TSTP Solution File: GRP639+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP639+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Mon May 20 21:32:05 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 363
% Syntax : Number of formulae : 1217 ( 137 unt; 0 def)
% Number of atoms : 5091 ( 109 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 6860 (2986 ~;3260 |; 245 &)
% ( 303 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 317 ( 315 usr; 297 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-4 aty)
% Number of variables : 1597 (1536 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2103,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f339,f343,f347,f351,f355,f359,f363,f367,f371,f379,f384,f388,f392,f396,f400,f404,f413,f417,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f479,f483,f488,f492,f496,f500,f504,f524,f534,f538,f542,f546,f566,f570,f574,f578,f582,f592,f596,f604,f608,f612,f617,f621,f626,f630,f634,f641,f645,f649,f654,f666,f678,f682,f686,f690,f694,f719,f727,f740,f744,f752,f757,f766,f774,f780,f785,f789,f795,f802,f808,f814,f818,f825,f829,f830,f831,f834,f859,f863,f867,f875,f879,f883,f887,f891,f895,f905,f924,f928,f932,f947,f951,f960,f964,f968,f972,f977,f981,f985,f989,f993,f1005,f1009,f1023,f1027,f1031,f1036,f1040,f1044,f1063,f1073,f1093,f1097,f1101,f1112,f1116,f1120,f1129,f1145,f1149,f1153,f1157,f1171,f1177,f1181,f1185,f1189,f1193,f1197,f1201,f1214,f1218,f1222,f1226,f1232,f1237,f1245,f1249,f1253,f1263,f1273,f1277,f1295,f1299,f1305,f1309,f1313,f1318,f1322,f1326,f1330,f1334,f1338,f1344,f1348,f1349,f1356,f1366,f1377,f1389,f1397,f1403,f1408,f1412,f1418,f1422,f1427,f1439,f1443,f1447,f1451,f1455,f1468,f1477,f1482,f1487,f1503,f1507,f1511,f1519,f1533,f1537,f1549,f1553,f1557,f1561,f1566,f1570,f1574,f1578,f1582,f1586,f1620,f1624,f1628,f1632,f1636,f1640,f1647,f1651,f1655,f1659,f1675,f1679,f1683,f1689,f1693,f1698,f1702,f1706,f1710,f1714,f1718,f1727,f1731,f1735,f1739,f1775,f1779,f1783,f1787,f1791,f1795,f1804,f1808,f1812,f1816,f1820,f1832,f1836,f1840,f1844,f1848,f1857,f1863,f1867,f1875,f1879,f1883,f1887,f1888,f1910,f1916,f1920,f1926,f1930,f1941,f1945,f1949,f1953,f1957,f1963,f1970,f1983,f1987,f1995,f2006,f2010,f2019,f2025,f2031,f2040,f2045,f2054,f2061,f2068,f2072,f2076,f2081,f2089,f2093,f2097,f2102]) ).
fof(f2102,plain,
( ~ spl21_126
| ~ spl21_213
| ~ spl21_71
| spl21_293 ),
inference(avatar_split_clause,[],[f2085,f2078,f606,f1563,f974]) ).
fof(f974,plain,
( spl21_126
<=> v1_relat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_126])]) ).
fof(f1563,plain,
( spl21_213
<=> r1_tarski(sK5,u1_struct_0(k5_group_4(sK2,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_213])]) ).
fof(f606,plain,
( spl21_71
<=> ! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_71])]) ).
fof(f2078,plain,
( spl21_293
<=> r1_tarski(k9_relat_1(sK4,sK5),k9_relat_1(sK4,u1_struct_0(k5_group_4(sK2,sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_293])]) ).
fof(f2085,plain,
( ~ r1_tarski(sK5,u1_struct_0(k5_group_4(sK2,sK5)))
| ~ v1_relat_1(sK4)
| ~ spl21_71
| spl21_293 ),
inference(resolution,[],[f2080,f607]) ).
fof(f607,plain,
( ! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) )
| ~ spl21_71 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f2080,plain,
( ~ r1_tarski(k9_relat_1(sK4,sK5),k9_relat_1(sK4,u1_struct_0(k5_group_4(sK2,sK5))))
| spl21_293 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f2097,plain,
( spl21_296
| ~ spl21_79
| ~ spl21_193 ),
inference(avatar_split_clause,[],[f1429,f1424,f643,f2095]) ).
fof(f2095,plain,
( spl21_296
<=> ! [X0] :
( ~ r1_tarski(sK5,u1_struct_0(X0))
| ~ m1_group_2(X0,sK2)
| ~ v1_group_1(X0)
| m1_group_2(k5_group_4(sK2,sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_296])]) ).
fof(f643,plain,
( spl21_79
<=> ! [X2,X4,X0,X1] :
( m1_group_2(X0,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X2)
| ~ v1_group_1(X4)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_79])]) ).
fof(f1424,plain,
( spl21_193
<=> sP0(k5_group_4(sK2,sK5),sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_193])]) ).
fof(f1429,plain,
( ! [X0] :
( ~ r1_tarski(sK5,u1_struct_0(X0))
| ~ m1_group_2(X0,sK2)
| ~ v1_group_1(X0)
| m1_group_2(k5_group_4(sK2,sK5),X0) )
| ~ spl21_79
| ~ spl21_193 ),
inference(resolution,[],[f1426,f644]) ).
fof(f644,plain,
( ! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X2)
| ~ v1_group_1(X4)
| m1_group_2(X0,X4) )
| ~ spl21_79 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f1426,plain,
( sP0(k5_group_4(sK2,sK5),sK5,sK2)
| ~ spl21_193 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f2093,plain,
( spl21_295
| ~ spl21_109
| ~ spl21_212 ),
inference(avatar_split_clause,[],[f1609,f1559,f865,f2091]) ).
fof(f2091,plain,
( spl21_295
<=> ! [X0] :
( ~ r1_tarski(u1_struct_0(sK2),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r2_hidden(k1_zfmisc_1(X0),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_295])]) ).
fof(f865,plain,
( spl21_109
<=> ! [X0] :
( ~ r2_hidden(X0,sK5)
| r2_hidden(X0,u1_struct_0(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_109])]) ).
fof(f1559,plain,
( spl21_212
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_212])]) ).
fof(f1609,plain,
( ! [X0] :
( ~ r1_tarski(u1_struct_0(sK2),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r2_hidden(k1_zfmisc_1(X0),sK5) )
| ~ spl21_109
| ~ spl21_212 ),
inference(resolution,[],[f1560,f866]) ).
fof(f866,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK2))
| ~ r2_hidden(X0,sK5) )
| ~ spl21_109 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f1560,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl21_212 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f2089,plain,
( spl21_294
| ~ spl21_124
| ~ spl21_186 ),
inference(avatar_split_clause,[],[f1392,f1387,f966,f2087]) ).
fof(f2087,plain,
( spl21_294
<=> ! [X0,X1] :
( m1_subset_1(sK5,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(u1_struct_0(sK2)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_294])]) ).
fof(f966,plain,
( spl21_124
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_124])]) ).
fof(f1387,plain,
( spl21_186
<=> ! [X0] :
( m1_subset_1(sK5,X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_186])]) ).
fof(f1392,plain,
( ! [X0,X1] :
( m1_subset_1(sK5,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(u1_struct_0(sK2)),X0,X1) )
| ~ spl21_124
| ~ spl21_186 ),
inference(resolution,[],[f1388,f967]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl21_124 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f1388,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0)
| m1_subset_1(sK5,X0) )
| ~ spl21_186 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f2081,plain,
( ~ spl21_293
| spl21_30
| ~ spl21_202 ),
inference(avatar_split_clause,[],[f1498,f1485,f381,f2078]) ).
fof(f381,plain,
( spl21_30
<=> r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK5),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f1485,plain,
( spl21_202
<=> ! [X0] : k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0) = k9_relat_1(sK4,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_202])]) ).
fof(f1498,plain,
( ~ r1_tarski(k9_relat_1(sK4,sK5),k9_relat_1(sK4,u1_struct_0(k5_group_4(sK2,sK5))))
| spl21_30
| ~ spl21_202 ),
inference(forward_demodulation,[],[f1488,f1486]) ).
fof(f1486,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0) = k9_relat_1(sK4,X0)
| ~ spl21_202 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1488,plain,
( ~ r1_tarski(k9_relat_1(sK4,sK5),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,sK5))))
| spl21_30
| ~ spl21_202 ),
inference(superposition,[],[f383,f1486]) ).
fof(f383,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK5),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,sK5))))
| spl21_30 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f2076,plain,
( spl21_292
| ~ spl21_124
| ~ spl21_289 ),
inference(avatar_split_clause,[],[f2064,f2059,f966,f2074]) ).
fof(f2074,plain,
( spl21_292
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(u1_struct_0(sK2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_292])]) ).
fof(f2059,plain,
( spl21_289
<=> ! [X1] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(u1_struct_0(sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_289])]) ).
fof(f2064,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(u1_struct_0(sK2),X0,X1) )
| ~ spl21_124
| ~ spl21_289 ),
inference(resolution,[],[f2060,f967]) ).
fof(f2060,plain,
( ! [X1] :
( ~ r1_tarski(u1_struct_0(sK2),X1)
| ~ v1_xboole_0(X1) )
| ~ spl21_289 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2072,plain,
( spl21_291
| ~ spl21_124
| ~ spl21_185 ),
inference(avatar_split_clause,[],[f1380,f1375,f966,f2070]) ).
fof(f2070,plain,
( spl21_291
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(u1_struct_0(sK2)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_291])]) ).
fof(f1375,plain,
( spl21_185
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_185])]) ).
fof(f1380,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(u1_struct_0(sK2)),X0,X1) )
| ~ spl21_124
| ~ spl21_185 ),
inference(resolution,[],[f1376,f967]) ).
fof(f1376,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0)
| ~ v1_xboole_0(X0) )
| ~ spl21_185 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f2068,plain,
( spl21_290
| ~ spl21_109
| ~ spl21_125 ),
inference(avatar_split_clause,[],[f1369,f970,f865,f2066]) ).
fof(f2066,plain,
( spl21_290
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,X1)
| ~ r1_tarski(u1_struct_0(sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_290])]) ).
fof(f970,plain,
( spl21_125
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_125])]) ).
fof(f1369,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,X1)
| ~ r1_tarski(u1_struct_0(sK2),X1) )
| ~ spl21_109
| ~ spl21_125 ),
inference(resolution,[],[f866,f971]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1)
| ~ r1_tarski(X2,X1) )
| ~ spl21_125 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f2061,plain,
( spl21_289
| spl21_69
| ~ spl21_109
| ~ spl21_120 ),
inference(avatar_split_clause,[],[f1370,f945,f865,f598,f2059]) ).
fof(f598,plain,
( spl21_69
<=> ! [X0] : ~ r2_hidden(X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_69])]) ).
fof(f945,plain,
( spl21_120
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_120])]) ).
fof(f1370,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK5)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(u1_struct_0(sK2),X1) )
| ~ spl21_109
| ~ spl21_120 ),
inference(resolution,[],[f866,f946]) ).
fof(f946,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl21_120 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f2054,plain,
( spl21_288
| ~ spl21_63
| ~ spl21_182 ),
inference(avatar_split_clause,[],[f1352,f1346,f568,f2052]) ).
fof(f2052,plain,
( spl21_288
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)) = g1_group_1(u1_struct_0(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))),u1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))))
| ~ l1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_288])]) ).
fof(f568,plain,
( spl21_63
<=> ! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_63])]) ).
fof(f1346,plain,
( spl21_182
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| v1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_182])]) ).
fof(f1352,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)) = g1_group_1(u1_struct_0(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))),u1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))))
| ~ l1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) )
| ~ spl21_63
| ~ spl21_182 ),
inference(resolution,[],[f1347,f569]) ).
fof(f569,plain,
( ! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ l1_group_1(X0) )
| ~ spl21_63 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f1347,plain,
( ! [X2,X3,X0,X1] :
( v1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_182 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f2045,plain,
( spl21_287
| ~ spl21_72
| ~ spl21_184 ),
inference(avatar_split_clause,[],[f1367,f1364,f610,f2043]) ).
fof(f2043,plain,
( spl21_287
<=> ! [X0,X3,X2,X1] :
( ~ v1_group_1(k5_group_4(X0,k2_funct_2(X1,u1_struct_0(X0),X2,X3)))
| ~ m1_group_2(k5_group_4(X0,k2_funct_2(X1,u1_struct_0(X0),X2,X3)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ v1_funct_1(X2)
| sP0(k5_group_4(X0,k2_funct_2(X1,u1_struct_0(X0),X2,X3)),k2_funct_2(X1,u1_struct_0(X0),X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_287])]) ).
fof(f610,plain,
( spl21_72
<=> ! [X0,X1] :
( sP0(k5_group_4(X0,X1),X1,X0)
| ~ sP1(X0,X1,k5_group_4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_72])]) ).
fof(f1364,plain,
( spl21_184
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,k2_funct_2(X2,u1_struct_0(X1),X3,X4),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_relset_1(X3,X2,u1_struct_0(X1))
| ~ v1_funct_2(X3,X2,u1_struct_0(X1))
| ~ v1_funct_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_184])]) ).
fof(f1367,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_group_1(k5_group_4(X0,k2_funct_2(X1,u1_struct_0(X0),X2,X3)))
| ~ m1_group_2(k5_group_4(X0,k2_funct_2(X1,u1_struct_0(X0),X2,X3)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ v1_funct_1(X2)
| sP0(k5_group_4(X0,k2_funct_2(X1,u1_struct_0(X0),X2,X3)),k2_funct_2(X1,u1_struct_0(X0),X2,X3),X0) )
| ~ spl21_72
| ~ spl21_184 ),
inference(resolution,[],[f1365,f611]) ).
fof(f611,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1,k5_group_4(X0,X1))
| sP0(k5_group_4(X0,X1),X1,X0) )
| ~ spl21_72 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f1365,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X1,k2_funct_2(X2,u1_struct_0(X1),X3,X4),X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_relset_1(X3,X2,u1_struct_0(X1))
| ~ v1_funct_2(X3,X2,u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ spl21_184 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f2040,plain,
( spl21_286
| ~ spl21_73
| ~ spl21_184 ),
inference(avatar_split_clause,[],[f1368,f1364,f615,f2038]) ).
fof(f2038,plain,
( spl21_286
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_relset_1(X2,X3,u1_struct_0(X1))
| ~ v1_funct_2(X2,X3,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ sP0(X0,k2_funct_2(X3,u1_struct_0(X1),X2,X4),X1)
| k5_group_4(X1,k2_funct_2(X3,u1_struct_0(X1),X2,X4)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_286])]) ).
fof(f615,plain,
( spl21_73
<=> ! [X2,X0,X1] :
( k5_group_4(X0,X1) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_73])]) ).
fof(f1368,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_relset_1(X2,X3,u1_struct_0(X1))
| ~ v1_funct_2(X2,X3,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ sP0(X0,k2_funct_2(X3,u1_struct_0(X1),X2,X4),X1)
| k5_group_4(X1,k2_funct_2(X3,u1_struct_0(X1),X2,X4)) = X0 )
| ~ spl21_73
| ~ spl21_184 ),
inference(resolution,[],[f1365,f616]) ).
fof(f616,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ sP0(X2,X1,X0)
| k5_group_4(X0,X1) = X2 )
| ~ spl21_73 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f2031,plain,
( spl21_285
| ~ spl21_78
| ~ spl21_169 ),
inference(avatar_split_clause,[],[f1283,f1275,f639,f2029]) ).
fof(f2029,plain,
( spl21_285
<=> ! [X0,X3,X2,X1] :
( ~ v1_group_1(X0)
| sP1(sK8(X1,X2,X3),X2,X0)
| ~ l1_group_1(sK8(X1,X2,X3))
| ~ v4_group_1(sK8(X1,X2,X3))
| ~ v3_group_1(sK8(X1,X2,X3))
| v3_struct_0(sK8(X1,X2,X3))
| ~ m1_group_2(X0,sK8(X1,X2,X3))
| sP0(X1,X2,X3)
| ~ r1_tarski(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_285])]) ).
fof(f639,plain,
( spl21_78
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| r1_tarski(X1,u1_struct_0(sK8(X0,X1,X2)))
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_78])]) ).
fof(f1275,plain,
( spl21_169
<=> ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ r1_tarski(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_169])]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_group_1(X0)
| sP1(sK8(X1,X2,X3),X2,X0)
| ~ l1_group_1(sK8(X1,X2,X3))
| ~ v4_group_1(sK8(X1,X2,X3))
| ~ v3_group_1(sK8(X1,X2,X3))
| v3_struct_0(sK8(X1,X2,X3))
| ~ m1_group_2(X0,sK8(X1,X2,X3))
| sP0(X1,X2,X3)
| ~ r1_tarski(X2,u1_struct_0(X1)) )
| ~ spl21_78
| ~ spl21_169 ),
inference(resolution,[],[f1276,f640]) ).
fof(f640,plain,
( ! [X2,X0,X1] :
( r1_tarski(X1,u1_struct_0(sK8(X0,X1,X2)))
| sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_78 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f1276,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X2,u1_struct_0(X1))
| ~ v1_group_1(X0)
| sP1(X1,X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1) )
| ~ spl21_169 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f2025,plain,
( spl21_284
| ~ spl21_63
| ~ spl21_142 ),
inference(avatar_split_clause,[],[f1107,f1095,f568,f2023]) ).
fof(f2023,plain,
( spl21_284
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))) = g1_group_1(u1_struct_0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))),u1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_284])]) ).
fof(f1095,plain,
( spl21_142
<=> ! [X0] :
( v1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_142])]) ).
fof(f1107,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))) = g1_group_1(u1_struct_0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))),u1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) )
| ~ spl21_63
| ~ spl21_142 ),
inference(resolution,[],[f1096,f569]) ).
fof(f1096,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_142 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f2019,plain,
( spl21_283
| ~ spl21_63
| ~ spl21_147 ),
inference(avatar_split_clause,[],[f1158,f1143,f568,f2017]) ).
fof(f2017,plain,
( spl21_283
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| k5_group_4(X0,sK6(u1_struct_0(X0))) = g1_group_1(u1_struct_0(k5_group_4(X0,sK6(u1_struct_0(X0)))),u1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))))
| ~ l1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_283])]) ).
fof(f1143,plain,
( spl21_147
<=> ! [X0] :
( v1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_147])]) ).
fof(f1158,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| k5_group_4(X0,sK6(u1_struct_0(X0))) = g1_group_1(u1_struct_0(k5_group_4(X0,sK6(u1_struct_0(X0)))),u1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))))
| ~ l1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))) )
| ~ spl21_63
| ~ spl21_147 ),
inference(resolution,[],[f1144,f569]) ).
fof(f1144,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl21_147 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f2010,plain,
( spl21_282
| ~ spl21_72
| ~ spl21_165 ),
inference(avatar_split_clause,[],[f1255,f1247,f610,f2008]) ).
fof(f2008,plain,
( spl21_282
<=> ! [X0] :
( ~ v1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ m1_group_2(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),sK10(k1_zfmisc_1(u1_struct_0(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_282])]) ).
fof(f1247,plain,
( spl21_165
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK10(k1_zfmisc_1(u1_struct_0(X1))),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_165])]) ).
fof(f1255,plain,
( ! [X0] :
( ~ v1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ m1_group_2(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),sK10(k1_zfmisc_1(u1_struct_0(X0))),X0) )
| ~ spl21_72
| ~ spl21_165 ),
inference(resolution,[],[f1248,f611]) ).
fof(f1248,plain,
( ! [X0,X1] :
( sP1(X1,sK10(k1_zfmisc_1(u1_struct_0(X1))),X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl21_165 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f2006,plain,
( spl21_281
| ~ spl21_78
| ~ spl21_144 ),
inference(avatar_split_clause,[],[f1121,f1110,f639,f2004]) ).
fof(f2004,plain,
( spl21_281
<=> ! [X2,X0,X1] :
( ~ l1_group_1(sK8(X0,X1,X2))
| ~ v4_group_1(sK8(X0,X1,X2))
| ~ v3_group_1(sK8(X0,X1,X2))
| v3_struct_0(sK8(X0,X1,X2))
| v1_group_1(k5_group_4(sK8(X0,X1,X2),X1))
| sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_281])]) ).
fof(f1110,plain,
( spl21_144
<=> ! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_144])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(sK8(X0,X1,X2))
| ~ v4_group_1(sK8(X0,X1,X2))
| ~ v3_group_1(sK8(X0,X1,X2))
| v3_struct_0(sK8(X0,X1,X2))
| v1_group_1(k5_group_4(sK8(X0,X1,X2),X1))
| sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_78
| ~ spl21_144 ),
inference(resolution,[],[f1111,f640]) ).
fof(f1111,plain,
( ! [X0,X1] :
( ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k5_group_4(X0,X1)) )
| ~ spl21_144 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1995,plain,
( spl21_280
| ~ spl21_72
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1300,f1297,f610,f1993]) ).
fof(f1993,plain,
( spl21_280
<=> ! [X0] :
( ~ v1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ m1_group_2(k5_group_4(X0,sK6(u1_struct_0(X0))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| sP0(k5_group_4(X0,sK6(u1_struct_0(X0))),sK6(u1_struct_0(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_280])]) ).
fof(f1297,plain,
( spl21_171
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK6(u1_struct_0(X1)),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_171])]) ).
fof(f1300,plain,
( ! [X0] :
( ~ v1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ m1_group_2(k5_group_4(X0,sK6(u1_struct_0(X0))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| sP0(k5_group_4(X0,sK6(u1_struct_0(X0))),sK6(u1_struct_0(X0)),X0) )
| ~ spl21_72
| ~ spl21_171 ),
inference(resolution,[],[f1298,f611]) ).
fof(f1298,plain,
( ! [X0,X1] :
( sP1(X1,sK6(u1_struct_0(X1)),X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl21_171 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1987,plain,
( spl21_279
| ~ spl21_63
| ~ spl21_143 ),
inference(avatar_split_clause,[],[f1108,f1099,f568,f1985]) ).
fof(f1985,plain,
( spl21_279
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k5_group_4(X0,sK7(X0)) = g1_group_1(u1_struct_0(k5_group_4(X0,sK7(X0))),u1_group_1(k5_group_4(X0,sK7(X0))))
| ~ l1_group_1(k5_group_4(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_279])]) ).
fof(f1099,plain,
( spl21_143
<=> ! [X0] :
( v1_group_1(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_143])]) ).
fof(f1108,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k5_group_4(X0,sK7(X0)) = g1_group_1(u1_struct_0(k5_group_4(X0,sK7(X0))),u1_group_1(k5_group_4(X0,sK7(X0))))
| ~ l1_group_1(k5_group_4(X0,sK7(X0))) )
| ~ spl21_63
| ~ spl21_143 ),
inference(resolution,[],[f1100,f569]) ).
fof(f1100,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl21_143 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1983,plain,
( spl21_278
| ~ spl21_88
| ~ spl21_137 ),
inference(avatar_split_clause,[],[f1056,f1038,f717,f1981]) ).
fof(f1981,plain,
( spl21_278
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| k2_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_group_1(X0),X1) = k9_relat_1(u1_group_1(X0),X1)
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_278])]) ).
fof(f717,plain,
( spl21_88
<=> ! [X0,X3,X2,X1] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_88])]) ).
fof(f1038,plain,
( spl21_137
<=> ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_137])]) ).
fof(f1056,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| k2_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_group_1(X0),X1) = k9_relat_1(u1_group_1(X0),X1)
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0)) )
| ~ spl21_88
| ~ spl21_137 ),
inference(resolution,[],[f1039,f718]) ).
fof(f718,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) )
| ~ spl21_88 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f1039,plain,
( ! [X0] :
( m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl21_137 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1970,plain,
( spl21_277
| ~ spl21_159
| ~ spl21_181 ),
inference(avatar_split_clause,[],[f1351,f1342,f1212,f1968]) ).
fof(f1968,plain,
( spl21_277
<=> ! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| sK8(X1,X0,X2) = g1_group_1(u1_struct_0(sK8(X1,X0,X2)),u1_group_1(sK8(X1,X0,X2)))
| sP0(X1,X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_277])]) ).
fof(f1212,plain,
( spl21_159
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| l1_group_1(sK8(X0,X1,X2))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_159])]) ).
fof(f1342,plain,
( spl21_181
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| sK8(X0,X1,X2) = g1_group_1(u1_struct_0(sK8(X0,X1,X2)),u1_group_1(sK8(X0,X1,X2)))
| ~ l1_group_1(sK8(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_181])]) ).
fof(f1351,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| sK8(X1,X0,X2) = g1_group_1(u1_struct_0(sK8(X1,X0,X2)),u1_group_1(sK8(X1,X0,X2)))
| sP0(X1,X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_159
| ~ spl21_181 ),
inference(duplicate_literal_removal,[],[f1350]) ).
fof(f1350,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| sK8(X1,X0,X2) = g1_group_1(u1_struct_0(sK8(X1,X0,X2)),u1_group_1(sK8(X1,X0,X2)))
| sP0(X1,X0,X2)
| ~ r1_tarski(X0,u1_struct_0(X1))
| sP0(X1,X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_159
| ~ spl21_181 ),
inference(resolution,[],[f1343,f1213]) ).
fof(f1213,plain,
( ! [X2,X0,X1] :
( l1_group_1(sK8(X0,X1,X2))
| ~ r1_tarski(X1,u1_struct_0(X0))
| sP0(X0,X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_159 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1343,plain,
( ! [X2,X0,X1] :
( ~ l1_group_1(sK8(X0,X1,X2))
| ~ r1_tarski(X1,u1_struct_0(X0))
| sK8(X0,X1,X2) = g1_group_1(u1_struct_0(sK8(X0,X1,X2)),u1_group_1(sK8(X0,X1,X2)))
| sP0(X0,X1,X2) )
| ~ spl21_181 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1963,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_139
| spl21_167 ),
inference(avatar_split_clause,[],[f1514,f1260,f1061,f257,f252,f247,f242]) ).
fof(f242,plain,
( spl21_1
<=> v3_struct_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f247,plain,
( spl21_2
<=> v3_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f252,plain,
( spl21_3
<=> v4_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f257,plain,
( spl21_4
<=> l1_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f1061,plain,
( spl21_139
<=> ! [X0] :
( m1_group_2(k5_group_4(X0,sK19),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_139])]) ).
fof(f1260,plain,
( spl21_167
<=> m1_group_2(k5_group_4(sK2,sK19),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_167])]) ).
fof(f1514,plain,
( ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl21_139
| spl21_167 ),
inference(resolution,[],[f1261,f1062]) ).
fof(f1062,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK19),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_139 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1261,plain,
( ~ m1_group_2(k5_group_4(sK2,sK19),sK2)
| spl21_167 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1957,plain,
( spl21_276
| ~ spl21_66
| ~ spl21_183 ),
inference(avatar_split_clause,[],[f1362,f1354,f580,f1955]) ).
fof(f1955,plain,
( spl21_276
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| l1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_276])]) ).
fof(f580,plain,
( spl21_66
<=> ! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_66])]) ).
fof(f1354,plain,
( spl21_183
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| m1_group_2(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)),X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_183])]) ).
fof(f1362,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| l1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) )
| ~ spl21_66
| ~ spl21_183 ),
inference(duplicate_literal_removal,[],[f1357]) ).
fof(f1357,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| l1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_66
| ~ spl21_183 ),
inference(resolution,[],[f1355,f581]) ).
fof(f581,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_66 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f1355,plain,
( ! [X2,X3,X0,X1] :
( m1_group_2(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)),X2)
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_183 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1953,plain,
( spl21_275
| ~ spl21_65
| ~ spl21_183 ),
inference(avatar_split_clause,[],[f1361,f1354,f576,f1951]) ).
fof(f1951,plain,
( spl21_275
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v3_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_275])]) ).
fof(f576,plain,
( spl21_65
<=> ! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_65])]) ).
fof(f1361,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v3_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) )
| ~ spl21_65
| ~ spl21_183 ),
inference(duplicate_literal_removal,[],[f1358]) ).
fof(f1358,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| v3_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_65
| ~ spl21_183 ),
inference(resolution,[],[f1355,f577]) ).
fof(f577,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_65 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f1949,plain,
( spl21_274
| ~ spl21_64
| ~ spl21_183 ),
inference(avatar_split_clause,[],[f1360,f1354,f572,f1947]) ).
fof(f1947,plain,
( spl21_274
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v3_struct_0(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_274])]) ).
fof(f572,plain,
( spl21_64
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_64])]) ).
fof(f1360,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v3_struct_0(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3))) )
| ~ spl21_64
| ~ spl21_183 ),
inference(duplicate_literal_removal,[],[f1359]) ).
fof(f1359,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v3_struct_0(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_64
| ~ spl21_183 ),
inference(resolution,[],[f1355,f573]) ).
fof(f573,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_64 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1945,plain,
( spl21_273
| ~ spl21_73
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1301,f1297,f615,f1943]) ).
fof(f1943,plain,
( spl21_273
<=> ! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ sP0(X0,sK6(u1_struct_0(X1)),X1)
| k5_group_4(X1,sK6(u1_struct_0(X1))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_273])]) ).
fof(f1301,plain,
( ! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ sP0(X0,sK6(u1_struct_0(X1)),X1)
| k5_group_4(X1,sK6(u1_struct_0(X1))) = X0 )
| ~ spl21_73
| ~ spl21_171 ),
inference(resolution,[],[f1298,f616]) ).
fof(f1941,plain,
( spl21_272
| ~ spl21_72
| ~ spl21_166 ),
inference(avatar_split_clause,[],[f1257,f1251,f610,f1939]) ).
fof(f1939,plain,
( spl21_272
<=> ! [X0] :
( ~ v1_group_1(k5_group_4(X0,sK7(X0)))
| ~ m1_group_2(k5_group_4(X0,sK7(X0)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| sP0(k5_group_4(X0,sK7(X0)),sK7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_272])]) ).
fof(f1251,plain,
( spl21_166
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK7(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_166])]) ).
fof(f1257,plain,
( ! [X0] :
( ~ v1_group_1(k5_group_4(X0,sK7(X0)))
| ~ m1_group_2(k5_group_4(X0,sK7(X0)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| sP0(k5_group_4(X0,sK7(X0)),sK7(X0),X0) )
| ~ spl21_72
| ~ spl21_166 ),
inference(resolution,[],[f1252,f611]) ).
fof(f1252,plain,
( ! [X0,X1] :
( sP1(X1,sK7(X1),X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ spl21_166 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1930,plain,
( spl21_271
| ~ spl21_73
| ~ spl21_165 ),
inference(avatar_split_clause,[],[f1256,f1247,f615,f1928]) ).
fof(f1928,plain,
( spl21_271
<=> ! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ sP0(X0,sK10(k1_zfmisc_1(u1_struct_0(X1))),X1)
| k5_group_4(X1,sK10(k1_zfmisc_1(u1_struct_0(X1)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_271])]) ).
fof(f1256,plain,
( ! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ sP0(X0,sK10(k1_zfmisc_1(u1_struct_0(X1))),X1)
| k5_group_4(X1,sK10(k1_zfmisc_1(u1_struct_0(X1)))) = X0 )
| ~ spl21_73
| ~ spl21_165 ),
inference(resolution,[],[f1248,f616]) ).
fof(f1926,plain,
( spl21_270
| ~ spl21_80
| ~ spl21_137 ),
inference(avatar_split_clause,[],[f1057,f1038,f647,f1924]) ).
fof(f1924,plain,
( spl21_270
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_270])]) ).
fof(f647,plain,
( spl21_80
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_80])]) ).
fof(f1057,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl21_80
| ~ spl21_137 ),
inference(resolution,[],[f1039,f648]) ).
fof(f648,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_partfun1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_80 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1920,plain,
( spl21_269
| ~ spl21_81
| ~ spl21_137 ),
inference(avatar_split_clause,[],[f1055,f1038,f652,f1918]) ).
fof(f1918,plain,
( spl21_269
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_269])]) ).
fof(f652,plain,
( spl21_81
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).
fof(f1055,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) )
| ~ spl21_81
| ~ spl21_137 ),
inference(resolution,[],[f1039,f653]) ).
fof(f653,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_81 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f1916,plain,
( spl21_268
| ~ spl21_73
| ~ spl21_166 ),
inference(avatar_split_clause,[],[f1258,f1251,f615,f1914]) ).
fof(f1914,plain,
( spl21_268
<=> ! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ sP0(X0,sK7(X1),X1)
| k5_group_4(X1,sK7(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_268])]) ).
fof(f1258,plain,
( ! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ sP0(X0,sK7(X1),X1)
| k5_group_4(X1,sK7(X1)) = X0 )
| ~ spl21_73
| ~ spl21_166 ),
inference(resolution,[],[f1252,f616]) ).
fof(f1910,plain,
( spl21_267
| ~ spl21_63
| ~ spl21_138 ),
inference(avatar_split_clause,[],[f1059,f1042,f568,f1908]) ).
fof(f1908,plain,
( spl21_267
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK19) = g1_group_1(u1_struct_0(k5_group_4(X0,sK19)),u1_group_1(k5_group_4(X0,sK19)))
| ~ l1_group_1(k5_group_4(X0,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_267])]) ).
fof(f1042,plain,
( spl21_138
<=> ! [X0] :
( v1_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_138])]) ).
fof(f1059,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK19) = g1_group_1(u1_struct_0(k5_group_4(X0,sK19)),u1_group_1(k5_group_4(X0,sK19)))
| ~ l1_group_1(k5_group_4(X0,sK19)) )
| ~ spl21_63
| ~ spl21_138 ),
inference(resolution,[],[f1043,f569]) ).
fof(f1043,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_138 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1888,plain,
( spl21_95
| ~ spl21_117
| spl21_163 ),
inference(avatar_split_clause,[],[f1858,f1229,f922,f763]) ).
fof(f763,plain,
( spl21_95
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_95])]) ).
fof(f922,plain,
( spl21_117
<=> ! [X0] :
( r2_hidden(sK19,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_117])]) ).
fof(f1229,plain,
( spl21_163
<=> r2_hidden(sK19,k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_163])]) ).
fof(f1858,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_117
| spl21_163 ),
inference(resolution,[],[f1230,f923]) ).
fof(f923,plain,
( ! [X0] :
( r2_hidden(sK19,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl21_117 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f1230,plain,
( ~ r2_hidden(sK19,k1_zfmisc_1(u1_struct_0(sK2)))
| spl21_163 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1887,plain,
( spl21_266
| ~ spl21_125
| ~ spl21_168 ),
inference(avatar_split_clause,[],[f1278,f1271,f970,f1885]) ).
fof(f1885,plain,
( spl21_266
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(k2_funct_2(X1,X2,X0,X3),X4)
| ~ r1_tarski(k1_zfmisc_1(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_266])]) ).
fof(f1271,plain,
( spl21_168
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_168])]) ).
fof(f1278,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(k2_funct_2(X1,X2,X0,X3),X4)
| ~ r1_tarski(k1_zfmisc_1(X2),X4) )
| ~ spl21_125
| ~ spl21_168 ),
inference(resolution,[],[f1272,f971]) ).
fof(f1272,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl21_168 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1883,plain,
( spl21_265
| ~ spl21_108
| ~ spl21_164 ),
inference(avatar_split_clause,[],[f1254,f1243,f861,f1881]) ).
fof(f1881,plain,
( spl21_265
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(sK10(k2_funct_2(X1,X2,X0,X3)),X2)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(k2_funct_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_265])]) ).
fof(f861,plain,
( spl21_108
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK10(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_108])]) ).
fof(f1243,plain,
( spl21_164
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(X3,X2)
| ~ r2_hidden(X3,k2_funct_2(X1,X2,X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_164])]) ).
fof(f1254,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(sK10(k2_funct_2(X1,X2,X0,X3)),X2)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(k2_funct_2(X1,X2,X0,X3)) )
| ~ spl21_108
| ~ spl21_164 ),
inference(resolution,[],[f1244,f862]) ).
fof(f862,plain,
( ! [X0] :
( r2_hidden(sK10(X0),X0)
| v1_xboole_0(X0) )
| ~ spl21_108 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1244,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k2_funct_2(X1,X2,X0,X4))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(X3,X2)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl21_164 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1879,plain,
( spl21_264
| ~ spl21_84
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f911,f877,f680,f1877]) ).
fof(f1877,plain,
( spl21_264
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_264])]) ).
fof(f680,plain,
( spl21_84
<=> ! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_84])]) ).
fof(f877,plain,
( spl21_111
<=> ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_111])]) ).
fof(f911,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_84
| ~ spl21_111 ),
inference(resolution,[],[f878,f681]) ).
fof(f681,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl21_84 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f878,plain,
( ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1)
| ~ spl21_111 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f1875,plain,
( spl21_263
| ~ spl21_85
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f910,f877,f684,f1873]) ).
fof(f1873,plain,
( spl21_263
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_263])]) ).
fof(f684,plain,
( spl21_85
<=> ! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_85])]) ).
fof(f910,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_85
| ~ spl21_111 ),
inference(resolution,[],[f878,f685]) ).
fof(f685,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl21_85 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f1867,plain,
( spl21_262
| ~ spl21_72
| ~ spl21_150 ),
inference(avatar_split_clause,[],[f1172,f1155,f610,f1865]) ).
fof(f1865,plain,
( spl21_262
<=> ! [X0] :
( ~ m1_group_2(k5_group_4(X0,sK19),X0)
| ~ v1_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP0(k5_group_4(X0,sK19),sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_262])]) ).
fof(f1155,plain,
( spl21_150
<=> ! [X0,X1] :
( sP1(X1,sK19,X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_150])]) ).
fof(f1172,plain,
( ! [X0] :
( ~ m1_group_2(k5_group_4(X0,sK19),X0)
| ~ v1_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| sP0(k5_group_4(X0,sK19),sK19,X0) )
| ~ spl21_72
| ~ spl21_150 ),
inference(resolution,[],[f1156,f611]) ).
fof(f1156,plain,
( ! [X0,X1] :
( sP1(X1,sK19,X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl21_150 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1863,plain,
( spl21_261
| ~ spl21_88
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f907,f877,f717,f1861]) ).
fof(f1861,plain,
( spl21_261
<=> ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK12(X0,X1),X2) = k9_relat_1(sK12(X0,X1),X2)
| ~ v1_funct_2(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_261])]) ).
fof(f907,plain,
( ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK12(X0,X1),X2) = k9_relat_1(sK12(X0,X1),X2)
| ~ v1_funct_2(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1)) )
| ~ spl21_88
| ~ spl21_111 ),
inference(resolution,[],[f878,f718]) ).
fof(f1857,plain,
( spl21_260
| ~ spl21_73
| ~ spl21_150 ),
inference(avatar_split_clause,[],[f1173,f1155,f615,f1855]) ).
fof(f1855,plain,
( spl21_260
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ sP0(X0,sK19,X1)
| k5_group_4(X1,sK19) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_260])]) ).
fof(f1173,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ sP0(X0,sK19,X1)
| k5_group_4(X1,sK19) = X0 )
| ~ spl21_73
| ~ spl21_150 ),
inference(resolution,[],[f1156,f616]) ).
fof(f1848,plain,
( spl21_259
| ~ spl21_37
| ~ spl21_168 ),
inference(avatar_split_clause,[],[f1282,f1271,f415,f1846]) ).
fof(f1846,plain,
( spl21_259
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_relset_1(X0,X1,X2)
| ~ r2_hidden(k1_zfmisc_1(X2),k2_funct_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_259])]) ).
fof(f415,plain,
( spl21_37
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_37])]) ).
fof(f1282,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_relset_1(X0,X1,X2)
| ~ r2_hidden(k1_zfmisc_1(X2),k2_funct_2(X1,X2,X0,X3)) )
| ~ spl21_37
| ~ spl21_168 ),
inference(resolution,[],[f1272,f416]) ).
fof(f416,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl21_37 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1844,plain,
( spl21_258
| ~ spl21_84
| ~ spl21_137 ),
inference(avatar_split_clause,[],[f1054,f1038,f680,f1842]) ).
fof(f1842,plain,
( spl21_258
<=> ! [X0] :
( ~ l1_group_1(X0)
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_258])]) ).
fof(f1054,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0)) )
| ~ spl21_84
| ~ spl21_137 ),
inference(resolution,[],[f1039,f681]) ).
fof(f1840,plain,
( spl21_257
| ~ spl21_85
| ~ spl21_137 ),
inference(avatar_split_clause,[],[f1053,f1038,f684,f1838]) ).
fof(f1838,plain,
( spl21_257
<=> ! [X0] :
( ~ l1_group_1(X0)
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_257])]) ).
fof(f1053,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0)) )
| ~ spl21_85
| ~ spl21_137 ),
inference(resolution,[],[f1039,f685]) ).
fof(f1836,plain,
( spl21_256
| ~ spl21_23
| ~ spl21_159 ),
inference(avatar_split_clause,[],[f1227,f1212,f349,f1834]) ).
fof(f1834,plain,
( spl21_256
<=> ! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| sP0(X1,X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| l1_struct_0(sK8(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_256])]) ).
fof(f349,plain,
( spl21_23
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f1227,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| sP0(X1,X0,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| l1_struct_0(sK8(X1,X0,X2)) )
| ~ spl21_23
| ~ spl21_159 ),
inference(resolution,[],[f1213,f350]) ).
fof(f350,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f1832,plain,
( spl21_255
| ~ spl21_125
| ~ spl21_163 ),
inference(avatar_split_clause,[],[f1381,f1229,f970,f1830]) ).
fof(f1830,plain,
( spl21_255
<=> ! [X0] :
( m1_subset_1(sK19,X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_255])]) ).
fof(f1381,plain,
( ! [X0] :
( m1_subset_1(sK19,X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0) )
| ~ spl21_125
| ~ spl21_163 ),
inference(resolution,[],[f1231,f971]) ).
fof(f1231,plain,
( r2_hidden(sK19,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_163 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1820,plain,
( spl21_254
| ~ spl21_22
| ~ spl21_169 ),
inference(avatar_split_clause,[],[f1284,f1275,f345,f1818]) ).
fof(f1818,plain,
( spl21_254
<=> ! [X0,X1] :
( ~ v1_group_1(X0)
| sP1(X1,u1_struct_0(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_254])]) ).
fof(f345,plain,
( spl21_22
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f1284,plain,
( ! [X0,X1] :
( ~ v1_group_1(X0)
| sP1(X1,u1_struct_0(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1) )
| ~ spl21_22
| ~ spl21_169 ),
inference(resolution,[],[f1276,f346]) ).
fof(f346,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl21_22 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1816,plain,
( spl21_253
| ~ spl21_108
| ~ spl21_162 ),
inference(avatar_split_clause,[],[f1241,f1224,f861,f1814]) ).
fof(f1814,plain,
( spl21_253
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X2)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(k2_funct_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_253])]) ).
fof(f1224,plain,
( spl21_162
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X3,k2_funct_2(X1,X2,X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_162])]) ).
fof(f1241,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X2)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(k2_funct_2(X1,X2,X0,X3)) )
| ~ spl21_108
| ~ spl21_162 ),
inference(resolution,[],[f1225,f862]) ).
fof(f1225,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k2_funct_2(X1,X2,X0,X4))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X2)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl21_162 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1812,plain,
( spl21_252
| ~ spl21_125
| ~ spl21_141 ),
inference(avatar_split_clause,[],[f1102,f1091,f970,f1810]) ).
fof(f1810,plain,
( spl21_252
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,X3)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_252])]) ).
fof(f1091,plain,
( spl21_141
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_141])]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,X3)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) )
| ~ spl21_125
| ~ spl21_141 ),
inference(resolution,[],[f1092,f971]) ).
fof(f1092,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl21_141 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1808,plain,
( spl21_251
| ~ spl21_80
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f908,f877,f647,f1806]) ).
fof(f1806,plain,
( spl21_251
<=> ! [X0,X1] :
( ~ v1_funct_2(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1))
| v1_partfun1(sK12(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_251])]) ).
fof(f908,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1))
| v1_partfun1(sK12(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_80
| ~ spl21_111 ),
inference(resolution,[],[f878,f648]) ).
fof(f1804,plain,
( spl21_250
| ~ spl21_81
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f906,f877,f652,f1802]) ).
fof(f1802,plain,
( spl21_250
<=> ! [X0,X1] :
( ~ v1_funct_2(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1))
| ~ v1_xboole_0(sK12(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_250])]) ).
fof(f906,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1))
| ~ v1_xboole_0(sK12(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_81
| ~ spl21_111 ),
inference(resolution,[],[f878,f653]) ).
fof(f1795,plain,
( spl21_249
| ~ spl21_43
| ~ spl21_174 ),
inference(avatar_split_clause,[],[f1314,f1311,f439,f1793]) ).
fof(f1793,plain,
( spl21_249
<=> ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK15(X0,X1),X2) = k9_relat_1(sK15(X0,X1),X2)
| ~ v1_funct_1(sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_249])]) ).
fof(f439,plain,
( spl21_43
<=> ! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).
fof(f1311,plain,
( spl21_174
<=> ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK15(X0,X1),X2) = k9_relat_1(sK15(X0,X1),X2)
| ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_174])]) ).
fof(f1314,plain,
( ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK15(X0,X1),X2) = k9_relat_1(sK15(X0,X1),X2)
| ~ v1_funct_1(sK15(X0,X1)) )
| ~ spl21_43
| ~ spl21_174 ),
inference(resolution,[],[f1312,f440]) ).
fof(f440,plain,
( ! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1)
| ~ spl21_43 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f1312,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| k2_funct_2(X0,X1,sK15(X0,X1),X2) = k9_relat_1(sK15(X0,X1),X2)
| ~ v1_funct_1(sK15(X0,X1)) )
| ~ spl21_174 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1791,plain,
( spl21_248
| ~ spl21_66
| ~ spl21_158 ),
inference(avatar_split_clause,[],[f1210,f1199,f580,f1789]) ).
fof(f1789,plain,
( spl21_248
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| l1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_248])]) ).
fof(f1199,plain,
( spl21_158
<=> ! [X0] :
( m1_group_2(k5_group_4(X0,sK6(u1_struct_0(X0))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_158])]) ).
fof(f1210,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| l1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))) )
| ~ spl21_66
| ~ spl21_158 ),
inference(duplicate_literal_removal,[],[f1205]) ).
fof(f1205,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| l1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_66
| ~ spl21_158 ),
inference(resolution,[],[f1200,f581]) ).
fof(f1200,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK6(u1_struct_0(X0))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl21_158 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1787,plain,
( spl21_247
| ~ spl21_65
| ~ spl21_158 ),
inference(avatar_split_clause,[],[f1209,f1199,f576,f1785]) ).
fof(f1785,plain,
( spl21_247
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| v3_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_247])]) ).
fof(f1209,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| v3_group_1(k5_group_4(X0,sK6(u1_struct_0(X0)))) )
| ~ spl21_65
| ~ spl21_158 ),
inference(duplicate_literal_removal,[],[f1206]) ).
fof(f1206,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| v3_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_65
| ~ spl21_158 ),
inference(resolution,[],[f1200,f577]) ).
fof(f1783,plain,
( spl21_246
| ~ spl21_64
| ~ spl21_158 ),
inference(avatar_split_clause,[],[f1208,f1199,f572,f1781]) ).
fof(f1781,plain,
( spl21_246
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(k5_group_4(X0,sK6(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_246])]) ).
fof(f1208,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(k5_group_4(X0,sK6(u1_struct_0(X0)))) )
| ~ spl21_64
| ~ spl21_158 ),
inference(duplicate_literal_removal,[],[f1207]) ).
fof(f1207,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_64
| ~ spl21_158 ),
inference(resolution,[],[f1200,f573]) ).
fof(f1779,plain,
( spl21_245
| ~ spl21_125
| ~ spl21_140 ),
inference(avatar_split_clause,[],[f1074,f1071,f970,f1777]) ).
fof(f1777,plain,
( spl21_245
<=> ! [X0,X1] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| m1_subset_1(sK7(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_245])]) ).
fof(f1071,plain,
( spl21_140
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_140])]) ).
fof(f1074,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| m1_subset_1(sK7(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) )
| ~ spl21_125
| ~ spl21_140 ),
inference(resolution,[],[f1072,f971]) ).
fof(f1072,plain,
( ! [X0] :
( r2_hidden(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl21_140 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1775,plain,
( spl21_116
| ~ spl21_244
| ~ spl21_206
| ~ spl21_213 ),
inference(avatar_split_clause,[],[f1612,f1563,f1517,f1772,f902]) ).
fof(f902,plain,
( spl21_116
<=> v1_xboole_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_116])]) ).
fof(f1772,plain,
( spl21_244
<=> v1_xboole_0(u1_struct_0(k5_group_4(sK2,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_244])]) ).
fof(f1517,plain,
( spl21_206
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_206])]) ).
fof(f1612,plain,
( ~ v1_xboole_0(u1_struct_0(k5_group_4(sK2,sK5)))
| v1_xboole_0(sK5)
| ~ spl21_206
| ~ spl21_213 ),
inference(resolution,[],[f1565,f1518]) ).
fof(f1518,plain,
( ! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl21_206 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1565,plain,
( r1_tarski(sK5,u1_struct_0(k5_group_4(sK2,sK5)))
| ~ spl21_213 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1739,plain,
( spl21_243
| ~ spl21_66
| ~ spl21_148 ),
inference(avatar_split_clause,[],[f1164,f1147,f580,f1737]) ).
fof(f1737,plain,
( spl21_243
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| l1_group_1(k5_group_4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_243])]) ).
fof(f1147,plain,
( spl21_148
<=> ! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_148])]) ).
fof(f1164,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| l1_group_1(k5_group_4(X0,X1)) )
| ~ spl21_66
| ~ spl21_148 ),
inference(duplicate_literal_removal,[],[f1159]) ).
fof(f1159,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| l1_group_1(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_66
| ~ spl21_148 ),
inference(resolution,[],[f1148,f581]) ).
fof(f1148,plain,
( ! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_148 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1735,plain,
( spl21_242
| ~ spl21_65
| ~ spl21_148 ),
inference(avatar_split_clause,[],[f1163,f1147,f576,f1733]) ).
fof(f1733,plain,
( spl21_242
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| v3_group_1(k5_group_4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_242])]) ).
fof(f1163,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| v3_group_1(k5_group_4(X0,X1)) )
| ~ spl21_65
| ~ spl21_148 ),
inference(duplicate_literal_removal,[],[f1160]) ).
fof(f1160,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| v3_group_1(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_65
| ~ spl21_148 ),
inference(resolution,[],[f1148,f577]) ).
fof(f1731,plain,
( spl21_241
| ~ spl21_64
| ~ spl21_148 ),
inference(avatar_split_clause,[],[f1162,f1147,f572,f1729]) ).
fof(f1729,plain,
( spl21_241
<=> ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ v3_struct_0(k5_group_4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_241])]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ v3_struct_0(k5_group_4(X0,X1)) )
| ~ spl21_64
| ~ spl21_148 ),
inference(duplicate_literal_removal,[],[f1161]) ).
fof(f1161,plain,
( ! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ v3_struct_0(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_64
| ~ spl21_148 ),
inference(resolution,[],[f1148,f573]) ).
fof(f1727,plain,
( spl21_240
| ~ spl21_68
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1045,f1025,f594,f1725]) ).
fof(f1725,plain,
( spl21_240
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_240])]) ).
fof(f594,plain,
( spl21_68
<=> ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_68])]) ).
fof(f1025,plain,
( spl21_134
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_134])]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) )
| ~ spl21_68
| ~ spl21_134 ),
inference(resolution,[],[f1026,f595]) ).
fof(f595,plain,
( ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl21_68 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1026,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_134 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1718,plain,
( spl21_239
| ~ spl21_66
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1141,f1118,f580,f1716]) ).
fof(f1716,plain,
( spl21_239
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_239])]) ).
fof(f1118,plain,
( spl21_146
<=> ! [X0] :
( m1_group_2(k5_group_4(X0,sK7(X0)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_146])]) ).
fof(f1141,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK7(X0))) )
| ~ spl21_66
| ~ spl21_146 ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1136,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_66
| ~ spl21_146 ),
inference(resolution,[],[f1119,f581]) ).
fof(f1119,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK7(X0)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl21_146 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1714,plain,
( spl21_238
| ~ spl21_65
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1140,f1118,f576,f1712]) ).
fof(f1712,plain,
( spl21_238
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_238])]) ).
fof(f1140,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK7(X0))) )
| ~ spl21_65
| ~ spl21_146 ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1137,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_65
| ~ spl21_146 ),
inference(resolution,[],[f1119,f577]) ).
fof(f1710,plain,
( spl21_237
| ~ spl21_64
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f1139,f1118,f572,f1708]) ).
fof(f1708,plain,
( spl21_237
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_237])]) ).
fof(f1139,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK7(X0))) )
| ~ spl21_64
| ~ spl21_146 ),
inference(duplicate_literal_removal,[],[f1138]) ).
fof(f1138,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_64
| ~ spl21_146 ),
inference(resolution,[],[f1119,f573]) ).
fof(f1706,plain,
( spl21_236
| ~ spl21_66
| ~ spl21_145 ),
inference(avatar_split_clause,[],[f1135,f1114,f580,f1704]) ).
fof(f1704,plain,
( spl21_236
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_236])]) ).
fof(f1114,plain,
( spl21_145
<=> ! [X0] :
( m1_group_2(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_145])]) ).
fof(f1135,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) )
| ~ spl21_66
| ~ spl21_145 ),
inference(duplicate_literal_removal,[],[f1130]) ).
fof(f1130,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_66
| ~ spl21_145 ),
inference(resolution,[],[f1115,f581]) ).
fof(f1115,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_145 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1702,plain,
( spl21_235
| ~ spl21_65
| ~ spl21_145 ),
inference(avatar_split_clause,[],[f1134,f1114,f576,f1700]) ).
fof(f1700,plain,
( spl21_235
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_235])]) ).
fof(f1134,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) )
| ~ spl21_65
| ~ spl21_145 ),
inference(duplicate_literal_removal,[],[f1131]) ).
fof(f1131,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_65
| ~ spl21_145 ),
inference(resolution,[],[f1115,f577]) ).
fof(f1698,plain,
( ~ spl21_234
| ~ spl21_109
| ~ spl21_224 ),
inference(avatar_split_clause,[],[f1669,f1638,f865,f1695]) ).
fof(f1695,plain,
( spl21_234
<=> r2_hidden(u1_struct_0(sK2),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_234])]) ).
fof(f1638,plain,
( spl21_224
<=> ! [X0] :
( ~ r2_hidden(X0,sK5)
| ~ r2_hidden(u1_struct_0(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_224])]) ).
fof(f1669,plain,
( ~ r2_hidden(u1_struct_0(sK2),sK5)
| ~ spl21_109
| ~ spl21_224 ),
inference(duplicate_literal_removal,[],[f1668]) ).
fof(f1668,plain,
( ~ r2_hidden(u1_struct_0(sK2),sK5)
| ~ r2_hidden(u1_struct_0(sK2),sK5)
| ~ spl21_109
| ~ spl21_224 ),
inference(resolution,[],[f1639,f866]) ).
fof(f1639,plain,
( ! [X0] :
( ~ r2_hidden(u1_struct_0(sK2),X0)
| ~ r2_hidden(X0,sK5) )
| ~ spl21_224 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1693,plain,
( spl21_233
| ~ spl21_64
| ~ spl21_145 ),
inference(avatar_split_clause,[],[f1133,f1114,f572,f1691]) ).
fof(f1691,plain,
( spl21_233
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_233])]) ).
fof(f1133,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0))))) )
| ~ spl21_64
| ~ spl21_145 ),
inference(duplicate_literal_removal,[],[f1132]) ).
fof(f1132,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_64
| ~ spl21_145 ),
inference(resolution,[],[f1115,f573]) ).
fof(f1689,plain,
( spl21_232
| ~ spl21_37
| ~ spl21_141 ),
inference(avatar_split_clause,[],[f1106,f1091,f415,f1687]) ).
fof(f1687,plain,
( spl21_232
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_232])]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl21_37
| ~ spl21_141 ),
inference(resolution,[],[f1092,f416]) ).
fof(f1683,plain,
( spl21_231
| ~ spl21_43
| ~ spl21_180 ),
inference(avatar_split_clause,[],[f1340,f1336,f439,f1681]) ).
fof(f1681,plain,
( spl21_231
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_231])]) ).
fof(f1336,plain,
( spl21_180
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_180])]) ).
fof(f1340,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_43
| ~ spl21_180 ),
inference(resolution,[],[f1337,f440]) ).
fof(f1337,plain,
( ! [X0] :
( ~ v1_funct_2(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_180 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1679,plain,
( spl21_230
| ~ spl21_43
| ~ spl21_177 ),
inference(avatar_split_clause,[],[f1339,f1324,f439,f1677]) ).
fof(f1677,plain,
( spl21_230
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_230])]) ).
fof(f1324,plain,
( spl21_177
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_177])]) ).
fof(f1339,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_43
| ~ spl21_177 ),
inference(resolution,[],[f1325,f440]) ).
fof(f1325,plain,
( ! [X0] :
( ~ v1_funct_2(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_177 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1675,plain,
( spl21_229
| ~ spl21_37
| ~ spl21_140 ),
inference(avatar_split_clause,[],[f1078,f1071,f415,f1673]) ).
fof(f1673,plain,
( spl21_229
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_229])]) ).
fof(f1078,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK7(X0)) )
| ~ spl21_37
| ~ spl21_140 ),
inference(resolution,[],[f1072,f416]) ).
fof(f1659,plain,
( spl21_228
| ~ spl21_22
| ~ spl21_144 ),
inference(avatar_split_clause,[],[f1122,f1110,f345,f1657]) ).
fof(f1657,plain,
( spl21_228
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k5_group_4(X0,u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_228])]) ).
fof(f1122,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k5_group_4(X0,u1_struct_0(X0))) )
| ~ spl21_22
| ~ spl21_144 ),
inference(resolution,[],[f1111,f346]) ).
fof(f1655,plain,
( spl21_227
| ~ spl21_108
| ~ spl21_135 ),
inference(avatar_split_clause,[],[f1052,f1029,f861,f1653]) ).
fof(f1653,plain,
( spl21_227
<=> ! [X0] :
( m1_subset_1(sK10(sK7(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_227])]) ).
fof(f1029,plain,
( spl21_135
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK7(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_135])]) ).
fof(f1052,plain,
( ! [X0] :
( m1_subset_1(sK10(sK7(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK7(X0)) )
| ~ spl21_108
| ~ spl21_135 ),
inference(resolution,[],[f1030,f862]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK7(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl21_135 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1651,plain,
( spl21_226
| ~ spl21_125
| ~ spl21_132 ),
inference(avatar_split_clause,[],[f1015,f1007,f970,f1649]) ).
fof(f1649,plain,
( spl21_226
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK6(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_226])]) ).
fof(f1007,plain,
( spl21_132
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_132])]) ).
fof(f1015,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK6(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) )
| ~ spl21_125
| ~ spl21_132 ),
inference(resolution,[],[f1008,f971]) ).
fof(f1008,plain,
( ! [X0] :
( r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl21_132 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1647,plain,
( spl21_225
| ~ spl21_125
| ~ spl21_131 ),
inference(avatar_split_clause,[],[f1010,f1003,f970,f1645]) ).
fof(f1645,plain,
( spl21_225
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_225])]) ).
fof(f1003,plain,
( spl21_131
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_131])]) ).
fof(f1010,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) )
| ~ spl21_125
| ~ spl21_131 ),
inference(resolution,[],[f1004,f971]) ).
fof(f1004,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl21_131 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1640,plain,
( spl21_224
| ~ spl21_37
| ~ spl21_109 ),
inference(avatar_split_clause,[],[f1373,f865,f415,f1638]) ).
fof(f1373,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| ~ r2_hidden(u1_struct_0(sK2),X0) )
| ~ spl21_37
| ~ spl21_109 ),
inference(resolution,[],[f866,f416]) ).
fof(f1636,plain,
( spl21_223
| ~ spl21_43
| ~ spl21_157 ),
inference(avatar_split_clause,[],[f1204,f1195,f439,f1634]) ).
fof(f1634,plain,
( spl21_223
<=> ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_223])]) ).
fof(f1195,plain,
( spl21_157
<=> ! [X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_157])]) ).
fof(f1204,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_43
| ~ spl21_157 ),
inference(resolution,[],[f1196,f440]) ).
fof(f1196,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_157 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1632,plain,
( spl21_222
| ~ spl21_43
| ~ spl21_154 ),
inference(avatar_split_clause,[],[f1203,f1183,f439,f1630]) ).
fof(f1630,plain,
( spl21_222
<=> ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_222])]) ).
fof(f1183,plain,
( spl21_154
<=> ! [X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_154])]) ).
fof(f1203,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_43
| ~ spl21_154 ),
inference(resolution,[],[f1184,f440]) ).
fof(f1184,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_154 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1628,plain,
( spl21_221
| ~ spl21_66
| ~ spl21_139 ),
inference(avatar_split_clause,[],[f1069,f1061,f580,f1626]) ).
fof(f1626,plain,
( spl21_221
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_221])]) ).
fof(f1069,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK19)) )
| ~ spl21_66
| ~ spl21_139 ),
inference(duplicate_literal_removal,[],[f1064]) ).
fof(f1064,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_66
| ~ spl21_139 ),
inference(resolution,[],[f1062,f581]) ).
fof(f1624,plain,
( spl21_220
| ~ spl21_65
| ~ spl21_139 ),
inference(avatar_split_clause,[],[f1068,f1061,f576,f1622]) ).
fof(f1622,plain,
( spl21_220
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_220])]) ).
fof(f1068,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK19)) )
| ~ spl21_65
| ~ spl21_139 ),
inference(duplicate_literal_removal,[],[f1065]) ).
fof(f1065,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v3_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_65
| ~ spl21_139 ),
inference(resolution,[],[f1062,f577]) ).
fof(f1620,plain,
( spl21_219
| ~ spl21_64
| ~ spl21_139 ),
inference(avatar_split_clause,[],[f1067,f1061,f572,f1618]) ).
fof(f1618,plain,
( spl21_219
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_219])]) ).
fof(f1067,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK19)) )
| ~ spl21_64
| ~ spl21_139 ),
inference(duplicate_literal_removal,[],[f1066]) ).
fof(f1066,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_64
| ~ spl21_139 ),
inference(resolution,[],[f1062,f573]) ).
fof(f1586,plain,
( spl21_218
| ~ spl21_114
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1050,f1025,f889,f1584]) ).
fof(f1584,plain,
( spl21_218
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_218])]) ).
fof(f889,plain,
( spl21_114
<=> ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_114])]) ).
fof(f1050,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_114
| ~ spl21_134 ),
inference(resolution,[],[f1026,f890]) ).
fof(f890,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl21_114 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1582,plain,
( spl21_217
| ~ spl21_113
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1049,f1025,f885,f1580]) ).
fof(f1580,plain,
( spl21_217
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_217])]) ).
fof(f885,plain,
( spl21_113
<=> ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_113])]) ).
fof(f1049,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_113
| ~ spl21_134 ),
inference(resolution,[],[f1026,f886]) ).
fof(f886,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl21_113 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f1578,plain,
( spl21_216
| ~ spl21_112
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1048,f1025,f881,f1576]) ).
fof(f1576,plain,
( spl21_216
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_216])]) ).
fof(f881,plain,
( spl21_112
<=> ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_112])]) ).
fof(f1048,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_112
| ~ spl21_134 ),
inference(resolution,[],[f1026,f882]) ).
fof(f882,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl21_112 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f1574,plain,
( spl21_215
| ~ spl21_39
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1047,f1025,f423,f1572]) ).
fof(f1572,plain,
( spl21_215
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_215])]) ).
fof(f423,plain,
( spl21_39
<=> ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).
fof(f1047,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_39
| ~ spl21_134 ),
inference(resolution,[],[f1026,f424]) ).
fof(f424,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl21_39 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f1570,plain,
( spl21_214
| ~ spl21_37
| ~ spl21_132 ),
inference(avatar_split_clause,[],[f1019,f1007,f415,f1568]) ).
fof(f1568,plain,
( spl21_214
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_214])]) ).
fof(f1019,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK6(X0)) )
| ~ spl21_37
| ~ spl21_132 ),
inference(resolution,[],[f1008,f416]) ).
fof(f1566,plain,
( spl21_213
| ~ spl21_50
| ~ spl21_193 ),
inference(avatar_split_clause,[],[f1430,f1424,f477,f1563]) ).
fof(f477,plain,
( spl21_50
<=> ! [X2,X0,X1] :
( r1_tarski(X1,u1_struct_0(X0))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_50])]) ).
fof(f1430,plain,
( r1_tarski(sK5,u1_struct_0(k5_group_4(sK2,sK5)))
| ~ spl21_50
| ~ spl21_193 ),
inference(resolution,[],[f1426,f478]) ).
fof(f478,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_50 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1561,plain,
( spl21_212
| ~ spl21_37
| ~ spl21_131 ),
inference(avatar_split_clause,[],[f1014,f1003,f415,f1559]) ).
fof(f1014,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl21_37
| ~ spl21_131 ),
inference(resolution,[],[f1004,f416]) ).
fof(f1557,plain,
( spl21_211
| ~ spl21_108
| ~ spl21_127 ),
inference(avatar_split_clause,[],[f1000,f979,f861,f1555]) ).
fof(f1555,plain,
( spl21_211
<=> ! [X0] :
( m1_subset_1(sK10(sK6(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_211])]) ).
fof(f979,plain,
( spl21_127
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_127])]) ).
fof(f1000,plain,
( ! [X0] :
( m1_subset_1(sK10(sK6(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK6(X0)) )
| ~ spl21_108
| ~ spl21_127 ),
inference(resolution,[],[f980,f862]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_127 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f1553,plain,
( spl21_210
| ~ spl21_117
| ~ spl21_125 ),
inference(avatar_split_clause,[],[f997,f970,f922,f1551]) ).
fof(f1551,plain,
( spl21_210
<=> ! [X0,X1] :
( m1_subset_1(sK19,X0)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_210])]) ).
fof(f997,plain,
( ! [X0,X1] :
( m1_subset_1(sK19,X0)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) )
| ~ spl21_117
| ~ spl21_125 ),
inference(resolution,[],[f971,f923]) ).
fof(f1549,plain,
( spl21_209
| ~ spl21_108
| ~ spl21_121 ),
inference(avatar_split_clause,[],[f956,f949,f861,f1547]) ).
fof(f1547,plain,
( spl21_209
<=> ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_209])]) ).
fof(f949,plain,
( spl21_121
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_121])]) ).
fof(f956,plain,
( ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl21_108
| ~ spl21_121 ),
inference(resolution,[],[f950,f862]) ).
fof(f950,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl21_121 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f1537,plain,
( spl21_208
| ~ spl21_23
| ~ spl21_130 ),
inference(avatar_split_clause,[],[f1001,f991,f349,f1535]) ).
fof(f1535,plain,
( spl21_208
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_208])]) ).
fof(f991,plain,
( spl21_130
<=> ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_130])]) ).
fof(f1001,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_struct_0(sK9(X0)) )
| ~ spl21_23
| ~ spl21_130 ),
inference(resolution,[],[f992,f350]) ).
fof(f992,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_130 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1533,plain,
( spl21_207
| ~ spl21_108
| ~ spl21_125 ),
inference(avatar_split_clause,[],[f996,f970,f861,f1531]) ).
fof(f1531,plain,
( spl21_207
<=> ! [X0,X1] :
( m1_subset_1(sK10(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_207])]) ).
fof(f996,plain,
( ! [X0,X1] :
( m1_subset_1(sK10(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) )
| ~ spl21_108
| ~ spl21_125 ),
inference(resolution,[],[f971,f862]) ).
fof(f1519,plain,
( spl21_206
| ~ spl21_108
| ~ spl21_120 ),
inference(avatar_split_clause,[],[f953,f945,f861,f1517]) ).
fof(f953,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X1) )
| ~ spl21_108
| ~ spl21_120 ),
inference(resolution,[],[f946,f862]) ).
fof(f1511,plain,
( spl21_205
| ~ spl21_108
| ~ spl21_119 ),
inference(avatar_split_clause,[],[f943,f930,f861,f1509]) ).
fof(f1509,plain,
( spl21_205
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_205])]) ).
fof(f930,plain,
( spl21_119
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_119])]) ).
fof(f943,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl21_108
| ~ spl21_119 ),
inference(resolution,[],[f931,f862]) ).
fof(f931,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl21_119 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f1507,plain,
( spl21_204
| ~ spl21_37
| ~ spl21_108 ),
inference(avatar_split_clause,[],[f898,f861,f415,f1505]) ).
fof(f1505,plain,
( spl21_204
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_204])]) ).
fof(f898,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK10(X0)) )
| ~ spl21_37
| ~ spl21_108 ),
inference(resolution,[],[f862,f416]) ).
fof(f1503,plain,
( spl21_203
| ~ spl21_68
| ~ spl21_115 ),
inference(avatar_split_clause,[],[f915,f893,f594,f1501]) ).
fof(f1501,plain,
( spl21_203
<=> ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_203])]) ).
fof(f893,plain,
( spl21_115
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_115])]) ).
fof(f915,plain,
( ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl21_68
| ~ spl21_115 ),
inference(resolution,[],[f894,f595]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl21_115 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f1487,plain,
( ~ spl21_9
| ~ spl21_11
| spl21_202
| ~ spl21_62
| ~ spl21_88 ),
inference(avatar_split_clause,[],[f723,f717,f563,f1485,f292,f282]) ).
fof(f282,plain,
( spl21_9
<=> v1_funct_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f292,plain,
( spl21_11
<=> v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f563,plain,
( spl21_62
<=> m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).
fof(f723,plain,
( ! [X0] :
( k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0) = k9_relat_1(sK4,X0)
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK4) )
| ~ spl21_62
| ~ spl21_88 ),
inference(resolution,[],[f718,f565]) ).
fof(f565,plain,
( m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ spl21_62 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1482,plain,
( spl21_5
| ~ spl21_36
| ~ spl21_45
| ~ spl21_194 ),
inference(avatar_split_clause,[],[f1469,f1432,f447,f410,f262]) ).
fof(f262,plain,
( spl21_5
<=> v3_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f410,plain,
( spl21_36
<=> l1_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
fof(f447,plain,
( spl21_45
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_45])]) ).
fof(f1432,plain,
( spl21_194
<=> v1_xboole_0(u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_194])]) ).
fof(f1469,plain,
( ~ l1_struct_0(sK3)
| v3_struct_0(sK3)
| ~ spl21_45
| ~ spl21_194 ),
inference(resolution,[],[f1434,f448]) ).
fof(f448,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl21_45 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1434,plain,
( v1_xboole_0(u1_struct_0(sK3))
| ~ spl21_194 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1477,plain,
( ~ spl21_187
| spl21_201
| ~ spl21_63
| ~ spl21_96 ),
inference(avatar_split_clause,[],[f775,f771,f568,f1474,f1394]) ).
fof(f1394,plain,
( spl21_187
<=> l1_group_1(k5_group_4(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_187])]) ).
fof(f1474,plain,
( spl21_201
<=> k5_group_4(sK2,sK5) = g1_group_1(u1_struct_0(k5_group_4(sK2,sK5)),u1_group_1(k5_group_4(sK2,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_201])]) ).
fof(f771,plain,
( spl21_96
<=> v1_group_1(k5_group_4(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_96])]) ).
fof(f775,plain,
( k5_group_4(sK2,sK5) = g1_group_1(u1_struct_0(k5_group_4(sK2,sK5)),u1_group_1(k5_group_4(sK2,sK5)))
| ~ l1_group_1(k5_group_4(sK2,sK5))
| ~ spl21_63
| ~ spl21_96 ),
inference(resolution,[],[f773,f569]) ).
fof(f773,plain,
( v1_group_1(k5_group_4(sK2,sK5))
| ~ spl21_96 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f1468,plain,
( spl21_194
| spl21_200
| ~ spl21_9
| ~ spl21_11
| ~ spl21_62
| ~ spl21_80 ),
inference(avatar_split_clause,[],[f658,f647,f563,f292,f282,f1465,f1432]) ).
fof(f1465,plain,
( spl21_200
<=> v1_partfun1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_200])]) ).
fof(f658,plain,
( ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| v1_partfun1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK3))
| ~ spl21_62
| ~ spl21_80 ),
inference(resolution,[],[f648,f565]) ).
fof(f1455,plain,
( spl21_199
| ~ spl21_22
| ~ spl21_118 ),
inference(avatar_split_clause,[],[f939,f926,f345,f1453]) ).
fof(f1453,plain,
( spl21_199
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_199])]) ).
fof(f926,plain,
( spl21_118
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_118])]) ).
fof(f939,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl21_22
| ~ spl21_118 ),
inference(resolution,[],[f927,f346]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl21_118 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1451,plain,
( spl21_198
| ~ spl21_112
| ~ spl21_115 ),
inference(avatar_split_clause,[],[f918,f893,f881,f1449]) ).
fof(f1449,plain,
( spl21_198
<=> ! [X0,X1] : v1_relat_1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_198])]) ).
fof(f918,plain,
( ! [X0,X1] : v1_relat_1(sK13(X0,X1))
| ~ spl21_112
| ~ spl21_115 ),
inference(resolution,[],[f894,f882]) ).
fof(f1447,plain,
( spl21_197
| ~ spl21_39
| ~ spl21_115 ),
inference(avatar_split_clause,[],[f917,f893,f423,f1445]) ).
fof(f1445,plain,
( spl21_197
<=> ! [X0,X1] : v1_relat_1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_197])]) ).
fof(f917,plain,
( ! [X0,X1] : v1_relat_1(sK12(X0,X1))
| ~ spl21_39
| ~ spl21_115 ),
inference(resolution,[],[f894,f424]) ).
fof(f1443,plain,
( spl21_196
| ~ spl21_34
| ~ spl21_101 ),
inference(avatar_split_clause,[],[f803,f800,f398,f1441]) ).
fof(f1441,plain,
( spl21_196
<=> ! [X0] : m1_subset_1(sK19,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_196])]) ).
fof(f398,plain,
( spl21_34
<=> ! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).
fof(f800,plain,
( spl21_101
<=> ! [X0] : sK11(X0) = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_101])]) ).
fof(f803,plain,
( ! [X0] : m1_subset_1(sK19,k1_zfmisc_1(X0))
| ~ spl21_34
| ~ spl21_101 ),
inference(superposition,[],[f399,f801]) ).
fof(f801,plain,
( ! [X0] : sK11(X0) = sK19
| ~ spl21_101 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f399,plain,
( ! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0))
| ~ spl21_34 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f1439,plain,
( spl21_70
| spl21_194
| ~ spl21_195
| ~ spl21_9
| ~ spl21_11
| ~ spl21_62
| ~ spl21_81 ),
inference(avatar_split_clause,[],[f662,f652,f563,f292,f282,f1436,f1432,f601]) ).
fof(f601,plain,
( spl21_70
<=> v1_xboole_0(u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_70])]) ).
fof(f1436,plain,
( spl21_195
<=> v1_xboole_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_195])]) ).
fof(f662,plain,
( ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| ~ v1_xboole_0(sK4)
| v1_xboole_0(u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK2))
| ~ spl21_62
| ~ spl21_81 ),
inference(resolution,[],[f653,f565]) ).
fof(f1427,plain,
( spl21_193
| ~ spl21_96
| ~ spl21_100
| ~ spl21_72
| ~ spl21_102 ),
inference(avatar_split_clause,[],[f809,f806,f610,f792,f771,f1424]) ).
fof(f792,plain,
( spl21_100
<=> m1_group_2(k5_group_4(sK2,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_100])]) ).
fof(f806,plain,
( spl21_102
<=> ! [X0] :
( ~ m1_group_2(X0,sK2)
| sP1(sK2,sK5,X0)
| ~ v1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_102])]) ).
fof(f809,plain,
( ~ m1_group_2(k5_group_4(sK2,sK5),sK2)
| ~ v1_group_1(k5_group_4(sK2,sK5))
| sP0(k5_group_4(sK2,sK5),sK5,sK2)
| ~ spl21_72
| ~ spl21_102 ),
inference(resolution,[],[f807,f611]) ).
fof(f807,plain,
( ! [X0] :
( sP1(sK2,sK5,X0)
| ~ m1_group_2(X0,sK2)
| ~ v1_group_1(X0) )
| ~ spl21_102 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1422,plain,
( spl21_192
| ~ spl21_73
| ~ spl21_102 ),
inference(avatar_split_clause,[],[f810,f806,f615,f1420]) ).
fof(f1420,plain,
( spl21_192
<=> ! [X0] :
( ~ m1_group_2(X0,sK2)
| ~ v1_group_1(X0)
| ~ sP0(X0,sK5,sK2)
| k5_group_4(sK2,sK5) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_192])]) ).
fof(f810,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK2)
| ~ v1_group_1(X0)
| ~ sP0(X0,sK5,sK2)
| k5_group_4(sK2,sK5) = X0 )
| ~ spl21_73
| ~ spl21_102 ),
inference(resolution,[],[f807,f616]) ).
fof(f1418,plain,
( spl21_191
| ~ spl21_23
| ~ spl21_187 ),
inference(avatar_split_clause,[],[f1398,f1394,f349,f1415]) ).
fof(f1415,plain,
( spl21_191
<=> l1_struct_0(k5_group_4(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_191])]) ).
fof(f1398,plain,
( l1_struct_0(k5_group_4(sK2,sK5))
| ~ spl21_23
| ~ spl21_187 ),
inference(resolution,[],[f1396,f350]) ).
fof(f1396,plain,
( l1_group_1(k5_group_4(sK2,sK5))
| ~ spl21_187 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1412,plain,
( spl21_190
| ~ spl21_12
| ~ spl21_134 ),
inference(avatar_split_clause,[],[f1046,f1025,f297,f1410]) ).
fof(f1410,plain,
( spl21_190
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_190])]) ).
fof(f297,plain,
( spl21_12
<=> m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f1046,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3))) )
| ~ spl21_12
| ~ spl21_134 ),
inference(resolution,[],[f1026,f299]) ).
fof(f299,plain,
( m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f1408,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_4
| ~ spl21_189
| ~ spl21_64
| ~ spl21_100 ),
inference(avatar_split_clause,[],[f798,f792,f572,f1405,f257,f247,f242]) ).
fof(f1405,plain,
( spl21_189
<=> v3_struct_0(k5_group_4(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_189])]) ).
fof(f798,plain,
( ~ v3_struct_0(k5_group_4(sK2,sK5))
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl21_64
| ~ spl21_100 ),
inference(resolution,[],[f794,f573]) ).
fof(f794,plain,
( m1_group_2(k5_group_4(sK2,sK5),sK2)
| ~ spl21_100 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1403,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_4
| spl21_188
| ~ spl21_65
| ~ spl21_100 ),
inference(avatar_split_clause,[],[f797,f792,f576,f1400,f257,f247,f242]) ).
fof(f1400,plain,
( spl21_188
<=> v3_group_1(k5_group_4(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_188])]) ).
fof(f797,plain,
( v3_group_1(k5_group_4(sK2,sK5))
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl21_65
| ~ spl21_100 ),
inference(resolution,[],[f794,f577]) ).
fof(f1397,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_4
| spl21_187
| ~ spl21_66
| ~ spl21_100 ),
inference(avatar_split_clause,[],[f796,f792,f580,f1394,f257,f247,f242]) ).
fof(f796,plain,
( l1_group_1(k5_group_4(sK2,sK5))
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl21_66
| ~ spl21_100 ),
inference(resolution,[],[f794,f581]) ).
fof(f1389,plain,
( spl21_186
| ~ spl21_94
| ~ spl21_125 ),
inference(avatar_split_clause,[],[f995,f970,f759,f1387]) ).
fof(f759,plain,
( spl21_94
<=> r2_hidden(sK5,k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_94])]) ).
fof(f995,plain,
( ! [X0] :
( m1_subset_1(sK5,X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0) )
| ~ spl21_94
| ~ spl21_125 ),
inference(resolution,[],[f971,f761]) ).
fof(f761,plain,
( r2_hidden(sK5,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_94 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f1377,plain,
( spl21_185
| ~ spl21_94
| ~ spl21_120 ),
inference(avatar_split_clause,[],[f952,f945,f759,f1375]) ).
fof(f952,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK2)),X0) )
| ~ spl21_94
| ~ spl21_120 ),
inference(resolution,[],[f946,f761]) ).
fof(f1366,plain,
( spl21_184
| ~ spl21_86
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f729,f725,f688,f1364]) ).
fof(f688,plain,
( spl21_86
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_86])]) ).
fof(f725,plain,
( spl21_89
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_89])]) ).
fof(f729,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,k2_funct_2(X2,u1_struct_0(X1),X3,X4),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_relset_1(X3,X2,u1_struct_0(X1))
| ~ v1_funct_2(X3,X2,u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ spl21_86
| ~ spl21_89 ),
inference(resolution,[],[f726,f689]) ).
fof(f689,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) )
| ~ spl21_86 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f726,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| sP1(X0,X1,X2)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_89 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f1356,plain,
( spl21_183
| ~ spl21_83
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f713,f688,f676,f1354]) ).
fof(f676,plain,
( spl21_83
<=> ! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_83])]) ).
fof(f713,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| m1_group_2(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)),X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_83
| ~ spl21_86 ),
inference(resolution,[],[f689,f677]) ).
fof(f677,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_83 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1349,plain,
( ~ spl21_97
| ~ spl21_37
| ~ spl21_94 ),
inference(avatar_split_clause,[],[f768,f759,f415,f777]) ).
fof(f777,plain,
( spl21_97
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_97])]) ).
fof(f768,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),sK5)
| ~ spl21_37
| ~ spl21_94 ),
inference(resolution,[],[f761,f416]) ).
fof(f1348,plain,
( spl21_182
| ~ spl21_82
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f714,f688,f664,f1346]) ).
fof(f664,plain,
( spl21_82
<=> ! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_82])]) ).
fof(f714,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_1(X0)
| v1_group_1(k5_group_4(X2,k2_funct_2(X1,u1_struct_0(X2),X0,X3)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_82
| ~ spl21_86 ),
inference(resolution,[],[f689,f665]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_82 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1344,plain,
( spl21_181
| ~ spl21_63
| ~ spl21_74 ),
inference(avatar_split_clause,[],[f622,f619,f568,f1342]) ).
fof(f619,plain,
( spl21_74
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v1_group_1(sK8(X0,X1,X2))
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_74])]) ).
fof(f622,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| sK8(X0,X1,X2) = g1_group_1(u1_struct_0(sK8(X0,X1,X2)),u1_group_1(sK8(X0,X1,X2)))
| ~ l1_group_1(sK8(X0,X1,X2)) )
| ~ spl21_63
| ~ spl21_74 ),
inference(resolution,[],[f620,f569]) ).
fof(f620,plain,
( ! [X2,X0,X1] :
( v1_group_1(sK8(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_74 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f1338,plain,
( spl21_180
| ~ spl21_42
| ~ spl21_85 ),
inference(avatar_split_clause,[],[f708,f684,f435,f1336]) ).
fof(f435,plain,
( spl21_42
<=> ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_42])]) ).
fof(f708,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_42
| ~ spl21_85 ),
inference(resolution,[],[f685,f436]) ).
fof(f436,plain,
( ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1)
| ~ spl21_42 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1334,plain,
( spl21_179
| ~ spl21_41
| ~ spl21_85 ),
inference(avatar_split_clause,[],[f707,f684,f431,f1332]) ).
fof(f1332,plain,
( spl21_179
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_179])]) ).
fof(f431,plain,
( spl21_41
<=> ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_41])]) ).
fof(f707,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_41
| ~ spl21_85 ),
inference(resolution,[],[f685,f432]) ).
fof(f432,plain,
( ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1)
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1330,plain,
( spl21_178
| ~ spl21_40
| ~ spl21_85 ),
inference(avatar_split_clause,[],[f706,f684,f427,f1328]) ).
fof(f1328,plain,
( spl21_178
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_178])]) ).
fof(f427,plain,
( spl21_40
<=> ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).
fof(f706,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_40
| ~ spl21_85 ),
inference(resolution,[],[f685,f428]) ).
fof(f428,plain,
( ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1)
| ~ spl21_40 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f1326,plain,
( spl21_177
| ~ spl21_42
| ~ spl21_84 ),
inference(avatar_split_clause,[],[f705,f680,f435,f1324]) ).
fof(f705,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_42
| ~ spl21_84 ),
inference(resolution,[],[f681,f436]) ).
fof(f1322,plain,
( spl21_176
| ~ spl21_41
| ~ spl21_84 ),
inference(avatar_split_clause,[],[f704,f680,f431,f1320]) ).
fof(f1320,plain,
( spl21_176
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_176])]) ).
fof(f704,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_41
| ~ spl21_84 ),
inference(resolution,[],[f681,f432]) ).
fof(f1318,plain,
( spl21_175
| ~ spl21_40
| ~ spl21_84 ),
inference(avatar_split_clause,[],[f703,f680,f427,f1316]) ).
fof(f1316,plain,
( spl21_175
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_175])]) ).
fof(f703,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl21_40
| ~ spl21_84 ),
inference(resolution,[],[f681,f428]) ).
fof(f1313,plain,
( spl21_174
| ~ spl21_42
| ~ spl21_88 ),
inference(avatar_split_clause,[],[f722,f717,f435,f1311]) ).
fof(f722,plain,
( ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK15(X0,X1),X2) = k9_relat_1(sK15(X0,X1),X2)
| ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1)) )
| ~ spl21_42
| ~ spl21_88 ),
inference(resolution,[],[f718,f436]) ).
fof(f1309,plain,
( spl21_173
| ~ spl21_41
| ~ spl21_88 ),
inference(avatar_split_clause,[],[f721,f717,f431,f1307]) ).
fof(f1307,plain,
( spl21_173
<=> ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK14(X0,X1),X2) = k9_relat_1(sK14(X0,X1),X2)
| ~ v1_funct_2(sK14(X0,X1),X0,X1)
| ~ v1_funct_1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_173])]) ).
fof(f721,plain,
( ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK14(X0,X1),X2) = k9_relat_1(sK14(X0,X1),X2)
| ~ v1_funct_2(sK14(X0,X1),X0,X1)
| ~ v1_funct_1(sK14(X0,X1)) )
| ~ spl21_41
| ~ spl21_88 ),
inference(resolution,[],[f718,f432]) ).
fof(f1305,plain,
( spl21_172
| ~ spl21_40
| ~ spl21_88 ),
inference(avatar_split_clause,[],[f720,f717,f427,f1303]) ).
fof(f1303,plain,
( spl21_172
<=> ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK13(X0,X1),X2) = k9_relat_1(sK13(X0,X1),X2)
| ~ v1_funct_2(sK13(X0,X1),X0,X1)
| ~ v1_funct_1(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_172])]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( k2_funct_2(X0,X1,sK13(X0,X1),X2) = k9_relat_1(sK13(X0,X1),X2)
| ~ v1_funct_2(sK13(X0,X1),X0,X1)
| ~ v1_funct_1(sK13(X0,X1)) )
| ~ spl21_40
| ~ spl21_88 ),
inference(resolution,[],[f718,f428]) ).
fof(f1299,plain,
( spl21_171
| ~ spl21_44
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f731,f725,f443,f1297]) ).
fof(f443,plain,
( spl21_44
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_44])]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK6(u1_struct_0(X1)),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl21_44
| ~ spl21_89 ),
inference(resolution,[],[f726,f444]) ).
fof(f444,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl21_44 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f1295,plain,
( spl21_170
| ~ spl21_54
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f712,f688,f494,f1293]) ).
fof(f1293,plain,
( spl21_170
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,k2_zfmisc_1(X2,X3))
| ~ v1_funct_2(X0,X1,k2_zfmisc_1(X2,X3))
| ~ v1_funct_1(X0)
| v1_relat_1(k2_funct_2(X1,k2_zfmisc_1(X2,X3),X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_170])]) ).
fof(f494,plain,
( spl21_54
<=> ! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).
fof(f712,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,k2_zfmisc_1(X2,X3))
| ~ v1_funct_2(X0,X1,k2_zfmisc_1(X2,X3))
| ~ v1_funct_1(X0)
| v1_relat_1(k2_funct_2(X1,k2_zfmisc_1(X2,X3),X0,X4)) )
| ~ spl21_54
| ~ spl21_86 ),
inference(resolution,[],[f689,f495]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f1277,plain,
( spl21_169
| ~ spl21_48
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f728,f725,f459,f1275]) ).
fof(f459,plain,
( spl21_48
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_48])]) ).
fof(f728,plain,
( ! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ r1_tarski(X2,u1_struct_0(X1)) )
| ~ spl21_48
| ~ spl21_89 ),
inference(resolution,[],[f726,f460]) ).
fof(f460,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl21_48 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f1273,plain,
( spl21_168
| ~ spl21_51
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f715,f688,f481,f1271]) ).
fof(f481,plain,
( spl21_51
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).
fof(f715,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) )
| ~ spl21_51
| ~ spl21_86 ),
inference(resolution,[],[f689,f482]) ).
fof(f482,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl21_51 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f1263,plain,
( spl21_167
| ~ spl21_100
| ~ spl21_136 ),
inference(avatar_split_clause,[],[f1085,f1033,f792,f1260]) ).
fof(f1033,plain,
( spl21_136
<=> sK5 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_136])]) ).
fof(f1085,plain,
( m1_group_2(k5_group_4(sK2,sK19),sK2)
| ~ spl21_100
| ~ spl21_136 ),
inference(superposition,[],[f794,f1035]) ).
fof(f1035,plain,
( sK5 = sK19
| ~ spl21_136 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1253,plain,
( spl21_166
| ~ spl21_58
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f735,f725,f532,f1251]) ).
fof(f532,plain,
( spl21_58
<=> ! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_58])]) ).
fof(f735,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK7(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ spl21_58
| ~ spl21_89 ),
inference(duplicate_literal_removal,[],[f732]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK7(X1),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl21_58
| ~ spl21_89 ),
inference(resolution,[],[f726,f533]) ).
fof(f533,plain,
( ! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl21_58 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f1249,plain,
( spl21_165
| ~ spl21_24
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f733,f725,f353,f1247]) ).
fof(f353,plain,
( spl21_24
<=> ! [X0] : m1_subset_1(sK10(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK10(k1_zfmisc_1(u1_struct_0(X1))),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl21_24
| ~ spl21_89 ),
inference(resolution,[],[f726,f354]) ).
fof(f354,plain,
( ! [X0] : m1_subset_1(sK10(X0),X0)
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f1245,plain,
( spl21_164
| ~ spl21_61
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f709,f688,f544,f1243]) ).
fof(f544,plain,
( spl21_61
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).
fof(f709,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(X3,X2)
| ~ r2_hidden(X3,k2_funct_2(X1,X2,X0,X4)) )
| ~ spl21_61
| ~ spl21_86 ),
inference(resolution,[],[f689,f545]) ).
fof(f545,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl21_61 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f1237,plain,
( ~ spl21_20
| ~ spl21_95 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| ~ spl21_20
| ~ spl21_95 ),
inference(resolution,[],[f765,f338]) ).
fof(f338,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl21_20
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f765,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_95 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1232,plain,
( spl21_163
| ~ spl21_94
| ~ spl21_136 ),
inference(avatar_split_clause,[],[f1083,f1033,f759,f1229]) ).
fof(f1083,plain,
( r2_hidden(sK19,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_94
| ~ spl21_136 ),
inference(superposition,[],[f761,f1035]) ).
fof(f1226,plain,
( spl21_162
| ~ spl21_57
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f710,f688,f522,f1224]) ).
fof(f522,plain,
( spl21_57
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X3,k2_funct_2(X1,X2,X0,X4)) )
| ~ spl21_57
| ~ spl21_86 ),
inference(resolution,[],[f689,f523]) ).
fof(f523,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl21_57 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f1222,plain,
( spl21_161
| ~ spl21_64
| ~ spl21_75 ),
inference(avatar_split_clause,[],[f637,f624,f572,f1220]) ).
fof(f1220,plain,
( spl21_161
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ v3_struct_0(sK8(X0,X1,X2))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_161])]) ).
fof(f624,plain,
( spl21_75
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| m1_group_2(sK8(X0,X1,X2),X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_75])]) ).
fof(f637,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ v3_struct_0(sK8(X0,X1,X2))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_64
| ~ spl21_75 ),
inference(resolution,[],[f625,f573]) ).
fof(f625,plain,
( ! [X2,X0,X1] :
( m1_group_2(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_75 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f1218,plain,
( spl21_160
| ~ spl21_65
| ~ spl21_75 ),
inference(avatar_split_clause,[],[f636,f624,f576,f1216]) ).
fof(f1216,plain,
( spl21_160
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| v3_group_1(sK8(X0,X1,X2))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_160])]) ).
fof(f636,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| v3_group_1(sK8(X0,X1,X2))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_65
| ~ spl21_75 ),
inference(resolution,[],[f625,f577]) ).
fof(f1214,plain,
( spl21_159
| ~ spl21_66
| ~ spl21_75 ),
inference(avatar_split_clause,[],[f635,f624,f580,f1212]) ).
fof(f635,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ r1_tarski(X1,u1_struct_0(X0))
| l1_group_1(sK8(X0,X1,X2))
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ spl21_66
| ~ spl21_75 ),
inference(resolution,[],[f625,f581]) ).
fof(f1201,plain,
( spl21_158
| ~ spl21_44
| ~ spl21_83 ),
inference(avatar_split_clause,[],[f697,f676,f443,f1199]) ).
fof(f697,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK6(u1_struct_0(X0))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl21_44
| ~ spl21_83 ),
inference(resolution,[],[f677,f444]) ).
fof(f1197,plain,
( spl21_157
| ~ spl21_42
| ~ spl21_81 ),
inference(avatar_split_clause,[],[f661,f652,f435,f1195]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_42
| ~ spl21_81 ),
inference(resolution,[],[f653,f436]) ).
fof(f1193,plain,
( spl21_156
| ~ spl21_41
| ~ spl21_81 ),
inference(avatar_split_clause,[],[f660,f652,f431,f1191]) ).
fof(f1191,plain,
( spl21_156
<=> ! [X0,X1] :
( ~ v1_funct_2(sK14(X0,X1),X0,X1)
| ~ v1_funct_1(sK14(X0,X1))
| ~ v1_xboole_0(sK14(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_156])]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK14(X0,X1),X0,X1)
| ~ v1_funct_1(sK14(X0,X1))
| ~ v1_xboole_0(sK14(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_41
| ~ spl21_81 ),
inference(resolution,[],[f653,f432]) ).
fof(f1189,plain,
( spl21_155
| ~ spl21_40
| ~ spl21_81 ),
inference(avatar_split_clause,[],[f659,f652,f427,f1187]) ).
fof(f1187,plain,
( spl21_155
<=> ! [X0,X1] :
( ~ v1_funct_2(sK13(X0,X1),X0,X1)
| ~ v1_funct_1(sK13(X0,X1))
| ~ v1_xboole_0(sK13(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_155])]) ).
fof(f659,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK13(X0,X1),X0,X1)
| ~ v1_funct_1(sK13(X0,X1))
| ~ v1_xboole_0(sK13(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl21_40
| ~ spl21_81 ),
inference(resolution,[],[f653,f428]) ).
fof(f1185,plain,
( spl21_154
| ~ spl21_42
| ~ spl21_80 ),
inference(avatar_split_clause,[],[f657,f647,f435,f1183]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_42
| ~ spl21_80 ),
inference(resolution,[],[f648,f436]) ).
fof(f1181,plain,
( spl21_153
| ~ spl21_41
| ~ spl21_80 ),
inference(avatar_split_clause,[],[f656,f647,f431,f1179]) ).
fof(f1179,plain,
( spl21_153
<=> ! [X0,X1] :
( ~ v1_funct_2(sK14(X0,X1),X0,X1)
| ~ v1_funct_1(sK14(X0,X1))
| v1_partfun1(sK14(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_153])]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK14(X0,X1),X0,X1)
| ~ v1_funct_1(sK14(X0,X1))
| v1_partfun1(sK14(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_41
| ~ spl21_80 ),
inference(resolution,[],[f648,f432]) ).
fof(f1177,plain,
( spl21_152
| ~ spl21_40
| ~ spl21_80 ),
inference(avatar_split_clause,[],[f655,f647,f427,f1175]) ).
fof(f1175,plain,
( spl21_152
<=> ! [X0,X1] :
( ~ v1_funct_2(sK13(X0,X1),X0,X1)
| ~ v1_funct_1(sK13(X0,X1))
| v1_partfun1(sK13(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_152])]) ).
fof(f655,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK13(X0,X1),X0,X1)
| ~ v1_funct_1(sK13(X0,X1))
| v1_partfun1(sK13(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl21_40
| ~ spl21_80 ),
inference(resolution,[],[f648,f428]) ).
fof(f1171,plain,
( spl21_151
| ~ spl21_96
| ~ spl21_136 ),
inference(avatar_split_clause,[],[f1084,f1033,f771,f1168]) ).
fof(f1168,plain,
( spl21_151
<=> v1_group_1(k5_group_4(sK2,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_151])]) ).
fof(f1084,plain,
( v1_group_1(k5_group_4(sK2,sK19))
| ~ spl21_96
| ~ spl21_136 ),
inference(superposition,[],[f773,f1035]) ).
fof(f1157,plain,
( spl21_150
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f736,f725,f398,f394,f341,f322,f1155]) ).
fof(f322,plain,
( spl21_17
<=> v1_xboole_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f341,plain,
( spl21_21
<=> ! [X0] : v1_xboole_0(sK11(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f394,plain,
( spl21_33
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
fof(f736,plain,
( ! [X0,X1] :
( sP1(X1,sK19,X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_89 ),
inference(forward_demodulation,[],[f734,f408]) ).
fof(f408,plain,
( ! [X0] : sK11(X0) = sK19
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33 ),
inference(forward_demodulation,[],[f407,f406]) ).
fof(f406,plain,
( k1_xboole_0 = sK19
| ~ spl21_17
| ~ spl21_33 ),
inference(resolution,[],[f395,f324]) ).
fof(f324,plain,
( v1_xboole_0(sK19)
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f395,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl21_33 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f407,plain,
( ! [X0] : k1_xboole_0 = sK11(X0)
| ~ spl21_21
| ~ spl21_33 ),
inference(resolution,[],[f395,f342]) ).
fof(f342,plain,
( ! [X0] : v1_xboole_0(sK11(X0))
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f734,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| sP1(X1,sK11(u1_struct_0(X1)),X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl21_34
| ~ spl21_89 ),
inference(resolution,[],[f726,f399]) ).
fof(f1153,plain,
( spl21_149
| ~ spl21_47
| ~ spl21_86 ),
inference(avatar_split_clause,[],[f711,f688,f455,f1151]) ).
fof(f1151,plain,
( spl21_149
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| r1_tarski(k2_funct_2(X1,X2,X0,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_149])]) ).
fof(f455,plain,
( spl21_47
<=> ! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_47])]) ).
fof(f711,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| r1_tarski(k2_funct_2(X1,X2,X0,X3),X2) )
| ~ spl21_47
| ~ spl21_86 ),
inference(resolution,[],[f689,f456]) ).
fof(f456,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
| ~ spl21_47 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f1149,plain,
( spl21_148
| ~ spl21_48
| ~ spl21_83 ),
inference(avatar_split_clause,[],[f695,f676,f459,f1147]) ).
fof(f695,plain,
( ! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_48
| ~ spl21_83 ),
inference(resolution,[],[f677,f460]) ).
fof(f1145,plain,
( spl21_147
| ~ spl21_44
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f669,f664,f443,f1143]) ).
fof(f669,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK6(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl21_44
| ~ spl21_82 ),
inference(resolution,[],[f665,f444]) ).
fof(f1129,plain,
( spl21_1
| ~ spl21_29
| ~ spl21_45
| ~ spl21_70 ),
inference(avatar_split_clause,[],[f868,f601,f447,f376,f242]) ).
fof(f376,plain,
( spl21_29
<=> l1_struct_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f868,plain,
( ~ l1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ spl21_45
| ~ spl21_70 ),
inference(resolution,[],[f602,f448]) ).
fof(f602,plain,
( v1_xboole_0(u1_struct_0(sK2))
| ~ spl21_70 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f1120,plain,
( spl21_146
| ~ spl21_58
| ~ spl21_83 ),
inference(avatar_split_clause,[],[f701,f676,f532,f1118]) ).
fof(f701,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK7(X0)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl21_58
| ~ spl21_83 ),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f698,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK7(X0)),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl21_58
| ~ spl21_83 ),
inference(resolution,[],[f677,f533]) ).
fof(f1116,plain,
( spl21_145
| ~ spl21_24
| ~ spl21_83 ),
inference(avatar_split_clause,[],[f699,f676,f353,f1114]) ).
fof(f699,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_24
| ~ spl21_83 ),
inference(resolution,[],[f677,f354]) ).
fof(f1112,plain,
( spl21_144
| ~ spl21_48
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f667,f664,f459,f1110]) ).
fof(f667,plain,
( ! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl21_48
| ~ spl21_82 ),
inference(resolution,[],[f665,f460]) ).
fof(f1101,plain,
( spl21_143
| ~ spl21_58
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f673,f664,f532,f1099]) ).
fof(f673,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl21_58
| ~ spl21_82 ),
inference(duplicate_literal_removal,[],[f670]) ).
fof(f670,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK7(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl21_58
| ~ spl21_82 ),
inference(resolution,[],[f665,f533]) ).
fof(f1097,plain,
( spl21_142
| ~ spl21_24
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f671,f664,f353,f1095]) ).
fof(f671,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK10(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_24
| ~ spl21_82 ),
inference(resolution,[],[f665,f354]) ).
fof(f1093,plain,
( spl21_141
| ~ spl21_51
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f553,f540,f481,f1091]) ).
fof(f540,plain,
( spl21_60
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl21_51
| ~ spl21_60 ),
inference(resolution,[],[f541,f482]) ).
fof(f541,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl21_60 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f1073,plain,
( spl21_140
| ~ spl21_51
| ~ spl21_58 ),
inference(avatar_split_clause,[],[f549,f532,f481,f1071]) ).
fof(f549,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl21_51
| ~ spl21_58 ),
inference(resolution,[],[f533,f482]) ).
fof(f1063,plain,
( spl21_139
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_83 ),
inference(avatar_split_clause,[],[f702,f676,f398,f394,f341,f322,f1061]) ).
fof(f702,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK19),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_83 ),
inference(forward_demodulation,[],[f700,f408]) ).
fof(f700,plain,
( ! [X0] :
( m1_group_2(k5_group_4(X0,sK11(u1_struct_0(X0))),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_34
| ~ spl21_83 ),
inference(resolution,[],[f677,f399]) ).
fof(f1044,plain,
( spl21_138
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f674,f664,f398,f394,f341,f322,f1042]) ).
fof(f674,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK19))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_82 ),
inference(forward_demodulation,[],[f672,f408]) ).
fof(f672,plain,
( ! [X0] :
( v1_group_1(k5_group_4(X0,sK11(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_34
| ~ spl21_82 ),
inference(resolution,[],[f665,f399]) ).
fof(f1040,plain,
( spl21_137
| ~ spl21_55
| ~ spl21_68 ),
inference(avatar_split_clause,[],[f613,f594,f498,f1038]) ).
fof(f498,plain,
( spl21_55
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
fof(f613,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl21_55
| ~ spl21_68 ),
inference(resolution,[],[f595,f499]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl21_55 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f1036,plain,
( spl21_136
| ~ spl21_104
| ~ spl21_116 ),
inference(avatar_split_clause,[],[f936,f902,f816,f1033]) ).
fof(f816,plain,
( spl21_104
<=> ! [X0] :
( sK19 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).
fof(f936,plain,
( sK5 = sK19
| ~ spl21_104
| ~ spl21_116 ),
inference(resolution,[],[f904,f817]) ).
fof(f817,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK19 = X0 )
| ~ spl21_104 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f904,plain,
( v1_xboole_0(sK5)
| ~ spl21_116 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f1031,plain,
( spl21_135
| ~ spl21_58
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f558,f544,f532,f1029]) ).
fof(f558,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK7(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl21_58
| ~ spl21_61 ),
inference(resolution,[],[f545,f533]) ).
fof(f1027,plain,
( spl21_134
| ~ spl21_60
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f555,f544,f540,f1025]) ).
fof(f555,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl21_60
| ~ spl21_61 ),
inference(resolution,[],[f545,f541]) ).
fof(f1023,plain,
( spl21_133
| ~ spl21_57
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f551,f540,f522,f1021]) ).
fof(f1021,plain,
( spl21_133
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_133])]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl21_57
| ~ spl21_60 ),
inference(resolution,[],[f541,f523]) ).
fof(f1009,plain,
( spl21_132
| ~ spl21_44
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f507,f481,f443,f1007]) ).
fof(f507,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl21_44
| ~ spl21_51 ),
inference(resolution,[],[f482,f444]) ).
fof(f1005,plain,
( spl21_131
| ~ spl21_48
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f505,f481,f459,f1003]) ).
fof(f505,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl21_48
| ~ spl21_51 ),
inference(resolution,[],[f482,f460]) ).
fof(f993,plain,
( spl21_130
| ~ spl21_59
| ~ spl21_66 ),
inference(avatar_split_clause,[],[f588,f580,f536,f991]) ).
fof(f536,plain,
( spl21_59
<=> ! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_59])]) ).
fof(f588,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59
| ~ spl21_66 ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f587,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59
| ~ spl21_66 ),
inference(resolution,[],[f581,f537]) ).
fof(f537,plain,
( ! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f989,plain,
( spl21_129
| ~ spl21_59
| ~ spl21_65 ),
inference(avatar_split_clause,[],[f586,f576,f536,f987]) ).
fof(f987,plain,
( spl21_129
<=> ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_129])]) ).
fof(f586,plain,
( ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59
| ~ spl21_65 ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f585,plain,
( ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59
| ~ spl21_65 ),
inference(resolution,[],[f577,f537]) ).
fof(f985,plain,
( spl21_128
| ~ spl21_59
| ~ spl21_64 ),
inference(avatar_split_clause,[],[f584,f572,f536,f983]) ).
fof(f983,plain,
( spl21_128
<=> ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_128])]) ).
fof(f584,plain,
( ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59
| ~ spl21_64 ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f583,plain,
( ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl21_59
| ~ spl21_64 ),
inference(resolution,[],[f573,f537]) ).
fof(f981,plain,
( spl21_127
| ~ spl21_44
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f557,f544,f443,f979]) ).
fof(f557,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(X1) )
| ~ spl21_44
| ~ spl21_61 ),
inference(resolution,[],[f545,f444]) ).
fof(f977,plain,
( spl21_126
| ~ spl21_12
| ~ spl21_115 ),
inference(avatar_split_clause,[],[f916,f893,f297,f974]) ).
fof(f916,plain,
( v1_relat_1(sK4)
| ~ spl21_12
| ~ spl21_115 ),
inference(resolution,[],[f894,f299]) ).
fof(f972,plain,
( spl21_125
| ~ spl21_48
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f554,f544,f459,f970]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl21_48
| ~ spl21_61 ),
inference(resolution,[],[f545,f460]) ).
fof(f968,plain,
( spl21_124
| ~ spl21_47
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f552,f540,f455,f966]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_47
| ~ spl21_60 ),
inference(resolution,[],[f541,f456]) ).
fof(f964,plain,
( spl21_123
| ~ spl21_47
| ~ spl21_58 ),
inference(avatar_split_clause,[],[f548,f532,f455,f962]) ).
fof(f962,plain,
( spl21_123
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK7(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_123])]) ).
fof(f548,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK7(X0),u1_struct_0(X0)) )
| ~ spl21_47
| ~ spl21_58 ),
inference(resolution,[],[f533,f456]) ).
fof(f960,plain,
( spl21_122
| ~ spl21_44
| ~ spl21_54 ),
inference(avatar_split_clause,[],[f512,f494,f443,f958]) ).
fof(f958,plain,
( spl21_122
<=> ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_122])]) ).
fof(f512,plain,
( ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl21_44
| ~ spl21_54 ),
inference(resolution,[],[f495,f444]) ).
fof(f951,plain,
( spl21_121
| ~ spl21_24
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f559,f544,f353,f949]) ).
fof(f559,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1))) )
| ~ spl21_24
| ~ spl21_61 ),
inference(resolution,[],[f545,f354]) ).
fof(f947,plain,
( spl21_120
| ~ spl21_48
| ~ spl21_57 ),
inference(avatar_split_clause,[],[f525,f522,f459,f945]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl21_48
| ~ spl21_57 ),
inference(resolution,[],[f523,f460]) ).
fof(f932,plain,
( spl21_119
| ~ spl21_24
| ~ spl21_57 ),
inference(avatar_split_clause,[],[f528,f522,f353,f930]) ).
fof(f528,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0))) )
| ~ spl21_24
| ~ spl21_57 ),
inference(resolution,[],[f523,f354]) ).
fof(f928,plain,
( spl21_118
| ~ spl21_48
| ~ spl21_54 ),
inference(avatar_split_clause,[],[f511,f494,f459,f926]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl21_48
| ~ spl21_54 ),
inference(resolution,[],[f495,f460]) ).
fof(f924,plain,
( spl21_117
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f510,f481,f398,f394,f341,f322,f922]) ).
fof(f510,plain,
( ! [X0] :
( r2_hidden(sK19,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_51 ),
inference(forward_demodulation,[],[f509,f408]) ).
fof(f509,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK11(X0),k1_zfmisc_1(X0)) )
| ~ spl21_34
| ~ spl21_51 ),
inference(resolution,[],[f482,f399]) ).
fof(f905,plain,
( spl21_116
| ~ spl21_69
| ~ spl21_108 ),
inference(avatar_split_clause,[],[f900,f861,f598,f902]) ).
fof(f900,plain,
( v1_xboole_0(sK5)
| ~ spl21_69
| ~ spl21_108 ),
inference(resolution,[],[f862,f599]) ).
fof(f599,plain,
( ! [X0] : ~ r2_hidden(X0,sK5)
| ~ spl21_69 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f895,plain,
( spl21_115
| ~ spl21_54
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f550,f540,f494,f893]) ).
fof(f550,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl21_54
| ~ spl21_60 ),
inference(resolution,[],[f541,f495]) ).
fof(f891,plain,
( spl21_114
| ~ spl21_42
| ~ spl21_56 ),
inference(avatar_split_clause,[],[f520,f502,f435,f889]) ).
fof(f502,plain,
( spl21_56
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).
fof(f520,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl21_42
| ~ spl21_56 ),
inference(resolution,[],[f503,f436]) ).
fof(f503,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl21_56 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f887,plain,
( spl21_113
| ~ spl21_41
| ~ spl21_56 ),
inference(avatar_split_clause,[],[f519,f502,f431,f885]) ).
fof(f519,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl21_41
| ~ spl21_56 ),
inference(resolution,[],[f503,f432]) ).
fof(f883,plain,
( spl21_112
| ~ spl21_40
| ~ spl21_56 ),
inference(avatar_split_clause,[],[f518,f502,f427,f881]) ).
fof(f518,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl21_40
| ~ spl21_56 ),
inference(resolution,[],[f503,f428]) ).
fof(f879,plain,
( spl21_111
| ~ spl21_39
| ~ spl21_55 ),
inference(avatar_split_clause,[],[f517,f498,f423,f877]) ).
fof(f517,plain,
( ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1)
| ~ spl21_39
| ~ spl21_55 ),
inference(resolution,[],[f499,f424]) ).
fof(f875,plain,
( spl21_110
| ~ spl21_24
| ~ spl21_54 ),
inference(avatar_split_clause,[],[f513,f494,f353,f873]) ).
fof(f873,plain,
( spl21_110
<=> ! [X0,X1] : v1_relat_1(sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_110])]) ).
fof(f513,plain,
( ! [X0,X1] : v1_relat_1(sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl21_24
| ~ spl21_54 ),
inference(resolution,[],[f495,f354]) ).
fof(f867,plain,
( spl21_70
| spl21_109
| ~ spl21_51
| ~ spl21_87 ),
inference(avatar_split_clause,[],[f745,f692,f481,f865,f601]) ).
fof(f692,plain,
( spl21_87
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK2))
| ~ r2_hidden(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).
fof(f745,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| v1_xboole_0(u1_struct_0(sK2))
| r2_hidden(X0,u1_struct_0(sK2)) )
| ~ spl21_51
| ~ spl21_87 ),
inference(resolution,[],[f693,f482]) ).
fof(f693,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK2))
| ~ r2_hidden(X0,sK5) )
| ~ spl21_87 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f863,plain,
( spl21_108
| ~ spl21_24
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f508,f481,f353,f861]) ).
fof(f508,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK10(X0),X0) )
| ~ spl21_24
| ~ spl21_51 ),
inference(resolution,[],[f482,f354]) ).
fof(f859,plain,
( spl21_107
| ~ spl21_44
| ~ spl21_47 ),
inference(avatar_split_clause,[],[f467,f455,f443,f857]) ).
fof(f857,plain,
( spl21_107
<=> ! [X0] :
( r1_tarski(sK6(X0),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_107])]) ).
fof(f467,plain,
( ! [X0] :
( r1_tarski(sK6(X0),X0)
| v1_xboole_0(X0) )
| ~ spl21_44
| ~ spl21_47 ),
inference(resolution,[],[f456,f444]) ).
fof(f834,plain,
( spl21_104
| ~ spl21_33
| ~ spl21_98 ),
inference(avatar_split_clause,[],[f832,f782,f394,f816]) ).
fof(f782,plain,
( spl21_98
<=> k1_xboole_0 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_98])]) ).
fof(f832,plain,
( ! [X0] :
( sK19 = X0
| ~ v1_xboole_0(X0) )
| ~ spl21_33
| ~ spl21_98 ),
inference(forward_demodulation,[],[f395,f784]) ).
fof(f784,plain,
( k1_xboole_0 = sK19
| ~ spl21_98 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f831,plain,
( ~ spl21_13
| ~ spl21_105 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| ~ spl21_13
| ~ spl21_105 ),
inference(resolution,[],[f821,f304]) ).
fof(f304,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl21_13
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f821,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl21_105 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl21_105
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_105])]) ).
fof(f830,plain,
( ~ spl21_17
| ~ spl21_105 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl21_17
| ~ spl21_105 ),
inference(resolution,[],[f821,f324]) ).
fof(f829,plain,
( ~ spl21_21
| ~ spl21_105 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl21_21
| ~ spl21_105 ),
inference(resolution,[],[f821,f342]) ).
fof(f825,plain,
( spl21_105
| spl21_106
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_57 ),
inference(avatar_split_clause,[],[f530,f522,f398,f394,f341,f322,f823,f820]) ).
fof(f823,plain,
( spl21_106
<=> ! [X1] : ~ r2_hidden(X1,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_106])]) ).
fof(f530,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK19)
| ~ v1_xboole_0(X0) )
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_57 ),
inference(forward_demodulation,[],[f529,f408]) ).
fof(f529,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK11(X0)) )
| ~ spl21_34
| ~ spl21_57 ),
inference(resolution,[],[f523,f399]) ).
fof(f818,plain,
( spl21_104
| ~ spl21_17
| ~ spl21_49 ),
inference(avatar_split_clause,[],[f473,f463,f322,f816]) ).
fof(f463,plain,
( spl21_49
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).
fof(f473,plain,
( ! [X0] :
( sK19 = X0
| ~ v1_xboole_0(X0) )
| ~ spl21_17
| ~ spl21_49 ),
inference(resolution,[],[f464,f324]) ).
fof(f464,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f814,plain,
( spl21_103
| ~ spl21_24
| ~ spl21_47 ),
inference(avatar_split_clause,[],[f468,f455,f353,f812]) ).
fof(f812,plain,
( spl21_103
<=> ! [X0] : r1_tarski(sK10(k1_zfmisc_1(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_103])]) ).
fof(f468,plain,
( ! [X0] : r1_tarski(sK10(k1_zfmisc_1(X0)),X0)
| ~ spl21_24
| ~ spl21_47 ),
inference(resolution,[],[f456,f354]) ).
fof(f808,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| spl21_102
| ~ spl21_10
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f730,f725,f287,f806,f257,f252,f247,f242]) ).
fof(f287,plain,
( spl21_10
<=> m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f730,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK2)
| ~ v1_group_1(X0)
| sP1(sK2,sK5,X0)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) )
| ~ spl21_10
| ~ spl21_89 ),
inference(resolution,[],[f726,f289]) ).
fof(f289,plain,
( m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f802,plain,
( spl21_101
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33 ),
inference(avatar_split_clause,[],[f408,f394,f341,f322,f800]) ).
fof(f795,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| spl21_100
| ~ spl21_10
| ~ spl21_83 ),
inference(avatar_split_clause,[],[f696,f676,f287,f792,f257,f252,f247,f242]) ).
fof(f696,plain,
( m1_group_2(k5_group_4(sK2,sK5),sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl21_10
| ~ spl21_83 ),
inference(resolution,[],[f677,f289]) ).
fof(f789,plain,
( spl21_99
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_47 ),
inference(avatar_split_clause,[],[f470,f455,f398,f394,f341,f322,f787]) ).
fof(f787,plain,
( spl21_99
<=> ! [X0] : r1_tarski(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_99])]) ).
fof(f470,plain,
( ! [X0] : r1_tarski(sK19,X0)
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_47 ),
inference(forward_demodulation,[],[f469,f408]) ).
fof(f469,plain,
( ! [X0] : r1_tarski(sK11(X0),X0)
| ~ spl21_34
| ~ spl21_47 ),
inference(resolution,[],[f456,f399]) ).
fof(f785,plain,
( spl21_98
| ~ spl21_17
| ~ spl21_33 ),
inference(avatar_split_clause,[],[f406,f394,f322,f782]) ).
fof(f780,plain,
( ~ spl21_97
| ~ spl21_37
| ~ spl21_94 ),
inference(avatar_split_clause,[],[f768,f759,f415,f777]) ).
fof(f774,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| spl21_96
| ~ spl21_10
| ~ spl21_82 ),
inference(avatar_split_clause,[],[f668,f664,f287,f771,f257,f252,f247,f242]) ).
fof(f668,plain,
( v1_group_1(k5_group_4(sK2,sK5))
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl21_10
| ~ spl21_82 ),
inference(resolution,[],[f665,f289]) ).
fof(f766,plain,
( spl21_94
| spl21_95
| ~ spl21_10
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f506,f481,f287,f763,f759]) ).
fof(f506,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK2)))
| r2_hidden(sK5,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl21_10
| ~ spl21_51 ),
inference(resolution,[],[f482,f289]) ).
fof(f757,plain,
( spl21_93
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_54 ),
inference(avatar_split_clause,[],[f515,f494,f398,f394,f341,f322,f754]) ).
fof(f754,plain,
( spl21_93
<=> v1_relat_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_93])]) ).
fof(f515,plain,
( v1_relat_1(sK19)
| ~ spl21_17
| ~ spl21_21
| ~ spl21_33
| ~ spl21_34
| ~ spl21_54 ),
inference(forward_demodulation,[],[f514,f408]) ).
fof(f514,plain,
( ! [X0,X1] : v1_relat_1(sK11(k2_zfmisc_1(X0,X1)))
| ~ spl21_34
| ~ spl21_54 ),
inference(resolution,[],[f495,f399]) ).
fof(f752,plain,
( spl21_92
| ~ spl21_16
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f374,f349,f317,f749]) ).
fof(f749,plain,
( spl21_92
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_92])]) ).
fof(f317,plain,
( spl21_16
<=> l1_group_1(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f374,plain,
( l1_struct_0(sK18)
| ~ spl21_16
| ~ spl21_23 ),
inference(resolution,[],[f350,f319]) ).
fof(f319,plain,
( l1_group_1(sK18)
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f744,plain,
spl21_91,
inference(avatar_split_clause,[],[f209,f742]) ).
fof(f742,plain,
( spl21_91
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_91])]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f740,plain,
spl21_90,
inference(avatar_split_clause,[],[f208,f738]) ).
fof(f738,plain,
( spl21_90
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_90])]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f727,plain,
spl21_89,
inference(avatar_split_clause,[],[f184,f725]) ).
fof(f184,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP1(X0,X1,X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f70,f107,f106]) ).
fof(f106,plain,
! [X2,X1,X0] :
( sP0(X2,X1,X0)
<=> ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( k5_group_4(X0,X1) = X2
<=> sP0(X2,X1,X0) )
| ~ sP1(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k5_group_4(X0,X1) = X2
<=> ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k5_group_4(X0,X1) = X2
<=> ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k5_group_4(X0,X1) = X2
<=> ( ! [X3] :
( ( m1_group_2(X3,X0)
& v1_group_1(X3) )
=> ( r1_tarski(X1,u1_struct_0(X3))
=> m1_group_2(X2,X3) ) )
& r1_tarski(X1,u1_struct_0(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_group_4) ).
fof(f719,plain,
spl21_88,
inference(avatar_split_clause,[],[f233,f717]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f694,plain,
( spl21_87
| ~ spl21_10
| ~ spl21_61 ),
inference(avatar_split_clause,[],[f556,f544,f287,f692]) ).
fof(f556,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK2))
| ~ r2_hidden(X0,sK5) )
| ~ spl21_10
| ~ spl21_61 ),
inference(resolution,[],[f545,f289]) ).
fof(f690,plain,
spl21_86,
inference(avatar_split_clause,[],[f232,f688]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_2) ).
fof(f686,plain,
spl21_85,
inference(avatar_split_clause,[],[f207,f684]) ).
fof(f207,plain,
! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f682,plain,
spl21_84,
inference(avatar_split_clause,[],[f206,f680]) ).
fof(f206,plain,
! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f678,plain,
spl21_83,
inference(avatar_split_clause,[],[f200,f676]) ).
fof(f200,plain,
! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f666,plain,
spl21_82,
inference(avatar_split_clause,[],[f199,f664]) ).
fof(f199,plain,
! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f654,plain,
spl21_81,
inference(avatar_split_clause,[],[f203,f652]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f649,plain,
spl21_80,
inference(avatar_split_clause,[],[f194,f647]) ).
fof(f194,plain,
! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f645,plain,
spl21_79,
inference(avatar_split_clause,[],[f179,f643]) ).
fof(f179,plain,
! [X2,X0,X1,X4] :
( m1_group_2(X0,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X2)
| ~ v1_group_1(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ~ m1_group_2(X0,sK8(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK8(X0,X1,X2)))
& m1_group_2(sK8(X0,X1,X2),X2)
& v1_group_1(sK8(X0,X1,X2)) )
| ~ r1_tarski(X1,u1_struct_0(X0)) )
& ( ( ! [X4] :
( m1_group_2(X0,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X2)
| ~ v1_group_1(X4) )
& r1_tarski(X1,u1_struct_0(X0)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f121,f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ m1_group_2(X0,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X2)
& v1_group_1(X3) )
=> ( ~ m1_group_2(X0,sK8(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK8(X0,X1,X2)))
& m1_group_2(sK8(X0,X1,X2),X2)
& v1_group_1(sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ~ m1_group_2(X0,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X2)
& v1_group_1(X3) )
| ~ r1_tarski(X1,u1_struct_0(X0)) )
& ( ( ! [X4] :
( m1_group_2(X0,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X2)
| ~ v1_group_1(X4) )
& r1_tarski(X1,u1_struct_0(X0)) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X2,X1,X0] :
( ( sP0(X2,X1,X0)
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r1_tarski(X1,u1_struct_0(X2)) )
& ( ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) )
| ~ sP0(X2,X1,X0) ) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X2,X1,X0] :
( ( sP0(X2,X1,X0)
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r1_tarski(X1,u1_struct_0(X2)) )
& ( ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) )
| ~ sP0(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f641,plain,
spl21_78,
inference(avatar_split_clause,[],[f182,f639]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| r1_tarski(X1,u1_struct_0(sK8(X0,X1,X2)))
| ~ r1_tarski(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f634,plain,
spl21_77,
inference(avatar_split_clause,[],[f226,f632]) ).
fof(f632,plain,
( spl21_77
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_77])]) ).
fof(f226,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f630,plain,
spl21_76,
inference(avatar_split_clause,[],[f183,f628]) ).
fof(f628,plain,
( spl21_76
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ m1_group_2(X0,sK8(X0,X1,X2))
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_76])]) ).
fof(f183,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ m1_group_2(X0,sK8(X0,X1,X2))
| ~ r1_tarski(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f626,plain,
spl21_75,
inference(avatar_split_clause,[],[f181,f624]) ).
fof(f181,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| m1_group_2(sK8(X0,X1,X2),X2)
| ~ r1_tarski(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f621,plain,
spl21_74,
inference(avatar_split_clause,[],[f180,f619]) ).
fof(f180,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v1_group_1(sK8(X0,X1,X2))
| ~ r1_tarski(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f617,plain,
spl21_73,
inference(avatar_split_clause,[],[f177,f615]) ).
fof(f177,plain,
! [X2,X0,X1] :
( k5_group_4(X0,X1) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( ( k5_group_4(X0,X1) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| k5_group_4(X0,X1) != X2 ) )
| ~ sP1(X0,X1,X2) ),
inference(nnf_transformation,[],[f107]) ).
fof(f612,plain,
spl21_72,
inference(avatar_split_clause,[],[f240,f610]) ).
fof(f240,plain,
! [X0,X1] :
( sP0(k5_group_4(X0,X1),X1,X0)
| ~ sP1(X0,X1,k5_group_4(X0,X1)) ),
inference(equality_resolution,[],[f176]) ).
fof(f176,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| k5_group_4(X0,X1) != X2
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f608,plain,
spl21_71,
inference(avatar_split_clause,[],[f223,f606]) ).
fof(f223,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f604,plain,
( spl21_69
| ~ spl21_70
| ~ spl21_10
| ~ spl21_57 ),
inference(avatar_split_clause,[],[f526,f522,f287,f601,f598]) ).
fof(f526,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ r2_hidden(X0,sK5) )
| ~ spl21_10
| ~ spl21_57 ),
inference(resolution,[],[f523,f289]) ).
fof(f596,plain,
spl21_68,
inference(avatar_split_clause,[],[f170,f594]) ).
fof(f170,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f592,plain,
spl21_67,
inference(avatar_split_clause,[],[f169,f590]) ).
fof(f590,plain,
( spl21_67
<=> ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_67])]) ).
fof(f169,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f582,plain,
spl21_66,
inference(avatar_split_clause,[],[f187,f580]) ).
fof(f187,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f578,plain,
spl21_65,
inference(avatar_split_clause,[],[f186,f576]) ).
fof(f186,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f574,plain,
spl21_64,
inference(avatar_split_clause,[],[f185,f572]) ).
fof(f185,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f570,plain,
spl21_63,
inference(avatar_split_clause,[],[f171,f568]) ).
fof(f171,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f566,plain,
( spl21_62
| ~ spl21_12
| ~ spl21_55 ),
inference(avatar_split_clause,[],[f516,f498,f297,f563]) ).
fof(f516,plain,
( m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ spl21_12
| ~ spl21_55 ),
inference(resolution,[],[f499,f299]) ).
fof(f546,plain,
spl21_61,
inference(avatar_split_clause,[],[f228,f544]) ).
fof(f228,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f542,plain,
spl21_60,
inference(avatar_split_clause,[],[f224,f540]) ).
fof(f224,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f538,plain,
spl21_59,
inference(avatar_split_clause,[],[f188,f536]) ).
fof(f188,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f74,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f534,plain,
spl21_58,
inference(avatar_split_clause,[],[f174,f532]) ).
fof(f174,plain,
! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f68,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f524,plain,
spl21_57,
inference(avatar_split_clause,[],[f231,f522]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f504,plain,
spl21_56,
inference(avatar_split_clause,[],[f230,f502]) ).
fof(f230,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f500,plain,
spl21_55,
inference(avatar_split_clause,[],[f229,f498]) ).
fof(f229,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f496,plain,
spl21_54,
inference(avatar_split_clause,[],[f227,f494]) ).
fof(f227,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f492,plain,
spl21_53,
inference(avatar_split_clause,[],[f201,f490]) ).
fof(f490,plain,
( spl21_53
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_53])]) ).
fof(f201,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f488,plain,
( spl21_52
| ~ spl21_10
| ~ spl21_47 ),
inference(avatar_split_clause,[],[f466,f455,f287,f485]) ).
fof(f485,plain,
( spl21_52
<=> r1_tarski(sK5,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_52])]) ).
fof(f466,plain,
( r1_tarski(sK5,u1_struct_0(sK2))
| ~ spl21_10
| ~ spl21_47 ),
inference(resolution,[],[f456,f289]) ).
fof(f483,plain,
spl21_51,
inference(avatar_split_clause,[],[f198,f481]) ).
fof(f198,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f479,plain,
spl21_50,
inference(avatar_split_clause,[],[f178,f477]) ).
fof(f178,plain,
! [X2,X0,X1] :
( r1_tarski(X1,u1_struct_0(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f465,plain,
spl21_49,
inference(avatar_split_clause,[],[f212,f463]) ).
fof(f212,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f461,plain,
spl21_48,
inference(avatar_split_clause,[],[f211,f459]) ).
fof(f211,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f457,plain,
spl21_47,
inference(avatar_split_clause,[],[f210,f455]) ).
fof(f210,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f453,plain,
spl21_46,
inference(avatar_split_clause,[],[f175,f451]) ).
fof(f451,plain,
( spl21_46
<=> ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).
fof(f175,plain,
! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f449,plain,
spl21_45,
inference(avatar_split_clause,[],[f173,f447]) ).
fof(f173,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f445,plain,
spl21_44,
inference(avatar_split_clause,[],[f165,f443]) ).
fof(f165,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f59,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f441,plain,
spl21_43,
inference(avatar_split_clause,[],[f222,f439]) ).
fof(f222,plain,
! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( v1_funct_2(sK15(X0,X1),X0,X1)
& v1_funct_1(sK15(X0,X1))
& v1_relat_1(sK15(X0,X1))
& m1_relset_1(sK15(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f36,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK15(X0,X1),X0,X1)
& v1_funct_1(sK15(X0,X1))
& v1_relat_1(sK15(X0,X1))
& m1_relset_1(sK15(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f437,plain,
spl21_42,
inference(avatar_split_clause,[],[f219,f435]) ).
fof(f219,plain,
! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f138]) ).
fof(f433,plain,
spl21_41,
inference(avatar_split_clause,[],[f216,f431]) ).
fof(f216,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( v1_funct_1(sK14(X0,X1))
& v1_relat_1(sK14(X0,X1))
& m1_relset_1(sK14(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f39,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK14(X0,X1))
& v1_relat_1(sK14(X0,X1))
& m1_relset_1(sK14(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f429,plain,
spl21_40,
inference(avatar_split_clause,[],[f215,f427]) ).
fof(f215,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f28,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f425,plain,
spl21_39,
inference(avatar_split_clause,[],[f214,f423]) ).
fof(f214,plain,
! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f30,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f421,plain,
spl21_38,
inference(avatar_split_clause,[],[f197,f419]) ).
fof(f419,plain,
( spl21_38
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_38])]) ).
fof(f197,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f417,plain,
spl21_37,
inference(avatar_split_clause,[],[f196,f415]) ).
fof(f196,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f413,plain,
( spl21_36
| ~ spl21_8
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f373,f349,f277,f410]) ).
fof(f277,plain,
( spl21_8
<=> l1_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f373,plain,
( l1_struct_0(sK3)
| ~ spl21_8
| ~ spl21_23 ),
inference(resolution,[],[f350,f279]) ).
fof(f279,plain,
( l1_group_1(sK3)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f404,plain,
spl21_35,
inference(avatar_split_clause,[],[f213,f402]) ).
fof(f402,plain,
( spl21_35
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).
fof(f213,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f400,plain,
spl21_34,
inference(avatar_split_clause,[],[f190,f398]) ).
fof(f190,plain,
! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f40,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f396,plain,
spl21_33,
inference(avatar_split_clause,[],[f172,f394]) ).
fof(f172,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f392,plain,
spl21_32,
inference(avatar_split_clause,[],[f168,f390]) ).
fof(f390,plain,
( spl21_32
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f168,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f388,plain,
spl21_31,
inference(avatar_split_clause,[],[f166,f386]) ).
fof(f386,plain,
( spl21_31
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).
fof(f166,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f384,plain,
~ spl21_30,
inference(avatar_split_clause,[],[f162,f381]) ).
fof(f162,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK5),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,sK5)))),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK5),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,sK5))))
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2)))
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK4)
& l1_group_1(sK3)
& v4_group_1(sK3)
& v3_group_1(sK3)
& ~ v3_struct_0(sK3)
& l1_group_1(sK2)
& v4_group_1(sK2)
& v3_group_1(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f58,f112,f111,f110,f109]) ).
fof(f109,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(sK2),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(sK2,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(sK2)
& v4_group_1(sK2)
& v3_group_1(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(sK2),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(sK2,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X2,X3),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X2,u1_struct_0(k5_group_4(sK2,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X2) )
& l1_group_1(sK3)
& v4_group_1(sK3)
& v3_group_1(sK3)
& ~ v3_struct_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X2,X3),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X2,u1_struct_0(k5_group_4(sK2,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X2) )
=> ( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X3),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) )
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X3),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) )
=> ( ~ r1_tarski(k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK5),k2_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(k5_group_4(sK2,sK5))))
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3)))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_latsubgr) ).
fof(f379,plain,
( spl21_29
| ~ spl21_4
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f372,f349,f257,f376]) ).
fof(f372,plain,
( l1_struct_0(sK2)
| ~ spl21_4
| ~ spl21_23 ),
inference(resolution,[],[f350,f259]) ).
fof(f259,plain,
( l1_group_1(sK2)
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f371,plain,
spl21_28,
inference(avatar_split_clause,[],[f221,f369]) ).
fof(f369,plain,
( spl21_28
<=> ! [X0,X1] : v1_funct_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).
fof(f221,plain,
! [X0,X1] : v1_funct_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f138]) ).
fof(f367,plain,
spl21_27,
inference(avatar_split_clause,[],[f220,f365]) ).
fof(f365,plain,
( spl21_27
<=> ! [X0,X1] : v1_relat_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
fof(f220,plain,
! [X0,X1] : v1_relat_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f138]) ).
fof(f363,plain,
spl21_26,
inference(avatar_split_clause,[],[f218,f361]) ).
fof(f361,plain,
( spl21_26
<=> ! [X0,X1] : v1_funct_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f218,plain,
! [X0,X1] : v1_funct_1(sK14(X0,X1)),
inference(cnf_transformation,[],[f136]) ).
fof(f359,plain,
spl21_25,
inference(avatar_split_clause,[],[f217,f357]) ).
fof(f357,plain,
( spl21_25
<=> ! [X0,X1] : v1_relat_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f217,plain,
! [X0,X1] : v1_relat_1(sK14(X0,X1)),
inference(cnf_transformation,[],[f136]) ).
fof(f355,plain,
spl21_24,
inference(avatar_split_clause,[],[f189,f353]) ).
fof(f189,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f29,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f351,plain,
spl21_23,
inference(avatar_split_clause,[],[f167,f349]) ).
fof(f167,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f347,plain,
spl21_22,
inference(avatar_split_clause,[],[f192,f345]) ).
fof(f192,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f343,plain,
spl21_21,
inference(avatar_split_clause,[],[f191,f341]) ).
fof(f191,plain,
! [X0] : v1_xboole_0(sK11(X0)),
inference(cnf_transformation,[],[f129]) ).
fof(f339,plain,
spl21_20,
inference(avatar_split_clause,[],[f164,f337]) ).
fof(f164,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f335,plain,
~ spl21_19,
inference(avatar_split_clause,[],[f239,f332]) ).
fof(f332,plain,
( spl21_19
<=> v3_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f239,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ~ v3_struct_0(sK20)
& l1_struct_0(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f42,f148]) ).
fof(f148,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK20)
& l1_struct_0(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f330,plain,
spl21_18,
inference(avatar_split_clause,[],[f238,f327]) ).
fof(f327,plain,
( spl21_18
<=> l1_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f238,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f149]) ).
fof(f325,plain,
spl21_17,
inference(avatar_split_clause,[],[f237,f322]) ).
fof(f237,plain,
v1_xboole_0(sK19),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
v1_xboole_0(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f38,f146]) ).
fof(f146,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK19) ),
introduced(choice_axiom,[]) ).
fof(f38,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f320,plain,
spl21_16,
inference(avatar_split_clause,[],[f236,f317]) ).
fof(f236,plain,
l1_group_1(sK18),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
l1_group_1(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f25,f144]) ).
fof(f144,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK18) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f315,plain,
spl21_15,
inference(avatar_split_clause,[],[f235,f312]) ).
fof(f312,plain,
( spl21_15
<=> l1_struct_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f235,plain,
l1_struct_0(sK17),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
l1_struct_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f26,f142]) ).
fof(f142,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f310,plain,
~ spl21_14,
inference(avatar_split_clause,[],[f234,f307]) ).
fof(f307,plain,
( spl21_14
<=> v1_xboole_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f234,plain,
~ v1_xboole_0(sK16),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
~ v1_xboole_0(sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f41,f140]) ).
fof(f140,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK16) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f305,plain,
spl21_13,
inference(avatar_split_clause,[],[f163,f302]) ).
fof(f163,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f300,plain,
spl21_12,
inference(avatar_split_clause,[],[f160,f297]) ).
fof(f160,plain,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f113]) ).
fof(f295,plain,
spl21_11,
inference(avatar_split_clause,[],[f159,f292]) ).
fof(f159,plain,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f113]) ).
fof(f290,plain,
spl21_10,
inference(avatar_split_clause,[],[f161,f287]) ).
fof(f161,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f113]) ).
fof(f285,plain,
spl21_9,
inference(avatar_split_clause,[],[f158,f282]) ).
fof(f158,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f113]) ).
fof(f280,plain,
spl21_8,
inference(avatar_split_clause,[],[f157,f277]) ).
fof(f157,plain,
l1_group_1(sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f275,plain,
spl21_7,
inference(avatar_split_clause,[],[f156,f272]) ).
fof(f272,plain,
( spl21_7
<=> v4_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f156,plain,
v4_group_1(sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f270,plain,
spl21_6,
inference(avatar_split_clause,[],[f155,f267]) ).
fof(f267,plain,
( spl21_6
<=> v3_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f155,plain,
v3_group_1(sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f265,plain,
~ spl21_5,
inference(avatar_split_clause,[],[f154,f262]) ).
fof(f154,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f260,plain,
spl21_4,
inference(avatar_split_clause,[],[f153,f257]) ).
fof(f153,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f255,plain,
spl21_3,
inference(avatar_split_clause,[],[f152,f252]) ).
fof(f152,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f250,plain,
spl21_2,
inference(avatar_split_clause,[],[f151,f247]) ).
fof(f151,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
~ spl21_1,
inference(avatar_split_clause,[],[f150,f242]) ).
fof(f150,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP639+1 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 04:35:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (9833)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (9838)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (9840)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 % (9834)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (9835)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (9836)WARNING: value z3 for option sas not known
% 0.14/0.38 % (9836)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)
% 0.20/0.38 % (9837)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 % (9839)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)
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.40 TRYING [1]
% 0.20/0.40 TRYING [2]
% 0.20/0.41 % (9838)First to succeed.
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [4]
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 % (9838)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9833"
% 0.20/0.43 % (9838)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (9838)------------------------------
% 0.20/0.44 % (9838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (9838)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (9838)Memory used [KB]: 1903
% 0.20/0.44 % (9838)Time elapsed: 0.060 s
% 0.20/0.44 % (9838)Instructions burned: 102 (million)
% 0.20/0.44 % (9833)Success in time 0.087 s
%------------------------------------------------------------------------------