(X0,szDzozmdt0(X1),X2)
| ~ aSet0(X2)
| sP14(sK54(X0,szDzozmdt0(X1),X2),X1)
| ~ aFunction0(X1) )
| ~ spl55_95
| ~ spl55_251 ),
inference(resolution,[],[f2770,f1196]) ).
fof(f1196,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP14(X1,X0)
| ~ aFunction0(X0) )
| ~ spl55_95 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f17471,plain,
( spl55_800
| ~ spl55_140
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2930,f2769,f1491,f17469]) ).
fof(f17469,plain,
( spl55_800
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,sK54(X0,X1,X2))
| aElementOf0(X3,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_800])]) ).
fof(f1491,plain,
( spl55_140
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_140])]) ).
fof(f2930,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,sK54(X0,X1,X2))
| aElementOf0(X3,X1)
| ~ aSet0(X1) )
| ~ spl55_140
| ~ spl55_251 ),
inference(resolution,[],[f2770,f1492]) ).
fof(f1492,plain,
( ! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) )
| ~ spl55_140 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f17467,plain,
( spl55_799
| ~ spl55_94
| ~ spl55_250 ),
inference(avatar_split_clause,[],[f2922,f2765,f1191,f17465]) ).
fof(f17465,plain,
( spl55_799
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP12(sK53(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_799])]) ).
fof(f2765,plain,
( spl55_250
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK53(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_250])]) ).
fof(f2922,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP12(sK53(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) )
| ~ spl55_94
| ~ spl55_250 ),
inference(resolution,[],[f2766,f1192]) ).
fof(f2766,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK53(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl55_250 ),
inference(avatar_component_clause,[],[f2765]) ).
fof(f17463,plain,
( spl55_798
| ~ spl55_95
| ~ spl55_250 ),
inference(avatar_split_clause,[],[f2921,f2765,f1195,f17461]) ).
fof(f17461,plain,
( spl55_798
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP14(sK53(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_798])]) ).
fof(f2921,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(szDzozmdt0(X1),X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP14(sK53(szDzozmdt0(X1),X2,X0),X1)
| ~ aFunction0(X1) )
| ~ spl55_95
| ~ spl55_250 ),
inference(resolution,[],[f2766,f1196]) ).
fof(f17459,plain,
( spl55_797
| ~ spl55_159
| ~ spl55_240 ),
inference(avatar_split_clause,[],[f2715,f2633,f1626,f17457]) ).
fof(f17457,plain,
( spl55_797
<=> ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK42(X0,X1)))
| ~ aElement0(sK42(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_797])]) ).
fof(f1626,plain,
( spl55_159
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK42(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_159])]) ).
fof(f2633,plain,
( spl55_240
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_240])]) ).
fof(f2715,plain,
( ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK42(X0,X1)))
| ~ aElement0(sK42(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) )
| ~ spl55_159
| ~ spl55_240 ),
inference(duplicate_literal_removal,[],[f2714]) ).
fof(f2714,plain,
( ! [X0,X1] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(sdtpldt0(X0,sK42(X0,X1)))
| ~ aElement0(sK42(X0,X1))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_159
| ~ spl55_240 ),
inference(resolution,[],[f2634,f1627]) ).
fof(f1627,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK42(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_159 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f2634,plain,
( ! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_240 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f17455,plain,
( spl55_796
| ~ spl55_211
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2484,f2437,f2110,f17453]) ).
fof(f17453,plain,
( spl55_796
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK44(X0,X1))))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_796])]) ).
fof(f2110,plain,
( spl55_211
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_211])]) ).
fof(f2437,plain,
( spl55_231
<=> ! [X0,X1] :
( sP15(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_231])]) ).
fof(f2484,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK44(X0,X1))))
| ~ isFinite0(X1) )
| ~ spl55_211
| ~ spl55_231 ),
inference(duplicate_literal_removal,[],[f2452]) ).
fof(f2452,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK44(X0,X1))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_211
| ~ spl55_231 ),
inference(resolution,[],[f2438,f2111]) ).
fof(f2111,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_211 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f2438,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1) )
| ~ spl55_231 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f17451,plain,
( spl55_795
| ~ spl55_114
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2473,f2437,f1322,f17449]) ).
fof(f17449,plain,
( spl55_795
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,szDzozmdt0(X1))),X0)
| sP15(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK44(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_795])]) ).
fof(f1322,plain,
( spl55_114
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_114])]) ).
fof(f2473,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,szDzozmdt0(X1))),X0)
| sP15(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK44(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) )
| ~ spl55_114
| ~ spl55_231 ),
inference(resolution,[],[f2438,f1323]) ).
fof(f1323,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl55_114 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f17447,plain,
( spl55_794
| ~ spl55_176
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2449,f2437,f1800,f17445]) ).
fof(f17445,plain,
( spl55_794
<=> ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK44(X0,X1),X2)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ sP15(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_794])]) ).
fof(f1800,plain,
( spl55_176
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_176])]) ).
fof(f2449,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK44(X0,X1),X2)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ sP15(X0,X2) )
| ~ spl55_176
| ~ spl55_231 ),
inference(resolution,[],[f2438,f1801]) ).
fof(f1801,plain,
( ! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP15(X0,X1) )
| ~ spl55_176 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f17443,plain,
( spl55_793
| ~ spl55_87
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2202,f2110,f1128,f17441]) ).
fof(f17441,plain,
( spl55_793
<=> ! [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,[spl55_793])]) ).
fof(f1128,plain,
( spl55_87
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_87])]) ).
fof(f2202,plain,
( ! [X0] :
( sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) = szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_87
| ~ spl55_211 ),
inference(resolution,[],[f2111,f1129]) ).
fof(f1129,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_87 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f17439,plain,
( spl55_792
| ~ spl55_101
| ~ spl55_190 ),
inference(avatar_split_clause,[],[f1966,f1903,f1219,f17437]) ).
fof(f17437,plain,
( spl55_792
<=> ! [X0] :
( aElementOf0(sK31(X0,sK48(sdtlcdtrc0(X0,szDzozmdt0(X0)))),szDzozmdt0(X0))
| ~ sP4(X0)
| slcrc0 = sdtlcdtrc0(X0,szDzozmdt0(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_792])]) ).
fof(f1219,plain,
( spl55_101
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK48(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_101])]) ).
fof(f1903,plain,
( spl55_190
<=> ! [X0,X1] :
( aElementOf0(sK31(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_190])]) ).
fof(f1966,plain,
( ! [X0] :
( aElementOf0(sK31(X0,sK48(sdtlcdtrc0(X0,szDzozmdt0(X0)))),szDzozmdt0(X0))
| ~ sP4(X0)
| slcrc0 = sdtlcdtrc0(X0,szDzozmdt0(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ spl55_101
| ~ spl55_190 ),
inference(resolution,[],[f1904,f1220]) ).
fof(f1220,plain,
( ! [X0] :
( aElementOf0(sK48(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl55_101 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1904,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElementOf0(sK31(X0,X1),szDzozmdt0(X0))
| ~ sP4(X0) )
| ~ spl55_190 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f17435,plain,
( spl55_791
| ~ spl55_123
| ~ spl55_178 ),
inference(avatar_split_clause,[],[f1836,f1808,f1359,f17433]) ).
fof(f17433,plain,
( spl55_791
<=> ! [X0,X1] :
( szDzozmdt0(X0) = sdtlbdtrb0(X0,X1)
| ~ aSubsetOf0(szDzozmdt0(X0),sdtlbdtrb0(X0,X1))
| ~ aSet0(sdtlbdtrb0(X0,X1))
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_791])]) ).
fof(f1808,plain,
( spl55_178
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_178])]) ).
fof(f1836,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) = sdtlbdtrb0(X0,X1)
| ~ aSubsetOf0(szDzozmdt0(X0),sdtlbdtrb0(X0,X1))
| ~ aSet0(sdtlbdtrb0(X0,X1))
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl55_123
| ~ spl55_178 ),
inference(resolution,[],[f1809,f1360]) ).
fof(f1809,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_178 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f17431,plain,
( spl55_790
| ~ spl55_113
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1677,f1614,f1318,f17429]) ).
fof(f17429,plain,
( spl55_790
<=> ! [X0] :
( sdtlpdtrp0(xN,X0) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_790])]) ).
fof(f1318,plain,
( spl55_113
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_113])]) ).
fof(f1614,plain,
( spl55_156
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_156])]) ).
fof(f1677,plain,
( ! [X0] :
( sdtlpdtrp0(xN,X0) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sP1(X0) )
| ~ spl55_113
| ~ spl55_156 ),
inference(resolution,[],[f1615,f1319]) ).
fof(f1319,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP1(X0) )
| ~ spl55_113 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1615,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl55_156 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f17427,plain,
( ~ spl55_789
| ~ spl55_17
| spl55_3
| ~ spl55_356 ),
inference(avatar_split_clause,[],[f5545,f4232,f704,f774,f17424]) ).
fof(f17424,plain,
( spl55_789
<=> sdtlseqdt0(sK23,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_789])]) ).
fof(f4232,plain,
( spl55_356
<=> ! [X0] :
( ~ sdtlseqdt0(sK23,X0)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_356])]) ).
fof(f5545,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(sK23,xi)
| spl55_3
| ~ spl55_356 ),
inference(resolution,[],[f4233,f706]) ).
fof(f4233,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sK23,X0) )
| ~ spl55_356 ),
inference(avatar_component_clause,[],[f4232]) ).
fof(f16906,plain,
( spl55_788
| ~ spl55_148
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2348,f2130,f1559,f16904]) ).
fof(f16904,plain,
( spl55_788
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP20(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_788])]) ).
fof(f1559,plain,
( spl55_148
<=> ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_148])]) ).
fof(f2348,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP20(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ spl55_148
| ~ spl55_216 ),
inference(duplicate_literal_removal,[],[f2323]) ).
fof(f2323,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP20(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(sK51(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))) )
| ~ spl55_148
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1560]) ).
fof(f1560,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(X1) )
| ~ spl55_148 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f16898,plain,
( spl55_787
| ~ spl55_186
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2333,f2130,f1863,f16896]) ).
fof(f16896,plain,
( spl55_787
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_787])]) ).
fof(f2333,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK51(X0,X1,szNzAzT0)) )
| ~ spl55_186
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1864]) ).
fof(f16894,plain,
( spl55_786
| ~ spl55_148
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2309,f2118,f1559,f16892]) ).
fof(f16892,plain,
( spl55_786
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP19(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_786])]) ).
fof(f2309,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP19(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ spl55_148
| ~ spl55_213 ),
inference(duplicate_literal_removal,[],[f2284]) ).
fof(f2284,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP19(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(sK50(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))) )
| ~ spl55_148
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1560]) ).
fof(f16890,plain,
( spl55_785
| ~ spl55_186
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2294,f2118,f1863,f16888]) ).
fof(f16888,plain,
( spl55_785
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK50(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_785])]) ).
fof(f2294,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK50(X0,X1,szNzAzT0)) )
| ~ spl55_186
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1864]) ).
fof(f16886,plain,
( spl55_784
| ~ spl55_186
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2237,f2114,f1863,f16884]) ).
fof(f16884,plain,
( spl55_784
<=> ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK44(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_784])]) ).
fof(f2114,plain,
( spl55_212
<=> ! [X0,X1] :
( sP15(X0,X1)
| aElementOf0(sK44(X0,X1),szNzAzT0)
| aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_212])]) ).
fof(f2237,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| ~ isCountable0(X2)
| aElementOf0(sK34(X2),X2)
| ~ aSet0(X2)
| sP9(X2,sK44(X0,X1)) )
| ~ spl55_186
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1864]) ).
fof(f2115,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1) )
| ~ spl55_212 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f16882,plain,
( spl55_783
| ~ spl55_150
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2236,f2114,f1568,f16880]) ).
fof(f16880,plain,
( spl55_783
<=> ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sK44(X0,X1) = X2
| sP10(X2,sK44(X0,X1))
| ~ aElementOf0(X2,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_783])]) ).
fof(f2236,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sK44(X0,X1) = X2
| sP10(X2,sK44(X0,X1))
| ~ aElementOf0(X2,szNzAzT0) )
| ~ spl55_150
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1569]) ).
fof(f16878,plain,
( spl55_782
| ~ spl55_89
| ~ spl55_201 ),
inference(avatar_split_clause,[],[f2052,f1948,f1165,f16876]) ).
fof(f16876,plain,
( spl55_782
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,xK,X2)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X2)
| sdtlpdtrp0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_782])]) ).
fof(f1165,plain,
( spl55_89
<=> xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_89])]) ).
fof(f1948,plain,
( spl55_201
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_201])]) ).
fof(f2052,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,xK,X2)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X2)
| sdtlpdtrp0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = X0 )
| ~ spl55_89
| ~ spl55_201 ),
inference(superposition,[],[f1949,f1167]) ).
fof(f1167,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ spl55_89 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1949,plain,
( ! [X3,X0,X1,X4] :
( ~ sP6(X0,X1,sbrdtbr0(X4),X3)
| ~ aSubsetOf0(X4,X3)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl55_201 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f16873,plain,
( ~ spl55_30
| spl55_781
| ~ spl55_88
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2004,f1919,f1161,f16871,f835]) ).
fof(f835,plain,
( spl55_30
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_30])]) ).
fof(f16871,plain,
( spl55_781
<=> ! [X0] :
( sdtlcdtrc0(xc,szDzozmdt0(xc)) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0),X0)
| aElementOf0(X0,xT)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_781])]) ).
fof(f1919,plain,
( spl55_194
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_194])]) ).
fof(f2004,plain,
( ! [X0] :
( sdtlcdtrc0(xc,szDzozmdt0(xc)) = sdtmndt0(sdtpldt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0),X0)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElement0(X0)
| aElementOf0(X0,xT) )
| ~ spl55_88
| ~ spl55_194 ),
inference(resolution,[],[f1920,f1162]) ).
fof(f1920,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl55_194 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f16869,plain,
( spl55_780
| ~ spl55_133
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2001,f1919,f1446,f16867]) ).
fof(f16867,plain,
( spl55_780
<=> ! [X0,X1] :
( sdtlpdtrp0(xN,X0) = sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,X0),X1),X1)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_780])]) ).
fof(f2001,plain,
( ! [X0,X1] :
( sdtlpdtrp0(xN,X0) = sdtmndt0(sdtpldt0(sdtlpdtrp0(xN,X0),X1),X1)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_133
| ~ spl55_194 ),
inference(resolution,[],[f1920,f1447]) ).
fof(f16865,plain,
( spl55_779
| ~ spl55_133
| ~ spl55_166 ),
inference(avatar_split_clause,[],[f1755,f1654,f1446,f16863]) ).
fof(f16863,plain,
( spl55_779
<=> ! [X0] :
( slcrc0 = sdtlpdtrp0(xN,X0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(szmzazxdt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_779])]) ).
fof(f1654,plain,
( spl55_166
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_166])]) ).
fof(f1755,plain,
( ! [X0] :
( slcrc0 = sdtlpdtrp0(xN,X0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(szmzazxdt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_133
| ~ spl55_166 ),
inference(resolution,[],[f1655,f1447]) ).
fof(f1655,plain,
( ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_166 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f16860,plain,
( ~ spl55_30
| spl55_778
| ~ spl55_131
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1717,f1622,f1438,f16858,f835]) ).
fof(f16858,plain,
( spl55_778
<=> ! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| aElementOf0(sK24(sK42(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_778])]) ).
fof(f1438,plain,
( spl55_131
<=> ! [X1] :
( aElementOf0(sK24(X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_131])]) ).
fof(f1622,plain,
( spl55_158
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK42(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_158])]) ).
fof(f1717,plain,
( ! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0)
| aElementOf0(sK24(sK42(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) )
| ~ spl55_131
| ~ spl55_158 ),
inference(resolution,[],[f1623,f1439]) ).
fof(f1439,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK24(X1),szDzozmdt0(xc)) )
| ~ spl55_131 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f1623,plain,
( ! [X0,X1] :
( aElementOf0(sK42(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_158 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f16167,plain,
( spl55_777
| ~ spl55_63
| ~ spl55_277 ),
inference(avatar_split_clause,[],[f3513,f3469,f1003,f16165]) ).
fof(f16165,plain,
( spl55_777
<=> ! [X2,X0,X1] :
( sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK37(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_777])]) ).
fof(f1003,plain,
( spl55_63
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_63])]) ).
fof(f3469,plain,
( spl55_277
<=> ! [X2,X0,X1] :
( sP13(X0,X1,X2)
| sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
| aElementOf0(sK37(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_277])]) ).
fof(f3513,plain,
( ! [X2,X0,X1] :
( sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK37(X0,X1,X2)) )
| ~ spl55_63
| ~ spl55_277 ),
inference(duplicate_literal_removal,[],[f3479]) ).
fof(f3479,plain,
( ! [X2,X0,X1] :
( sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK37(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_277 ),
inference(resolution,[],[f3470,f1004]) ).
fof(f1004,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl55_63 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f3470,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK37(X0,X1,X2),X2)
| sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
| sP13(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_277 ),
inference(avatar_component_clause,[],[f3469]) ).
fof(f16163,plain,
( spl55_776
| ~ spl55_47
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3425,f3366,f914,f16161]) ).
fof(f16161,plain,
( spl55_776
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,szNzAzT0,X1),X1)
| sK50(X0,szNzAzT0,X1) = X0
| sP19(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK50(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_776])]) ).
fof(f914,plain,
( spl55_47
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_47])]) ).
fof(f3366,plain,
( spl55_274
<=> ! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK50(X0,X1,X2) = X0
| aElementOf0(sK50(X0,X1,X2),X1)
| aElementOf0(sK50(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_274])]) ).
fof(f3425,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,szNzAzT0,X1),X1)
| sK50(X0,szNzAzT0,X1) = X0
| sP19(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK50(X0,szNzAzT0,X1)) )
| ~ spl55_47
| ~ spl55_274 ),
inference(resolution,[],[f3367,f915]) ).
fof(f915,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl55_47 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f3367,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK50(X0,X1,X2),X2)
| aElementOf0(sK50(X0,X1,X2),X1)
| sK50(X0,X1,X2) = X0
| sP19(X0,X1,X2) )
| ~ spl55_274 ),
inference(avatar_component_clause,[],[f3366]) ).
fof(f16158,plain,
( spl55_775
| ~ spl55_2
| ~ spl55_732 ),
inference(avatar_split_clause,[],[f14562,f14101,f699,f16155]) ).
fof(f16155,plain,
( spl55_775
<=> aElementOf0(sK23,sdtlpdtrp0(xN,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_775])]) ).
fof(f699,plain,
( spl55_2
<=> aElementOf0(sK23,sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).
fof(f14101,plain,
( spl55_732
<=> xi = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_732])]) ).
fof(f14562,plain,
( aElementOf0(sK23,sdtlpdtrp0(xN,sK23))
| ~ spl55_2
| ~ spl55_732 ),
inference(superposition,[],[f701,f14103]) ).
fof(f14103,plain,
( xi = sK23
| ~ spl55_732 ),
inference(avatar_component_clause,[],[f14101]) ).
fof(f701,plain,
( aElementOf0(sK23,sdtlpdtrp0(xN,xi))
| ~ spl55_2 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f16153,plain,
( spl55_774
| ~ spl55_45
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3423,f3366,f906,f16151]) ).
fof(f16151,plain,
( spl55_774
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,szNzAzT0,X1),X1)
| sK50(X0,szNzAzT0,X1) = X0
| sP19(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK50(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_774])]) ).
fof(f906,plain,
( spl55_45
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_45])]) ).
fof(f3423,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,szNzAzT0,X1),X1)
| sK50(X0,szNzAzT0,X1) = X0
| sP19(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK50(X0,szNzAzT0,X1))) )
| ~ spl55_45
| ~ spl55_274 ),
inference(resolution,[],[f3367,f907]) ).
fof(f907,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl55_45 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f16149,plain,
( spl55_773
| ~ spl55_47
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3388,f3366,f914,f16147]) ).
fof(f16147,plain,
( spl55_773
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,X1,szNzAzT0),X1)
| sK50(X0,X1,szNzAzT0) = X0
| sP19(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK50(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_773])]) ).
fof(f3388,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,X1,szNzAzT0),X1)
| sK50(X0,X1,szNzAzT0) = X0
| sP19(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK50(X0,X1,szNzAzT0)) )
| ~ spl55_47
| ~ spl55_274 ),
inference(resolution,[],[f3367,f915]) ).
fof(f16145,plain,
( spl55_772
| ~ spl55_45
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3386,f3366,f906,f16143]) ).
fof(f16143,plain,
( spl55_772
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,X1,szNzAzT0),X1)
| sK50(X0,X1,szNzAzT0) = X0
| sP19(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK50(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_772])]) ).
fof(f3386,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,X1,szNzAzT0),X1)
| sK50(X0,X1,szNzAzT0) = X0
| sP19(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK50(X0,X1,szNzAzT0))) )
| ~ spl55_45
| ~ spl55_274 ),
inference(resolution,[],[f3367,f907]) ).
fof(f16141,plain,
( spl55_771
| ~ spl55_34
| ~ spl55_269 ),
inference(avatar_split_clause,[],[f3331,f3320,f853,f16139]) ).
fof(f16139,plain,
( spl55_771
<=> ! [X0] :
( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_771])]) ).
fof(f853,plain,
( spl55_34
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_34])]) ).
fof(f3331,plain,
( ! [X0] :
( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_34
| ~ spl55_269 ),
inference(resolution,[],[f3321,f854]) ).
fof(f854,plain,
( ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) )
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f16137,plain,
( spl55_770
| ~ spl55_211
| ~ spl55_240 ),
inference(avatar_split_clause,[],[f2718,f2633,f2110,f16135]) ).
fof(f16135,plain,
( spl55_770
<=> ! [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,[spl55_770])]) ).
fof(f2718,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) )
| ~ spl55_211
| ~ spl55_240 ),
inference(duplicate_literal_removal,[],[f2674]) ).
fof(f2674,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) )
| ~ spl55_211
| ~ spl55_240 ),
inference(resolution,[],[f2634,f2111]) ).
fof(f16133,plain,
( spl55_769
| ~ spl55_94
| ~ spl55_233 ),
inference(avatar_split_clause,[],[f2559,f2445,f1191,f16131]) ).
fof(f16131,plain,
( spl55_769
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP12(sK52(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_769])]) ).
fof(f2445,plain,
( spl55_233
<=> ! [X0,X1] :
( aSubsetOf0(sK52(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_233])]) ).
fof(f2559,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP12(sK52(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) )
| ~ spl55_94
| ~ spl55_233 ),
inference(resolution,[],[f2446,f1192]) ).
fof(f2446,plain,
( ! [X0,X1] :
( aSubsetOf0(sK52(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl55_233 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f16129,plain,
( spl55_768
| ~ spl55_95
| ~ spl55_233 ),
inference(avatar_split_clause,[],[f2558,f2445,f1195,f16127]) ).
fof(f16127,plain,
( spl55_768
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP14(sK52(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_768])]) ).
fof(f2558,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(szDzozmdt0(X1)))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(X1))
| sP14(sK52(szDzozmdt0(X1),X0),X1)
| ~ aFunction0(X1) )
| ~ spl55_95
| ~ spl55_233 ),
inference(resolution,[],[f2446,f1196]) ).
fof(f16125,plain,
( spl55_767
| ~ spl55_114
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2539,f2441,f1322,f16123]) ).
fof(f16123,plain,
( spl55_767
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(X1),X2),X2)
| sP20(X0,szDzozmdt0(X1),X2)
| aElement0(sdtlpdtrp0(X1,sK51(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_767])]) ).
fof(f2539,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(X1),X2),X2)
| sP20(X0,szDzozmdt0(X1),X2)
| aElement0(sdtlpdtrp0(X1,sK51(X0,szDzozmdt0(X1),X2)))
| ~ aFunction0(X1) )
| ~ spl55_114
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1323]) ).
fof(f16121,plain,
( spl55_766
| ~ spl55_114
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2509,f2441,f1322,f16119]) ).
fof(f16119,plain,
( spl55_766
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(X2)),X1)
| sP20(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK51(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_766])]) ).
fof(f2509,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(X2)),X1)
| sP20(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK51(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl55_114
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1323]) ).
fof(f16117,plain,
( spl55_765
| ~ spl55_156
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2483,f2437,f1614,f16115]) ).
fof(f16115,plain,
( spl55_765
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK44(X0,X1)),sK44(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_765])]) ).
fof(f2483,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK44(X0,X1)),sK44(X0,X1)) = X1 )
| ~ spl55_156
| ~ spl55_231 ),
inference(duplicate_literal_removal,[],[f2453]) ).
fof(f2453,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK44(X0,X1)),sK44(X0,X1)) = X1
| ~ aSet0(X1) )
| ~ spl55_156
| ~ spl55_231 ),
inference(resolution,[],[f2438,f1615]) ).
fof(f16113,plain,
( spl55_764
| ~ spl55_176
| ~ spl55_223 ),
inference(avatar_split_clause,[],[f2403,f2158,f1800,f16111]) ).
fof(f16111,plain,
( spl55_764
<=> ! [X2,X0,X1] :
( ~ aElementOf0(szszuzczcdt0(X0),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP15(szmzazxdt0(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_764])]) ).
fof(f2158,plain,
( spl55_223
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_223])]) ).
fof(f2403,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(szszuzczcdt0(X0),X1)
| slcrc0 = X1
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP15(szmzazxdt0(X1),X2) )
| ~ spl55_176
| ~ spl55_223 ),
inference(resolution,[],[f2159,f1801]) ).
fof(f2159,plain,
( ! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_223 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f16109,plain,
( spl55_763
| ~ spl55_123
| ~ spl55_220 ),
inference(avatar_split_clause,[],[f2383,f2146,f1359,f16107]) ).
fof(f16107,plain,
( spl55_763
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,szDzozmdt0(X1))
| ~ aSubsetOf0(X0,sdtlbdtrb0(X1,X2))
| ~ aSet0(szDzozmdt0(X1))
| ~ aSet0(sdtlbdtrb0(X1,X2))
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_763])]) ).
fof(f2146,plain,
( spl55_220
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_220])]) ).
fof(f2383,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(X0,szDzozmdt0(X1))
| ~ aSubsetOf0(X0,sdtlbdtrb0(X1,X2))
| ~ aSet0(szDzozmdt0(X1))
| ~ aSet0(sdtlbdtrb0(X1,X2))
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aFunction0(X1) )
| ~ spl55_123
| ~ spl55_220 ),
inference(resolution,[],[f2147,f1360]) ).
fof(f2147,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_220 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f16105,plain,
( spl55_762
| ~ spl55_211
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2275,f2114,f2110,f16103]) ).
fof(f16103,plain,
( spl55_762
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK44(X0,X1))))
| ~ isFinite0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_762])]) ).
fof(f2275,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK44(X0,X1))))
| ~ isFinite0(X1) )
| ~ spl55_211
| ~ spl55_212 ),
inference(duplicate_literal_removal,[],[f2241]) ).
fof(f2241,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,sK44(X0,X1))))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_211
| ~ spl55_212 ),
inference(resolution,[],[f2115,f2111]) ).
fof(f16101,plain,
( spl55_761
| ~ spl55_114
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2262,f2114,f1322,f16099]) ).
fof(f16099,plain,
( spl55_761
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,szDzozmdt0(X1)),szNzAzT0)
| sP15(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK44(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_761])]) ).
fof(f2262,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,szDzozmdt0(X1)),szNzAzT0)
| sP15(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| aElement0(sdtlpdtrp0(X1,sK44(X0,szDzozmdt0(X1))))
| ~ aFunction0(X1) )
| ~ spl55_114
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1323]) ).
fof(f16097,plain,
( spl55_760
| ~ spl55_159
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2013,f1919,f1626,f16095]) ).
fof(f16095,plain,
( spl55_760
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK42(X0,X1)),sK42(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK42(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_760])]) ).
fof(f2013,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK42(X0,X1)),sK42(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK42(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) )
| ~ spl55_159
| ~ spl55_194 ),
inference(duplicate_literal_removal,[],[f2012]) ).
fof(f2012,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK42(X0,X1)),sK42(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK42(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_159
| ~ spl55_194 ),
inference(resolution,[],[f1920,f1627]) ).
fof(f16093,plain,
( spl55_759
| ~ spl55_91
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1686,f1614,f1179,f16091]) ).
fof(f16091,plain,
( spl55_759
<=> ! [X0] :
( sdtlcdtrc0(X0,szDzozmdt0(X0)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(X0,szDzozmdt0(X0)),sK30(X0)),sK30(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_759])]) ).
fof(f1179,plain,
( spl55_91
<=> ! [X0] :
( aElementOf0(sK30(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_91])]) ).
fof(f1686,plain,
( ! [X0] :
( sdtlcdtrc0(X0,szDzozmdt0(X0)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(X0,szDzozmdt0(X0)),sK30(X0)),sK30(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) )
| ~ spl55_91
| ~ spl55_156 ),
inference(resolution,[],[f1615,f1180]) ).
fof(f1180,plain,
( ! [X0] :
( aElementOf0(sK30(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) )
| ~ spl55_91 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f15636,plain,
( ~ spl55_758
| spl55_311
| ~ spl55_732 ),
inference(avatar_split_clause,[],[f14591,f14101,f3827,f15633]) ).
fof(f15633,plain,
( spl55_758
<=> isFinite0(sdtlpdtrp0(xN,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_758])]) ).
fof(f3827,plain,
( spl55_311
<=> isFinite0(sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_311])]) ).
fof(f14591,plain,
( ~ isFinite0(sdtlpdtrp0(xN,sK23))
| spl55_311
| ~ spl55_732 ),
inference(superposition,[],[f3829,f14103]) ).
fof(f3829,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xi))
| spl55_311 ),
inference(avatar_component_clause,[],[f3827]) ).
fof(f15553,plain,
( spl55_757
| ~ spl55_40
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3446,f3366,f885,f15551]) ).
fof(f15551,plain,
( spl55_757
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,xS,X1),X1)
| sK50(X0,xS,X1) = X0
| sP19(X0,xS,X1)
| aElementOf0(sK50(X0,xS,X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_757])]) ).
fof(f885,plain,
( spl55_40
<=> ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).
fof(f3446,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,xS,X1),X1)
| sK50(X0,xS,X1) = X0
| sP19(X0,xS,X1)
| aElementOf0(sK50(X0,xS,X1),szNzAzT0) )
| ~ spl55_40
| ~ spl55_274 ),
inference(resolution,[],[f3367,f886]) ).
fof(f886,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
| ~ spl55_40 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f15549,plain,
( spl55_756
| ~ spl55_40
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3409,f3366,f885,f15547]) ).
fof(f15547,plain,
( spl55_756
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,X1,xS),X1)
| sK50(X0,X1,xS) = X0
| sP19(X0,X1,xS)
| aElementOf0(sK50(X0,X1,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_756])]) ).
fof(f3409,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,X1,xS),X1)
| sK50(X0,X1,xS) = X0
| sP19(X0,X1,xS)
| aElementOf0(sK50(X0,X1,xS),szNzAzT0) )
| ~ spl55_40
| ~ spl55_274 ),
inference(resolution,[],[f3367,f886]) ).
fof(f15545,plain,
( spl55_755
| ~ spl55_75
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2827,f2753,f1076,f15543]) ).
fof(f15543,plain,
( spl55_755
<=> ! [X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| xK = sbrdtbr0(sK38(X0,szDzozmdt0(xc),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_755])]) ).
fof(f1076,plain,
( spl55_75
<=> ! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_75])]) ).
fof(f2827,plain,
( ! [X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| xK = sbrdtbr0(sK38(X0,szDzozmdt0(xc),X1)) )
| ~ spl55_75
| ~ spl55_247 ),
inference(resolution,[],[f2754,f1077]) ).
fof(f1077,plain,
( ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| xK = sbrdtbr0(X4) )
| ~ spl55_75 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f15541,plain,
( spl55_754
| ~ spl55_110
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2535,f2441,f1301,f15539]) ).
fof(f15539,plain,
( spl55_754
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| ~ aElementOf0(X2,sK51(X0,szDzozmdt0(xc),X1))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_754])]) ).
fof(f2535,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| ~ aElementOf0(X2,sK51(X0,szDzozmdt0(xc),X1))
| aElementOf0(X2,xS) )
| ~ spl55_110
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1302]) ).
fof(f15537,plain,
( spl55_753
| ~ spl55_110
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2505,f2441,f1301,f15535]) ).
fof(f15535,plain,
( spl55_753
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| ~ aElementOf0(X2,sK51(X0,X1,szDzozmdt0(xc)))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_753])]) ).
fof(f2505,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| ~ aElementOf0(X2,sK51(X0,X1,szDzozmdt0(xc)))
| aElementOf0(X2,xS) )
| ~ spl55_110
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1302]) ).
fof(f14757,plain,
( ~ spl55_752
| spl55_423
| ~ spl55_732 ),
inference(avatar_split_clause,[],[f14601,f14101,f5445,f14754]) ).
fof(f14754,plain,
( spl55_752
<=> sP10(sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_752])]) ).
fof(f5445,plain,
( spl55_423
<=> sP10(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_423])]) ).
fof(f14601,plain,
( ~ sP10(sK23,sK23)
| spl55_423
| ~ spl55_732 ),
inference(superposition,[],[f5447,f14103]) ).
fof(f5447,plain,
( ~ sP10(xi,xi)
| spl55_423 ),
inference(avatar_component_clause,[],[f5445]) ).
fof(f14680,plain,
( spl55_751
| ~ spl55_36
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3422,f3366,f861,f14678]) ).
fof(f14678,plain,
( spl55_751
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,szNzAzT0,X1),X1)
| sK50(X0,szNzAzT0,X1) = X0
| sP19(X0,szNzAzT0,X1)
| sP16(sK50(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_751])]) ).
fof(f861,plain,
( spl55_36
<=> ! [X0] :
( sP16(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_36])]) ).
fof(f3422,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,szNzAzT0,X1),X1)
| sK50(X0,szNzAzT0,X1) = X0
| sP19(X0,szNzAzT0,X1)
| sP16(sK50(X0,szNzAzT0,X1)) )
| ~ spl55_36
| ~ spl55_274 ),
inference(resolution,[],[f3367,f862]) ).
fof(f862,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP16(X0) )
| ~ spl55_36 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f14676,plain,
( spl55_750
| ~ spl55_36
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3385,f3366,f861,f14674]) ).
fof(f14674,plain,
( spl55_750
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,X1,szNzAzT0),X1)
| sK50(X0,X1,szNzAzT0) = X0
| sP19(X0,X1,szNzAzT0)
| sP16(sK50(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_750])]) ).
fof(f3385,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,X1,szNzAzT0),X1)
| sK50(X0,X1,szNzAzT0) = X0
| sP19(X0,X1,szNzAzT0)
| sP16(sK50(X0,X1,szNzAzT0)) )
| ~ spl55_36
| ~ spl55_274 ),
inference(resolution,[],[f3367,f862]) ).
fof(f14672,plain,
( spl55_749
| ~ spl55_64
| ~ spl55_266 ),
inference(avatar_split_clause,[],[f3317,f3220,f1007,f14670]) ).
fof(f14670,plain,
( spl55_749
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(X0)
| ~ aSet0(slbdtsldtrb0(sK53(X1,X2,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_749])]) ).
fof(f1007,plain,
( spl55_64
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_64])]) ).
fof(f3220,plain,
( spl55_266
<=> ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK53(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_266])]) ).
fof(f3317,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(X0)
| ~ aSet0(slbdtsldtrb0(sK53(X1,X2,X0),X2)) )
| ~ spl55_64
| ~ spl55_266 ),
inference(resolution,[],[f3221,f1008]) ).
fof(f1008,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) )
| ~ spl55_64 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f3221,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK53(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl55_266 ),
inference(avatar_component_clause,[],[f3220]) ).
fof(f14668,plain,
( spl55_748
| ~ spl55_63
| ~ spl55_263 ),
inference(avatar_split_clause,[],[f3228,f3208,f1003,f14666]) ).
fof(f14666,plain,
( spl55_748
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK45(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_748])]) ).
fof(f3208,plain,
( spl55_263
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK45(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_263])]) ).
fof(f3228,plain,
( ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK45(X0,X1))
| ~ aSet0(X0) )
| ~ spl55_63
| ~ spl55_263 ),
inference(resolution,[],[f3209,f1004]) ).
fof(f3209,plain,
( ! [X0,X1] :
( aElementOf0(sK45(X0,X1),X0)
| szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_263 ),
inference(avatar_component_clause,[],[f3208]) ).
fof(f14661,plain,
( ~ spl55_6
| spl55_747
| ~ spl55_63
| ~ spl55_262 ),
inference(avatar_split_clause,[],[f3225,f3204,f1003,f14659,f719]) ).
fof(f719,plain,
( spl55_6
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).
fof(f14659,plain,
( spl55_747
<=> ! [X2,X0,X1] :
( ~ iLess0(X0,xK)
| aElement0(sK27(X2,X0,X1))
| ~ sP9(X2,X0)
| ~ aFunction0(X1)
| sP3(X2,X0,X1)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_747])]) ).
fof(f3204,plain,
( spl55_262
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_262])]) ).
fof(f3225,plain,
( ! [X2,X0,X1] :
( ~ iLess0(X0,xK)
| sP8(X1)
| sP3(X2,X0,X1)
| ~ aFunction0(X1)
| ~ sP9(X2,X0)
| aElement0(sK27(X2,X0,X1))
| ~ aSet0(xT) )
| ~ spl55_63
| ~ spl55_262 ),
inference(resolution,[],[f3205,f1004]) ).
fof(f3205,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) )
| ~ spl55_262 ),
inference(avatar_component_clause,[],[f3204]) ).
fof(f14657,plain,
( spl55_746
| ~ spl55_114
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3074,f3054,f1322,f14655]) ).
fof(f14655,plain,
( spl55_746
<=> ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),X2)
| sP17(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sdtlpdtrp0(X1,sK49(X0,X1,X2)))
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_746])]) ).
fof(f3054,plain,
( spl55_259
<=> ! [X2,X0,X1] :
( sP17(X0,X1,X2)
| aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK49(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_259])]) ).
fof(f3074,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),X2)
| sP17(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sdtlpdtrp0(X1,sK49(X0,X1,X2)))
| ~ aFunction0(X1) )
| ~ spl55_114
| ~ spl55_259 ),
inference(resolution,[],[f3055,f1323]) ).
fof(f3055,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK49(X0,X1,X2),X2)
| sP17(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_259 ),
inference(avatar_component_clause,[],[f3054]) ).
fof(f14652,plain,
( spl55_745
| ~ spl55_99
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2931,f2769,f1211,f14650]) ).
fof(f14650,plain,
( spl55_745
<=> ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| isFinite0(sK54(X0,X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_745])]) ).
fof(f1211,plain,
( spl55_99
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_99])]) ).
fof(f2931,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| isFinite0(sK54(X0,X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_99
| ~ spl55_251 ),
inference(resolution,[],[f2770,f1212]) ).
fof(f1212,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_99 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f14648,plain,
( spl55_744
| ~ spl55_140
| ~ spl55_250 ),
inference(avatar_split_clause,[],[f2925,f2765,f1491,f14646]) ).
fof(f14646,plain,
( spl55_744
<=> ! [X0,X3,X2,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sK53(X1,X2,X0))
| aElementOf0(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_744])]) ).
fof(f2925,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sK53(X1,X2,X0))
| aElementOf0(X3,X1) )
| ~ spl55_140
| ~ spl55_250 ),
inference(duplicate_literal_removal,[],[f2914]) ).
fof(f2914,plain,
( ! [X2,X3,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sK53(X1,X2,X0))
| aElementOf0(X3,X1)
| ~ aSet0(X1) )
| ~ spl55_140
| ~ spl55_250 ),
inference(resolution,[],[f2766,f1492]) ).
fof(f14644,plain,
( spl55_743
| ~ spl55_156
| ~ spl55_240 ),
inference(avatar_split_clause,[],[f2717,f2633,f1614,f14642]) ).
fof(f14642,plain,
( spl55_743
<=> ! [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,[spl55_743])]) ).
fof(f2717,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 )
| ~ spl55_156
| ~ spl55_240 ),
inference(duplicate_literal_removal,[],[f2675]) ).
fof(f2675,plain,
( ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl55_156
| ~ spl55_240 ),
inference(resolution,[],[f2634,f1615]) ).
fof(f14640,plain,
( spl55_742
| ~ spl55_83
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2530,f2441,f1112,f14638]) ).
fof(f14638,plain,
( spl55_742
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sK51(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK51(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_742])]) ).
fof(f1112,plain,
( spl55_83
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_83])]) ).
fof(f2530,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sK51(X0,szNzAzT0,X1) = sbrdtbr0(slbdtrb0(sK51(X0,szNzAzT0,X1))) )
| ~ spl55_83
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1113]) ).
fof(f1113,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ spl55_83 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f14636,plain,
( spl55_741
| ~ spl55_83
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2500,f2441,f1112,f14634]) ).
fof(f14634,plain,
( spl55_741
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sK51(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK51(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_741])]) ).
fof(f2500,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sK51(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK51(X0,X1,szNzAzT0))) )
| ~ spl55_83
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1113]) ).
fof(f14632,plain,
( spl55_740
| ~ spl55_122
| ~ spl55_220 ),
inference(avatar_split_clause,[],[f2379,f2146,f1355,f14630]) ).
fof(f14630,plain,
( spl55_740
<=> ! [X0,X1] :
( aSubsetOf0(X0,slbdtrb0(sK46(X1)))
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(slbdtrb0(sK46(X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_740])]) ).
fof(f1355,plain,
( spl55_122
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_122])]) ).
fof(f2379,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,slbdtrb0(sK46(X1)))
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(slbdtrb0(sK46(X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl55_122
| ~ spl55_220 ),
inference(resolution,[],[f2147,f1356]) ).
fof(f1356,plain,
( ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_122 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f14628,plain,
( spl55_739
| ~ spl55_179
| ~ spl55_218 ),
inference(avatar_split_clause,[],[f2371,f2138,f1812,f14626]) ).
fof(f14626,plain,
( spl55_739
<=> ! [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,[spl55_739])]) ).
fof(f2138,plain,
( spl55_218
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_218])]) ).
fof(f2371,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_179
| ~ spl55_218 ),
inference(duplicate_literal_removal,[],[f2363]) ).
fof(f2363,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) )
| ~ spl55_179
| ~ spl55_218 ),
inference(resolution,[],[f2139,f1813]) ).
fof(f2139,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_218 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f14624,plain,
( spl55_738
| ~ spl55_114
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2338,f2130,f1322,f14622]) ).
fof(f14622,plain,
( spl55_738
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(X2)))
| sP20(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK51(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_738])]) ).
fof(f2338,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(X2)))
| sP20(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK51(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl55_114
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1323]) ).
fof(f14620,plain,
( spl55_737
| ~ spl55_114
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2299,f2118,f1322,f14618]) ).
fof(f14618,plain,
( spl55_737
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(X2)))
| sP19(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK50(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_737])]) ).
fof(f2299,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(X2)))
| sP19(X0,X1,szDzozmdt0(X2))
| aElement0(sdtlpdtrp0(X2,sK50(X0,X1,szDzozmdt0(X2))))
| ~ aFunction0(X2) )
| ~ spl55_114
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1323]) ).
fof(f14616,plain,
( spl55_736
| ~ spl55_156
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2274,f2114,f1614,f14614]) ).
fof(f14614,plain,
( spl55_736
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK44(X0,X1)),sK44(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_736])]) ).
fof(f2274,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK44(X0,X1)),sK44(X0,X1)) = X1 )
| ~ spl55_156
| ~ spl55_212 ),
inference(duplicate_literal_removal,[],[f2242]) ).
fof(f2242,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,sK44(X0,X1)),sK44(X0,X1)) = X1
| ~ aSet0(X1) )
| ~ spl55_156
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1615]) ).
fof(f14561,plain,
( spl55_735
| ~ spl55_194
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2227,f2110,f1919,f14559]) ).
fof(f14559,plain,
( spl55_735
<=> ! [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,[spl55_735])]) ).
fof(f2227,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) )
| ~ spl55_194
| ~ spl55_211 ),
inference(duplicate_literal_removal,[],[f2199]) ).
fof(f2199,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1) )
| ~ spl55_194
| ~ spl55_211 ),
inference(resolution,[],[f2111,f1920]) ).
fof(f14557,plain,
( spl55_734
| ~ spl55_122
| ~ spl55_178 ),
inference(avatar_split_clause,[],[f1834,f1808,f1355,f14555]) ).
fof(f14555,plain,
( spl55_734
<=> ! [X0] :
( slbdtrb0(sK46(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK46(X0)),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtrb0(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_734])]) ).
fof(f1834,plain,
( ! [X0] :
( slbdtrb0(sK46(X0)) = X0
| ~ aSubsetOf0(slbdtrb0(sK46(X0)),X0)
| ~ aSet0(X0)
| ~ aSet0(slbdtrb0(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_122
| ~ spl55_178 ),
inference(resolution,[],[f1809,f1356]) ).
fof(f14108,plain,
( spl55_732
| spl55_733
| ~ spl55_142
| ~ spl55_388 ),
inference(avatar_split_clause,[],[f5025,f4874,f1499,f14105,f14101]) ).
fof(f14105,plain,
( spl55_733
<=> sP10(sK23,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_733])]) ).
fof(f4874,plain,
( spl55_388
<=> ! [X0] :
( xi = X0
| sP10(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_388])]) ).
fof(f5025,plain,
( sP10(sK23,xi)
| xi = sK23
| ~ spl55_142
| ~ spl55_388 ),
inference(resolution,[],[f4875,f1501]) ).
fof(f4875,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP10(X0,xi)
| xi = X0 )
| ~ spl55_388 ),
inference(avatar_component_clause,[],[f4874]) ).
fof(f14099,plain,
( ~ spl55_729
| ~ spl55_730
| spl55_731
| ~ spl55_38
| ~ spl55_272 ),
inference(avatar_split_clause,[],[f3373,f3358,f875,f14097,f14093,f14089]) ).
fof(f14089,plain,
( spl55_729
<=> sP9(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_729])]) ).
fof(f14093,plain,
( spl55_730
<=> iLess0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_730])]) ).
fof(f14097,plain,
( spl55_731
<=> ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xc)
| ~ aFunction0(X0)
| aElementOf0(sK27(xS,xK,X0),xT)
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_731])]) ).
fof(f875,plain,
( spl55_38
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_38])]) ).
fof(f3358,plain,
( spl55_272
<=> ! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_272])]) ).
fof(f3373,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xc)
| ~ iLess0(xK,xK)
| sP8(X0)
| aElementOf0(sK27(xS,xK,X0),xT)
| ~ aFunction0(X0)
| ~ sP9(xS,xK) )
| ~ spl55_38
| ~ spl55_272 ),
inference(superposition,[],[f3359,f877]) ).
fof(f877,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl55_38 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f3359,plain,
( ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ iLess0(X1,xK)
| sP8(X2)
| aElementOf0(sK27(X0,X1,X2),xT)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) )
| ~ spl55_272 ),
inference(avatar_component_clause,[],[f3358]) ).
fof(f14087,plain,
( spl55_728
| ~ spl55_110
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3070,f3054,f1301,f14085]) ).
fof(f14085,plain,
( spl55_728
<=> ! [X2,X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK49(X0,xc,X1))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_728])]) ).
fof(f3070,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK49(X0,xc,X1))
| aElementOf0(X2,xS) )
| ~ spl55_110
| ~ spl55_259 ),
inference(resolution,[],[f3055,f1302]) ).
fof(f14083,plain,
( spl55_727
| ~ spl55_55
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2828,f2753,f967,f14081]) ).
fof(f14081,plain,
( spl55_727
<=> ! [X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| aSubsetOf0(sK38(X0,szDzozmdt0(xc),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_727])]) ).
fof(f967,plain,
( spl55_55
<=> ! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_55])]) ).
fof(f2828,plain,
( ! [X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| aSubsetOf0(sK38(X0,szDzozmdt0(xc),X1),xS) )
| ~ spl55_55
| ~ spl55_247 ),
inference(resolution,[],[f2754,f968]) ).
fof(f968,plain,
( ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSubsetOf0(X4,xS) )
| ~ spl55_55 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f14079,plain,
( spl55_726
| ~ spl55_120
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2604,f2578,f1347,f14077]) ).
fof(f14077,plain,
( spl55_726
<=> ! [X0,X1] :
( sK43(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_726])]) ).
fof(f1347,plain,
( spl55_120
<=> ! [X0] :
( aElementOf0(sK43(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_120])]) ).
fof(f2578,plain,
( spl55_235
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_235])]) ).
fof(f2604,plain,
( ! [X0,X1] :
( sK43(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_120
| ~ spl55_235 ),
inference(resolution,[],[f2579,f1348]) ).
fof(f1348,plain,
( ! [X0] :
( aElementOf0(sK43(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_120 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f2579,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_235 ),
inference(avatar_component_clause,[],[f2578]) ).
fof(f14075,plain,
( spl55_725
| ~ spl55_110
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2334,f2130,f1301,f14073]) ).
fof(f14073,plain,
( spl55_725
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| ~ aElementOf0(X2,sK51(X0,X1,szDzozmdt0(xc)))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_725])]) ).
fof(f2334,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| ~ aElementOf0(X2,sK51(X0,X1,szDzozmdt0(xc)))
| aElementOf0(X2,xS) )
| ~ spl55_110
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1302]) ).
fof(f14071,plain,
( spl55_724
| ~ spl55_110
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2295,f2118,f1301,f14069]) ).
fof(f14069,plain,
( spl55_724
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| ~ aElementOf0(X2,sK50(X0,X1,szDzozmdt0(xc)))
| aElementOf0(X2,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_724])]) ).
fof(f2295,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| ~ aElementOf0(X2,sK50(X0,X1,szDzozmdt0(xc)))
| aElementOf0(X2,xS) )
| ~ spl55_110
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1302]) ).
fof(f14066,plain,
( ~ spl55_30
| spl55_723
| ~ spl55_88
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1718,f1622,f1161,f14064,f835]) ).
fof(f14064,plain,
( spl55_723
<=> ! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| aElementOf0(sK42(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_723])]) ).
fof(f1718,plain,
( ! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0)
| aElementOf0(sK42(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) )
| ~ spl55_88
| ~ spl55_158 ),
inference(resolution,[],[f1623,f1162]) ).
fof(f14062,plain,
( spl55_722
| ~ spl55_133
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1715,f1622,f1446,f14060]) ).
fof(f14060,plain,
( spl55_722
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),X1)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| aElementOf0(sK42(X1,sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_722])]) ).
fof(f1715,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),X1)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| aElementOf0(sK42(X1,sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_133
| ~ spl55_158 ),
inference(resolution,[],[f1623,f1447]) ).
fof(f14049,plain,
( ~ spl55_73
| spl55_721
| ~ spl55_76
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1676,f1614,f1080,f14046,f1067]) ).
fof(f1067,plain,
( spl55_73
<=> aSet0(sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_73])]) ).
fof(f14046,plain,
( spl55_721
<=> sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_721])]) ).
fof(f1080,plain,
( spl55_76
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_76])]) ).
fof(f1676,plain,
( sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl55_76
| ~ spl55_156 ),
inference(resolution,[],[f1615,f1082]) ).
fof(f1082,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ spl55_76 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f14044,plain,
( spl55_720
| ~ spl55_134
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f1662,f1602,f1450,f14042]) ).
fof(f14042,plain,
( spl55_720
<=> ! [X0,X3,X2,X1] :
( ~ sP7(X0,X1,X2,szNzAzT0)
| ~ isCountable0(sK28(X0,X1,X2,szNzAzT0))
| sP9(sK28(X0,X1,X2,szNzAzT0),X3)
| ~ aElementOf0(X3,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_720])]) ).
fof(f1450,plain,
( spl55_134
<=> ! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_134])]) ).
fof(f1602,plain,
( spl55_153
<=> ! [X0,X3,X2,X1] :
( aSubsetOf0(sK28(X0,X1,X2,X3),X3)
| ~ sP7(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_153])]) ).
fof(f1662,plain,
( ! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,szNzAzT0)
| ~ isCountable0(sK28(X0,X1,X2,szNzAzT0))
| sP9(sK28(X0,X1,X2,szNzAzT0),X3)
| ~ aElementOf0(X3,szNzAzT0) )
| ~ spl55_134
| ~ spl55_153 ),
inference(resolution,[],[f1603,f1451]) ).
fof(f1451,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| sP9(X1,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_134 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1603,plain,
( ! [X2,X3,X0,X1] :
( aSubsetOf0(sK28(X0,X1,X2,X3),X3)
| ~ sP7(X0,X1,X2,X3) )
| ~ spl55_153 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f13849,plain,
( spl55_719
| ~ spl55_172
| ~ spl55_258 ),
inference(avatar_split_clause,[],[f3067,f3050,f1783,f13847]) ).
fof(f13847,plain,
( spl55_719
<=> ! [X0,X1] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1)
| ~ aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_719])]) ).
fof(f1783,plain,
( spl55_172
<=> ! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_172])]) ).
fof(f3050,plain,
( spl55_258
<=> ! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK35(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_258])]) ).
fof(f3067,plain,
( ! [X0,X1] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1)
| ~ aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X0))
| ~ sP1(X0) )
| ~ spl55_172
| ~ spl55_258 ),
inference(resolution,[],[f3051,f1784]) ).
fof(f1784,plain,
( ! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP1(X0) )
| ~ spl55_172 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f3051,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK35(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) )
| ~ spl55_258 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f13845,plain,
( spl55_718
| ~ spl55_139
| ~ spl55_257 ),
inference(avatar_split_clause,[],[f3061,f3046,f1487,f13843]) ).
fof(f13843,plain,
( spl55_718
<=> ! [X0,X3,X2,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| ~ aElementOf0(X3,sK32(X0,X1,X2))
| aElementOf0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_718])]) ).
fof(f1487,plain,
( spl55_139
<=> ! [X4,X0,X3,X2,X1] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_139])]) ).
fof(f3046,plain,
( spl55_257
<=> ! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_257])]) ).
fof(f3061,plain,
( ! [X2,X3,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| ~ aElementOf0(X3,sK32(X0,X1,X2))
| aElementOf0(X3,X0) )
| ~ spl55_139
| ~ spl55_257 ),
inference(resolution,[],[f3047,f1488]) ).
fof(f1488,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X3) )
| ~ spl55_139 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f3047,plain,
( ! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2) )
| ~ spl55_257 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f13841,plain,
( spl55_717
| ~ spl55_126
| ~ spl55_246 ),
inference(avatar_split_clause,[],[f2801,f2749,f1371,f13839]) ).
fof(f13839,plain,
( spl55_717
<=> ! [X0] :
( aElementOf0(sK35(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP10(X0,X0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_717])]) ).
fof(f2749,plain,
( spl55_246
<=> ! [X0,X1] :
( aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_246])]) ).
fof(f2801,plain,
( ! [X0] :
( aElementOf0(sK35(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP10(X0,X0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ spl55_126
| ~ spl55_246 ),
inference(resolution,[],[f2750,f1372]) ).
fof(f2750,plain,
( ! [X0,X1] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) )
| ~ spl55_246 ),
inference(avatar_component_clause,[],[f2749]) ).
fof(f13837,plain,
( spl55_716
| ~ spl55_34
| ~ spl55_242 ),
inference(avatar_split_clause,[],[f2732,f2641,f853,f13835]) ).
fof(f13835,plain,
( spl55_716
<=> ! [X0,X1] :
( ~ isFinite0(slbdtsldtrb0(X0,X1))
| isFinite0(sK53(X0,X1,slbdtsldtrb0(X0,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_716])]) ).
fof(f2641,plain,
( spl55_242
<=> ! [X2,X0,X1] :
( isFinite0(sK53(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_242])]) ).
fof(f2732,plain,
( ! [X0,X1] :
( ~ isFinite0(slbdtsldtrb0(X0,X1))
| isFinite0(sK53(X0,X1,slbdtsldtrb0(X0,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl55_34
| ~ spl55_242 ),
inference(resolution,[],[f2642,f854]) ).
fof(f2642,plain,
( ! [X2,X0,X1] :
( ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ isFinite0(X2)
| isFinite0(sK53(X0,X1,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl55_242 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f13833,plain,
( spl55_715
| ~ spl55_83
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2329,f2130,f1112,f13831]) ).
fof(f13831,plain,
( spl55_715
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sK51(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK51(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_715])]) ).
fof(f2329,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sK51(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK51(X0,X1,szNzAzT0))) )
| ~ spl55_83
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1113]) ).
fof(f13829,plain,
( spl55_714
| ~ spl55_83
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2290,f2118,f1112,f13827]) ).
fof(f13827,plain,
( spl55_714
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sK50(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK50(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_714])]) ).
fof(f2290,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sK50(X0,X1,szNzAzT0) = sbrdtbr0(slbdtrb0(sK50(X0,X1,szNzAzT0))) )
| ~ spl55_83
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1113]) ).
fof(f13825,plain,
( spl55_713
| ~ spl55_122
| ~ spl55_199 ),
inference(avatar_split_clause,[],[f2043,f1939,f1355,f13823]) ).
fof(f13823,plain,
( spl55_713
<=> ! [X0] :
( sdtlseqdt0(X0,sK46(slbdtrb0(X0)))
| ~ aElementOf0(sK46(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_713])]) ).
fof(f1939,plain,
( spl55_199
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_199])]) ).
fof(f2043,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK46(slbdtrb0(X0)))
| ~ aElementOf0(sK46(slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0) )
| ~ spl55_122
| ~ spl55_199 ),
inference(resolution,[],[f1940,f1356]) ).
fof(f1940,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_199 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f13821,plain,
( spl55_712
| ~ spl55_140
| ~ spl55_198 ),
inference(avatar_split_clause,[],[f2037,f1935,f1491,f13819]) ).
fof(f13819,plain,
( spl55_712
<=> ! [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,[spl55_712])]) ).
fof(f1935,plain,
( spl55_198
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_198])]) ).
fof(f2037,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,slbdtrb0(X1))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl55_140
| ~ spl55_198 ),
inference(resolution,[],[f1936,f1492]) ).
fof(f1936,plain,
( ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_198 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f13817,plain,
( spl55_711
| ~ spl55_114
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2000,f1919,f1322,f13815]) ).
fof(f13815,plain,
( spl55_711
<=> ! [X0,X1] :
( szDzozmdt0(X0) = sdtmndt0(sdtpldt0(szDzozmdt0(X0),X1),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_711])]) ).
fof(f2000,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) = sdtmndt0(sdtpldt0(szDzozmdt0(X0),X1),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aElement0(X1)
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl55_114
| ~ spl55_194 ),
inference(resolution,[],[f1920,f1323]) ).
fof(f13543,plain,
( spl55_710
| ~ spl55_37
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2829,f2753,f871,f13541]) ).
fof(f13541,plain,
( spl55_710
<=> ! [X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| aSet0(sK38(X0,szDzozmdt0(xc),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_710])]) ).
fof(f871,plain,
( spl55_37
<=> ! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_37])]) ).
fof(f2829,plain,
( ! [X0,X1] :
( aElementOf0(sK37(X0,szDzozmdt0(xc),X1),X1)
| sP13(X0,szDzozmdt0(xc),X1)
| ~ aSet0(X1)
| aSet0(sK38(X0,szDzozmdt0(xc),X1)) )
| ~ spl55_37
| ~ spl55_247 ),
inference(resolution,[],[f2754,f872]) ).
fof(f872,plain,
( ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSet0(X4) )
| ~ spl55_37 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f13539,plain,
( spl55_709
| ~ spl55_100
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2608,f2578,f1215,f13537]) ).
fof(f13537,plain,
( spl55_709
<=> ! [X0,X1] :
( sK46(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_709])]) ).
fof(f1215,plain,
( spl55_100
<=> ! [X0] :
( aElementOf0(sK46(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_100])]) ).
fof(f2608,plain,
( ! [X0,X1] :
( sK46(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl55_100
| ~ spl55_235 ),
inference(resolution,[],[f2579,f1216]) ).
fof(f1216,plain,
( ! [X0] :
( aElementOf0(sK46(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_100 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f13535,plain,
( spl55_708
| ~ spl55_75
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2536,f2441,f1076,f13533]) ).
fof(f13533,plain,
( spl55_708
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| xK = sbrdtbr0(sK51(X0,szDzozmdt0(xc),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_708])]) ).
fof(f2536,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| xK = sbrdtbr0(sK51(X0,szDzozmdt0(xc),X1)) )
| ~ spl55_75
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1077]) ).
fof(f13531,plain,
( spl55_707
| ~ spl55_75
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2506,f2441,f1076,f13529]) ).
fof(f13529,plain,
( spl55_707
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| xK = sbrdtbr0(sK51(X0,X1,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_707])]) ).
fof(f2506,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| xK = sbrdtbr0(sK51(X0,X1,szDzozmdt0(xc))) )
| ~ spl55_75
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1077]) ).
fof(f13527,plain,
( spl55_706
| ~ spl55_89
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1553,f1516,f1165,f13525]) ).
fof(f13525,plain,
( spl55_706
<=> ! [X0,X1] :
( ~ sP21(xK,X0,X1)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_706])]) ).
fof(f1516,plain,
( spl55_146
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP21(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_146])]) ).
fof(f1553,plain,
( ! [X0,X1] :
( ~ sP21(xK,X0,X1)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1) )
| ~ spl55_89
| ~ spl55_146 ),
inference(superposition,[],[f1517,f1167]) ).
fof(f1517,plain,
( ! [X2,X1,X4] :
( ~ sP21(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) )
| ~ spl55_146 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f13523,plain,
( spl55_705
| ~ spl55_332
| ~ spl55_650 ),
inference(avatar_split_clause,[],[f12896,f11435,f4017,f13520]) ).
fof(f13520,plain,
( spl55_705
<=> iLess0(sK23,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_705])]) ).
fof(f4017,plain,
( spl55_332
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_332])]) ).
fof(f11435,plain,
( spl55_650
<=> xk = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_650])]) ).
fof(f12896,plain,
( iLess0(sK23,xK)
| ~ spl55_332
| ~ spl55_650 ),
inference(superposition,[],[f4019,f11436]) ).
fof(f11436,plain,
( xk = sK23
| ~ spl55_650 ),
inference(avatar_component_clause,[],[f11435]) ).
fof(f4019,plain,
( iLess0(xk,xK)
| ~ spl55_332 ),
inference(avatar_component_clause,[],[f4017]) ).
fof(f13487,plain,
( ~ spl55_30
| spl55_638
| spl55_704
| ~ spl55_101
| ~ spl55_131 ),
inference(avatar_split_clause,[],[f1464,f1438,f1219,f13484,f11342,f835]) ).
fof(f11342,plain,
( spl55_638
<=> slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_638])]) ).
fof(f13484,plain,
( spl55_704
<=> aElementOf0(sK24(sK48(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_704])]) ).
fof(f1464,plain,
( aElementOf0(sK24(sK48(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl55_101
| ~ spl55_131 ),
inference(resolution,[],[f1439,f1220]) ).
fof(f12967,plain,
( ~ spl55_703
| spl55_326
| ~ spl55_650 ),
inference(avatar_split_clause,[],[f12895,f11435,f3980,f12964]) ).
fof(f12964,plain,
( spl55_703
<=> sP1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_703])]) ).
fof(f3980,plain,
( spl55_326
<=> sP1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_326])]) ).
fof(f12895,plain,
( ~ sP1(sK23)
| spl55_326
| ~ spl55_650 ),
inference(superposition,[],[f3982,f11436]) ).
fof(f3982,plain,
( ~ sP1(xk)
| spl55_326 ),
inference(avatar_component_clause,[],[f3980]) ).
fof(f12943,plain,
( spl55_702
| ~ spl55_63
| ~ spl55_265 ),
inference(avatar_split_clause,[],[f3309,f3216,f1003,f12941]) ).
fof(f12941,plain,
( spl55_702
<=> ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK49(X1,X0,X2)) = X1
| sP17(X1,X0,X2)
| ~ aSet0(X2)
| aElement0(sK49(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_702])]) ).
fof(f3216,plain,
( spl55_265
<=> ! [X2,X0,X1] :
( sP17(X0,X1,X2)
| sdtlpdtrp0(X1,sK49(X0,X1,X2)) = X0
| aElementOf0(sK49(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_265])]) ).
fof(f3309,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK49(X1,X0,X2)) = X1
| sP17(X1,X0,X2)
| ~ aSet0(X2)
| aElement0(sK49(X1,X0,X2)) )
| ~ spl55_63
| ~ spl55_265 ),
inference(duplicate_literal_removal,[],[f3275]) ).
fof(f3275,plain,
( ! [X2,X0,X1] :
( sdtlpdtrp0(X0,sK49(X1,X0,X2)) = X1
| sP17(X1,X0,X2)
| ~ aSet0(X2)
| aElement0(sK49(X1,X0,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_265 ),
inference(resolution,[],[f3217,f1004]) ).
fof(f3217,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),X2)
| sdtlpdtrp0(X1,sK49(X0,X1,X2)) = X0
| sP17(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_265 ),
inference(avatar_component_clause,[],[f3216]) ).
fof(f12939,plain,
( spl55_701
| ~ spl55_64
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2932,f2769,f1007,f12937]) ).
fof(f12937,plain,
( spl55_701
<=> ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aSet0(sK54(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_701])]) ).
fof(f2932,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aSet0(sK54(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl55_64
| ~ spl55_251 ),
inference(resolution,[],[f2770,f1008]) ).
fof(f12935,plain,
( spl55_700
| ~ spl55_63
| ~ spl55_248 ),
inference(avatar_split_clause,[],[f2877,f2757,f1003,f12933]) ).
fof(f12933,plain,
( spl55_700
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK47(X0,X1))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_700])]) ).
fof(f2757,plain,
( spl55_248
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK47(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_248])]) ).
fof(f2877,plain,
( ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK47(X0,X1))
| ~ aSet0(X0) )
| ~ spl55_63
| ~ spl55_248 ),
inference(resolution,[],[f2758,f1004]) ).
fof(f2758,plain,
( ! [X0,X1] :
( aElementOf0(sK47(X0,X1),X0)
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_248 ),
inference(avatar_component_clause,[],[f2757]) ).
fof(f12931,plain,
( spl55_699
| ~ spl55_63
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2808,f2753,f1003,f12929]) ).
fof(f12929,plain,
( spl55_699
<=> ! [X2,X0,X1] :
( aElementOf0(sK37(X0,X1,X2),X2)
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK38(X0,X1,X2))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_699])]) ).
fof(f2808,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK37(X0,X1,X2),X2)
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK38(X0,X1,X2))
| ~ aSet0(X1) )
| ~ spl55_63
| ~ spl55_247 ),
inference(resolution,[],[f2754,f1004]) ).
fof(f12927,plain,
( spl55_698
| ~ spl55_63
| ~ spl55_245 ),
inference(avatar_split_clause,[],[f2794,f2745,f1003,f12925]) ).
fof(f12925,plain,
( spl55_698
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP1(X1)
| aElement0(X0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_698])]) ).
fof(f2745,plain,
( spl55_245
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_245])]) ).
fof(f2794,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP1(X1)
| aElement0(X0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ spl55_63
| ~ spl55_245 ),
inference(resolution,[],[f2746,f1004]) ).
fof(f2746,plain,
( ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) )
| ~ spl55_245 ),
inference(avatar_component_clause,[],[f2745]) ).
fof(f12923,plain,
( spl55_697
| ~ spl55_157
| ~ spl55_241 ),
inference(avatar_split_clause,[],[f2731,f2637,f1618,f12921]) ).
fof(f12921,plain,
( spl55_697
<=> ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK52(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_697])]) ).
fof(f1618,plain,
( spl55_157
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_157])]) ).
fof(f2637,plain,
( spl55_241
<=> ! [X0,X1] :
( sbrdtbr0(sK52(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_241])]) ).
fof(f2731,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK52(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) )
| ~ spl55_157
| ~ spl55_241 ),
inference(duplicate_literal_removal,[],[f2723]) ).
fof(f2723,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = sbrdtbr0(sK52(X0,sbrdtbr0(X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_157
| ~ spl55_241 ),
inference(resolution,[],[f2638,f1619]) ).
fof(f1619,plain,
( ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_157 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f2638,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| sbrdtbr0(sK52(X0,X1)) = X1
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) )
| ~ spl55_241 ),
inference(avatar_component_clause,[],[f2637]) ).
fof(f12919,plain,
( spl55_696
| ~ spl55_123
| ~ spl55_238 ),
inference(avatar_split_clause,[],[f2673,f2625,f1359,f12917]) ).
fof(f12917,plain,
( spl55_696
<=> ! [X0,X1] :
( aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_696])]) ).
fof(f2625,plain,
( spl55_238
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_238])]) ).
fof(f2673,plain,
( ! [X0,X1] :
( aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) )
| ~ spl55_123
| ~ spl55_238 ),
inference(duplicate_literal_removal,[],[f2669]) ).
fof(f2669,plain,
( ! [X0,X1] :
( aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl55_123
| ~ spl55_238 ),
inference(resolution,[],[f2626,f1360]) ).
fof(f2626,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl55_238 ),
inference(avatar_component_clause,[],[f2625]) ).
fof(f12915,plain,
( spl55_695
| ~ spl55_123
| ~ spl55_237 ),
inference(avatar_split_clause,[],[f2667,f2621,f1359,f12913]) ).
fof(f12913,plain,
( spl55_695
<=> ! [X0,X1] :
( aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_695])]) ).
fof(f2621,plain,
( spl55_237
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_237])]) ).
fof(f2667,plain,
( ! [X0,X1] :
( aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1) )
| ~ spl55_123
| ~ spl55_237 ),
inference(duplicate_literal_removal,[],[f2663]) ).
fof(f2663,plain,
( ! [X0,X1] :
( aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(sdtlbdtrb0(X0,X1))
| isCountable0(sdtlcdtrc0(X0,sdtlbdtrb0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElement0(X1)
| ~ aFunction0(X0) )
| ~ spl55_123
| ~ spl55_237 ),
inference(resolution,[],[f2622,f1360]) ).
fof(f2622,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) )
| ~ spl55_237 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f12884,plain,
( spl55_694
| ~ spl55_140
| ~ spl55_233 ),
inference(avatar_split_clause,[],[f2563,f2445,f1491,f12882]) ).
fof(f12882,plain,
( spl55_694
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK52(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_694])]) ).
fof(f2563,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK52(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl55_140
| ~ spl55_233 ),
inference(duplicate_literal_removal,[],[f2555]) ).
fof(f2555,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sK52(X1,X0))
| aElementOf0(X2,X1)
| ~ aSet0(X1) )
| ~ spl55_140
| ~ spl55_233 ),
inference(resolution,[],[f2446,f1492]) ).
fof(f12880,plain,
( spl55_693
| ~ spl55_46
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2528,f2441,f910,f12878]) ).
fof(f12878,plain,
( spl55_693
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sdtlseqdt0(sK51(X0,szNzAzT0,X1),sK51(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_693])]) ).
fof(f910,plain,
( spl55_46
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_46])]) ).
fof(f2528,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sdtlseqdt0(sK51(X0,szNzAzT0,X1),sK51(X0,szNzAzT0,X1)) )
| ~ spl55_46
| ~ spl55_232 ),
inference(resolution,[],[f2442,f911]) ).
fof(f911,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl55_46 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f12876,plain,
( spl55_692
| ~ spl55_46
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2498,f2441,f910,f12874]) ).
fof(f12874,plain,
( spl55_692
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sK51(X0,X1,szNzAzT0),sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_692])]) ).
fof(f2498,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sK51(X0,X1,szNzAzT0),sK51(X0,X1,szNzAzT0)) )
| ~ spl55_46
| ~ spl55_232 ),
inference(resolution,[],[f2442,f911]) ).
fof(f12872,plain,
( spl55_691
| ~ spl55_83
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2233,f2114,f1112,f12870]) ).
fof(f12870,plain,
( spl55_691
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sK44(X0,X1) = sbrdtbr0(slbdtrb0(sK44(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_691])]) ).
fof(f2233,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sK44(X0,X1) = sbrdtbr0(slbdtrb0(sK44(X0,X1))) )
| ~ spl55_83
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1113]) ).
fof(f12868,plain,
( spl55_690
| ~ spl55_166
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2226,f2110,f1654,f12866]) ).
fof(f12866,plain,
( spl55_690
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_690])]) ).
fof(f2226,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_166
| ~ spl55_211 ),
inference(duplicate_literal_removal,[],[f2209]) ).
fof(f2209,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_166
| ~ spl55_211 ),
inference(resolution,[],[f2111,f1655]) ).
fof(f12864,plain,
( spl55_689
| ~ spl55_158
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2225,f2110,f1622,f12862]) ).
fof(f12862,plain,
( spl55_689
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK42(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_689])]) ).
fof(f2225,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK42(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) )
| ~ spl55_158
| ~ spl55_211 ),
inference(duplicate_literal_removal,[],[f2220]) ).
fof(f2220,plain,
( ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK42(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) )
| ~ spl55_158
| ~ spl55_211 ),
inference(resolution,[],[f2111,f1623]) ).
fof(f12860,plain,
( spl55_688
| ~ spl55_126
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2208,f2110,f1371,f12858]) ).
fof(f12858,plain,
( spl55_688
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_688])]) ).
fof(f2208,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_126
| ~ spl55_211 ),
inference(resolution,[],[f2111,f1372]) ).
fof(f12856,plain,
( spl55_687
| ~ spl55_189
| ~ spl55_207 ),
inference(avatar_split_clause,[],[f2185,f2094,f1899,f12854]) ).
fof(f12854,plain,
( spl55_687
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(sK28(X1,X2,X3,X4),X1))
| sdtlpdtrp0(X2,X0) = X3
| ~ sP7(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_687])]) ).
fof(f2094,plain,
( spl55_207
<=> ! [X2,X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP6(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_207])]) ).
fof(f2185,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElementOf0(X0,slbdtsldtrb0(sK28(X1,X2,X3,X4),X1))
| sdtlpdtrp0(X2,X0) = X3
| ~ sP7(X1,X2,X3,X4) )
| ~ spl55_189
| ~ spl55_207 ),
inference(resolution,[],[f2095,f1900]) ).
fof(f2095,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3)
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl55_207 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f12852,plain,
( spl55_686
| ~ spl55_189
| ~ spl55_201 ),
inference(avatar_split_clause,[],[f2049,f1948,f1899,f12850]) ).
fof(f12850,plain,
( spl55_686
<=> ! [X0,X3,X2,X1] :
( ~ aSubsetOf0(X0,sK28(sbrdtbr0(X0),X1,X2,X3))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(sbrdtbr0(X0),X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_686])]) ).
fof(f2049,plain,
( ! [X2,X3,X0,X1] :
( ~ aSubsetOf0(X0,sK28(sbrdtbr0(X0),X1,X2,X3))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP7(sbrdtbr0(X0),X1,X2,X3) )
| ~ spl55_189
| ~ spl55_201 ),
inference(resolution,[],[f1949,f1900]) ).
fof(f12848,plain,
( spl55_685
| ~ spl55_114
| ~ spl55_166 ),
inference(avatar_split_clause,[],[f1754,f1654,f1322,f12846]) ).
fof(f12846,plain,
( spl55_685
<=> ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzazxdt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_685])]) ).
fof(f1754,plain,
( ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzazxdt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl55_114
| ~ spl55_166 ),
inference(resolution,[],[f1655,f1323]) ).
fof(f12844,plain,
( spl55_684
| ~ spl55_156
| ~ spl55_166 ),
inference(avatar_split_clause,[],[f1737,f1654,f1614,f12842]) ).
fof(f12842,plain,
( spl55_684
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_684])]) ).
fof(f1737,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) )
| ~ spl55_156
| ~ spl55_166 ),
inference(resolution,[],[f1655,f1615]) ).
fof(f12471,plain,
( spl55_650
| spl55_683
| ~ spl55_142
| ~ spl55_387 ),
inference(avatar_split_clause,[],[f4991,f4870,f1499,f12468,f11435]) ).
fof(f12468,plain,
( spl55_683
<=> sP10(sK23,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_683])]) ).
fof(f4870,plain,
( spl55_387
<=> ! [X0] :
( xk = X0
| sP10(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_387])]) ).
fof(f4991,plain,
( sP10(sK23,xk)
| xk = sK23
| ~ spl55_142
| ~ spl55_387 ),
inference(resolution,[],[f4871,f1501]) ).
fof(f4871,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP10(X0,xk)
| xk = X0 )
| ~ spl55_387 ),
inference(avatar_component_clause,[],[f4870]) ).
fof(f12407,plain,
( ~ spl55_5
| spl55_682
| ~ spl55_22
| ~ spl55_275 ),
inference(avatar_split_clause,[],[f3450,f3370,f798,f12405,f714]) ).
fof(f714,plain,
( spl55_5
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).
fof(f12405,plain,
( spl55_682
<=> ! [X0] :
( sdtlpdtrp0(xN,sK36(xN,X0,szNzAzT0)) != sdtlpdtrp0(X0,sK36(xN,X0,szNzAzT0))
| sP11(xN,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_682])]) ).
fof(f798,plain,
( spl55_22
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_22])]) ).
fof(f3370,plain,
( spl55_275
<=> ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK36(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK36(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_275])]) ).
fof(f3450,plain,
( ! [X0] :
( sdtlpdtrp0(xN,sK36(xN,X0,szNzAzT0)) != sdtlpdtrp0(X0,sK36(xN,X0,szNzAzT0))
| sP11(xN,X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_275 ),
inference(superposition,[],[f3371,f800]) ).
fof(f800,plain,
( szNzAzT0 = szDzozmdt0(xN)
| ~ spl55_22 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f3371,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK36(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK36(X0,X1,szDzozmdt0(X0)))
| sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl55_275 ),
inference(avatar_component_clause,[],[f3370]) ).
fof(f12403,plain,
( spl55_681
| ~ spl55_75
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3071,f3054,f1076,f12401]) ).
fof(f12401,plain,
( spl55_681
<=> ! [X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| xK = sbrdtbr0(sK49(X0,xc,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_681])]) ).
fof(f3071,plain,
( ! [X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| xK = sbrdtbr0(sK49(X0,xc,X1)) )
| ~ spl55_75
| ~ spl55_259 ),
inference(resolution,[],[f3055,f1077]) ).
fof(f12399,plain,
( spl55_680
| ~ spl55_113
| ~ spl55_256 ),
inference(avatar_split_clause,[],[f3028,f3022,f1318,f12397]) ).
fof(f12397,plain,
( spl55_680
<=> ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_680])]) ).
fof(f3022,plain,
( spl55_256
<=> ! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_256])]) ).
fof(f3028,plain,
( ! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP1(X0) )
| ~ spl55_113
| ~ spl55_256 ),
inference(resolution,[],[f3023,f1319]) ).
fof(f3023,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_256 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f12395,plain,
( spl55_679
| ~ spl55_82
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2596,f2578,f1108,f12393]) ).
fof(f12393,plain,
( spl55_679
<=> ! [X0,X1] :
( sbrdtbr0(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_679])]) ).
fof(f1108,plain,
( spl55_82
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_82])]) ).
fof(f2596,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_82
| ~ spl55_235 ),
inference(resolution,[],[f2579,f1109]) ).
fof(f1109,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_82 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f12391,plain,
( spl55_678
| ~ spl55_55
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2537,f2441,f967,f12389]) ).
fof(f12389,plain,
( spl55_678
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| aSubsetOf0(sK51(X0,szDzozmdt0(xc),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_678])]) ).
fof(f2537,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| aSubsetOf0(sK51(X0,szDzozmdt0(xc),X1),xS) )
| ~ spl55_55
| ~ spl55_232 ),
inference(resolution,[],[f2442,f968]) ).
fof(f12387,plain,
( spl55_677
| ~ spl55_55
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2507,f2441,f967,f12385]) ).
fof(f12385,plain,
( spl55_677
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| aSubsetOf0(sK51(X0,X1,szDzozmdt0(xc)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_677])]) ).
fof(f2507,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| aSubsetOf0(sK51(X0,X1,szDzozmdt0(xc)),xS) )
| ~ spl55_55
| ~ spl55_232 ),
inference(resolution,[],[f2442,f968]) ).
fof(f12383,plain,
( spl55_676
| ~ spl55_111
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2349,f2130,f1305,f12381]) ).
fof(f12381,plain,
( spl55_676
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP20(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_676])]) ).
fof(f2349,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP20(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ spl55_111
| ~ spl55_216 ),
inference(duplicate_literal_removal,[],[f2321]) ).
fof(f2321,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP20(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(sK51(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) )
| ~ spl55_111
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1306]) ).
fof(f12379,plain,
( spl55_675
| ~ spl55_75
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2335,f2130,f1076,f12377]) ).
fof(f12377,plain,
( spl55_675
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| xK = sbrdtbr0(sK51(X0,X1,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_675])]) ).
fof(f2335,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| xK = sbrdtbr0(sK51(X0,X1,szDzozmdt0(xc))) )
| ~ spl55_75
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1077]) ).
fof(f12375,plain,
( spl55_674
| ~ spl55_111
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2310,f2118,f1305,f12373]) ).
fof(f12373,plain,
( spl55_674
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP19(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_674])]) ).
fof(f2310,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP19(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ spl55_111
| ~ spl55_213 ),
inference(duplicate_literal_removal,[],[f2282]) ).
fof(f2282,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
| sP19(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(sK50(X0,X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) )
| ~ spl55_111
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1306]) ).
fof(f12371,plain,
( spl55_673
| ~ spl55_75
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2296,f2118,f1076,f12369]) ).
fof(f12369,plain,
( spl55_673
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| xK = sbrdtbr0(sK50(X0,X1,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_673])]) ).
fof(f2296,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| xK = sbrdtbr0(sK50(X0,X1,szDzozmdt0(xc))) )
| ~ spl55_75
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1077]) ).
fof(f12367,plain,
( spl55_672
| ~ spl55_133
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2272,f2114,f1446,f12365]) ).
fof(f12365,plain,
( spl55_672
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| sP15(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_672])]) ).
fof(f2272,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| sP15(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_133
| ~ spl55_212 ),
inference(duplicate_literal_removal,[],[f2263]) ).
fof(f2263,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| sP15(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X1))
| aElementOf0(sK44(X0,sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_133
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1447]) ).
fof(f12362,plain,
( ~ spl55_6
| ~ spl55_30
| ~ spl55_670
| spl55_671
| ~ spl55_39
| ~ spl55_178 ),
inference(avatar_split_clause,[],[f1837,f1808,f880,f12359,f12355,f835,f719]) ).
fof(f12355,plain,
( spl55_670
<=> aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_670])]) ).
fof(f12359,plain,
( spl55_671
<=> xT = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_671])]) ).
fof(f880,plain,
( spl55_39
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_39])]) ).
fof(f1837,plain,
( xT = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ spl55_39
| ~ spl55_178 ),
inference(resolution,[],[f1809,f882]) ).
fof(f882,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| ~ spl55_39 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f12353,plain,
( spl55_669
| ~ spl55_126
| ~ spl55_133 ),
inference(avatar_split_clause,[],[f1467,f1446,f1371,f12351]) ).
fof(f12351,plain,
( spl55_669
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_669])]) ).
fof(f1467,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ spl55_126
| ~ spl55_133 ),
inference(resolution,[],[f1447,f1372]) ).
fof(f12346,plain,
( spl55_667
| ~ spl55_668
| spl55_638
| ~ spl55_88
| ~ spl55_126 ),
inference(avatar_split_clause,[],[f1425,f1371,f1161,f11342,f12343,f12339]) ).
fof(f12339,plain,
( spl55_667
<=> aElementOf0(szmzizndt0(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_667])]) ).
fof(f12343,plain,
( spl55_668
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_668])]) ).
fof(f1425,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)
| ~ spl55_88
| ~ spl55_126 ),
inference(resolution,[],[f1372,f1162]) ).
fof(f12042,plain,
( spl55_666
| ~ spl55_63
| ~ spl55_260 ),
inference(avatar_split_clause,[],[f3174,f3058,f1003,f12040]) ).
fof(f12040,plain,
( spl55_666
<=> ! [X2,X0,X1] :
( sbrdtbr0(sK54(X0,X1,X2)) = X0
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK54(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_666])]) ).
fof(f3058,plain,
( spl55_260
<=> ! [X2,X0,X1] :
( sP21(X0,X1,X2)
| sbrdtbr0(sK54(X0,X1,X2)) = X0
| aElementOf0(sK54(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_260])]) ).
fof(f3174,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK54(X0,X1,X2)) = X0
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK54(X0,X1,X2)) )
| ~ spl55_63
| ~ spl55_260 ),
inference(duplicate_literal_removal,[],[f3141]) ).
fof(f3141,plain,
( ! [X2,X0,X1] :
( sbrdtbr0(sK54(X0,X1,X2)) = X0
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK54(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_260 ),
inference(resolution,[],[f3059,f1004]) ).
fof(f3059,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK54(X0,X1,X2),X2)
| sbrdtbr0(sK54(X0,X1,X2)) = X0
| sP21(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_260 ),
inference(avatar_component_clause,[],[f3058]) ).
fof(f12038,plain,
( spl55_665
| ~ spl55_63
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3115,f3054,f1003,f12036]) ).
fof(f12036,plain,
( spl55_665
<=> ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| sP17(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK49(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_665])]) ).
fof(f3115,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| sP17(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK49(X0,X1,X2)) )
| ~ spl55_63
| ~ spl55_259 ),
inference(duplicate_literal_removal,[],[f3080]) ).
fof(f3080,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| sP17(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK49(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_259 ),
inference(resolution,[],[f3055,f1004]) ).
fof(f12034,plain,
( spl55_664
| ~ spl55_92
| ~ spl55_257 ),
inference(avatar_split_clause,[],[f3063,f3046,f1183,f12032]) ).
fof(f12032,plain,
( spl55_664
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_664])]) ).
fof(f1183,plain,
( spl55_92
<=> ! [X2,X0,X1,X3] :
( sbrdtbr0(X1) = X2
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_92])]) ).
fof(f3063,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X1 )
| ~ spl55_92
| ~ spl55_257 ),
inference(resolution,[],[f3047,f1184]) ).
fof(f1184,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| sbrdtbr0(X1) = X2 )
| ~ spl55_92 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f12030,plain,
( ~ spl55_6
| ~ spl55_7
| spl55_663
| ~ spl55_42
| ~ spl55_240 ),
inference(avatar_split_clause,[],[f2712,f2633,f894,f12028,f724,f719]) ).
fof(f724,plain,
( spl55_7
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).
fof(f12028,plain,
( spl55_663
<=> ! [X0] :
( sbrdtbr0(sdtpldt0(xT,sK30(X0))) = szszuzczcdt0(sbrdtbr0(xT))
| ~ sP5(X0)
| ~ aElement0(sK30(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_663])]) ).
fof(f894,plain,
( spl55_42
<=> ! [X0] :
( ~ aElementOf0(sK30(X0),xT)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).
fof(f2712,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(xT,sK30(X0))) = szszuzczcdt0(sbrdtbr0(xT))
| ~ aElement0(sK30(X0))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ sP5(X0) )
| ~ spl55_42
| ~ spl55_240 ),
inference(resolution,[],[f2634,f895]) ).
fof(f895,plain,
( ! [X0] :
( ~ aElementOf0(sK30(X0),xT)
| ~ sP5(X0) )
| ~ spl55_42 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f12026,plain,
( spl55_662
| ~ spl55_34
| ~ spl55_238 ),
inference(avatar_split_clause,[],[f2668,f2625,f853,f12024]) ).
fof(f12024,plain,
( spl55_662
<=> ! [X0] :
( aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_662])]) ).
fof(f2668,plain,
( ! [X0] :
( aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_34
| ~ spl55_238 ),
inference(resolution,[],[f2626,f854]) ).
fof(f12022,plain,
( spl55_661
| ~ spl55_34
| ~ spl55_237 ),
inference(avatar_split_clause,[],[f2662,f2621,f853,f12020]) ).
fof(f12020,plain,
( spl55_661
<=> ! [X0] :
( aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_661])]) ).
fof(f2662,plain,
( ! [X0] :
( aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_34
| ~ spl55_237 ),
inference(resolution,[],[f2622,f854]) ).
fof(f12018,plain,
( spl55_660
| ~ spl55_84
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2531,f2441,f1116,f12016]) ).
fof(f12016,plain,
( spl55_660
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sP22(X2,sK51(X0,szNzAzT0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_660])]) ).
fof(f1116,plain,
( spl55_84
<=> ! [X0,X1] :
( sP22(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_84])]) ).
fof(f2531,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sP22(X2,sK51(X0,szNzAzT0,X1))
| ~ aSet0(X2) )
| ~ spl55_84
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1117]) ).
fof(f1117,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sP22(X0,X1)
| ~ aSet0(X0) )
| ~ spl55_84 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f12014,plain,
( spl55_659
| ~ spl55_84
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2501,f2441,f1116,f12012]) ).
fof(f12012,plain,
( spl55_659
<=> ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sP22(X2,sK51(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_659])]) ).
fof(f2501,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sP22(X2,sK51(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl55_84
| ~ spl55_232 ),
inference(resolution,[],[f2442,f1117]) ).
fof(f12010,plain,
( spl55_658
| ~ spl55_46
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2327,f2130,f910,f12008]) ).
fof(f12008,plain,
( spl55_658
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sK51(X0,X1,szNzAzT0),sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_658])]) ).
fof(f2327,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sK51(X0,X1,szNzAzT0),sK51(X0,X1,szNzAzT0)) )
| ~ spl55_46
| ~ spl55_216 ),
inference(resolution,[],[f2131,f911]) ).
fof(f12006,plain,
( spl55_657
| ~ spl55_46
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2288,f2118,f910,f12004]) ).
fof(f12004,plain,
( spl55_657
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sdtlseqdt0(sK50(X0,X1,szNzAzT0),sK50(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_657])]) ).
fof(f2288,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sdtlseqdt0(sK50(X0,X1,szNzAzT0),sK50(X0,X1,szNzAzT0)) )
| ~ spl55_46
| ~ spl55_213 ),
inference(resolution,[],[f2119,f911]) ).
fof(f12002,plain,
( spl55_656
| ~ spl55_156
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2015,f1919,f1614,f12000]) ).
fof(f12000,plain,
( spl55_656
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_656])]) ).
fof(f2015,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 )
| ~ spl55_156
| ~ spl55_194 ),
inference(duplicate_literal_removal,[],[f1981]) ).
fof(f1981,plain,
( ! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl55_156
| ~ spl55_194 ),
inference(resolution,[],[f1920,f1615]) ).
fof(f11998,plain,
( spl55_655
| ~ spl55_48
| ~ spl55_193 ),
inference(avatar_split_clause,[],[f1979,f1915,f918,f11996]) ).
fof(f11996,plain,
( spl55_655
<=> ! [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,[spl55_655])]) ).
fof(f918,plain,
( spl55_48
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_48])]) ).
fof(f1915,plain,
( spl55_193
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_193])]) ).
fof(f1979,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ isFinite0(slbdtsldtrb0(X1,X0))
| ~ aSet0(slbdtsldtrb0(X1,X0)) )
| ~ spl55_48
| ~ spl55_193 ),
inference(resolution,[],[f1916,f919]) ).
fof(f919,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_48 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f1916,plain,
( ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) )
| ~ spl55_193 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f11994,plain,
( spl55_654
| ~ spl55_156
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1721,f1622,f1614,f11992]) ).
fof(f11992,plain,
( spl55_654
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK42(X1,X0)),sK42(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_654])]) ).
fof(f1721,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK42(X1,X0)),sK42(X1,X0)) = X0 )
| ~ spl55_156
| ~ spl55_158 ),
inference(duplicate_literal_removal,[],[f1697]) ).
fof(f1697,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK42(X1,X0)),sK42(X1,X0)) = X0
| ~ aSet0(X0) )
| ~ spl55_156
| ~ spl55_158 ),
inference(resolution,[],[f1623,f1615]) ).
fof(f11990,plain,
( spl55_653
| ~ spl55_114
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1714,f1622,f1322,f11988]) ).
fof(f11988,plain,
( spl55_653
<=> ! [X0,X1] :
( aSubsetOf0(szDzozmdt0(X0),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aSet0(X1)
| aElement0(sdtlpdtrp0(X0,sK42(X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_653])]) ).
fof(f1714,plain,
( ! [X0,X1] :
( aSubsetOf0(szDzozmdt0(X0),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aSet0(X1)
| aElement0(sdtlpdtrp0(X0,sK42(X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl55_114
| ~ spl55_158 ),
inference(resolution,[],[f1623,f1323]) ).
fof(f11986,plain,
( spl55_652
| ~ spl55_332
| ~ spl55_635 ),
inference(avatar_split_clause,[],[f11251,f10882,f4017,f11983]) ).
fof(f11983,plain,
( spl55_652
<=> iLess0(xk,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_652])]) ).
fof(f10882,plain,
( spl55_635
<=> xK = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_635])]) ).
fof(f11251,plain,
( iLess0(xk,sK23)
| ~ spl55_332
| ~ spl55_635 ),
inference(superposition,[],[f4019,f10884]) ).
fof(f10884,plain,
( xK = sK23
| ~ spl55_635 ),
inference(avatar_component_clause,[],[f10882]) ).
fof(f11981,plain,
( spl55_651
| ~ spl55_87
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1672,f1614,f1128,f11979]) ).
fof(f11979,plain,
( spl55_651
<=> ! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_651])]) ).
fof(f1672,plain,
( ! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_87
| ~ spl55_156 ),
inference(resolution,[],[f1615,f1129]) ).
fof(f11438,plain,
( ~ spl55_650
| spl55_330
| ~ spl55_635 ),
inference(avatar_split_clause,[],[f11249,f10882,f3999,f11435]) ).
fof(f3999,plain,
( spl55_330
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl55_330])]) ).
fof(f11249,plain,
( xk != sK23
| spl55_330
| ~ spl55_635 ),
inference(superposition,[],[f4001,f10884]) ).
fof(f4001,plain,
( xK != xk
| spl55_330 ),
inference(avatar_component_clause,[],[f3999]) ).
fof(f11403,plain,
( spl55_649
| ~ spl55_22
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3114,f3054,f798,f11401]) ).
fof(f11401,plain,
( spl55_649
<=> ! [X0,X1] :
( aElementOf0(sK49(X0,xN,X1),szNzAzT0)
| aElementOf0(sK49(X0,xN,X1),X1)
| sP17(X0,xN,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_649])]) ).
fof(f3114,plain,
( ! [X0,X1] :
( aElementOf0(sK49(X0,xN,X1),szNzAzT0)
| aElementOf0(sK49(X0,xN,X1),X1)
| sP17(X0,xN,X1)
| ~ aSet0(X1) )
| ~ spl55_22
| ~ spl55_259 ),
inference(superposition,[],[f3055,f800]) ).
fof(f11399,plain,
( spl55_648
| ~ spl55_55
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3072,f3054,f967,f11397]) ).
fof(f11397,plain,
( spl55_648
<=> ! [X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| aSubsetOf0(sK49(X0,xc,X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_648])]) ).
fof(f3072,plain,
( ! [X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| aSubsetOf0(sK49(X0,xc,X1),xS) )
| ~ spl55_55
| ~ spl55_259 ),
inference(resolution,[],[f3055,f968]) ).
fof(f11395,plain,
( spl55_647
| ~ spl55_132
| ~ spl55_258 ),
inference(avatar_split_clause,[],[f3066,f3050,f1442,f11393]) ).
fof(f11393,plain,
( spl55_647
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,X0))
| ~ sP10(xi,X0)
| ~ aElementOf0(sK35(xi,X0),sdtlpdtrp0(xN,xi)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_647])]) ).
fof(f1442,plain,
( spl55_132
<=> ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_132])]) ).
fof(f3066,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,X0))
| ~ sP10(xi,X0)
| ~ aElementOf0(sK35(xi,X0),sdtlpdtrp0(xN,xi)) )
| ~ spl55_132
| ~ spl55_258 ),
inference(resolution,[],[f3051,f1443]) ).
fof(f1443,plain,
( ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
| ~ spl55_132 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f11391,plain,
( spl55_646
| ~ spl55_69
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2595,f2578,f1027,f11389]) ).
fof(f11389,plain,
( spl55_646
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_646])]) ).
fof(f1027,plain,
( spl55_69
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_69])]) ).
fof(f2595,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_69
| ~ spl55_235 ),
inference(resolution,[],[f2579,f1028]) ).
fof(f1028,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_69 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f11387,plain,
( spl55_645
| ~ spl55_37
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2538,f2441,f871,f11385]) ).
fof(f11385,plain,
( spl55_645
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| aSet0(sK51(X0,szDzozmdt0(xc),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_645])]) ).
fof(f2538,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szDzozmdt0(xc),X1),X1)
| sP20(X0,szDzozmdt0(xc),X1)
| aSet0(sK51(X0,szDzozmdt0(xc),X1)) )
| ~ spl55_37
| ~ spl55_232 ),
inference(resolution,[],[f2442,f872]) ).
fof(f11383,plain,
( spl55_644
| ~ spl55_37
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2508,f2441,f871,f11381]) ).
fof(f11381,plain,
( spl55_644
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| aSet0(sK51(X0,X1,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_644])]) ).
fof(f2508,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szDzozmdt0(xc)),X1)
| sP20(X0,X1,szDzozmdt0(xc))
| aSet0(sK51(X0,X1,szDzozmdt0(xc))) )
| ~ spl55_37
| ~ spl55_232 ),
inference(resolution,[],[f2442,f872]) ).
fof(f11369,plain,
( ~ spl55_30
| ~ spl55_6
| spl55_643
| ~ spl55_39
| ~ spl55_220 ),
inference(avatar_split_clause,[],[f2384,f2146,f880,f11367,f719,f835]) ).
fof(f11367,plain,
( spl55_643
<=> ! [X0] :
( aSubsetOf0(X0,xT)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_643])]) ).
fof(f2384,plain,
( ! [X0] :
( aSubsetOf0(X0,xT)
| ~ aSubsetOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0) )
| ~ spl55_39
| ~ spl55_220 ),
inference(resolution,[],[f2147,f882]) ).
fof(f11365,plain,
( spl55_642
| ~ spl55_55
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2336,f2130,f967,f11363]) ).
fof(f11363,plain,
( spl55_642
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| aSubsetOf0(sK51(X0,X1,szDzozmdt0(xc)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_642])]) ).
fof(f2336,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| aSubsetOf0(sK51(X0,X1,szDzozmdt0(xc)),xS) )
| ~ spl55_55
| ~ spl55_216 ),
inference(resolution,[],[f2131,f968]) ).
fof(f11360,plain,
( spl55_641
| ~ spl55_55
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2297,f2118,f967,f11358]) ).
fof(f11358,plain,
( spl55_641
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| aSubsetOf0(sK50(X0,X1,szDzozmdt0(xc)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_641])]) ).
fof(f2297,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| aSubsetOf0(sK50(X0,X1,szDzozmdt0(xc)),xS) )
| ~ spl55_55
| ~ spl55_213 ),
inference(resolution,[],[f2119,f968]) ).
fof(f11356,plain,
( spl55_640
| ~ spl55_120
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1891,f1863,f1347,f11354]) ).
fof(f11354,plain,
( spl55_640
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sK43(X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_640])]) ).
fof(f1891,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sK43(X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_120
| ~ spl55_186 ),
inference(resolution,[],[f1864,f1348]) ).
fof(f11352,plain,
( spl55_639
| ~ spl55_101
| ~ spl55_133 ),
inference(avatar_split_clause,[],[f1469,f1446,f1219,f11350]) ).
fof(f11350,plain,
( spl55_639
<=> ! [X0] :
( aElementOf0(sK48(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_639])]) ).
fof(f1469,plain,
( ! [X0] :
( aElementOf0(sK48(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl55_101
| ~ spl55_133 ),
inference(resolution,[],[f1447,f1220]) ).
fof(f11345,plain,
( spl55_637
| ~ spl55_30
| spl55_638
| ~ spl55_88
| ~ spl55_101 ),
inference(avatar_split_clause,[],[f1291,f1219,f1161,f11342,f835,f11338]) ).
fof(f11338,plain,
( spl55_637
<=> aElementOf0(sK48(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_637])]) ).
fof(f1291,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK48(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)
| ~ spl55_88
| ~ spl55_101 ),
inference(resolution,[],[f1220,f1162]) ).
fof(f10889,plain,
( spl55_635
| spl55_636
| ~ spl55_142
| ~ spl55_386 ),
inference(avatar_split_clause,[],[f4957,f4866,f1499,f10886,f10882]) ).
fof(f10886,plain,
( spl55_636
<=> sP10(sK23,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_636])]) ).
fof(f4866,plain,
( spl55_386
<=> ! [X0] :
( xK = X0
| sP10(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_386])]) ).
fof(f4957,plain,
( sP10(sK23,xK)
| xK = sK23
| ~ spl55_142
| ~ spl55_386 ),
inference(resolution,[],[f4867,f1501]) ).
fof(f4867,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP10(X0,xK)
| xK = X0 )
| ~ spl55_386 ),
inference(avatar_component_clause,[],[f4866]) ).
fof(f10873,plain,
( ~ spl55_14
| spl55_634
| ~ spl55_21
| ~ spl55_277 ),
inference(avatar_split_clause,[],[f3480,f3469,f794,f10871,f759]) ).
fof(f759,plain,
( spl55_14
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_14])]) ).
fof(f10871,plain,
( spl55_634
<=> ! [X0,X1] :
( sK37(X0,X1,slcrc0) = sdtlpdtrp0(X0,sK38(X0,X1,slcrc0))
| sP13(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_634])]) ).
fof(f794,plain,
( spl55_21
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_21])]) ).
fof(f3480,plain,
( ! [X0,X1] :
( sK37(X0,X1,slcrc0) = sdtlpdtrp0(X0,sK38(X0,X1,slcrc0))
| sP13(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_277 ),
inference(resolution,[],[f3470,f795]) ).
fof(f795,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl55_21 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f10869,plain,
( spl55_633
| ~ spl55_79
| ~ spl55_257 ),
inference(avatar_split_clause,[],[f3064,f3046,f1096,f10867]) ).
fof(f10867,plain,
( spl55_633
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_633])]) ).
fof(f1096,plain,
( spl55_79
<=> ! [X2,X0,X1,X3] :
( aSubsetOf0(X1,X3)
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_79])]) ).
fof(f3064,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X0) )
| ~ spl55_79
| ~ spl55_257 ),
inference(resolution,[],[f3047,f1097]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| aSubsetOf0(X1,X3) )
| ~ spl55_79 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f10864,plain,
( ~ spl55_14
| spl55_632
| ~ spl55_52
| ~ spl55_255 ),
inference(avatar_split_clause,[],[f3017,f2785,f935,f10862,f759]) ).
fof(f10862,plain,
( spl55_632
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,sz00,X2)
| sdtlpdtrp0(X1,slcrc0) = X0
| aElementOf0(sK29(X2,slcrc0),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_632])]) ).
fof(f935,plain,
( spl55_52
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_52])]) ).
fof(f3017,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,sz00,X2)
| aElementOf0(sK29(X2,slcrc0),slcrc0)
| ~ aSet0(slcrc0)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl55_52
| ~ spl55_255 ),
inference(superposition,[],[f2786,f937]) ).
fof(f937,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl55_52 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f10859,plain,
( ~ spl55_14
| spl55_631
| ~ spl55_52
| ~ spl55_254 ),
inference(avatar_split_clause,[],[f3011,f2781,f935,f10857,f759]) ).
fof(f10857,plain,
( spl55_631
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,sz00,X2)
| sdtlpdtrp0(X1,slcrc0) = X0
| ~ aElementOf0(sK29(X2,slcrc0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_631])]) ).
fof(f2781,plain,
( spl55_254
<=> ! [X4,X0,X3,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK29(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_254])]) ).
fof(f3011,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,sz00,X2)
| ~ aElementOf0(sK29(X2,slcrc0),X2)
| ~ aSet0(slcrc0)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl55_52
| ~ spl55_254 ),
inference(superposition,[],[f2782,f937]) ).
fof(f2782,plain,
( ! [X3,X0,X1,X4] :
( ~ sP6(X0,X1,sbrdtbr0(X4),X3)
| ~ aElementOf0(sK29(X3,X4),X3)
| ~ aSet0(X4)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl55_254 ),
inference(avatar_component_clause,[],[f2781]) ).
fof(f10855,plain,
( spl55_630
| ~ spl55_68
| ~ spl55_253 ),
inference(avatar_split_clause,[],[f3009,f2777,f1023,f10853]) ).
fof(f10853,plain,
( spl55_630
<=> ! [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,[spl55_630])]) ).
fof(f1023,plain,
( spl55_68
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_68])]) ).
fof(f3009,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_68
| ~ spl55_253 ),
inference(duplicate_literal_removal,[],[f2996]) ).
fof(f2996,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_68
| ~ spl55_253 ),
inference(resolution,[],[f2778,f1024]) ).
fof(f1024,plain,
( ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_68 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f10851,plain,
( spl55_629
| ~ spl55_63
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2972,f2769,f1003,f10849]) ).
fof(f10849,plain,
( spl55_629
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK54(X0,X1,X2),X1)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK54(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_629])]) ).
fof(f2972,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK54(X0,X1,X2),X1)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK54(X0,X1,X2)) )
| ~ spl55_63
| ~ spl55_251 ),
inference(duplicate_literal_removal,[],[f2941]) ).
fof(f2941,plain,
( ! [X2,X0,X1] :
( aSubsetOf0(sK54(X0,X1,X2),X1)
| sP21(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK54(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_251 ),
inference(resolution,[],[f2770,f1004]) ).
fof(f10846,plain,
( spl55_628
| ~ spl55_64
| ~ spl55_250 ),
inference(avatar_split_clause,[],[f2923,f2765,f1007,f10844]) ).
fof(f10844,plain,
( spl55_628
<=> ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK53(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_628])]) ).
fof(f2923,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK53(X1,X2,X0)) )
| ~ spl55_64
| ~ spl55_250 ),
inference(duplicate_literal_removal,[],[f2916]) ).
fof(f2916,plain,
( ! [X2,X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK53(X1,X2,X0))
| ~ aSet0(X1) )
| ~ spl55_64
| ~ spl55_250 ),
inference(resolution,[],[f2766,f1008]) ).
fof(f10842,plain,
( spl55_627
| ~ spl55_63
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2872,f2753,f1003,f10840]) ).
fof(f10840,plain,
( spl55_627
<=> ! [X2,X0,X1] :
( aElementOf0(sK38(X0,X1,X2),X1)
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK37(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_627])]) ).
fof(f2872,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK38(X0,X1,X2),X1)
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK37(X0,X1,X2)) )
| ~ spl55_63
| ~ spl55_247 ),
inference(duplicate_literal_removal,[],[f2841]) ).
fof(f2841,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK38(X0,X1,X2),X1)
| sP13(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK37(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_247 ),
inference(resolution,[],[f2754,f1004]) ).
fof(f10838,plain,
( spl55_626
| ~ spl55_84
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2330,f2130,f1116,f10836]) ).
fof(f10836,plain,
( spl55_626
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sP22(X2,sK51(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_626])]) ).
fof(f2330,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sP22(X2,sK51(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl55_84
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1117]) ).
fof(f10834,plain,
( spl55_625
| ~ spl55_128
| ~ spl55_215 ),
inference(avatar_split_clause,[],[f2316,f2126,f1379,f10832]) ).
fof(f10832,plain,
( spl55_625
<=> ! [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,[spl55_625])]) ).
fof(f1379,plain,
( spl55_128
<=> ! [X0,X1] :
( sP20(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_128])]) ).
fof(f2126,plain,
( spl55_215
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_215])]) ).
fof(f2316,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) )
| ~ spl55_128
| ~ spl55_215 ),
inference(resolution,[],[f2127,f1380]) ).
fof(f1380,plain,
( ! [X0,X1] :
( sP20(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl55_128 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f2127,plain,
( ! [X2,X0,X1,X4] :
( ~ sP20(X0,X1,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl55_215 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f10830,plain,
( spl55_624
| ~ spl55_84
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2291,f2118,f1116,f10828]) ).
fof(f10828,plain,
( spl55_624
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sP22(X2,sK50(X0,X1,szNzAzT0))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_624])]) ).
fof(f2291,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sP22(X2,sK50(X0,X1,szNzAzT0))
| ~ aSet0(X2) )
| ~ spl55_84
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1117]) ).
fof(f10826,plain,
( spl55_623
| ~ spl55_84
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2234,f2114,f1116,f10824]) ).
fof(f10824,plain,
( spl55_623
<=> ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sP22(X2,sK44(X0,X1))
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_623])]) ).
fof(f2234,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sP22(X2,sK44(X0,X1))
| ~ aSet0(X2) )
| ~ spl55_84
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1117]) ).
fof(f10822,plain,
( spl55_622
| ~ spl55_46
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2231,f2114,f910,f10820]) ).
fof(f10820,plain,
( spl55_622
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK44(X0,X1),sK44(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_622])]) ).
fof(f2231,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sK44(X0,X1),sK44(X0,X1)) )
| ~ spl55_46
| ~ spl55_212 ),
inference(resolution,[],[f2115,f911]) ).
fof(f10818,plain,
( spl55_621
| ~ spl55_202
| ~ spl55_208 ),
inference(avatar_split_clause,[],[f2196,f2098,f1952,f10816]) ).
fof(f10816,plain,
( spl55_621
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,sK31(X0,sdtlpdtrp0(X0,X1)))
| ~ sP4(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_621])]) ).
fof(f1952,plain,
( spl55_202
<=> ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_202])]) ).
fof(f2098,plain,
( spl55_208
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK31(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_208])]) ).
fof(f2196,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,sK31(X0,sdtlpdtrp0(X0,X1)))
| ~ sP4(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ spl55_202
| ~ spl55_208 ),
inference(duplicate_literal_removal,[],[f2190]) ).
fof(f2190,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,sK31(X0,sdtlpdtrp0(X0,X1)))
| ~ sP4(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP4(X0) )
| ~ spl55_202
| ~ spl55_208 ),
inference(resolution,[],[f2099,f1953]) ).
fof(f1953,plain,
( ! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP4(X0) )
| ~ spl55_202 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f2099,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,sK31(X0,X1)) = X1
| ~ sP4(X0) )
| ~ spl55_208 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f10814,plain,
( spl55_620
| ~ spl55_126
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1678,f1614,f1371,f10812]) ).
fof(f10812,plain,
( spl55_620
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_620])]) ).
fof(f1678,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_126
| ~ spl55_156 ),
inference(resolution,[],[f1615,f1372]) ).
fof(f10810,plain,
( spl55_619
| ~ spl55_120
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1536,f1495,f1347,f10808]) ).
fof(f10808,plain,
( spl55_619
<=> ! [X0] :
( sz00 = sK43(X0)
| sK43(X0) = szszuzczcdt0(sK43(sK43(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_619])]) ).
fof(f1495,plain,
( spl55_141
<=> ! [X0] :
( szszuzczcdt0(sK43(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_141])]) ).
fof(f1536,plain,
( ! [X0] :
( sz00 = sK43(X0)
| sK43(X0) = szszuzczcdt0(sK43(sK43(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_120
| ~ spl55_141 ),
inference(resolution,[],[f1496,f1348]) ).
fof(f1496,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK43(X0)) = X0 )
| ~ spl55_141 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f10806,plain,
( spl55_618
| ~ spl55_122
| ~ spl55_140 ),
inference(avatar_split_clause,[],[f1522,f1491,f1355,f10804]) ).
fof(f10804,plain,
( spl55_618
<=> ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK46(X1)))
| ~ aSet0(slbdtrb0(sK46(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_618])]) ).
fof(f1522,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK46(X1)))
| ~ aSet0(slbdtrb0(sK46(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl55_122
| ~ spl55_140 ),
inference(resolution,[],[f1492,f1356]) ).
fof(f10802,plain,
( spl55_617
| ~ spl55_48
| ~ spl55_138 ),
inference(avatar_split_clause,[],[f1520,f1483,f918,f10800]) ).
fof(f10800,plain,
( spl55_617
<=> ! [X0,X3,X2,X1] :
( ~ sP7(X0,X1,X2,X3)
| ~ isFinite0(sK28(X0,X1,X2,X3))
| ~ aSet0(sK28(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_617])]) ).
fof(f1483,plain,
( spl55_138
<=> ! [X0,X3,X2,X1] :
( isCountable0(sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_138])]) ).
fof(f1520,plain,
( ! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,X3)
| ~ isFinite0(sK28(X0,X1,X2,X3))
| ~ aSet0(sK28(X0,X1,X2,X3)) )
| ~ spl55_48
| ~ spl55_138 ),
inference(resolution,[],[f1484,f919]) ).
fof(f1484,plain,
( ! [X2,X3,X0,X1] :
( isCountable0(sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) )
| ~ spl55_138 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f10651,plain,
( spl55_616
| ~ spl55_37
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3073,f3054,f871,f10649]) ).
fof(f10649,plain,
( spl55_616
<=> ! [X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| aSet0(sK49(X0,xc,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_616])]) ).
fof(f3073,plain,
( ! [X0,X1] :
( aElementOf0(sK49(X0,xc,X1),X1)
| sP17(X0,xc,X1)
| ~ aSet0(X1)
| aSet0(sK49(X0,xc,X1)) )
| ~ spl55_37
| ~ spl55_259 ),
inference(resolution,[],[f3055,f872]) ).
fof(f10628,plain,
( ~ spl55_20
| spl55_615
| ~ spl55_31
| ~ spl55_256 ),
inference(avatar_split_clause,[],[f3044,f3022,f840,f10626,f789]) ).
fof(f789,plain,
( spl55_20
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_20])]) ).
fof(f10626,plain,
( spl55_615
<=> ! [X0,X1] :
( ~ aElementOf0(X0,xS)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aElementOf0(X0,sdtlpdtrp0(xN,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_615])]) ).
fof(f840,plain,
( spl55_31
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_31])]) ).
fof(f3044,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,sz00)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl55_31
| ~ spl55_256 ),
inference(superposition,[],[f3023,f842]) ).
fof(f842,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl55_31 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f10609,plain,
( ~ spl55_17
| spl55_614
| ~ spl55_76
| ~ spl55_256 ),
inference(avatar_split_clause,[],[f3027,f3022,f1080,f10607,f774]) ).
fof(f10607,plain,
( spl55_614
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xi) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_614])]) ).
fof(f3027,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) )
| ~ spl55_76
| ~ spl55_256 ),
inference(resolution,[],[f3023,f1082]) ).
fof(f10604,plain,
( ~ spl55_10
| spl55_613
| ~ spl55_24
| ~ spl55_255 ),
inference(avatar_split_clause,[],[f3020,f2785,f808,f10602,f739]) ).
fof(f739,plain,
( spl55_10
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_10])]) ).
fof(f10602,plain,
( spl55_613
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,xk,X2)
| sdtlpdtrp0(X1,xQ) = X0
| aElementOf0(sK29(X2,xQ),xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_613])]) ).
fof(f808,plain,
( spl55_24
<=> xk = sbrdtbr0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_24])]) ).
fof(f3020,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,xk,X2)
| aElementOf0(sK29(X2,xQ),xQ)
| ~ aSet0(xQ)
| sdtlpdtrp0(X1,xQ) = X0 )
| ~ spl55_24
| ~ spl55_255 ),
inference(superposition,[],[f2786,f810]) ).
fof(f810,plain,
( xk = sbrdtbr0(xQ)
| ~ spl55_24 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f10599,plain,
( ~ spl55_10
| spl55_612
| ~ spl55_24
| ~ spl55_254 ),
inference(avatar_split_clause,[],[f3014,f2781,f808,f10597,f739]) ).
fof(f10597,plain,
( spl55_612
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,xk,X2)
| sdtlpdtrp0(X1,xQ) = X0
| ~ aElementOf0(sK29(X2,xQ),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_612])]) ).
fof(f3014,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,xk,X2)
| ~ aElementOf0(sK29(X2,xQ),X2)
| ~ aSet0(xQ)
| sdtlpdtrp0(X1,xQ) = X0 )
| ~ spl55_24
| ~ spl55_254 ),
inference(superposition,[],[f2782,f810]) ).
fof(f10543,plain,
( ~ spl55_19
| spl55_611
| ~ spl55_23
| ~ spl55_252 ),
inference(avatar_split_clause,[],[f2993,f2773,f803,f10541,f784]) ).
fof(f784,plain,
( spl55_19
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_19])]) ).
fof(f10541,plain,
( spl55_611
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0
| aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_611])]) ).
fof(f803,plain,
( spl55_23
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_23])]) ).
fof(f2773,plain,
( spl55_252
<=> ! [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,[spl55_252])]) ).
fof(f2993,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xK))
| aElementOf0(X0,slbdtrb0(xk))
| xk = X0
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_23
| ~ spl55_252 ),
inference(superposition,[],[f2774,f805]) ).
fof(f805,plain,
( xK = szszuzczcdt0(xk)
| ~ spl55_23 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f2774,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| aElementOf0(X0,slbdtrb0(X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_252 ),
inference(avatar_component_clause,[],[f2773]) ).
fof(f10539,plain,
( spl55_610
| ~ spl55_37
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2337,f2130,f871,f10537]) ).
fof(f10537,plain,
( spl55_610
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| aSet0(sK51(X0,X1,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_610])]) ).
fof(f2337,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szDzozmdt0(xc)))
| sP20(X0,X1,szDzozmdt0(xc))
| aSet0(sK51(X0,X1,szDzozmdt0(xc))) )
| ~ spl55_37
| ~ spl55_216 ),
inference(resolution,[],[f2131,f872]) ).
fof(f10535,plain,
( spl55_609
| ~ spl55_37
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2298,f2118,f871,f10533]) ).
fof(f10533,plain,
( spl55_609
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| aSet0(sK50(X0,X1,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_609])]) ).
fof(f2298,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szDzozmdt0(xc)))
| sP19(X0,X1,szDzozmdt0(xc))
| aSet0(sK50(X0,X1,szDzozmdt0(xc))) )
| ~ spl55_37
| ~ spl55_213 ),
inference(resolution,[],[f2119,f872]) ).
fof(f10531,plain,
( ~ spl55_226
| ~ spl55_52
| spl55_243 ),
inference(avatar_split_clause,[],[f6913,f2645,f935,f2181]) ).
fof(f2181,plain,
( spl55_226
<=> sz00 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_226])]) ).
fof(f2645,plain,
( spl55_243
<=> sK23 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_243])]) ).
fof(f6913,plain,
( sz00 != sK23
| ~ spl55_52
| spl55_243 ),
inference(superposition,[],[f2646,f937]) ).
fof(f2646,plain,
( sK23 != sbrdtbr0(slcrc0)
| spl55_243 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f10530,plain,
( spl55_608
| ~ spl55_100
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1892,f1863,f1215,f10528]) ).
fof(f10528,plain,
( spl55_608
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sK46(X1))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_608])]) ).
fof(f1892,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sK46(X1))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl55_100
| ~ spl55_186 ),
inference(resolution,[],[f1864,f1216]) ).
fof(f10526,plain,
( spl55_607
| ~ spl55_120
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1594,f1568,f1347,f10524]) ).
fof(f10524,plain,
( spl55_607
<=> ! [X0,X1] :
( sK43(X1) = X0
| sP10(X0,sK43(X1))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_607])]) ).
fof(f1594,plain,
( ! [X0,X1] :
( sK43(X1) = X0
| sP10(X0,sK43(X1))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_120
| ~ spl55_150 ),
inference(resolution,[],[f1569,f1348]) ).
fof(f10520,plain,
( ~ spl55_605
| spl55_606
| ~ spl55_89
| ~ spl55_130 ),
inference(avatar_split_clause,[],[f1456,f1434,f1165,f10517,f10513]) ).
fof(f10513,plain,
( spl55_605
<=> aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_605])]) ).
fof(f10517,plain,
( spl55_606
<=> aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_606])]) ).
fof(f1434,plain,
( spl55_130
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_130])]) ).
fof(f1456,plain,
( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ~ spl55_89
| ~ spl55_130 ),
inference(trivial_inequality_removal,[],[f1455]) ).
fof(f1455,plain,
( xK != xK
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ~ spl55_89
| ~ spl55_130 ),
inference(superposition,[],[f1435,f1167]) ).
fof(f1435,plain,
( ! [X4] :
( xK != sbrdtbr0(X4)
| aElementOf0(X4,szDzozmdt0(xc))
| ~ aSubsetOf0(X4,xS) )
| ~ spl55_130 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f9799,plain,
( spl55_604
| ~ spl55_47
| ~ spl55_226
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2551,f2441,f2181,f914,f9797]) ).
fof(f9797,plain,
( spl55_604
<=> ! [X0,X1] :
( sdtlseqdt0(sK23,sK51(X0,szNzAzT0,X1))
| aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_604])]) ).
fof(f2551,plain,
( ! [X0,X1] :
( sdtlseqdt0(sK23,sK51(X0,szNzAzT0,X1))
| aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1) )
| ~ spl55_47
| ~ spl55_226
| ~ spl55_232 ),
inference(forward_demodulation,[],[f2529,f2183]) ).
fof(f2183,plain,
( sz00 = sK23
| ~ spl55_226 ),
inference(avatar_component_clause,[],[f2181]) ).
fof(f2529,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK51(X0,szNzAzT0,X1)) )
| ~ spl55_47
| ~ spl55_232 ),
inference(resolution,[],[f2442,f915]) ).
fof(f9794,plain,
( spl55_226
| spl55_603
| ~ spl55_142
| ~ spl55_385 ),
inference(avatar_split_clause,[],[f4923,f4862,f1499,f9791,f2181]) ).
fof(f9791,plain,
( spl55_603
<=> sP10(sK23,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_603])]) ).
fof(f4862,plain,
( spl55_385
<=> ! [X0] :
( sz00 = X0
| sP10(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_385])]) ).
fof(f4923,plain,
( sP10(sK23,sz00)
| sz00 = sK23
| ~ spl55_142
| ~ spl55_385 ),
inference(resolution,[],[f4863,f1501]) ).
fof(f4863,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP10(X0,sz00)
| sz00 = X0 )
| ~ spl55_385 ),
inference(avatar_component_clause,[],[f4862]) ).
fof(f9714,plain,
( spl55_602
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3448,f3366,f9712]) ).
fof(f9712,plain,
( spl55_602
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,X1,X1),X1)
| sK50(X0,X1,X1) = X0
| sP19(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_602])]) ).
fof(f3448,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,X1,X1),X1)
| sK50(X0,X1,X1) = X0
| sP19(X0,X1,X1) )
| ~ spl55_274 ),
inference(factoring,[],[f3367]) ).
fof(f9710,plain,
( spl55_601
| ~ spl55_21
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3415,f3366,f794,f9708]) ).
fof(f9708,plain,
( spl55_601
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,slcrc0,X1),X1)
| sK50(X0,slcrc0,X1) = X0
| sP19(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_601])]) ).
fof(f3415,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,slcrc0,X1),X1)
| sK50(X0,slcrc0,X1) = X0
| sP19(X0,slcrc0,X1) )
| ~ spl55_21
| ~ spl55_274 ),
inference(resolution,[],[f3367,f795]) ).
fof(f9706,plain,
( spl55_600
| ~ spl55_21
| ~ spl55_274 ),
inference(avatar_split_clause,[],[f3378,f3366,f794,f9704]) ).
fof(f9704,plain,
( spl55_600
<=> ! [X0,X1] :
( aElementOf0(sK50(X0,X1,slcrc0),X1)
| sK50(X0,X1,slcrc0) = X0
| sP19(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_600])]) ).
fof(f3378,plain,
( ! [X0,X1] :
( aElementOf0(sK50(X0,X1,slcrc0),X1)
| sK50(X0,X1,slcrc0) = X0
| sP19(X0,X1,slcrc0) )
| ~ spl55_21
| ~ spl55_274 ),
inference(resolution,[],[f3367,f795]) ).
fof(f9701,plain,
( spl55_599
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f3113,f3054,f9699]) ).
fof(f9699,plain,
( spl55_599
<=> ! [X0,X1] :
( aElementOf0(sK49(X0,X1,szDzozmdt0(X1)),szDzozmdt0(X1))
| sP17(X0,X1,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_599])]) ).
fof(f3113,plain,
( ! [X0,X1] :
( aElementOf0(sK49(X0,X1,szDzozmdt0(X1)),szDzozmdt0(X1))
| sP17(X0,X1,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl55_259 ),
inference(factoring,[],[f3055]) ).
fof(f9697,plain,
( spl55_598
| ~ spl55_62
| ~ spl55_257 ),
inference(avatar_split_clause,[],[f3065,f3046,f999,f9695]) ).
fof(f9695,plain,
( spl55_598
<=> ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| aSet0(sK32(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_598])]) ).
fof(f999,plain,
( spl55_62
<=> ! [X2,X0,X1,X3] :
( aSet0(X1)
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_62])]) ).
fof(f3065,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2)
| aSet0(sK32(X0,X1,X2)) )
| ~ spl55_62
| ~ spl55_257 ),
inference(resolution,[],[f3047,f1000]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| aSet0(X1) )
| ~ spl55_62 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f9684,plain,
( ~ spl55_14
| ~ spl55_11
| spl55_597
| ~ spl55_52
| ~ spl55_241 ),
inference(avatar_split_clause,[],[f2727,f2637,f935,f9682,f744,f759]) ).
fof(f744,plain,
( spl55_11
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).
fof(f9682,plain,
( spl55_597
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK52(slcrc0,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_597])]) ).
fof(f2727,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz00)
| sbrdtbr0(sK52(slcrc0,X0)) = X0
| ~ isFinite0(slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slcrc0) )
| ~ spl55_52
| ~ spl55_241 ),
inference(superposition,[],[f2638,f937]) ).
fof(f9680,plain,
( spl55_596
| ~ spl55_47
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2529,f2441,f914,f9678]) ).
fof(f9678,plain,
( spl55_596
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sdtlseqdt0(sz00,sK51(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_596])]) ).
fof(f9676,plain,
( spl55_595
| ~ spl55_45
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2527,f2441,f906,f9674]) ).
fof(f9674,plain,
( spl55_595
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK51(X0,szNzAzT0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_595])]) ).
fof(f2527,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| isFinite0(slbdtrb0(sK51(X0,szNzAzT0,X1))) )
| ~ spl55_45
| ~ spl55_232 ),
inference(resolution,[],[f2442,f907]) ).
fof(f9672,plain,
( spl55_594
| ~ spl55_47
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2499,f2441,f914,f9670]) ).
fof(f9670,plain,
( spl55_594
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_594])]) ).
fof(f2499,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK51(X0,X1,szNzAzT0)) )
| ~ spl55_47
| ~ spl55_232 ),
inference(resolution,[],[f2442,f915]) ).
fof(f9668,plain,
( spl55_593
| ~ spl55_45
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2497,f2441,f906,f9666]) ).
fof(f9666,plain,
( spl55_593
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK51(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_593])]) ).
fof(f2497,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK51(X0,X1,szNzAzT0))) )
| ~ spl55_45
| ~ spl55_232 ),
inference(resolution,[],[f2442,f907]) ).
fof(f9664,plain,
( spl55_592
| ~ spl55_63
| ~ spl55_222 ),
inference(avatar_split_clause,[],[f2400,f2154,f1003,f9662]) ).
fof(f9662,plain,
( spl55_592
<=> ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sK36(X0,X1,szDzozmdt0(X0)))
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_592])]) ).
fof(f2154,plain,
( spl55_222
<=> ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK36(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_222])]) ).
fof(f2400,plain,
( ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sK36(X0,X1,szDzozmdt0(X0)))
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_63
| ~ spl55_222 ),
inference(resolution,[],[f2155,f1004]) ).
fof(f2155,plain,
( ! [X0,X1] :
( aElementOf0(sK36(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl55_222 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f9660,plain,
( spl55_591
| ~ spl55_63
| ~ spl55_219 ),
inference(avatar_split_clause,[],[f2375,f2142,f1003,f9658]) ).
fof(f9658,plain,
( spl55_591
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_591])]) ).
fof(f2142,plain,
( spl55_219
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_219])]) ).
fof(f2375,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X1))) )
| ~ spl55_63
| ~ spl55_219 ),
inference(resolution,[],[f2143,f1004]) ).
fof(f2143,plain,
( ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_219 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f9656,plain,
( spl55_590
| ~ spl55_101
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2224,f2110,f1219,f9654]) ).
fof(f9654,plain,
( spl55_590
<=> ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK48(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_590])]) ).
fof(f2224,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK48(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl55_101
| ~ spl55_211 ),
inference(duplicate_literal_removal,[],[f2223]) ).
fof(f2223,plain,
( ! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK48(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl55_101
| ~ spl55_211 ),
inference(resolution,[],[f2111,f1220]) ).
fof(f9652,plain,
( spl55_589
| ~ spl55_105
| ~ spl55_210 ),
inference(avatar_split_clause,[],[f2198,f2106,f1235,f9650]) ).
fof(f9650,plain,
( spl55_589
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| sdtlpdtrp0(X1,sK39(X1,X2,X0)) = X0
| ~ sP14(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_589])]) ).
fof(f1235,plain,
( spl55_105
<=> ! [X0,X1] :
( sP13(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_105])]) ).
fof(f2106,plain,
( spl55_210
<=> ! [X0,X6,X2,X1] :
( sdtlpdtrp0(X0,sK39(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP13(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_210])]) ).
fof(f2198,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| sdtlpdtrp0(X1,sK39(X1,X2,X0)) = X0
| ~ sP14(X2,X1) )
| ~ spl55_105
| ~ spl55_210 ),
inference(resolution,[],[f2107,f1236]) ).
fof(f1236,plain,
( ! [X0,X1] :
( sP13(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP14(X0,X1) )
| ~ spl55_105 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f2107,plain,
( ! [X2,X0,X1,X6] :
( ~ sP13(X0,X1,X2)
| ~ aElementOf0(X6,X2)
| sdtlpdtrp0(X0,sK39(X0,X1,X6)) = X6 )
| ~ spl55_210 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f9648,plain,
( spl55_588
| ~ spl55_176
| ~ spl55_196 ),
inference(avatar_split_clause,[],[f2027,f1927,f1800,f9646]) ).
fof(f9646,plain,
( spl55_588
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP15(szszuzczcdt0(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_588])]) ).
fof(f1927,plain,
( spl55_196
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_196])]) ).
fof(f2027,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ sP15(szszuzczcdt0(X1),X2) )
| ~ spl55_176
| ~ spl55_196 ),
inference(duplicate_literal_removal,[],[f2024]) ).
fof(f2024,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP15(szszuzczcdt0(X1),X2) )
| ~ spl55_176
| ~ spl55_196 ),
inference(resolution,[],[f1928,f1801]) ).
fof(f1928,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_196 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f9644,plain,
( ~ spl55_6
| spl55_587
| ~ spl55_42
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2010,f1919,f894,f9642,f719]) ).
fof(f9642,plain,
( spl55_587
<=> ! [X0] :
( xT = sdtmndt0(sdtpldt0(xT,sK30(X0)),sK30(X0))
| ~ sP5(X0)
| ~ aElement0(sK30(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_587])]) ).
fof(f2010,plain,
( ! [X0] :
( xT = sdtmndt0(sdtpldt0(xT,sK30(X0)),sK30(X0))
| ~ aSet0(xT)
| ~ aElement0(sK30(X0))
| ~ sP5(X0) )
| ~ spl55_42
| ~ spl55_194 ),
inference(resolution,[],[f1920,f895]) ).
fof(f9640,plain,
( spl55_586
| ~ spl55_106
| ~ spl55_181 ),
inference(avatar_split_clause,[],[f1847,f1820,f1239,f9638]) ).
fof(f9638,plain,
( spl55_586
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| aElementOf0(X0,sdtlbdtrb0(X1,sdtlpdtrp0(X1,X0)))
| ~ sP18(X1,sdtlpdtrp0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_586])]) ).
fof(f1239,plain,
( spl55_106
<=> ! [X0,X1] :
( sP17(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP18(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_106])]) ).
fof(f1820,plain,
( spl55_181
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP17(sdtlpdtrp0(X1,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_181])]) ).
fof(f1847,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| aElementOf0(X0,sdtlbdtrb0(X1,sdtlpdtrp0(X1,X0)))
| ~ sP18(X1,sdtlpdtrp0(X1,X0)) )
| ~ spl55_106
| ~ spl55_181 ),
inference(resolution,[],[f1821,f1240]) ).
fof(f1240,plain,
( ! [X0,X1] :
( sP17(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP18(X0,X1) )
| ~ spl55_106 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1821,plain,
( ! [X2,X1,X4] :
( ~ sP17(sdtlpdtrp0(X1,X4),X1,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| aElementOf0(X4,X2) )
| ~ spl55_181 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f9636,plain,
( spl55_585
| ~ spl55_94
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f1661,f1602,f1191,f9634]) ).
fof(f9634,plain,
( spl55_585
<=> ! [X0,X3,X2,X1] :
( ~ sP7(X0,X1,X2,szDzozmdt0(X3))
| sP12(sK28(X0,X1,X2,szDzozmdt0(X3)),X3)
| ~ aFunction0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_585])]) ).
fof(f1661,plain,
( ! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,szDzozmdt0(X3))
| sP12(sK28(X0,X1,X2,szDzozmdt0(X3)),X3)
| ~ aFunction0(X3) )
| ~ spl55_94
| ~ spl55_153 ),
inference(resolution,[],[f1603,f1192]) ).
fof(f9632,plain,
( spl55_584
| ~ spl55_95
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f1660,f1602,f1195,f9630]) ).
fof(f9630,plain,
( spl55_584
<=> ! [X0,X3,X2,X1] :
( ~ sP7(X0,X1,X2,szDzozmdt0(X3))
| sP14(sK28(X0,X1,X2,szDzozmdt0(X3)),X3)
| ~ aFunction0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_584])]) ).
fof(f1660,plain,
( ! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,szDzozmdt0(X3))
| sP14(sK28(X0,X1,X2,szDzozmdt0(X3)),X3)
| ~ aFunction0(X3) )
| ~ spl55_95
| ~ spl55_153 ),
inference(resolution,[],[f1603,f1196]) ).
fof(f9628,plain,
( spl55_583
| ~ spl55_100
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1537,f1495,f1215,f9626]) ).
fof(f9626,plain,
( spl55_583
<=> ! [X0] :
( sz00 = sK46(X0)
| sK46(X0) = szszuzczcdt0(sK43(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_583])]) ).
fof(f1537,plain,
( ! [X0] :
( sz00 = sK46(X0)
| sK46(X0) = szszuzczcdt0(sK43(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) )
| ~ spl55_100
| ~ spl55_141 ),
inference(resolution,[],[f1496,f1216]) ).
fof(f9624,plain,
( spl55_582
| ~ spl55_123
| ~ spl55_140 ),
inference(avatar_split_clause,[],[f1524,f1491,f1359,f9622]) ).
fof(f9622,plain,
( spl55_582
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_582])]) ).
fof(f1524,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) )
| ~ spl55_123
| ~ spl55_140 ),
inference(resolution,[],[f1492,f1360]) ).
fof(f9620,plain,
( spl55_581
| ~ spl55_114
| ~ spl55_126 ),
inference(avatar_split_clause,[],[f1424,f1371,f1322,f9618]) ).
fof(f9618,plain,
( spl55_581
<=> ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzizndt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_581])]) ).
fof(f1424,plain,
( ! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzizndt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl55_114
| ~ spl55_126 ),
inference(resolution,[],[f1372,f1323]) ).
fof(f9430,plain,
( ~ spl55_226
| ~ spl55_52
| spl55_243 ),
inference(avatar_split_clause,[],[f6913,f2645,f935,f2181]) ).
fof(f9202,plain,
( spl55_580
| ~ spl55_47
| ~ spl55_226
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2549,f2441,f2181,f914,f9200]) ).
fof(f9200,plain,
( spl55_580
<=> ! [X0,X1] :
( sdtlseqdt0(sK23,sK51(X0,X1,szNzAzT0))
| aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_580])]) ).
fof(f2549,plain,
( ! [X0,X1] :
( sdtlseqdt0(sK23,sK51(X0,X1,szNzAzT0))
| aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0) )
| ~ spl55_47
| ~ spl55_226
| ~ spl55_232 ),
inference(forward_demodulation,[],[f2499,f2183]) ).
fof(f9154,plain,
( spl55_226
| ~ spl55_142
| ~ spl55_578 ),
inference(avatar_split_clause,[],[f8741,f8723,f1499,f2181]) ).
fof(f8723,plain,
( spl55_578
<=> ! [X1] :
( sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_578])]) ).
fof(f8741,plain,
( sz00 = sK23
| ~ spl55_142
| ~ spl55_578 ),
inference(resolution,[],[f8724,f1501]) ).
fof(f8724,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sz00 = X1 )
| ~ spl55_578 ),
inference(avatar_component_clause,[],[f8723]) ).
fof(f8728,plain,
( ~ spl55_20
| spl55_578
| spl55_579
| ~ spl55_31
| ~ spl55_261 ),
inference(avatar_split_clause,[],[f3202,f3178,f840,f8726,f8723,f789]) ).
fof(f8726,plain,
( spl55_579
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_579])]) ).
fof(f3178,plain,
( spl55_261
<=> ! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_261])]) ).
fof(f3202,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0)
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl55_31
| ~ spl55_261 ),
inference(superposition,[],[f3179,f842]) ).
fof(f3179,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_261 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f8721,plain,
( spl55_577
| ~ spl55_31
| ~ spl55_246 ),
inference(avatar_split_clause,[],[f2804,f2749,f840,f8719]) ).
fof(f8719,plain,
( spl55_577
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| aElementOf0(sK35(sz00,X0),sdtlpdtrp0(xN,X0))
| ~ sP10(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_577])]) ).
fof(f2804,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| aElementOf0(sK35(sz00,X0),sdtlpdtrp0(xN,X0))
| ~ sP10(sz00,X0) )
| ~ spl55_31
| ~ spl55_246 ),
inference(superposition,[],[f2750,f842]) ).
fof(f8716,plain,
( ~ spl55_20
| spl55_576
| ~ spl55_31
| ~ spl55_244 ),
inference(avatar_split_clause,[],[f2740,f2737,f840,f8714,f789]) ).
fof(f8714,plain,
( spl55_576
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_576])]) ).
fof(f2737,plain,
( spl55_244
<=> ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_244])]) ).
fof(f2740,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl55_31
| ~ spl55_244 ),
inference(superposition,[],[f2738,f842]) ).
fof(f2738,plain,
( ! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_244 ),
inference(avatar_component_clause,[],[f2737]) ).
fof(f8697,plain,
( ~ spl55_10
| ~ spl55_340
| spl55_575
| ~ spl55_24
| ~ spl55_241 ),
inference(avatar_split_clause,[],[f2730,f2637,f808,f8695,f4112,f739]) ).
fof(f4112,plain,
( spl55_340
<=> isFinite0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_340])]) ).
fof(f8695,plain,
( spl55_575
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(sK52(xQ,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_575])]) ).
fof(f2730,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sbrdtbr0(sK52(xQ,X0)) = X0
| ~ isFinite0(xQ)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xQ) )
| ~ spl55_24
| ~ spl55_241 ),
inference(superposition,[],[f2638,f810]) ).
fof(f8693,plain,
( spl55_574
| ~ spl55_40
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2546,f2441,f885,f8691]) ).
fof(f8691,plain,
( spl55_574
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,xS,X1),X1)
| sP20(X0,xS,X1)
| aElementOf0(sK51(X0,xS,X1),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_574])]) ).
fof(f2546,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,xS,X1),X1)
| sP20(X0,xS,X1)
| aElementOf0(sK51(X0,xS,X1),szNzAzT0) )
| ~ spl55_40
| ~ spl55_232 ),
inference(resolution,[],[f2442,f886]) ).
fof(f8689,plain,
( spl55_573
| ~ spl55_40
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2516,f2441,f885,f8687]) ).
fof(f8687,plain,
( spl55_573
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,xS),X1)
| sP20(X0,X1,xS)
| aElementOf0(sK51(X0,X1,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_573])]) ).
fof(f2516,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,xS),X1)
| sP20(X0,X1,xS)
| aElementOf0(sK51(X0,X1,xS),szNzAzT0) )
| ~ spl55_40
| ~ spl55_232 ),
inference(resolution,[],[f2442,f886]) ).
fof(f8685,plain,
( spl55_572
| ~ spl55_82
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1883,f1863,f1108,f8683]) ).
fof(f8683,plain,
( spl55_572
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_572])]) ).
fof(f1883,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_82
| ~ spl55_186 ),
inference(resolution,[],[f1864,f1109]) ).
fof(f8681,plain,
( spl55_571
| ~ spl55_89
| ~ spl55_157 ),
inference(avatar_split_clause,[],[f1693,f1618,f1165,f8679]) ).
fof(f8679,plain,
( spl55_571
<=> ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_571])]) ).
fof(f1693,plain,
( ! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_89
| ~ spl55_157 ),
inference(superposition,[],[f1619,f1167]) ).
fof(f8677,plain,
( spl55_570
| ~ spl55_100
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1595,f1568,f1215,f8675]) ).
fof(f8675,plain,
( spl55_570
<=> ! [X0,X1] :
( sK46(X1) = X0
| sP10(X0,sK46(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_570])]) ).
fof(f1595,plain,
( ! [X0,X1] :
( sK46(X1) = X0
| sP10(X0,sK46(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ spl55_100
| ~ spl55_150 ),
inference(resolution,[],[f1569,f1216]) ).
fof(f8083,plain,
( spl55_569
| ~ spl55_236
| ~ spl55_245 ),
inference(avatar_split_clause,[],[f2790,f2745,f2617,f8081]) ).
fof(f8081,plain,
( spl55_569
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP1(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_569])]) ).
fof(f2617,plain,
( spl55_236
<=> ! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_236])]) ).
fof(f2790,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP1(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP0(X1) )
| ~ spl55_236
| ~ spl55_245 ),
inference(resolution,[],[f2746,f2618]) ).
fof(f2618,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP0(X0) )
| ~ spl55_236 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f8079,plain,
( spl55_568
| ~ spl55_99
| ~ spl55_233 ),
inference(avatar_split_clause,[],[f2562,f2445,f1211,f8077]) ).
fof(f8077,plain,
( spl55_568
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK52(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_568])]) ).
fof(f2562,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK52(X1,X0)) )
| ~ spl55_99
| ~ spl55_233 ),
inference(duplicate_literal_removal,[],[f2556]) ).
fof(f2556,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| isFinite0(sK52(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_99
| ~ spl55_233 ),
inference(resolution,[],[f2446,f1212]) ).
fof(f8075,plain,
( spl55_567
| ~ spl55_64
| ~ spl55_233 ),
inference(avatar_split_clause,[],[f2561,f2445,f1007,f8073]) ).
fof(f8073,plain,
( spl55_567
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK52(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_567])]) ).
fof(f2561,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK52(X1,X0)) )
| ~ spl55_64
| ~ spl55_233 ),
inference(duplicate_literal_removal,[],[f2557]) ).
fof(f2557,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(sK52(X1,X0))
| ~ aSet0(X1) )
| ~ spl55_64
| ~ spl55_233 ),
inference(resolution,[],[f2446,f1008]) ).
fof(f8071,plain,
( spl55_566
| ~ spl55_36
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2526,f2441,f861,f8069]) ).
fof(f8069,plain,
( spl55_566
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sP16(sK51(X0,szNzAzT0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_566])]) ).
fof(f2526,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,szNzAzT0,X1),X1)
| sP20(X0,szNzAzT0,X1)
| sP16(sK51(X0,szNzAzT0,X1)) )
| ~ spl55_36
| ~ spl55_232 ),
inference(resolution,[],[f2442,f862]) ).
fof(f8067,plain,
( spl55_565
| ~ spl55_36
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2496,f2441,f861,f8065]) ).
fof(f8065,plain,
( spl55_565
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sP16(sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_565])]) ).
fof(f2496,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,szNzAzT0),X1)
| sP20(X0,X1,szNzAzT0)
| sP16(sK51(X0,X1,szNzAzT0)) )
| ~ spl55_36
| ~ spl55_232 ),
inference(resolution,[],[f2442,f862]) ).
fof(f8063,plain,
( spl55_564
| ~ spl55_63
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2482,f2437,f1003,f8061]) ).
fof(f8061,plain,
( spl55_564
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElement0(sK44(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_564])]) ).
fof(f2482,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElement0(sK44(X0,X1)) )
| ~ spl55_63
| ~ spl55_231 ),
inference(duplicate_literal_removal,[],[f2454]) ).
fof(f2454,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElement0(sK44(X0,X1))
| ~ aSet0(X1) )
| ~ spl55_63
| ~ spl55_231 ),
inference(resolution,[],[f2438,f1004]) ).
fof(f8059,plain,
( spl55_563
| ~ spl55_66
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2448,f2437,f1015,f8057]) ).
fof(f8057,plain,
( spl55_563
<=> ! [X0] :
( aElementOf0(sK44(sz00,X0),X0)
| sP15(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK44(sz00,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_563])]) ).
fof(f1015,plain,
( spl55_66
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_66])]) ).
fof(f2448,plain,
( ! [X0] :
( aElementOf0(sK44(sz00,X0),X0)
| sP15(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK44(sz00,X0),szNzAzT0) )
| ~ spl55_66
| ~ spl55_231 ),
inference(resolution,[],[f2438,f1016]) ).
fof(f1016,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_66 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f8055,plain,
( spl55_562
| ~ spl55_114
| ~ spl55_222 ),
inference(avatar_split_clause,[],[f2402,f2154,f1322,f8053]) ).
fof(f8053,plain,
( spl55_562
<=> ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,sK36(X0,X1,szDzozmdt0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_562])]) ).
fof(f2402,plain,
( ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,sK36(X0,X1,szDzozmdt0(X0)))) )
| ~ spl55_114
| ~ spl55_222 ),
inference(duplicate_literal_removal,[],[f2397]) ).
fof(f2397,plain,
( ! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| aElement0(sdtlpdtrp0(X0,sK36(X0,X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) )
| ~ spl55_114
| ~ spl55_222 ),
inference(resolution,[],[f2155,f1323]) ).
fof(f8051,plain,
( spl55_561
| ~ spl55_68
| ~ spl55_218 ),
inference(avatar_split_clause,[],[f2372,f2138,f1023,f8049]) ).
fof(f8049,plain,
( spl55_561
<=> ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_561])]) ).
fof(f2372,plain,
( ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ spl55_68
| ~ spl55_218 ),
inference(duplicate_literal_removal,[],[f2361]) ).
fof(f2361,plain,
( ! [X0] :
( szszuzczcdt0(X0) = X0
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_68
| ~ spl55_218 ),
inference(resolution,[],[f2139,f1024]) ).
fof(f8047,plain,
( spl55_560
| ~ spl55_47
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2328,f2130,f914,f8045]) ).
fof(f8045,plain,
( spl55_560
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_560])]) ).
fof(f2328,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK51(X0,X1,szNzAzT0)) )
| ~ spl55_47
| ~ spl55_216 ),
inference(resolution,[],[f2131,f915]) ).
fof(f8043,plain,
( spl55_559
| ~ spl55_45
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2326,f2130,f906,f8041]) ).
fof(f8041,plain,
( spl55_559
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK51(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_559])]) ).
fof(f2326,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK51(X0,X1,szNzAzT0))) )
| ~ spl55_45
| ~ spl55_216 ),
inference(resolution,[],[f2131,f907]) ).
fof(f8039,plain,
( spl55_558
| ~ spl55_47
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2289,f2118,f914,f8037]) ).
fof(f8037,plain,
( spl55_558
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK50(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_558])]) ).
fof(f2289,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sdtlseqdt0(sz00,sK50(X0,X1,szNzAzT0)) )
| ~ spl55_47
| ~ spl55_213 ),
inference(resolution,[],[f2119,f915]) ).
fof(f8035,plain,
( spl55_557
| ~ spl55_45
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2287,f2118,f906,f8033]) ).
fof(f8033,plain,
( spl55_557
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK50(X0,X1,szNzAzT0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_557])]) ).
fof(f2287,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| isFinite0(slbdtrb0(sK50(X0,X1,szNzAzT0))) )
| ~ spl55_45
| ~ spl55_213 ),
inference(resolution,[],[f2119,f907]) ).
fof(f8031,plain,
( spl55_556
| ~ spl55_47
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2232,f2114,f914,f8029]) ).
fof(f8029,plain,
( spl55_556
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK44(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_556])]) ).
fof(f2232,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sdtlseqdt0(sz00,sK44(X0,X1)) )
| ~ spl55_47
| ~ spl55_212 ),
inference(resolution,[],[f2115,f915]) ).
fof(f8027,plain,
( spl55_555
| ~ spl55_45
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2230,f2114,f906,f8025]) ).
fof(f8025,plain,
( spl55_555
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK44(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_555])]) ).
fof(f2230,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| isFinite0(slbdtrb0(sK44(X0,X1))) )
| ~ spl55_45
| ~ spl55_212 ),
inference(resolution,[],[f2115,f907]) ).
fof(f8023,plain,
( spl55_554
| ~ spl55_63
| ~ spl55_202 ),
inference(avatar_split_clause,[],[f2058,f1952,f1003,f8021]) ).
fof(f8021,plain,
( spl55_554
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP4(X1)
| aElement0(sdtlpdtrp0(X1,X0))
| ~ aSet0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_554])]) ).
fof(f2058,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP4(X1)
| aElement0(sdtlpdtrp0(X1,X0))
| ~ aSet0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
| ~ spl55_63
| ~ spl55_202 ),
inference(resolution,[],[f1953,f1004]) ).
fof(f8019,plain,
( spl55_553
| ~ spl55_64
| ~ spl55_198 ),
inference(avatar_split_clause,[],[f2039,f1935,f1007,f8017]) ).
fof(f8017,plain,
( spl55_553
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_553])]) ).
fof(f2039,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X1)) )
| ~ spl55_64
| ~ spl55_198 ),
inference(resolution,[],[f1936,f1008]) ).
fof(f8015,plain,
( spl55_552
| ~ spl55_104
| ~ spl55_191 ),
inference(avatar_split_clause,[],[f1968,f1907,f1231,f8013]) ).
fof(f8013,plain,
( spl55_552
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| sdtlpdtrp0(X2,X0) = sdtlpdtrp0(sdtexdt0(X2,X1),X0)
| ~ sP12(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_552])]) ).
fof(f1231,plain,
( spl55_104
<=> ! [X0,X1] :
( sP11(sdtexdt0(X1,X0),X1,X0)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_104])]) ).
fof(f1907,plain,
( spl55_191
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_191])]) ).
fof(f1968,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| sdtlpdtrp0(X2,X0) = sdtlpdtrp0(sdtexdt0(X2,X1),X0)
| ~ sP12(X1,X2) )
| ~ spl55_104
| ~ spl55_191 ),
inference(resolution,[],[f1908,f1232]) ).
fof(f1232,plain,
( ! [X0,X1] :
( sP11(sdtexdt0(X1,X0),X1,X0)
| ~ sP12(X0,X1) )
| ~ spl55_104 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1908,plain,
( ! [X2,X0,X1,X4] :
( ~ sP11(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4) )
| ~ spl55_191 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f8011,plain,
( spl55_551
| ~ spl55_176
| ~ spl55_179 ),
inference(avatar_split_clause,[],[f1845,f1812,f1800,f8009]) ).
fof(f8009,plain,
( spl55_551
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP15(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_551])]) ).
fof(f1845,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ sP15(X0,X2) )
| ~ spl55_176
| ~ spl55_179 ),
inference(duplicate_literal_removal,[],[f1843]) ).
fof(f1843,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sP15(X0,X2) )
| ~ spl55_176
| ~ spl55_179 ),
inference(resolution,[],[f1813,f1801]) ).
fof(f8007,plain,
( ~ spl55_226
| ~ spl55_52
| spl55_243 ),
inference(avatar_split_clause,[],[f6913,f2645,f935,f2181]) ).
fof(f8006,plain,
( spl55_550
| ~ spl55_127
| ~ spl55_177 ),
inference(avatar_split_clause,[],[f1832,f1804,f1375,f8004]) ).
fof(f8004,plain,
( spl55_550
<=> ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_550])]) ).
fof(f1375,plain,
( spl55_127
<=> ! [X0,X1] :
( sP19(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_127])]) ).
fof(f1804,plain,
( spl55_177
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_177])]) ).
fof(f1832,plain,
( ! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl55_127
| ~ spl55_177 ),
inference(resolution,[],[f1805,f1376]) ).
fof(f1376,plain,
( ! [X0,X1] :
( sP19(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl55_127 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1805,plain,
( ! [X2,X0,X1,X4] :
( ~ sP19(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 )
| ~ spl55_177 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f8002,plain,
( spl55_549
| ~ spl55_68
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1830,f1800,f1023,f8000]) ).
fof(f8000,plain,
( spl55_549
<=> ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP15(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_549])]) ).
fof(f1830,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP15(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ spl55_68
| ~ spl55_176 ),
inference(resolution,[],[f1801,f1024]) ).
fof(f7998,plain,
( spl55_548
| ~ spl55_99
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f1658,f1602,f1211,f7996]) ).
fof(f7996,plain,
( spl55_548
<=> ! [X0,X3,X2,X1] :
( ~ sP7(X0,X1,X2,X3)
| isFinite0(sK28(X0,X1,X2,X3))
| ~ isFinite0(X3)
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_548])]) ).
fof(f1658,plain,
( ! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,X3)
| isFinite0(sK28(X0,X1,X2,X3))
| ~ isFinite0(X3)
| ~ aSet0(X3) )
| ~ spl55_99
| ~ spl55_153 ),
inference(resolution,[],[f1603,f1212]) ).
fof(f7994,plain,
( spl55_547
| ~ spl55_82
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1531,f1495,f1108,f7992]) ).
fof(f7992,plain,
( spl55_547
<=> ! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK43(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_547])]) ).
fof(f1531,plain,
( ! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK43(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_82
| ~ spl55_141 ),
inference(resolution,[],[f1496,f1109]) ).
fof(f7990,plain,
( spl55_546
| ~ spl55_101
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1384,f1322,f1219,f7988]) ).
fof(f7988,plain,
( spl55_546
<=> ! [X0] :
( aElement0(sdtlpdtrp0(X0,sK48(szDzozmdt0(X0))))
| ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_546])]) ).
fof(f1384,plain,
( ! [X0] :
( aElement0(sdtlpdtrp0(X0,sK48(szDzozmdt0(X0))))
| ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_101
| ~ spl55_114 ),
inference(resolution,[],[f1323,f1220]) ).
fof(f7917,plain,
( spl55_545
| ~ spl55_66
| ~ spl55_226
| ~ spl55_231 ),
inference(avatar_split_clause,[],[f2487,f2437,f2181,f1015,f7915]) ).
fof(f7915,plain,
( spl55_545
<=> ! [X0] :
( ~ aElementOf0(sK44(sK23,X0),szNzAzT0)
| sP15(sK23,X0)
| aElementOf0(sK44(sK23,X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_545])]) ).
fof(f2487,plain,
( ! [X0] :
( ~ aElementOf0(sK44(sK23,X0),szNzAzT0)
| sP15(sK23,X0)
| aElementOf0(sK44(sK23,X0),X0)
| ~ aSet0(X0) )
| ~ spl55_66
| ~ spl55_226
| ~ spl55_231 ),
inference(forward_demodulation,[],[f2486,f2183]) ).
fof(f2486,plain,
( ! [X0] :
( sP15(sK23,X0)
| aElementOf0(sK44(sK23,X0),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK44(sz00,X0),szNzAzT0) )
| ~ spl55_66
| ~ spl55_226
| ~ spl55_231 ),
inference(forward_demodulation,[],[f2485,f2183]) ).
fof(f2485,plain,
( ! [X0] :
( aElementOf0(sK44(sK23,X0),X0)
| sP15(sz00,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK44(sz00,X0),szNzAzT0) )
| ~ spl55_66
| ~ spl55_226
| ~ spl55_231 ),
inference(forward_demodulation,[],[f2448,f2183]) ).
fof(f7912,plain,
( spl55_544
| ~ spl55_46
| ~ spl55_295 ),
inference(avatar_split_clause,[],[f4053,f3648,f910,f7909]) ).
fof(f7909,plain,
( spl55_544
<=> sdtlseqdt0(sK43(sK23),sK43(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_544])]) ).
fof(f3648,plain,
( spl55_295
<=> aElementOf0(sK43(sK23),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_295])]) ).
fof(f4053,plain,
( sdtlseqdt0(sK43(sK23),sK43(sK23))
| ~ spl55_46
| ~ spl55_295 ),
inference(resolution,[],[f3649,f911]) ).
fof(f3649,plain,
( aElementOf0(sK43(sK23),szNzAzT0)
| ~ spl55_295 ),
inference(avatar_component_clause,[],[f3648]) ).
fof(f7827,plain,
( spl55_543
| ~ spl55_31
| ~ spl55_258 ),
inference(avatar_split_clause,[],[f3069,f3050,f840,f7825]) ).
fof(f7825,plain,
( spl55_543
<=> ! [X0] :
( ~ sdtlseqdt0(szmzizndt0(xS),sK35(sz00,X0))
| ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| ~ sP10(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_543])]) ).
fof(f3069,plain,
( ! [X0] :
( ~ sdtlseqdt0(szmzizndt0(xS),sK35(sz00,X0))
| ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| ~ sP10(sz00,X0) )
| ~ spl55_31
| ~ spl55_258 ),
inference(superposition,[],[f3051,f842]) ).
fof(f7820,plain,
( ~ spl55_5
| spl55_542
| spl55_541
| ~ spl55_22
| ~ spl55_238 ),
inference(avatar_split_clause,[],[f2672,f2625,f798,f7788,f7817,f714]) ).
fof(f7817,plain,
( spl55_542
<=> aElementOf0(sK41(xN),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_542])]) ).
fof(f7788,plain,
( spl55_541
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ isCountable0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_541])]) ).
fof(f2672,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK41(xN),szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_238 ),
inference(superposition,[],[f2626,f800]) ).
fof(f7790,plain,
( ~ spl55_5
| spl55_540
| spl55_541
| ~ spl55_22
| ~ spl55_237 ),
inference(avatar_split_clause,[],[f2666,f2621,f798,f7788,f7784,f714]) ).
fof(f7784,plain,
( spl55_540
<=> aElementOf0(sK40(xN),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_540])]) ).
fof(f2666,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK40(xN),szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_237 ),
inference(superposition,[],[f2622,f800]) ).
fof(f7782,plain,
( spl55_539
| ~ spl55_40
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2345,f2130,f885,f7780]) ).
fof(f7780,plain,
( spl55_539
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,xS))
| sP20(X0,X1,xS)
| aElementOf0(sK51(X0,X1,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_539])]) ).
fof(f2345,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,xS))
| sP20(X0,X1,xS)
| aElementOf0(sK51(X0,X1,xS),szNzAzT0) )
| ~ spl55_40
| ~ spl55_216 ),
inference(resolution,[],[f2131,f886]) ).
fof(f7778,plain,
( spl55_538
| ~ spl55_40
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2306,f2118,f885,f7776]) ).
fof(f7776,plain,
( spl55_538
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,xS))
| sP19(X0,X1,xS)
| aElementOf0(sK50(X0,X1,xS),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_538])]) ).
fof(f2306,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,xS))
| sP19(X0,X1,xS)
| aElementOf0(sK50(X0,X1,xS),szNzAzT0) )
| ~ spl55_40
| ~ spl55_213 ),
inference(resolution,[],[f2119,f886]) ).
fof(f7774,plain,
( spl55_537
| ~ spl55_69
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1882,f1863,f1027,f7772]) ).
fof(f7772,plain,
( spl55_537
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_537])]) ).
fof(f1882,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_69
| ~ spl55_186 ),
inference(resolution,[],[f1864,f1028]) ).
fof(f7770,plain,
( spl55_536
| ~ spl55_82
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1588,f1568,f1108,f7768]) ).
fof(f7768,plain,
( spl55_536
<=> ! [X0,X1] :
( sbrdtbr0(X1) = X0
| sP10(X0,sbrdtbr0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_536])]) ).
fof(f1588,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) = X0
| sP10(X0,sbrdtbr0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_82
| ~ spl55_150 ),
inference(resolution,[],[f1569,f1109]) ).
fof(f7766,plain,
( spl55_535
| ~ spl55_77
| ~ spl55_134 ),
inference(avatar_split_clause,[],[f1472,f1450,f1085,f7764]) ).
fof(f7764,plain,
( spl55_535
<=> ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP9(sdtlpdtrp0(xN,X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_535])]) ).
fof(f1085,plain,
( spl55_77
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_77])]) ).
fof(f1472,plain,
( ! [X0,X1] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP9(sdtlpdtrp0(xN,X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_77
| ~ spl55_134 ),
inference(resolution,[],[f1451,f1086]) ).
fof(f1086,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_77 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f7485,plain,
( ~ spl55_14
| spl55_534
| ~ spl55_21
| ~ spl55_265 ),
inference(avatar_split_clause,[],[f3276,f3216,f794,f7483,f759]) ).
fof(f7483,plain,
( spl55_534
<=> ! [X0,X1] :
( sdtlpdtrp0(X0,sK49(X1,X0,slcrc0)) = X1
| sP17(X1,X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_534])]) ).
fof(f3276,plain,
( ! [X0,X1] :
( sdtlpdtrp0(X0,sK49(X1,X0,slcrc0)) = X1
| sP17(X1,X0,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_265 ),
inference(resolution,[],[f3217,f795]) ).
fof(f7481,plain,
( spl55_533
| ~ spl55_36
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2325,f2130,f861,f7479]) ).
fof(f7479,plain,
( spl55_533
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sP16(sK51(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_533])]) ).
fof(f2325,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0)
| sP16(sK51(X0,X1,szNzAzT0)) )
| ~ spl55_36
| ~ spl55_216 ),
inference(resolution,[],[f2131,f862]) ).
fof(f7477,plain,
( spl55_532
| ~ spl55_36
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2286,f2118,f861,f7475]) ).
fof(f7475,plain,
( spl55_532
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sP16(sK50(X0,X1,szNzAzT0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_532])]) ).
fof(f2286,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0)
| sP16(sK50(X0,X1,szNzAzT0)) )
| ~ spl55_36
| ~ spl55_213 ),
inference(resolution,[],[f2119,f862]) ).
fof(f7471,plain,
( spl55_531
| ~ spl55_63
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2273,f2114,f1003,f7469]) ).
fof(f7469,plain,
( spl55_531
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElement0(sK44(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_531])]) ).
fof(f2273,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElement0(sK44(X0,X1)) )
| ~ spl55_63
| ~ spl55_212 ),
inference(duplicate_literal_removal,[],[f2243]) ).
fof(f2243,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),szNzAzT0)
| sP15(X0,X1)
| ~ aSet0(X1)
| aElement0(sK44(X0,X1))
| ~ aSet0(X1) )
| ~ spl55_63
| ~ spl55_212 ),
inference(resolution,[],[f2115,f1004]) ).
fof(f7467,plain,
( spl55_530
| ~ spl55_36
| ~ spl55_212 ),
inference(avatar_split_clause,[],[f2229,f2114,f861,f7465]) ).
fof(f7465,plain,
( spl55_530
<=> ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sP16(sK44(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_530])]) ).
fof(f2229,plain,
( ! [X0,X1] :
( aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1)
| sP16(sK44(X0,X1)) )
| ~ spl55_36
| ~ spl55_212 ),
inference(resolution,[],[f2115,f862]) ).
fof(f7463,plain,
( spl55_529
| ~ spl55_190
| ~ spl55_202 ),
inference(avatar_split_clause,[],[f2061,f1952,f1903,f7461]) ).
fof(f7461,plain,
( spl55_529
<=> ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP4(X1)
| aElementOf0(sK31(X1,sdtlpdtrp0(X1,X0)),szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_529])]) ).
fof(f2061,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP4(X1)
| aElementOf0(sK31(X1,sdtlpdtrp0(X1,X0)),szDzozmdt0(X1)) )
| ~ spl55_190
| ~ spl55_202 ),
inference(duplicate_literal_removal,[],[f2056]) ).
fof(f2056,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ sP4(X1)
| aElementOf0(sK31(X1,sdtlpdtrp0(X1,X0)),szDzozmdt0(X1))
| ~ sP4(X1) )
| ~ spl55_190
| ~ spl55_202 ),
inference(resolution,[],[f1953,f1904]) ).
fof(f7459,plain,
( spl55_528
| ~ spl55_105
| ~ spl55_175 ),
inference(avatar_split_clause,[],[f1829,f1796,f1235,f7457]) ).
fof(f7457,plain,
( spl55_528
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK39(X1,X2,X0),X2)
| ~ sP14(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_528])]) ).
fof(f1796,plain,
( spl55_175
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK39(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP13(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_175])]) ).
fof(f1829,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK39(X1,X2,X0),X2)
| ~ sP14(X2,X1) )
| ~ spl55_105
| ~ spl55_175 ),
inference(resolution,[],[f1797,f1236]) ).
fof(f1797,plain,
( ! [X2,X0,X1,X6] :
( ~ sP13(X0,X1,X2)
| ~ aElementOf0(X6,X2)
| aElementOf0(sK39(X0,X1,X6),X1) )
| ~ spl55_175 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f7455,plain,
( spl55_527
| ~ spl55_127
| ~ spl55_163 ),
inference(avatar_split_clause,[],[f1728,f1642,f1375,f7453]) ).
fof(f7453,plain,
( spl55_527
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_527])]) ).
fof(f1642,plain,
( spl55_163
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_163])]) ).
fof(f1728,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) )
| ~ spl55_127
| ~ spl55_163 ),
inference(resolution,[],[f1643,f1376]) ).
fof(f1643,plain,
( ! [X2,X0,X1,X4] :
( ~ sP19(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl55_163 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f7451,plain,
( spl55_526
| ~ spl55_101
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1690,f1614,f1219,f7449]) ).
fof(f7449,plain,
( spl55_526
<=> ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK48(X0)),sK48(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_526])]) ).
fof(f1690,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK48(X0)),sK48(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl55_101
| ~ spl55_156 ),
inference(duplicate_literal_removal,[],[f1689]) ).
fof(f1689,plain,
( ! [X0] :
( sdtpldt0(sdtmndt0(X0,sK48(X0)),sK48(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl55_101
| ~ spl55_156 ),
inference(resolution,[],[f1615,f1220]) ).
fof(f7447,plain,
( spl55_525
| ~ spl55_69
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1530,f1495,f1027,f7445]) ).
fof(f7445,plain,
( spl55_525
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK43(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_525])]) ).
fof(f1530,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK43(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_69
| ~ spl55_141 ),
inference(resolution,[],[f1496,f1028]) ).
fof(f7443,plain,
( spl55_524
| ~ spl55_99
| ~ spl55_123 ),
inference(avatar_split_clause,[],[f1400,f1359,f1211,f7441]) ).
fof(f7441,plain,
( spl55_524
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_524])]) ).
fof(f1400,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl55_99
| ~ spl55_123 ),
inference(resolution,[],[f1360,f1212]) ).
fof(f7439,plain,
( spl55_523
| ~ spl55_48
| ~ spl55_118 ),
inference(avatar_split_clause,[],[f1387,f1338,f918,f7437]) ).
fof(f7437,plain,
( spl55_523
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_523])]) ).
fof(f1338,plain,
( spl55_118
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_118])]) ).
fof(f1387,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) )
| ~ spl55_48
| ~ spl55_118 ),
inference(resolution,[],[f1339,f919]) ).
fof(f1339,plain,
( ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl55_118 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f7435,plain,
( spl55_522
| ~ spl55_48
| ~ spl55_117 ),
inference(avatar_split_clause,[],[f1386,f1334,f918,f7433]) ).
fof(f7433,plain,
( spl55_522
<=> ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_522])]) ).
fof(f1334,plain,
( spl55_117
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_117])]) ).
fof(f1386,plain,
( ! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) )
| ~ spl55_48
| ~ spl55_117 ),
inference(resolution,[],[f1335,f919]) ).
fof(f1335,plain,
( ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl55_117 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f7330,plain,
( spl55_521
| ~ spl55_31
| ~ spl55_246 ),
inference(avatar_split_clause,[],[f2805,f2749,f840,f7328]) ).
fof(f7328,plain,
( spl55_521
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),xS)
| aElementOf0(sK35(X0,sz00),xS)
| ~ sP10(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_521])]) ).
fof(f2805,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),xS)
| aElementOf0(sK35(X0,sz00),xS)
| ~ sP10(X0,sz00) )
| ~ spl55_31
| ~ spl55_246 ),
inference(superposition,[],[f2750,f842]) ).
fof(f7326,plain,
( spl55_520
| ~ spl55_17
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2601,f2578,f774,f7324]) ).
fof(f7324,plain,
( spl55_520
<=> ! [X0] :
( xi = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_520])]) ).
fof(f2601,plain,
( ! [X0] :
( xi = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_17
| ~ spl55_235 ),
inference(resolution,[],[f2579,f776]) ).
fof(f776,plain,
( aElementOf0(xi,szNzAzT0)
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f7322,plain,
( spl55_519
| ~ spl55_19
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2600,f2578,f784,f7320]) ).
fof(f7320,plain,
( spl55_519
<=> ! [X0] :
( xk = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_519])]) ).
fof(f2600,plain,
( ! [X0] :
( xk = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_19
| ~ spl55_235 ),
inference(resolution,[],[f2579,f786]) ).
fof(f786,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f7291,plain,
( spl55_518
| ~ spl55_16
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2599,f2578,f769,f7289]) ).
fof(f7289,plain,
( spl55_518
<=> ! [X0] :
( xK = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_518])]) ).
fof(f769,plain,
( spl55_16
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).
fof(f2599,plain,
( ! [X0] :
( xK = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_16
| ~ spl55_235 ),
inference(resolution,[],[f2579,f771]) ).
fof(f771,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f7287,plain,
( spl55_517
| ~ spl55_20
| ~ spl55_235 ),
inference(avatar_split_clause,[],[f2594,f2578,f789,f7285]) ).
fof(f7285,plain,
( spl55_517
<=> ! [X0] :
( sz00 = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_517])]) ).
fof(f2594,plain,
( ! [X0] :
( sz00 = X0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_20
| ~ spl55_235 ),
inference(resolution,[],[f2579,f791]) ).
fof(f791,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f7276,plain,
( ~ spl55_20
| spl55_516
| ~ spl55_31
| ~ spl55_227 ),
inference(avatar_split_clause,[],[f2431,f2406,f840,f7274,f789]) ).
fof(f2406,plain,
( spl55_227
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_227])]) ).
fof(f2431,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_31
| ~ spl55_227 ),
inference(superposition,[],[f2407,f842]) ).
fof(f2407,plain,
( ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_227 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f7266,plain,
( ~ spl55_20
| spl55_515
| ~ spl55_31
| ~ spl55_227 ),
inference(avatar_split_clause,[],[f2430,f2406,f840,f7264,f789]) ).
fof(f7264,plain,
( spl55_515
<=> ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_515])]) ).
fof(f2430,plain,
( ! [X0] :
( aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl55_31
| ~ spl55_227 ),
inference(superposition,[],[f2407,f842]) ).
fof(f7228,plain,
( ~ spl55_19
| spl55_514
| ~ spl55_23
| ~ spl55_219 ),
inference(avatar_split_clause,[],[f2377,f2142,f803,f7226,f784]) ).
fof(f7226,plain,
( spl55_514
<=> ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_514])]) ).
fof(f2377,plain,
( ! [X0] :
( aElementOf0(X0,slbdtrb0(xK))
| ~ aElementOf0(X0,slbdtrb0(xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_23
| ~ spl55_219 ),
inference(superposition,[],[f2143,f805]) ).
fof(f7224,plain,
( spl55_513
| ~ spl55_147
| ~ spl55_151 ),
inference(avatar_split_clause,[],[f1597,f1572,f1555,f7222]) ).
fof(f7222,plain,
( spl55_513
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,sK24(sdtlpdtrp0(xc,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_513])]) ).
fof(f1555,plain,
( spl55_147
<=> ! [X1] :
( sdtlpdtrp0(xc,sK24(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_147])]) ).
fof(f1572,plain,
( spl55_151
<=> ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_151])]) ).
fof(f1597,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,sK24(sdtlpdtrp0(xc,X0))) )
| ~ spl55_147
| ~ spl55_151 ),
inference(resolution,[],[f1573,f1556]) ).
fof(f1556,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,sK24(X1)) = X1 )
| ~ spl55_147 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1573,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) )
| ~ spl55_151 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f7220,plain,
( spl55_512
| ~ spl55_69
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1587,f1568,f1027,f7218]) ).
fof(f7218,plain,
( spl55_512
<=> ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| sP10(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_512])]) ).
fof(f1587,plain,
( ! [X0,X1] :
( szszuzczcdt0(X1) = X0
| sP10(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_69
| ~ spl55_150 ),
inference(resolution,[],[f1569,f1028]) ).
fof(f7088,plain,
( ~ spl55_14
| spl55_511
| ~ spl55_21
| ~ spl55_260 ),
inference(avatar_split_clause,[],[f3142,f3058,f794,f7086,f759]) ).
fof(f7086,plain,
( spl55_511
<=> ! [X0,X1] :
( sbrdtbr0(sK54(X0,X1,slcrc0)) = X0
| sP21(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_511])]) ).
fof(f3142,plain,
( ! [X0,X1] :
( sbrdtbr0(sK54(X0,X1,slcrc0)) = X0
| sP21(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_260 ),
inference(resolution,[],[f3059,f795]) ).
fof(f7084,plain,
( spl55_510
| ~ spl55_221
| ~ spl55_245 ),
inference(avatar_split_clause,[],[f2796,f2745,f2150,f7082]) ).
fof(f7082,plain,
( spl55_510
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_510])]) ).
fof(f2150,plain,
( spl55_221
<=> ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_221])]) ).
fof(f2796,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0)
| ~ sP0(X0) )
| ~ spl55_221
| ~ spl55_245 ),
inference(resolution,[],[f2746,f2151]) ).
fof(f2151,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) )
| ~ spl55_221 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f7064,plain,
( ~ spl55_14
| ~ spl55_11
| spl55_509
| ~ spl55_21
| ~ spl55_52
| ~ spl55_240 ),
inference(avatar_split_clause,[],[f2719,f2633,f935,f794,f7062,f744,f759]) ).
fof(f7062,plain,
( spl55_509
<=> ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_509])]) ).
fof(f2719,plain,
( ! [X0] :
( szszuzczcdt0(sz00) = sbrdtbr0(sdtpldt0(slcrc0,X0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_52
| ~ spl55_240 ),
inference(forward_demodulation,[],[f2677,f937]) ).
fof(f2677,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(slcrc0,X0)) = szszuzczcdt0(sbrdtbr0(slcrc0))
| ~ aElement0(X0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_240 ),
inference(resolution,[],[f2634,f795]) ).
fof(f7060,plain,
( spl55_508
| ~ spl55_91
| ~ spl55_208 ),
inference(avatar_split_clause,[],[f2192,f2098,f1179,f7058]) ).
fof(f7058,plain,
( spl55_508
<=> ! [X0] :
( sK30(X0) = sdtlpdtrp0(X0,sK31(X0,sK30(X0)))
| ~ sP4(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_508])]) ).
fof(f2192,plain,
( ! [X0] :
( sK30(X0) = sdtlpdtrp0(X0,sK31(X0,sK30(X0)))
| ~ sP4(X0)
| ~ sP5(X0) )
| ~ spl55_91
| ~ spl55_208 ),
inference(resolution,[],[f2099,f1180]) ).
fof(f7056,plain,
( spl55_507
| ~ spl55_52
| ~ spl55_201 ),
inference(avatar_split_clause,[],[f2051,f1948,f935,f7054]) ).
fof(f7054,plain,
( spl55_507
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,sz00,X2)
| ~ aSubsetOf0(slcrc0,X2)
| sdtlpdtrp0(X1,slcrc0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_507])]) ).
fof(f2051,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,sz00,X2)
| ~ aSubsetOf0(slcrc0,X2)
| sdtlpdtrp0(X1,slcrc0) = X0 )
| ~ spl55_52
| ~ spl55_201 ),
inference(superposition,[],[f1949,f937]) ).
fof(f7049,plain,
( ~ spl55_20
| spl55_506
| ~ spl55_28
| ~ spl55_199 ),
inference(avatar_split_clause,[],[f2046,f1939,f825,f7047,f789]) ).
fof(f7047,plain,
( spl55_506
<=> ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_506])]) ).
fof(f825,plain,
( spl55_28
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_28])]) ).
fof(f2046,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(X0),slcrc0)
| sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_28
| ~ spl55_199 ),
inference(superposition,[],[f1940,f827]) ).
fof(f827,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ spl55_28 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f7039,plain,
( ~ spl55_20
| spl55_505
| ~ spl55_28
| ~ spl55_198 ),
inference(avatar_split_clause,[],[f2041,f1935,f825,f7037,f789]) ).
fof(f7037,plain,
( spl55_505
<=> ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_505])]) ).
fof(f2041,plain,
( ! [X0] :
( aSubsetOf0(slbdtrb0(X0),slcrc0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_28
| ~ spl55_198 ),
inference(superposition,[],[f1936,f827]) ).
fof(f7029,plain,
( ~ spl55_226
| ~ spl55_52
| spl55_243 ),
inference(avatar_split_clause,[],[f6913,f2645,f935,f2181]) ).
fof(f7028,plain,
( ~ spl55_20
| spl55_504
| ~ spl55_28
| ~ spl55_198 ),
inference(avatar_split_clause,[],[f2040,f1935,f825,f7026,f789]) ).
fof(f7026,plain,
( spl55_504
<=> ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_504])]) ).
fof(f2040,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl55_28
| ~ spl55_198 ),
inference(superposition,[],[f1936,f827]) ).
fof(f7024,plain,
( spl55_503
| ~ spl55_63
| ~ spl55_166 ),
inference(avatar_split_clause,[],[f1738,f1654,f1003,f7022]) ).
fof(f7022,plain,
( spl55_503
<=> ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_503])]) ).
fof(f1738,plain,
( ! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) )
| ~ spl55_63
| ~ spl55_166 ),
inference(resolution,[],[f1655,f1004]) ).
fof(f7020,plain,
( spl55_502
| ~ spl55_105
| ~ spl55_165 ),
inference(avatar_split_clause,[],[f1736,f1650,f1235,f7018]) ).
fof(f7018,plain,
( spl55_502
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP14(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_502])]) ).
fof(f1650,plain,
( spl55_165
<=> ! [X0,X7,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP13(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_165])]) ).
fof(f1736,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP14(X1,X2) )
| ~ spl55_105
| ~ spl55_165 ),
inference(resolution,[],[f1651,f1236]) ).
fof(f1651,plain,
( ! [X2,X0,X1,X7] :
( ~ sP13(X0,X1,X2)
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),X2) )
| ~ spl55_165 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f7016,plain,
( spl55_501
| ~ spl55_106
| ~ spl55_162 ),
inference(avatar_split_clause,[],[f1727,f1638,f1239,f7014]) ).
fof(f7014,plain,
( spl55_501
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP18(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_501])]) ).
fof(f1638,plain,
( spl55_162
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_162])]) ).
fof(f1727,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP18(X1,X2) )
| ~ spl55_106
| ~ spl55_162 ),
inference(resolution,[],[f1639,f1240]) ).
fof(f1639,plain,
( ! [X2,X0,X1,X4] :
( ~ sP17(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) = X0 )
| ~ spl55_162 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f7012,plain,
( spl55_500
| ~ spl55_108
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1550,f1516,f1247,f7010]) ).
fof(f7010,plain,
( spl55_500
<=> ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP22(X1,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_500])]) ).
fof(f1247,plain,
( spl55_108
<=> ! [X0,X1] :
( sP21(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_108])]) ).
fof(f1550,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP22(X1,sbrdtbr0(X0)) )
| ~ spl55_108
| ~ spl55_146 ),
inference(resolution,[],[f1517,f1248]) ).
fof(f1248,plain,
( ! [X0,X1] :
( sP21(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP22(X0,X1) )
| ~ spl55_108 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f7008,plain,
( spl55_499
| ~ spl55_83
| ~ spl55_120 ),
inference(avatar_split_clause,[],[f1389,f1347,f1112,f7006]) ).
fof(f7006,plain,
( spl55_499
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK43(X0) = sbrdtbr0(slbdtrb0(sK43(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_499])]) ).
fof(f1389,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK43(X0) = sbrdtbr0(slbdtrb0(sK43(X0))) )
| ~ spl55_83
| ~ spl55_120 ),
inference(resolution,[],[f1348,f1113]) ).
fof(f7003,plain,
( spl55_498
| ~ spl55_24
| ~ spl55_201 ),
inference(avatar_split_clause,[],[f2050,f1948,f808,f7001]) ).
fof(f7001,plain,
( spl55_498
<=> ! [X2,X0,X1] :
( ~ sP6(X0,X1,xk,X2)
| ~ aSubsetOf0(xQ,X2)
| sdtlpdtrp0(X1,xQ) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_498])]) ).
fof(f2050,plain,
( ! [X2,X0,X1] :
( ~ sP6(X0,X1,xk,X2)
| ~ aSubsetOf0(xQ,X2)
| sdtlpdtrp0(X1,xQ) = X0 )
| ~ spl55_24
| ~ spl55_201 ),
inference(superposition,[],[f1949,f810]) ).
fof(f6987,plain,
( spl55_497
| ~ spl55_47
| ~ spl55_216
| ~ spl55_226 ),
inference(avatar_split_clause,[],[f2351,f2181,f2130,f914,f6985]) ).
fof(f6985,plain,
( spl55_497
<=> ! [X0,X1] :
( sdtlseqdt0(sK23,sK51(X0,X1,szNzAzT0))
| aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_497])]) ).
fof(f2351,plain,
( ! [X0,X1] :
( sdtlseqdt0(sK23,sK51(X0,X1,szNzAzT0))
| aElement0(sK51(X0,X1,szNzAzT0))
| sP20(X0,X1,szNzAzT0) )
| ~ spl55_47
| ~ spl55_216
| ~ spl55_226 ),
inference(forward_demodulation,[],[f2328,f2183]) ).
fof(f6982,plain,
( spl55_496
| ~ spl55_295
| ~ spl55_362 ),
inference(avatar_split_clause,[],[f5277,f4276,f3648,f6979]) ).
fof(f6979,plain,
( spl55_496
<=> sP9(xS,sK43(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_496])]) ).
fof(f4276,plain,
( spl55_362
<=> ! [X0] :
( sP9(xS,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_362])]) ).
fof(f5277,plain,
( sP9(xS,sK43(sK23))
| ~ spl55_295
| ~ spl55_362 ),
inference(resolution,[],[f3649,f4277]) ).
fof(f4277,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP9(xS,X0) )
| ~ spl55_362 ),
inference(avatar_component_clause,[],[f4276]) ).
fof(f6967,plain,
( ~ spl55_19
| spl55_495
| ~ spl55_23
| ~ spl55_197 ),
inference(avatar_split_clause,[],[f2032,f1931,f803,f6965,f784]) ).
fof(f6965,plain,
( spl55_495
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_495])]) ).
fof(f1931,plain,
( spl55_197
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_197])]) ).
fof(f2032,plain,
( ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),xK)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_23
| ~ spl55_197 ),
inference(superposition,[],[f1932,f805]) ).
fof(f1932,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_197 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f6954,plain,
( ~ spl55_19
| spl55_494
| ~ spl55_23
| ~ spl55_197 ),
inference(avatar_split_clause,[],[f2031,f1931,f803,f6952,f784]) ).
fof(f6952,plain,
( spl55_494
<=> ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_494])]) ).
fof(f2031,plain,
( ! [X0] :
( ~ sdtlseqdt0(xK,szszuzczcdt0(X0))
| sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl55_23
| ~ spl55_197 ),
inference(superposition,[],[f1932,f805]) ).
fof(f6939,plain,
( ~ spl55_19
| spl55_493
| ~ spl55_23
| ~ spl55_196 ),
inference(avatar_split_clause,[],[f2026,f1927,f803,f6937,f784]) ).
fof(f6937,plain,
( spl55_493
<=> ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_493])]) ).
fof(f2026,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xK)
| ~ sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_23
| ~ spl55_196 ),
inference(superposition,[],[f1928,f805]) ).
fof(f6928,plain,
( ~ spl55_19
| spl55_492
| ~ spl55_23
| ~ spl55_196 ),
inference(avatar_split_clause,[],[f2025,f1927,f803,f6926,f784]) ).
fof(f6926,plain,
( spl55_492
<=> ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_492])]) ).
fof(f2025,plain,
( ! [X0] :
( sdtlseqdt0(xK,szszuzczcdt0(X0))
| ~ sdtlseqdt0(xk,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl55_23
| ~ spl55_196 ),
inference(superposition,[],[f1928,f805]) ).
fof(f6917,plain,
( ~ spl55_19
| spl55_491
| ~ spl55_23
| ~ spl55_195 ),
inference(avatar_split_clause,[],[f2016,f1923,f803,f6915,f784]) ).
fof(f6915,plain,
( spl55_491
<=> ! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_491])]) ).
fof(f1923,plain,
( spl55_195
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_195])]) ).
fof(f2016,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl55_23
| ~ spl55_195 ),
inference(superposition,[],[f1924,f805]) ).
fof(f1924,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_195 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f6876,plain,
( ~ spl55_30
| spl55_490
| ~ spl55_63
| ~ spl55_151 ),
inference(avatar_split_clause,[],[f1600,f1572,f1003,f6874,f835]) ).
fof(f6874,plain,
( spl55_490
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(xc,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_490])]) ).
fof(f1600,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(xc,X0))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) )
| ~ spl55_63
| ~ spl55_151 ),
inference(resolution,[],[f1573,f1004]) ).
fof(f6871,plain,
( ~ spl55_488
| spl55_489
| ~ spl55_63
| ~ spl55_149 ),
inference(avatar_split_clause,[],[f1585,f1563,f1003,f6868,f6864]) ).
fof(f6864,plain,
( spl55_488
<=> aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_488])]) ).
fof(f6868,plain,
( spl55_489
<=> aElement0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_489])]) ).
fof(f1563,plain,
( spl55_149
<=> aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_149])]) ).
fof(f1585,plain,
( aElement0(xQ)
| ~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl55_63
| ~ spl55_149 ),
inference(resolution,[],[f1565,f1004]) ).
fof(f1565,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ spl55_149 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f6652,plain,
( ~ spl55_14
| spl55_487
| ~ spl55_21
| ~ spl55_251 ),
inference(avatar_split_clause,[],[f2942,f2769,f794,f6650,f759]) ).
fof(f6650,plain,
( spl55_487
<=> ! [X0,X1] :
( aSubsetOf0(sK54(X0,X1,slcrc0),X1)
| sP21(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_487])]) ).
fof(f2942,plain,
( ! [X0,X1] :
( aSubsetOf0(sK54(X0,X1,slcrc0),X1)
| sP21(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_251 ),
inference(resolution,[],[f2770,f795]) ).
fof(f6596,plain,
( ~ spl55_14
| spl55_486
| ~ spl55_21
| ~ spl55_247 ),
inference(avatar_split_clause,[],[f2842,f2753,f794,f6594,f759]) ).
fof(f6594,plain,
( spl55_486
<=> ! [X0,X1] :
( aElementOf0(sK38(X0,X1,slcrc0),X1)
| sP13(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_486])]) ).
fof(f2842,plain,
( ! [X0,X1] :
( aElementOf0(sK38(X0,X1,slcrc0),X1)
| sP13(X0,X1,slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_21
| ~ spl55_247 ),
inference(resolution,[],[f2754,f795]) ).
fof(f6592,plain,
( spl55_485
| ~ spl55_113
| ~ spl55_246 ),
inference(avatar_split_clause,[],[f2800,f2749,f1318,f6590]) ).
fof(f6590,plain,
( spl55_485
<=> ! [X0] :
( aElementOf0(sK35(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP10(X0,X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_485])]) ).
fof(f2800,plain,
( ! [X0] :
( aElementOf0(sK35(X0,X0),sdtlpdtrp0(xN,X0))
| ~ sP10(X0,X0)
| ~ sP1(X0) )
| ~ spl55_113
| ~ spl55_246 ),
inference(resolution,[],[f2750,f1319]) ).
fof(f6588,plain,
( spl55_484
| ~ spl55_188
| ~ spl55_245 ),
inference(avatar_split_clause,[],[f2791,f2745,f1895,f6586]) ).
fof(f6586,plain,
( spl55_484
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP1(X1)
| aElement0(X0)
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_484])]) ).
fof(f1895,plain,
( spl55_188
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_188])]) ).
fof(f2791,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP1(X1)
| aElement0(X0)
| ~ sP0(X1) )
| ~ spl55_188
| ~ spl55_245 ),
inference(resolution,[],[f2746,f1896]) ).
fof(f1896,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1)
| ~ sP0(X0) )
| ~ spl55_188 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f6584,plain,
( spl55_483
| ~ spl55_108
| ~ spl55_145 ),
inference(avatar_split_clause,[],[f1549,f1512,f1247,f6582]) ).
fof(f6582,plain,
( spl55_483
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP22(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_483])]) ).
fof(f1512,plain,
( spl55_145
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP21(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_145])]) ).
fof(f1549,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP22(X1,X2) )
| ~ spl55_108
| ~ spl55_145 ),
inference(resolution,[],[f1513,f1248]) ).
fof(f1513,plain,
( ! [X2,X0,X1,X4] :
( ~ sP21(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 )
| ~ spl55_145 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f6580,plain,
( spl55_482
| ~ spl55_106
| ~ spl55_144 ),
inference(avatar_split_clause,[],[f1548,f1508,f1239,f6578]) ).
fof(f6578,plain,
( spl55_482
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP18(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_482])]) ).
fof(f1508,plain,
( spl55_144
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_144])]) ).
fof(f1548,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP18(X1,X2) )
| ~ spl55_106
| ~ spl55_144 ),
inference(resolution,[],[f1509,f1240]) ).
fof(f1509,plain,
( ! [X2,X0,X1,X4] :
( ~ sP17(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,szDzozmdt0(X1)) )
| ~ spl55_144 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f6576,plain,
( spl55_481
| ~ spl55_124
| ~ spl55_128 ),
inference(avatar_split_clause,[],[f1430,f1379,f1363,f6574]) ).
fof(f6574,plain,
( spl55_481
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_481])]) ).
fof(f1363,plain,
( spl55_124
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_124])]) ).
fof(f1430,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) )
| ~ spl55_124
| ~ spl55_128 ),
inference(resolution,[],[f1380,f1364]) ).
fof(f1364,plain,
( ! [X2,X0,X1,X4] :
( ~ sP20(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) )
| ~ spl55_124 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f6572,plain,
( spl55_480
| ~ spl55_84
| ~ spl55_120 ),
inference(avatar_split_clause,[],[f1388,f1347,f1116,f6570]) ).
fof(f6570,plain,
( spl55_480
<=> ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP22(X1,sK43(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_480])]) ).
fof(f1388,plain,
( ! [X0,X1] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP22(X1,sK43(X0))
| ~ aSet0(X1) )
| ~ spl55_84
| ~ spl55_120 ),
inference(resolution,[],[f1348,f1117]) ).
fof(f6568,plain,
( spl55_479
| ~ spl55_83
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1269,f1215,f1112,f6566]) ).
fof(f6566,plain,
( spl55_479
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK46(X0) = sbrdtbr0(slbdtrb0(sK46(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_479])]) ).
fof(f1269,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK46(X0) = sbrdtbr0(slbdtrb0(sK46(X0))) )
| ~ spl55_83
| ~ spl55_100 ),
inference(resolution,[],[f1216,f1113]) ).
fof(f6564,plain,
( spl55_478
| ~ spl55_48
| ~ spl55_60 ),
inference(avatar_split_clause,[],[f1043,f991,f918,f6562]) ).
fof(f6562,plain,
( spl55_478
<=> ! [X0] :
( ~ sP1(X0)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_478])]) ).
fof(f991,plain,
( spl55_60
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_60])]) ).
fof(f1043,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ spl55_48
| ~ spl55_60 ),
inference(resolution,[],[f992,f919]) ).
fof(f992,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) )
| ~ spl55_60 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f6537,plain,
( ~ spl55_5
| spl55_477
| ~ spl55_22
| ~ spl55_222 ),
inference(avatar_split_clause,[],[f2401,f2154,f798,f6535,f714]) ).
fof(f6535,plain,
( spl55_477
<=> ! [X0] :
( aElementOf0(sK36(xN,X0,szNzAzT0),szNzAzT0)
| sP11(xN,X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_477])]) ).
fof(f2401,plain,
( ! [X0] :
( aElementOf0(sK36(xN,X0,szNzAzT0),szNzAzT0)
| sP11(xN,X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_222 ),
inference(superposition,[],[f2155,f800]) ).
fof(f6529,plain,
( ~ spl55_5
| spl55_476
| ~ spl55_22
| ~ spl55_192 ),
inference(avatar_split_clause,[],[f1976,f1911,f798,f6527,f714]) ).
fof(f6527,plain,
( spl55_476
<=> ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_476])]) ).
fof(f1911,plain,
( spl55_192
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_192])]) ).
fof(f1976,plain,
( ! [X0] :
( aElementOf0(sdtlpdtrp0(xN,X0),sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_192 ),
inference(superposition,[],[f1912,f800]) ).
fof(f1912,plain,
( ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl55_192 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f6525,plain,
( ~ spl55_474
| spl55_475
| ~ spl55_22
| ~ spl55_190 ),
inference(avatar_split_clause,[],[f1967,f1903,f798,f6523,f6519]) ).
fof(f6519,plain,
( spl55_474
<=> sP4(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_474])]) ).
fof(f6523,plain,
( spl55_475
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xN,szNzAzT0))
| aElementOf0(sK31(xN,X0),szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_475])]) ).
fof(f1967,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xN,szNzAzT0))
| aElementOf0(sK31(xN,X0),szNzAzT0)
| ~ sP4(xN) )
| ~ spl55_22
| ~ spl55_190 ),
inference(superposition,[],[f1904,f800]) ).
fof(f6474,plain,
( ~ spl55_19
| spl55_473
| ~ spl55_23
| ~ spl55_179 ),
inference(avatar_split_clause,[],[f1844,f1812,f803,f6472,f784]) ).
fof(f1844,plain,
( ! [X0] :
( sdtlseqdt0(xK,X0)
| sdtlseqdt0(X0,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_23
| ~ spl55_179 ),
inference(superposition,[],[f1813,f805]) ).
fof(f6468,plain,
( ~ spl55_19
| spl55_472
| ~ spl55_23
| ~ spl55_176 ),
inference(avatar_split_clause,[],[f1831,f1800,f803,f6466,f784]) ).
fof(f6466,plain,
( spl55_472
<=> ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| ~ sP15(X0,X1)
| aElementOf0(xk,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_472])]) ).
fof(f1831,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ aElementOf0(xk,szNzAzT0)
| ~ sP15(X0,X1) )
| ~ spl55_23
| ~ spl55_176 ),
inference(superposition,[],[f1801,f805]) ).
fof(f6464,plain,
( spl55_470
| ~ spl55_471
| spl55_441
| ~ spl55_37
| ~ spl55_126 ),
inference(avatar_split_clause,[],[f1423,f1371,f871,f5800,f6461,f6457]) ).
fof(f6457,plain,
( spl55_470
<=> aSet0(szmzizndt0(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_470])]) ).
fof(f6461,plain,
( spl55_471
<=> aSubsetOf0(szDzozmdt0(xc),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_471])]) ).
fof(f5800,plain,
( spl55_441
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_441])]) ).
fof(f1423,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSet0(szmzizndt0(szDzozmdt0(xc)))
| ~ spl55_37
| ~ spl55_126 ),
inference(resolution,[],[f1372,f872]) ).
fof(f6453,plain,
( ~ spl55_226
| ~ spl55_52
| spl55_243 ),
inference(avatar_split_clause,[],[f6190,f2645,f935,f2181]) ).
fof(f6190,plain,
( sz00 != sK23
| ~ spl55_52
| spl55_243 ),
inference(superposition,[],[f2646,f937]) ).
fof(f6261,plain,
( spl55_469
| ~ spl55_47
| ~ spl55_213
| ~ spl55_226 ),
inference(avatar_split_clause,[],[f2312,f2181,f2118,f914,f6259]) ).
fof(f6259,plain,
( spl55_469
<=> ! [X0,X1] :
( sdtlseqdt0(sK23,sK50(X0,X1,szNzAzT0))
| aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_469])]) ).
fof(f2312,plain,
( ! [X0,X1] :
( sdtlseqdt0(sK23,sK50(X0,X1,szNzAzT0))
| aElement0(sK50(X0,X1,szNzAzT0))
| sP19(X0,X1,szNzAzT0) )
| ~ spl55_47
| ~ spl55_213
| ~ spl55_226 ),
inference(forward_demodulation,[],[f2289,f2183]) ).
fof(f6256,plain,
( spl55_468
| ~ spl55_47
| ~ spl55_295 ),
inference(avatar_split_clause,[],[f4054,f3648,f914,f6253]) ).
fof(f6253,plain,
( spl55_468
<=> sdtlseqdt0(sz00,sK43(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_468])]) ).
fof(f4054,plain,
( sdtlseqdt0(sz00,sK43(sK23))
| ~ spl55_47
| ~ spl55_295 ),
inference(resolution,[],[f3649,f915]) ).
fof(f6222,plain,
( spl55_467
| ~ spl55_63
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2350,f2130,f1003,f6220]) ).
fof(f6220,plain,
( spl55_467
<=> ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,X2))
| sP20(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_467])]) ).
fof(f2350,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,X2))
| sP20(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_216 ),
inference(duplicate_literal_removal,[],[f2319]) ).
fof(f2319,plain,
( ! [X2,X0,X1] :
( aElement0(sK51(X0,X1,X2))
| sP20(X0,X1,X2)
| aElement0(sK51(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_216 ),
inference(resolution,[],[f2131,f1004]) ).
fof(f6218,plain,
( spl55_466
| ~ spl55_63
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2311,f2118,f1003,f6216]) ).
fof(f6216,plain,
( spl55_466
<=> ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,X2))
| sP19(X0,X1,X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_466])]) ).
fof(f2311,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,X2))
| sP19(X0,X1,X2)
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_213 ),
inference(duplicate_literal_removal,[],[f2280]) ).
fof(f2280,plain,
( ! [X2,X0,X1] :
( aElement0(sK50(X0,X1,X2))
| sP19(X0,X1,X2)
| aElement0(sK50(X0,X1,X2))
| ~ aSet0(X2) )
| ~ spl55_63
| ~ spl55_213 ),
inference(resolution,[],[f2119,f1004]) ).
fof(f6202,plain,
( ~ spl55_14
| spl55_465
| ~ spl55_21
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f1983,f1919,f794,f6200,f759]) ).
fof(f6200,plain,
( spl55_465
<=> ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_465])]) ).
fof(f1983,plain,
( ! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) )
| ~ spl55_21
| ~ spl55_194 ),
inference(resolution,[],[f1920,f795]) ).
fof(f6198,plain,
( spl55_464
| ~ spl55_91
| ~ spl55_190 ),
inference(avatar_split_clause,[],[f1964,f1903,f1179,f6196]) ).
fof(f6196,plain,
( spl55_464
<=> ! [X0] :
( aElementOf0(sK31(X0,sK30(X0)),szDzozmdt0(X0))
| ~ sP4(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_464])]) ).
fof(f1964,plain,
( ! [X0] :
( aElementOf0(sK31(X0,sK30(X0)),szDzozmdt0(X0))
| ~ sP4(X0)
| ~ sP5(X0) )
| ~ spl55_91
| ~ spl55_190 ),
inference(resolution,[],[f1904,f1180]) ).
fof(f6194,plain,
( spl55_463
| ~ spl55_63
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1720,f1622,f1003,f6192]) ).
fof(f6192,plain,
( spl55_463
<=> ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK42(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_463])]) ).
fof(f1720,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK42(X1,X0)) )
| ~ spl55_63
| ~ spl55_158 ),
inference(duplicate_literal_removal,[],[f1698]) ).
fof(f1698,plain,
( ! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK42(X1,X0))
| ~ aSet0(X0) )
| ~ spl55_63
| ~ spl55_158 ),
inference(resolution,[],[f1623,f1004]) ).
fof(f6180,plain,
( ~ spl55_14
| ~ spl55_11
| spl55_462
| ~ spl55_52
| ~ spl55_157 ),
inference(avatar_split_clause,[],[f1695,f1618,f935,f6178,f744,f759]) ).
fof(f6178,plain,
( spl55_462
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_462])]) ).
fof(f1695,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) )
| ~ spl55_52
| ~ spl55_157 ),
inference(superposition,[],[f1619,f937]) ).
fof(f6176,plain,
( spl55_461
| ~ spl55_103
| ~ spl55_128 ),
inference(avatar_split_clause,[],[f1431,f1379,f1227,f6174]) ).
fof(f6174,plain,
( spl55_461
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_461])]) ).
fof(f1227,plain,
( spl55_103
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_103])]) ).
fof(f1431,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) )
| ~ spl55_103
| ~ spl55_128 ),
inference(resolution,[],[f1380,f1228]) ).
fof(f1228,plain,
( ! [X2,X0,X1,X4] :
( ~ sP20(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl55_103 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f6172,plain,
( spl55_460
| ~ spl55_102
| ~ spl55_127 ),
inference(avatar_split_clause,[],[f1428,f1375,f1223,f6170]) ).
fof(f6170,plain,
( spl55_460
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_460])]) ).
fof(f1223,plain,
( spl55_102
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP19(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_102])]) ).
fof(f1428,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) )
| ~ spl55_102
| ~ spl55_127 ),
inference(resolution,[],[f1376,f1224]) ).
fof(f1224,plain,
( ! [X2,X0,X1,X4] :
( ~ sP19(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) )
| ~ spl55_102 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f6168,plain,
( spl55_459
| ~ spl55_63
| ~ spl55_126 ),
inference(avatar_split_clause,[],[f1411,f1371,f1003,f6166]) ).
fof(f6166,plain,
( spl55_459
<=> ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_459])]) ).
fof(f1411,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) )
| ~ spl55_63
| ~ spl55_126 ),
inference(resolution,[],[f1372,f1004]) ).
fof(f6164,plain,
( spl55_458
| ~ spl55_108
| ~ spl55_125 ),
inference(avatar_split_clause,[],[f1410,f1367,f1247,f6162]) ).
fof(f6162,plain,
( spl55_458
<=> ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP22(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_458])]) ).
fof(f1367,plain,
( spl55_125
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP21(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_125])]) ).
fof(f1410,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP22(X1,X2) )
| ~ spl55_108
| ~ spl55_125 ),
inference(resolution,[],[f1368,f1248]) ).
fof(f1368,plain,
( ! [X2,X0,X1,X4] :
( ~ sP21(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) )
| ~ spl55_125 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f6160,plain,
( spl55_457
| ~ spl55_64
| ~ spl55_123 ),
inference(avatar_split_clause,[],[f1401,f1359,f1007,f6158]) ).
fof(f6158,plain,
( spl55_457
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_457])]) ).
fof(f1401,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) )
| ~ spl55_64
| ~ spl55_123 ),
inference(resolution,[],[f1360,f1008]) ).
fof(f6156,plain,
( spl55_456
| ~ spl55_64
| ~ spl55_122 ),
inference(avatar_split_clause,[],[f1397,f1355,f1007,f6154]) ).
fof(f6154,plain,
( spl55_456
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK46(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_456])]) ).
fof(f1397,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK46(X0))) )
| ~ spl55_64
| ~ spl55_122 ),
inference(resolution,[],[f1356,f1008]) ).
fof(f6152,plain,
( spl55_455
| ~ spl55_46
| ~ spl55_120 ),
inference(avatar_split_clause,[],[f1391,f1347,f910,f6150]) ).
fof(f6150,plain,
( spl55_455
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK43(X0),sK43(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_455])]) ).
fof(f1391,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK43(X0),sK43(X0)) )
| ~ spl55_46
| ~ spl55_120 ),
inference(resolution,[],[f1348,f911]) ).
fof(f6148,plain,
( spl55_454
| ~ spl55_63
| ~ spl55_113 ),
inference(avatar_split_clause,[],[f1382,f1318,f1003,f6146]) ).
fof(f6146,plain,
( spl55_454
<=> ! [X0] :
( ~ sP1(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_454])]) ).
fof(f1382,plain,
( ! [X0] :
( ~ sP1(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl55_63
| ~ spl55_113 ),
inference(resolution,[],[f1319,f1004]) ).
fof(f6119,plain,
( spl55_453
| ~ spl55_84
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1268,f1215,f1116,f6117]) ).
fof(f6117,plain,
( spl55_453
<=> ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP22(X1,sK46(X0))
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_453])]) ).
fof(f1268,plain,
( ! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP22(X1,sK46(X0))
| ~ aSet0(X1) )
| ~ spl55_84
| ~ spl55_100 ),
inference(resolution,[],[f1216,f1117]) ).
fof(f6115,plain,
( spl55_452
| ~ spl55_82
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f1147,f1112,f1108,f6113]) ).
fof(f6113,plain,
( spl55_452
<=> ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_452])]) ).
fof(f1147,plain,
( ! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_82
| ~ spl55_83 ),
inference(resolution,[],[f1113,f1109]) ).
fof(f5855,plain,
( spl55_451
| ~ spl55_17
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1888,f1863,f774,f5853]) ).
fof(f5853,plain,
( spl55_451
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,xi) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_451])]) ).
fof(f1888,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,xi) )
| ~ spl55_17
| ~ spl55_186 ),
inference(resolution,[],[f1864,f776]) ).
fof(f5851,plain,
( spl55_450
| ~ spl55_19
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1887,f1863,f784,f5849]) ).
fof(f5849,plain,
( spl55_450
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_450])]) ).
fof(f1887,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,xk) )
| ~ spl55_19
| ~ spl55_186 ),
inference(resolution,[],[f1864,f786]) ).
fof(f5847,plain,
( spl55_449
| ~ spl55_16
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1886,f1863,f769,f5845]) ).
fof(f5845,plain,
( spl55_449
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,xK) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_449])]) ).
fof(f1886,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,xK) )
| ~ spl55_16
| ~ spl55_186 ),
inference(resolution,[],[f1864,f771]) ).
fof(f5843,plain,
( spl55_448
| ~ spl55_20
| ~ spl55_186 ),
inference(avatar_split_clause,[],[f1881,f1863,f789,f5841]) ).
fof(f5841,plain,
( spl55_448
<=> ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_448])]) ).
fof(f1881,plain,
( ! [X0] :
( ~ isCountable0(X0)
| aElementOf0(sK34(X0),X0)
| ~ aSet0(X0)
| sP9(X0,sz00) )
| ~ spl55_20
| ~ spl55_186 ),
inference(resolution,[],[f1864,f791]) ).
fof(f5839,plain,
( ~ spl55_5
| ~ spl55_13
| spl55_446
| ~ spl55_447
| ~ spl55_22
| ~ spl55_173 ),
inference(avatar_split_clause,[],[f1828,f1787,f798,f5836,f5832,f754,f714]) ).
fof(f754,plain,
( spl55_13
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_13])]) ).
fof(f5832,plain,
( spl55_446
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_446])]) ).
fof(f5836,plain,
( spl55_447
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_447])]) ).
fof(f1787,plain,
( spl55_173
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_173])]) ).
fof(f1828,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szNzAzT0)
| ~ aFunction0(xN)
| ~ spl55_22
| ~ spl55_173 ),
inference(superposition,[],[f1788,f800]) ).
fof(f1788,plain,
( ! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl55_173 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f5821,plain,
( ~ spl55_10
| ~ spl55_340
| spl55_445
| ~ spl55_24
| ~ spl55_157 ),
inference(avatar_split_clause,[],[f1694,f1618,f808,f5819,f4112,f739]) ).
fof(f5819,plain,
( spl55_445
<=> ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_445])]) ).
fof(f1694,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) )
| ~ spl55_24
| ~ spl55_157 ),
inference(superposition,[],[f1619,f810]) ).
fof(f5817,plain,
( spl55_444
| ~ spl55_24
| ~ spl55_157 ),
inference(avatar_split_clause,[],[f1691,f1618,f808,f5815]) ).
fof(f5815,plain,
( spl55_444
<=> ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_444])]) ).
fof(f1691,plain,
( ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(xQ,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_24
| ~ spl55_157 ),
inference(superposition,[],[f1619,f810]) ).
fof(f5813,plain,
( spl55_226
| ~ spl55_52
| ~ spl55_243 ),
inference(avatar_split_clause,[],[f5365,f2645,f935,f2181]) ).
fof(f5365,plain,
( sz00 = sK23
| ~ spl55_52
| ~ spl55_243 ),
inference(superposition,[],[f2647,f937]) ).
fof(f2647,plain,
( sK23 = sbrdtbr0(slcrc0)
| ~ spl55_243 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f5812,plain,
( spl55_443
| ~ spl55_131
| ~ spl55_151 ),
inference(avatar_split_clause,[],[f1598,f1572,f1438,f5810]) ).
fof(f5810,plain,
( spl55_443
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK24(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_443])]) ).
fof(f1598,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK24(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) )
| ~ spl55_131
| ~ spl55_151 ),
inference(resolution,[],[f1573,f1439]) ).
fof(f5808,plain,
( spl55_442
| ~ spl55_113
| ~ spl55_133 ),
inference(avatar_split_clause,[],[f1466,f1446,f1318,f5806]) ).
fof(f5806,plain,
( spl55_442
<=> ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_442])]) ).
fof(f1466,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP1(X0) )
| ~ spl55_113
| ~ spl55_133 ),
inference(resolution,[],[f1447,f1319]) ).
fof(f5803,plain,
( spl55_439
| ~ spl55_440
| spl55_441
| ~ spl55_37
| ~ spl55_101 ),
inference(avatar_split_clause,[],[f1290,f1219,f871,f5800,f5796,f5792]) ).
fof(f5792,plain,
( spl55_439
<=> aSet0(sK48(szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_439])]) ).
fof(f5796,plain,
( spl55_440
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_440])]) ).
fof(f1290,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| aSet0(sK48(szDzozmdt0(xc)))
| ~ spl55_37
| ~ spl55_101 ),
inference(resolution,[],[f1220,f872]) ).
fof(f5790,plain,
( spl55_438
| ~ spl55_48
| ~ spl55_58 ),
inference(avatar_split_clause,[],[f984,f980,f918,f5788]) ).
fof(f5788,plain,
( spl55_438
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_438])]) ).
fof(f980,plain,
( spl55_58
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_58])]) ).
fof(f984,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) )
| ~ spl55_48
| ~ spl55_58 ),
inference(resolution,[],[f981,f919]) ).
fof(f981,plain,
( ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_58 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f5555,plain,
( spl55_437
| ~ spl55_47
| ~ spl55_212
| ~ spl55_226 ),
inference(avatar_split_clause,[],[f2276,f2181,f2114,f914,f5553]) ).
fof(f5553,plain,
( spl55_437
<=> ! [X0,X1] :
( sdtlseqdt0(sK23,sK44(X0,X1))
| aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_437])]) ).
fof(f2276,plain,
( ! [X0,X1] :
( sdtlseqdt0(sK23,sK44(X0,X1))
| aElementOf0(sK44(X0,X1),X1)
| sP15(X0,X1)
| ~ aSet0(X1) )
| ~ spl55_47
| ~ spl55_212
| ~ spl55_226 ),
inference(forward_demodulation,[],[f2232,f2183]) ).
fof(f5543,plain,
( spl55_436
| ~ spl55_45
| ~ spl55_295 ),
inference(avatar_split_clause,[],[f4052,f3648,f906,f5540]) ).
fof(f5540,plain,
( spl55_436
<=> isFinite0(slbdtrb0(sK43(sK23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_436])]) ).
fof(f4052,plain,
( isFinite0(slbdtrb0(sK43(sK23)))
| ~ spl55_45
| ~ spl55_295 ),
inference(resolution,[],[f3649,f907]) ).
fof(f5501,plain,
( spl55_435
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2548,f2441,f5499]) ).
fof(f5499,plain,
( spl55_435
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,X1),X1)
| sP20(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_435])]) ).
fof(f2548,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,X1),X1)
| sP20(X0,X1,X1) )
| ~ spl55_232 ),
inference(factoring,[],[f2442]) ).
fof(f5497,plain,
( spl55_434
| ~ spl55_21
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2521,f2441,f794,f5495]) ).
fof(f5495,plain,
( spl55_434
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,slcrc0,X1),X1)
| sP20(X0,slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_434])]) ).
fof(f2521,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,slcrc0,X1),X1)
| sP20(X0,slcrc0,X1) )
| ~ spl55_21
| ~ spl55_232 ),
inference(resolution,[],[f2442,f795]) ).
fof(f5493,plain,
( spl55_433
| ~ spl55_21
| ~ spl55_232 ),
inference(avatar_split_clause,[],[f2491,f2441,f794,f5491]) ).
fof(f5491,plain,
( spl55_433
<=> ! [X0,X1] :
( aElementOf0(sK51(X0,X1,slcrc0),X1)
| sP20(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_433])]) ).
fof(f2491,plain,
( ! [X0,X1] :
( aElementOf0(sK51(X0,X1,slcrc0),X1)
| sP20(X0,X1,slcrc0) )
| ~ spl55_21
| ~ spl55_232 ),
inference(resolution,[],[f2442,f795]) ).
fof(f5489,plain,
( spl55_432
| ~ spl55_52
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1552,f1516,f935,f5487]) ).
fof(f5487,plain,
( spl55_432
<=> ! [X0,X1] :
( ~ sP21(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_432])]) ).
fof(f1552,plain,
( ! [X0,X1] :
( ~ sP21(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) )
| ~ spl55_52
| ~ spl55_146 ),
inference(superposition,[],[f1517,f937]) ).
fof(f5485,plain,
( spl55_431
| ~ spl55_53
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1395,f1351,f941,f5483]) ).
fof(f5483,plain,
( spl55_431
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_431])]) ).
fof(f941,plain,
( spl55_53
<=> ! [X0] :
( sP15(X0,slbdtrb0(X0))
| ~ sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_53])]) ).
fof(f1351,plain,
( spl55_121
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_121])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ sP16(X1) )
| ~ spl55_53
| ~ spl55_121 ),
inference(resolution,[],[f1352,f942]) ).
fof(f942,plain,
( ! [X0] :
( sP15(X0,slbdtrb0(X0))
| ~ sP16(X0) )
| ~ spl55_53 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f1352,plain,
( ! [X3,X0,X1] :
( ~ sP15(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ spl55_121 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f5481,plain,
( spl55_430
| ~ spl55_45
| ~ spl55_120 ),
inference(avatar_split_clause,[],[f1392,f1347,f906,f5479]) ).
fof(f5479,plain,
( spl55_430
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK43(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_430])]) ).
fof(f1392,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK43(X0))) )
| ~ spl55_45
| ~ spl55_120 ),
inference(resolution,[],[f1348,f907]) ).
fof(f5477,plain,
( spl55_429
| ~ spl55_47
| ~ spl55_120 ),
inference(avatar_split_clause,[],[f1390,f1347,f914,f5475]) ).
fof(f5475,plain,
( spl55_429
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK43(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_429])]) ).
fof(f1390,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK43(X0)) )
| ~ spl55_47
| ~ spl55_120 ),
inference(resolution,[],[f1348,f915]) ).
fof(f5473,plain,
( spl55_428
| ~ spl55_46
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1271,f1215,f910,f5471]) ).
fof(f5471,plain,
( spl55_428
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK46(X0),sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_428])]) ).
fof(f1271,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sK46(X0),sK46(X0)) )
| ~ spl55_46
| ~ spl55_100 ),
inference(resolution,[],[f1216,f911]) ).
fof(f5469,plain,
( spl55_427
| ~ spl55_63
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1251,f1179,f1003,f5467]) ).
fof(f5467,plain,
( spl55_427
<=> ! [X0] :
( ~ sP5(X0)
| aElement0(sK30(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_427])]) ).
fof(f1251,plain,
( ! [X0] :
( ~ sP5(X0)
| aElement0(sK30(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ spl55_63
| ~ spl55_91 ),
inference(resolution,[],[f1180,f1004]) ).
fof(f5464,plain,
( spl55_426
| ~ spl55_82
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1154,f1116,f1108,f5462]) ).
fof(f5462,plain,
( spl55_426
<=> ! [X0,X1] :
( sP22(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_426])]) ).
fof(f1154,plain,
( ! [X0,X1] :
( sP22(X0,sbrdtbr0(X1))
| ~ aSet0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ spl55_82
| ~ spl55_84 ),
inference(resolution,[],[f1117,f1109]) ).
fof(f5460,plain,
( spl55_425
| ~ spl55_69
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f1146,f1112,f1027,f5458]) ).
fof(f5458,plain,
( spl55_425
<=> ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_425])]) ).
fof(f1146,plain,
( ! [X0] :
( szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_69
| ~ spl55_83 ),
inference(resolution,[],[f1113,f1028]) ).
fof(f5452,plain,
( ~ spl55_423
| spl55_424
| ~ spl55_76
| ~ spl55_246 ),
inference(avatar_split_clause,[],[f2799,f2749,f1080,f5449,f5445]) ).
fof(f5449,plain,
( spl55_424
<=> aElementOf0(sK35(xi,xi),sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_424])]) ).
fof(f2799,plain,
( aElementOf0(sK35(xi,xi),sdtlpdtrp0(xN,xi))
| ~ sP10(xi,xi)
| ~ spl55_76
| ~ spl55_246 ),
inference(resolution,[],[f2750,f1082]) ).
fof(f5443,plain,
( ~ spl55_421
| spl55_422
| ~ spl55_148
| ~ spl55_245 ),
inference(avatar_split_clause,[],[f2789,f2745,f1559,f5441,f5437]) ).
fof(f5437,plain,
( spl55_421
<=> sP1(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_421])]) ).
fof(f5441,plain,
( spl55_422
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_422])]) ).
fof(f2789,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ sP1(xi)
| aElement0(X0) )
| ~ spl55_148
| ~ spl55_245 ),
inference(resolution,[],[f2746,f1560]) ).
fof(f5432,plain,
( ~ spl55_5
| spl55_420
| ~ spl55_20
| ~ spl55_22
| ~ spl55_31
| ~ spl55_192 ),
inference(avatar_split_clause,[],[f1978,f1911,f840,f798,f789,f5429,f714]) ).
fof(f5429,plain,
( spl55_420
<=> aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_420])]) ).
fof(f1978,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aFunction0(xN)
| ~ spl55_22
| ~ spl55_31
| ~ spl55_192 ),
inference(forward_demodulation,[],[f1977,f800]) ).
fof(f1977,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szNzAzT0))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl55_22
| ~ spl55_31
| ~ spl55_192 ),
inference(forward_demodulation,[],[f1975,f800]) ).
fof(f1975,plain,
( aElementOf0(xS,sdtlcdtrc0(xN,szDzozmdt0(xN)))
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| ~ aFunction0(xN)
| ~ spl55_31
| ~ spl55_192 ),
inference(superposition,[],[f1912,f842]) ).
fof(f5427,plain,
( ~ spl55_418
| spl55_419
| ~ spl55_31
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f1960,f1895,f840,f5425,f5421]) ).
fof(f5421,plain,
( spl55_418
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_418])]) ).
fof(f5425,plain,
( spl55_419
<=> ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_419])]) ).
fof(f1960,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElement0(X0)
| ~ sP0(sz00) )
| ~ spl55_31
| ~ spl55_188 ),
inference(superposition,[],[f1896,f842]) ).
fof(f5418,plain,
( spl55_417
| ~ spl55_52
| ~ spl55_243
| ~ spl55_416 ),
inference(avatar_split_clause,[],[f5414,f5411,f2645,f935,f5416]) ).
fof(f5416,plain,
( spl55_417
<=> ! [X0] :
( aElementOf0(sK23,X0)
| ~ sP17(xS,xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_417])]) ).
fof(f5411,plain,
( spl55_416
<=> ! [X0] :
( ~ sP17(xS,xN,X0)
| aElementOf0(sz00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_416])]) ).
fof(f5414,plain,
( ! [X0] :
( aElementOf0(sK23,X0)
| ~ sP17(xS,xN,X0) )
| ~ spl55_52
| ~ spl55_243
| ~ spl55_416 ),
inference(forward_demodulation,[],[f5412,f5365]) ).
fof(f5412,plain,
( ! [X0] :
( ~ sP17(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl55_416 ),
inference(avatar_component_clause,[],[f5411]) ).
fof(f5413,plain,
( spl55_416
| ~ spl55_20
| ~ spl55_22
| ~ spl55_31
| ~ spl55_181 ),
inference(avatar_split_clause,[],[f1849,f1820,f840,f798,f789,f5411]) ).
fof(f1849,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ sP17(xS,xN,X0)
| aElementOf0(sz00,X0) )
| ~ spl55_22
| ~ spl55_31
| ~ spl55_181 ),
inference(forward_demodulation,[],[f1848,f800]) ).
fof(f1848,plain,
( ! [X0] :
( ~ sP17(xS,xN,X0)
| ~ aElementOf0(sz00,szDzozmdt0(xN))
| aElementOf0(sz00,X0) )
| ~ spl55_31
| ~ spl55_181 ),
inference(superposition,[],[f1821,f842]) ).
fof(f5409,plain,
( spl55_415
| ~ spl55_24
| ~ spl55_146 ),
inference(avatar_split_clause,[],[f1551,f1516,f808,f5407]) ).
fof(f5407,plain,
( spl55_415
<=> ! [X0,X1] :
( ~ sP21(xk,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_415])]) ).
fof(f1551,plain,
( ! [X0,X1] :
( ~ sP21(xk,X0,X1)
| ~ aSubsetOf0(xQ,X0)
| aElementOf0(xQ,X1) )
| ~ spl55_24
| ~ spl55_146 ),
inference(superposition,[],[f1517,f810]) ).
fof(f5247,plain,
( spl55_414
| ~ spl55_21
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2320,f2130,f794,f5245]) ).
fof(f5245,plain,
( spl55_414
<=> ! [X0,X1] :
( aElement0(sK51(X0,X1,slcrc0))
| sP20(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_414])]) ).
fof(f2320,plain,
( ! [X0,X1] :
( aElement0(sK51(X0,X1,slcrc0))
| sP20(X0,X1,slcrc0) )
| ~ spl55_21
| ~ spl55_216 ),
inference(resolution,[],[f2131,f795]) ).
fof(f5243,plain,
( spl55_413
| ~ spl55_21
| ~ spl55_213 ),
inference(avatar_split_clause,[],[f2281,f2118,f794,f5241]) ).
fof(f5241,plain,
( spl55_413
<=> ! [X0,X1] :
( aElement0(sK50(X0,X1,slcrc0))
| sP19(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_413])]) ).
fof(f2281,plain,
( ! [X0,X1] :
( aElement0(sK50(X0,X1,slcrc0))
| sP19(X0,X1,slcrc0) )
| ~ spl55_21
| ~ spl55_213 ),
inference(resolution,[],[f2119,f795]) ).
fof(f5239,plain,
( spl55_412
| ~ spl55_72
| ~ spl55_128 ),
inference(avatar_split_clause,[],[f1432,f1379,f1039,f5237]) ).
fof(f5237,plain,
( spl55_412
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_412])]) ).
fof(f1039,plain,
( spl55_72
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP20(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_72])]) ).
fof(f1432,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl55_72
| ~ spl55_128 ),
inference(resolution,[],[f1380,f1040]) ).
fof(f1040,plain,
( ! [X2,X1,X4] :
( ~ sP20(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl55_72 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f5234,plain,
( spl55_410
| ~ spl55_411
| spl55_374
| ~ spl55_36
| ~ spl55_126 ),
inference(avatar_split_clause,[],[f1419,f1371,f861,f4548,f5231,f5227]) ).
fof(f5227,plain,
( spl55_410
<=> sP16(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_410])]) ).
fof(f5231,plain,
( spl55_411
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_411])]) ).
fof(f4548,plain,
( spl55_374
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_374])]) ).
fof(f1419,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP16(szmzizndt0(szNzAzT0))
| ~ spl55_36
| ~ spl55_126 ),
inference(resolution,[],[f1372,f862]) ).
fof(f5225,plain,
( ~ spl55_21
| ~ spl55_403 ),
inference(avatar_contradiction_clause,[],[f5221]) ).
fof(f5221,plain,
( $false
| ~ spl55_21
| ~ spl55_403 ),
inference(resolution,[],[f5142,f795]) ).
fof(f5142,plain,
( aElementOf0(sK23,slcrc0)
| ~ spl55_403 ),
inference(avatar_component_clause,[],[f5140]) ).
fof(f5140,plain,
( spl55_403
<=> aElementOf0(sK23,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_403])]) ).
fof(f5220,plain,
( spl55_409
| ~ spl55_107
| ~ spl55_127 ),
inference(avatar_split_clause,[],[f1429,f1375,f1243,f5218]) ).
fof(f5218,plain,
( spl55_409
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_409])]) ).
fof(f1243,plain,
( spl55_107
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP19(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_107])]) ).
fof(f1429,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl55_107
| ~ spl55_127 ),
inference(duplicate_literal_removal,[],[f1427]) ).
fof(f1427,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl55_107
| ~ spl55_127 ),
inference(resolution,[],[f1376,f1244]) ).
fof(f1244,plain,
( ! [X2,X1,X4] :
( ~ sP19(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl55_107 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f5216,plain,
( spl55_408
| ~ spl55_95
| ~ spl55_123 ),
inference(avatar_split_clause,[],[f1404,f1359,f1195,f5214]) ).
fof(f5214,plain,
( spl55_408
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP14(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_408])]) ).
fof(f1404,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP14(sdtlbdtrb0(X1,X0),X1) )
| ~ spl55_95
| ~ spl55_123 ),
inference(duplicate_literal_removal,[],[f1398]) ).
fof(f1398,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP14(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl55_95
| ~ spl55_123 ),
inference(resolution,[],[f1360,f1196]) ).
fof(f5212,plain,
( spl55_407
| ~ spl55_94
| ~ spl55_123 ),
inference(avatar_split_clause,[],[f1403,f1359,f1191,f5210]) ).
fof(f5210,plain,
( spl55_407
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP12(sdtlbdtrb0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_407])]) ).
fof(f1403,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP12(sdtlbdtrb0(X1,X0),X1) )
| ~ spl55_94
| ~ spl55_123 ),
inference(duplicate_literal_removal,[],[f1399]) ).
fof(f1399,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP12(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) )
| ~ spl55_94
| ~ spl55_123 ),
inference(resolution,[],[f1360,f1192]) ).
fof(f5207,plain,
( spl55_406
| ~ spl55_36
| ~ spl55_120 ),
inference(avatar_split_clause,[],[f1393,f1347,f861,f5205]) ).
fof(f5205,plain,
( spl55_406
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP16(sK43(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_406])]) ).
fof(f1393,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sP16(sK43(X0)) )
| ~ spl55_36
| ~ spl55_120 ),
inference(resolution,[],[f1348,f862]) ).
fof(f5203,plain,
( spl55_405
| ~ spl55_80
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1294,f1231,f1100,f5201]) ).
fof(f5201,plain,
( spl55_405
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_405])]) ).
fof(f1100,plain,
( spl55_80
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_80])]) ).
fof(f1294,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 )
| ~ spl55_80
| ~ spl55_104 ),
inference(resolution,[],[f1232,f1101]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( ~ sP11(X0,X1,X2)
| szDzozmdt0(X0) = X2 )
| ~ spl55_80 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f5150,plain,
( spl55_404
| ~ spl55_12
| spl55_374
| ~ spl55_45
| ~ spl55_101 ),
inference(avatar_split_clause,[],[f1286,f1219,f906,f4548,f749,f5147]) ).
fof(f5147,plain,
( spl55_404
<=> isFinite0(slbdtrb0(sK48(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_404])]) ).
fof(f749,plain,
( spl55_12
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).
fof(f1286,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| isFinite0(slbdtrb0(sK48(szNzAzT0)))
| ~ spl55_45
| ~ spl55_101 ),
inference(resolution,[],[f1220,f907]) ).
fof(f5143,plain,
( spl55_403
| ~ spl55_142
| ~ spl55_374 ),
inference(avatar_split_clause,[],[f5113,f4548,f1499,f5140]) ).
fof(f5113,plain,
( aElementOf0(sK23,slcrc0)
| ~ spl55_142
| ~ spl55_374 ),
inference(superposition,[],[f1501,f4550]) ).
fof(f4550,plain,
( slcrc0 = szNzAzT0
| ~ spl55_374 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f5091,plain,
( spl55_402
| ~ spl55_12
| spl55_374
| ~ spl55_47
| ~ spl55_101 ),
inference(avatar_split_clause,[],[f1284,f1219,f914,f4548,f749,f5088]) ).
fof(f5088,plain,
( spl55_402
<=> sdtlseqdt0(sz00,sK48(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_402])]) ).
fof(f1284,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK48(szNzAzT0))
| ~ spl55_47
| ~ spl55_101 ),
inference(resolution,[],[f1220,f915]) ).
fof(f5086,plain,
( spl55_401
| ~ spl55_45
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1272,f1215,f906,f5084]) ).
fof(f5084,plain,
( spl55_401
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK46(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_401])]) ).
fof(f1272,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(sK46(X0))) )
| ~ spl55_45
| ~ spl55_100 ),
inference(resolution,[],[f1216,f907]) ).
fof(f5082,plain,
( spl55_400
| ~ spl55_47
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1270,f1215,f914,f5080]) ).
fof(f5080,plain,
( spl55_400
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_400])]) ).
fof(f1270,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK46(X0)) )
| ~ spl55_47
| ~ spl55_100 ),
inference(resolution,[],[f1216,f915]) ).
fof(f5078,plain,
( spl55_399
| ~ spl55_53
| ~ spl55_98 ),
inference(avatar_split_clause,[],[f1262,f1207,f941,f5076]) ).
fof(f5076,plain,
( spl55_399
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_399])]) ).
fof(f1207,plain,
( spl55_98
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_98])]) ).
fof(f1262,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP16(X1) )
| ~ spl55_53
| ~ spl55_98 ),
inference(resolution,[],[f1208,f942]) ).
fof(f1208,plain,
( ! [X3,X0,X1] :
( ~ sP15(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) )
| ~ spl55_98 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f5074,plain,
( spl55_398
| ~ spl55_34
| ~ spl55_95 ),
inference(avatar_split_clause,[],[f1255,f1195,f853,f5072]) ).
fof(f5072,plain,
( spl55_398
<=> ! [X0] :
( sP14(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_398])]) ).
fof(f1255,plain,
( ! [X0] :
( sP14(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_34
| ~ spl55_95 ),
inference(resolution,[],[f1196,f854]) ).
fof(f5070,plain,
( spl55_397
| ~ spl55_34
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1253,f1191,f853,f5068]) ).
fof(f5068,plain,
( spl55_397
<=> ! [X0] :
( sP12(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_397])]) ).
fof(f1253,plain,
( ! [X0] :
( sP12(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) )
| ~ spl55_34
| ~ spl55_94 ),
inference(resolution,[],[f1192,f854]) ).
fof(f5066,plain,
( spl55_396
| ~ spl55_63
| ~ spl55_87 ),
inference(avatar_split_clause,[],[f1158,f1128,f1003,f5064]) ).
fof(f5064,plain,
( spl55_396
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_396])]) ).
fof(f1158,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl55_63
| ~ spl55_87 ),
inference(resolution,[],[f1129,f1004]) ).
fof(f5062,plain,
( spl55_395
| ~ spl55_69
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1153,f1116,f1027,f5060]) ).
fof(f5060,plain,
( spl55_395
<=> ! [X0,X1] :
( sP22(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_395])]) ).
fof(f1153,plain,
( ! [X0,X1] :
( sP22(X0,szszuzczcdt0(X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl55_69
| ~ spl55_84 ),
inference(resolution,[],[f1117,f1028]) ).
fof(f5058,plain,
( spl55_394
| ~ spl55_46
| ~ spl55_82 ),
inference(avatar_split_clause,[],[f1138,f1108,f910,f5056]) ).
fof(f5056,plain,
( spl55_394
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_394])]) ).
fof(f1138,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl55_46
| ~ spl55_82 ),
inference(resolution,[],[f1109,f911]) ).
fof(f4911,plain,
( spl55_393
| ~ spl55_77
| ~ spl55_185 ),
inference(avatar_split_clause,[],[f1880,f1859,f1085,f4909]) ).
fof(f4909,plain,
( spl55_393
<=> ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_393])]) ).
fof(f1859,plain,
( spl55_185
<=> ! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_185])]) ).
fof(f1880,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_77
| ~ spl55_185 ),
inference(duplicate_literal_removal,[],[f1878]) ).
fof(f1878,plain,
( ! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP1(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_77
| ~ spl55_185 ),
inference(resolution,[],[f1860,f1086]) ).
fof(f1860,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_185 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f4903,plain,
( ~ spl55_12
| spl55_392
| ~ spl55_17
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1682,f1614,f774,f4900,f749]) ).
fof(f4900,plain,
( spl55_392
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_392])]) ).
fof(f1682,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi)
| ~ aSet0(szNzAzT0)
| ~ spl55_17
| ~ spl55_156 ),
inference(resolution,[],[f1615,f776]) ).
fof(f4894,plain,
( ~ spl55_12
| spl55_391
| ~ spl55_19
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1681,f1614,f784,f4891,f749]) ).
fof(f4891,plain,
( spl55_391
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_391])]) ).
fof(f1681,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0)
| ~ spl55_19
| ~ spl55_156 ),
inference(resolution,[],[f1615,f786]) ).
fof(f4885,plain,
( ~ spl55_12
| spl55_390
| ~ spl55_16
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1680,f1614,f769,f4882,f749]) ).
fof(f4882,plain,
( spl55_390
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_390])]) ).
fof(f1680,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ aSet0(szNzAzT0)
| ~ spl55_16
| ~ spl55_156 ),
inference(resolution,[],[f1615,f771]) ).
fof(f4880,plain,
( spl55_389
| ~ spl55_88
| ~ spl55_151 ),
inference(avatar_split_clause,[],[f1599,f1572,f1161,f4878]) ).
fof(f4878,plain,
( spl55_389
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_389])]) ).
fof(f1599,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) )
| ~ spl55_88
| ~ spl55_151 ),
inference(resolution,[],[f1573,f1162]) ).
fof(f4876,plain,
( spl55_388
| ~ spl55_17
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1592,f1568,f774,f4874]) ).
fof(f1592,plain,
( ! [X0] :
( xi = X0
| sP10(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_17
| ~ spl55_150 ),
inference(resolution,[],[f1569,f776]) ).
fof(f4872,plain,
( spl55_387
| ~ spl55_19
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1591,f1568,f784,f4870]) ).
fof(f1591,plain,
( ! [X0] :
( xk = X0
| sP10(X0,xk)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_19
| ~ spl55_150 ),
inference(resolution,[],[f1569,f786]) ).
fof(f4868,plain,
( spl55_386
| ~ spl55_16
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1590,f1568,f769,f4866]) ).
fof(f1590,plain,
( ! [X0] :
( xK = X0
| sP10(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_16
| ~ spl55_150 ),
inference(resolution,[],[f1569,f771]) ).
fof(f4864,plain,
( spl55_385
| ~ spl55_20
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f1586,f1568,f789,f4862]) ).
fof(f1586,plain,
( ! [X0] :
( sz00 = X0
| sP10(X0,sz00)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_20
| ~ spl55_150 ),
inference(resolution,[],[f1569,f791]) ).
fof(f4843,plain,
( ~ spl55_17
| spl55_384
| ~ spl55_76
| ~ spl55_133 ),
inference(avatar_split_clause,[],[f1465,f1446,f1080,f4840,f774]) ).
fof(f4840,plain,
( spl55_384
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_384])]) ).
fof(f1465,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl55_76
| ~ spl55_133 ),
inference(resolution,[],[f1447,f1082]) ).
fof(f4838,plain,
( spl55_383
| ~ spl55_142
| ~ spl55_368 ),
inference(avatar_split_clause,[],[f4406,f4393,f1499,f4835]) ).
fof(f4835,plain,
( spl55_383
<=> aElement0(szszuzczcdt0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_383])]) ).
fof(f4393,plain,
( spl55_368
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_368])]) ).
fof(f4406,plain,
( aElement0(szszuzczcdt0(sK23))
| ~ spl55_142
| ~ spl55_368 ),
inference(resolution,[],[f4394,f1501]) ).
fof(f4394,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) )
| ~ spl55_368 ),
inference(avatar_component_clause,[],[f4393]) ).
fof(f4824,plain,
( ~ spl55_5
| spl55_382
| ~ spl55_22
| ~ spl55_123 ),
inference(avatar_split_clause,[],[f1402,f1359,f798,f4822,f714]) ).
fof(f4822,plain,
( spl55_382
<=> ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_382])]) ).
fof(f1402,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_123 ),
inference(superposition,[],[f1360,f800]) ).
fof(f4819,plain,
( ~ spl55_5
| spl55_381
| ~ spl55_22
| ~ spl55_114 ),
inference(avatar_split_clause,[],[f1385,f1322,f798,f4817,f714]) ).
fof(f4817,plain,
( spl55_381
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_381])]) ).
fof(f1385,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_114 ),
inference(superposition,[],[f1323,f800]) ).
fof(f4813,plain,
( ~ spl55_6
| ~ spl55_7
| spl55_380
| ~ spl55_39
| ~ spl55_99 ),
inference(avatar_split_clause,[],[f1265,f1211,f880,f4810,f724,f719]) ).
fof(f4810,plain,
( spl55_380
<=> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_380])]) ).
fof(f1265,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT)
| ~ spl55_39
| ~ spl55_99 ),
inference(resolution,[],[f1212,f882]) ).
fof(f4797,plain,
( ~ spl55_73
| spl55_228
| ~ spl55_63
| ~ spl55_76 ),
inference(avatar_split_clause,[],[f1088,f1080,f1003,f2410,f1067]) ).
fof(f2410,plain,
( spl55_228
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_228])]) ).
fof(f1088,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl55_63
| ~ spl55_76 ),
inference(resolution,[],[f1082,f1004]) ).
fof(f4745,plain,
( spl55_379
| ~ spl55_170
| ~ spl55_204 ),
inference(avatar_split_clause,[],[f2068,f2065,f1765,f4743]) ).
fof(f4743,plain,
( spl55_379
<=> ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_379])]) ).
fof(f1765,plain,
( spl55_170
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_170])]) ).
fof(f2065,plain,
( spl55_204
<=> ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_204])]) ).
fof(f2068,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,xQ) )
| ~ spl55_170
| ~ spl55_204 ),
inference(resolution,[],[f2066,f1766]) ).
fof(f1766,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
| ~ spl55_170 ),
inference(avatar_component_clause,[],[f1765]) ).
fof(f2066,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
| ~ spl55_204 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f4664,plain,
( spl55_378
| ~ spl55_31
| ~ spl55_170
| ~ spl55_304 ),
inference(avatar_split_clause,[],[f4570,f3790,f1765,f840,f4662]) ).
fof(f4662,plain,
( spl55_378
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_378])]) ).
fof(f3790,plain,
( spl55_304
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl55_304])]) ).
fof(f4570,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X0,xQ) )
| ~ spl55_31
| ~ spl55_170
| ~ spl55_304 ),
inference(forward_demodulation,[],[f4569,f842]) ).
fof(f4569,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(sdtlpdtrp0(xN,sz00))))
| ~ aElementOf0(X0,xQ) )
| ~ spl55_170
| ~ spl55_304 ),
inference(forward_demodulation,[],[f1766,f3792]) ).
fof(f3792,plain,
( sz00 = xi
| ~ spl55_304 ),
inference(avatar_component_clause,[],[f3790]) ).
fof(f4566,plain,
( spl55_377
| ~ spl55_358
| ~ spl55_376 ),
inference(avatar_split_clause,[],[f4562,f4559,f4257,f4564]) ).
fof(f4564,plain,
( spl55_377
<=> ! [X0] :
( xQ = X0
| ~ aSet0(X0)
| aElement0(sK48(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_377])]) ).
fof(f4257,plain,
( spl55_358
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl55_358])]) ).
fof(f4559,plain,
( spl55_376
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK48(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_376])]) ).
fof(f4562,plain,
( ! [X0] :
( xQ = X0
| ~ aSet0(X0)
| aElement0(sK48(X0)) )
| ~ spl55_358
| ~ spl55_376 ),
inference(forward_demodulation,[],[f4560,f4259]) ).
fof(f4259,plain,
( slcrc0 = xQ
| ~ spl55_358 ),
inference(avatar_component_clause,[],[f4257]) ).
fof(f4560,plain,
( ! [X0] :
( aElement0(sK48(X0))
| ~ aSet0(X0)
| slcrc0 = X0 )
| ~ spl55_376 ),
inference(avatar_component_clause,[],[f4559]) ).
fof(f4561,plain,
( spl55_376
| ~ spl55_63
| ~ spl55_101 ),
inference(avatar_split_clause,[],[f1293,f1219,f1003,f4559]) ).
fof(f1293,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK48(X0)) )
| ~ spl55_63
| ~ spl55_101 ),
inference(duplicate_literal_removal,[],[f1280]) ).
fof(f1280,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK48(X0))
| ~ aSet0(X0) )
| ~ spl55_63
| ~ spl55_101 ),
inference(resolution,[],[f1220,f1004]) ).
fof(f4557,plain,
( ~ spl55_375
| ~ spl55_358
| spl55_374 ),
inference(avatar_split_clause,[],[f4552,f4548,f4257,f4554]) ).
fof(f4554,plain,
( spl55_375
<=> szNzAzT0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl55_375])]) ).
fof(f4552,plain,
( szNzAzT0 != xQ
| ~ spl55_358
| spl55_374 ),
inference(forward_demodulation,[],[f4549,f4259]) ).
fof(f4549,plain,
( slcrc0 != szNzAzT0
| spl55_374 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f4551,plain,
( spl55_373
| ~ spl55_12
| spl55_374
| ~ spl55_36
| ~ spl55_101 ),
inference(avatar_split_clause,[],[f1287,f1219,f861,f4548,f749,f4544]) ).
fof(f4544,plain,
( spl55_373
<=> sP16(sK48(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_373])]) ).
fof(f1287,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP16(sK48(szNzAzT0))
| ~ spl55_36
| ~ spl55_101 ),
inference(resolution,[],[f1220,f862]) ).
fof(f4481,plain,
( spl55_372
| ~ spl55_36
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1273,f1215,f861,f4479]) ).
fof(f4479,plain,
( spl55_372
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP16(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_372])]) ).
fof(f1273,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sP16(sK46(X0)) )
| ~ spl55_36
| ~ spl55_100 ),
inference(resolution,[],[f1216,f862]) ).
fof(f4477,plain,
( spl55_371
| ~ spl55_45
| ~ spl55_82 ),
inference(avatar_split_clause,[],[f1139,f1108,f906,f4475]) ).
fof(f4475,plain,
( spl55_371
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_371])]) ).
fof(f1139,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| isFinite0(slbdtrb0(sbrdtbr0(X0))) )
| ~ spl55_45
| ~ spl55_82 ),
inference(resolution,[],[f1109,f907]) ).
fof(f4446,plain,
( spl55_370
| ~ spl55_359
| ~ spl55_369 ),
inference(avatar_split_clause,[],[f4442,f4439,f4261,f4444]) ).
fof(f4444,plain,
( spl55_370
<=> ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_370])]) ).
fof(f4261,plain,
( spl55_359
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl55_359])]) ).
fof(f4439,plain,
( spl55_369
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_369])]) ).
fof(f4442,plain,
( ! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_359
| ~ spl55_369 ),
inference(forward_demodulation,[],[f4440,f4262]) ).
fof(f4262,plain,
( sz00 = xk
| ~ spl55_359 ),
inference(avatar_component_clause,[],[f4261]) ).
fof(f4440,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) )
| ~ spl55_369 ),
inference(avatar_component_clause,[],[f4439]) ).
fof(f4441,plain,
( spl55_369
| ~ spl55_47
| ~ spl55_82 ),
inference(avatar_split_clause,[],[f1137,f1108,f914,f4439]) ).
fof(f1137,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl55_47
| ~ spl55_82 ),
inference(resolution,[],[f1109,f915]) ).
fof(f4395,plain,
( ~ spl55_12
| spl55_368
| ~ spl55_63
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1063,f1027,f1003,f4393,f749]) ).
fof(f1063,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl55_63
| ~ spl55_69 ),
inference(resolution,[],[f1028,f1004]) ).
fof(f4391,plain,
( spl55_367
| ~ spl55_46
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1060,f1027,f910,f4389]) ).
fof(f4389,plain,
( spl55_367
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_367])]) ).
fof(f1060,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl55_46
| ~ spl55_69 ),
inference(resolution,[],[f1028,f911]) ).
fof(f4387,plain,
( spl55_366
| ~ spl55_142
| ~ spl55_362 ),
inference(avatar_split_clause,[],[f4289,f4276,f1499,f4384]) ).
fof(f4384,plain,
( spl55_366
<=> sP9(xS,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_366])]) ).
fof(f4289,plain,
( sP9(xS,sK23)
| ~ spl55_142
| ~ spl55_362 ),
inference(resolution,[],[f4277,f1501]) ).
fof(f4378,plain,
( spl55_365
| spl55_304
| ~ spl55_17
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1535,f1495,f774,f3790,f4375]) ).
fof(f4375,plain,
( spl55_365
<=> xi = szszuzczcdt0(sK43(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_365])]) ).
fof(f1535,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK43(xi))
| ~ spl55_17
| ~ spl55_141 ),
inference(resolution,[],[f1496,f776]) ).
fof(f4344,plain,
( spl55_364
| spl55_359
| ~ spl55_19
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1534,f1495,f784,f4261,f4341]) ).
fof(f4341,plain,
( spl55_364
<=> xk = szszuzczcdt0(sK43(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_364])]) ).
fof(f1534,plain,
( sz00 = xk
| xk = szszuzczcdt0(sK43(xk))
| ~ spl55_19
| ~ spl55_141 ),
inference(resolution,[],[f1496,f786]) ).
fof(f4316,plain,
( spl55_363
| spl55_15
| ~ spl55_16
| ~ spl55_141 ),
inference(avatar_split_clause,[],[f1533,f1495,f769,f764,f4313]) ).
fof(f4313,plain,
( spl55_363
<=> xK = szszuzczcdt0(sK43(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_363])]) ).
fof(f764,plain,
( spl55_15
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).
fof(f1533,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK43(xK))
| ~ spl55_16
| ~ spl55_141 ),
inference(resolution,[],[f1496,f771]) ).
fof(f4278,plain,
( spl55_362
| ~ spl55_9
| ~ spl55_18
| ~ spl55_134 ),
inference(avatar_split_clause,[],[f1473,f1450,f779,f734,f4276]) ).
fof(f734,plain,
( spl55_9
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).
fof(f779,plain,
( spl55_18
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).
fof(f1473,plain,
( ! [X0] :
( ~ isCountable0(xS)
| sP9(xS,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_18
| ~ spl55_134 ),
inference(resolution,[],[f1451,f781]) ).
fof(f781,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f4273,plain,
( ~ spl55_360
| spl55_361
| ~ spl55_38
| ~ spl55_108 ),
inference(avatar_split_clause,[],[f1299,f1247,f875,f4270,f4266]) ).
fof(f4266,plain,
( spl55_360
<=> sP22(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_360])]) ).
fof(f4270,plain,
( spl55_361
<=> sP21(xK,xS,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_361])]) ).
fof(f1299,plain,
( sP21(xK,xS,szDzozmdt0(xc))
| ~ sP22(xS,xK)
| ~ spl55_38
| ~ spl55_108 ),
inference(superposition,[],[f1248,f877]) ).
fof(f4264,plain,
( ~ spl55_10
| spl55_358
| ~ spl55_359
| ~ spl55_24
| ~ spl55_96 ),
inference(avatar_split_clause,[],[f1257,f1199,f808,f4261,f4257,f739]) ).
fof(f1199,plain,
( spl55_96
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_96])]) ).
fof(f1257,plain,
( sz00 != xk
| slcrc0 = xQ
| ~ aSet0(xQ)
| ~ spl55_24
| ~ spl55_96 ),
inference(superposition,[],[f1200,f810]) ).
fof(f1200,plain,
( ! [X0] :
( sz00 != sbrdtbr0(X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl55_96 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f4247,plain,
( ~ spl55_5
| spl55_357
| ~ spl55_22
| ~ spl55_95 ),
inference(avatar_split_clause,[],[f1256,f1195,f798,f4245,f714]) ).
fof(f4245,plain,
( spl55_357
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP14(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_357])]) ).
fof(f1256,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP14(X0,xN)
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_95 ),
inference(superposition,[],[f1196,f800]) ).
fof(f4234,plain,
( spl55_356
| ~ spl55_142
| ~ spl55_31
| ~ spl55_226
| ~ spl55_227 ),
inference(avatar_split_clause,[],[f2435,f2406,f2181,f840,f1499,f4232]) ).
fof(f2435,plain,
( ! [X0] :
( ~ aElementOf0(sK23,szNzAzT0)
| ~ sdtlseqdt0(sK23,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_31
| ~ spl55_226
| ~ spl55_227 ),
inference(forward_demodulation,[],[f2434,f2183]) ).
fof(f2434,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK23,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_31
| ~ spl55_226
| ~ spl55_227 ),
inference(forward_demodulation,[],[f2431,f2183]) ).
fof(f4222,plain,
( spl55_355
| ~ spl55_36
| ~ spl55_295 ),
inference(avatar_split_clause,[],[f4051,f3648,f861,f4219]) ).
fof(f4219,plain,
( spl55_355
<=> sP16(sK43(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_355])]) ).
fof(f4051,plain,
( sP16(sK43(sK23))
| ~ spl55_36
| ~ spl55_295 ),
inference(resolution,[],[f3649,f862]) ).
fof(f4217,plain,
( ~ spl55_5
| spl55_354
| ~ spl55_22
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1254,f1191,f798,f4215,f714]) ).
fof(f4215,plain,
( spl55_354
<=> ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP12(X0,xN) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_354])]) ).
fof(f1254,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP12(X0,xN)
| ~ aFunction0(xN) )
| ~ spl55_22
| ~ spl55_94 ),
inference(superposition,[],[f1192,f800]) ).
fof(f4211,plain,
( ~ spl55_352
| spl55_353
| ~ spl55_22
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1252,f1179,f798,f4208,f4204]) ).
fof(f4204,plain,
( spl55_352
<=> sP5(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_352])]) ).
fof(f4208,plain,
( spl55_353
<=> aElementOf0(sK30(xN),sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_353])]) ).
fof(f1252,plain,
( aElementOf0(sK30(xN),sdtlcdtrc0(xN,szNzAzT0))
| ~ sP5(xN)
| ~ spl55_22
| ~ spl55_91 ),
inference(superposition,[],[f1180,f800]) ).
fof(f4182,plain,
( spl55_351
| ~ spl55_275 ),
inference(avatar_split_clause,[],[f3451,f3370,f4180]) ).
fof(f4180,plain,
( spl55_351
<=> ! [X0] :
( sP11(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_351])]) ).
fof(f3451,plain,
( ! [X0] :
( sP11(X0,X0,szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl55_275 ),
inference(equality_resolution,[],[f3371]) ).
fof(f4161,plain,
( ~ spl55_14
| spl55_350
| ~ spl55_21
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f1699,f1622,f794,f4159,f759]) ).
fof(f4159,plain,
( spl55_350
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_350])]) ).
fof(f1699,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl55_21
| ~ spl55_158 ),
inference(resolution,[],[f1623,f795]) ).
fof(f4157,plain,
( spl55_349
| ~ spl55_51
| ~ spl55_108 ),
inference(avatar_split_clause,[],[f1298,f1247,f931,f4155]) ).
fof(f4155,plain,
( spl55_349
<=> ! [X0,X1] :
( ~ sP22(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_349])]) ).
fof(f931,plain,
( spl55_51
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP21(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_51])]) ).
fof(f1298,plain,
( ! [X0,X1] :
( ~ sP22(X0,X1)
| aSet0(slbdtsldtrb0(X0,X1)) )
| ~ spl55_51
| ~ spl55_108 ),
inference(resolution,[],[f1248,f932]) ).
fof(f932,plain,
( ! [X2,X0,X1] :
( ~ sP21(X0,X1,X2)
| aSet0(X2) )
| ~ spl55_51 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f4153,plain,
( spl55_348
| ~ spl55_49
| ~ spl55_106 ),
inference(avatar_split_clause,[],[f1297,f1239,f922,f4151]) ).
fof(f4151,plain,
( spl55_348
<=> ! [X0,X1] :
( ~ sP18(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_348])]) ).
fof(f922,plain,
( spl55_49
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).
fof(f1297,plain,
( ! [X0,X1] :
( ~ sP18(X0,X1)
| aSet0(sdtlbdtrb0(X0,X1)) )
| ~ spl55_49
| ~ spl55_106 ),
inference(resolution,[],[f1240,f923]) ).
fof(f923,plain,
( ! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| aSet0(X2) )
| ~ spl55_49 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f4149,plain,
( spl55_347
| ~ spl55_44
| ~ spl55_105 ),
inference(avatar_split_clause,[],[f1296,f1235,f902,f4147]) ).
fof(f4147,plain,
( spl55_347
<=> ! [X0,X1] :
( ~ sP14(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_347])]) ).
fof(f902,plain,
( spl55_44
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP13(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_44])]) ).
fof(f1296,plain,
( ! [X0,X1] :
( ~ sP14(X0,X1)
| aSet0(sdtlcdtrc0(X1,X0)) )
| ~ spl55_44
| ~ spl55_105 ),
inference(resolution,[],[f1236,f903]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ sP13(X0,X1,X2)
| aSet0(X2) )
| ~ spl55_44 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f4145,plain,
( spl55_346
| ~ spl55_43
| ~ spl55_104 ),
inference(avatar_split_clause,[],[f1295,f1231,f898,f4143]) ).
fof(f4143,plain,
( spl55_346
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_346])]) ).
fof(f898,plain,
( spl55_43
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_43])]) ).
fof(f1295,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| aFunction0(sdtexdt0(X1,X0)) )
| ~ spl55_43
| ~ spl55_104 ),
inference(resolution,[],[f1232,f899]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( ~ sP11(X0,X1,X2)
| aFunction0(X0) )
| ~ spl55_43 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f4141,plain,
( spl55_345
| ~ spl55_36
| ~ spl55_82 ),
inference(avatar_split_clause,[],[f1140,f1108,f861,f4139]) ).
fof(f4139,plain,
( spl55_345
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP16(sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_345])]) ).
fof(f1140,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sP16(sbrdtbr0(X0)) )
| ~ spl55_36
| ~ spl55_82 ),
inference(resolution,[],[f1109,f862]) ).
fof(f4137,plain,
( spl55_344
| ~ spl55_142
| ~ spl55_339 ),
inference(avatar_split_clause,[],[f4085,f4072,f1499,f4134]) ).
fof(f4134,plain,
( spl55_344
<=> sP16(szszuzczcdt0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_344])]) ).
fof(f4072,plain,
( spl55_339
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP16(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_339])]) ).
fof(f4085,plain,
( sP16(szszuzczcdt0(sK23))
| ~ spl55_142
| ~ spl55_339 ),
inference(resolution,[],[f4073,f1501]) ).
fof(f4073,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP16(szszuzczcdt0(X0)) )
| ~ spl55_339 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f4132,plain,
( spl55_343
| ~ spl55_45
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1061,f1027,f906,f4130]) ).
fof(f4130,plain,
( spl55_343
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_343])]) ).
fof(f1061,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(szszuzczcdt0(X0))) )
| ~ spl55_45
| ~ spl55_69 ),
inference(resolution,[],[f1028,f907]) ).
fof(f4128,plain,
( spl55_342
| ~ spl55_47
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1059,f1027,f914,f4126]) ).
fof(f4126,plain,
( spl55_342
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_342])]) ).
fof(f1059,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl55_47
| ~ spl55_69 ),
inference(resolution,[],[f1028,f915]) ).
fof(f4120,plain,
( ~ spl55_19
| spl55_341
| ~ spl55_23
| ~ spl55_87 ),
inference(avatar_split_clause,[],[f1159,f1128,f803,f4117,f784]) ).
fof(f4117,plain,
( spl55_341
<=> aElementOf0(xk,slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_341])]) ).
fof(f1159,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl55_23
| ~ spl55_87 ),
inference(superposition,[],[f1129,f805]) ).
fof(f4115,plain,
( ~ spl55_10
| spl55_340
| ~ spl55_19
| ~ spl55_24
| ~ spl55_81 ),
inference(avatar_split_clause,[],[f1133,f1104,f808,f784,f4112,f739]) ).
fof(f1104,plain,
( spl55_81
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_81])]) ).
fof(f1133,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl55_24
| ~ spl55_81 ),
inference(superposition,[],[f1105,f810]) ).
fof(f1105,plain,
( ! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl55_81 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f4074,plain,
( spl55_339
| ~ spl55_36
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1062,f1027,f861,f4072]) ).
fof(f1062,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP16(szszuzczcdt0(X0)) )
| ~ spl55_36
| ~ spl55_69 ),
inference(resolution,[],[f1028,f862]) ).
fof(f4068,plain,
( ~ spl55_338
| ~ spl55_170
| spl55_171 ),
inference(avatar_split_clause,[],[f1781,f1769,f1765,f4065]) ).
fof(f4065,plain,
( spl55_338
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_338])]) ).
fof(f1769,plain,
( spl55_171
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_171])]) ).
fof(f1781,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| ~ spl55_170
| spl55_171 ),
inference(resolution,[],[f1771,f1766]) ).
fof(f1771,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| spl55_171 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f4047,plain,
( ~ spl55_336
| spl55_337
| ~ spl55_31
| ~ spl55_113 ),
inference(avatar_split_clause,[],[f1383,f1318,f840,f4044,f4040]) ).
fof(f4040,plain,
( spl55_336
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_336])]) ).
fof(f4044,plain,
( spl55_337
<=> aElementOf0(szmzizndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_337])]) ).
fof(f1383,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ sP1(sz00)
| ~ spl55_31
| ~ spl55_113 ),
inference(superposition,[],[f1319,f842]) ).
fof(f4036,plain,
( spl55_334
| ~ spl55_335
| ~ spl55_88
| ~ spl55_91 ),
inference(avatar_split_clause,[],[f1250,f1179,f1161,f4033,f4029]) ).
fof(f4029,plain,
( spl55_334
<=> aElementOf0(sK30(xc),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_334])]) ).
fof(f4033,plain,
( spl55_335
<=> sP5(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_335])]) ).
fof(f1250,plain,
( ~ sP5(xc)
| aElementOf0(sK30(xc),xT)
| ~ spl55_88
| ~ spl55_91 ),
inference(resolution,[],[f1180,f1162]) ).
fof(f4025,plain,
( ~ spl55_19
| spl55_333
| ~ spl55_23
| ~ spl55_68 ),
inference(avatar_split_clause,[],[f1058,f1023,f803,f4022,f784]) ).
fof(f4022,plain,
( spl55_333
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_333])]) ).
fof(f1058,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl55_23
| ~ spl55_68 ),
inference(superposition,[],[f1024,f805]) ).
fof(f4020,plain,
( ~ spl55_19
| spl55_332
| ~ spl55_23
| ~ spl55_67 ),
inference(avatar_split_clause,[],[f1057,f1019,f803,f4017,f784]) ).
fof(f1019,plain,
( spl55_67
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_67])]) ).
fof(f1057,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl55_23
| ~ spl55_67 ),
inference(superposition,[],[f1020,f805]) ).
fof(f1020,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_67 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f4007,plain,
( ~ spl55_19
| ~ spl55_331
| ~ spl55_23
| ~ spl55_66 ),
inference(avatar_split_clause,[],[f1056,f1015,f803,f4004,f784]) ).
fof(f4004,plain,
( spl55_331
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_331])]) ).
fof(f1056,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl55_23
| ~ spl55_66 ),
inference(superposition,[],[f1016,f805]) ).
fof(f4002,plain,
( ~ spl55_19
| ~ spl55_330
| ~ spl55_23
| ~ spl55_65 ),
inference(avatar_split_clause,[],[f1055,f1011,f803,f3999,f784]) ).
fof(f1011,plain,
( spl55_65
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_65])]) ).
fof(f1055,plain,
( xK != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl55_23
| ~ spl55_65 ),
inference(superposition,[],[f1012,f805]) ).
fof(f1012,plain,
( ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_65 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f3997,plain,
( ~ spl55_328
| spl55_329
| ~ spl55_22
| ~ spl55_61 ),
inference(avatar_split_clause,[],[f1045,f995,f798,f3994,f3990]) ).
fof(f3990,plain,
( spl55_328
<=> sP8(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_328])]) ).
fof(f3994,plain,
( spl55_329
<=> aSet0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_329])]) ).
fof(f995,plain,
( spl55_61
<=> ! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_61])]) ).
fof(f1045,plain,
( aSet0(sdtlcdtrc0(xN,szNzAzT0))
| ~ sP8(xN)
| ~ spl55_22
| ~ spl55_61 ),
inference(superposition,[],[f996,f800]) ).
fof(f996,plain,
( ! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP8(X0) )
| ~ spl55_61 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f3987,plain,
( ~ spl55_326
| spl55_327
| ~ spl55_23
| ~ spl55_59 ),
inference(avatar_split_clause,[],[f1042,f987,f803,f3984,f3980]) ).
fof(f3984,plain,
( spl55_327
<=> aSet0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_327])]) ).
fof(f987,plain,
( spl55_59
<=> ! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_59])]) ).
fof(f1042,plain,
( aSet0(sdtlpdtrp0(xN,xK))
| ~ sP1(xk)
| ~ spl55_23
| ~ spl55_59 ),
inference(superposition,[],[f988,f805]) ).
fof(f988,plain,
( ! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) )
| ~ spl55_59 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f3977,plain,
( spl55_325
| ~ spl55_20
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1152,f1116,f789,f3975]) ).
fof(f3975,plain,
( spl55_325
<=> ! [X0] :
( sP22(X0,sz00)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_325])]) ).
fof(f1152,plain,
( ! [X0] :
( sP22(X0,sz00)
| ~ aSet0(X0) )
| ~ spl55_20
| ~ spl55_84 ),
inference(resolution,[],[f1117,f791]) ).
fof(f3969,plain,
( ~ spl55_119
| spl55_324
| ~ spl55_28
| ~ spl55_53 ),
inference(avatar_split_clause,[],[f965,f941,f825,f3966,f1342]) ).
fof(f1342,plain,
( spl55_119
<=> sP16(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_119])]) ).
fof(f3966,plain,
( spl55_324
<=> sP15(sz00,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_324])]) ).
fof(f965,plain,
( sP15(sz00,slcrc0)
| ~ sP16(sz00)
| ~ spl55_28
| ~ spl55_53 ),
inference(superposition,[],[f942,f827]) ).
fof(f3964,plain,
( spl55_323
| ~ spl55_35
| ~ spl55_53 ),
inference(avatar_split_clause,[],[f964,f941,f857,f3962]) ).
fof(f3962,plain,
( spl55_323
<=> ! [X0] :
( ~ sP16(X0)
| aSet0(slbdtrb0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_323])]) ).
fof(f857,plain,
( spl55_35
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_35])]) ).
fof(f964,plain,
( ! [X0] :
( ~ sP16(X0)
| aSet0(slbdtrb0(X0)) )
| ~ spl55_35
| ~ spl55_53 ),
inference(resolution,[],[f942,f858]) ).
fof(f858,plain,
( ! [X0,X1] :
( ~ sP15(X0,X1)
| aSet0(X1) )
| ~ spl55_35 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f3957,plain,
( spl55_322
| ~ spl55_142
| ~ spl55_31
| ~ spl55_226
| ~ spl55_227 ),
inference(avatar_split_clause,[],[f2433,f2406,f2181,f840,f1499,f3955]) ).
fof(f3955,plain,
( spl55_322
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sK23)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_322])]) ).
fof(f2433,plain,
( ! [X0] :
( ~ aElementOf0(sK23,szNzAzT0)
| ~ sdtlseqdt0(X0,sK23)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_31
| ~ spl55_226
| ~ spl55_227 ),
inference(forward_demodulation,[],[f2432,f2183]) ).
fof(f2432,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sK23)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl55_31
| ~ spl55_226
| ~ spl55_227 ),
inference(forward_demodulation,[],[f2430,f2183]) ).
fof(f3951,plain,
( ~ spl55_320
| ~ spl55_321
| ~ spl55_31
| ~ spl55_221
| ~ spl55_226 ),
inference(avatar_split_clause,[],[f2392,f2181,f2150,f840,f3948,f3944]) ).
fof(f3944,plain,
( spl55_320
<=> aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_320])]) ).
fof(f3948,plain,
( spl55_321
<=> sP0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_321])]) ).
fof(f2392,plain,
( ~ sP0(sK23)
| ~ aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl55_31
| ~ spl55_221
| ~ spl55_226 ),
inference(forward_demodulation,[],[f2391,f2183]) ).
fof(f2391,plain,
( ~ aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)))
| ~ sP0(sz00)
| ~ spl55_31
| ~ spl55_221 ),
inference(superposition,[],[f2151,f842]) ).
fof(f3942,plain,
( ~ spl55_142
| spl55_226
| ~ spl55_120
| spl55_295 ),
inference(avatar_split_clause,[],[f3854,f3648,f1347,f2181,f1499]) ).
fof(f3854,plain,
( sz00 = sK23
| ~ aElementOf0(sK23,szNzAzT0)
| ~ spl55_120
| spl55_295 ),
inference(resolution,[],[f3650,f1348]) ).
fof(f3650,plain,
( ~ aElementOf0(sK43(sK23),szNzAzT0)
| spl55_295 ),
inference(avatar_component_clause,[],[f3648]) ).
fof(f3868,plain,
( spl55_319
| ~ spl55_148
| ~ spl55_170 ),
inference(avatar_split_clause,[],[f1777,f1765,f1559,f3866]) ).
fof(f3866,plain,
( spl55_319
<=> ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_319])]) ).
fof(f1777,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElement0(X0) )
| ~ spl55_148
| ~ spl55_170 ),
inference(resolution,[],[f1766,f1560]) ).
fof(f3864,plain,
( spl55_318
| ~ spl55_17
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1157,f1116,f774,f3862]) ).
fof(f3862,plain,
( spl55_318
<=> ! [X0] :
( sP22(X0,xi)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_318])]) ).
fof(f1157,plain,
( ! [X0] :
( sP22(X0,xi)
| ~ aSet0(X0) )
| ~ spl55_17
| ~ spl55_84 ),
inference(resolution,[],[f1117,f776]) ).
fof(f3860,plain,
( spl55_317
| ~ spl55_19
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1156,f1116,f784,f3858]) ).
fof(f3858,plain,
( spl55_317
<=> ! [X0] :
( sP22(X0,xk)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_317])]) ).
fof(f1156,plain,
( ! [X0] :
( sP22(X0,xk)
| ~ aSet0(X0) )
| ~ spl55_19
| ~ spl55_84 ),
inference(resolution,[],[f1117,f786]) ).
fof(f3853,plain,
( spl55_316
| ~ spl55_16
| ~ spl55_84 ),
inference(avatar_split_clause,[],[f1155,f1116,f769,f3851]) ).
fof(f3851,plain,
( spl55_316
<=> ! [X0] :
( sP22(X0,xK)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_316])]) ).
fof(f1155,plain,
( ! [X0] :
( sP22(X0,xK)
| ~ aSet0(X0) )
| ~ spl55_16
| ~ spl55_84 ),
inference(resolution,[],[f1117,f771]) ).
fof(f3849,plain,
( spl55_315
| ~ spl55_17
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f1150,f1112,f774,f3846]) ).
fof(f3846,plain,
( spl55_315
<=> xi = sbrdtbr0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_315])]) ).
fof(f1150,plain,
( xi = sbrdtbr0(slbdtrb0(xi))
| ~ spl55_17
| ~ spl55_83 ),
inference(resolution,[],[f1113,f776]) ).
fof(f3844,plain,
( spl55_314
| ~ spl55_19
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f1149,f1112,f784,f3841]) ).
fof(f3841,plain,
( spl55_314
<=> xk = sbrdtbr0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_314])]) ).
fof(f1149,plain,
( xk = sbrdtbr0(slbdtrb0(xk))
| ~ spl55_19
| ~ spl55_83 ),
inference(resolution,[],[f1113,f786]) ).
fof(f3839,plain,
( spl55_313
| ~ spl55_16
| ~ spl55_83 ),
inference(avatar_split_clause,[],[f1148,f1112,f769,f3836]) ).
fof(f3836,plain,
( spl55_313
<=> xK = sbrdtbr0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_313])]) ).
fof(f1148,plain,
( xK = sbrdtbr0(slbdtrb0(xK))
| ~ spl55_16
| ~ spl55_83 ),
inference(resolution,[],[f1113,f771]) ).
fof(f3834,plain,
( ~ spl55_73
| ~ spl55_311
| spl55_312
| ~ spl55_2
| ~ spl55_211 ),
inference(avatar_split_clause,[],[f2217,f2110,f699,f3831,f3827,f1067]) ).
fof(f3831,plain,
( spl55_312
<=> sbrdtbr0(sdtlpdtrp0(xN,xi)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlpdtrp0(xN,xi),sK23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_312])]) ).
fof(f2217,plain,
( sbrdtbr0(sdtlpdtrp0(xN,xi)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtlpdtrp0(xN,xi),sK23)))
| ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl55_2
| ~ spl55_211 ),
inference(resolution,[],[f2111,f701]) ).
fof(f3825,plain,
( ~ spl55_12
| ~ spl55_310
| ~ spl55_13
| ~ spl55_48 ),
inference(avatar_split_clause,[],[f963,f918,f754,f3822,f749]) ).
fof(f3822,plain,
( spl55_310
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_310])]) ).
fof(f963,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl55_13
| ~ spl55_48 ),
inference(resolution,[],[f919,f756]) ).
fof(f756,plain,
( isCountable0(szNzAzT0)
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f3820,plain,
( ~ spl55_14
| spl55_309
| ~ spl55_33
| ~ spl55_52 ),
inference(avatar_split_clause,[],[f939,f935,f849,f3817,f759]) ).
fof(f3817,plain,
( spl55_309
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_309])]) ).
fof(f849,plain,
( spl55_33
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_33])]) ).
fof(f939,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl55_33
| ~ spl55_52 ),
inference(superposition,[],[f850,f937]) ).
fof(f850,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl55_33 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f3815,plain,
( ~ spl55_12
| spl55_308
| ~ spl55_17
| ~ spl55_63 ),
inference(avatar_split_clause,[],[f1049,f1003,f774,f3812,f749]) ).
fof(f3812,plain,
( spl55_308
<=> aElement0(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_308])]) ).
fof(f1049,plain,
( aElement0(xi)
| ~ aSet0(szNzAzT0)
| ~ spl55_17
| ~ spl55_63 ),
inference(resolution,[],[f1004,f776]) ).
fof(f3810,plain,
( ~ spl55_12
| spl55_307
| ~ spl55_16
| ~ spl55_63 ),
inference(avatar_split_clause,[],[f1047,f1003,f769,f3807,f749]) ).
fof(f3807,plain,
( spl55_307
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_307])]) ).
fof(f1047,plain,
( aElement0(xK)
| ~ aSet0(szNzAzT0)
| ~ spl55_16
| ~ spl55_63 ),
inference(resolution,[],[f1004,f771]) ).
fof(f3805,plain,
( ~ spl55_8
| ~ spl55_306
| ~ spl55_9
| ~ spl55_48 ),
inference(avatar_split_clause,[],[f962,f918,f734,f3802,f729]) ).
fof(f729,plain,
( spl55_8
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).
fof(f3802,plain,
( spl55_306
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_306])]) ).
fof(f962,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl55_9
| ~ spl55_48 ),
inference(resolution,[],[f919,f736]) ).
fof(f736,plain,
( isCountable0(xS)
| ~ spl55_9 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f3800,plain,
( ~ spl55_10
| spl55_305
| ~ spl55_24
| ~ spl55_33 ),
inference(avatar_split_clause,[],[f865,f849,f808,f3797,f739]) ).
fof(f3797,plain,
( spl55_305
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_305])]) ).
fof(f865,plain,
( aElement0(xk)
| ~ aSet0(xQ)
| ~ spl55_24
| ~ spl55_33 ),
inference(superposition,[],[f850,f810]) ).
fof(f3793,plain,
( spl55_304
| ~ spl55_20
| ~ spl55_302 ),
inference(avatar_split_clause,[],[f3726,f3717,f789,f3790]) ).
fof(f3717,plain,
( spl55_302
<=> ! [X0] :
( xi = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_302])]) ).
fof(f3726,plain,
( sz00 = xi
| ~ spl55_20
| ~ spl55_302 ),
inference(resolution,[],[f3718,f791]) ).
fof(f3718,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| xi = X0 )
| ~ spl55_302 ),
inference(avatar_component_clause,[],[f3717]) ).
fof(f3723,plain,
( ~ spl55_17
| spl55_302
| spl55_303
| ~ spl55_2
| ~ spl55_261 ),
inference(avatar_split_clause,[],[f3187,f3178,f699,f3720,f3717,f774]) ).
fof(f3720,plain,
( spl55_303
<=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_303])]) ).
fof(f3187,plain,
( ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),sK23)
| xi = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) )
| ~ spl55_2
| ~ spl55_261 ),
inference(resolution,[],[f3179,f701]) ).
fof(f3711,plain,
( ~ spl55_73
| spl55_301
| ~ spl55_2
| ~ spl55_156 ),
inference(avatar_split_clause,[],[f1684,f1614,f699,f3708,f1067]) ).
fof(f3708,plain,
( spl55_301
<=> sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sK23),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_301])]) ).
fof(f1684,plain,
( sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sK23),sK23)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl55_2
| ~ spl55_156 ),
inference(resolution,[],[f1615,f701]) ).
fof(f3696,plain,
( ~ spl55_17
| spl55_300
| ~ spl55_2
| ~ spl55_256 ),
inference(avatar_split_clause,[],[f3031,f3022,f699,f3694,f774]) ).
fof(f3694,plain,
( spl55_300
<=> ! [X0] :
( aElementOf0(sK23,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xi) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_300])]) ).
fof(f3031,plain,
( ! [X0] :
( aElementOf0(sK23,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) )
| ~ spl55_2
| ~ spl55_256 ),
inference(resolution,[],[f3023,f701]) ).
fof(f3688,plain,
( spl55_299
| ~ spl55_20
| ~ spl55_46 ),
inference(avatar_split_clause,[],[f949,f910,f789,f3685]) ).
fof(f3685,plain,
( spl55_299
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_299])]) ).
fof(f949,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl55_20
| ~ spl55_46 ),
inference(resolution,[],[f911,f791]) ).
fof(f3665,plain,
( spl55_298
| ~ spl55_17
| ~ spl55_47 ),
inference(avatar_split_clause,[],[f956,f914,f774,f3662]) ).
fof(f956,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl55_17
| ~ spl55_47 ),
inference(resolution,[],[f915,f776]) ).
fof(f3660,plain,
( spl55_297
| ~ spl55_19
| ~ spl55_47 ),
inference(avatar_split_clause,[],[f955,f914,f784,f3657]) ).
fof(f3657,plain,
( spl55_297
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_297])]) ).
fof(f955,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl55_19
| ~ spl55_47 ),
inference(resolution,[],[f915,f786]) ).
fof(f3655,plain,
( ~ spl55_295
| ~ spl55_296
| ~ spl55_66
| ~ spl55_225 ),
inference(avatar_split_clause,[],[f3121,f2177,f1015,f3652,f3648]) ).
fof(f3652,plain,
( spl55_296
<=> sdtlseqdt0(sK23,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_296])]) ).
fof(f2177,plain,
( spl55_225
<=> sK23 = szszuzczcdt0(sK43(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_225])]) ).
fof(f3121,plain,
( ~ sdtlseqdt0(sK23,sz00)
| ~ aElementOf0(sK43(sK23),szNzAzT0)
| ~ spl55_66
| ~ spl55_225 ),
inference(superposition,[],[f1016,f2179]) ).
fof(f2179,plain,
( sK23 = szszuzczcdt0(sK43(sK23))
| ~ spl55_225 ),
inference(avatar_component_clause,[],[f2177]) ).
fof(f3646,plain,
( spl55_294
| ~ spl55_16
| ~ spl55_47 ),
inference(avatar_split_clause,[],[f954,f914,f769,f3643]) ).
fof(f3643,plain,
( spl55_294
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_294])]) ).
fof(f954,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl55_16
| ~ spl55_47 ),
inference(resolution,[],[f915,f771]) ).
fof(f3641,plain,
( spl55_293
| ~ spl55_17
| ~ spl55_46 ),
inference(avatar_split_clause,[],[f952,f910,f774,f3638]) ).
fof(f3638,plain,
( spl55_293
<=> sdtlseqdt0(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_293])]) ).
fof(f952,plain,
( sdtlseqdt0(xi,xi)
| ~ spl55_17
| ~ spl55_46 ),
inference(resolution,[],[f911,f776]) ).
fof(f3636,plain,
( spl55_292
| ~ spl55_19
| ~ spl55_46 ),
inference(avatar_split_clause,[],[f951,f910,f784,f3633]) ).
fof(f3633,plain,
( spl55_292
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_292])]) ).
fof(f951,plain,
( sdtlseqdt0(xk,xk)
| ~ spl55_19
| ~ spl55_46 ),
inference(resolution,[],[f911,f786]) ).
fof(f3631,plain,
( spl55_291
| ~ spl55_16
| ~ spl55_46 ),
inference(avatar_split_clause,[],[f950,f910,f769,f3628]) ).
fof(f3628,plain,
( spl55_291
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_291])]) ).
fof(f950,plain,
( sdtlseqdt0(xK,xK)
| ~ spl55_16
| ~ spl55_46 ),
inference(resolution,[],[f911,f771]) ).
fof(f3626,plain,
( spl55_290
| ~ spl55_17
| ~ spl55_45 ),
inference(avatar_split_clause,[],[f947,f906,f774,f3623]) ).
fof(f3623,plain,
( spl55_290
<=> isFinite0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_290])]) ).
fof(f947,plain,
( isFinite0(slbdtrb0(xi))
| ~ spl55_17
| ~ spl55_45 ),
inference(resolution,[],[f907,f776]) ).
fof(f3617,plain,
( ~ spl55_74
| ~ spl55_8
| spl55_289
| spl55_1
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2009,f1919,f694,f3614,f729,f1071]) ).
fof(f1071,plain,
( spl55_74
<=> aElement0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_74])]) ).
fof(f3614,plain,
( spl55_289
<=> xS = sdtmndt0(sdtpldt0(xS,sK23),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_289])]) ).
fof(f694,plain,
( spl55_1
<=> aElementOf0(sK23,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).
fof(f2009,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK23),sK23)
| ~ aSet0(xS)
| ~ aElement0(sK23)
| spl55_1
| ~ spl55_194 ),
inference(resolution,[],[f1920,f696]) ).
fof(f696,plain,
( ~ aElementOf0(sK23,xS)
| spl55_1 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f3612,plain,
spl55_288,
inference(avatar_split_clause,[],[f482,f3610]) ).
fof(f3610,plain,
( spl55_288
<=> ! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| sbrdtbr0(sK32(X0,X1,X2)) != X1
| aElementOf0(sK33(X0,X1,X2),sK32(X0,X1,X2))
| ~ aSet0(sK32(X0,X1,X2))
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_288])]) ).
fof(f482,plain,
! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| sbrdtbr0(sK32(X0,X1,X2)) != X1
| aElementOf0(sK33(X0,X1,X2),sK32(X0,X1,X2))
| ~ aSet0(sK32(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK32(X0,X1,X2),X0)
& ( ( ~ aElementOf0(sK33(X0,X1,X2),X0)
& aElementOf0(sK33(X0,X1,X2),sK32(X0,X1,X2)) )
| ~ aSet0(sK32(X0,X1,X2)) ) ) )
& aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f291,f293,f292]) ).
fof(f292,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP2(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
=> ( sP2(X2,sK32(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK32(X0,X1,X2),X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK32(X0,X1,X2)) )
| ~ aSet0(sK32(X0,X1,X2)) ) ) )
& aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK32(X0,X1,X2)) )
=> ( ~ aElementOf0(sK33(X0,X1,X2),X0)
& aElementOf0(sK33(X0,X1,X2),sK32(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP2(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP2(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP3(X1,X0,X3) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP2(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP3(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f3608,plain,
spl55_287,
inference(avatar_split_clause,[],[f483,f3606]) ).
fof(f3606,plain,
( spl55_287
<=> ! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| sbrdtbr0(sK32(X0,X1,X2)) != X1
| ~ aElementOf0(sK33(X0,X1,X2),X0)
| ~ aSet0(sK32(X0,X1,X2))
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_287])]) ).
fof(f483,plain,
! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| sbrdtbr0(sK32(X0,X1,X2)) != X1
| ~ aElementOf0(sK33(X0,X1,X2),X0)
| ~ aSet0(sK32(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
fof(f3586,plain,
spl55_286,
inference(avatar_split_clause,[],[f624,f3584]) ).
fof(f3584,plain,
( spl55_286
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sK51(X0,X1,X2) = X0
| ~ aElementOf0(sK51(X0,X1,X2),X1)
| ~ aElement0(sK51(X0,X1,X2))
| ~ aElementOf0(sK51(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_286])]) ).
fof(f624,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sK51(X0,X1,X2) = X0
| ~ aElementOf0(sK51(X0,X1,X2),X1)
| ~ aElement0(sK51(X0,X1,X2))
| ~ aElementOf0(sK51(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0,X1,X2] :
( ( sP20(X0,X1,X2)
| ( ( sK51(X0,X1,X2) = X0
| ~ aElementOf0(sK51(X0,X1,X2),X1)
| ~ aElement0(sK51(X0,X1,X2))
| ~ aElementOf0(sK51(X0,X1,X2),X2) )
& ( ( sK51(X0,X1,X2) != X0
& aElementOf0(sK51(X0,X1,X2),X1)
& aElement0(sK51(X0,X1,X2)) )
| aElementOf0(sK51(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) ) )
| ~ sP20(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f368,f369]) ).
fof(f369,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) ) )
=> ( ( sK51(X0,X1,X2) = X0
| ~ aElementOf0(sK51(X0,X1,X2),X1)
| ~ aElement0(sK51(X0,X1,X2))
| ~ aElementOf0(sK51(X0,X1,X2),X2) )
& ( ( sK51(X0,X1,X2) != X0
& aElementOf0(sK51(X0,X1,X2),X1)
& aElement0(sK51(X0,X1,X2)) )
| aElementOf0(sK51(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0,X1,X2] :
( ( sP20(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) ) )
| ~ sP20(X0,X1,X2) ) ),
inference(rectify,[],[f367]) ).
fof(f367,plain,
! [X1,X0,X2] :
( ( sP20(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) ) )
| ~ sP20(X1,X0,X2) ) ),
inference(flattening,[],[f366]) ).
fof(f366,plain,
! [X1,X0,X2] :
( ( sP20(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) ) )
| ~ sP20(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X1,X0,X2] :
( sP20(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f3582,plain,
spl55_285,
inference(avatar_split_clause,[],[f603,f3580]) ).
fof(f3580,plain,
( spl55_285
<=> ! [X2,X0,X1] :
( sP17(X0,X1,X2)
| sdtlpdtrp0(X1,sK49(X0,X1,X2)) != X0
| ~ aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK49(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_285])]) ).
fof(f603,plain,
! [X2,X0,X1] :
( sP17(X0,X1,X2)
| sdtlpdtrp0(X1,sK49(X0,X1,X2)) != X0
| ~ aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK49(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1,X2] :
( ( sP17(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK49(X0,X1,X2)) != X0
| ~ aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK49(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK49(X0,X1,X2)) = X0
& aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK49(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP17(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f356,f357]) ).
fof(f357,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X1,sK49(X0,X1,X2)) != X0
| ~ aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK49(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK49(X0,X1,X2)) = X0
& aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK49(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f356,plain,
! [X0,X1,X2] :
( ( sP17(X0,X1,X2)
| ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP17(X0,X1,X2) ) ),
inference(rectify,[],[f355]) ).
fof(f355,plain,
! [X1,X0,X2] :
( ( sP17(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP17(X1,X0,X2) ) ),
inference(flattening,[],[f354]) ).
fof(f354,plain,
! [X1,X0,X2] :
( ( sP17(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP17(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X1,X0,X2] :
( sP17(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f3541,plain,
( ~ spl55_142
| ~ spl55_57
| spl55_268 ),
inference(avatar_split_clause,[],[f3472,f3268,f976,f1499]) ).
fof(f976,plain,
( spl55_57
<=> ! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_57])]) ).
fof(f3268,plain,
( spl55_268
<=> aSet0(sdtlpdtrp0(xN,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_268])]) ).
fof(f3472,plain,
( ~ aElementOf0(sK23,szNzAzT0)
| ~ spl55_57
| spl55_268 ),
inference(resolution,[],[f3269,f977]) ).
fof(f977,plain,
( ! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl55_57 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f3269,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK23))
| spl55_268 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f3540,plain,
spl55_284,
inference(avatar_split_clause,[],[f644,f3538]) ).
fof(f3538,plain,
( spl55_284
<=> ! [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,[spl55_284])]) ).
fof(f644,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,[],[f200]) ).
fof(f200,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,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f3536,plain,
spl55_283,
inference(avatar_split_clause,[],[f642,f3534]) ).
fof(f3534,plain,
( spl55_283
<=> ! [X2,X0,X1] :
( sP21(X0,X1,X2)
| sbrdtbr0(sK54(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK54(X0,X1,X2),X1)
| ~ aElementOf0(sK54(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_283])]) ).
fof(f642,plain,
! [X2,X0,X1] :
( sP21(X0,X1,X2)
| sbrdtbr0(sK54(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK54(X0,X1,X2),X1)
| ~ aElementOf0(sK54(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f382,plain,
! [X0,X1,X2] :
( ( sP21(X0,X1,X2)
| ( ( sbrdtbr0(sK54(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK54(X0,X1,X2),X1)
| ~ aElementOf0(sK54(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK54(X0,X1,X2)) = X0
& aSubsetOf0(sK54(X0,X1,X2),X1) )
| aElementOf0(sK54(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) )
| ~ sP21(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f380,f381]) ).
fof(f381,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK54(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK54(X0,X1,X2),X1)
| ~ aElementOf0(sK54(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK54(X0,X1,X2)) = X0
& aSubsetOf0(sK54(X0,X1,X2),X1) )
| aElementOf0(sK54(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f380,plain,
! [X0,X1,X2] :
( ( sP21(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) )
| ~ sP21(X0,X1,X2) ) ),
inference(rectify,[],[f379]) ).
fof(f379,plain,
! [X1,X0,X2] :
( ( sP21(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) )
| ~ sP21(X1,X0,X2) ) ),
inference(flattening,[],[f378]) ).
fof(f378,plain,
! [X1,X0,X2] :
( ( sP21(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) )
| ~ sP21(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X1,X0,X2] :
( sP21(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f3532,plain,
spl55_282,
inference(avatar_split_clause,[],[f573,f3530]) ).
fof(f3530,plain,
( spl55_282
<=> ! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_282])]) ).
fof(f573,plain,
! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( sz00 != X0
& aSet0(X2)
& aSet0(X1) )
=> ( ( slcrc0 != slbdtsldtrb0(X1,X0)
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelSub) ).
fof(f3528,plain,
spl55_281,
inference(avatar_split_clause,[],[f484,f3526]) ).
fof(f3526,plain,
( spl55_281
<=> ! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| sbrdtbr0(sK32(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK32(X0,X1,X2),X0)
| ~ sP3(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_281])]) ).
fof(f484,plain,
! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| sbrdtbr0(sK32(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK32(X0,X1,X2),X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
fof(f3524,plain,
spl55_280,
inference(avatar_split_clause,[],[f420,f3522]) ).
fof(f3522,plain,
( spl55_280
<=> ! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_280])]) ).
fof(f420,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP0(X0) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3519,plain,
spl55_279,
inference(avatar_split_clause,[],[f462,f3517]) ).
fof(f3517,plain,
( spl55_279
<=> ! [X2,X0,X1] :
( sP7(X1,X2,sK27(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP8(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_279])]) ).
fof(f462,plain,
! [X2,X0,X1] :
( sP7(X1,X2,sK27(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP8(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ! [X2] :
( ( sP7(X1,X2,sK27(X0,X1,X2),X0)
& aElementOf0(sK27(X0,X1,X2),xT) )
| ~ iLess0(X1,xK)
| sP8(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP3(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP9(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f269,f270]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP7(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
=> ( sP7(X1,X2,sK27(X0,X1,X2),X0)
& aElementOf0(sK27(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f269,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( sP7(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
| ~ iLess0(X1,xK)
| sP8(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP3(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP9(X0,X1) ),
inference(rectify,[],[f268]) ).
fof(f268,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP7(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP8(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP3(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP9(X1,X0) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP7(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP8(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP3(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP9(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f3476,plain,
spl55_278,
inference(avatar_split_clause,[],[f525,f3474]) ).
fof(f3474,plain,
( spl55_278
<=> ! [X4,X0,X2,X1] :
( sP13(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK37(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK37(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_278])]) ).
fof(f525,plain,
! [X2,X0,X1,X4] :
( sP13(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK37(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK37(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0,X1,X2] :
( ( sP13(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK37(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK37(X0,X1,X2),X2) )
& ( ( sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
& aElementOf0(sK38(X0,X1,X2),X1) )
| aElementOf0(sK37(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK39(X0,X1,X6)) = X6
& aElementOf0(sK39(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP13(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39])],[f314,f317,f316,f315]) ).
fof(f315,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK37(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK37(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK37(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK37(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK37(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
& aElementOf0(sK38(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK39(X0,X1,X6)) = X6
& aElementOf0(sK39(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f314,plain,
! [X0,X1,X2] :
( ( sP13(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP13(X0,X1,X2) ) ),
inference(rectify,[],[f313]) ).
fof(f313,plain,
! [X0,X1,X2] :
( ( sP13(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP13(X0,X1,X2) ) ),
inference(flattening,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ( sP13(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP13(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( sP13(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f3471,plain,
spl55_277,
inference(avatar_split_clause,[],[f524,f3469]) ).
fof(f524,plain,
! [X2,X0,X1] :
( sP13(X0,X1,X2)
| sK37(X0,X1,X2) = sdtlpdtrp0(X0,sK38(X0,X1,X2))
| aElementOf0(sK37(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f3455,plain,
spl55_276,
inference(avatar_split_clause,[],[f449,f3453]) ).
fof(f3453,plain,
( spl55_276
<=> ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_276])]) ).
fof(f449,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(flattening,[],[f266]) ).
fof(f266,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989_02) ).
fof(f3372,plain,
spl55_275,
inference(avatar_split_clause,[],[f666,f3370]) ).
fof(f666,plain,
! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK36(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK36(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f515]) ).
fof(f515,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| sdtlpdtrp0(X0,sK36(X0,X1,X2)) != sdtlpdtrp0(X1,sK36(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0,X1,X2] :
( ( sP11(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK36(X0,X1,X2)) != sdtlpdtrp0(X1,sK36(X0,X1,X2))
& aElementOf0(sK36(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP11(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f307,f308]) ).
fof(f308,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK36(X0,X1,X2)) != sdtlpdtrp0(X1,sK36(X0,X1,X2))
& aElementOf0(sK36(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0,X1,X2] :
( ( sP11(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP11(X0,X1,X2) ) ),
inference(rectify,[],[f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ( sP11(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP11(X2,X0,X1) ) ),
inference(flattening,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( ( sP11(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP11(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( sP11(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f3368,plain,
spl55_274,
inference(avatar_split_clause,[],[f611,f3366]) ).
fof(f611,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK50(X0,X1,X2) = X0
| aElementOf0(sK50(X0,X1,X2),X1)
| aElementOf0(sK50(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0,X1,X2] :
( ( sP19(X0,X1,X2)
| ( ( ( sK50(X0,X1,X2) != X0
& ~ aElementOf0(sK50(X0,X1,X2),X1) )
| ~ aElement0(sK50(X0,X1,X2))
| ~ aElementOf0(sK50(X0,X1,X2),X2) )
& ( ( ( sK50(X0,X1,X2) = X0
| aElementOf0(sK50(X0,X1,X2),X1) )
& aElement0(sK50(X0,X1,X2)) )
| aElementOf0(sK50(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) ) )
| ~ sP19(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f361,f362]) ).
fof(f362,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) ) )
=> ( ( ( sK50(X0,X1,X2) != X0
& ~ aElementOf0(sK50(X0,X1,X2),X1) )
| ~ aElement0(sK50(X0,X1,X2))
| ~ aElementOf0(sK50(X0,X1,X2),X2) )
& ( ( ( sK50(X0,X1,X2) = X0
| aElementOf0(sK50(X0,X1,X2),X1) )
& aElement0(sK50(X0,X1,X2)) )
| aElementOf0(sK50(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f361,plain,
! [X0,X1,X2] :
( ( sP19(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) ) )
| ~ sP19(X0,X1,X2) ) ),
inference(rectify,[],[f360]) ).
fof(f360,plain,
! [X1,X0,X2] :
( ( sP19(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) ) )
| ~ sP19(X1,X0,X2) ) ),
inference(flattening,[],[f359]) ).
fof(f359,plain,
! [X1,X0,X2] :
( ( sP19(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) ) )
| ~ sP19(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X1,X0,X2] :
( sP19(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f3364,plain,
spl55_273,
inference(avatar_split_clause,[],[f461,f3362]) ).
fof(f3362,plain,
( spl55_273
<=> ! [X2,X0,X1] :
( sP7(X1,X2,sK27(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_273])]) ).
fof(f461,plain,
! [X2,X0,X1] :
( sP7(X1,X2,sK27(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f3360,plain,
spl55_272,
inference(avatar_split_clause,[],[f460,f3358]) ).
fof(f460,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f3330,plain,
spl55_271,
inference(avatar_split_clause,[],[f612,f3328]) ).
fof(f3328,plain,
( spl55_271
<=> ! [X2,X0,X1] :
( sP19(X0,X1,X2)
| ~ aElementOf0(sK50(X0,X1,X2),X1)
| ~ aElement0(sK50(X0,X1,X2))
| ~ aElementOf0(sK50(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_271])]) ).
fof(f612,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| ~ aElementOf0(sK50(X0,X1,X2),X1)
| ~ aElement0(sK50(X0,X1,X2))
| ~ aElementOf0(sK50(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f3326,plain,
spl55_270,
inference(avatar_split_clause,[],[f571,f3324]) ).
fof(f571,plain,
! [X0,X1] :
( sP15(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0,X1] :
( ( sP15(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
& aElementOf0(sK44(X0,X1),szNzAzT0) )
| aElementOf0(sK44(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) )
| ~ sP15(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f333,f334]) ).
fof(f334,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(sK44(X0,X1)),X0)
| ~ aElementOf0(sK44(X0,X1),szNzAzT0)
| ~ aElementOf0(sK44(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
& aElementOf0(sK44(X0,X1),szNzAzT0) )
| aElementOf0(sK44(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0,X1] :
( ( sP15(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) )
| ~ sP15(X0,X1) ) ),
inference(rectify,[],[f332]) ).
fof(f332,plain,
! [X0,X1] :
( ( sP15(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) )
| ~ sP15(X0,X1) ) ),
inference(flattening,[],[f331]) ).
fof(f331,plain,
! [X0,X1] :
( ( sP15(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) )
| ~ sP15(X0,X1) ) ),
inference(nnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( sP15(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f3322,plain,
spl55_269,
inference(avatar_split_clause,[],[f532,f3320]) ).
fof(f532,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
& sK40(X0) != sK41(X0)
& aElementOf0(sK41(X0),szDzozmdt0(X0))
& aElementOf0(sK40(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f126,f319]) ).
fof(f319,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK41(X0)) = sdtlpdtrp0(X0,sK40(X0))
& sK40(X0) != sK41(X0)
& aElementOf0(sK41(X0),szDzozmdt0(X0))
& aElementOf0(sK40(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f3271,plain,
( ~ spl55_267
| spl55_268
| ~ spl55_59
| ~ spl55_225 ),
inference(avatar_split_clause,[],[f3118,f2177,f987,f3268,f3264]) ).
fof(f3264,plain,
( spl55_267
<=> sP1(sK43(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_267])]) ).
fof(f3118,plain,
( aSet0(sdtlpdtrp0(xN,sK23))
| ~ sP1(sK43(sK23))
| ~ spl55_59
| ~ spl55_225 ),
inference(superposition,[],[f988,f2179]) ).
fof(f3222,plain,
spl55_266,
inference(avatar_split_clause,[],[f633,f3220]) ).
fof(f633,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK53(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f376]) ).
fof(f376,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK53(X0,X1,X2),X1))
& isFinite0(sK53(X0,X1,X2))
& aSubsetOf0(sK53(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f196,f375]) ).
fof(f375,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK53(X0,X1,X2),X1))
& isFinite0(sK53(X0,X1,X2))
& aSubsetOf0(sK53(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( ( isFinite0(X2)
& aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
=> ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(f3218,plain,
spl55_265,
inference(avatar_split_clause,[],[f602,f3216]) ).
fof(f602,plain,
! [X2,X0,X1] :
( sP17(X0,X1,X2)
| sdtlpdtrp0(X1,sK49(X0,X1,X2)) = X0
| aElementOf0(sK49(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f3214,plain,
spl55_264,
inference(avatar_split_clause,[],[f584,f3212]) ).
fof(f3212,plain,
( spl55_264
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK45(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_264])]) ).
fof(f584,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK45(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK45(X0,X1),X1)
& aElementOf0(sK45(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,[sK45])],[f338,f339]) ).
fof(f339,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK45(X0,X1),X1)
& aElementOf0(sK45(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f338,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,[],[f337]) ).
fof(f337,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,[],[f336]) ).
fof(f336,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,[],[f175]) ).
fof(f175,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,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f3210,plain,
spl55_263,
inference(avatar_split_clause,[],[f583,f3208]) ).
fof(f583,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK45(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f3206,plain,
spl55_262,
inference(avatar_split_clause,[],[f459,f3204]) ).
fof(f459,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f3180,plain,
spl55_261,
inference(avatar_split_clause,[],[f496,f3178]) ).
fof(f496,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& sP10(X0,X1)
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f115,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f115,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f3060,plain,
spl55_260,
inference(avatar_split_clause,[],[f641,f3058]) ).
fof(f641,plain,
! [X2,X0,X1] :
( sP21(X0,X1,X2)
| sbrdtbr0(sK54(X0,X1,X2)) = X0
| aElementOf0(sK54(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f3056,plain,
spl55_259,
inference(avatar_split_clause,[],[f601,f3054]) ).
fof(f601,plain,
! [X2,X0,X1] :
( sP17(X0,X1,X2)
| aElementOf0(sK49(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK49(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f3052,plain,
spl55_258,
inference(avatar_split_clause,[],[f494,f3050]) ).
fof(f494,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK35(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1] :
( ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK35(X0,X1))
& aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f300,f301]) ).
fof(f301,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
=> ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK35(X0,X1))
& aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ),
inference(rectify,[],[f299]) ).
fof(f299,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ),
inference(nnf_transformation,[],[f229]) ).
fof(f3048,plain,
spl55_257,
inference(avatar_split_clause,[],[f481,f3046]) ).
fof(f481,plain,
! [X2,X0,X1] :
( sP2(X2,sK32(X0,X1,X2),X1,X0)
| aElementOf0(sK32(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
fof(f3024,plain,
spl55_256,
inference(avatar_split_clause,[],[f499,f3022]) ).
fof(f499,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f2787,plain,
spl55_255,
inference(avatar_split_clause,[],[f663,f2785]) ).
fof(f663,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK29(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f472]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| aElementOf0(sK29(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ( ~ aElementOf0(sK29(X3,X4),X3)
& aElementOf0(sK29(X3,X4),X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP6(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f279,f280]) ).
fof(f280,plain,
! [X3,X4] :
( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK29(X3,X4),X3)
& aElementOf0(sK29(X3,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP6(X0,X1,X2,X3) ),
inference(rectify,[],[f278]) ).
fof(f278,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP6(X10,X3,X0,X11) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP6(X10,X3,X0,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2783,plain,
spl55_254,
inference(avatar_split_clause,[],[f662,f2781]) ).
fof(f662,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK29(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aElementOf0(sK29(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
fof(f2779,plain,
spl55_253,
inference(avatar_split_clause,[],[f656,f2777]) ).
fof(f656,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,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f2775,plain,
spl55_252,
inference(avatar_split_clause,[],[f652,f2773]) ).
fof(f652,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f386]) ).
fof(f386,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,[],[f385]) ).
fof(f385,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,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f2771,plain,
spl55_251,
inference(avatar_split_clause,[],[f640,f2769]) ).
fof(f640,plain,
! [X2,X0,X1] :
( sP21(X0,X1,X2)
| aSubsetOf0(sK54(X0,X1,X2),X1)
| aElementOf0(sK54(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f2767,plain,
spl55_250,
inference(avatar_split_clause,[],[f631,f2765]) ).
fof(f631,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK53(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f376]) ).
fof(f2763,plain,
spl55_249,
inference(avatar_split_clause,[],[f590,f2761]) ).
fof(f2761,plain,
( spl55_249
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK47(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_249])]) ).
fof(f590,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK47(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK47(X0,X1))
& aElementOf0(sK47(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,[sK47])],[f345,f346]) ).
fof(f346,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK47(X0,X1))
& aElementOf0(sK47(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f345,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,[],[f344]) ).
fof(f344,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,[],[f343]) ).
fof(f343,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,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f2759,plain,
spl55_248,
inference(avatar_split_clause,[],[f589,f2757]) ).
fof(f589,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK47(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f2755,plain,
spl55_247,
inference(avatar_split_clause,[],[f523,f2753]) ).
fof(f523,plain,
! [X2,X0,X1] :
( sP13(X0,X1,X2)
| aElementOf0(sK38(X0,X1,X2),X1)
| aElementOf0(sK37(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f2751,plain,
spl55_246,
inference(avatar_split_clause,[],[f493,f2749]) ).
fof(f493,plain,
! [X0,X1] :
( aElementOf0(sK35(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f2747,plain,
spl55_245,
inference(avatar_split_clause,[],[f414,f2745]) ).
fof(f414,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP0(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP1(X0) ),
inference(rectify,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP0(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP0(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2739,plain,
spl55_244,
inference(avatar_split_clause,[],[f498,f2737]) ).
fof(f498,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f2648,plain,
( spl55_243
| ~ spl55_200
| ~ spl55_230 ),
inference(avatar_split_clause,[],[f2570,f2419,f1943,f2645]) ).
fof(f1943,plain,
( spl55_200
<=> sK23 = sbrdtbr0(slbdtrb0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_200])]) ).
fof(f2419,plain,
( spl55_230
<=> slcrc0 = slbdtrb0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_230])]) ).
fof(f2570,plain,
( sK23 = sbrdtbr0(slcrc0)
| ~ spl55_200
| ~ spl55_230 ),
inference(superposition,[],[f1945,f2421]) ).
fof(f2421,plain,
( slcrc0 = slbdtrb0(sK23)
| ~ spl55_230 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f1945,plain,
( sK23 = sbrdtbr0(slbdtrb0(sK23))
| ~ spl55_200 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f2643,plain,
spl55_242,
inference(avatar_split_clause,[],[f632,f2641]) ).
fof(f632,plain,
! [X2,X0,X1] :
( isFinite0(sK53(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f376]) ).
fof(f2639,plain,
spl55_241,
inference(avatar_split_clause,[],[f630,f2637]) ).
fof(f630,plain,
! [X0,X1] :
( sbrdtbr0(sK52(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0,X1] :
( ( sbrdtbr0(sK52(X0,X1)) = X1
& aSubsetOf0(sK52(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f194,f373]) ).
fof(f373,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK52(X0,X1)) = X1
& aSubsetOf0(sK52(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f2635,plain,
spl55_240,
inference(avatar_split_clause,[],[f575,f2633]) ).
fof(f575,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f2631,plain,
spl55_239,
inference(avatar_split_clause,[],[f531,f2629]) ).
fof(f2629,plain,
( spl55_239
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK40(X0) != sK41(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_239])]) ).
fof(f531,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK40(X0) != sK41(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2627,plain,
spl55_238,
inference(avatar_split_clause,[],[f530,f2625]) ).
fof(f530,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK41(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2623,plain,
spl55_237,
inference(avatar_split_clause,[],[f529,f2621]) ).
fof(f529,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK40(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f2619,plain,
spl55_236,
inference(avatar_split_clause,[],[f418,f2617]) ).
fof(f418,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f2580,plain,
spl55_235,
inference(avatar_split_clause,[],[f495,f2578]) ).
fof(f495,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f2569,plain,
spl55_234,
inference(avatar_split_clause,[],[f439,f2567]) ).
fof(f2567,plain,
( spl55_234
<=> ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_234])]) ).
fof(f439,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& ~ aElementOf0(X0,xQ) )
| ~ aElement0(X0) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(flattening,[],[f264]) ).
fof(f264,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& ~ aElementOf0(X0,xQ) )
| ~ aElement0(X0) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4007) ).
fof(f2447,plain,
spl55_233,
inference(avatar_split_clause,[],[f629,f2445]) ).
fof(f629,plain,
! [X0,X1] :
( aSubsetOf0(sK52(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f2443,plain,
spl55_232,
inference(avatar_split_clause,[],[f622,f2441]) ).
fof(f622,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aElementOf0(sK51(X0,X1,X2),X1)
| aElementOf0(sK51(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f2439,plain,
spl55_231,
inference(avatar_split_clause,[],[f570,f2437]) ).
fof(f570,plain,
! [X0,X1] :
( sP15(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK44(X0,X1)),X0)
| aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f2422,plain,
( spl55_230
| ~ spl55_28
| ~ spl55_226 ),
inference(avatar_split_clause,[],[f2354,f2181,f825,f2419]) ).
fof(f2354,plain,
( slcrc0 = slbdtrb0(sK23)
| ~ spl55_28
| ~ spl55_226 ),
inference(superposition,[],[f827,f2183]) ).
fof(f2417,plain,
( ~ spl55_228
| spl55_229 ),
inference(avatar_split_clause,[],[f659,f2414,f2410]) ).
fof(f2414,plain,
( spl55_229
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_229])]) ).
fof(f659,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
inference(equality_resolution,[],[f441]) ).
fof(f441,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f2408,plain,
spl55_227,
inference(avatar_split_clause,[],[f500,f2406]) ).
fof(f500,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f2184,plain,
( spl55_225
| spl55_226
| ~ spl55_141
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1545,f1499,f1495,f2181,f2177]) ).
fof(f1545,plain,
( sz00 = sK23
| sK23 = szszuzczcdt0(sK43(sK23))
| ~ spl55_141
| ~ spl55_142 ),
inference(resolution,[],[f1501,f1496]) ).
fof(f2164,plain,
spl55_224,
inference(avatar_split_clause,[],[f691,f2162]) ).
fof(f2162,plain,
( spl55_224
<=> ! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK50(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_224])]) ).
fof(f691,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK50(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f613]) ).
fof(f613,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK50(X0,X1,X2) != X0
| ~ aElement0(sK50(X0,X1,X2))
| ~ aElementOf0(sK50(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f2160,plain,
spl55_223,
inference(avatar_split_clause,[],[f673,f2158]) ).
fof(f673,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f582]) ).
fof(f582,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f2156,plain,
spl55_222,
inference(avatar_split_clause,[],[f667,f2154]) ).
fof(f667,plain,
! [X0,X1] :
( sP11(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK36(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f514]) ).
fof(f514,plain,
! [X2,X0,X1] :
( sP11(X0,X1,X2)
| aElementOf0(sK36(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f2152,plain,
spl55_221,
inference(avatar_split_clause,[],[f658,f2150]) ).
fof(f658,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(equality_resolution,[],[f419]) ).
fof(f419,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f2148,plain,
spl55_220,
inference(avatar_split_clause,[],[f655,f2146]) ).
fof(f655,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f2144,plain,
spl55_219,
inference(avatar_split_clause,[],[f653,f2142]) ).
fof(f653,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f386]) ).
fof(f2140,plain,
spl55_218,
inference(avatar_split_clause,[],[f647,f2138]) ).
fof(f647,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f2136,plain,
spl55_217,
inference(avatar_split_clause,[],[f627,f2134]) ).
fof(f2134,plain,
( spl55_217
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP20(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_217])]) ).
fof(f627,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP20(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP20(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP20(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP20(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP20(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP20(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f190,f245]) ).
fof(f190,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,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f2132,plain,
spl55_216,
inference(avatar_split_clause,[],[f621,f2130]) ).
fof(f621,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aElement0(sK51(X0,X1,X2))
| aElementOf0(sK51(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f2128,plain,
spl55_215,
inference(avatar_split_clause,[],[f620,f2126]) ).
fof(f620,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f2124,plain,
spl55_214,
inference(avatar_split_clause,[],[f616,f2122]) ).
fof(f2122,plain,
( spl55_214
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_214])]) ).
fof(f616,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP19(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f364]) ).
fof(f364,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP19(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP19(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f188,f243]) ).
fof(f188,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,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f2120,plain,
spl55_213,
inference(avatar_split_clause,[],[f610,f2118]) ).
fof(f610,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| aElement0(sK50(X0,X1,X2))
| aElementOf0(sK50(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f2116,plain,
spl55_212,
inference(avatar_split_clause,[],[f569,f2114]) ).
fof(f569,plain,
! [X0,X1] :
( sP15(X0,X1)
| aElementOf0(sK44(X0,X1),szNzAzT0)
| aElementOf0(sK44(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f2112,plain,
spl55_211,
inference(avatar_split_clause,[],[f546,f2110]) ).
fof(f546,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f2108,plain,
spl55_210,
inference(avatar_split_clause,[],[f521,f2106]) ).
fof(f521,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK39(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP13(X0,X1,X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f2104,plain,
spl55_209,
inference(avatar_split_clause,[],[f508,f2102]) ).
fof(f2102,plain,
( spl55_209
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_209])]) ).
fof(f508,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& isCountable0(szDzozmdt0(X0)) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f2100,plain,
spl55_208,
inference(avatar_split_clause,[],[f479,f2098]) ).
fof(f479,plain,
! [X0,X1] :
( sdtlpdtrp0(X0,sK31(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ( sdtlpdtrp0(X0,sK31(X0,X1)) = X1
& aElementOf0(sK31(X0,X1),szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f287,f288]) ).
fof(f288,plain,
! [X0,X1] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK31(X0,X1)) = X1
& aElementOf0(sK31(X0,X1),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f286]) ).
fof(f286,plain,
! [X3] :
( ! [X4] :
( ( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ! [X5] :
( sdtlpdtrp0(X3,X5) != X4
| ~ aElementOf0(X5,szDzozmdt0(X3)) ) )
& ( ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) )
| ~ aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3))) ) )
| ~ sP4(X3) ),
inference(nnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X3] :
( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
| ~ sP4(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2096,plain,
spl55_207,
inference(avatar_split_clause,[],[f475,f2094]) ).
fof(f475,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
fof(f2081,plain,
spl55_206,
inference(avatar_split_clause,[],[f468,f2079]) ).
fof(f2079,plain,
( spl55_206
<=> ! [X3,X0,X5,X2,X1] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_206])]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1,X2,X3] :
( ( sP6(X2,X1,X0,sK28(X0,X1,X2,X3))
& isCountable0(sK28(X0,X1,X2,X3))
& aSubsetOf0(sK28(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK28(X0,X1,X2,X3)) )
& aSet0(sK28(X0,X1,X2,X3)) )
| ~ sP7(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f275,f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP6(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
=> ( sP6(X2,X1,X0,sK28(X0,X1,X2,X3))
& isCountable0(sK28(X0,X1,X2,X3))
& aSubsetOf0(sK28(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK28(X0,X1,X2,X3)) )
& aSet0(sK28(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP6(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ sP7(X0,X1,X2,X3) ),
inference(rectify,[],[f274]) ).
fof(f274,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP6(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP7(X0,X3,X10,X1) ),
inference(nnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP6(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP7(X0,X3,X10,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2077,plain,
spl55_205,
inference(avatar_split_clause,[],[f415,f2075]) ).
fof(f2075,plain,
( spl55_205
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_205])]) ).
fof(f415,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f2067,plain,
spl55_204,
inference(avatar_split_clause,[],[f447,f2065]) ).
fof(f447,plain,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f267]) ).
fof(f2023,plain,
( spl55_203
| ~ spl55_84
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1544,f1499,f1116,f2021]) ).
fof(f2021,plain,
( spl55_203
<=> ! [X0] :
( sP22(X0,sK23)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_203])]) ).
fof(f1544,plain,
( ! [X0] :
( sP22(X0,sK23)
| ~ aSet0(X0) )
| ~ spl55_84
| ~ spl55_142 ),
inference(resolution,[],[f1501,f1117]) ).
fof(f1954,plain,
spl55_202,
inference(avatar_split_clause,[],[f664,f1952]) ).
fof(f664,plain,
! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP4(X0) ),
inference(equality_resolution,[],[f480]) ).
fof(f480,plain,
! [X2,X0,X1] :
( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1950,plain,
spl55_201,
inference(avatar_split_clause,[],[f661,f1948]) ).
fof(f661,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f474]) ).
fof(f474,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aSubsetOf0(X4,X3)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
fof(f1946,plain,
( spl55_200
| ~ spl55_83
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1543,f1499,f1112,f1943]) ).
fof(f1543,plain,
( sK23 = sbrdtbr0(slbdtrb0(sK23))
| ~ spl55_83
| ~ spl55_142 ),
inference(resolution,[],[f1501,f1113]) ).
fof(f1941,plain,
spl55_199,
inference(avatar_split_clause,[],[f651,f1939]) ).
fof(f651,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f384]) ).
fof(f384,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,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f1937,plain,
spl55_198,
inference(avatar_split_clause,[],[f650,f1935]) ).
fof(f650,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f384]) ).
fof(f1933,plain,
spl55_197,
inference(avatar_split_clause,[],[f649,f1931]) ).
fof(f649,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,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,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f1929,plain,
spl55_196,
inference(avatar_split_clause,[],[f648,f1927]) ).
fof(f648,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f1925,plain,
spl55_195,
inference(avatar_split_clause,[],[f646,f1923]) ).
fof(f646,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f1921,plain,
spl55_194,
inference(avatar_split_clause,[],[f605,f1919]) ).
fof(f605,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1917,plain,
spl55_193,
inference(avatar_split_clause,[],[f580,f1915]) ).
fof(f580,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f1913,plain,
spl55_192,
inference(avatar_split_clause,[],[f528,f1911]) ).
fof(f528,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f1909,plain,
spl55_191,
inference(avatar_split_clause,[],[f513,f1907]) ).
fof(f513,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1905,plain,
spl55_190,
inference(avatar_split_clause,[],[f478,f1903]) ).
fof(f478,plain,
! [X0,X1] :
( aElementOf0(sK31(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f1901,plain,
spl55_189,
inference(avatar_split_clause,[],[f471,f1899]) ).
fof(f471,plain,
! [X2,X3,X0,X1] :
( sP6(X2,X1,X0,sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
fof(f1897,plain,
spl55_188,
inference(avatar_split_clause,[],[f417,f1895]) ).
fof(f417,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1869,plain,
spl55_187,
inference(avatar_split_clause,[],[f491,f1867]) ).
fof(f1867,plain,
( spl55_187
<=> ! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK34(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_187])]) ).
fof(f491,plain,
! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK34(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0] :
( ! [X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ( ~ aElementOf0(sK34(X1),szNzAzT0)
& aElementOf0(sK34(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f228,f297]) ).
fof(f297,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK34(X1),szNzAzT0)
& aElementOf0(sK34(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f113,f227,f226,f225,f224,f223,f222,f221,f220]) ).
fof(f220,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP2(X3,X7,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f223,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP5(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f226,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP5(X3)
& sP4(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP8(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X3] :
( ( ( ( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
=> ( aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ! [X6] :
( aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3)))
=> aElementOf0(X6,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X3)
| ! [X7] :
( ( ( sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,X1) )
& aSet0(X7) )
=> aElementOf0(X7,szDzozmdt0(X3)) )
& ( aElementOf0(X7,szDzozmdt0(X3))
=> ( sbrdtbr0(X7) = X0
& ( aSubsetOf0(X7,X1)
| ( ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,X1) )
& aSet0(X7) ) ) ) ) ) )
& aFunction0(X3) )
=> ( iLess0(X0,xK)
=> ? [X10] :
( ? [X11] :
( ! [X12] :
( ( aElementOf0(X12,slbdtsldtrb0(X11,X0))
| ( sbrdtbr0(X12) = X0
& ( aSubsetOf0(X12,X11)
| ( ! [X13] :
( aElementOf0(X13,X12)
=> aElementOf0(X13,X11) )
& aSet0(X12) ) ) ) )
=> sdtlpdtrp0(X3,X12) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X11)
=> aElementOf0(X14,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
<=> ? [X4] :
( sdtlpdtrp0(X2,X4) = X3
& aElementOf0(X4,szDzozmdt0(X2)) ) )
& aSet0(sdtlcdtrc0(X2,szDzozmdt0(X2))) )
=> ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
=> aElementOf0(X3,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
| ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) )
=> aElementOf0(X3,szDzozmdt0(X2)) )
& ( aElementOf0(X3,szDzozmdt0(X2))
=> ( sbrdtbr0(X3) = X0
& ( aSubsetOf0(X3,X1)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) ) ) ) ) ) )
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X4,X0))
| ( sbrdtbr0(X5) = X0
& ( aSubsetOf0(X5,X4)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X4) )
& aSet0(X5) ) ) ) )
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1)
& ! [X5] :
( aElementOf0(X5,X4)
=> aElementOf0(X5,X1) )
& aSet0(X4) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f1865,plain,
spl55_186,
inference(avatar_split_clause,[],[f490,f1863]) ).
fof(f490,plain,
! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK34(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f1861,plain,
spl55_185,
inference(avatar_split_clause,[],[f426,f1859]) ).
fof(f426,plain,
! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK26(X0),szNzAzT0)
& aElementOf0(sK26(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f219,f262]) ).
fof(f262,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK26(X0),szNzAzT0)
& aElementOf0(sK26(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
( ! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f107,f218,f217]) ).
fof(f107,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f1857,plain,
spl55_184,
inference(avatar_split_clause,[],[f400,f1855]) ).
fof(f1855,plain,
( spl55_184
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK25(X4),xS)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_184])]) ).
fof(f400,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK25(X4),xS)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK24(X1)) = X1
& aElementOf0(sK24(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK25(X4),xS)
& aElementOf0(sK25(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f253,f255,f254]) ).
fof(f254,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK24(X1)) = X1
& aElementOf0(sK24(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK25(X4),xS)
& aElementOf0(sK25(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f1853,plain,
spl55_183,
inference(avatar_split_clause,[],[f399,f1851]) ).
fof(f1851,plain,
( spl55_183
<=> ! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK25(X4),X4)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_183])]) ).
fof(f399,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK25(X4),X4)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1826,plain,
spl55_182,
inference(avatar_split_clause,[],[f692,f1824]) ).
fof(f1824,plain,
( spl55_182
<=> ! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sK51(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_182])]) ).
fof(f692,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sK51(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f623]) ).
fof(f623,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sK51(X0,X1,X2) != X0
| aElementOf0(sK51(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f1822,plain,
spl55_181,
inference(avatar_split_clause,[],[f680,f1820]) ).
fof(f680,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP17(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f600]) ).
fof(f600,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1818,plain,
spl55_180,
inference(avatar_split_clause,[],[f675,f1816]) ).
fof(f1816,plain,
( spl55_180
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_180])]) ).
fof(f675,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f588]) ).
fof(f588,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f1814,plain,
spl55_179,
inference(avatar_split_clause,[],[f645,f1812]) ).
fof(f645,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1810,plain,
spl55_178,
inference(avatar_split_clause,[],[f628,f1808]) ).
fof(f628,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f1806,plain,
spl55_177,
inference(avatar_split_clause,[],[f607,f1804]) ).
fof(f607,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f1802,plain,
spl55_176,
inference(avatar_split_clause,[],[f568,f1800]) ).
fof(f568,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f1798,plain,
spl55_175,
inference(avatar_split_clause,[],[f520,f1796]) ).
fof(f520,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK39(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP13(X0,X1,X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f1794,plain,
( spl55_174
| ~ spl55_47
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1542,f1499,f914,f1791]) ).
fof(f1791,plain,
( spl55_174
<=> sdtlseqdt0(sz00,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_174])]) ).
fof(f1542,plain,
( sdtlseqdt0(sz00,sK23)
| ~ spl55_47
| ~ spl55_142 ),
inference(resolution,[],[f1501,f915]) ).
fof(f1789,plain,
spl55_173,
inference(avatar_split_clause,[],[f507,f1787]) ).
fof(f507,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1785,plain,
spl55_172,
inference(avatar_split_clause,[],[f410,f1783]) ).
fof(f410,plain,
! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1772,plain,
~ spl55_171,
inference(avatar_split_clause,[],[f660,f1769]) ).
fof(f660,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(equality_resolution,[],[f448]) ).
fof(f448,plain,
! [X1] :
( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f267]) ).
fof(f1767,plain,
spl55_170,
inference(avatar_split_clause,[],[f451,f1765]) ).
fof(f451,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f267]) ).
fof(f1763,plain,
spl55_169,
inference(avatar_split_clause,[],[f440,f1761]) ).
fof(f1761,plain,
( spl55_169
<=> ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_169])]) ).
fof(f440,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1735,plain,
( spl55_168
| ~ spl55_46
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1541,f1499,f910,f1732]) ).
fof(f1732,plain,
( spl55_168
<=> sdtlseqdt0(sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_168])]) ).
fof(f1541,plain,
( sdtlseqdt0(sK23,sK23)
| ~ spl55_46
| ~ spl55_142 ),
inference(resolution,[],[f1501,f911]) ).
fof(f1669,plain,
( spl55_167
| ~ spl55_45
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1540,f1499,f906,f1666]) ).
fof(f1666,plain,
( spl55_167
<=> isFinite0(slbdtrb0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_167])]) ).
fof(f1540,plain,
( isFinite0(slbdtrb0(sK23))
| ~ spl55_45
| ~ spl55_142 ),
inference(resolution,[],[f1501,f907]) ).
fof(f1656,plain,
spl55_166,
inference(avatar_split_clause,[],[f674,f1654]) ).
fof(f674,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f581]) ).
fof(f581,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1652,plain,
spl55_165,
inference(avatar_split_clause,[],[f669,f1650]) ).
fof(f669,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP13(X0,X1,X2) ),
inference(equality_resolution,[],[f522]) ).
fof(f522,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP13(X0,X1,X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f1648,plain,
spl55_164,
inference(avatar_split_clause,[],[f635,f1646]) ).
fof(f1646,plain,
( spl55_164
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP21(X1,X0,X2)
| ~ sP22(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_164])]) ).
fof(f635,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP21(X1,X0,X2)
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP21(X1,X0,X2) )
& ( sP21(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP22(X0,X1) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP21(X1,X0,X2) )
| ~ sP22(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1644,plain,
spl55_163,
inference(avatar_split_clause,[],[f608,f1642]) ).
fof(f608,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f1640,plain,
spl55_162,
inference(avatar_split_clause,[],[f599,f1638]) ).
fof(f599,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1636,plain,
spl55_161,
inference(avatar_split_clause,[],[f596,f1634]) ).
fof(f1634,plain,
( spl55_161
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP17(X1,X0,X2)
| ~ sP18(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_161])]) ).
fof(f596,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP17(X1,X0,X2)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP17(X1,X0,X2) )
& ( sP17(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP18(X0,X1) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP17(X1,X0,X2) )
| ~ sP18(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1632,plain,
spl55_160,
inference(avatar_split_clause,[],[f574,f1630]) ).
fof(f1630,plain,
( spl55_160
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_160])]) ).
fof(f574,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f1628,plain,
spl55_159,
inference(avatar_split_clause,[],[f550,f1626]) ).
fof(f550,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK42(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK42(X0,X1),X0)
& aElementOf0(sK42(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,[sK42])],[f325,f326]) ).
fof(f326,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK42(X0,X1),X0)
& aElementOf0(sK42(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f325,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,[],[f324]) ).
fof(f324,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,[],[f323]) ).
fof(f323,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,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1624,plain,
spl55_158,
inference(avatar_split_clause,[],[f549,f1622]) ).
fof(f549,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK42(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f1620,plain,
spl55_157,
inference(avatar_split_clause,[],[f545,f1618]) ).
fof(f545,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f1616,plain,
spl55_156,
inference(avatar_split_clause,[],[f544,f1614]) ).
fof(f544,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f1612,plain,
spl55_155,
inference(avatar_split_clause,[],[f518,f1610]) ).
fof(f1610,plain,
( spl55_155
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP13(X1,X0,X2)
| ~ sP14(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_155])]) ).
fof(f518,plain,
! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP13(X1,X0,X2)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP13(X1,X0,X2) )
& ( sP13(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP14(X0,X1) ),
inference(rectify,[],[f310]) ).
fof(f310,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP13(X0,X1,X2) )
& ( sP13(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP14(X1,X0) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP13(X0,X1,X2) )
| ~ sP14(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1608,plain,
spl55_154,
inference(avatar_split_clause,[],[f510,f1606]) ).
fof(f1606,plain,
( spl55_154
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP11(X2,X1,X0)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_154])]) ).
fof(f510,plain,
! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP11(X2,X1,X0)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP11(X2,X1,X0) )
& ( sP11(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP11(X2,X0,X1) )
& ( sP11(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP12(X1,X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP11(X2,X0,X1) )
| ~ sP12(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1604,plain,
spl55_153,
inference(avatar_split_clause,[],[f469,f1602]) ).
fof(f469,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(sK28(X0,X1,X2,X3),X3)
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
fof(f1582,plain,
( spl55_152
| ~ spl55_36
| ~ spl55_142 ),
inference(avatar_split_clause,[],[f1539,f1499,f861,f1579]) ).
fof(f1579,plain,
( spl55_152
<=> sP16(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_152])]) ).
fof(f1539,plain,
( sP16(sK23)
| ~ spl55_36
| ~ spl55_142 ),
inference(resolution,[],[f1501,f862]) ).
fof(f1574,plain,
spl55_151,
inference(avatar_split_clause,[],[f657,f1572]) ).
fof(f657,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(equality_resolution,[],[f406]) ).
fof(f406,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1570,plain,
spl55_150,
inference(avatar_split_clause,[],[f497,f1568]) ).
fof(f497,plain,
! [X0,X1] :
( sP10(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1566,plain,
spl55_149,
inference(avatar_split_clause,[],[f454,f1563]) ).
fof(f454,plain,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(cnf_transformation,[],[f267]) ).
fof(f1561,plain,
spl55_148,
inference(avatar_split_clause,[],[f446,f1559]) ).
fof(f446,plain,
! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f267]) ).
fof(f1557,plain,
spl55_147,
inference(avatar_split_clause,[],[f405,f1555]) ).
fof(f405,plain,
! [X1] :
( sdtlpdtrp0(xc,sK24(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1518,plain,
spl55_146,
inference(avatar_split_clause,[],[f688,f1516]) ).
fof(f688,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP21(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f639]) ).
fof(f639,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP21(X0,X1,X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f1514,plain,
spl55_145,
inference(avatar_split_clause,[],[f638,f1512]) ).
fof(f638,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP21(X0,X1,X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f1510,plain,
spl55_144,
inference(avatar_split_clause,[],[f598,f1508]) ).
fof(f598,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1506,plain,
spl55_143,
inference(avatar_split_clause,[],[f576,f1504]) ).
fof(f1504,plain,
( spl55_143
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_143])]) ).
fof(f576,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1502,plain,
( ~ spl55_17
| spl55_142
| ~ spl55_2
| ~ spl55_133 ),
inference(avatar_split_clause,[],[f1468,f1446,f699,f1499,f774]) ).
fof(f1468,plain,
( aElementOf0(sK23,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl55_2
| ~ spl55_133 ),
inference(resolution,[],[f1447,f701]) ).
fof(f1497,plain,
spl55_141,
inference(avatar_split_clause,[],[f562,f1495]) ).
fof(f562,plain,
! [X0] :
( szszuzczcdt0(sK43(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( szszuzczcdt0(sK43(X0)) = X0
& aElementOf0(sK43(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f156,f328]) ).
fof(f328,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK43(X0)) = X0
& aElementOf0(sK43(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1493,plain,
spl55_140,
inference(avatar_split_clause,[],[f548,f1491]) ).
fof(f548,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f1489,plain,
spl55_139,
inference(avatar_split_clause,[],[f486,f1487]) ).
fof(f486,plain,
! [X2,X3,X0,X1,X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2,X3] :
( ( ~ aElementOf0(X1,szDzozmdt0(X0))
& sbrdtbr0(X1) = X2
& aSubsetOf0(X1,X3)
& ! [X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1) )
& aSet0(X1) )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f295]) ).
fof(f295,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP2(X3,X7,X0,X1) ),
inference(nnf_transformation,[],[f220]) ).
fof(f1485,plain,
spl55_138,
inference(avatar_split_clause,[],[f470,f1483]) ).
fof(f470,plain,
! [X2,X3,X0,X1] :
( isCountable0(sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
fof(f1481,plain,
spl55_137,
inference(avatar_split_clause,[],[f467,f1479]) ).
fof(f1479,plain,
( spl55_137
<=> ! [X0,X3,X2,X1] :
( aSet0(sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_137])]) ).
fof(f467,plain,
! [X2,X3,X0,X1] :
( aSet0(sK28(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
fof(f1477,plain,
spl55_136,
inference(avatar_split_clause,[],[f411,f1475]) ).
fof(f1475,plain,
( spl55_136
<=> ! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_136])]) ).
fof(f411,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1461,plain,
( spl55_135
| ~ spl55_19
| ~ spl55_45 ),
inference(avatar_split_clause,[],[f946,f906,f784,f1458]) ).
fof(f1458,plain,
( spl55_135
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_135])]) ).
fof(f946,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl55_19
| ~ spl55_45 ),
inference(resolution,[],[f907,f786]) ).
fof(f1452,plain,
spl55_134,
inference(avatar_split_clause,[],[f492,f1450]) ).
fof(f492,plain,
! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f1448,plain,
spl55_133,
inference(avatar_split_clause,[],[f456,f1446]) ).
fof(f456,plain,
! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f1444,plain,
spl55_132,
inference(avatar_split_clause,[],[f436,f1442]) ).
fof(f436,plain,
! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1440,plain,
spl55_131,
inference(avatar_split_clause,[],[f404,f1438]) ).
fof(f404,plain,
! [X1] :
( aElementOf0(sK24(X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1436,plain,
spl55_130,
inference(avatar_split_clause,[],[f401,f1434]) ).
fof(f401,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1409,plain,
( spl55_129
| ~ spl55_16
| ~ spl55_45 ),
inference(avatar_split_clause,[],[f945,f906,f769,f1406]) ).
fof(f1406,plain,
( spl55_129
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_129])]) ).
fof(f945,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl55_16
| ~ spl55_45 ),
inference(resolution,[],[f907,f771]) ).
fof(f1381,plain,
spl55_128,
inference(avatar_split_clause,[],[f685,f1379]) ).
fof(f685,plain,
! [X0,X1] :
( sP20(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f626]) ).
fof(f626,plain,
! [X2,X0,X1] :
( sP20(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1377,plain,
spl55_127,
inference(avatar_split_clause,[],[f682,f1375]) ).
fof(f682,plain,
! [X0,X1] :
( sP19(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f615]) ).
fof(f615,plain,
! [X2,X0,X1] :
( sP19(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f1373,plain,
spl55_126,
inference(avatar_split_clause,[],[f676,f1371]) ).
fof(f676,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f587]) ).
fof(f587,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f1369,plain,
spl55_125,
inference(avatar_split_clause,[],[f637,f1367]) ).
fof(f637,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP21(X0,X1,X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f1365,plain,
spl55_124,
inference(avatar_split_clause,[],[f618,f1363]) ).
fof(f618,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f1361,plain,
spl55_123,
inference(avatar_split_clause,[],[f594,f1359]) ).
fof(f594,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f1357,plain,
spl55_122,
inference(avatar_split_clause,[],[f586,f1355]) ).
fof(f586,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK46(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK46(X0)))
& aElementOf0(sK46(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f177,f341]) ).
fof(f341,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK46(X0)))
& aElementOf0(sK46(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f1353,plain,
spl55_121,
inference(avatar_split_clause,[],[f567,f1351]) ).
fof(f567,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f1349,plain,
spl55_120,
inference(avatar_split_clause,[],[f561,f1347]) ).
fof(f561,plain,
! [X0] :
( aElementOf0(sK43(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f1345,plain,
( spl55_119
| ~ spl55_20
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f866,f861,f789,f1342]) ).
fof(f866,plain,
( sP16(sz00)
| ~ spl55_20
| ~ spl55_36 ),
inference(resolution,[],[f862,f791]) ).
fof(f1340,plain,
spl55_118,
inference(avatar_split_clause,[],[f536,f1338]) ).
fof(f536,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f1336,plain,
spl55_117,
inference(avatar_split_clause,[],[f535,f1334]) ).
fof(f535,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f1332,plain,
spl55_116,
inference(avatar_split_clause,[],[f534,f1330]) ).
fof(f1330,plain,
( spl55_116
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_116])]) ).
fof(f534,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f1328,plain,
spl55_115,
inference(avatar_split_clause,[],[f533,f1326]) ).
fof(f1326,plain,
( spl55_115
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_115])]) ).
fof(f533,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f1324,plain,
spl55_114,
inference(avatar_split_clause,[],[f527,f1322]) ).
fof(f527,plain,
! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f1320,plain,
spl55_113,
inference(avatar_split_clause,[],[f409,f1318]) ).
fof(f409,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1312,plain,
spl55_112,
inference(avatar_split_clause,[],[f452,f1309]) ).
fof(f1309,plain,
( spl55_112
<=> aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_112])]) ).
fof(f452,plain,
aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f267]) ).
fof(f1307,plain,
spl55_111,
inference(avatar_split_clause,[],[f438,f1305]) ).
fof(f438,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1303,plain,
spl55_110,
inference(avatar_split_clause,[],[f396,f1301]) ).
fof(f396,plain,
! [X6,X4] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1279,plain,
( ~ spl55_109
| ~ spl55_39
| ~ spl55_78 ),
inference(avatar_split_clause,[],[f1131,f1092,f880,f1276]) ).
fof(f1276,plain,
( spl55_109
<=> sP8(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_109])]) ).
fof(f1092,plain,
( spl55_78
<=> ! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_78])]) ).
fof(f1131,plain,
( ~ sP8(xc)
| ~ spl55_39
| ~ spl55_78 ),
inference(resolution,[],[f1093,f882]) ).
fof(f1093,plain,
( ! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP8(X0) )
| ~ spl55_78 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1249,plain,
spl55_108,
inference(avatar_split_clause,[],[f687,f1247]) ).
fof(f687,plain,
! [X0,X1] :
( sP21(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP22(X0,X1) ),
inference(equality_resolution,[],[f634]) ).
fof(f634,plain,
! [X2,X0,X1] :
( sP21(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f377]) ).
fof(f1245,plain,
spl55_107,
inference(avatar_split_clause,[],[f681,f1243]) ).
fof(f681,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP19(X4,X1,X2) ),
inference(equality_resolution,[],[f609]) ).
fof(f609,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f1241,plain,
spl55_106,
inference(avatar_split_clause,[],[f679,f1239]) ).
fof(f679,plain,
! [X0,X1] :
( sP17(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP18(X0,X1) ),
inference(equality_resolution,[],[f595]) ).
fof(f595,plain,
! [X2,X0,X1] :
( sP17(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f1237,plain,
spl55_105,
inference(avatar_split_clause,[],[f668,f1235]) ).
fof(f668,plain,
! [X0,X1] :
( sP13(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP14(X0,X1) ),
inference(equality_resolution,[],[f517]) ).
fof(f517,plain,
! [X2,X0,X1] :
( sP13(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f1233,plain,
spl55_104,
inference(avatar_split_clause,[],[f665,f1231]) ).
fof(f665,plain,
! [X0,X1] :
( sP11(sdtexdt0(X1,X0),X1,X0)
| ~ sP12(X0,X1) ),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X2,X0,X1] :
( sP11(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f1229,plain,
spl55_103,
inference(avatar_split_clause,[],[f617,f1227]) ).
fof(f617,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f1225,plain,
spl55_102,
inference(avatar_split_clause,[],[f606,f1223]) ).
fof(f606,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f363]) ).
fof(f1221,plain,
spl55_101,
inference(avatar_split_clause,[],[f593,f1219]) ).
fof(f593,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK48(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK48(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f350,f351]) ).
fof(f351,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK48(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f1217,plain,
spl55_100,
inference(avatar_split_clause,[],[f585,f1215]) ).
fof(f585,plain,
! [X0] :
( aElementOf0(sK46(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f1213,plain,
spl55_99,
inference(avatar_split_clause,[],[f577,f1211]) ).
fof(f577,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f1209,plain,
spl55_98,
inference(avatar_split_clause,[],[f566,f1207]) ).
fof(f566,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f1205,plain,
spl55_97,
inference(avatar_split_clause,[],[f564,f1203]) ).
fof(f1203,plain,
( spl55_97
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP15(X0,X1)
| ~ sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_97])]) ).
fof(f564,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP15(X0,X1)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP15(X0,X1) )
& ( sP15(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP15(X0,X1) )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1201,plain,
spl55_96,
inference(avatar_split_clause,[],[f539,f1199]) ).
fof(f539,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f1197,plain,
spl55_95,
inference(avatar_split_clause,[],[f526,f1195]) ).
fof(f526,plain,
! [X0,X1] :
( sP14(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( sP14(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f122,f235,f234]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f1193,plain,
spl55_94,
inference(avatar_split_clause,[],[f516,f1191]) ).
fof(f516,plain,
! [X0,X1] :
( sP12(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( sP12(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f121,f232,f231]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(f1189,plain,
spl55_93,
inference(avatar_split_clause,[],[f489,f1187]) ).
fof(f1187,plain,
( spl55_93
<=> ! [X0,X3,X2,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_93])]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1185,plain,
spl55_92,
inference(avatar_split_clause,[],[f488,f1183]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( sbrdtbr0(X1) = X2
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1181,plain,
spl55_91,
inference(avatar_split_clause,[],[f476,f1179]) ).
fof(f476,plain,
! [X0] :
( aElementOf0(sK30(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ~ aElementOf0(sK30(X0),xT)
& aElementOf0(sK30(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f283,f284]) ).
fof(f284,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
=> ( ~ aElementOf0(sK30(X0),xT)
& aElementOf0(sK30(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP5(X0) ),
inference(rectify,[],[f282]) ).
fof(f282,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP5(X3) ),
inference(nnf_transformation,[],[f223]) ).
fof(f1174,plain,
( ~ spl55_17
| ~ spl55_57
| spl55_73 ),
inference(avatar_split_clause,[],[f1135,f1067,f976,f774]) ).
fof(f1135,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ spl55_57
| spl55_73 ),
inference(resolution,[],[f1069,f977]) ).
fof(f1069,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| spl55_73 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1173,plain,
spl55_90,
inference(avatar_split_clause,[],[f445,f1170]) ).
fof(f1170,plain,
( spl55_90
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_90])]) ).
fof(f445,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f267]) ).
fof(f1168,plain,
spl55_89,
inference(avatar_split_clause,[],[f442,f1165]) ).
fof(f442,plain,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f265]) ).
fof(f1163,plain,
spl55_88,
inference(avatar_split_clause,[],[f407,f1161]) ).
fof(f407,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1130,plain,
spl55_87,
inference(avatar_split_clause,[],[f690,f1128]) ).
fof(f690,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f689]) ).
fof(f689,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f654]) ).
fof(f654,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f386]) ).
fof(f1126,plain,
spl55_86,
inference(avatar_split_clause,[],[f686,f1124]) ).
fof(f1124,plain,
( spl55_86
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_86])]) ).
fof(f686,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f625]) ).
fof(f625,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1122,plain,
spl55_85,
inference(avatar_split_clause,[],[f683,f1120]) ).
fof(f1120,plain,
( spl55_85
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_85])]) ).
fof(f683,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f614]) ).
fof(f614,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f1118,plain,
spl55_84,
inference(avatar_split_clause,[],[f643,f1116]) ).
fof(f643,plain,
! [X0,X1] :
( sP22(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( sP22(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f198,f248,f247]) ).
fof(f198,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,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f1114,plain,
spl55_83,
inference(avatar_split_clause,[],[f558,f1112]) ).
fof(f558,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f1110,plain,
spl55_82,
inference(avatar_split_clause,[],[f542,f1108]) ).
fof(f542,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f1106,plain,
spl55_81,
inference(avatar_split_clause,[],[f541,f1104]) ).
fof(f541,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1102,plain,
spl55_80,
inference(avatar_split_clause,[],[f512,f1100]) ).
fof(f512,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1098,plain,
spl55_79,
inference(avatar_split_clause,[],[f487,f1096]) ).
fof(f487,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(X1,X3)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1094,plain,
spl55_78,
inference(avatar_split_clause,[],[f466,f1092]) ).
fof(f466,plain,
! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& sP5(X0)
& sP4(X0)
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP8(X0) ),
inference(rectify,[],[f272]) ).
fof(f272,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP5(X3)
& sP4(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP8(X3) ),
inference(nnf_transformation,[],[f226]) ).
fof(f1087,plain,
spl55_77,
inference(avatar_split_clause,[],[f457,f1085]) ).
fof(f457,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1083,plain,
spl55_76,
inference(avatar_split_clause,[],[f435,f1080]) ).
fof(f435,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f265]) ).
fof(f1078,plain,
spl55_75,
inference(avatar_split_clause,[],[f398,f1076]) ).
fof(f398,plain,
! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1074,plain,
( ~ spl55_73
| spl55_74
| ~ spl55_2
| ~ spl55_63 ),
inference(avatar_split_clause,[],[f1050,f1003,f699,f1071,f1067]) ).
fof(f1050,plain,
( aElement0(sK23)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ spl55_2
| ~ spl55_63 ),
inference(resolution,[],[f1004,f701]) ).
fof(f1041,plain,
spl55_72,
inference(avatar_split_clause,[],[f684,f1039]) ).
fof(f684,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP20(X4,X1,X2) ),
inference(equality_resolution,[],[f619]) ).
fof(f619,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f1037,plain,
spl55_71,
inference(avatar_split_clause,[],[f604,f1035]) ).
fof(f1035,plain,
( spl55_71
<=> ! [X0,X1] :
( sP18(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_71])]) ).
fof(f604,plain,
! [X0,X1] :
( sP18(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( sP18(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f184,f241,f240]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f1033,plain,
spl55_70,
inference(avatar_split_clause,[],[f560,f1031]) ).
fof(f1031,plain,
( spl55_70
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_70])]) ).
fof(f560,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f1029,plain,
spl55_69,
inference(avatar_split_clause,[],[f559,f1027]) ).
fof(f559,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1025,plain,
spl55_68,
inference(avatar_split_clause,[],[f557,f1023]) ).
fof(f557,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f1021,plain,
spl55_67,
inference(avatar_split_clause,[],[f556,f1019]) ).
fof(f556,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f1017,plain,
spl55_66,
inference(avatar_split_clause,[],[f555,f1015]) ).
fof(f555,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f1013,plain,
spl55_65,
inference(avatar_split_clause,[],[f554,f1011]) ).
fof(f554,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f1009,plain,
spl55_64,
inference(avatar_split_clause,[],[f547,f1007]) ).
fof(f547,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f1005,plain,
spl55_63,
inference(avatar_split_clause,[],[f543,f1003]) ).
fof(f543,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f1001,plain,
spl55_62,
inference(avatar_split_clause,[],[f485,f999]) ).
fof(f485,plain,
! [X2,X3,X0,X1] :
( aSet0(X1)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
fof(f997,plain,
spl55_61,
inference(avatar_split_clause,[],[f463,f995]) ).
fof(f463,plain,
! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f993,plain,
spl55_60,
inference(avatar_split_clause,[],[f416,f991]) ).
fof(f416,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f989,plain,
spl55_59,
inference(avatar_split_clause,[],[f413,f987]) ).
fof(f413,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f982,plain,
spl55_58,
inference(avatar_split_clause,[],[f458,f980]) ).
fof(f458,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f978,plain,
spl55_57,
inference(avatar_split_clause,[],[f455,f976]) ).
fof(f455,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f974,plain,
spl55_56,
inference(avatar_split_clause,[],[f437,f971]) ).
fof(f971,plain,
( spl55_56
<=> aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).
fof(f437,plain,
aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f265]) ).
fof(f969,plain,
spl55_55,
inference(avatar_split_clause,[],[f397,f967]) ).
fof(f397,plain,
! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f961,plain,
( spl55_54
| ~ spl55_17
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f869,f861,f774,f958]) ).
fof(f958,plain,
( spl55_54
<=> sP16(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_54])]) ).
fof(f869,plain,
( sP16(xi)
| ~ spl55_17
| ~ spl55_36 ),
inference(resolution,[],[f862,f776]) ).
fof(f943,plain,
spl55_53,
inference(avatar_split_clause,[],[f671,f941]) ).
fof(f671,plain,
! [X0] :
( sP15(X0,slbdtrb0(X0))
| ~ sP16(X0) ),
inference(equality_resolution,[],[f563]) ).
fof(f563,plain,
! [X0,X1] :
( sP15(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f938,plain,
( ~ spl55_14
| spl55_52 ),
inference(avatar_split_clause,[],[f670,f935,f759]) ).
fof(f670,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f540]) ).
fof(f540,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f933,plain,
spl55_51,
inference(avatar_split_clause,[],[f636,f931]) ).
fof(f636,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP21(X0,X1,X2) ),
inference(cnf_transformation,[],[f382]) ).
fof(f929,plain,
( spl55_50
| ~ spl55_19
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f868,f861,f784,f926]) ).
fof(f926,plain,
( spl55_50
<=> sP16(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_50])]) ).
fof(f868,plain,
( sP16(xk)
| ~ spl55_19
| ~ spl55_36 ),
inference(resolution,[],[f862,f786]) ).
fof(f924,plain,
spl55_49,
inference(avatar_split_clause,[],[f597,f922]) ).
fof(f597,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f920,plain,
spl55_48,
inference(avatar_split_clause,[],[f578,f918]) ).
fof(f578,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f916,plain,
spl55_47,
inference(avatar_split_clause,[],[f553,f914]) ).
fof(f553,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f912,plain,
spl55_46,
inference(avatar_split_clause,[],[f552,f910]) ).
fof(f552,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f908,plain,
spl55_45,
inference(avatar_split_clause,[],[f551,f906]) ).
fof(f551,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f904,plain,
spl55_44,
inference(avatar_split_clause,[],[f519,f902]) ).
fof(f519,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP13(X0,X1,X2) ),
inference(cnf_transformation,[],[f318]) ).
fof(f900,plain,
spl55_43,
inference(avatar_split_clause,[],[f511,f898]) ).
fof(f511,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
fof(f896,plain,
spl55_42,
inference(avatar_split_clause,[],[f477,f894]) ).
fof(f477,plain,
! [X0] :
( ~ aElementOf0(sK30(X0),xT)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f892,plain,
( spl55_41
| ~ spl55_16
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f867,f861,f769,f889]) ).
fof(f889,plain,
( spl55_41
<=> sP16(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).
fof(f867,plain,
( sP16(xK)
| ~ spl55_16
| ~ spl55_36 ),
inference(resolution,[],[f862,f771]) ).
fof(f887,plain,
spl55_40,
inference(avatar_split_clause,[],[f430,f885]) ).
fof(f430,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f883,plain,
spl55_39,
inference(avatar_split_clause,[],[f408,f880]) ).
fof(f408,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f256]) ).
fof(f878,plain,
spl55_38,
inference(avatar_split_clause,[],[f402,f875]) ).
fof(f402,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f256]) ).
fof(f873,plain,
spl55_37,
inference(avatar_split_clause,[],[f395,f871]) ).
fof(f395,plain,
! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f863,plain,
spl55_36,
inference(avatar_split_clause,[],[f572,f861]) ).
fof(f572,plain,
! [X0] :
( sP16(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( sP16(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f157,f238,f237]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f859,plain,
spl55_35,
inference(avatar_split_clause,[],[f565,f857]) ).
fof(f565,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f855,plain,
spl55_34,
inference(avatar_split_clause,[],[f538,f853]) ).
fof(f538,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f851,plain,
spl55_33,
inference(avatar_split_clause,[],[f537,f849]) ).
fof(f537,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f847,plain,
spl55_32,
inference(avatar_split_clause,[],[f506,f845]) ).
fof(f845,plain,
( spl55_32
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_32])]) ).
fof(f506,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f843,plain,
spl55_31,
inference(avatar_split_clause,[],[f423,f840]) ).
fof(f423,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f263]) ).
fof(f838,plain,
spl55_30,
inference(avatar_split_clause,[],[f403,f835]) ).
fof(f403,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f256]) ).
fof(f833,plain,
( ~ spl55_14
| ~ spl55_29 ),
inference(avatar_split_clause,[],[f672,f830,f759]) ).
fof(f830,plain,
( spl55_29
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_29])]) ).
fof(f672,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f579]) ).
fof(f579,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f828,plain,
spl55_28,
inference(avatar_split_clause,[],[f503,f825]) ).
fof(f503,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f823,plain,
spl55_27,
inference(avatar_split_clause,[],[f465,f821]) ).
fof(f821,plain,
( spl55_27
<=> ! [X0] :
( sP5(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_27])]) ).
fof(f465,plain,
! [X0] :
( sP5(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f819,plain,
spl55_26,
inference(avatar_split_clause,[],[f464,f817]) ).
fof(f817,plain,
( spl55_26
<=> ! [X0] :
( sP4(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).
fof(f464,plain,
! [X0] :
( sP4(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f815,plain,
spl55_25,
inference(avatar_split_clause,[],[f412,f813]) ).
fof(f813,plain,
( spl55_25
<=> ! [X0] :
( sP0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_25])]) ).
fof(f412,plain,
! [X0] :
( sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f811,plain,
spl55_24,
inference(avatar_split_clause,[],[f453,f808]) ).
fof(f453,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f267]) ).
fof(f806,plain,
spl55_23,
inference(avatar_split_clause,[],[f434,f803]) ).
fof(f434,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f801,plain,
spl55_22,
inference(avatar_split_clause,[],[f422,f798]) ).
fof(f422,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f263]) ).
fof(f796,plain,
spl55_21,
inference(avatar_split_clause,[],[f677,f794]) ).
fof(f677,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f592]) ).
fof(f592,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f352]) ).
fof(f792,plain,
spl55_20,
inference(avatar_split_clause,[],[f502,f789]) ).
fof(f502,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f787,plain,
spl55_19,
inference(avatar_split_clause,[],[f433,f784]) ).
fof(f433,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f782,plain,
spl55_18,
inference(avatar_split_clause,[],[f431,f779]) ).
fof(f431,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f108]) ).
fof(f777,plain,
spl55_17,
inference(avatar_split_clause,[],[f393,f774]) ).
fof(f393,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).
fof(f772,plain,
spl55_16,
inference(avatar_split_clause,[],[f392,f769]) ).
fof(f392,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f767,plain,
~ spl55_15,
inference(avatar_split_clause,[],[f390,f764]) ).
fof(f390,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f762,plain,
spl55_14,
inference(avatar_split_clause,[],[f678,f759]) ).
fof(f678,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f591]) ).
fof(f591,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f352]) ).
fof(f757,plain,
spl55_13,
inference(avatar_split_clause,[],[f505,f754]) ).
fof(f505,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f752,plain,
spl55_12,
inference(avatar_split_clause,[],[f504,f749]) ).
fof(f504,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f747,plain,
spl55_11,
inference(avatar_split_clause,[],[f501,f744]) ).
fof(f501,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f742,plain,
spl55_10,
inference(avatar_split_clause,[],[f450,f739]) ).
fof(f450,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f267]) ).
fof(f737,plain,
spl55_9,
inference(avatar_split_clause,[],[f432,f734]) ).
fof(f432,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f108]) ).
fof(f732,plain,
spl55_8,
inference(avatar_split_clause,[],[f429,f729]) ).
fof(f429,plain,
aSet0(xS),
inference(cnf_transformation,[],[f108]) ).
fof(f727,plain,
spl55_7,
inference(avatar_split_clause,[],[f428,f724]) ).
fof(f428,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f722,plain,
spl55_6,
inference(avatar_split_clause,[],[f427,f719]) ).
fof(f427,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f717,plain,
spl55_5,
inference(avatar_split_clause,[],[f421,f714]) ).
fof(f421,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f263]) ).
fof(f712,plain,
spl55_4,
inference(avatar_split_clause,[],[f394,f709]) ).
fof(f709,plain,
( spl55_4
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).
fof(f394,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f256]) ).
fof(f707,plain,
~ spl55_3,
inference(avatar_split_clause,[],[f389,f704]) ).
fof(f389,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ~ aElementOf0(sK23,xS)
& aElementOf0(sK23,sdtlpdtrp0(xN,xi)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f103,f250]) ).
fof(f250,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
=> ( ~ aElementOf0(sK23,xS)
& aElementOf0(sK23,sdtlpdtrp0(xN,xi)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f702,plain,
spl55_2,
inference(avatar_split_clause,[],[f387,f699]) ).
fof(f387,plain,
aElementOf0(sK23,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f251]) ).
fof(f697,plain,
~ spl55_1,
inference(avatar_split_clause,[],[f388,f694]) ).
fof(f388,plain,
~ aElementOf0(sK23,xS),
inference(cnf_transformation,[],[f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM582+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 00:17:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (11432)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (11435)WARNING: value z3 for option sas not known
% 0.14/0.38 % (11436)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (11433)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (11438)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)
% 0.14/0.38 % (11434)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (11435)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)
% 0.14/0.38 % (11437)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)
% 0.14/0.38 % (11439)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.45 TRYING [3]
% 1.26/0.54 TRYING [4]
% 2.92/0.80 TRYING [5]
% 4.47/1.00 % (11437)First to succeed.
% 4.47/1.03 % (11437)Refutation found. Thanks to Tanya!
% 4.47/1.03 % SZS status Theorem for theBenchmark
% 4.47/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 4.47/1.04 % (11437)------------------------------
% 4.47/1.04 % (11437)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.47/1.04 % (11437)Termination reason: Refutation
% 4.47/1.04
% 4.47/1.04 % (11437)Memory used [KB]: 12168
% 4.47/1.04 % (11437)Time elapsed: 0.642 s
% 4.47/1.04 % (11437)Instructions burned: 1544 (million)
% 4.47/1.04 % (11437)------------------------------
% 4.47/1.04 % (11437)------------------------------
% 4.47/1.04 % (11432)Success in time 0.668 s
%------------------------------------------------------------------------------