TSTP Solution File: SEU129+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:27:07 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 258
% Syntax : Number of formulae : 871 ( 46 unt; 0 def)
% Number of atoms : 3040 ( 54 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 3688 (1519 ~;1872 |; 42 &)
% ( 245 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 244 ( 242 usr; 239 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 1592 (1575 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4064,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f78,f83,f88,f93,f97,f101,f105,f109,f113,f119,f123,f128,f135,f139,f155,f159,f167,f173,f180,f184,f190,f195,f199,f203,f217,f232,f236,f249,f253,f257,f261,f276,f290,f294,f299,f303,f328,f332,f350,f366,f370,f374,f378,f410,f414,f422,f426,f430,f434,f446,f450,f454,f458,f462,f478,f482,f486,f490,f534,f542,f555,f559,f563,f567,f594,f598,f610,f614,f618,f629,f641,f645,f649,f653,f657,f661,f665,f703,f707,f711,f715,f719,f723,f727,f731,f735,f739,f743,f747,f953,f957,f961,f965,f969,f1033,f1053,f1057,f1061,f1065,f1069,f1073,f1077,f1081,f1085,f1167,f1383,f1456,f1485,f1489,f1493,f1497,f1502,f1506,f1510,f1514,f1554,f1558,f1562,f1566,f1570,f1574,f1578,f1582,f1586,f1590,f1591,f1599,f1603,f1607,f1611,f1615,f1619,f1623,f1683,f1723,f1727,f1731,f1735,f1765,f1782,f1786,f1805,f1809,f1813,f1817,f1821,f1826,f1830,f1834,f1838,f1842,f1846,f1850,f1854,f1858,f1862,f1866,f1877,f2322,f2326,f2330,f2335,f2361,f2365,f2439,f2444,f2448,f2461,f2465,f2469,f2473,f2477,f2481,f2485,f2489,f2493,f2497,f2501,f2505,f2509,f2661,f2760,f2768,f2772,f2776,f2780,f2784,f2788,f3049,f3053,f3057,f3061,f3065,f3069,f3073,f3078,f3082,f3236,f3348,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f3384,f3388,f3392,f3396,f3400,f3404,f3408,f3412,f3416,f3420,f3424,f3428,f3432,f3436,f3875,f3941,f3945,f3949,f3953,f3995,f4013,f4017,f4021,f4025,f4029,f4033,f4037,f4041,f4045,f4060]) ).
fof(f4060,plain,
( spl8_2
| ~ spl8_224 ),
inference(avatar_contradiction_clause,[],[f4046]) ).
fof(f4046,plain,
( $false
| spl8_2
| ~ spl8_224 ),
inference(resolution,[],[f3874,f77]) ).
fof(f77,plain,
( ~ subset(set_intersection2(sK1,sK3),set_intersection2(sK2,sK3))
| spl8_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl8_2
<=> subset(set_intersection2(sK1,sK3),set_intersection2(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f3874,plain,
( ! [X0] : subset(set_intersection2(sK1,X0),set_intersection2(sK2,X0))
| ~ spl8_224 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f3873,plain,
( spl8_224
<=> ! [X0] : subset(set_intersection2(sK1,X0),set_intersection2(sK2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_224])]) ).
fof(f4045,plain,
( spl8_238
| ~ spl8_35
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f864,f725,f292,f4043]) ).
fof(f4043,plain,
( spl8_238
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(set_intersection2(X2,X3),X4))
| in(sK5(X1,X0,set_intersection2(set_intersection2(X2,X3),X4)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_238])]) ).
fof(f292,plain,
( spl8_35
<=> ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).
fof(f725,plain,
( spl8_86
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_86])]) ).
fof(f864,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(set_intersection2(X2,X3),X4))
| in(sK5(X1,X0,set_intersection2(set_intersection2(X2,X3),X4)),X2) )
| ~ spl8_35
| ~ spl8_86 ),
inference(resolution,[],[f726,f293]) ).
fof(f293,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) )
| ~ spl8_35 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| ~ empty(X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_86 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f4041,plain,
( spl8_237
| ~ spl8_37
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f863,f725,f301,f4039]) ).
fof(f4039,plain,
( spl8_237
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(set_intersection2(X2,X3),X4))
| in(sK5(X1,X0,set_intersection2(set_intersection2(X2,X3),X4)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_237])]) ).
fof(f301,plain,
( spl8_37
<=> ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).
fof(f863,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(set_intersection2(X2,X3),X4))
| in(sK5(X1,X0,set_intersection2(set_intersection2(X2,X3),X4)),X3) )
| ~ spl8_37
| ~ spl8_86 ),
inference(resolution,[],[f726,f302]) ).
fof(f302,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) )
| ~ spl8_37 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f4037,plain,
( spl8_236
| ~ spl8_35
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f848,f721,f292,f4035]) ).
fof(f4035,plain,
( spl8_236
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,set_intersection2(X3,X4)))
| in(sK5(X1,X0,set_intersection2(X2,set_intersection2(X3,X4))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_236])]) ).
fof(f721,plain,
( spl8_85
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).
fof(f848,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,set_intersection2(X3,X4)))
| in(sK5(X1,X0,set_intersection2(X2,set_intersection2(X3,X4))),X3) )
| ~ spl8_35
| ~ spl8_85 ),
inference(resolution,[],[f722,f293]) ).
fof(f722,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| ~ empty(X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_85 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f4033,plain,
( spl8_235
| ~ spl8_37
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f847,f721,f301,f4031]) ).
fof(f4031,plain,
( spl8_235
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,set_intersection2(X3,X4)))
| in(sK5(X1,X0,set_intersection2(X2,set_intersection2(X3,X4))),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_235])]) ).
fof(f847,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,set_intersection2(X3,X4)))
| in(sK5(X1,X0,set_intersection2(X2,set_intersection2(X3,X4))),X4) )
| ~ spl8_37
| ~ spl8_85 ),
inference(resolution,[],[f722,f302]) ).
fof(f4029,plain,
( spl8_234
| ~ spl8_35
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f830,f717,f292,f4027]) ).
fof(f4027,plain,
( spl8_234
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(set_intersection2(X2,X3),X4),X0)
| in(sK5(X1,set_intersection2(set_intersection2(X2,X3),X4),X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_234])]) ).
fof(f717,plain,
( spl8_84
<=> ! [X0,X3,X2,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| in(sK5(X0,set_intersection2(X1,X2),X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).
fof(f830,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,set_intersection2(set_intersection2(X2,X3),X4),X0)
| in(sK5(X1,set_intersection2(set_intersection2(X2,X3),X4),X0),X2) )
| ~ spl8_35
| ~ spl8_84 ),
inference(resolution,[],[f718,f293]) ).
fof(f718,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X1)
| ~ empty(X3)
| sP0(X0,set_intersection2(X1,X2),X3) )
| ~ spl8_84 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f4025,plain,
( spl8_233
| ~ spl8_37
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f829,f717,f301,f4023]) ).
fof(f4023,plain,
( spl8_233
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(set_intersection2(X2,X3),X4),X0)
| in(sK5(X1,set_intersection2(set_intersection2(X2,X3),X4),X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_233])]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,set_intersection2(set_intersection2(X2,X3),X4),X0)
| in(sK5(X1,set_intersection2(set_intersection2(X2,X3),X4),X0),X3) )
| ~ spl8_37
| ~ spl8_84 ),
inference(resolution,[],[f718,f302]) ).
fof(f4021,plain,
( spl8_232
| ~ spl8_35
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f814,f713,f292,f4019]) ).
fof(f4019,plain,
( spl8_232
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0)
| in(sK5(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_232])]) ).
fof(f713,plain,
( spl8_83
<=> ! [X0,X3,X2,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| in(sK5(X0,set_intersection2(X1,X2),X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).
fof(f814,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0)
| in(sK5(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0),X3) )
| ~ spl8_35
| ~ spl8_83 ),
inference(resolution,[],[f714,f293]) ).
fof(f714,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X2)
| ~ empty(X3)
| sP0(X0,set_intersection2(X1,X2),X3) )
| ~ spl8_83 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f4017,plain,
( spl8_231
| ~ spl8_37
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f813,f713,f301,f4015]) ).
fof(f4015,plain,
( spl8_231
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0)
| in(sK5(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_231])]) ).
fof(f813,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0)
| in(sK5(X1,set_intersection2(X2,set_intersection2(X3,X4)),X0),X4) )
| ~ spl8_37
| ~ spl8_83 ),
inference(resolution,[],[f714,f302]) ).
fof(f4013,plain,
( spl8_230
| ~ spl8_40
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f630,f627,f348,f4011]) ).
fof(f4011,plain,
( spl8_230
<=> ! [X0,X3,X2,X1] :
( ~ in(set_intersection2(X0,X1),X2)
| ~ in(set_intersection2(X0,X1),X3)
| ~ in(set_intersection2(X3,X2),X0)
| ~ in(set_intersection2(X3,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_230])]) ).
fof(f348,plain,
( spl8_40
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).
fof(f627,plain,
( spl8_72
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ in(set_intersection2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).
fof(f630,plain,
( ! [X2,X3,X0,X1] :
( ~ in(set_intersection2(X0,X1),X2)
| ~ in(set_intersection2(X0,X1),X3)
| ~ in(set_intersection2(X3,X2),X0)
| ~ in(set_intersection2(X3,X2),X1) )
| ~ spl8_40
| ~ spl8_72 ),
inference(resolution,[],[f628,f349]) ).
fof(f349,plain,
( ! [X2,X0,X1] :
( in(X0,set_intersection2(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,X1) )
| ~ spl8_40 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f628,plain,
( ! [X2,X0,X1] :
( ~ in(set_intersection2(X1,X2),X0)
| ~ in(X0,X2)
| ~ in(X0,X1) )
| ~ spl8_72 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f3995,plain,
( spl8_229
| ~ spl8_117
| ~ spl8_214 ),
inference(avatar_split_clause,[],[f3743,f3398,f1508,f3993]) ).
fof(f3993,plain,
( spl8_229
<=> ! [X0] : subset(set_intersection2(X0,sK1),set_intersection2(sK2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_229])]) ).
fof(f1508,plain,
( spl8_117
<=> ! [X0,X1] :
( subset(set_intersection2(X0,sK1),X1)
| in(sK4(set_intersection2(X0,sK1),X1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_117])]) ).
fof(f3398,plain,
( spl8_214
<=> ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X0)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_214])]) ).
fof(f3743,plain,
( ! [X0] : subset(set_intersection2(X0,sK1),set_intersection2(sK2,X0))
| ~ spl8_117
| ~ spl8_214 ),
inference(duplicate_literal_removal,[],[f3725]) ).
fof(f3725,plain,
( ! [X0] :
( subset(set_intersection2(X0,sK1),set_intersection2(sK2,X0))
| subset(set_intersection2(X0,sK1),set_intersection2(sK2,X0)) )
| ~ spl8_117
| ~ spl8_214 ),
inference(resolution,[],[f3399,f1509]) ).
fof(f1509,plain,
( ! [X0,X1] :
( in(sK4(set_intersection2(X0,sK1),X1),sK2)
| subset(set_intersection2(X0,sK1),X1) )
| ~ spl8_117 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f3399,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X0)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X0)) )
| ~ spl8_214 ),
inference(avatar_component_clause,[],[f3398]) ).
fof(f3953,plain,
( spl8_228
| ~ spl8_11
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1014,f967,f117,f3951]) ).
fof(f3951,plain,
( spl8_228
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X0,sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_228])]) ).
fof(f117,plain,
( spl8_11
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f967,plain,
( spl8_96
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_96])]) ).
fof(f1014,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X0,sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) )
| ~ spl8_11
| ~ spl8_96 ),
inference(resolution,[],[f968,f118]) ).
fof(f118,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X0)
| sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)) )
| ~ spl8_96 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f3949,plain,
( spl8_227
| ~ spl8_11
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f999,f963,f117,f3947]) ).
fof(f3947,plain,
( spl8_227
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X1,sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_227])]) ).
fof(f963,plain,
( spl8_95
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_95])]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ in(X1,sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))) )
| ~ spl8_11
| ~ spl8_95 ),
inference(resolution,[],[f964,f118]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X1)
| sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)) )
| ~ spl8_95 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f3945,plain,
( spl8_226
| ~ spl8_11
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f983,f959,f117,f3943]) ).
fof(f3943,plain,
( spl8_226
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X1,sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_226])]) ).
fof(f959,plain,
( spl8_94
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_94])]) ).
fof(f983,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X1,sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) )
| ~ spl8_11
| ~ spl8_94 ),
inference(resolution,[],[f960,f118]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X1)
| sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)) )
| ~ spl8_94 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f3941,plain,
( spl8_225
| ~ spl8_11
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f970,f955,f117,f3939]) ).
fof(f3939,plain,
( spl8_225
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X2,sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_225])]) ).
fof(f955,plain,
( spl8_93
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_93])]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ in(X2,sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))) )
| ~ spl8_11
| ~ spl8_93 ),
inference(resolution,[],[f956,f118]) ).
fof(f956,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X2)
| sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)) )
| ~ spl8_93 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f3875,plain,
( spl8_224
| ~ spl8_116
| ~ spl8_213 ),
inference(avatar_split_clause,[],[f3705,f3394,f1504,f3873]) ).
fof(f1504,plain,
( spl8_116
<=> ! [X0,X1] :
( subset(set_intersection2(sK1,X0),X1)
| in(sK4(set_intersection2(sK1,X0),X1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_116])]) ).
fof(f3394,plain,
( spl8_213
<=> ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X1)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_213])]) ).
fof(f3705,plain,
( ! [X0] : subset(set_intersection2(sK1,X0),set_intersection2(sK2,X0))
| ~ spl8_116
| ~ spl8_213 ),
inference(duplicate_literal_removal,[],[f3685]) ).
fof(f3685,plain,
( ! [X0] :
( subset(set_intersection2(sK1,X0),set_intersection2(sK2,X0))
| subset(set_intersection2(sK1,X0),set_intersection2(sK2,X0)) )
| ~ spl8_116
| ~ spl8_213 ),
inference(resolution,[],[f3395,f1505]) ).
fof(f1505,plain,
( ! [X0,X1] :
( in(sK4(set_intersection2(sK1,X0),X1),sK2)
| subset(set_intersection2(sK1,X0),X1) )
| ~ spl8_116 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f3395,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X1)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X1)) )
| ~ spl8_213 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f3436,plain,
( spl8_223
| ~ spl8_10
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f1356,f1083,f111,f3434]) ).
fof(f3434,plain,
( spl8_223
<=> ! [X0,X3,X2,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_223])]) ).
fof(f111,plain,
( spl8_10
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f1083,plain,
( spl8_106
<=> ! [X0,X3,X2,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X1)
| in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).
fof(f1356,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_106 ),
inference(resolution,[],[f1084,f112]) ).
fof(f112,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| in(sK5(set_intersection2(X0,X1),X2,X3),X1)
| sP0(set_intersection2(X0,X1),X2,X3) )
| ~ spl8_106 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f3432,plain,
( spl8_222
| ~ spl8_137
| ~ spl8_170 ),
inference(avatar_split_clause,[],[f2592,f2459,f1721,f3430]) ).
fof(f3430,plain,
( spl8_222
<=> ! [X0] : sP0(sK2,set_intersection2(X0,sK1),set_intersection2(X0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_222])]) ).
fof(f1721,plain,
( spl8_137
<=> ! [X0,X1] :
( sP0(X0,set_intersection2(X1,sK1),set_intersection2(X1,sK1))
| in(sK5(X0,set_intersection2(X1,sK1),set_intersection2(X1,sK1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_137])]) ).
fof(f2459,plain,
( spl8_170
<=> ! [X0,X1] :
( ~ in(sK5(X0,X1,X1),X0)
| sP0(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_170])]) ).
fof(f2592,plain,
( ! [X0] : sP0(sK2,set_intersection2(X0,sK1),set_intersection2(X0,sK1))
| ~ spl8_137
| ~ spl8_170 ),
inference(duplicate_literal_removal,[],[f2558]) ).
fof(f2558,plain,
( ! [X0] :
( sP0(sK2,set_intersection2(X0,sK1),set_intersection2(X0,sK1))
| sP0(sK2,set_intersection2(X0,sK1),set_intersection2(X0,sK1)) )
| ~ spl8_137
| ~ spl8_170 ),
inference(resolution,[],[f2460,f1722]) ).
fof(f1722,plain,
( ! [X0,X1] :
( in(sK5(X0,set_intersection2(X1,sK1),set_intersection2(X1,sK1)),sK2)
| sP0(X0,set_intersection2(X1,sK1),set_intersection2(X1,sK1)) )
| ~ spl8_137 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f2460,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,X1,X1),X0)
| sP0(X0,X1,X1) )
| ~ spl8_170 ),
inference(avatar_component_clause,[],[f2459]) ).
fof(f3428,plain,
( spl8_221
| ~ spl8_10
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f1322,f1079,f111,f3426]) ).
fof(f3426,plain,
( spl8_221
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_221])]) ).
fof(f1079,plain,
( spl8_105
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X2)
| in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_105])]) ).
fof(f1322,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_105 ),
inference(resolution,[],[f1080,f112]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| in(sK5(X0,set_intersection2(X1,X2),X3),X2)
| sP0(X0,set_intersection2(X1,X2),X3) )
| ~ spl8_105 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f3424,plain,
( spl8_220
| ~ spl8_10
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f1282,f1075,f111,f3422]) ).
fof(f3422,plain,
( spl8_220
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_220])]) ).
fof(f1075,plain,
( spl8_104
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_104])]) ).
fof(f1282,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X3) )
| ~ spl8_10
| ~ spl8_104 ),
inference(resolution,[],[f1076,f112]) ).
fof(f1076,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_104 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f3420,plain,
( spl8_219
| ~ spl8_10
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f1249,f1071,f111,f3418]) ).
fof(f3418,plain,
( spl8_219
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_219])]) ).
fof(f1071,plain,
( spl8_103
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_103])]) ).
fof(f1249,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X3) )
| ~ spl8_10
| ~ spl8_103 ),
inference(resolution,[],[f1072,f112]) ).
fof(f1072,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_103 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f3416,plain,
( spl8_218
| ~ spl8_10
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1217,f1067,f111,f3414]) ).
fof(f3414,plain,
( spl8_218
<=> ! [X0,X3,X2,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_218])]) ).
fof(f1067,plain,
( spl8_102
<=> ! [X0,X3,X2,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X0)
| in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_102])]) ).
fof(f1217,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_102 ),
inference(resolution,[],[f1068,f112]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| in(sK5(set_intersection2(X0,X1),X2,X3),X0)
| sP0(set_intersection2(X0,X1),X2,X3) )
| ~ spl8_102 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f3412,plain,
( spl8_217
| ~ spl8_10
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1177,f1063,f111,f3410]) ).
fof(f3410,plain,
( spl8_217
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_217])]) ).
fof(f1063,plain,
( spl8_101
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X1)
| in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).
fof(f1177,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_101 ),
inference(resolution,[],[f1064,f112]) ).
fof(f1064,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| in(sK5(X0,set_intersection2(X1,X2),X3),X1)
| sP0(X0,set_intersection2(X1,X2),X3) )
| ~ spl8_101 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f3408,plain,
( spl8_216
| ~ spl8_10
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f1127,f1059,f111,f3406]) ).
fof(f3406,plain,
( spl8_216
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_216])]) ).
fof(f1059,plain,
( spl8_100
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_100])]) ).
fof(f1127,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_100 ),
inference(resolution,[],[f1060,f112]) ).
fof(f1060,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_100 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f3404,plain,
( spl8_215
| ~ spl8_10
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f1088,f1055,f111,f3402]) ).
fof(f3402,plain,
( spl8_215
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_215])]) ).
fof(f1055,plain,
( spl8_99
<=> ! [X0,X3,X2,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_99])]) ).
fof(f1088,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_99 ),
inference(resolution,[],[f1056,f112]) ).
fof(f1056,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_99 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f3400,plain,
( spl8_214
| ~ spl8_73
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1048,f1031,f639,f3398]) ).
fof(f639,plain,
( spl8_73
<=> ! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2),X0)
| subset(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).
fof(f1031,plain,
( spl8_97
<=> ! [X2,X0,X1] :
( ~ in(sK4(X0,set_intersection2(X1,X2)),X1)
| ~ in(sK4(X0,set_intersection2(X1,X2)),X2)
| subset(X0,set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_97])]) ).
fof(f1048,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X0)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X0)) )
| ~ spl8_73
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f1035]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X0)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X0))
| subset(set_intersection2(X0,X1),set_intersection2(X2,X0)) )
| ~ spl8_73
| ~ spl8_97 ),
inference(resolution,[],[f1032,f640]) ).
fof(f640,plain,
( ! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2),X0)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl8_73 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f1032,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(X0,set_intersection2(X1,X2)),X2)
| ~ in(sK4(X0,set_intersection2(X1,X2)),X1)
| subset(X0,set_intersection2(X1,X2)) )
| ~ spl8_97 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f3396,plain,
( spl8_213
| ~ spl8_74
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1046,f1031,f643,f3394]) ).
fof(f643,plain,
( spl8_74
<=> ! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2),X1)
| subset(set_intersection2(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_74])]) ).
fof(f1046,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X1)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X1)) )
| ~ spl8_74
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f1037]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(set_intersection2(X0,X1),set_intersection2(X2,X1)),X2)
| subset(set_intersection2(X0,X1),set_intersection2(X2,X1))
| subset(set_intersection2(X0,X1),set_intersection2(X2,X1)) )
| ~ spl8_74
| ~ spl8_97 ),
inference(resolution,[],[f1032,f644]) ).
fof(f644,plain,
( ! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2),X1)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl8_74 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f3392,plain,
( spl8_212
| ~ spl8_11
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f933,f741,f117,f3390]) ).
fof(f3390,plain,
( spl8_212
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ in(X2,sK5(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_212])]) ).
fof(f741,plain,
( spl8_90
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ in(X2,sK5(X0,X1,set_intersection2(X2,X3))) )
| ~ spl8_11
| ~ spl8_90 ),
inference(resolution,[],[f742,f118]) ).
fof(f742,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_90 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f3388,plain,
( spl8_211
| ~ spl8_138
| ~ spl8_170 ),
inference(avatar_split_clause,[],[f2589,f2459,f1725,f3386]) ).
fof(f3386,plain,
( spl8_211
<=> ! [X0] : sP0(sK2,set_intersection2(sK1,X0),set_intersection2(sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_211])]) ).
fof(f1725,plain,
( spl8_138
<=> ! [X0,X1] :
( sP0(X0,set_intersection2(sK1,X1),set_intersection2(sK1,X1))
| in(sK5(X0,set_intersection2(sK1,X1),set_intersection2(sK1,X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_138])]) ).
fof(f2589,plain,
( ! [X0] : sP0(sK2,set_intersection2(sK1,X0),set_intersection2(sK1,X0))
| ~ spl8_138
| ~ spl8_170 ),
inference(duplicate_literal_removal,[],[f2562]) ).
fof(f2562,plain,
( ! [X0] :
( sP0(sK2,set_intersection2(sK1,X0),set_intersection2(sK1,X0))
| sP0(sK2,set_intersection2(sK1,X0),set_intersection2(sK1,X0)) )
| ~ spl8_138
| ~ spl8_170 ),
inference(resolution,[],[f2460,f1726]) ).
fof(f1726,plain,
( ! [X0,X1] :
( in(sK5(X0,set_intersection2(sK1,X1),set_intersection2(sK1,X1)),sK2)
| sP0(X0,set_intersection2(sK1,X1),set_intersection2(sK1,X1)) )
| ~ spl8_138 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f3384,plain,
( spl8_210
| ~ spl8_11
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f917,f737,f117,f3382]) ).
fof(f3382,plain,
( spl8_210
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ in(X3,sK5(X0,X1,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_210])]) ).
fof(f737,plain,
( spl8_89
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).
fof(f917,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ in(X3,sK5(X0,X1,set_intersection2(X2,X3))) )
| ~ spl8_11
| ~ spl8_89 ),
inference(resolution,[],[f738,f118]) ).
fof(f738,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_89 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f3380,plain,
( spl8_209
| ~ spl8_11
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f897,f733,f117,f3378]) ).
fof(f3378,plain,
( spl8_209
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ in(X1,sK5(set_intersection2(X1,X2),X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_209])]) ).
fof(f733,plain,
( spl8_88
<=> ! [X0,X3,X2,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| in(sK5(set_intersection2(X0,X1),X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_88])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ in(X1,sK5(set_intersection2(X1,X2),X3,X0)) )
| ~ spl8_11
| ~ spl8_88 ),
inference(resolution,[],[f734,f118]) ).
fof(f734,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X0)
| ~ empty(X3)
| sP0(set_intersection2(X0,X1),X2,X3) )
| ~ spl8_88 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f3376,plain,
( spl8_208
| ~ spl8_11
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f879,f729,f117,f3374]) ).
fof(f3374,plain,
( spl8_208
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ in(X2,sK5(set_intersection2(X1,X2),X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_208])]) ).
fof(f729,plain,
( spl8_87
<=> ! [X0,X3,X2,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| in(sK5(set_intersection2(X0,X1),X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_87])]) ).
fof(f879,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ in(X2,sK5(set_intersection2(X1,X2),X3,X0)) )
| ~ spl8_11
| ~ spl8_87 ),
inference(resolution,[],[f730,f118]) ).
fof(f730,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X1)
| ~ empty(X3)
| sP0(set_intersection2(X0,X1),X2,X3) )
| ~ spl8_87 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f3372,plain,
( spl8_207
| ~ spl8_11
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f861,f725,f117,f3370]) ).
fof(f3370,plain,
( spl8_207
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ in(X2,sK5(X1,X0,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_207])]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ in(X2,sK5(X1,X0,set_intersection2(X2,X3))) )
| ~ spl8_11
| ~ spl8_86 ),
inference(resolution,[],[f726,f118]) ).
fof(f3368,plain,
( spl8_206
| ~ spl8_11
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f845,f721,f117,f3366]) ).
fof(f3366,plain,
( spl8_206
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ in(X3,sK5(X1,X0,set_intersection2(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_206])]) ).
fof(f845,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ in(X3,sK5(X1,X0,set_intersection2(X2,X3))) )
| ~ spl8_11
| ~ spl8_85 ),
inference(resolution,[],[f722,f118]) ).
fof(f3364,plain,
( spl8_205
| ~ spl8_11
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f826,f717,f117,f3362]) ).
fof(f3362,plain,
( spl8_205
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ in(X2,sK5(X1,set_intersection2(X2,X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_205])]) ).
fof(f826,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ in(X2,sK5(X1,set_intersection2(X2,X3),X0)) )
| ~ spl8_11
| ~ spl8_84 ),
inference(resolution,[],[f718,f118]) ).
fof(f3360,plain,
( spl8_204
| ~ spl8_11
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f810,f713,f117,f3358]) ).
fof(f3358,plain,
( spl8_204
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ in(X3,sK5(X1,set_intersection2(X2,X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_204])]) ).
fof(f810,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ in(X3,sK5(X1,set_intersection2(X2,X3),X0)) )
| ~ spl8_11
| ~ spl8_83 ),
inference(resolution,[],[f714,f118]) ).
fof(f3356,plain,
( spl8_203
| ~ spl8_35
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f688,f643,f292,f3354]) ).
fof(f3354,plain,
( spl8_203
<=> ! [X0,X3,X2,X1] :
( subset(set_intersection2(X0,set_intersection2(X1,X2)),X3)
| in(sK4(set_intersection2(X0,set_intersection2(X1,X2)),X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_203])]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1] :
( subset(set_intersection2(X0,set_intersection2(X1,X2)),X3)
| in(sK4(set_intersection2(X0,set_intersection2(X1,X2)),X3),X1) )
| ~ spl8_35
| ~ spl8_74 ),
inference(resolution,[],[f644,f293]) ).
fof(f3352,plain,
( spl8_202
| ~ spl8_37
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f687,f643,f301,f3350]) ).
fof(f3350,plain,
( spl8_202
<=> ! [X0,X3,X2,X1] :
( subset(set_intersection2(X0,set_intersection2(X1,X2)),X3)
| in(sK4(set_intersection2(X0,set_intersection2(X1,X2)),X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_202])]) ).
fof(f687,plain,
( ! [X2,X3,X0,X1] :
( subset(set_intersection2(X0,set_intersection2(X1,X2)),X3)
| in(sK4(set_intersection2(X0,set_intersection2(X1,X2)),X3),X2) )
| ~ spl8_37
| ~ spl8_74 ),
inference(resolution,[],[f644,f302]) ).
fof(f3348,plain,
( spl8_201
| ~ spl8_35
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f670,f639,f292,f3346]) ).
fof(f3346,plain,
( spl8_201
<=> ! [X0,X3,X2,X1] :
( subset(set_intersection2(set_intersection2(X0,X1),X2),X3)
| in(sK4(set_intersection2(set_intersection2(X0,X1),X2),X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_201])]) ).
fof(f670,plain,
( ! [X2,X3,X0,X1] :
( subset(set_intersection2(set_intersection2(X0,X1),X2),X3)
| in(sK4(set_intersection2(set_intersection2(X0,X1),X2),X3),X0) )
| ~ spl8_35
| ~ spl8_73 ),
inference(resolution,[],[f640,f293]) ).
fof(f3236,plain,
( spl8_200
| ~ spl8_37
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f669,f639,f301,f3234]) ).
fof(f3234,plain,
( spl8_200
<=> ! [X0,X3,X2,X1] :
( subset(set_intersection2(set_intersection2(X0,X1),X2),X3)
| in(sK4(set_intersection2(set_intersection2(X0,X1),X2),X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_200])]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1] :
( subset(set_intersection2(set_intersection2(X0,X1),X2),X3)
| in(sK4(set_intersection2(set_intersection2(X0,X1),X2),X3),X1) )
| ~ spl8_37
| ~ spl8_73 ),
inference(resolution,[],[f640,f302]) ).
fof(f3082,plain,
( spl8_199
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f1362,f1083,f3080]) ).
fof(f3080,plain,
( spl8_199
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X1),X1)
| sP0(set_intersection2(X0,X1),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_199])]) ).
fof(f1362,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X1),X1)
| sP0(set_intersection2(X0,X1),X2,X1) )
| ~ spl8_106 ),
inference(factoring,[],[f1084]) ).
fof(f3078,plain,
( spl8_198
| ~ spl8_19
| ~ spl8_183 ),
inference(avatar_split_clause,[],[f2764,f2658,f171,f3075]) ).
fof(f3075,plain,
( spl8_198
<=> sK1 = set_intersection2(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_198])]) ).
fof(f171,plain,
( spl8_19
<=> ! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f2658,plain,
( spl8_183
<=> sP0(sK2,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_183])]) ).
fof(f2764,plain,
( sK1 = set_intersection2(sK1,sK2)
| ~ spl8_19
| ~ spl8_183 ),
inference(resolution,[],[f2660,f172]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| set_intersection2(X0,X1) = X2 )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f2660,plain,
( sP0(sK2,sK1,sK1)
| ~ spl8_183 ),
inference(avatar_component_clause,[],[f2658]) ).
fof(f3073,plain,
( spl8_197
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f1328,f1079,f3071]) ).
fof(f3071,plain,
( spl8_197
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X2),X2)
| sP0(X0,set_intersection2(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_197])]) ).
fof(f1328,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X2),X2)
| sP0(X0,set_intersection2(X1,X2),X2) )
| ~ spl8_105 ),
inference(factoring,[],[f1080]) ).
fof(f3069,plain,
( spl8_196
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f1295,f1075,f3067]) ).
fof(f3067,plain,
( spl8_196
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X1)),X1)
| sP0(X0,X1,set_intersection2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_196])]) ).
fof(f1295,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X1)),X1)
| sP0(X0,X1,set_intersection2(X2,X1)) )
| ~ spl8_104 ),
inference(factoring,[],[f1076]) ).
fof(f3065,plain,
( spl8_195
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f1262,f1071,f3063]) ).
fof(f3063,plain,
( spl8_195
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X0)),X0)
| sP0(X0,X1,set_intersection2(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_195])]) ).
fof(f1262,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X0)),X0)
| sP0(X0,X1,set_intersection2(X2,X0)) )
| ~ spl8_103 ),
inference(factoring,[],[f1072]) ).
fof(f3061,plain,
( spl8_194
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1223,f1067,f3059]) ).
fof(f3059,plain,
( spl8_194
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X0),X0)
| sP0(set_intersection2(X0,X1),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_194])]) ).
fof(f1223,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X0),X0)
| sP0(set_intersection2(X0,X1),X2,X0) )
| ~ spl8_102 ),
inference(factoring,[],[f1068]) ).
fof(f3057,plain,
( spl8_193
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1183,f1063,f3055]) ).
fof(f3055,plain,
( spl8_193
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X1),X1)
| sP0(X0,set_intersection2(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_193])]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X1),X1)
| sP0(X0,set_intersection2(X1,X2),X1) )
| ~ spl8_101 ),
inference(factoring,[],[f1064]) ).
fof(f3053,plain,
( spl8_192
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f1140,f1059,f3051]) ).
fof(f3051,plain,
( spl8_192
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X1,X2)),X1)
| sP0(X0,X1,set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_192])]) ).
fof(f1140,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X1,X2)),X1)
| sP0(X0,X1,set_intersection2(X1,X2)) )
| ~ spl8_100 ),
inference(factoring,[],[f1060]) ).
fof(f3049,plain,
( spl8_191
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f1101,f1055,f3047]) ).
fof(f3047,plain,
( spl8_191
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X0,X2)),X0)
| sP0(X0,X1,set_intersection2(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_191])]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X0,X2)),X0)
| sP0(X0,X1,set_intersection2(X0,X2)) )
| ~ spl8_99 ),
inference(factoring,[],[f1056]) ).
fof(f2788,plain,
( spl8_190
| ~ spl8_16
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1049,f1031,f153,f2786]) ).
fof(f2786,plain,
( spl8_190
<=> ! [X0,X1] :
( ~ in(sK4(X0,set_intersection2(X1,X0)),X1)
| subset(X0,set_intersection2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_190])]) ).
fof(f153,plain,
( spl8_16
<=> ! [X0,X1] :
( subset(X0,X1)
| in(sK4(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f1049,plain,
( ! [X0,X1] :
( ~ in(sK4(X0,set_intersection2(X1,X0)),X1)
| subset(X0,set_intersection2(X1,X0)) )
| ~ spl8_16
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f1034]) ).
fof(f1034,plain,
( ! [X0,X1] :
( ~ in(sK4(X0,set_intersection2(X1,X0)),X1)
| subset(X0,set_intersection2(X1,X0))
| subset(X0,set_intersection2(X1,X0)) )
| ~ spl8_16
| ~ spl8_97 ),
inference(resolution,[],[f1032,f154]) ).
fof(f154,plain,
( ! [X0,X1] :
( in(sK4(X0,X1),X0)
| subset(X0,X1) )
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f2784,plain,
( spl8_189
| ~ spl8_11
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f685,f643,f117,f2782]) ).
fof(f2782,plain,
( spl8_189
<=> ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(X1,sK4(set_intersection2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_189])]) ).
fof(f685,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(X1,sK4(set_intersection2(X0,X1),X2)) )
| ~ spl8_11
| ~ spl8_74 ),
inference(resolution,[],[f644,f118]) ).
fof(f2780,plain,
( spl8_188
| ~ spl8_11
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f667,f639,f117,f2778]) ).
fof(f2778,plain,
( spl8_188
<=> ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(X0,sK4(set_intersection2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_188])]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(X0,sK4(set_intersection2(X0,X1),X2)) )
| ~ spl8_11
| ~ spl8_73 ),
inference(resolution,[],[f640,f118]) ).
fof(f2776,plain,
( spl8_187
| ~ spl8_43
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f577,f557,f372,f2774]) ).
fof(f2774,plain,
( spl8_187
<=> ! [X2,X0,X1] :
( in(sK5(sK7,X0,X1),X2)
| sP0(sK7,X0,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_187])]) ).
fof(f372,plain,
( spl8_43
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).
fof(f557,plain,
( spl8_64
<=> ! [X0,X1] :
( ~ in(X0,sK7)
| in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).
fof(f577,plain,
( ! [X2,X0,X1] :
( in(sK5(sK7,X0,X1),X2)
| sP0(sK7,X0,X1)
| ~ empty(X1) )
| ~ spl8_43
| ~ spl8_64 ),
inference(resolution,[],[f558,f373]) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl8_43 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f558,plain,
( ! [X0,X1] :
( ~ in(X0,sK7)
| in(X0,X1) )
| ~ spl8_64 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f2772,plain,
( spl8_186
| ~ spl8_41
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f575,f557,f364,f2770]) ).
fof(f2770,plain,
( spl8_186
<=> ! [X2,X0,X1] :
( in(sK5(X0,sK7,X1),X2)
| sP0(X0,sK7,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_186])]) ).
fof(f364,plain,
( spl8_41
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).
fof(f575,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,sK7,X1),X2)
| sP0(X0,sK7,X1)
| ~ empty(X1) )
| ~ spl8_41
| ~ spl8_64 ),
inference(resolution,[],[f558,f365]) ).
fof(f365,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl8_41 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f2768,plain,
( spl8_185
| ~ spl8_42
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f572,f557,f368,f2766]) ).
fof(f2766,plain,
( spl8_185
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,sK7),X2)
| sP0(X0,X1,sK7)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_185])]) ).
fof(f368,plain,
( spl8_42
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,sK7),X2)
| sP0(X0,X1,sK7)
| ~ empty(X1) )
| ~ spl8_42
| ~ spl8_64 ),
inference(resolution,[],[f558,f369]) ).
fof(f369,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X1) )
| ~ spl8_42 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f2760,plain,
( spl8_184
| ~ spl8_44
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f571,f557,f376,f2758]) ).
fof(f2758,plain,
( spl8_184
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,sK7),X2)
| sP0(X0,X1,sK7)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_184])]) ).
fof(f376,plain,
( spl8_44
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).
fof(f571,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,sK7),X2)
| sP0(X0,X1,sK7)
| ~ empty(X0) )
| ~ spl8_44
| ~ spl8_64 ),
inference(resolution,[],[f558,f377]) ).
fof(f377,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X0) )
| ~ spl8_44 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f2661,plain,
( spl8_183
| ~ spl8_49
| ~ spl8_170 ),
inference(avatar_split_clause,[],[f2586,f2459,f428,f2658]) ).
fof(f428,plain,
( spl8_49
<=> ! [X0] :
( sP0(X0,sK1,sK1)
| in(sK5(X0,sK1,sK1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).
fof(f2586,plain,
( sP0(sK2,sK1,sK1)
| ~ spl8_49
| ~ spl8_170 ),
inference(duplicate_literal_removal,[],[f2566]) ).
fof(f2566,plain,
( sP0(sK2,sK1,sK1)
| sP0(sK2,sK1,sK1)
| ~ spl8_49
| ~ spl8_170 ),
inference(resolution,[],[f2460,f429]) ).
fof(f429,plain,
( ! [X0] :
( in(sK5(X0,sK1,sK1),sK2)
| sP0(X0,sK1,sK1) )
| ~ spl8_49 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f2509,plain,
( spl8_182
| ~ spl8_10
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1015,f967,f111,f2507]) ).
fof(f2507,plain,
( spl8_182
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_182])]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_96 ),
inference(resolution,[],[f968,f112]) ).
fof(f2505,plain,
( spl8_181
| ~ spl8_10
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1000,f963,f111,f2503]) ).
fof(f2503,plain,
( spl8_181
<=> ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_181])]) ).
fof(f1000,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_95 ),
inference(resolution,[],[f964,f112]) ).
fof(f2501,plain,
( spl8_180
| ~ spl8_10
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f984,f959,f111,f2499]) ).
fof(f2499,plain,
( spl8_180
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_180])]) ).
fof(f984,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_94 ),
inference(resolution,[],[f960,f112]) ).
fof(f2497,plain,
( spl8_179
| ~ spl8_10
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f971,f955,f111,f2495]) ).
fof(f2495,plain,
( spl8_179
<=> ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_179])]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_93 ),
inference(resolution,[],[f956,f112]) ).
fof(f2493,plain,
( spl8_178
| ~ spl8_10
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f934,f741,f111,f2491]) ).
fof(f2491,plain,
( spl8_178
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_178])]) ).
fof(f934,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_90 ),
inference(resolution,[],[f742,f112]) ).
fof(f2489,plain,
( spl8_177
| ~ spl8_10
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f918,f737,f111,f2487]) ).
fof(f2487,plain,
( spl8_177
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_177])]) ).
fof(f918,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X3) )
| ~ spl8_10
| ~ spl8_89 ),
inference(resolution,[],[f738,f112]) ).
fof(f2485,plain,
( spl8_176
| ~ spl8_10
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f898,f733,f111,f2483]) ).
fof(f2483,plain,
( spl8_176
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_176])]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_88 ),
inference(resolution,[],[f734,f112]) ).
fof(f2481,plain,
( spl8_175
| ~ spl8_10
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f880,f729,f111,f2479]) ).
fof(f2479,plain,
( spl8_175
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_175])]) ).
fof(f880,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,X2),X3,X0)
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_87 ),
inference(resolution,[],[f730,f112]) ).
fof(f2477,plain,
( spl8_174
| ~ spl8_10
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f862,f725,f111,f2475]) ).
fof(f2475,plain,
( spl8_174
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_174])]) ).
fof(f862,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_86 ),
inference(resolution,[],[f726,f112]) ).
fof(f2473,plain,
( spl8_173
| ~ spl8_10
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f846,f721,f111,f2471]) ).
fof(f2471,plain,
( spl8_173
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_173])]) ).
fof(f846,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,X3))
| ~ empty(X3) )
| ~ spl8_10
| ~ spl8_85 ),
inference(resolution,[],[f722,f112]) ).
fof(f2469,plain,
( spl8_172
| ~ spl8_10
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f827,f717,f111,f2467]) ).
fof(f2467,plain,
( spl8_172
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_172])]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_84 ),
inference(resolution,[],[f718,f112]) ).
fof(f2465,plain,
( spl8_171
| ~ spl8_10
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f811,f713,f111,f2463]) ).
fof(f2463,plain,
( spl8_171
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_171])]) ).
fof(f811,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,X3),X0)
| ~ empty(X3) )
| ~ spl8_10
| ~ spl8_83 ),
inference(resolution,[],[f714,f112]) ).
fof(f2461,plain,
( spl8_170
| ~ spl8_38
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f772,f705,f326,f2459]) ).
fof(f326,plain,
( spl8_38
<=> ! [X0,X1] :
( in(sK5(X0,X1,X1),X1)
| sP0(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).
fof(f705,plain,
( spl8_81
<=> ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(sK5(X0,X1,X1),X0)
| ~ in(sK5(X0,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,X1,X1),X0)
| sP0(X0,X1,X1) )
| ~ spl8_38
| ~ spl8_81 ),
inference(duplicate_literal_removal,[],[f749]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,X1,X1),X0)
| sP0(X0,X1,X1)
| sP0(X0,X1,X1) )
| ~ spl8_38
| ~ spl8_81 ),
inference(resolution,[],[f706,f327]) ).
fof(f327,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,X1),X1)
| sP0(X0,X1,X1) )
| ~ spl8_38 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,X1,X1),X1)
| ~ in(sK5(X0,X1,X1),X0)
| sP0(X0,X1,X1) )
| ~ spl8_81 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f2448,plain,
( spl8_169
| ~ spl8_19
| ~ spl8_68 ),
inference(avatar_split_clause,[],[f606,f596,f171,f2446]) ).
fof(f2446,plain,
( spl8_169
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| set_intersection2(X2,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_169])]) ).
fof(f596,plain,
( spl8_68
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).
fof(f606,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| set_intersection2(X2,X1) = X0 )
| ~ spl8_19
| ~ spl8_68 ),
inference(resolution,[],[f597,f172]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X0) )
| ~ spl8_68 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f2444,plain,
( ~ spl8_168
| spl8_2
| ~ spl8_164 ),
inference(avatar_split_clause,[],[f2350,f2333,f75,f2441]) ).
fof(f2441,plain,
( spl8_168
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_168])]) ).
fof(f2333,plain,
( spl8_164
<=> ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_164])]) ).
fof(f2350,plain,
( ~ empty(sK3)
| spl8_2
| ~ spl8_164 ),
inference(resolution,[],[f2334,f77]) ).
fof(f2334,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ empty(X1) )
| ~ spl8_164 ),
inference(avatar_component_clause,[],[f2333]) ).
fof(f2439,plain,
( spl8_167
| ~ spl8_19
| ~ spl8_67 ),
inference(avatar_split_clause,[],[f602,f592,f171,f2437]) ).
fof(f2437,plain,
( spl8_167
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| set_intersection2(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_167])]) ).
fof(f592,plain,
( spl8_67
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).
fof(f602,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| set_intersection2(X1,X2) = X0 )
| ~ spl8_19
| ~ spl8_67 ),
inference(resolution,[],[f593,f172]) ).
fof(f593,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X1) )
| ~ spl8_67 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f2365,plain,
( spl8_166
| ~ spl8_53
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f1433,f1381,f448,f2363]) ).
fof(f2363,plain,
( spl8_166
<=> ! [X0,X1] :
( ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),X1)
| ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),X0)
| ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),sK1)
| sP0(X0,sK1,set_intersection2(X1,sK2))
| ~ empty(set_intersection2(X1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_166])]) ).
fof(f448,plain,
( spl8_53
<=> ! [X0,X1] :
( sP0(X0,sK1,X1)
| ~ empty(X1)
| in(sK5(X0,sK1,X1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).
fof(f1381,plain,
( spl8_108
<=> ! [X0,X3,X2,X1] :
( ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_108])]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),X1)
| ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),X0)
| ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),sK1)
| sP0(X0,sK1,set_intersection2(X1,sK2))
| ~ empty(set_intersection2(X1,sK2)) )
| ~ spl8_53
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f1401]) ).
fof(f1401,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),X1)
| ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),X0)
| ~ in(sK5(X0,sK1,set_intersection2(X1,sK2)),sK1)
| sP0(X0,sK1,set_intersection2(X1,sK2))
| ~ empty(set_intersection2(X1,sK2))
| sP0(X0,sK1,set_intersection2(X1,sK2)) )
| ~ spl8_53
| ~ spl8_108 ),
inference(resolution,[],[f1382,f449]) ).
fof(f449,plain,
( ! [X0,X1] :
( in(sK5(X0,sK1,X1),sK2)
| ~ empty(X1)
| sP0(X0,sK1,X1) )
| ~ spl8_53 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f1382,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_108 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f2361,plain,
( spl8_165
| ~ spl8_55
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f1428,f1381,f456,f2359]) ).
fof(f2359,plain,
( spl8_165
<=> ! [X0,X1] :
( ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),X1)
| ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),sK1)
| ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),X0)
| sP0(sK1,X0,set_intersection2(X1,sK2))
| ~ empty(set_intersection2(X1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_165])]) ).
fof(f456,plain,
( spl8_55
<=> ! [X0,X1] :
( sP0(sK1,X0,X1)
| ~ empty(X1)
| in(sK5(sK1,X0,X1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).
fof(f1428,plain,
( ! [X0,X1] :
( ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),X1)
| ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),sK1)
| ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),X0)
| sP0(sK1,X0,set_intersection2(X1,sK2))
| ~ empty(set_intersection2(X1,sK2)) )
| ~ spl8_55
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f1409]) ).
fof(f1409,plain,
( ! [X0,X1] :
( ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),X1)
| ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),sK1)
| ~ in(sK5(sK1,X0,set_intersection2(X1,sK2)),X0)
| sP0(sK1,X0,set_intersection2(X1,sK2))
| ~ empty(set_intersection2(X1,sK2))
| sP0(sK1,X0,set_intersection2(X1,sK2)) )
| ~ spl8_55
| ~ spl8_108 ),
inference(resolution,[],[f1382,f457]) ).
fof(f457,plain,
( ! [X0,X1] :
( in(sK5(sK1,X0,X1),sK2)
| ~ empty(X1)
| sP0(sK1,X0,X1) )
| ~ spl8_55 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f2335,plain,
( spl8_164
| ~ spl8_10
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f686,f643,f111,f2333]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_74 ),
inference(resolution,[],[f644,f112]) ).
fof(f2330,plain,
( spl8_163
| ~ spl8_10
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f668,f639,f111,f2328]) ).
fof(f2328,plain,
( spl8_163
<=> ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_163])]) ).
fof(f668,plain,
( ! [X2,X0,X1] :
( subset(set_intersection2(X0,X1),X2)
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_73 ),
inference(resolution,[],[f640,f112]) ).
fof(f2326,plain,
( spl8_162
| ~ spl8_19
| ~ spl8_66 ),
inference(avatar_split_clause,[],[f590,f565,f171,f2324]) ).
fof(f2324,plain,
( spl8_162
<=> ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_162])]) ).
fof(f565,plain,
( spl8_66
<=> ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_66])]) ).
fof(f590,plain,
( ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X1,X0) = X0 )
| ~ spl8_19
| ~ spl8_66 ),
inference(resolution,[],[f566,f172]) ).
fof(f566,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ empty(X0) )
| ~ spl8_66 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f2322,plain,
( spl8_161
| ~ spl8_19
| ~ spl8_65 ),
inference(avatar_split_clause,[],[f586,f561,f171,f2320]) ).
fof(f2320,plain,
( spl8_161
<=> ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_161])]) ).
fof(f561,plain,
( spl8_65
<=> ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).
fof(f586,plain,
( ! [X0,X1] :
( ~ empty(X0)
| set_intersection2(X0,X1) = X0 )
| ~ spl8_19
| ~ spl8_65 ),
inference(resolution,[],[f562,f172]) ).
fof(f562,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ empty(X1) )
| ~ spl8_65 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f1877,plain,
( spl8_160
| ~ spl8_24
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f1360,f1083,f197,f1875]) ).
fof(f1875,plain,
( spl8_160
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,sK1),X1,X2),X2)
| sP0(set_intersection2(X0,sK1),X1,X2)
| in(sK5(set_intersection2(X0,sK1),X1,X2),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_160])]) ).
fof(f197,plain,
( spl8_24
<=> ! [X0] :
( ~ in(X0,sK1)
| in(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f1360,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,sK1),X1,X2),X2)
| sP0(set_intersection2(X0,sK1),X1,X2)
| in(sK5(set_intersection2(X0,sK1),X1,X2),sK2) )
| ~ spl8_24
| ~ spl8_106 ),
inference(resolution,[],[f1084,f198]) ).
fof(f198,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(X0,sK2) )
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f1866,plain,
( spl8_159
| ~ spl8_24
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f1326,f1079,f197,f1864]) ).
fof(f1864,plain,
( spl8_159
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,sK1),X2),X2)
| sP0(X0,set_intersection2(X1,sK1),X2)
| in(sK5(X0,set_intersection2(X1,sK1),X2),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_159])]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,sK1),X2),X2)
| sP0(X0,set_intersection2(X1,sK1),X2)
| in(sK5(X0,set_intersection2(X1,sK1),X2),sK2) )
| ~ spl8_24
| ~ spl8_105 ),
inference(resolution,[],[f1080,f198]) ).
fof(f1862,plain,
( spl8_158
| ~ spl8_24
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f1285,f1075,f197,f1860]) ).
fof(f1860,plain,
( spl8_158
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,sK1)),X1)
| sP0(X0,X1,set_intersection2(X2,sK1))
| in(sK5(X0,X1,set_intersection2(X2,sK1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_158])]) ).
fof(f1285,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,sK1)),X1)
| sP0(X0,X1,set_intersection2(X2,sK1))
| in(sK5(X0,X1,set_intersection2(X2,sK1)),sK2) )
| ~ spl8_24
| ~ spl8_104 ),
inference(resolution,[],[f1076,f198]) ).
fof(f1858,plain,
( spl8_157
| ~ spl8_24
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f1252,f1071,f197,f1856]) ).
fof(f1856,plain,
( spl8_157
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,sK1)),X0)
| sP0(X0,X1,set_intersection2(X2,sK1))
| in(sK5(X0,X1,set_intersection2(X2,sK1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_157])]) ).
fof(f1252,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,sK1)),X0)
| sP0(X0,X1,set_intersection2(X2,sK1))
| in(sK5(X0,X1,set_intersection2(X2,sK1)),sK2) )
| ~ spl8_24
| ~ spl8_103 ),
inference(resolution,[],[f1072,f198]) ).
fof(f1854,plain,
( spl8_156
| ~ spl8_24
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1221,f1067,f197,f1852]) ).
fof(f1852,plain,
( spl8_156
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(sK1,X0),X1,X2),X2)
| sP0(set_intersection2(sK1,X0),X1,X2)
| in(sK5(set_intersection2(sK1,X0),X1,X2),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_156])]) ).
fof(f1221,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(sK1,X0),X1,X2),X2)
| sP0(set_intersection2(sK1,X0),X1,X2)
| in(sK5(set_intersection2(sK1,X0),X1,X2),sK2) )
| ~ spl8_24
| ~ spl8_102 ),
inference(resolution,[],[f1068,f198]) ).
fof(f1850,plain,
( spl8_155
| ~ spl8_24
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1181,f1063,f197,f1848]) ).
fof(f1848,plain,
( spl8_155
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(sK1,X1),X2),X2)
| sP0(X0,set_intersection2(sK1,X1),X2)
| in(sK5(X0,set_intersection2(sK1,X1),X2),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_155])]) ).
fof(f1181,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(sK1,X1),X2),X2)
| sP0(X0,set_intersection2(sK1,X1),X2)
| in(sK5(X0,set_intersection2(sK1,X1),X2),sK2) )
| ~ spl8_24
| ~ spl8_101 ),
inference(resolution,[],[f1064,f198]) ).
fof(f1846,plain,
( spl8_154
| ~ spl8_24
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f1130,f1059,f197,f1844]) ).
fof(f1844,plain,
( spl8_154
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(sK1,X2)),X1)
| sP0(X0,X1,set_intersection2(sK1,X2))
| in(sK5(X0,X1,set_intersection2(sK1,X2)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_154])]) ).
fof(f1130,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(sK1,X2)),X1)
| sP0(X0,X1,set_intersection2(sK1,X2))
| in(sK5(X0,X1,set_intersection2(sK1,X2)),sK2) )
| ~ spl8_24
| ~ spl8_100 ),
inference(resolution,[],[f1060,f198]) ).
fof(f1842,plain,
( spl8_153
| ~ spl8_24
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f1091,f1055,f197,f1840]) ).
fof(f1840,plain,
( spl8_153
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(sK1,X2)),X0)
| sP0(X0,X1,set_intersection2(sK1,X2))
| in(sK5(X0,X1,set_intersection2(sK1,X2)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_153])]) ).
fof(f1091,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,set_intersection2(sK1,X2)),X0)
| sP0(X0,X1,set_intersection2(sK1,X2))
| in(sK5(X0,X1,set_intersection2(sK1,X2)),sK2) )
| ~ spl8_24
| ~ spl8_99 ),
inference(resolution,[],[f1056,f198]) ).
fof(f1838,plain,
( spl8_152
| ~ spl8_35
| ~ spl8_60 ),
inference(avatar_split_clause,[],[f527,f488,f292,f1836]) ).
fof(f1836,plain,
( spl8_152
<=> ! [X2,X0,X1] :
( in(sK5(sK1,X0,set_intersection2(X1,X2)),sK2)
| sP0(sK1,X0,set_intersection2(X1,X2))
| in(sK5(sK1,X0,set_intersection2(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_152])]) ).
fof(f488,plain,
( spl8_60
<=> ! [X0,X1] :
( in(sK5(sK1,X0,X1),sK2)
| in(sK5(sK1,X0,X1),X1)
| sP0(sK1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_60])]) ).
fof(f527,plain,
( ! [X2,X0,X1] :
( in(sK5(sK1,X0,set_intersection2(X1,X2)),sK2)
| sP0(sK1,X0,set_intersection2(X1,X2))
| in(sK5(sK1,X0,set_intersection2(X1,X2)),X1) )
| ~ spl8_35
| ~ spl8_60 ),
inference(resolution,[],[f489,f293]) ).
fof(f489,plain,
( ! [X0,X1] :
( in(sK5(sK1,X0,X1),sK2)
| in(sK5(sK1,X0,X1),X1)
| sP0(sK1,X0,X1) )
| ~ spl8_60 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f1834,plain,
( spl8_151
| ~ spl8_37
| ~ spl8_60 ),
inference(avatar_split_clause,[],[f526,f488,f301,f1832]) ).
fof(f1832,plain,
( spl8_151
<=> ! [X2,X0,X1] :
( in(sK5(sK1,X0,set_intersection2(X1,X2)),sK2)
| sP0(sK1,X0,set_intersection2(X1,X2))
| in(sK5(sK1,X0,set_intersection2(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_151])]) ).
fof(f526,plain,
( ! [X2,X0,X1] :
( in(sK5(sK1,X0,set_intersection2(X1,X2)),sK2)
| sP0(sK1,X0,set_intersection2(X1,X2))
| in(sK5(sK1,X0,set_intersection2(X1,X2)),X2) )
| ~ spl8_37
| ~ spl8_60 ),
inference(resolution,[],[f489,f302]) ).
fof(f1830,plain,
( spl8_150
| ~ spl8_35
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f516,f484,f292,f1828]) ).
fof(f1828,plain,
( spl8_150
<=> ! [X2,X0,X1] :
( in(sK5(X0,sK1,set_intersection2(X1,X2)),sK2)
| sP0(X0,sK1,set_intersection2(X1,X2))
| in(sK5(X0,sK1,set_intersection2(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_150])]) ).
fof(f484,plain,
( spl8_59
<=> ! [X0,X1] :
( in(sK5(X0,sK1,X1),sK2)
| in(sK5(X0,sK1,X1),X1)
| sP0(X0,sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).
fof(f516,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,sK1,set_intersection2(X1,X2)),sK2)
| sP0(X0,sK1,set_intersection2(X1,X2))
| in(sK5(X0,sK1,set_intersection2(X1,X2)),X1) )
| ~ spl8_35
| ~ spl8_59 ),
inference(resolution,[],[f485,f293]) ).
fof(f485,plain,
( ! [X0,X1] :
( in(sK5(X0,sK1,X1),sK2)
| in(sK5(X0,sK1,X1),X1)
| sP0(X0,sK1,X1) )
| ~ spl8_59 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f1826,plain,
( spl8_149
| ~ spl8_19
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1595,f1449,f171,f1823]) ).
fof(f1823,plain,
( spl8_149
<=> sK1 = set_intersection2(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_149])]) ).
fof(f1449,plain,
( spl8_109
<=> sP0(sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_109])]) ).
fof(f1595,plain,
( sK1 = set_intersection2(sK2,sK1)
| ~ spl8_19
| ~ spl8_109 ),
inference(resolution,[],[f1451,f172]) ).
fof(f1451,plain,
( sP0(sK1,sK2,sK1)
| ~ spl8_109 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1821,plain,
( spl8_148
| ~ spl8_37
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f515,f484,f301,f1819]) ).
fof(f1819,plain,
( spl8_148
<=> ! [X2,X0,X1] :
( in(sK5(X0,sK1,set_intersection2(X1,X2)),sK2)
| sP0(X0,sK1,set_intersection2(X1,X2))
| in(sK5(X0,sK1,set_intersection2(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_148])]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,sK1,set_intersection2(X1,X2)),sK2)
| sP0(X0,sK1,set_intersection2(X1,X2))
| in(sK5(X0,sK1,set_intersection2(X1,X2)),X2) )
| ~ spl8_37
| ~ spl8_59 ),
inference(resolution,[],[f485,f302]) ).
fof(f1817,plain,
( spl8_147
| ~ spl8_35
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f506,f480,f292,f1815]) ).
fof(f1815,plain,
( spl8_147
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),sK1),sK2)
| sP0(X0,set_intersection2(X1,X2),sK1)
| in(sK5(X0,set_intersection2(X1,X2),sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_147])]) ).
fof(f480,plain,
( spl8_58
<=> ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| in(sK5(X0,X1,sK1),X1)
| sP0(X0,X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),sK1),sK2)
| sP0(X0,set_intersection2(X1,X2),sK1)
| in(sK5(X0,set_intersection2(X1,X2),sK1),X1) )
| ~ spl8_35
| ~ spl8_58 ),
inference(resolution,[],[f481,f293]) ).
fof(f481,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| in(sK5(X0,X1,sK1),X1)
| sP0(X0,X1,sK1) )
| ~ spl8_58 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f1813,plain,
( spl8_146
| ~ spl8_37
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f505,f480,f301,f1811]) ).
fof(f1811,plain,
( spl8_146
<=> ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),sK1),sK2)
| sP0(X0,set_intersection2(X1,X2),sK1)
| in(sK5(X0,set_intersection2(X1,X2),sK1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_146])]) ).
fof(f505,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),sK1),sK2)
| sP0(X0,set_intersection2(X1,X2),sK1)
| in(sK5(X0,set_intersection2(X1,X2),sK1),X2) )
| ~ spl8_37
| ~ spl8_58 ),
inference(resolution,[],[f481,f302]) ).
fof(f1809,plain,
( spl8_145
| ~ spl8_35
| ~ spl8_57 ),
inference(avatar_split_clause,[],[f497,f476,f292,f1807]) ).
fof(f1807,plain,
( spl8_145
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,sK1),sK2)
| sP0(set_intersection2(X0,X1),X2,sK1)
| in(sK5(set_intersection2(X0,X1),X2,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_145])]) ).
fof(f476,plain,
( spl8_57
<=> ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| in(sK5(X0,X1,sK1),X0)
| sP0(X0,X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,sK1),sK2)
| sP0(set_intersection2(X0,X1),X2,sK1)
| in(sK5(set_intersection2(X0,X1),X2,sK1),X0) )
| ~ spl8_35
| ~ spl8_57 ),
inference(resolution,[],[f477,f293]) ).
fof(f477,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| in(sK5(X0,X1,sK1),X0)
| sP0(X0,X1,sK1) )
| ~ spl8_57 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f1805,plain,
( spl8_144
| ~ spl8_37
| ~ spl8_57 ),
inference(avatar_split_clause,[],[f496,f476,f301,f1803]) ).
fof(f1803,plain,
( spl8_144
<=> ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,sK1),sK2)
| sP0(set_intersection2(X0,X1),X2,sK1)
| in(sK5(set_intersection2(X0,X1),X2,sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_144])]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,sK1),sK2)
| sP0(set_intersection2(X0,X1),X2,sK1)
| in(sK5(set_intersection2(X0,X1),X2,sK1),X1) )
| ~ spl8_37
| ~ spl8_57 ),
inference(resolution,[],[f477,f302]) ).
fof(f1786,plain,
( spl8_143
| ~ spl8_17
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f697,f643,f157,f1784]) ).
fof(f1784,plain,
( spl8_143
<=> ! [X0,X1] : subset(set_intersection2(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_143])]) ).
fof(f157,plain,
( spl8_17
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ in(sK4(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f697,plain,
( ! [X0,X1] : subset(set_intersection2(X0,X1),X1)
| ~ spl8_17
| ~ spl8_74 ),
inference(duplicate_literal_removal,[],[f684]) ).
fof(f684,plain,
( ! [X0,X1] :
( subset(set_intersection2(X0,X1),X1)
| subset(set_intersection2(X0,X1),X1) )
| ~ spl8_17
| ~ spl8_74 ),
inference(resolution,[],[f644,f158]) ).
fof(f158,plain,
( ! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f1782,plain,
( spl8_142
| ~ spl8_17
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f679,f639,f157,f1780]) ).
fof(f1780,plain,
( spl8_142
<=> ! [X0,X1] : subset(set_intersection2(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_142])]) ).
fof(f679,plain,
( ! [X0,X1] : subset(set_intersection2(X0,X1),X0)
| ~ spl8_17
| ~ spl8_73 ),
inference(duplicate_literal_removal,[],[f666]) ).
fof(f666,plain,
( ! [X0,X1] :
( subset(set_intersection2(X0,X1),X0)
| subset(set_intersection2(X0,X1),X0) )
| ~ spl8_17
| ~ spl8_73 ),
inference(resolution,[],[f640,f158]) ).
fof(f1765,plain,
( spl8_141
| ~ spl8_16
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f1546,f1512,f153,f1762]) ).
fof(f1762,plain,
( spl8_141
<=> subset(sK1,set_intersection2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_141])]) ).
fof(f1512,plain,
( spl8_118
<=> ! [X0] :
( ~ in(sK4(sK1,set_intersection2(X0,sK2)),X0)
| subset(sK1,set_intersection2(X0,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_118])]) ).
fof(f1546,plain,
( subset(sK1,set_intersection2(sK1,sK2))
| ~ spl8_16
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f1538]) ).
fof(f1538,plain,
( subset(sK1,set_intersection2(sK1,sK2))
| subset(sK1,set_intersection2(sK1,sK2))
| ~ spl8_16
| ~ spl8_118 ),
inference(resolution,[],[f1513,f154]) ).
fof(f1513,plain,
( ! [X0] :
( ~ in(sK4(sK1,set_intersection2(X0,sK2)),X0)
| subset(sK1,set_intersection2(X0,sK2)) )
| ~ spl8_118 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1735,plain,
( spl8_140
| ~ spl8_24
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1018,f967,f197,f1733]) ).
fof(f1733,plain,
( spl8_140
<=> ! [X0,X1] :
( sP0(set_intersection2(sK1,X0),X1,set_intersection2(sK1,X0))
| in(sK5(set_intersection2(sK1,X0),X1,set_intersection2(sK1,X0)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_140])]) ).
fof(f1018,plain,
( ! [X0,X1] :
( sP0(set_intersection2(sK1,X0),X1,set_intersection2(sK1,X0))
| in(sK5(set_intersection2(sK1,X0),X1,set_intersection2(sK1,X0)),sK2) )
| ~ spl8_24
| ~ spl8_96 ),
inference(resolution,[],[f968,f198]) ).
fof(f1731,plain,
( spl8_139
| ~ spl8_24
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1003,f963,f197,f1729]) ).
fof(f1729,plain,
( spl8_139
<=> ! [X0,X1] :
( sP0(set_intersection2(X0,sK1),X1,set_intersection2(X0,sK1))
| in(sK5(set_intersection2(X0,sK1),X1,set_intersection2(X0,sK1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_139])]) ).
fof(f1003,plain,
( ! [X0,X1] :
( sP0(set_intersection2(X0,sK1),X1,set_intersection2(X0,sK1))
| in(sK5(set_intersection2(X0,sK1),X1,set_intersection2(X0,sK1)),sK2) )
| ~ spl8_24
| ~ spl8_95 ),
inference(resolution,[],[f964,f198]) ).
fof(f1727,plain,
( spl8_138
| ~ spl8_24
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f987,f959,f197,f1725]) ).
fof(f987,plain,
( ! [X0,X1] :
( sP0(X0,set_intersection2(sK1,X1),set_intersection2(sK1,X1))
| in(sK5(X0,set_intersection2(sK1,X1),set_intersection2(sK1,X1)),sK2) )
| ~ spl8_24
| ~ spl8_94 ),
inference(resolution,[],[f960,f198]) ).
fof(f1723,plain,
( spl8_137
| ~ spl8_24
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f974,f955,f197,f1721]) ).
fof(f974,plain,
( ! [X0,X1] :
( sP0(X0,set_intersection2(X1,sK1),set_intersection2(X1,sK1))
| in(sK5(X0,set_intersection2(X1,sK1),set_intersection2(X1,sK1)),sK2) )
| ~ spl8_24
| ~ spl8_93 ),
inference(resolution,[],[f956,f198]) ).
fof(f1683,plain,
( spl8_136
| ~ spl8_17
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f1537,f1508,f157,f1681]) ).
fof(f1681,plain,
( spl8_136
<=> ! [X0] : subset(set_intersection2(X0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_136])]) ).
fof(f1537,plain,
( ! [X0] : subset(set_intersection2(X0,sK1),sK2)
| ~ spl8_17
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f1528]) ).
fof(f1528,plain,
( ! [X0] :
( subset(set_intersection2(X0,sK1),sK2)
| subset(set_intersection2(X0,sK1),sK2) )
| ~ spl8_17
| ~ spl8_117 ),
inference(resolution,[],[f1509,f158]) ).
fof(f1623,plain,
( spl8_135
| ~ spl8_17
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f1525,f1504,f157,f1621]) ).
fof(f1621,plain,
( spl8_135
<=> ! [X0] : subset(set_intersection2(sK1,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_135])]) ).
fof(f1525,plain,
( ! [X0] : subset(set_intersection2(sK1,X0),sK2)
| ~ spl8_17
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f1515]) ).
fof(f1515,plain,
( ! [X0] :
( subset(set_intersection2(sK1,X0),sK2)
| subset(set_intersection2(sK1,X0),sK2) )
| ~ spl8_17
| ~ spl8_116 ),
inference(resolution,[],[f1505,f158]) ).
fof(f1619,plain,
( spl8_134
| ~ spl8_24
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f937,f741,f197,f1617]) ).
fof(f1617,plain,
( spl8_134
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(sK1,X2))
| in(sK5(X0,X1,set_intersection2(sK1,X2)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_134])]) ).
fof(f937,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(sK1,X2))
| in(sK5(X0,X1,set_intersection2(sK1,X2)),sK2) )
| ~ spl8_24
| ~ spl8_90 ),
inference(resolution,[],[f742,f198]) ).
fof(f1615,plain,
( spl8_133
| ~ spl8_24
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f921,f737,f197,f1613]) ).
fof(f1613,plain,
( spl8_133
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,sK1))
| in(sK5(X0,X1,set_intersection2(X2,sK1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_133])]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,set_intersection2(X2,sK1))
| in(sK5(X0,X1,set_intersection2(X2,sK1)),sK2) )
| ~ spl8_24
| ~ spl8_89 ),
inference(resolution,[],[f738,f198]) ).
fof(f1611,plain,
( spl8_132
| ~ spl8_24
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f902,f733,f197,f1609]) ).
fof(f1609,plain,
( spl8_132
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(sK1,X1),X2,X0)
| in(sK5(set_intersection2(sK1,X1),X2,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_132])]) ).
fof(f902,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(sK1,X1),X2,X0)
| in(sK5(set_intersection2(sK1,X1),X2,X0),sK2) )
| ~ spl8_24
| ~ spl8_88 ),
inference(resolution,[],[f734,f198]) ).
fof(f1607,plain,
( spl8_131
| ~ spl8_24
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f884,f729,f197,f1605]) ).
fof(f1605,plain,
( spl8_131
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,sK1),X2,X0)
| in(sK5(set_intersection2(X1,sK1),X2,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_131])]) ).
fof(f884,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(set_intersection2(X1,sK1),X2,X0)
| in(sK5(set_intersection2(X1,sK1),X2,X0),sK2) )
| ~ spl8_24
| ~ spl8_87 ),
inference(resolution,[],[f730,f198]) ).
fof(f1603,plain,
( spl8_130
| ~ spl8_24
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f865,f725,f197,f1601]) ).
fof(f1601,plain,
( spl8_130
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(sK1,X2))
| in(sK5(X1,X0,set_intersection2(sK1,X2)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_130])]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(sK1,X2))
| in(sK5(X1,X0,set_intersection2(sK1,X2)),sK2) )
| ~ spl8_24
| ~ spl8_86 ),
inference(resolution,[],[f726,f198]) ).
fof(f1599,plain,
( spl8_129
| ~ spl8_24
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f849,f721,f197,f1597]) ).
fof(f1597,plain,
( spl8_129
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,sK1))
| in(sK5(X1,X0,set_intersection2(X2,sK1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_129])]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,set_intersection2(X2,sK1))
| in(sK5(X1,X0,set_intersection2(X2,sK1)),sK2) )
| ~ spl8_24
| ~ spl8_85 ),
inference(resolution,[],[f722,f198]) ).
fof(f1591,plain,
( spl8_109
| ~ spl8_39
| spl8_110 ),
inference(avatar_split_clause,[],[f1463,f1453,f330,f1449]) ).
fof(f330,plain,
( spl8_39
<=> ! [X0,X1] :
( in(sK5(X0,X1,X0),X0)
| sP0(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).
fof(f1453,plain,
( spl8_110
<=> in(sK5(sK1,sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_110])]) ).
fof(f1463,plain,
( sP0(sK1,sK2,sK1)
| ~ spl8_39
| spl8_110 ),
inference(resolution,[],[f1455,f331]) ).
fof(f331,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,X0),X0)
| sP0(X0,X1,X0) )
| ~ spl8_39 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1455,plain,
( ~ in(sK5(sK1,sK2,sK1),sK1)
| spl8_110 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f1590,plain,
( spl8_128
| ~ spl8_24
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f831,f717,f197,f1588]) ).
fof(f1588,plain,
( spl8_128
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(sK1,X2),X0)
| in(sK5(X1,set_intersection2(sK1,X2),X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_128])]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(sK1,X2),X0)
| in(sK5(X1,set_intersection2(sK1,X2),X0),sK2) )
| ~ spl8_24
| ~ spl8_84 ),
inference(resolution,[],[f718,f198]) ).
fof(f1586,plain,
( spl8_127
| ~ spl8_24
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f815,f713,f197,f1584]) ).
fof(f1584,plain,
( spl8_127
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,sK1),X0)
| in(sK5(X1,set_intersection2(X2,sK1),X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_127])]) ).
fof(f815,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| sP0(X1,set_intersection2(X2,sK1),X0)
| in(sK5(X1,set_intersection2(X2,sK1),X0),sK2) )
| ~ spl8_24
| ~ spl8_83 ),
inference(resolution,[],[f714,f198]) ).
fof(f1582,plain,
( spl8_126
| ~ spl8_11
| ~ spl8_60 ),
inference(avatar_split_clause,[],[f523,f488,f117,f1580]) ).
fof(f1580,plain,
( spl8_126
<=> ! [X0,X1] :
( in(sK5(sK1,X0,X1),sK2)
| sP0(sK1,X0,X1)
| ~ in(X1,sK5(sK1,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_126])]) ).
fof(f523,plain,
( ! [X0,X1] :
( in(sK5(sK1,X0,X1),sK2)
| sP0(sK1,X0,X1)
| ~ in(X1,sK5(sK1,X0,X1)) )
| ~ spl8_11
| ~ spl8_60 ),
inference(resolution,[],[f489,f118]) ).
fof(f1578,plain,
( spl8_125
| ~ spl8_11
| ~ spl8_60 ),
inference(avatar_split_clause,[],[f520,f488,f117,f1576]) ).
fof(f1576,plain,
( spl8_125
<=> ! [X0,X1] :
( in(sK5(sK1,X0,X1),X1)
| sP0(sK1,X0,X1)
| ~ in(sK2,sK5(sK1,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_125])]) ).
fof(f520,plain,
( ! [X0,X1] :
( in(sK5(sK1,X0,X1),X1)
| sP0(sK1,X0,X1)
| ~ in(sK2,sK5(sK1,X0,X1)) )
| ~ spl8_11
| ~ spl8_60 ),
inference(resolution,[],[f489,f118]) ).
fof(f1574,plain,
( spl8_124
| ~ spl8_11
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f512,f484,f117,f1572]) ).
fof(f1572,plain,
( spl8_124
<=> ! [X0,X1] :
( in(sK5(X0,sK1,X1),sK2)
| sP0(X0,sK1,X1)
| ~ in(X1,sK5(X0,sK1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_124])]) ).
fof(f512,plain,
( ! [X0,X1] :
( in(sK5(X0,sK1,X1),sK2)
| sP0(X0,sK1,X1)
| ~ in(X1,sK5(X0,sK1,X1)) )
| ~ spl8_11
| ~ spl8_59 ),
inference(resolution,[],[f485,f118]) ).
fof(f1570,plain,
( spl8_123
| ~ spl8_11
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f509,f484,f117,f1568]) ).
fof(f1568,plain,
( spl8_123
<=> ! [X0,X1] :
( in(sK5(X0,sK1,X1),X1)
| sP0(X0,sK1,X1)
| ~ in(sK2,sK5(X0,sK1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_123])]) ).
fof(f509,plain,
( ! [X0,X1] :
( in(sK5(X0,sK1,X1),X1)
| sP0(X0,sK1,X1)
| ~ in(sK2,sK5(X0,sK1,X1)) )
| ~ spl8_11
| ~ spl8_59 ),
inference(resolution,[],[f485,f118]) ).
fof(f1566,plain,
( spl8_122
| ~ spl8_11
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f502,f480,f117,f1564]) ).
fof(f1564,plain,
( spl8_122
<=> ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| sP0(X0,X1,sK1)
| ~ in(X1,sK5(X0,X1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).
fof(f502,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| sP0(X0,X1,sK1)
| ~ in(X1,sK5(X0,X1,sK1)) )
| ~ spl8_11
| ~ spl8_58 ),
inference(resolution,[],[f481,f118]) ).
fof(f1562,plain,
( spl8_121
| ~ spl8_11
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f500,f480,f117,f1560]) ).
fof(f1560,plain,
( spl8_121
<=> ! [X0,X1] :
( in(sK5(X0,X1,sK1),X1)
| sP0(X0,X1,sK1)
| ~ in(sK2,sK5(X0,X1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).
fof(f500,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),X1)
| sP0(X0,X1,sK1)
| ~ in(sK2,sK5(X0,X1,sK1)) )
| ~ spl8_11
| ~ spl8_58 ),
inference(resolution,[],[f481,f118]) ).
fof(f1558,plain,
( spl8_120
| ~ spl8_11
| ~ spl8_57 ),
inference(avatar_split_clause,[],[f493,f476,f117,f1556]) ).
fof(f1556,plain,
( spl8_120
<=> ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| sP0(X0,X1,sK1)
| ~ in(X0,sK5(X0,X1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_120])]) ).
fof(f493,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| sP0(X0,X1,sK1)
| ~ in(X0,sK5(X0,X1,sK1)) )
| ~ spl8_11
| ~ spl8_57 ),
inference(resolution,[],[f477,f118]) ).
fof(f1554,plain,
( spl8_119
| ~ spl8_11
| ~ spl8_57 ),
inference(avatar_split_clause,[],[f491,f476,f117,f1552]) ).
fof(f1552,plain,
( spl8_119
<=> ! [X0,X1] :
( in(sK5(X0,X1,sK1),X0)
| sP0(X0,X1,sK1)
| ~ in(sK2,sK5(X0,X1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_119])]) ).
fof(f491,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),X0)
| sP0(X0,X1,sK1)
| ~ in(sK2,sK5(X0,X1,sK1)) )
| ~ spl8_11
| ~ spl8_57 ),
inference(resolution,[],[f477,f118]) ).
fof(f1514,plain,
( spl8_118
| ~ spl8_29
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1047,f1031,f247,f1512]) ).
fof(f247,plain,
( spl8_29
<=> ! [X0] :
( in(sK4(sK1,X0),sK2)
| subset(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
fof(f1047,plain,
( ! [X0] :
( ~ in(sK4(sK1,set_intersection2(X0,sK2)),X0)
| subset(sK1,set_intersection2(X0,sK2)) )
| ~ spl8_29
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f1036]) ).
fof(f1036,plain,
( ! [X0] :
( ~ in(sK4(sK1,set_intersection2(X0,sK2)),X0)
| subset(sK1,set_intersection2(X0,sK2))
| subset(sK1,set_intersection2(X0,sK2)) )
| ~ spl8_29
| ~ spl8_97 ),
inference(resolution,[],[f1032,f248]) ).
fof(f248,plain,
( ! [X0] :
( in(sK4(sK1,X0),sK2)
| subset(sK1,X0) )
| ~ spl8_29 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f1510,plain,
( spl8_117
| ~ spl8_24
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f689,f643,f197,f1508]) ).
fof(f689,plain,
( ! [X0,X1] :
( subset(set_intersection2(X0,sK1),X1)
| in(sK4(set_intersection2(X0,sK1),X1),sK2) )
| ~ spl8_24
| ~ spl8_74 ),
inference(resolution,[],[f644,f198]) ).
fof(f1506,plain,
( spl8_116
| ~ spl8_24
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f671,f639,f197,f1504]) ).
fof(f671,plain,
( ! [X0,X1] :
( subset(set_intersection2(sK1,X0),X1)
| in(sK4(set_intersection2(sK1,X0),X1),sK2) )
| ~ spl8_24
| ~ spl8_73 ),
inference(resolution,[],[f640,f198]) ).
fof(f1502,plain,
( ~ spl8_115
| ~ spl8_66
| spl8_109 ),
inference(avatar_split_clause,[],[f1457,f1449,f565,f1499]) ).
fof(f1499,plain,
( spl8_115
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_115])]) ).
fof(f1457,plain,
( ~ empty(sK1)
| ~ spl8_66
| spl8_109 ),
inference(resolution,[],[f1450,f566]) ).
fof(f1450,plain,
( ~ sP0(sK1,sK2,sK1)
| spl8_109 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1497,plain,
( spl8_114
| ~ spl8_11
| ~ spl8_56 ),
inference(avatar_split_clause,[],[f473,f460,f117,f1495]) ).
fof(f1495,plain,
( spl8_114
<=> ! [X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,sK1)
| ~ in(sK2,sK5(X0,X1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_114])]) ).
fof(f460,plain,
( spl8_56
<=> ! [X0,X1] :
( sP0(X0,X1,sK1)
| ~ empty(X0)
| in(sK5(X0,X1,sK1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).
fof(f473,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sP0(X0,X1,sK1)
| ~ in(sK2,sK5(X0,X1,sK1)) )
| ~ spl8_11
| ~ spl8_56 ),
inference(resolution,[],[f461,f118]) ).
fof(f461,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| ~ empty(X0)
| sP0(X0,X1,sK1) )
| ~ spl8_56 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f1493,plain,
( spl8_113
| ~ spl8_11
| ~ spl8_55 ),
inference(avatar_split_clause,[],[f469,f456,f117,f1491]) ).
fof(f1491,plain,
( spl8_113
<=> ! [X0,X1] :
( ~ empty(X0)
| sP0(sK1,X1,X0)
| ~ in(sK2,sK5(sK1,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_113])]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sP0(sK1,X1,X0)
| ~ in(sK2,sK5(sK1,X1,X0)) )
| ~ spl8_11
| ~ spl8_55 ),
inference(resolution,[],[f457,f118]) ).
fof(f1489,plain,
( spl8_112
| ~ spl8_11
| ~ spl8_54 ),
inference(avatar_split_clause,[],[f467,f452,f117,f1487]) ).
fof(f1487,plain,
( spl8_112
<=> ! [X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,sK1)
| ~ in(sK2,sK5(X1,X0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_112])]) ).
fof(f452,plain,
( spl8_54
<=> ! [X0,X1] :
( sP0(X0,X1,sK1)
| ~ empty(X1)
| in(sK5(X0,X1,sK1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).
fof(f467,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sP0(X1,X0,sK1)
| ~ in(sK2,sK5(X1,X0,sK1)) )
| ~ spl8_11
| ~ spl8_54 ),
inference(resolution,[],[f453,f118]) ).
fof(f453,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| ~ empty(X1)
| sP0(X0,X1,sK1) )
| ~ spl8_54 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f1485,plain,
( spl8_111
| ~ spl8_11
| ~ spl8_53 ),
inference(avatar_split_clause,[],[f463,f448,f117,f1483]) ).
fof(f1483,plain,
( spl8_111
<=> ! [X0,X1] :
( ~ empty(X0)
| sP0(X1,sK1,X0)
| ~ in(sK2,sK5(X1,sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_111])]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sP0(X1,sK1,X0)
| ~ in(sK2,sK5(X1,sK1,X0)) )
| ~ spl8_11
| ~ spl8_53 ),
inference(resolution,[],[f449,f118]) ).
fof(f1456,plain,
( spl8_109
| ~ spl8_110
| ~ spl8_50
| ~ spl8_82 ),
inference(avatar_split_clause,[],[f798,f709,f432,f1453,f1449]) ).
fof(f432,plain,
( spl8_50
<=> ! [X0] :
( sP0(sK1,X0,sK1)
| in(sK5(sK1,X0,sK1),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).
fof(f709,plain,
( spl8_82
<=> ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(sK5(X0,X1,X0),X0)
| ~ in(sK5(X0,X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).
fof(f798,plain,
( ~ in(sK5(sK1,sK2,sK1),sK1)
| sP0(sK1,sK2,sK1)
| ~ spl8_50
| ~ spl8_82 ),
inference(duplicate_literal_removal,[],[f791]) ).
fof(f791,plain,
( ~ in(sK5(sK1,sK2,sK1),sK1)
| sP0(sK1,sK2,sK1)
| sP0(sK1,sK2,sK1)
| ~ spl8_50
| ~ spl8_82 ),
inference(resolution,[],[f710,f433]) ).
fof(f433,plain,
( ! [X0] :
( in(sK5(sK1,X0,sK1),sK2)
| sP0(sK1,X0,sK1) )
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f710,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,X1,X0),X1)
| ~ in(sK5(X0,X1,X0),X0)
| sP0(X0,X1,X0) )
| ~ spl8_82 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1383,plain,
( spl8_108
| ~ spl8_26
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f356,f348,f215,f1381]) ).
fof(f215,plain,
( spl8_26
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f356,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| ~ in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_26
| ~ spl8_40 ),
inference(resolution,[],[f349,f216]) ).
fof(f216,plain,
( ! [X2,X0,X1] :
( ~ in(sK5(X0,X1,X2),X2)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2) )
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f1167,plain,
( spl8_107
| ~ spl8_60 ),
inference(avatar_split_clause,[],[f529,f488,f1165]) ).
fof(f1165,plain,
( spl8_107
<=> ! [X0] :
( in(sK5(sK1,X0,sK2),sK2)
| sP0(sK1,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_107])]) ).
fof(f529,plain,
( ! [X0] :
( in(sK5(sK1,X0,sK2),sK2)
| sP0(sK1,X0,sK2) )
| ~ spl8_60 ),
inference(factoring,[],[f489]) ).
fof(f1085,plain,
( spl8_106
| ~ spl8_25
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f319,f301,f201,f1083]) ).
fof(f201,plain,
( spl8_25
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f319,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X1)
| in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3) )
| ~ spl8_25
| ~ spl8_37 ),
inference(resolution,[],[f302,f202]) ).
fof(f202,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| in(sK5(X0,X1,X2),X0)
| sP0(X0,X1,X2) )
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f1081,plain,
( spl8_105
| ~ spl8_23
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f318,f301,f193,f1079]) ).
fof(f193,plain,
( spl8_23
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK5(X0,X1,X2),X1)
| in(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f318,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X2)
| in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3) )
| ~ spl8_23
| ~ spl8_37 ),
inference(resolution,[],[f302,f194]) ).
fof(f194,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2) )
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f1077,plain,
( spl8_104
| ~ spl8_23
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f317,f301,f193,f1075]) ).
fof(f317,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_23
| ~ spl8_37 ),
inference(resolution,[],[f302,f194]) ).
fof(f1073,plain,
( spl8_103
| ~ spl8_25
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f316,f301,f201,f1071]) ).
fof(f316,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X3)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_25
| ~ spl8_37 ),
inference(resolution,[],[f302,f202]) ).
fof(f1069,plain,
( spl8_102
| ~ spl8_25
| ~ spl8_35 ),
inference(avatar_split_clause,[],[f308,f292,f201,f1067]) ).
fof(f308,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(set_intersection2(X0,X1),X2,X3),X0)
| in(sK5(set_intersection2(X0,X1),X2,X3),X3)
| sP0(set_intersection2(X0,X1),X2,X3) )
| ~ spl8_25
| ~ spl8_35 ),
inference(resolution,[],[f293,f202]) ).
fof(f1065,plain,
( spl8_101
| ~ spl8_23
| ~ spl8_35 ),
inference(avatar_split_clause,[],[f307,f292,f193,f1063]) ).
fof(f307,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,set_intersection2(X1,X2),X3),X1)
| in(sK5(X0,set_intersection2(X1,X2),X3),X3)
| sP0(X0,set_intersection2(X1,X2),X3) )
| ~ spl8_23
| ~ spl8_35 ),
inference(resolution,[],[f293,f194]) ).
fof(f1061,plain,
( spl8_100
| ~ spl8_23
| ~ spl8_35 ),
inference(avatar_split_clause,[],[f306,f292,f193,f1059]) ).
fof(f306,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X1)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_23
| ~ spl8_35 ),
inference(resolution,[],[f293,f194]) ).
fof(f1057,plain,
( spl8_99
| ~ spl8_25
| ~ spl8_35 ),
inference(avatar_split_clause,[],[f305,f292,f201,f1055]) ).
fof(f305,plain,
( ! [X2,X3,X0,X1] :
( in(sK5(X0,X1,set_intersection2(X2,X3)),X2)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X0)
| sP0(X0,X1,set_intersection2(X2,X3)) )
| ~ spl8_25
| ~ spl8_35 ),
inference(resolution,[],[f293,f202]) ).
fof(f1053,plain,
( spl8_98
| ~ spl8_59 ),
inference(avatar_split_clause,[],[f518,f484,f1051]) ).
fof(f1051,plain,
( spl8_98
<=> ! [X0] :
( in(sK5(X0,sK1,sK2),sK2)
| sP0(X0,sK1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_98])]) ).
fof(f518,plain,
( ! [X0] :
( in(sK5(X0,sK1,sK2),sK2)
| sP0(X0,sK1,sK2) )
| ~ spl8_59 ),
inference(factoring,[],[f485]) ).
fof(f1033,plain,
( spl8_97
| ~ spl8_17
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f355,f348,f157,f1031]) ).
fof(f355,plain,
( ! [X2,X0,X1] :
( ~ in(sK4(X0,set_intersection2(X1,X2)),X1)
| ~ in(sK4(X0,set_intersection2(X1,X2)),X2)
| subset(X0,set_intersection2(X1,X2)) )
| ~ spl8_17
| ~ spl8_40 ),
inference(resolution,[],[f349,f158]) ).
fof(f969,plain,
( spl8_96
| ~ spl8_35
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f344,f330,f292,f967]) ).
fof(f344,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X0) )
| ~ spl8_35
| ~ spl8_39 ),
inference(resolution,[],[f331,f293]) ).
fof(f965,plain,
( spl8_95
| ~ spl8_37
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f343,f330,f301,f963]) ).
fof(f343,plain,
( ! [X2,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,set_intersection2(X0,X1))
| in(sK5(set_intersection2(X0,X1),X2,set_intersection2(X0,X1)),X1) )
| ~ spl8_37
| ~ spl8_39 ),
inference(resolution,[],[f331,f302]) ).
fof(f961,plain,
( spl8_94
| ~ spl8_35
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f337,f326,f292,f959]) ).
fof(f337,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X1) )
| ~ spl8_35
| ~ spl8_38 ),
inference(resolution,[],[f327,f293]) ).
fof(f957,plain,
( spl8_93
| ~ spl8_37
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f336,f326,f301,f955]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),set_intersection2(X1,X2))
| in(sK5(X0,set_intersection2(X1,X2),set_intersection2(X1,X2)),X2) )
| ~ spl8_37
| ~ spl8_38 ),
inference(resolution,[],[f327,f302]) ).
fof(f953,plain,
( spl8_92
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f508,f480,f951]) ).
fof(f951,plain,
( spl8_92
<=> ! [X0] :
( in(sK5(X0,sK2,sK1),sK2)
| sP0(X0,sK2,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_92])]) ).
fof(f508,plain,
( ! [X0] :
( in(sK5(X0,sK2,sK1),sK2)
| sP0(X0,sK2,sK1) )
| ~ spl8_58 ),
inference(factoring,[],[f481]) ).
fof(f747,plain,
( spl8_91
| ~ spl8_57 ),
inference(avatar_split_clause,[],[f499,f476,f745]) ).
fof(f745,plain,
( spl8_91
<=> ! [X0] :
( in(sK5(sK2,X0,sK1),sK2)
| sP0(sK2,X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_91])]) ).
fof(f499,plain,
( ! [X0] :
( in(sK5(sK2,X0,sK1),sK2)
| sP0(sK2,X0,sK1) )
| ~ spl8_57 ),
inference(factoring,[],[f477]) ).
fof(f743,plain,
( spl8_90
| ~ spl8_35
| ~ spl8_44 ),
inference(avatar_split_clause,[],[f404,f376,f292,f741]) ).
fof(f404,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X2) )
| ~ spl8_35
| ~ spl8_44 ),
inference(resolution,[],[f377,f293]) ).
fof(f739,plain,
( spl8_89
| ~ spl8_37
| ~ spl8_44 ),
inference(avatar_split_clause,[],[f403,f376,f301,f737]) ).
fof(f403,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X0)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X3) )
| ~ spl8_37
| ~ spl8_44 ),
inference(resolution,[],[f377,f302]) ).
fof(f735,plain,
( spl8_88
| ~ spl8_35
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f397,f372,f292,f733]) ).
fof(f397,plain,
( ! [X2,X3,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| in(sK5(set_intersection2(X0,X1),X2,X3),X0) )
| ~ spl8_35
| ~ spl8_43 ),
inference(resolution,[],[f373,f293]) ).
fof(f731,plain,
( spl8_87
| ~ spl8_37
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f396,f372,f301,f729]) ).
fof(f396,plain,
( ! [X2,X3,X0,X1] :
( sP0(set_intersection2(X0,X1),X2,X3)
| ~ empty(X3)
| in(sK5(set_intersection2(X0,X1),X2,X3),X1) )
| ~ spl8_37
| ~ spl8_43 ),
inference(resolution,[],[f373,f302]) ).
fof(f727,plain,
( spl8_86
| ~ spl8_35
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f390,f368,f292,f725]) ).
fof(f390,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X2) )
| ~ spl8_35
| ~ spl8_42 ),
inference(resolution,[],[f369,f293]) ).
fof(f723,plain,
( spl8_85
| ~ spl8_37
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f389,f368,f301,f721]) ).
fof(f389,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,set_intersection2(X2,X3))
| ~ empty(X1)
| in(sK5(X0,X1,set_intersection2(X2,X3)),X3) )
| ~ spl8_37
| ~ spl8_42 ),
inference(resolution,[],[f369,f302]) ).
fof(f719,plain,
( spl8_84
| ~ spl8_35
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f383,f364,f292,f717]) ).
fof(f383,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| in(sK5(X0,set_intersection2(X1,X2),X3),X1) )
| ~ spl8_35
| ~ spl8_41 ),
inference(resolution,[],[f365,f293]) ).
fof(f715,plain,
( spl8_83
| ~ spl8_37
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f382,f364,f301,f713]) ).
fof(f382,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,set_intersection2(X1,X2),X3)
| ~ empty(X3)
| in(sK5(X0,set_intersection2(X1,X2),X3),X2) )
| ~ spl8_37
| ~ spl8_41 ),
inference(resolution,[],[f365,f302]) ).
fof(f711,plain,
( spl8_82
| ~ spl8_26
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f346,f330,f215,f709]) ).
fof(f346,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(sK5(X0,X1,X0),X0)
| ~ in(sK5(X0,X1,X0),X1) )
| ~ spl8_26
| ~ spl8_39 ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(sK5(X0,X1,X0),X0)
| ~ in(sK5(X0,X1,X0),X1)
| sP0(X0,X1,X0) )
| ~ spl8_26
| ~ spl8_39 ),
inference(resolution,[],[f331,f216]) ).
fof(f707,plain,
( spl8_81
| ~ spl8_26
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f339,f326,f215,f705]) ).
fof(f339,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(sK5(X0,X1,X1),X0)
| ~ in(sK5(X0,X1,X1),X1) )
| ~ spl8_26
| ~ spl8_38 ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f335,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(sK5(X0,X1,X1),X0)
| ~ in(sK5(X0,X1,X1),X1)
| sP0(X0,X1,X1) )
| ~ spl8_26
| ~ spl8_38 ),
inference(resolution,[],[f327,f216]) ).
fof(f703,plain,
( spl8_80
| ~ spl8_11
| ~ spl8_50 ),
inference(avatar_split_clause,[],[f437,f432,f117,f701]) ).
fof(f701,plain,
( spl8_80
<=> ! [X0] :
( sP0(sK1,X0,sK1)
| ~ in(sK2,sK5(sK1,X0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).
fof(f437,plain,
( ! [X0] :
( sP0(sK1,X0,sK1)
| ~ in(sK2,sK5(sK1,X0,sK1)) )
| ~ spl8_11
| ~ spl8_50 ),
inference(resolution,[],[f433,f118]) ).
fof(f665,plain,
( spl8_79
| ~ spl8_11
| ~ spl8_44 ),
inference(avatar_split_clause,[],[f400,f376,f117,f663]) ).
fof(f663,plain,
( spl8_79
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X0)
| ~ in(X2,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).
fof(f400,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X0)
| ~ in(X2,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_44 ),
inference(resolution,[],[f377,f118]) ).
fof(f661,plain,
( spl8_78
| ~ spl8_11
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f393,f372,f117,f659]) ).
fof(f659,plain,
( spl8_78
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X0,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X0,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_43 ),
inference(resolution,[],[f373,f118]) ).
fof(f657,plain,
( spl8_77
| ~ spl8_11
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f386,f368,f117,f655]) ).
fof(f655,plain,
( spl8_77
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X1)
| ~ in(X2,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).
fof(f386,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X1)
| ~ in(X2,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_42 ),
inference(resolution,[],[f369,f118]) ).
fof(f653,plain,
( spl8_76
| ~ spl8_11
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f379,f364,f117,f651]) ).
fof(f651,plain,
( spl8_76
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X1,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).
fof(f379,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ in(X1,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_41 ),
inference(resolution,[],[f365,f118]) ).
fof(f649,plain,
( spl8_75
| ~ spl8_11
| ~ spl8_49 ),
inference(avatar_split_clause,[],[f435,f428,f117,f647]) ).
fof(f647,plain,
( spl8_75
<=> ! [X0] :
( sP0(X0,sK1,sK1)
| ~ in(sK2,sK5(X0,sK1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).
fof(f435,plain,
( ! [X0] :
( sP0(X0,sK1,sK1)
| ~ in(sK2,sK5(X0,sK1,sK1)) )
| ~ spl8_11
| ~ spl8_49 ),
inference(resolution,[],[f429,f118]) ).
fof(f645,plain,
( spl8_74
| ~ spl8_16
| ~ spl8_37 ),
inference(avatar_split_clause,[],[f315,f301,f153,f643]) ).
fof(f315,plain,
( ! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2),X1)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl8_16
| ~ spl8_37 ),
inference(resolution,[],[f302,f154]) ).
fof(f641,plain,
( spl8_73
| ~ spl8_16
| ~ spl8_35 ),
inference(avatar_split_clause,[],[f304,f292,f153,f639]) ).
fof(f304,plain,
( ! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2),X0)
| subset(set_intersection2(X0,X1),X2) )
| ~ spl8_16
| ~ spl8_35 ),
inference(resolution,[],[f293,f154]) ).
fof(f629,plain,
( spl8_72
| ~ spl8_11
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f353,f348,f117,f627]) ).
fof(f353,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ in(set_intersection2(X1,X2),X0) )
| ~ spl8_11
| ~ spl8_40 ),
inference(resolution,[],[f349,f118]) ).
fof(f618,plain,
( spl8_71
| ~ spl8_10
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f354,f348,f111,f616]) ).
fof(f616,plain,
( spl8_71
<=> ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ empty(set_intersection2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_71])]) ).
fof(f354,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ empty(set_intersection2(X1,X2)) )
| ~ spl8_10
| ~ spl8_40 ),
inference(resolution,[],[f349,f112]) ).
fof(f614,plain,
( spl8_70
| ~ spl8_11
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f340,f330,f117,f612]) ).
fof(f612,plain,
( spl8_70
<=> ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(X0,sK5(X0,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).
fof(f340,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ in(X0,sK5(X0,X1,X0)) )
| ~ spl8_11
| ~ spl8_39 ),
inference(resolution,[],[f331,f118]) ).
fof(f610,plain,
( spl8_69
| ~ spl8_11
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f333,f326,f117,f608]) ).
fof(f608,plain,
( spl8_69
<=> ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(X1,sK5(X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).
fof(f333,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ in(X1,sK5(X0,X1,X1)) )
| ~ spl8_11
| ~ spl8_38 ),
inference(resolution,[],[f327,f118]) ).
fof(f598,plain,
( spl8_68
| ~ spl8_10
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f394,f372,f111,f596]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_43 ),
inference(resolution,[],[f373,f112]) ).
fof(f594,plain,
( spl8_67
| ~ spl8_10
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f380,f364,f111,f592]) ).
fof(f380,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ empty(X2)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_41 ),
inference(resolution,[],[f365,f112]) ).
fof(f567,plain,
( spl8_66
| ~ spl8_10
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f341,f330,f111,f565]) ).
fof(f341,plain,
( ! [X0,X1] :
( sP0(X0,X1,X0)
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_39 ),
inference(resolution,[],[f331,f112]) ).
fof(f563,plain,
( spl8_65
| ~ spl8_10
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f334,f326,f111,f561]) ).
fof(f334,plain,
( ! [X0,X1] :
( sP0(X0,X1,X1)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_38 ),
inference(resolution,[],[f327,f112]) ).
fof(f559,plain,
( spl8_64
| ~ spl8_20
| ~ spl8_28 ),
inference(avatar_split_clause,[],[f244,f234,f178,f557]) ).
fof(f178,plain,
( spl8_20
<=> ! [X4,X0,X1,X2] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f234,plain,
( spl8_28
<=> ! [X0] : sP0(sK7,X0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
fof(f244,plain,
( ! [X0,X1] :
( ~ in(X0,sK7)
| in(X0,X1) )
| ~ spl8_20
| ~ spl8_28 ),
inference(resolution,[],[f235,f179]) ).
fof(f179,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X2)
| in(X4,X1) )
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f235,plain,
( ! [X0] : sP0(sK7,X0,sK7)
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f555,plain,
( spl8_63
| ~ spl8_11
| ~ spl8_29 ),
inference(avatar_split_clause,[],[f416,f247,f117,f553]) ).
fof(f553,plain,
( spl8_63
<=> ! [X0] :
( subset(sK1,X0)
| ~ in(sK2,sK4(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).
fof(f416,plain,
( ! [X0] :
( subset(sK1,X0)
| ~ in(sK2,sK4(sK1,X0)) )
| ~ spl8_11
| ~ spl8_29 ),
inference(resolution,[],[f248,f118]) ).
fof(f542,plain,
( spl8_62
| ~ spl8_7
| ~ spl8_13 ),
inference(avatar_split_clause,[],[f168,f125,f99,f540]) ).
fof(f540,plain,
( spl8_62
<=> ! [X0] : sK7 = set_intersection2(X0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).
fof(f99,plain,
( spl8_7
<=> ! [X0] : empty_set = set_intersection2(X0,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f125,plain,
( spl8_13
<=> empty_set = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f168,plain,
( ! [X0] : sK7 = set_intersection2(X0,sK7)
| ~ spl8_7
| ~ spl8_13 ),
inference(superposition,[],[f100,f127]) ).
fof(f127,plain,
( empty_set = sK7
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f100,plain,
( ! [X0] : empty_set = set_intersection2(X0,empty_set)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f534,plain,
( spl8_61
| ~ spl8_12
| ~ spl8_30 ),
inference(avatar_split_clause,[],[f267,f251,f121,f532]) ).
fof(f532,plain,
( spl8_61
<=> ! [X0] : sP0(X0,sK7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).
fof(f121,plain,
( spl8_12
<=> ! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f251,plain,
( spl8_30
<=> ! [X0] : sK7 = set_intersection2(sK7,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
fof(f267,plain,
( ! [X0] : sP0(X0,sK7,sK7)
| ~ spl8_12
| ~ spl8_30 ),
inference(superposition,[],[f122,f252]) ).
fof(f252,plain,
( ! [X0] : sK7 = set_intersection2(sK7,X0)
| ~ spl8_30 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f122,plain,
( ! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1))
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f490,plain,
( spl8_60
| ~ spl8_24
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f228,f201,f197,f488]) ).
fof(f228,plain,
( ! [X0,X1] :
( in(sK5(sK1,X0,X1),sK2)
| in(sK5(sK1,X0,X1),X1)
| sP0(sK1,X0,X1) )
| ~ spl8_24
| ~ spl8_25 ),
inference(resolution,[],[f198,f202]) ).
fof(f486,plain,
( spl8_59
| ~ spl8_23
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f227,f197,f193,f484]) ).
fof(f227,plain,
( ! [X0,X1] :
( in(sK5(X0,sK1,X1),sK2)
| in(sK5(X0,sK1,X1),X1)
| sP0(X0,sK1,X1) )
| ~ spl8_23
| ~ spl8_24 ),
inference(resolution,[],[f198,f194]) ).
fof(f482,plain,
( spl8_58
| ~ spl8_23
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f226,f197,f193,f480]) ).
fof(f226,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| in(sK5(X0,X1,sK1),X1)
| sP0(X0,X1,sK1) )
| ~ spl8_23
| ~ spl8_24 ),
inference(resolution,[],[f198,f194]) ).
fof(f478,plain,
( spl8_57
| ~ spl8_24
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f225,f201,f197,f476]) ).
fof(f225,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,sK1),sK2)
| in(sK5(X0,X1,sK1),X0)
| sP0(X0,X1,sK1) )
| ~ spl8_24
| ~ spl8_25 ),
inference(resolution,[],[f198,f202]) ).
fof(f462,plain,
( spl8_56
| ~ spl8_24
| ~ spl8_44 ),
inference(avatar_split_clause,[],[f405,f376,f197,f460]) ).
fof(f405,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK1)
| ~ empty(X0)
| in(sK5(X0,X1,sK1),sK2) )
| ~ spl8_24
| ~ spl8_44 ),
inference(resolution,[],[f377,f198]) ).
fof(f458,plain,
( spl8_55
| ~ spl8_24
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f398,f372,f197,f456]) ).
fof(f398,plain,
( ! [X0,X1] :
( sP0(sK1,X0,X1)
| ~ empty(X1)
| in(sK5(sK1,X0,X1),sK2) )
| ~ spl8_24
| ~ spl8_43 ),
inference(resolution,[],[f373,f198]) ).
fof(f454,plain,
( spl8_54
| ~ spl8_24
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f391,f368,f197,f452]) ).
fof(f391,plain,
( ! [X0,X1] :
( sP0(X0,X1,sK1)
| ~ empty(X1)
| in(sK5(X0,X1,sK1),sK2) )
| ~ spl8_24
| ~ spl8_42 ),
inference(resolution,[],[f369,f198]) ).
fof(f450,plain,
( spl8_53
| ~ spl8_24
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f384,f364,f197,f448]) ).
fof(f384,plain,
( ! [X0,X1] :
( sP0(X0,sK1,X1)
| ~ empty(X1)
| in(sK5(X0,sK1,X1),sK2) )
| ~ spl8_24
| ~ spl8_41 ),
inference(resolution,[],[f365,f198]) ).
fof(f446,plain,
( ~ spl8_51
| spl8_52
| ~ spl8_10
| ~ spl8_29 ),
inference(avatar_split_clause,[],[f417,f247,f111,f444,f440]) ).
fof(f440,plain,
( spl8_51
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).
fof(f444,plain,
( spl8_52
<=> ! [X0] : subset(sK1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).
fof(f417,plain,
( ! [X0] :
( subset(sK1,X0)
| ~ empty(sK2) )
| ~ spl8_10
| ~ spl8_29 ),
inference(resolution,[],[f248,f112]) ).
fof(f434,plain,
( spl8_50
| ~ spl8_24
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f345,f330,f197,f432]) ).
fof(f345,plain,
( ! [X0] :
( sP0(sK1,X0,sK1)
| in(sK5(sK1,X0,sK1),sK2) )
| ~ spl8_24
| ~ spl8_39 ),
inference(resolution,[],[f331,f198]) ).
fof(f430,plain,
( spl8_49
| ~ spl8_24
| ~ spl8_38 ),
inference(avatar_split_clause,[],[f338,f326,f197,f428]) ).
fof(f338,plain,
( ! [X0] :
( sP0(X0,sK1,sK1)
| in(sK5(X0,sK1,sK1),sK2) )
| ~ spl8_24
| ~ spl8_38 ),
inference(resolution,[],[f327,f198]) ).
fof(f426,plain,
( spl8_48
| ~ spl8_11
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f211,f201,f117,f424]) ).
fof(f424,plain,
( spl8_48
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X0,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).
fof(f211,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X0,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_25 ),
inference(resolution,[],[f202,f118]) ).
fof(f422,plain,
( spl8_47
| ~ spl8_11
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f209,f201,f117,f420]) ).
fof(f420,plain,
( spl8_47
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ in(X2,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ in(X2,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_25 ),
inference(resolution,[],[f202,f118]) ).
fof(f414,plain,
( spl8_46
| ~ spl8_11
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f206,f193,f117,f412]) ).
fof(f412,plain,
( spl8_46
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X1,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).
fof(f206,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ in(X1,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_23 ),
inference(resolution,[],[f194,f118]) ).
fof(f410,plain,
( spl8_45
| ~ spl8_11
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f204,f193,f117,f408]) ).
fof(f408,plain,
( spl8_45
<=> ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ in(X2,sK5(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).
fof(f204,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ in(X2,sK5(X0,X1,X2)) )
| ~ spl8_11
| ~ spl8_23 ),
inference(resolution,[],[f194,f118]) ).
fof(f378,plain,
( spl8_44
| ~ spl8_10
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f212,f201,f111,f376]) ).
fof(f212,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_25 ),
inference(resolution,[],[f202,f112]) ).
fof(f374,plain,
( spl8_43
| ~ spl8_10
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f210,f201,f111,f372]) ).
fof(f210,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X0)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_25 ),
inference(resolution,[],[f202,f112]) ).
fof(f370,plain,
( spl8_42
| ~ spl8_10
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f207,f193,f111,f368]) ).
fof(f207,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ empty(X1) )
| ~ spl8_10
| ~ spl8_23 ),
inference(resolution,[],[f194,f112]) ).
fof(f366,plain,
( spl8_41
| ~ spl8_10
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f205,f193,f111,f364]) ).
fof(f205,plain,
( ! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X1)
| sP0(X0,X1,X2)
| ~ empty(X2) )
| ~ spl8_10
| ~ spl8_23 ),
inference(resolution,[],[f194,f112]) ).
fof(f350,plain,
( spl8_40
| ~ spl8_12
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f191,f188,f121,f348]) ).
fof(f188,plain,
( spl8_22
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f191,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) )
| ~ spl8_12
| ~ spl8_22 ),
inference(resolution,[],[f189,f122]) ).
fof(f189,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) )
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f332,plain,
( spl8_39
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f213,f201,f330]) ).
fof(f213,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,X0),X0)
| sP0(X0,X1,X0) )
| ~ spl8_25 ),
inference(factoring,[],[f202]) ).
fof(f328,plain,
( spl8_38
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f208,f193,f326]) ).
fof(f208,plain,
( ! [X0,X1] :
( in(sK5(X0,X1,X1),X1)
| sP0(X0,X1,X1) )
| ~ spl8_23 ),
inference(factoring,[],[f194]) ).
fof(f303,plain,
( spl8_37
| ~ spl8_12
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f186,f182,f121,f301]) ).
fof(f182,plain,
( spl8_21
<=> ! [X4,X0,X2,X1] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f186,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) )
| ~ spl8_12
| ~ spl8_21 ),
inference(resolution,[],[f183,f122]) ).
fof(f183,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X2)
| in(X4,X0) )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f299,plain,
( ~ spl8_36
| spl8_2
| ~ spl8_32 ),
inference(avatar_split_clause,[],[f271,f259,f75,f296]) ).
fof(f296,plain,
( spl8_36
<=> empty(set_intersection2(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).
fof(f259,plain,
( spl8_32
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
fof(f271,plain,
( ~ empty(set_intersection2(sK1,sK3))
| spl8_2
| ~ spl8_32 ),
inference(resolution,[],[f260,f77]) ).
fof(f260,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) )
| ~ spl8_32 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f294,plain,
( spl8_35
| ~ spl8_12
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f185,f178,f121,f292]) ).
fof(f185,plain,
( ! [X2,X0,X1] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) )
| ~ spl8_12
| ~ spl8_20 ),
inference(resolution,[],[f179,f122]) ).
fof(f290,plain,
( spl8_34
| ~ spl8_11
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f160,f153,f117,f288]) ).
fof(f288,plain,
( spl8_34
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).
fof(f160,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,sK4(X0,X1)) )
| ~ spl8_11
| ~ spl8_16 ),
inference(resolution,[],[f154,f118]) ).
fof(f276,plain,
( spl8_33
| ~ spl8_12
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f142,f133,f121,f274]) ).
fof(f274,plain,
( spl8_33
<=> ! [X0,X1] : sP0(X1,X0,set_intersection2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
fof(f133,plain,
( spl8_14
<=> ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f142,plain,
( ! [X0,X1] : sP0(X1,X0,set_intersection2(X1,X0))
| ~ spl8_12
| ~ spl8_14 ),
inference(superposition,[],[f122,f134]) ).
fof(f134,plain,
( ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f261,plain,
( spl8_32
| ~ spl8_10
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f161,f153,f111,f259]) ).
fof(f161,plain,
( ! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) )
| ~ spl8_10
| ~ spl8_16 ),
inference(resolution,[],[f154,f112]) ).
fof(f257,plain,
( spl8_31
| ~ spl8_5
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f151,f137,f90,f255]) ).
fof(f255,plain,
( spl8_31
<=> ! [X0] :
( sK7 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
fof(f90,plain,
( spl8_5
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f137,plain,
( spl8_15
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f151,plain,
( ! [X0] :
( sK7 = X0
| ~ empty(X0) )
| ~ spl8_5
| ~ spl8_15 ),
inference(resolution,[],[f138,f92]) ).
fof(f92,plain,
( empty(sK7)
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f138,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f253,plain,
( spl8_30
| ~ spl8_7
| ~ spl8_13
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f146,f133,f125,f99,f251]) ).
fof(f146,plain,
( ! [X0] : sK7 = set_intersection2(sK7,X0)
| ~ spl8_7
| ~ spl8_13
| ~ spl8_14 ),
inference(forward_demodulation,[],[f140,f127]) ).
fof(f140,plain,
( ! [X0] : empty_set = set_intersection2(empty_set,X0)
| ~ spl8_7
| ~ spl8_14 ),
inference(superposition,[],[f134,f100]) ).
fof(f249,plain,
( spl8_29
| ~ spl8_16
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f224,f197,f153,f247]) ).
fof(f224,plain,
( ! [X0] :
( in(sK4(sK1,X0),sK2)
| subset(sK1,X0) )
| ~ spl8_16
| ~ spl8_24 ),
inference(resolution,[],[f198,f154]) ).
fof(f236,plain,
( spl8_28
| ~ spl8_7
| ~ spl8_12
| ~ spl8_13 ),
inference(avatar_split_clause,[],[f131,f125,f121,f99,f234]) ).
fof(f131,plain,
( ! [X0] : sP0(sK7,X0,sK7)
| ~ spl8_7
| ~ spl8_12
| ~ spl8_13 ),
inference(forward_demodulation,[],[f129,f127]) ).
fof(f129,plain,
( ! [X0] : sP0(empty_set,X0,empty_set)
| ~ spl8_7
| ~ spl8_12 ),
inference(superposition,[],[f122,f100]) ).
fof(f232,plain,
( spl8_27
| ~ spl8_9
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f130,f121,f107,f230]) ).
fof(f230,plain,
( spl8_27
<=> ! [X0] : sP0(X0,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f107,plain,
( spl8_9
<=> ! [X0] : set_intersection2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f130,plain,
( ! [X0] : sP0(X0,X0,X0)
| ~ spl8_9
| ~ spl8_12 ),
inference(superposition,[],[f122,f108]) ).
fof(f108,plain,
( ! [X0] : set_intersection2(X0,X0) = X0
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f217,plain,
spl8_26,
inference(avatar_split_clause,[],[f63,f215]) ).
fof(f63,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK5(X0,X1,X2),X0)
& in(sK5(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) )
=> ( ( ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK5(X0,X1,X2),X0)
& in(sK5(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f203,plain,
spl8_25,
inference(avatar_split_clause,[],[f62,f201]) ).
fof(f62,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f199,plain,
( spl8_24
| ~ spl8_1
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f174,f165,f70,f197]) ).
fof(f70,plain,
( spl8_1
<=> subset(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f165,plain,
( spl8_18
<=> ! [X0,X1,X3] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f174,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(X0,sK2) )
| ~ spl8_1
| ~ spl8_18 ),
inference(resolution,[],[f166,f72]) ).
fof(f72,plain,
( subset(sK1,sK2)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f166,plain,
( ! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) )
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f195,plain,
spl8_23,
inference(avatar_split_clause,[],[f61,f193]) ).
fof(f61,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK5(X0,X1,X2),X1)
| in(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f190,plain,
spl8_22,
inference(avatar_split_clause,[],[f60,f188]) ).
fof(f60,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f184,plain,
spl8_21,
inference(avatar_split_clause,[],[f59,f182]) ).
fof(f59,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f180,plain,
spl8_20,
inference(avatar_split_clause,[],[f58,f178]) ).
fof(f58,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f173,plain,
spl8_19,
inference(avatar_split_clause,[],[f65,f171]) ).
fof(f65,plain,
! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP0(X1,X0,X2) ),
inference(definition_folding,[],[f4,f26]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f167,plain,
spl8_18,
inference(avatar_split_clause,[],[f53,f165]) ).
fof(f53,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f31,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f159,plain,
spl8_17,
inference(avatar_split_clause,[],[f55,f157]) ).
fof(f55,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f155,plain,
spl8_16,
inference(avatar_split_clause,[],[f54,f153]) ).
fof(f54,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f139,plain,
spl8_15,
inference(avatar_split_clause,[],[f56,f137]) ).
fof(f56,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f135,plain,
spl8_14,
inference(avatar_split_clause,[],[f51,f133]) ).
fof(f51,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f128,plain,
( spl8_13
| ~ spl8_5
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f115,f103,f90,f125]) ).
fof(f103,plain,
( spl8_8
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f115,plain,
( empty_set = sK7
| ~ spl8_5
| ~ spl8_8 ),
inference(resolution,[],[f104,f92]) ).
fof(f104,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f123,plain,
spl8_12,
inference(avatar_split_clause,[],[f68,f121]) ).
fof(f68,plain,
! [X0,X1] : sP0(X1,X0,set_intersection2(X0,X1)),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f119,plain,
spl8_11,
inference(avatar_split_clause,[],[f52,f117]) ).
fof(f52,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f113,plain,
spl8_10,
inference(avatar_split_clause,[],[f57,f111]) ).
fof(f57,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f109,plain,
spl8_9,
inference(avatar_split_clause,[],[f50,f107]) ).
fof(f50,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f105,plain,
spl8_8,
inference(avatar_split_clause,[],[f48,f103]) ).
fof(f48,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f101,plain,
spl8_7,
inference(avatar_split_clause,[],[f47,f99]) ).
fof(f47,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f97,plain,
spl8_6,
inference(avatar_split_clause,[],[f49,f95]) ).
fof(f95,plain,
( spl8_6
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f49,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f93,plain,
spl8_5,
inference(avatar_split_clause,[],[f67,f90]) ).
fof(f67,plain,
empty(sK7),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
empty(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f9,f42]) ).
fof(f42,plain,
( ? [X0] : empty(X0)
=> empty(sK7) ),
introduced(choice_axiom,[]) ).
fof(f9,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f88,plain,
~ spl8_4,
inference(avatar_split_clause,[],[f66,f85]) ).
fof(f85,plain,
( spl8_4
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f66,plain,
~ empty(sK6),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
~ empty(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f10,f40]) ).
fof(f40,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK6) ),
introduced(choice_axiom,[]) ).
fof(f10,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f83,plain,
spl8_3,
inference(avatar_split_clause,[],[f46,f80]) ).
fof(f80,plain,
( spl8_3
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f46,plain,
empty(empty_set),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f78,plain,
~ spl8_2,
inference(avatar_split_clause,[],[f45,f75]) ).
fof(f45,plain,
~ subset(set_intersection2(sK1,sK3),set_intersection2(sK2,sK3)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ~ subset(set_intersection2(sK1,sK3),set_intersection2(sK2,sK3))
& subset(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f20,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( ~ subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
& subset(X0,X1) )
=> ( ~ subset(set_intersection2(sK1,sK3),set_intersection2(sK2,sK3))
& subset(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ~ subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(f73,plain,
spl8_1,
inference(avatar_split_clause,[],[f44,f70]) ).
fof(f44,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:37:33 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (4292)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (4295)WARNING: value z3 for option sas not known
% 0.14/0.37 % (4293)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (4296)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (4295)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)
% 0.14/0.37 % (4297)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)
% 0.14/0.37 % (4294)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (4298)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)
% 0.14/0.37 % (4299)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [3]
% 0.21/0.42 TRYING [6]
% 0.21/0.42 TRYING [4]
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.46 TRYING [5]
% 0.21/0.46 TRYING [7]
% 0.21/0.48 % (4297)First to succeed.
% 0.21/0.48 TRYING [6]
% 0.21/0.49 % (4297)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4292"
% 0.21/0.49 % (4297)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (4297)------------------------------
% 0.21/0.49 % (4297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49 % (4297)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (4297)Memory used [KB]: 2320
% 0.21/0.49 % (4297)Time elapsed: 0.114 s
% 0.21/0.49 % (4297)Instructions burned: 189 (million)
% 0.21/0.49 % (4292)Success in time 0.133 s
%------------------------------------------------------------------------------