TSTP Solution File: GRP620+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:09:38 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 427
% Syntax : Number of formulae : 1388 ( 205 unt; 0 def)
% Number of atoms : 6110 ( 101 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 8181 (3459 ~;3829 |; 439 &)
% ( 363 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 367 ( 365 usr; 337 prp; 0-4 aty)
% Number of functors : 34 ( 34 usr; 16 con; 0-3 aty)
% Number of variables : 1697 (1629 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2557,plain,
$false,
inference(avatar_sat_refutation,[],[f368,f373,f378,f383,f388,f393,f398,f403,f408,f413,f418,f423,f428,f433,f438,f443,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f557,f561,f565,f569,f573,f577,f581,f585,f599,f603,f607,f611,f621,f625,f629,f633,f637,f641,f645,f649,f653,f657,f662,f668,f673,f677,f681,f685,f689,f693,f697,f701,f705,f709,f713,f718,f722,f729,f741,f745,f749,f753,f757,f774,f785,f789,f793,f797,f801,f805,f810,f819,f823,f827,f844,f848,f852,f856,f860,f864,f868,f872,f888,f892,f896,f900,f907,f911,f915,f929,f935,f939,f943,f947,f951,f973,f977,f993,f997,f1001,f1005,f1026,f1032,f1036,f1044,f1048,f1054,f1058,f1062,f1074,f1082,f1086,f1092,f1096,f1100,f1111,f1119,f1126,f1130,f1134,f1142,f1150,f1160,f1164,f1174,f1181,f1190,f1196,f1201,f1206,f1218,f1223,f1227,f1231,f1235,f1239,f1247,f1252,f1256,f1260,f1264,f1268,f1272,f1276,f1317,f1321,f1327,f1331,f1335,f1339,f1347,f1356,f1361,f1362,f1370,f1375,f1391,f1396,f1402,f1407,f1418,f1423,f1436,f1441,f1447,f1452,f1458,f1498,f1515,f1524,f1533,f1540,f1544,f1548,f1552,f1556,f1560,f1564,f1568,f1597,f1601,f1605,f1609,f1613,f1641,f1645,f1649,f1653,f1658,f1662,f1666,f1700,f1704,f1708,f1712,f1727,f1734,f1738,f1739,f1781,f1788,f1792,f1798,f1805,f1809,f1836,f1840,f1844,f1849,f1857,f1863,f1867,f1871,f1879,f1883,f1890,f1894,f1903,f1908,f1914,f1918,f1925,f1931,f1935,f1939,f1950,f1954,f1958,f1987,f1992,f1996,f2000,f2008,f2012,f2020,f2027,f2035,f2041,f2045,f2049,f2054,f2058,f2062,f2066,f2070,f2075,f2080,f2091,f2092,f2097,f2101,f2106,f2113,f2121,f2125,f2145,f2169,f2177,f2181,f2185,f2189,f2194,f2199,f2207,f2212,f2216,f2220,f2224,f2228,f2232,f2236,f2251,f2255,f2266,f2275,f2284,f2289,f2290,f2292,f2301,f2317,f2321,f2325,f2329,f2333,f2337,f2341,f2345,f2355,f2365,f2369,f2373,f2377,f2381,f2385,f2386,f2402,f2415,f2421,f2452,f2456,f2460,f2464,f2468,f2473,f2477,f2498,f2502,f2506,f2510,f2525,f2527,f2528,f2535,f2539,f2543,f2551,f2555,f2556]) ).
fof(f2556,plain,
( spl30_181
| ~ spl30_52
| ~ spl30_320 ),
inference(avatar_split_clause,[],[f2529,f2418,f623,f1415]) ).
fof(f1415,plain,
( spl30_181
<=> m1_subset_1(k2_funct_1(sK5),k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_181])]) ).
fof(f623,plain,
( spl30_52
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_52])]) ).
fof(f2418,plain,
( spl30_320
<=> r2_hidden(k2_funct_1(sK5),k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_320])]) ).
fof(f2529,plain,
( m1_subset_1(k2_funct_1(sK5),k1_autgroup(sK4))
| ~ spl30_52
| ~ spl30_320 ),
inference(resolution,[],[f2419,f624]) ).
fof(f624,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl30_52 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f2419,plain,
( r2_hidden(k2_funct_1(sK5),k1_autgroup(sK4))
| ~ spl30_320 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2555,plain,
( spl30_336
| ~ spl30_194
| ~ spl30_197 ),
inference(avatar_split_clause,[],[f1587,f1558,f1546,f2553]) ).
fof(f2553,plain,
( spl30_336
<=> ! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(X2,sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_336])]) ).
fof(f1546,plain,
( spl30_194
<=> ! [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,[spl30_194])]) ).
fof(f1558,plain,
( spl30_197
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| m2_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_197])]) ).
fof(f1587,plain,
( ! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(X2,sK10(X0,X1)) )
| ~ spl30_194
| ~ spl30_197 ),
inference(resolution,[],[f1559,f1547]) ).
fof(f1547,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl30_194 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f1559,plain,
( ! [X0,X1] :
( m2_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) )
| ~ spl30_197 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f2551,plain,
( spl30_335
| ~ spl30_95
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1572,f1546,f850,f2549]) ).
fof(f2549,plain,
( spl30_335
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ r2_hidden(X1,sK8(X2,X0))
| sP1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_335])]) ).
fof(f850,plain,
( spl30_95
<=> ! [X0,X1] :
( sP1(X0,X1)
| m2_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_95])]) ).
fof(f1572,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ r2_hidden(X1,sK8(X2,X0))
| sP1(X2,X0) )
| ~ spl30_95
| ~ spl30_194 ),
inference(resolution,[],[f1547,f851]) ).
fof(f851,plain,
( ! [X0,X1] :
( m2_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| sP1(X0,X1) )
| ~ spl30_95 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f2543,plain,
( spl30_334
| ~ spl30_80
| ~ spl30_207 ),
inference(avatar_split_clause,[],[f1683,f1647,f751,f2541]) ).
fof(f2541,plain,
( spl30_334
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_relset_1(sK16(X1,X2,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_334])]) ).
fof(f751,plain,
( spl30_80
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_80])]) ).
fof(f1647,plain,
( spl30_207
<=> ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_207])]) ).
fof(f1683,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_relset_1(sK16(X1,X2,X0),X1,X2) )
| ~ spl30_80
| ~ spl30_207 ),
inference(resolution,[],[f1648,f752]) ).
fof(f752,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl30_80 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1648,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_207 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f2539,plain,
( spl30_333
| ~ spl30_157
| ~ spl30_202 ),
inference(avatar_split_clause,[],[f1629,f1603,f1245,f2537]) ).
fof(f2537,plain,
( spl30_333
<=> ! [X0] :
( m1_subset_1(sK9(sK6(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_333])]) ).
fof(f1245,plain,
( spl30_157
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK9(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_157])]) ).
fof(f1603,plain,
( spl30_202
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_202])]) ).
fof(f1629,plain,
( ! [X0] :
( m1_subset_1(sK9(sK6(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK6(X0)) )
| ~ spl30_157
| ~ spl30_202 ),
inference(resolution,[],[f1604,f1246]) ).
fof(f1246,plain,
( ! [X0] :
( r2_hidden(sK9(X0),X0)
| v1_xboole_0(X0) )
| ~ spl30_157 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1604,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl30_202 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f2535,plain,
( spl30_332
| ~ spl30_166
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1618,f1595,f1319,f2533]) ).
fof(f2533,plain,
( spl30_332
<=> ! [X0,X1] :
( v2_funct_1(sK8(sK9(k1_zfmisc_1(X0)),X1))
| sP1(sK9(k1_zfmisc_1(X0)),X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_332])]) ).
fof(f1319,plain,
( spl30_166
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK9(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_166])]) ).
fof(f1595,plain,
( spl30_200
<=> ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| r2_hidden(sK8(X0,X1),X0)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_200])]) ).
fof(f1618,plain,
( ! [X0,X1] :
( v2_funct_1(sK8(sK9(k1_zfmisc_1(X0)),X1))
| sP1(sK9(k1_zfmisc_1(X0)),X1)
| ~ v1_xboole_0(X0) )
| ~ spl30_166
| ~ spl30_200 ),
inference(resolution,[],[f1596,f1320]) ).
fof(f1320,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK9(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl30_166 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1596,plain,
( ! [X0,X1] :
( r2_hidden(sK8(X0,X1),X0)
| v2_funct_1(sK8(X0,X1))
| sP1(X0,X1) )
| ~ spl30_200 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f2528,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_320
| ~ spl30_319
| ~ spl30_139
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1478,f1449,f1132,f2412,f2418,f1388,f1393,f1367,f385,f380,f375,f370,f365]) ).
fof(f365,plain,
( spl30_1
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f370,plain,
( spl30_2
<=> v1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f375,plain,
( spl30_3
<=> v3_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f380,plain,
( spl30_4
<=> v4_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f385,plain,
( spl30_5
<=> l1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f1367,plain,
( spl30_175
<=> v1_funct_1(k2_funct_1(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_175])]) ).
fof(f1393,plain,
( spl30_178
<=> v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_178])]) ).
fof(f1388,plain,
( spl30_177
<=> v1_group_6(k2_funct_1(sK5),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_177])]) ).
fof(f2412,plain,
( spl30_319
<=> v4_group_6(k2_funct_1(sK5),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_319])]) ).
fof(f1132,plain,
( spl30_139
<=> ! [X0,X1] :
( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_139])]) ).
fof(f1449,plain,
( spl30_186
<=> m2_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_186])]) ).
fof(f1478,plain,
( ~ v4_group_6(k2_funct_1(sK5),sK4,sK4)
| r2_hidden(k2_funct_1(sK5),k1_autgroup(sK4))
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_139
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1133]) ).
fof(f1133,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_6(X1,X0,X0)
| r2_hidden(X1,k1_autgroup(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_139 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1451,plain,
( m2_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_186 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f2527,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_300
| ~ spl30_319
| ~ spl30_143
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1491,f1449,f1162,f2412,f2298,f1388,f1393,f1367,f385,f380,f375,f365]) ).
fof(f2298,plain,
( spl30_300
<=> v2_group_6(k2_funct_1(sK5),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_300])]) ).
fof(f1162,plain,
( spl30_143
<=> ! [X2,X0,X1] :
( v2_group_6(X2,X0,X1)
| ~ v4_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_143])]) ).
fof(f1491,plain,
( ~ v4_group_6(k2_funct_1(sK5),sK4,sK4)
| v2_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_143
| ~ spl30_186 ),
inference(duplicate_literal_removal,[],[f1482]) ).
fof(f1482,plain,
( ~ v4_group_6(k2_funct_1(sK5),sK4,sK4)
| v2_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_143
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1163]) ).
fof(f1163,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_6(X2,X0,X1)
| v2_group_6(X2,X0,X1)
| ~ v1_group_6(X2,X0,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) )
| ~ spl30_143 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f2525,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_109
| ~ spl30_182
| ~ spl30_269
| ~ spl30_184
| ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_319
| ~ spl30_297
| ~ spl30_145
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1493,f1449,f1179,f2281,f2412,f1388,f1393,f1367,f1438,f2094,f1420,f926,f385,f380,f375,f365]) ).
fof(f926,plain,
( spl30_109
<=> v1_funct_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_109])]) ).
fof(f1420,plain,
( spl30_182
<=> v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_182])]) ).
fof(f2094,plain,
( spl30_269
<=> v1_group_6(sK5,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_269])]) ).
fof(f1438,plain,
( spl30_184
<=> m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_184])]) ).
fof(f2281,plain,
( spl30_297
<=> v4_group_6(sK5,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_297])]) ).
fof(f1179,plain,
( spl30_145
<=> ! [X2,X0,X1] :
( v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_funct_1(X2))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_145])]) ).
fof(f1493,plain,
( ~ v4_group_6(sK5,sK4,sK4)
| v4_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_145
| ~ spl30_186 ),
inference(duplicate_literal_removal,[],[f1477]) ).
fof(f1477,plain,
( ~ v4_group_6(sK5,sK4,sK4)
| v4_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_145
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1180]) ).
fof(f1180,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_6(X2,X1,X0)
| v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_funct_1(X2))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) )
| ~ spl30_145 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f2510,plain,
( spl30_331
| ~ spl30_57
| ~ spl30_221 ),
inference(avatar_split_clause,[],[f1794,f1790,f643,f2508]) ).
fof(f2508,plain,
( spl30_331
<=> ! [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,[spl30_331])]) ).
fof(f643,plain,
( spl30_57
<=> ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_57])]) ).
fof(f1790,plain,
( spl30_221
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK15(X0,X1))
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_221])]) ).
fof(f1794,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| ~ v1_xboole_0(sK15(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_57
| ~ spl30_221 ),
inference(resolution,[],[f1791,f644]) ).
fof(f644,plain,
( ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1)
| ~ spl30_57 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f1791,plain,
( ! [X0,X1] :
( ~ m1_relset_1(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) )
| ~ spl30_221 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f2506,plain,
( spl30_330
| ~ spl30_57
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f1793,f1786,f643,f2504]) ).
fof(f2504,plain,
( spl30_330
<=> ! [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,[spl30_330])]) ).
fof(f1786,plain,
( spl30_220
<=> ! [X0,X1] :
( v1_partfun1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_220])]) ).
fof(f1793,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_57
| ~ spl30_220 ),
inference(resolution,[],[f1787,f644]) ).
fof(f1787,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| v1_partfun1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_220 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f2502,plain,
( spl30_329
| ~ spl30_51
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1615,f1595,f619,f2500]) ).
fof(f2500,plain,
( spl30_329
<=> ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| sP1(X0,X1)
| ~ r2_hidden(X0,sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_329])]) ).
fof(f619,plain,
( spl30_51
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_51])]) ).
fof(f1615,plain,
( ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| sP1(X0,X1)
| ~ r2_hidden(X0,sK8(X0,X1)) )
| ~ spl30_51
| ~ spl30_200 ),
inference(resolution,[],[f1596,f620]) ).
fof(f620,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl30_51 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f2498,plain,
( spl30_328
| ~ spl30_52
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1614,f1595,f623,f2496]) ).
fof(f2496,plain,
( spl30_328
<=> ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| sP1(X0,X1)
| m1_subset_1(sK8(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_328])]) ).
fof(f1614,plain,
( ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| sP1(X0,X1)
| m1_subset_1(sK8(X0,X1),X0) )
| ~ spl30_52
| ~ spl30_200 ),
inference(resolution,[],[f1596,f624]) ).
fof(f2477,plain,
( spl30_327
| ~ spl30_203
| ~ spl30_227 ),
inference(avatar_split_clause,[],[f1853,f1842,f1607,f2475]) ).
fof(f2475,plain,
( spl30_327
<=> ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_327])]) ).
fof(f1607,plain,
( spl30_203
<=> ! [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,[spl30_203])]) ).
fof(f1842,plain,
( spl30_227
<=> ! [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(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_227])]) ).
fof(f1853,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_203
| ~ spl30_227 ),
inference(duplicate_literal_removal,[],[f1852]) ).
fof(f1852,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_203
| ~ spl30_227 ),
inference(resolution,[],[f1843,f1608]) ).
fof(f1608,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) )
| ~ spl30_203 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1843,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(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_227 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f2473,plain,
( spl30_326
| ~ spl30_42
| ~ spl30_287 ),
inference(avatar_split_clause,[],[f2432,f2222,f567,f2470]) ).
fof(f2470,plain,
( spl30_326
<=> v1_relat_1(sK9(k1_autgroup(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_326])]) ).
fof(f567,plain,
( spl30_42
<=> ! [X0] : m1_subset_1(sK9(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_42])]) ).
fof(f2222,plain,
( spl30_287
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_287])]) ).
fof(f2432,plain,
( v1_relat_1(sK9(k1_autgroup(sK4)))
| ~ spl30_42
| ~ spl30_287 ),
inference(resolution,[],[f2223,f568]) ).
fof(f568,plain,
( ! [X0] : m1_subset_1(sK9(X0),X0)
| ~ spl30_42 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f2223,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_relat_1(X0) )
| ~ spl30_287 ),
inference(avatar_component_clause,[],[f2222]) ).
fof(f2468,plain,
( spl30_325
| ~ spl30_203
| ~ spl30_226 ),
inference(avatar_split_clause,[],[f1851,f1838,f1607,f2466]) ).
fof(f2466,plain,
( spl30_325
<=> ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_325])]) ).
fof(f1838,plain,
( spl30_226
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_226])]) ).
fof(f1851,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_203
| ~ spl30_226 ),
inference(duplicate_literal_removal,[],[f1850]) ).
fof(f1850,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_203
| ~ spl30_226 ),
inference(resolution,[],[f1839,f1608]) ).
fof(f1839,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_226 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f2464,plain,
( spl30_324
| ~ spl30_50
| ~ spl30_213 ),
inference(avatar_split_clause,[],[f1719,f1702,f609,f2462]) ).
fof(f2462,plain,
( spl30_324
<=> ! [X0,X1] :
( v3_group_6(sK8(X0,X1),X1,X1)
| sP1(X0,X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_324])]) ).
fof(f609,plain,
( spl30_50
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_50])]) ).
fof(f1702,plain,
( spl30_213
<=> ! [X0,X1] :
( v3_group_6(sK8(X1,X0),X0,X0)
| r2_hidden(sK8(X1,X0),X1)
| sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_213])]) ).
fof(f1719,plain,
( ! [X0,X1] :
( v3_group_6(sK8(X0,X1),X1,X1)
| sP1(X0,X1)
| ~ v1_xboole_0(X0) )
| ~ spl30_50
| ~ spl30_213 ),
inference(resolution,[],[f1703,f610]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl30_50 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f1703,plain,
( ! [X0,X1] :
( v3_group_6(sK8(X1,X0),X0,X0)
| r2_hidden(sK8(X1,X0),X1)
| sP1(X1,X0) )
| ~ spl30_213 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f2460,plain,
( spl30_323
| ~ spl30_53
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1692,f1651,f627,f2458]) ).
fof(f2458,plain,
( spl30_323
<=> ! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_323])]) ).
fof(f627,plain,
( spl30_53
<=> ! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_53])]) ).
fof(f1651,plain,
( spl30_208
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_208])]) ).
fof(f1692,plain,
( ! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) )
| ~ spl30_53
| ~ spl30_208 ),
inference(resolution,[],[f1652,f628]) ).
fof(f628,plain,
( ! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1)
| ~ spl30_53 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f1652,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_208 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f2456,plain,
( spl30_322
| ~ spl30_164
| ~ spl30_207 ),
inference(avatar_split_clause,[],[f1682,f1647,f1274,f2454]) ).
fof(f2454,plain,
( spl30_322
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_relat_1(sK16(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_322])]) ).
fof(f1274,plain,
( spl30_164
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_164])]) ).
fof(f1682,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_relat_1(sK16(X1,X2,X0)) )
| ~ spl30_164
| ~ spl30_207 ),
inference(resolution,[],[f1648,f1275]) ).
fof(f1275,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl30_164 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f2452,plain,
( spl30_321
| ~ spl30_53
| ~ spl30_206 ),
inference(avatar_split_clause,[],[f1675,f1643,f627,f2450]) ).
fof(f2450,plain,
( spl30_321
<=> ! [X2,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_321])]) ).
fof(f1643,plain,
( spl30_206
<=> ! [X0,X3,X2,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_206])]) ).
fof(f1675,plain,
( ! [X2,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,sK11(X1,X2)) )
| ~ spl30_53
| ~ spl30_206 ),
inference(resolution,[],[f1644,f628]) ).
fof(f1644,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_206 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f2421,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_319
| ~ spl30_320
| ~ spl30_138
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1479,f1449,f1128,f2418,f2412,f1388,f1393,f1367,f385,f380,f375,f370,f365]) ).
fof(f1128,plain,
( spl30_138
<=> ! [X0,X1] :
( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_138])]) ).
fof(f1479,plain,
( ~ r2_hidden(k2_funct_1(sK5),k1_autgroup(sK4))
| v4_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_138
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1129]) ).
fof(f1129,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ r2_hidden(X1,k1_autgroup(X0))
| v4_group_6(X1,X0,X0)
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_138 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f2415,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_318
| ~ spl30_319
| ~ spl30_142
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1490,f1449,f1158,f2412,f2408,f1388,f1393,f1367,f385,f380,f375,f365]) ).
fof(f2408,plain,
( spl30_318
<=> v3_group_6(k2_funct_1(sK5),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_318])]) ).
fof(f1158,plain,
( spl30_142
<=> ! [X2,X0,X1] :
( v3_group_6(X2,X0,X1)
| ~ v4_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_142])]) ).
fof(f1490,plain,
( ~ v4_group_6(k2_funct_1(sK5),sK4,sK4)
| v3_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_142
| ~ spl30_186 ),
inference(duplicate_literal_removal,[],[f1483]) ).
fof(f1483,plain,
( ~ v4_group_6(k2_funct_1(sK5),sK4,sK4)
| v3_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_142
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1159]) ).
fof(f1159,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_6(X2,X0,X1)
| v3_group_6(X2,X0,X1)
| ~ v1_group_6(X2,X0,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) )
| ~ spl30_142 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f2402,plain,
( ~ spl30_301
| ~ spl30_302
| ~ spl30_303
| spl30_317
| ~ spl30_130
| ~ spl30_135 ),
inference(avatar_split_clause,[],[f1146,f1108,f1080,f2400,f2311,f2307,f2303]) ).
fof(f2303,plain,
( spl30_301
<=> v1_funct_1(u1_group_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_301])]) ).
fof(f2307,plain,
( spl30_302
<=> v1_funct_2(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_302])]) ).
fof(f2311,plain,
( spl30_303
<=> m1_relset_1(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_303])]) ).
fof(f2400,plain,
( spl30_317
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_struct_0(sK4) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_317])]) ).
fof(f1080,plain,
( spl30_130
<=> ! [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,[spl30_130])]) ).
fof(f1108,plain,
( spl30_135
<=> sK4 = g1_group_1(u1_struct_0(sK4),u1_group_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_135])]) ).
fof(f1146,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_struct_0(sK4) = X0
| ~ m1_relset_1(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_group_1(sK4)) )
| ~ spl30_130
| ~ spl30_135 ),
inference(superposition,[],[f1081,f1110]) ).
fof(f1110,plain,
( sK4 = g1_group_1(u1_struct_0(sK4),u1_group_1(sK4))
| ~ spl30_135 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1081,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_130 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f2386,plain,
( ~ spl30_5
| ~ spl30_101
| spl30_302 ),
inference(avatar_split_clause,[],[f2319,f2307,f886,f385]) ).
fof(f886,plain,
( spl30_101
<=> ! [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,[spl30_101])]) ).
fof(f2319,plain,
( ~ l1_group_1(sK4)
| ~ spl30_101
| spl30_302 ),
inference(resolution,[],[f2309,f887]) ).
fof(f887,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) )
| ~ spl30_101 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f2309,plain,
( ~ v1_funct_2(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl30_302 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2385,plain,
( spl30_316
| ~ spl30_163
| ~ spl30_201 ),
inference(avatar_split_clause,[],[f1627,f1599,f1270,f2383]) ).
fof(f2383,plain,
( spl30_316
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_316])]) ).
fof(f1270,plain,
( spl30_163
<=> ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_163])]) ).
fof(f1599,plain,
( spl30_201
<=> ! [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,[spl30_201])]) ).
fof(f1627,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_163
| ~ spl30_201 ),
inference(resolution,[],[f1600,f1271]) ).
fof(f1271,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl30_163 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1600,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_201 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f2381,plain,
( spl30_315
| ~ spl30_162
| ~ spl30_201 ),
inference(avatar_split_clause,[],[f1626,f1599,f1266,f2379]) ).
fof(f2379,plain,
( spl30_315
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_315])]) ).
fof(f1266,plain,
( spl30_162
<=> ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_162])]) ).
fof(f1626,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_162
| ~ spl30_201 ),
inference(resolution,[],[f1600,f1267]) ).
fof(f1267,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl30_162 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f2377,plain,
( spl30_314
| ~ spl30_55
| ~ spl30_201 ),
inference(avatar_split_clause,[],[f1625,f1599,f635,f2375]) ).
fof(f2375,plain,
( spl30_314
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_314])]) ).
fof(f635,plain,
( spl30_55
<=> ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_55])]) ).
fof(f1625,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_55
| ~ spl30_201 ),
inference(resolution,[],[f1600,f636]) ).
fof(f636,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl30_55 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2373,plain,
( spl30_313
| ~ spl30_161
| ~ spl30_201 ),
inference(avatar_split_clause,[],[f1624,f1599,f1262,f2371]) ).
fof(f2371,plain,
( spl30_313
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_313])]) ).
fof(f1262,plain,
( spl30_161
<=> ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_161])]) ).
fof(f1624,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_161
| ~ spl30_201 ),
inference(resolution,[],[f1600,f1263]) ).
fof(f1263,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl30_161 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f2369,plain,
( spl30_312
| ~ spl30_51
| ~ spl30_191 ),
inference(avatar_split_clause,[],[f1535,f1531,f619,f2367]) ).
fof(f2367,plain,
( spl30_312
<=> ! [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,[spl30_312])]) ).
fof(f1531,plain,
( spl30_191
<=> ! [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,[spl30_191])]) ).
fof(f1535,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl30_51
| ~ spl30_191 ),
inference(resolution,[],[f1532,f620]) ).
fof(f1532,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl30_191 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f2365,plain,
( spl30_311
| ~ spl30_157
| ~ spl30_170 ),
inference(avatar_split_clause,[],[f1343,f1337,f1245,f2363]) ).
fof(f2363,plain,
( spl30_311
<=> ! [X0] :
( m1_subset_1(sK9(sK9(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_311])]) ).
fof(f1337,plain,
( spl30_170
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK9(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_170])]) ).
fof(f1343,plain,
( ! [X0] :
( m1_subset_1(sK9(sK9(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) )
| ~ spl30_157
| ~ spl30_170 ),
inference(resolution,[],[f1338,f1246]) ).
fof(f1338,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK9(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl30_170 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f2355,plain,
( ~ spl30_5
| ~ spl30_203
| spl30_303 ),
inference(avatar_split_clause,[],[f2320,f2311,f1607,f385]) ).
fof(f2320,plain,
( ~ l1_group_1(sK4)
| ~ spl30_203
| spl30_303 ),
inference(resolution,[],[f2313,f1608]) ).
fof(f2313,plain,
( ~ m1_relset_1(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl30_303 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2345,plain,
( spl30_310
| ~ spl30_50
| ~ spl30_200 ),
inference(avatar_split_clause,[],[f1616,f1595,f609,f2343]) ).
fof(f2343,plain,
( spl30_310
<=> ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| sP1(X0,X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_310])]) ).
fof(f1616,plain,
( ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| sP1(X0,X1)
| ~ v1_xboole_0(X0) )
| ~ spl30_50
| ~ spl30_200 ),
inference(resolution,[],[f1596,f610]) ).
fof(f2341,plain,
( spl30_309
| ~ spl30_53
| ~ spl30_198 ),
inference(avatar_split_clause,[],[f1590,f1562,f627,f2339]) ).
fof(f2339,plain,
( spl30_309
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK11(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_309])]) ).
fof(f1562,plain,
( spl30_198
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_198])]) ).
fof(f1590,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK11(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) )
| ~ spl30_53
| ~ spl30_198 ),
inference(resolution,[],[f1563,f628]) ).
fof(f1563,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X3)
| v1_funct_1(X0) )
| ~ spl30_198 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f2337,plain,
( spl30_308
| ~ spl30_163
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1576,f1546,f1270,f2335]) ).
fof(f2335,plain,
( spl30_308
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_308])]) ).
fof(f1576,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK15(X0,X1)) )
| ~ spl30_163
| ~ spl30_194 ),
inference(resolution,[],[f1547,f1271]) ).
fof(f2333,plain,
( spl30_307
| ~ spl30_162
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1575,f1546,f1266,f2331]) ).
fof(f2331,plain,
( spl30_307
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_307])]) ).
fof(f1575,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK14(X0,X1)) )
| ~ spl30_162
| ~ spl30_194 ),
inference(resolution,[],[f1547,f1267]) ).
fof(f2329,plain,
( spl30_306
| ~ spl30_55
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1574,f1546,f635,f2327]) ).
fof(f2327,plain,
( spl30_306
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_306])]) ).
fof(f1574,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK13(X0,X1)) )
| ~ spl30_55
| ~ spl30_194 ),
inference(resolution,[],[f1547,f636]) ).
fof(f2325,plain,
( spl30_305
| ~ spl30_161
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1573,f1546,f1262,f2323]) ).
fof(f2323,plain,
( spl30_305
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_305])]) ).
fof(f1573,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK12(X0,X1)) )
| ~ spl30_161
| ~ spl30_194 ),
inference(resolution,[],[f1547,f1263]) ).
fof(f2321,plain,
( ~ spl30_5
| ~ spl30_48
| spl30_301 ),
inference(avatar_split_clause,[],[f2318,f2303,f601,f385]) ).
fof(f601,plain,
( spl30_48
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_48])]) ).
fof(f2318,plain,
( ~ l1_group_1(sK4)
| ~ spl30_48
| spl30_301 ),
inference(resolution,[],[f2305,f602]) ).
fof(f602,plain,
( ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_48 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f2305,plain,
( ~ v1_funct_1(u1_group_1(sK4))
| spl30_301 ),
inference(avatar_component_clause,[],[f2303]) ).
fof(f2317,plain,
( ~ spl30_301
| ~ spl30_302
| ~ spl30_303
| spl30_304
| ~ spl30_131
| ~ spl30_135 ),
inference(avatar_split_clause,[],[f1144,f1108,f1084,f2315,f2311,f2307,f2303]) ).
fof(f2315,plain,
( spl30_304
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_group_1(sK4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_304])]) ).
fof(f1084,plain,
( spl30_131
<=> ! [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,[spl30_131])]) ).
fof(f1144,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_group_1(sK4) = X1
| ~ m1_relset_1(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(u1_group_1(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_group_1(sK4)) )
| ~ spl30_131
| ~ spl30_135 ),
inference(superposition,[],[f1085,f1110]) ).
fof(f1085,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = 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) )
| ~ spl30_131 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f2301,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_299
| ~ spl30_300
| ~ spl30_140
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1488,f1449,f1140,f2298,f2294,f1388,f1393,f1367,f385,f380,f375,f365]) ).
fof(f2294,plain,
( spl30_299
<=> v2_funct_1(k2_funct_1(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_299])]) ).
fof(f1140,plain,
( spl30_140
<=> ! [X2,X0,X1] :
( v2_funct_1(X2)
| ~ v2_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_140])]) ).
fof(f1488,plain,
( ~ v2_group_6(k2_funct_1(sK5),sK4,sK4)
| v2_funct_1(k2_funct_1(sK5))
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_140
| ~ spl30_186 ),
inference(duplicate_literal_removal,[],[f1485]) ).
fof(f1485,plain,
( ~ v2_group_6(k2_funct_1(sK5),sK4,sK4)
| v2_funct_1(k2_funct_1(sK5))
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_140
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1141]) ).
fof(f1141,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_group_6(X2,X0,X1)
| v2_funct_1(X2)
| ~ v1_group_6(X2,X0,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) )
| ~ spl30_140 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f2292,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_109
| ~ spl30_182
| ~ spl30_269
| spl30_295
| ~ spl30_297
| ~ spl30_143
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1475,f1438,f1162,f2281,f2272,f2094,f1420,f926,f385,f380,f375,f365]) ).
fof(f2272,plain,
( spl30_295
<=> v2_group_6(sK5,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_295])]) ).
fof(f1475,plain,
( ~ v4_group_6(sK5,sK4,sK4)
| v2_group_6(sK5,sK4,sK4)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_143
| ~ spl30_184 ),
inference(duplicate_literal_removal,[],[f1466]) ).
fof(f1466,plain,
( ~ v4_group_6(sK5,sK4,sK4)
| v2_group_6(sK5,sK4,sK4)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_143
| ~ spl30_184 ),
inference(resolution,[],[f1440,f1163]) ).
fof(f1440,plain,
( m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_184 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f2290,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_109
| ~ spl30_182
| ~ spl30_269
| spl30_297
| ~ spl30_249
| ~ spl30_138
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1746,f1438,f1128,f1989,f2281,f2094,f1420,f926,f385,f380,f375,f370,f365]) ).
fof(f1989,plain,
( spl30_249
<=> r2_hidden(sK5,k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_249])]) ).
fof(f1746,plain,
( ~ r2_hidden(sK5,k1_autgroup(sK4))
| v4_group_6(sK5,sK4,sK4)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_138
| ~ spl30_184 ),
inference(resolution,[],[f1440,f1129]) ).
fof(f2289,plain,
( spl30_298
| ~ spl30_95
| ~ spl30_164 ),
inference(avatar_split_clause,[],[f1309,f1274,f850,f2287]) ).
fof(f2287,plain,
( spl30_298
<=> ! [X0,X1] :
( v1_relat_1(sK8(X0,X1))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_298])]) ).
fof(f1309,plain,
( ! [X0,X1] :
( v1_relat_1(sK8(X0,X1))
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_164 ),
inference(resolution,[],[f1275,f851]) ).
fof(f2284,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_109
| ~ spl30_182
| ~ spl30_269
| spl30_296
| ~ spl30_297
| ~ spl30_142
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1474,f1438,f1158,f2281,f2277,f2094,f1420,f926,f385,f380,f375,f365]) ).
fof(f2277,plain,
( spl30_296
<=> v3_group_6(sK5,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_296])]) ).
fof(f1474,plain,
( ~ v4_group_6(sK5,sK4,sK4)
| v3_group_6(sK5,sK4,sK4)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_142
| ~ spl30_184 ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1467,plain,
( ~ v4_group_6(sK5,sK4,sK4)
| v3_group_6(sK5,sK4,sK4)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_142
| ~ spl30_184 ),
inference(resolution,[],[f1440,f1159]) ).
fof(f2275,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_109
| ~ spl30_182
| ~ spl30_269
| spl30_294
| ~ spl30_295
| ~ spl30_140
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1472,f1438,f1140,f2272,f2268,f2094,f1420,f926,f385,f380,f375,f365]) ).
fof(f2268,plain,
( spl30_294
<=> v2_funct_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_294])]) ).
fof(f1472,plain,
( ~ v2_group_6(sK5,sK4,sK4)
| v2_funct_1(sK5)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_140
| ~ spl30_184 ),
inference(duplicate_literal_removal,[],[f1469]) ).
fof(f1469,plain,
( ~ v2_group_6(sK5,sK4,sK4)
| v2_funct_1(sK5)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_140
| ~ spl30_184 ),
inference(resolution,[],[f1440,f1141]) ).
fof(f2266,plain,
( spl30_293
| ~ spl30_42
| ~ spl30_276 ),
inference(avatar_split_clause,[],[f2171,f2167,f567,f2263]) ).
fof(f2263,plain,
( spl30_293
<=> v1_group_6(sK9(k1_autgroup(sK4)),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_293])]) ).
fof(f2167,plain,
( spl30_276
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_group_6(X0,sK4,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_276])]) ).
fof(f2171,plain,
( v1_group_6(sK9(k1_autgroup(sK4)),sK4,sK4)
| ~ spl30_42
| ~ spl30_276 ),
inference(resolution,[],[f2168,f568]) ).
fof(f2168,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_group_6(X0,sK4,sK4) )
| ~ spl30_276 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2255,plain,
( spl30_292
| ~ spl30_157
| ~ spl30_166 ),
inference(avatar_split_clause,[],[f1323,f1319,f1245,f2253]) ).
fof(f2253,plain,
( spl30_292
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_292])]) ).
fof(f1323,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) )
| ~ spl30_157
| ~ spl30_166 ),
inference(resolution,[],[f1320,f1246]) ).
fof(f2251,plain,
( spl30_291
| ~ spl30_51
| ~ spl30_157 ),
inference(avatar_split_clause,[],[f1278,f1245,f619,f2249]) ).
fof(f2249,plain,
( spl30_291
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_291])]) ).
fof(f1278,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK9(X0)) )
| ~ spl30_51
| ~ spl30_157 ),
inference(resolution,[],[f1246,f620]) ).
fof(f2236,plain,
( ~ spl30_175
| ~ spl30_178
| ~ spl30_177
| spl30_290
| ~ spl30_132
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1480,f1449,f1090,f2234,f1388,f1393,f1367]) ).
fof(f2234,plain,
( spl30_290
<=> ! [X0] :
( sP0(sK4,k2_funct_1(sK5),X0)
| ~ sP1(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_290])]) ).
fof(f1090,plain,
( spl30_132
<=> ! [X0,X1,X3] :
( sP0(X1,X3,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X3,X1,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_132])]) ).
fof(f1480,plain,
( ! [X0] :
( sP0(sK4,k2_funct_1(sK5),X0)
| ~ v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ sP1(X0,sK4) )
| ~ spl30_132
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1091]) ).
fof(f1091,plain,
( ! [X3,X0,X1] :
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| sP0(X1,X3,X0)
| ~ v1_group_6(X3,X1,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ sP1(X0,X1) )
| ~ spl30_132 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f2232,plain,
( spl30_289
| ~ spl30_130
| ~ spl30_135 ),
inference(avatar_split_clause,[],[f1145,f1108,f1080,f2230]) ).
fof(f2230,plain,
( spl30_289
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_struct_0(sK4) = X0
| ~ 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,[spl30_289])]) ).
fof(f1145,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_struct_0(sK4) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl30_130
| ~ spl30_135 ),
inference(superposition,[],[f1081,f1110]) ).
fof(f2228,plain,
( spl30_288
| ~ spl30_131
| ~ spl30_135 ),
inference(avatar_split_clause,[],[f1143,f1108,f1084,f2226]) ).
fof(f2226,plain,
( spl30_288
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_group_1(sK4) = 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,[spl30_288])]) ).
fof(f1143,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK4
| u1_group_1(sK4) = 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) )
| ~ spl30_131
| ~ spl30_135 ),
inference(superposition,[],[f1085,f1110]) ).
fof(f2224,plain,
( spl30_287
| ~ spl30_164
| ~ spl30_275 ),
inference(avatar_split_clause,[],[f2156,f2143,f1274,f2222]) ).
fof(f2143,plain,
( spl30_275
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_subset_1(X0,k1_autgroup(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_275])]) ).
fof(f2156,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_relat_1(X0) )
| ~ spl30_164
| ~ spl30_275 ),
inference(resolution,[],[f2144,f1275]) ).
fof(f2144,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_subset_1(X0,k1_autgroup(sK4)) )
| ~ spl30_275 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2220,plain,
( spl30_286
| ~ spl30_39
| ~ spl30_168 ),
inference(avatar_split_clause,[],[f1341,f1329,f555,f2218]) ).
fof(f2218,plain,
( spl30_286
<=> ! [X0] :
( v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_286])]) ).
fof(f555,plain,
( spl30_39
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_39])]) ).
fof(f1329,plain,
( spl30_168
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_168])]) ).
fof(f1341,plain,
( ! [X0] :
( v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) )
| ~ spl30_39
| ~ spl30_168 ),
inference(resolution,[],[f1330,f556]) ).
fof(f556,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl30_39 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f1330,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_168 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f2216,plain,
( spl30_285
| ~ spl30_39
| ~ spl30_167 ),
inference(avatar_split_clause,[],[f1340,f1325,f555,f2214]) ).
fof(f2214,plain,
( spl30_285
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_285])]) ).
fof(f1325,plain,
( spl30_167
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_167])]) ).
fof(f1340,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X0)) )
| ~ spl30_39
| ~ spl30_167 ),
inference(resolution,[],[f1326,f556]) ).
fof(f1326,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_167 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f2212,plain,
( spl30_284
| ~ spl30_102
| ~ spl30_164 ),
inference(avatar_split_clause,[],[f1308,f1274,f890,f2210]) ).
fof(f2210,plain,
( spl30_284
<=> ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_284])]) ).
fof(f890,plain,
( spl30_102
<=> ! [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,[spl30_102])]) ).
fof(f1308,plain,
( ! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_102
| ~ spl30_164 ),
inference(resolution,[],[f1275,f891]) ).
fof(f891,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) )
| ~ spl30_102 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f2207,plain,
( spl30_146
| ~ spl30_265
| ~ spl30_175
| spl30_283
| ~ spl30_119
| ~ spl30_178 ),
inference(avatar_split_clause,[],[f1412,f1393,f999,f2204,f1367,f2072,f1183]) ).
fof(f1183,plain,
( spl30_146
<=> v1_xboole_0(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_146])]) ).
fof(f2072,plain,
( spl30_265
<=> m1_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_265])]) ).
fof(f2204,plain,
( spl30_283
<=> v1_partfun1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_283])]) ).
fof(f999,plain,
( spl30_119
<=> ! [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,[spl30_119])]) ).
fof(f1412,plain,
( v1_partfun1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ m1_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_119
| ~ spl30_178 ),
inference(resolution,[],[f1395,f1000]) ).
fof(f1000,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)
| v1_xboole_0(X1) )
| ~ spl30_119 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1395,plain,
( v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_178 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f2199,plain,
( ~ spl30_109
| ~ spl30_182
| ~ spl30_269
| spl30_282
| ~ spl30_132
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1464,f1438,f1090,f2197,f2094,f1420,f926]) ).
fof(f2197,plain,
( spl30_282
<=> ! [X0] :
( sP0(sK4,sK5,X0)
| ~ sP1(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_282])]) ).
fof(f1464,plain,
( ! [X0] :
( sP0(sK4,sK5,X0)
| ~ v1_group_6(sK5,sK4,sK4)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ sP1(X0,sK4) )
| ~ spl30_132
| ~ spl30_184 ),
inference(resolution,[],[f1440,f1091]) ).
fof(f2194,plain,
( spl30_146
| ~ spl30_238
| ~ spl30_109
| spl30_281
| ~ spl30_119
| ~ spl30_182 ),
inference(avatar_split_clause,[],[f1460,f1420,f999,f2191,f926,f1905,f1183]) ).
fof(f1905,plain,
( spl30_238
<=> m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_238])]) ).
fof(f2191,plain,
( spl30_281
<=> v1_partfun1(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_281])]) ).
fof(f1460,plain,
( v1_partfun1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_119
| ~ spl30_182 ),
inference(resolution,[],[f1422,f1000]) ).
fof(f1422,plain,
( v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_182 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f2189,plain,
( spl30_280
| ~ spl30_39
| ~ spl30_165 ),
inference(avatar_split_clause,[],[f1322,f1315,f555,f2187]) ).
fof(f2187,plain,
( spl30_280
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_280])]) ).
fof(f1315,plain,
( spl30_165
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_165])]) ).
fof(f1322,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl30_39
| ~ spl30_165 ),
inference(resolution,[],[f1316,f556]) ).
fof(f1316,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl30_165 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f2185,plain,
( spl30_279
| ~ spl30_55
| ~ spl30_164 ),
inference(avatar_split_clause,[],[f1311,f1274,f635,f2183]) ).
fof(f2183,plain,
( spl30_279
<=> ! [X0,X1] : v1_relat_1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_279])]) ).
fof(f1311,plain,
( ! [X0,X1] : v1_relat_1(sK13(X0,X1))
| ~ spl30_55
| ~ spl30_164 ),
inference(resolution,[],[f1275,f636]) ).
fof(f2181,plain,
( spl30_278
| ~ spl30_161
| ~ spl30_164 ),
inference(avatar_split_clause,[],[f1310,f1274,f1262,f2179]) ).
fof(f2179,plain,
( spl30_278
<=> ! [X0,X1] : v1_relat_1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_278])]) ).
fof(f1310,plain,
( ! [X0,X1] : v1_relat_1(sK12(X0,X1))
| ~ spl30_161
| ~ spl30_164 ),
inference(resolution,[],[f1275,f1263]) ).
fof(f2177,plain,
( spl30_146
| ~ spl30_265
| ~ spl30_175
| ~ spl30_277
| ~ spl30_120
| ~ spl30_178 ),
inference(avatar_split_clause,[],[f1413,f1393,f1003,f2174,f1367,f2072,f1183]) ).
fof(f2174,plain,
( spl30_277
<=> v1_xboole_0(k2_funct_1(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_277])]) ).
fof(f1003,plain,
( spl30_120
<=> ! [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,[spl30_120])]) ).
fof(f1413,plain,
( ~ v1_xboole_0(k2_funct_1(sK5))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ m1_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_120
| ~ spl30_178 ),
inference(duplicate_literal_removal,[],[f1411]) ).
fof(f1411,plain,
( ~ v1_xboole_0(k2_funct_1(sK5))
| ~ v1_funct_1(k2_funct_1(sK5))
| ~ m1_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_120
| ~ spl30_178 ),
inference(resolution,[],[f1395,f1004]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_120 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f2169,plain,
( ~ spl30_108
| spl30_146
| spl30_276
| ~ spl30_147
| ~ spl30_222 ),
inference(avatar_split_clause,[],[f1801,f1796,f1187,f2167,f1183,f922]) ).
fof(f922,plain,
( spl30_108
<=> sP2(sK4,k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_108])]) ).
fof(f1187,plain,
( spl30_147
<=> m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_147])]) ).
fof(f1796,plain,
( spl30_222
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X2))
| v1_group_6(X0,X2,X2)
| ~ sP2(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_222])]) ).
fof(f1801,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| v1_group_6(X0,sK4,sK4)
| ~ sP2(sK4,k1_autgroup(sK4)) )
| ~ spl30_147
| ~ spl30_222 ),
inference(resolution,[],[f1797,f1188]) ).
fof(f1188,plain,
( m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_147 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1797,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| v1_group_6(X0,X2,X2)
| ~ sP2(X2,X1) )
| ~ spl30_222 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f2145,plain,
( spl30_146
| spl30_275
| ~ spl30_147
| ~ spl30_208 ),
inference(avatar_split_clause,[],[f1694,f1651,f1187,f2143,f1183]) ).
fof(f1694,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ m1_subset_1(X0,k1_autgroup(sK4)) )
| ~ spl30_147
| ~ spl30_208 ),
inference(resolution,[],[f1652,f1188]) ).
fof(f2125,plain,
( spl30_146
| spl30_274
| ~ spl30_147
| ~ spl30_206 ),
inference(avatar_split_clause,[],[f1677,f1643,f1187,f2123,f1183]) ).
fof(f2123,plain,
( spl30_274
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_subset_1(X0,k1_autgroup(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_274])]) ).
fof(f1677,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ m1_subset_1(X0,k1_autgroup(sK4)) )
| ~ spl30_147
| ~ spl30_206 ),
inference(resolution,[],[f1644,f1188]) ).
fof(f2121,plain,
( spl30_146
| ~ spl30_238
| ~ spl30_109
| ~ spl30_273
| ~ spl30_120
| ~ spl30_182 ),
inference(avatar_split_clause,[],[f1461,f1420,f1003,f2118,f926,f1905,f1183]) ).
fof(f2118,plain,
( spl30_273
<=> v1_xboole_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_273])]) ).
fof(f1461,plain,
( ~ v1_xboole_0(sK5)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_120
| ~ spl30_182 ),
inference(duplicate_literal_removal,[],[f1459]) ).
fof(f1459,plain,
( ~ v1_xboole_0(sK5)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_120
| ~ spl30_182 ),
inference(resolution,[],[f1422,f1004]) ).
fof(f2113,plain,
( spl30_272
| ~ spl30_186
| ~ spl30_201 ),
inference(avatar_split_clause,[],[f1619,f1599,f1449,f2111]) ).
fof(f2111,plain,
( spl30_272
<=> ! [X0] :
( ~ r2_hidden(X0,k2_funct_1(sK5))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_272])]) ).
fof(f1619,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_funct_1(sK5))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4))) )
| ~ spl30_186
| ~ spl30_201 ),
inference(resolution,[],[f1600,f1451]) ).
fof(f2106,plain,
( spl30_271
| ~ spl30_42
| ~ spl30_266 ),
inference(avatar_split_clause,[],[f2082,f2078,f567,f2103]) ).
fof(f2103,plain,
( spl30_271
<=> v1_funct_1(sK9(k1_autgroup(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_271])]) ).
fof(f2078,plain,
( spl30_266
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_266])]) ).
fof(f2082,plain,
( v1_funct_1(sK9(k1_autgroup(sK4)))
| ~ spl30_42
| ~ spl30_266 ),
inference(resolution,[],[f2079,f568]) ).
fof(f2079,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_funct_1(X0) )
| ~ spl30_266 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f2101,plain,
( spl30_270
| ~ spl30_184
| ~ spl30_201 ),
inference(avatar_split_clause,[],[f1753,f1599,f1438,f2099]) ).
fof(f2099,plain,
( spl30_270
<=> ! [X0] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_270])]) ).
fof(f1753,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4))) )
| ~ spl30_184
| ~ spl30_201 ),
inference(resolution,[],[f1440,f1600]) ).
fof(f2097,plain,
( ~ spl30_108
| spl30_269
| ~ spl30_6
| ~ spl30_110 ),
inference(avatar_split_clause,[],[f952,f933,f390,f2094,f922]) ).
fof(f390,plain,
( spl30_6
<=> m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_6])]) ).
fof(f933,plain,
( spl30_110
<=> ! [X0,X1,X3] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_110])]) ).
fof(f952,plain,
( v1_group_6(sK5,sK4,sK4)
| ~ sP2(sK4,k1_autgroup(sK4))
| ~ spl30_6
| ~ spl30_110 ),
inference(resolution,[],[f934,f392]) ).
fof(f392,plain,
( m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
| ~ spl30_6 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f934,plain,
( ! [X3,X0,X1] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| v1_group_6(X3,X0,X0)
| ~ sP2(X0,X1) )
| ~ spl30_110 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f2092,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_108
| ~ spl30_215 ),
inference(avatar_split_clause,[],[f1723,f1710,f922,f385,f380,f375,f370,f365]) ).
fof(f1710,plain,
( spl30_215
<=> ! [X0] :
( sP2(X0,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_215])]) ).
fof(f1723,plain,
( ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| spl30_108
| ~ spl30_215 ),
inference(resolution,[],[f1711,f924]) ).
fof(f924,plain,
( ~ sP2(sK4,k1_autgroup(sK4))
| spl30_108 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f1711,plain,
( ! [X0] :
( sP2(X0,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_215 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f2091,plain,
( spl30_267
| ~ spl30_268
| ~ spl30_184
| ~ spl30_194 ),
inference(avatar_split_clause,[],[f1754,f1546,f1438,f2088,f2085]) ).
fof(f2085,plain,
( spl30_267
<=> ! [X0] : ~ r2_hidden(X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_267])]) ).
fof(f2088,plain,
( spl30_268
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_268])]) ).
fof(f1754,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)))
| ~ r2_hidden(X0,sK5) )
| ~ spl30_184
| ~ spl30_194 ),
inference(resolution,[],[f1440,f1547]) ).
fof(f2080,plain,
( spl30_146
| spl30_266
| ~ spl30_147
| ~ spl30_198 ),
inference(avatar_split_clause,[],[f1592,f1562,f1187,f2078,f1183]) ).
fof(f1592,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| v1_funct_1(X0) )
| ~ spl30_147
| ~ spl30_198 ),
inference(resolution,[],[f1563,f1188]) ).
fof(f2075,plain,
( spl30_265
| ~ spl30_80
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1487,f1449,f751,f2072]) ).
fof(f1487,plain,
( m1_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_80
| ~ spl30_186 ),
inference(resolution,[],[f1451,f752]) ).
fof(f2070,plain,
( spl30_264
| ~ spl30_55
| ~ spl30_144 ),
inference(avatar_split_clause,[],[f1175,f1172,f635,f2068]) ).
fof(f2068,plain,
( spl30_264
<=> ! [X0,X1] :
( ~ v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v3_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_264])]) ).
fof(f1172,plain,
( spl30_144
<=> ! [X2,X0,X1] :
( v4_group_6(X2,X0,X1)
| ~ v2_group_6(X2,X0,X1)
| ~ v3_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_144])]) ).
fof(f1175,plain,
( ! [X0,X1] :
( ~ v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v3_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) )
| ~ spl30_55
| ~ spl30_144 ),
inference(resolution,[],[f1173,f636]) ).
fof(f1173,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_group_6(X2,X0,X1)
| ~ v3_group_6(X2,X0,X1)
| v4_group_6(X2,X0,X1)
| ~ v1_group_6(X2,X0,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) )
| ~ spl30_144 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f2066,plain,
( spl30_263
| ~ spl30_55
| ~ spl30_143 ),
inference(avatar_split_clause,[],[f1168,f1162,f635,f2064]) ).
fof(f2064,plain,
( spl30_263
<=> ! [X0,X1] :
( ~ v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_263])]) ).
fof(f1168,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) )
| ~ spl30_55
| ~ spl30_143 ),
inference(resolution,[],[f1163,f636]) ).
fof(f2062,plain,
( spl30_262
| ~ spl30_55
| ~ spl30_142 ),
inference(avatar_split_clause,[],[f1165,f1158,f635,f2060]) ).
fof(f2060,plain,
( spl30_262
<=> ! [X0,X1] :
( ~ v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v3_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_262])]) ).
fof(f1165,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v3_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) )
| ~ spl30_55
| ~ spl30_142 ),
inference(resolution,[],[f1159,f636]) ).
fof(f2058,plain,
( spl30_261
| ~ spl30_55
| ~ spl30_141 ),
inference(avatar_split_clause,[],[f1154,f1148,f635,f2056]) ).
fof(f2056,plain,
( spl30_261
<=> ! [X0,X1] :
( ~ v2_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_261])]) ).
fof(f1148,plain,
( spl30_141
<=> ! [X2,X0,X1] :
( v2_group_6(X2,X0,X1)
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_141])]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ v2_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) )
| ~ spl30_55
| ~ spl30_141 ),
inference(resolution,[],[f1149,f636]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_funct_1(X2)
| v2_group_6(X2,X0,X1)
| ~ v1_group_6(X2,X0,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) )
| ~ spl30_141 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f2054,plain,
( ~ spl30_260
| ~ spl30_51
| ~ spl30_249 ),
inference(avatar_split_clause,[],[f2022,f1989,f619,f2051]) ).
fof(f2051,plain,
( spl30_260
<=> r2_hidden(k1_autgroup(sK4),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_260])]) ).
fof(f2022,plain,
( ~ r2_hidden(k1_autgroup(sK4),sK5)
| ~ spl30_51
| ~ spl30_249 ),
inference(resolution,[],[f1991,f620]) ).
fof(f1991,plain,
( r2_hidden(sK5,k1_autgroup(sK4))
| ~ spl30_249 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f2049,plain,
( spl30_259
| ~ spl30_55
| ~ spl30_140 ),
inference(avatar_split_clause,[],[f1151,f1140,f635,f2047]) ).
fof(f2047,plain,
( spl30_259
<=> ! [X0,X1] :
( ~ v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v2_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_259])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( ~ v2_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| v2_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X1)))
| ~ 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) )
| ~ spl30_55
| ~ spl30_140 ),
inference(resolution,[],[f1141,f636]) ).
fof(f2045,plain,
( spl30_258
| ~ spl30_55
| ~ spl30_139 ),
inference(avatar_split_clause,[],[f1137,f1132,f635,f2043]) ).
fof(f2043,plain,
( spl30_258
<=> ! [X0] :
( ~ v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| r2_hidden(sK13(u1_struct_0(X0),u1_struct_0(X0)),k1_autgroup(X0))
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_258])]) ).
fof(f1137,plain,
( ! [X0] :
( ~ v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| r2_hidden(sK13(u1_struct_0(X0),u1_struct_0(X0)),k1_autgroup(X0))
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_55
| ~ spl30_139 ),
inference(resolution,[],[f1133,f636]) ).
fof(f2041,plain,
( spl30_257
| ~ spl30_55
| ~ spl30_138 ),
inference(avatar_split_clause,[],[f1135,f1128,f635,f2039]) ).
fof(f2039,plain,
( spl30_257
<=> ! [X0] :
( ~ r2_hidden(sK13(u1_struct_0(X0),u1_struct_0(X0)),k1_autgroup(X0))
| v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_257])]) ).
fof(f1135,plain,
( ! [X0] :
( ~ r2_hidden(sK13(u1_struct_0(X0),u1_struct_0(X0)),k1_autgroup(X0))
| v4_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_55
| ~ spl30_138 ),
inference(resolution,[],[f1129,f636]) ).
fof(f2035,plain,
( spl30_256
| ~ spl30_95
| ~ spl30_144 ),
inference(avatar_split_clause,[],[f1177,f1172,f850,f2033]) ).
fof(f2033,plain,
( spl30_256
<=> ! [X0,X1] :
( ~ v2_group_6(sK8(X0,X1),X1,X1)
| ~ v3_group_6(sK8(X0,X1),X1,X1)
| v4_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_256])]) ).
fof(f1177,plain,
( ! [X0,X1] :
( ~ v2_group_6(sK8(X0,X1),X1,X1)
| ~ v3_group_6(sK8(X0,X1),X1,X1)
| v4_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_144 ),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1176,plain,
( ! [X0,X1] :
( ~ v2_group_6(sK8(X0,X1),X1,X1)
| ~ v3_group_6(sK8(X0,X1),X1,X1)
| v4_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_144 ),
inference(resolution,[],[f1173,f851]) ).
fof(f2027,plain,
( spl30_255
| ~ spl30_95
| ~ spl30_139 ),
inference(avatar_split_clause,[],[f1138,f1132,f850,f2025]) ).
fof(f2025,plain,
( spl30_255
<=> ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| r2_hidden(sK8(X0,X1),k1_autgroup(X1))
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_255])]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| r2_hidden(sK8(X0,X1),k1_autgroup(X1))
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_139 ),
inference(resolution,[],[f1133,f851]) ).
fof(f2020,plain,
( spl30_254
| ~ spl30_95
| ~ spl30_138 ),
inference(avatar_split_clause,[],[f1136,f1128,f850,f2018]) ).
fof(f2018,plain,
( spl30_254
<=> ! [X0,X1] :
( ~ r2_hidden(sK8(X0,X1),k1_autgroup(X1))
| v4_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_254])]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK8(X0,X1),k1_autgroup(X1))
| v4_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_138 ),
inference(resolution,[],[f1129,f851]) ).
fof(f2012,plain,
( spl30_253
| ~ spl30_95
| ~ spl30_143 ),
inference(avatar_split_clause,[],[f1170,f1162,f850,f2010]) ).
fof(f2010,plain,
( spl30_253
<=> ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| v2_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_253])]) ).
fof(f1170,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| v2_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_143 ),
inference(duplicate_literal_removal,[],[f1169]) ).
fof(f1169,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| v2_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_143 ),
inference(resolution,[],[f1163,f851]) ).
fof(f2008,plain,
( spl30_252
| ~ spl30_95
| ~ spl30_142 ),
inference(avatar_split_clause,[],[f1167,f1158,f850,f2006]) ).
fof(f2006,plain,
( spl30_252
<=> ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| v3_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_252])]) ).
fof(f1167,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| v3_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_142 ),
inference(duplicate_literal_removal,[],[f1166]) ).
fof(f1166,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK8(X0,X1),X1,X1)
| v3_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_142 ),
inference(resolution,[],[f1159,f851]) ).
fof(f2000,plain,
( spl30_251
| ~ spl30_95
| ~ spl30_141 ),
inference(avatar_split_clause,[],[f1156,f1148,f850,f1998]) ).
fof(f1998,plain,
( spl30_251
<=> ! [X0,X1] :
( ~ v2_funct_1(sK8(X0,X1))
| v2_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_251])]) ).
fof(f1156,plain,
( ! [X0,X1] :
( ~ v2_funct_1(sK8(X0,X1))
| v2_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_141 ),
inference(duplicate_literal_removal,[],[f1155]) ).
fof(f1155,plain,
( ! [X0,X1] :
( ~ v2_funct_1(sK8(X0,X1))
| v2_group_6(sK8(X0,X1),X1,X1)
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_141 ),
inference(resolution,[],[f1149,f851]) ).
fof(f1996,plain,
( spl30_250
| ~ spl30_95
| ~ spl30_140 ),
inference(avatar_split_clause,[],[f1153,f1140,f850,f1994]) ).
fof(f1994,plain,
( spl30_250
<=> ! [X0,X1] :
( ~ v2_group_6(sK8(X0,X1),X1,X1)
| v2_funct_1(sK8(X0,X1))
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_250])]) ).
fof(f1153,plain,
( ! [X0,X1] :
( ~ v2_group_6(sK8(X0,X1),X1,X1)
| v2_funct_1(sK8(X0,X1))
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_140 ),
inference(duplicate_literal_removal,[],[f1152]) ).
fof(f1152,plain,
( ! [X0,X1] :
( ~ v2_group_6(sK8(X0,X1),X1,X1)
| v2_funct_1(sK8(X0,X1))
| ~ v1_group_6(sK8(X0,X1),X1,X1)
| ~ v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| sP1(X0,X1) )
| ~ spl30_95
| ~ spl30_140 ),
inference(resolution,[],[f1141,f851]) ).
fof(f1992,plain,
( spl30_249
| spl30_183
| ~ spl30_78
| ~ spl30_176 ),
inference(avatar_split_clause,[],[f1408,f1372,f743,f1433,f1989]) ).
fof(f1433,plain,
( spl30_183
<=> v1_xboole_0(k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_183])]) ).
fof(f743,plain,
( spl30_78
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_78])]) ).
fof(f1372,plain,
( spl30_176
<=> m1_subset_1(sK5,k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_176])]) ).
fof(f1408,plain,
( v1_xboole_0(k1_autgroup(sK4))
| r2_hidden(sK5,k1_autgroup(sK4))
| ~ spl30_78
| ~ spl30_176 ),
inference(resolution,[],[f1374,f744]) ).
fof(f744,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl30_78 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f1374,plain,
( m1_subset_1(sK5,k1_autgroup(sK4))
| ~ spl30_176 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1987,plain,
( spl30_248
| ~ spl30_55
| ~ spl30_132 ),
inference(avatar_split_clause,[],[f1101,f1090,f635,f1985]) ).
fof(f1985,plain,
( spl30_248
<=> ! [X0,X1] :
( sP0(X0,sK13(u1_struct_0(X0),u1_struct_0(X0)),X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X0)))
| ~ sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_248])]) ).
fof(f1101,plain,
( ! [X0,X1] :
( sP0(X0,sK13(u1_struct_0(X0),u1_struct_0(X0)),X1)
| ~ v1_group_6(sK13(u1_struct_0(X0),u1_struct_0(X0)),X0,X0)
| ~ v1_funct_2(sK13(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK13(u1_struct_0(X0),u1_struct_0(X0)))
| ~ sP1(X1,X0) )
| ~ spl30_55
| ~ spl30_132 ),
inference(resolution,[],[f1091,f636]) ).
fof(f1958,plain,
( spl30_247
| ~ spl30_114
| ~ spl30_134 ),
inference(avatar_split_clause,[],[f1115,f1098,f949,f1956]) ).
fof(f1956,plain,
( spl30_247
<=> ! [X0] :
( m2_relset_1(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_247])]) ).
fof(f949,plain,
( spl30_114
<=> ! [X2,X0,X1] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_114])]) ).
fof(f1098,plain,
( spl30_134
<=> ! [X0,X1] :
( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_134])]) ).
fof(f1115,plain,
( ! [X0] :
( m2_relset_1(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_134 ),
inference(resolution,[],[f1099,f950]) ).
fof(f950,plain,
( ! [X2,X0,X1] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_114 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f1099,plain,
( ! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_134 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1954,plain,
( spl30_246
| ~ spl30_114
| ~ spl30_133 ),
inference(avatar_split_clause,[],[f1106,f1094,f949,f1952]) ).
fof(f1952,plain,
( spl30_246
<=> ! [X0] :
( v1_funct_2(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_246])]) ).
fof(f1094,plain,
( spl30_133
<=> ! [X0,X1] :
( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_133])]) ).
fof(f1106,plain,
( ! [X0] :
( v1_funct_2(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_133 ),
inference(resolution,[],[f1095,f950]) ).
fof(f1095,plain,
( ! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_133 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1950,plain,
( spl30_245
| ~ spl30_53
| ~ spl30_136 ),
inference(avatar_split_clause,[],[f1120,f1117,f627,f1948]) ).
fof(f1948,plain,
( spl30_245
<=> ! [X0] :
( ~ sP1(sK11(u1_struct_0(X0),u1_struct_0(X0)),X0)
| ~ sP2(X0,sK11(u1_struct_0(X0),u1_struct_0(X0)))
| k1_autgroup(X0) = sK11(u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_245])]) ).
fof(f1117,plain,
( spl30_136
<=> ! [X0,X1] :
( k1_autgroup(X0) = X1
| ~ sP1(X1,X0)
| ~ sP2(X0,X1)
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_136])]) ).
fof(f1120,plain,
( ! [X0] :
( ~ sP1(sK11(u1_struct_0(X0),u1_struct_0(X0)),X0)
| ~ sP2(X0,sK11(u1_struct_0(X0),u1_struct_0(X0)))
| k1_autgroup(X0) = sK11(u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_53
| ~ spl30_136 ),
inference(resolution,[],[f1118,f628]) ).
fof(f1118,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ sP1(X1,X0)
| ~ sP2(X0,X1)
| k1_autgroup(X0) = X1
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_136 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1939,plain,
( spl30_244
| ~ spl30_113
| ~ spl30_134 ),
inference(avatar_split_clause,[],[f1114,f1098,f945,f1937]) ).
fof(f1937,plain,
( spl30_244
<=> ! [X0,X1] :
( m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_244])]) ).
fof(f945,plain,
( spl30_113
<=> ! [X0,X3,X2,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_113])]) ).
fof(f1114,plain,
( ! [X0,X1] :
( m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_113
| ~ spl30_134 ),
inference(resolution,[],[f1099,f946]) ).
fof(f946,plain,
( ! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_113 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f1935,plain,
( spl30_243
| ~ spl30_113
| ~ spl30_133 ),
inference(avatar_split_clause,[],[f1105,f1094,f945,f1933]) ).
fof(f1933,plain,
( spl30_243
<=> ! [X0,X1] :
( v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_243])]) ).
fof(f1105,plain,
( ! [X0,X1] :
( v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_113
| ~ spl30_133 ),
inference(resolution,[],[f1095,f946]) ).
fof(f1931,plain,
( spl30_242
| ~ spl30_114
| ~ spl30_129 ),
inference(avatar_split_clause,[],[f1078,f1072,f949,f1929]) ).
fof(f1929,plain,
( spl30_242
<=> ! [X0] :
( v1_group_6(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))),X0,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_242])]) ).
fof(f1072,plain,
( spl30_129
<=> ! [X0,X1] :
( v1_group_6(k2_funct_1(X1),X0,X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_129])]) ).
fof(f1078,plain,
( ! [X0] :
( v1_group_6(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))),X0,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_129 ),
inference(resolution,[],[f1073,f950]) ).
fof(f1073,plain,
( ! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_group_6(k2_funct_1(X1),X0,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_129 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1925,plain,
( spl30_241
| ~ spl30_95
| ~ spl30_132 ),
inference(avatar_split_clause,[],[f1102,f1090,f850,f1923]) ).
fof(f1923,plain,
( spl30_241
<=> ! [X2,X0,X1] :
( sP0(X0,sK8(X1,X0),X2)
| ~ v1_group_6(sK8(X1,X0),X0,X0)
| ~ v1_funct_2(sK8(X1,X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK8(X1,X0))
| ~ sP1(X2,X0)
| sP1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_241])]) ).
fof(f1102,plain,
( ! [X2,X0,X1] :
( sP0(X0,sK8(X1,X0),X2)
| ~ v1_group_6(sK8(X1,X0),X0,X0)
| ~ v1_funct_2(sK8(X1,X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK8(X1,X0))
| ~ sP1(X2,X0)
| sP1(X1,X0) )
| ~ spl30_95
| ~ spl30_132 ),
inference(resolution,[],[f1091,f851]) ).
fof(f1918,plain,
( spl30_240
| ~ spl30_113
| ~ spl30_129 ),
inference(avatar_split_clause,[],[f1077,f1072,f945,f1916]) ).
fof(f1916,plain,
( spl30_240
<=> ! [X0,X1] :
( v1_group_6(k2_funct_1(X0),X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_240])]) ).
fof(f1077,plain,
( ! [X0,X1] :
( v1_group_6(k2_funct_1(X0),X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_113
| ~ spl30_129 ),
inference(resolution,[],[f1073,f946]) ).
fof(f1914,plain,
( spl30_239
| ~ spl30_114
| ~ spl30_126 ),
inference(avatar_split_clause,[],[f1066,f1052,f949,f1912]) ).
fof(f1912,plain,
( spl30_239
<=> ! [X0] :
( v1_funct_1(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_239])]) ).
fof(f1052,plain,
( spl30_126
<=> ! [X0,X1] :
( v1_funct_1(k2_funct_1(X1))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_126])]) ).
fof(f1066,plain,
( ! [X0] :
( v1_funct_1(k2_funct_1(sK16(u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl30_114
| ~ spl30_126 ),
inference(resolution,[],[f1053,f950]) ).
fof(f1053,plain,
( ! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_1(k2_funct_1(X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_126 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1908,plain,
( spl30_238
| ~ spl30_80
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1471,f1438,f751,f1905]) ).
fof(f1471,plain,
( m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_80
| ~ spl30_184 ),
inference(resolution,[],[f1440,f752]) ).
fof(f1903,plain,
( spl30_237
| ~ spl30_101
| ~ spl30_119 ),
inference(avatar_split_clause,[],[f1014,f999,f886,f1901]) ).
fof(f1901,plain,
( spl30_237
<=> ! [X0] :
( v1_partfun1(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))
| ~ m1_relset_1(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))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_237])]) ).
fof(f1014,plain,
( ! [X0] :
( v1_partfun1(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))
| ~ m1_relset_1(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))
| ~ l1_group_1(X0) )
| ~ spl30_101
| ~ spl30_119 ),
inference(resolution,[],[f1000,f887]) ).
fof(f1894,plain,
( spl30_236
| ~ spl30_113
| ~ spl30_126 ),
inference(avatar_split_clause,[],[f1065,f1052,f945,f1892]) ).
fof(f1892,plain,
( spl30_236
<=> ! [X0,X1] :
( v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_236])]) ).
fof(f1065,plain,
( ! [X0,X1] :
( v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl30_113
| ~ spl30_126 ),
inference(resolution,[],[f1053,f946]) ).
fof(f1890,plain,
( spl30_235
| ~ spl30_101
| ~ spl30_120 ),
inference(avatar_split_clause,[],[f1018,f1003,f886,f1888]) ).
fof(f1888,plain,
( spl30_235
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_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))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_235])]) ).
fof(f1018,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_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))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl30_101
| ~ spl30_120 ),
inference(resolution,[],[f1004,f887]) ).
fof(f1883,plain,
( spl30_234
| ~ spl30_58
| ~ spl30_125 ),
inference(avatar_split_clause,[],[f1050,f1046,f647,f1881]) ).
fof(f1881,plain,
( spl30_234
<=> ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_234])]) ).
fof(f647,plain,
( spl30_58
<=> ! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_58])]) ).
fof(f1046,plain,
( spl30_125
<=> ! [X0,X1] :
( ~ v3_struct_0(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)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_125])]) ).
fof(f1050,plain,
( ! [X0] :
( ~ m1_relset_1(sK15(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK15(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK15(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl30_58
| ~ spl30_125 ),
inference(resolution,[],[f1047,f648]) ).
fof(f648,plain,
( ! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1)
| ~ spl30_58 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1047,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl30_125 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1879,plain,
( spl30_233
| ~ spl30_94
| ~ spl30_119 ),
inference(avatar_split_clause,[],[f1015,f999,f846,f1877]) ).
fof(f1877,plain,
( spl30_233
<=> ! [X0,X1] :
( v1_partfun1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_233])]) ).
fof(f846,plain,
( spl30_94
<=> ! [X0,X1] :
( sP1(X0,X1)
| v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_94])]) ).
fof(f1015,plain,
( ! [X0,X1] :
( v1_partfun1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| sP1(X0,X1) )
| ~ spl30_94
| ~ spl30_119 ),
inference(resolution,[],[f1000,f847]) ).
fof(f847,plain,
( ! [X0,X1] :
( v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| sP1(X0,X1) )
| ~ spl30_94 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1871,plain,
( spl30_232
| ~ spl30_101
| ~ spl30_125 ),
inference(avatar_split_clause,[],[f1049,f1046,f886,f1869]) ).
fof(f1869,plain,
( spl30_232
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_232])]) ).
fof(f1049,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl30_101
| ~ spl30_125 ),
inference(resolution,[],[f1047,f887]) ).
fof(f1867,plain,
( spl30_231
| ~ spl30_58
| ~ spl30_123 ),
inference(avatar_split_clause,[],[f1040,f1034,f647,f1865]) ).
fof(f1865,plain,
( spl30_231
<=> ! [X0] :
( ~ m1_relset_1(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)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_231])]) ).
fof(f1034,plain,
( spl30_123
<=> ! [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,[spl30_123])]) ).
fof(f1040,plain,
( ! [X0] :
( ~ m1_relset_1(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)) )
| ~ spl30_58
| ~ spl30_123 ),
inference(resolution,[],[f1035,f648]) ).
fof(f1035,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl30_123 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1863,plain,
( spl30_230
| ~ spl30_58
| ~ spl30_122 ),
inference(avatar_split_clause,[],[f1038,f1030,f647,f1861]) ).
fof(f1861,plain,
( spl30_230
<=> ! [X0] :
( ~ m1_relset_1(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)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_230])]) ).
fof(f1030,plain,
( spl30_122
<=> ! [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,[spl30_122])]) ).
fof(f1038,plain,
( ! [X0] :
( ~ m1_relset_1(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)) )
| ~ spl30_58
| ~ spl30_122 ),
inference(resolution,[],[f1031,f648]) ).
fof(f1031,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl30_122 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1857,plain,
( spl30_229
| ~ spl30_94
| ~ spl30_120 ),
inference(avatar_split_clause,[],[f1022,f1003,f846,f1855]) ).
fof(f1855,plain,
( spl30_229
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK8(X0,X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_229])]) ).
fof(f1022,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK8(X0,X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| sP1(X0,X1) )
| ~ spl30_94
| ~ spl30_120 ),
inference(duplicate_literal_removal,[],[f1019]) ).
fof(f1019,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK8(X0,X1))
| ~ v1_funct_1(sK8(X0,X1))
| ~ m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| sP1(X0,X1) )
| ~ spl30_94
| ~ spl30_120 ),
inference(resolution,[],[f1004,f847]) ).
fof(f1849,plain,
( spl30_228
| ~ spl30_80
| ~ spl30_187 ),
inference(avatar_split_clause,[],[f1506,f1455,f751,f1846]) ).
fof(f1846,plain,
( spl30_228
<=> m1_relset_1(k2_funct_1(sK5),sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_228])]) ).
fof(f1455,plain,
( spl30_187
<=> m2_relset_1(k2_funct_1(sK5),sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_187])]) ).
fof(f1506,plain,
( m1_relset_1(k2_funct_1(sK5),sK20,sK20)
| ~ spl30_80
| ~ spl30_187 ),
inference(resolution,[],[f1457,f752]) ).
fof(f1457,plain,
( m2_relset_1(k2_funct_1(sK5),sK20,sK20)
| ~ spl30_187 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1844,plain,
( spl30_227
| ~ spl30_101
| ~ spl30_123 ),
inference(avatar_split_clause,[],[f1039,f1034,f886,f1842]) ).
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(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_101
| ~ spl30_123 ),
inference(resolution,[],[f1035,f887]) ).
fof(f1840,plain,
( spl30_226
| ~ spl30_101
| ~ spl30_122 ),
inference(avatar_split_clause,[],[f1037,f1030,f886,f1838]) ).
fof(f1037,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl30_101
| ~ spl30_122 ),
inference(resolution,[],[f1031,f887]) ).
fof(f1836,plain,
( spl30_225
| ~ spl30_110
| ~ spl30_114 ),
inference(avatar_split_clause,[],[f964,f949,f933,f1834]) ).
fof(f1834,plain,
( spl30_225
<=> ! [X0,X1] :
( ~ m1_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_group_6(sK16(u1_struct_0(X1),u1_struct_0(X1),X0),X1,X1)
| ~ sP2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_225])]) ).
fof(f964,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_group_6(sK16(u1_struct_0(X1),u1_struct_0(X1),X0),X1,X1)
| ~ sP2(X1,X0) )
| ~ spl30_110
| ~ spl30_114 ),
inference(resolution,[],[f950,f934]) ).
fof(f1809,plain,
( spl30_224
| ~ spl30_104
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f985,f975,f898,f1807]) ).
fof(f1807,plain,
( spl30_224
<=> ! [X0,X1] :
( m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_224])]) ).
fof(f898,plain,
( spl30_104
<=> ! [X0,X1] :
( sP2(X0,X1)
| m2_fraenkel(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_104])]) ).
fof(f975,plain,
( spl30_116
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_116])]) ).
fof(f985,plain,
( ! [X0,X1] :
( m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) )
| ~ spl30_104
| ~ spl30_116 ),
inference(resolution,[],[f976,f899]) ).
fof(f899,plain,
( ! [X0,X1] :
( m2_fraenkel(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1)
| sP2(X0,X1) )
| ~ spl30_104 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f976,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_116 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f1805,plain,
( spl30_223
| ~ spl30_104
| ~ spl30_115 ),
inference(avatar_split_clause,[],[f979,f971,f898,f1803]) ).
fof(f1803,plain,
( spl30_223
<=> ! [X0,X1] :
( v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_223])]) ).
fof(f971,plain,
( spl30_115
<=> ! [X0,X3,X2,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_115])]) ).
fof(f979,plain,
( ! [X0,X1] :
( v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) )
| ~ spl30_104
| ~ spl30_115 ),
inference(resolution,[],[f972,f899]) ).
fof(f972,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_115 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f1798,plain,
( spl30_222
| ~ spl30_110
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f958,f945,f933,f1796]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X2))
| v1_group_6(X0,X2,X2)
| ~ sP2(X2,X1) )
| ~ spl30_110
| ~ spl30_113 ),
inference(resolution,[],[f946,f934]) ).
fof(f1792,plain,
( spl30_221
| ~ spl30_58
| ~ spl30_120 ),
inference(avatar_split_clause,[],[f1021,f1003,f647,f1790]) ).
fof(f1021,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK15(X0,X1))
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl30_58
| ~ spl30_120 ),
inference(resolution,[],[f1004,f648]) ).
fof(f1788,plain,
( spl30_220
| ~ spl30_58
| ~ spl30_119 ),
inference(avatar_split_clause,[],[f1017,f999,f647,f1786]) ).
fof(f1017,plain,
( ! [X0,X1] :
( v1_partfun1(sK15(X0,X1),X0,X1)
| ~ v1_funct_1(sK15(X0,X1))
| ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_58
| ~ spl30_119 ),
inference(resolution,[],[f1000,f648]) ).
fof(f1781,plain,
( spl30_219
| ~ spl30_104
| ~ spl30_112 ),
inference(avatar_split_clause,[],[f956,f941,f898,f1779]) ).
fof(f1779,plain,
( spl30_219
<=> ! [X0,X1] :
( m1_subset_1(sK7(X0,X1),X1)
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_219])]) ).
fof(f941,plain,
( spl30_112
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_112])]) ).
fof(f956,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(X0,X1),X1)
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) )
| ~ spl30_104
| ~ spl30_112 ),
inference(resolution,[],[f942,f899]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_112 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f1739,plain,
( spl30_1
| ~ spl30_47
| ~ spl30_65
| ~ spl30_146 ),
inference(avatar_split_clause,[],[f1376,f1183,f679,f596,f365]) ).
fof(f596,plain,
( spl30_47
<=> l1_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_47])]) ).
fof(f679,plain,
( spl30_65
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_65])]) ).
fof(f1376,plain,
( ~ l1_struct_0(sK4)
| v3_struct_0(sK4)
| ~ spl30_65
| ~ spl30_146 ),
inference(resolution,[],[f1185,f680]) ).
fof(f680,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl30_65 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f1185,plain,
( v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_146 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1738,plain,
( spl30_218
| ~ spl30_104
| ~ spl30_107 ),
inference(avatar_split_clause,[],[f931,f913,f898,f1736]) ).
fof(f1736,plain,
( spl30_218
<=> ! [X0,X1] :
( v1_funct_1(sK7(X0,X1))
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_218])]) ).
fof(f913,plain,
( spl30_107
<=> ! [X0,X3,X2,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_107])]) ).
fof(f931,plain,
( ! [X0,X1] :
( v1_funct_1(sK7(X0,X1))
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| sP2(X0,X1) )
| ~ spl30_104
| ~ spl30_107 ),
inference(resolution,[],[f914,f899]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_107 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f1734,plain,
( spl30_217
| ~ spl30_97
| ~ spl30_106 ),
inference(avatar_split_clause,[],[f920,f909,f858,f1732]) ).
fof(f1732,plain,
( spl30_217
<=> ! [X0,X3,X2,X1] :
( sP0(X0,X1,X2)
| ~ v2_funct_1(X1)
| ~ r2_hidden(X1,X2)
| sP0(X0,X1,X3)
| r2_hidden(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_217])]) ).
fof(f858,plain,
( spl30_97
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v3_group_6(X1,X0,X0)
| r2_hidden(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_97])]) ).
fof(f909,plain,
( spl30_106
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ v3_group_6(X1,X0,X0)
| ~ v2_funct_1(X1)
| ~ r2_hidden(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_106])]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,X1,X2)
| ~ v2_funct_1(X1)
| ~ r2_hidden(X1,X2)
| sP0(X0,X1,X3)
| r2_hidden(X1,X3) )
| ~ spl30_97
| ~ spl30_106 ),
inference(resolution,[],[f910,f859]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v3_group_6(X1,X0,X0)
| r2_hidden(X1,X2) )
| ~ spl30_97 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( ~ v3_group_6(X1,X0,X0)
| sP0(X0,X1,X2)
| ~ v2_funct_1(X1)
| ~ r2_hidden(X1,X2) )
| ~ spl30_106 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1727,plain,
( spl30_216
| ~ spl30_78
| ~ spl30_91 ),
inference(avatar_split_clause,[],[f834,f821,f743,f1725]) ).
fof(f1725,plain,
( spl30_216
<=> ! [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,[spl30_216])]) ).
fof(f821,plain,
( spl30_91
<=> ! [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,[spl30_91])]) ).
fof(f834,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))) )
| ~ spl30_78
| ~ spl30_91 ),
inference(resolution,[],[f822,f744]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl30_91 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1712,plain,
( spl30_215
| ~ spl30_121
| ~ spl30_128 ),
inference(avatar_split_clause,[],[f1070,f1060,f1024,f1710]) ).
fof(f1024,plain,
( spl30_121
<=> ! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_121])]) ).
fof(f1060,plain,
( spl30_128
<=> ! [X0] :
( sP2(X0,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_128])]) ).
fof(f1070,plain,
( ! [X0] :
( sP2(X0,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_121
| ~ spl30_128 ),
inference(duplicate_literal_removal,[],[f1069]) ).
fof(f1069,plain,
( ! [X0] :
( sP2(X0,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_121
| ~ spl30_128 ),
inference(resolution,[],[f1061,f1025]) ).
fof(f1025,plain,
( ! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_121 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1061,plain,
( ! [X0] :
( ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| sP2(X0,k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_128 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1708,plain,
( spl30_214
| ~ spl30_121
| ~ spl30_127 ),
inference(avatar_split_clause,[],[f1068,f1056,f1024,f1706]) ).
fof(f1706,plain,
( spl30_214
<=> ! [X0] :
( sP1(k1_autgroup(X0),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_214])]) ).
fof(f1056,plain,
( spl30_127
<=> ! [X0] :
( sP1(k1_autgroup(X0),X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_127])]) ).
fof(f1068,plain,
( ! [X0] :
( sP1(k1_autgroup(X0),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_121
| ~ spl30_127 ),
inference(duplicate_literal_removal,[],[f1067]) ).
fof(f1067,plain,
( ! [X0] :
( sP1(k1_autgroup(X0),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_121
| ~ spl30_127 ),
inference(resolution,[],[f1057,f1025]) ).
fof(f1057,plain,
( ! [X0] :
( ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| sP1(k1_autgroup(X0),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl30_127 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1704,plain,
( spl30_213
| ~ spl30_84
| ~ spl30_97 ),
inference(avatar_split_clause,[],[f880,f858,f787,f1702]) ).
fof(f787,plain,
( spl30_84
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,sK8(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_84])]) ).
fof(f880,plain,
( ! [X0,X1] :
( v3_group_6(sK8(X1,X0),X0,X0)
| r2_hidden(sK8(X1,X0),X1)
| sP1(X1,X0) )
| ~ spl30_84
| ~ spl30_97 ),
inference(resolution,[],[f859,f788]) ).
fof(f788,plain,
( ! [X0,X1] :
( ~ sP0(X1,sK8(X0,X1),X0)
| sP1(X0,X1) )
| ~ spl30_84 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1700,plain,
( spl30_212
| ~ spl30_78
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f829,f817,f743,f1698]) ).
fof(f1698,plain,
( spl30_212
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_212])]) ).
fof(f817,plain,
( spl30_90
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_90])]) ).
fof(f829,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl30_78
| ~ spl30_90 ),
inference(resolution,[],[f818,f744]) ).
fof(f818,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl30_90 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1666,plain,
( spl30_211
| ~ spl30_59
| ~ spl30_121 ),
inference(avatar_split_clause,[],[f1028,f1024,f651,f1664]) ).
fof(f1664,plain,
( spl30_211
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_211])]) ).
fof(f651,plain,
( spl30_59
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_59])]) ).
fof(f1028,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_autgroup(X0)) )
| ~ spl30_59
| ~ spl30_121 ),
inference(resolution,[],[f1025,f652]) ).
fof(f652,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) )
| ~ spl30_59 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f1662,plain,
( spl30_210
| ~ spl30_60
| ~ spl30_121 ),
inference(avatar_split_clause,[],[f1027,f1024,f655,f1660]) ).
fof(f1660,plain,
( spl30_210
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k1_autgroup(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_210])]) ).
fof(f655,plain,
( spl30_60
<=> ! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_60])]) ).
fof(f1027,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| v1_fraenkel(k1_autgroup(X0)) )
| ~ spl30_60
| ~ spl30_121 ),
inference(resolution,[],[f1025,f656]) ).
fof(f656,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_fraenkel(X2) )
| ~ spl30_60 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f1658,plain,
( spl30_209
| ~ spl30_164
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1486,f1449,f1274,f1655]) ).
fof(f1655,plain,
( spl30_209
<=> v1_relat_1(k2_funct_1(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_209])]) ).
fof(f1486,plain,
( v1_relat_1(k2_funct_1(sK5))
| ~ spl30_164
| ~ spl30_186 ),
inference(resolution,[],[f1451,f1275]) ).
fof(f1653,plain,
( spl30_208
| ~ spl30_113
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f989,f975,f945,f1651]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_113
| ~ spl30_116 ),
inference(duplicate_literal_removal,[],[f986]) ).
fof(f986,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_113
| ~ spl30_116 ),
inference(resolution,[],[f976,f946]) ).
fof(f1649,plain,
( spl30_207
| ~ spl30_114
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f988,f975,f949,f1647]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_114
| ~ spl30_116 ),
inference(duplicate_literal_removal,[],[f987]) ).
fof(f987,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_114
| ~ spl30_116 ),
inference(resolution,[],[f976,f950]) ).
fof(f1645,plain,
( spl30_206
| ~ spl30_113
| ~ spl30_115 ),
inference(avatar_split_clause,[],[f983,f971,f945,f1643]) ).
fof(f983,plain,
( ! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) )
| ~ spl30_113
| ~ spl30_115 ),
inference(duplicate_literal_removal,[],[f980]) ).
fof(f980,plain,
( ! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_113
| ~ spl30_115 ),
inference(resolution,[],[f972,f946]) ).
fof(f1641,plain,
( spl30_205
| ~ spl30_114
| ~ spl30_115 ),
inference(avatar_split_clause,[],[f982,f971,f949,f1639]) ).
fof(f1639,plain,
( spl30_205
<=> ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_205])]) ).
fof(f982,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_114
| ~ spl30_115 ),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f981,plain,
( ! [X2,X0,X1] :
( v1_funct_2(sK16(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl30_114
| ~ spl30_115 ),
inference(resolution,[],[f972,f950]) ).
fof(f1613,plain,
( spl30_204
| ~ spl30_112
| ~ spl30_114 ),
inference(avatar_split_clause,[],[f969,f949,f941,f1611]) ).
fof(f1611,plain,
( spl30_204
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK16(X1,X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_204])]) ).
fof(f969,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK16(X1,X2,X0),X0) )
| ~ spl30_112
| ~ spl30_114 ),
inference(duplicate_literal_removal,[],[f966]) ).
fof(f966,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK16(X1,X2,X0),X0)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_112
| ~ spl30_114 ),
inference(resolution,[],[f950,f942]) ).
fof(f1609,plain,
( spl30_203
| ~ spl30_80
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f901,f890,f751,f1607]) ).
fof(f901,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)) )
| ~ spl30_80
| ~ spl30_102 ),
inference(resolution,[],[f891,f752]) ).
fof(f1605,plain,
( spl30_202
| ~ spl30_90
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f840,f825,f817,f1603]) ).
fof(f825,plain,
( spl30_92
<=> ! [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,[spl30_92])]) ).
fof(f840,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl30_90
| ~ spl30_92 ),
inference(resolution,[],[f826,f818]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl30_92 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f1601,plain,
( spl30_201
| ~ spl30_91
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f839,f825,f821,f1599]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl30_91
| ~ spl30_92 ),
inference(resolution,[],[f826,f822]) ).
fof(f1597,plain,
( spl30_200
| ~ spl30_84
| ~ spl30_86 ),
inference(avatar_split_clause,[],[f811,f795,f787,f1595]) ).
fof(f795,plain,
( spl30_86
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v2_funct_1(X1)
| r2_hidden(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_86])]) ).
fof(f811,plain,
( ! [X0,X1] :
( v2_funct_1(sK8(X0,X1))
| r2_hidden(sK8(X0,X1),X0)
| sP1(X0,X1) )
| ~ spl30_84
| ~ spl30_86 ),
inference(resolution,[],[f796,f788]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v2_funct_1(X1)
| r2_hidden(X1,X2) )
| ~ spl30_86 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1568,plain,
( spl30_199
| ~ spl30_107
| ~ spl30_114 ),
inference(avatar_split_clause,[],[f968,f949,f913,f1566]) ).
fof(f1566,plain,
( spl30_199
<=> ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK16(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_199])]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK16(X1,X2,X0)) )
| ~ spl30_107
| ~ spl30_114 ),
inference(duplicate_literal_removal,[],[f967]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK16(X1,X2,X0))
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) )
| ~ spl30_107
| ~ spl30_114 ),
inference(resolution,[],[f950,f914]) ).
fof(f1564,plain,
( spl30_198
| ~ spl30_107
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f962,f945,f913,f1562]) ).
fof(f962,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0) )
| ~ spl30_107
| ~ spl30_113 ),
inference(duplicate_literal_removal,[],[f961]) ).
fof(f961,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3) )
| ~ spl30_107
| ~ spl30_113 ),
inference(resolution,[],[f946,f914]) ).
fof(f1560,plain,
( spl30_197
| ~ spl30_81
| ~ spl30_98 ),
inference(avatar_split_clause,[],[f884,f862,f755,f1558]) ).
fof(f755,plain,
( spl30_81
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_81])]) ).
fof(f862,plain,
( spl30_98
<=> ! [X0,X1] :
( m1_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_98])]) ).
fof(f884,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| m2_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ spl30_81
| ~ spl30_98 ),
inference(resolution,[],[f863,f756]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl30_81 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f863,plain,
( ! [X0,X1] :
( m1_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) )
| ~ spl30_98 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f1556,plain,
( spl30_196
| ~ spl30_80
| ~ spl30_95 ),
inference(avatar_split_clause,[],[f878,f850,f751,f1554]) ).
fof(f1554,plain,
( spl30_196
<=> ! [X0,X1] :
( sP1(X0,X1)
| m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_196])]) ).
fof(f878,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| m1_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1)) )
| ~ spl30_80
| ~ spl30_95 ),
inference(resolution,[],[f851,f752]) ).
fof(f1552,plain,
( spl30_195
| ~ spl30_64
| ~ spl30_91 ),
inference(avatar_split_clause,[],[f835,f821,f675,f1550]) ).
fof(f1550,plain,
( spl30_195
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_195])]) ).
fof(f675,plain,
( spl30_64
<=> ! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_64])]) ).
fof(f835,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl30_64
| ~ spl30_91 ),
inference(resolution,[],[f822,f676]) ).
fof(f676,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(X1)
| ~ v1_fraenkel(X0) )
| ~ spl30_64 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f1548,plain,
( spl30_194
| ~ spl30_88
| ~ spl30_91 ),
inference(avatar_split_clause,[],[f833,f821,f803,f1546]) ).
fof(f803,plain,
( spl30_88
<=> ! [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,[spl30_88])]) ).
fof(f833,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl30_88
| ~ spl30_91 ),
inference(resolution,[],[f822,f804]) ).
fof(f804,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl30_88 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f1544,plain,
( spl30_193
| ~ spl30_62
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f831,f817,f666,f1542]) ).
fof(f1542,plain,
( spl30_193
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_relat_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_193])]) ).
fof(f666,plain,
( spl30_62
<=> ! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_62])]) ).
fof(f831,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_relat_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl30_62
| ~ spl30_90 ),
inference(resolution,[],[f818,f667]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_relat_1(X1)
| ~ v1_fraenkel(X0) )
| ~ spl30_62 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1540,plain,
( spl30_192
| ~ spl30_64
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f830,f817,f675,f1538]) ).
fof(f1538,plain,
( spl30_192
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_funct_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_192])]) ).
fof(f830,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_funct_1(sK6(X0))
| ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl30_64
| ~ spl30_90 ),
inference(resolution,[],[f818,f676]) ).
fof(f1533,plain,
( spl30_191
| ~ spl30_73
| ~ spl30_78 ),
inference(avatar_split_clause,[],[f769,f743,f711,f1531]) ).
fof(f711,plain,
( spl30_73
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_73])]) ).
fof(f769,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl30_73
| ~ spl30_78 ),
inference(resolution,[],[f744,f712]) ).
fof(f712,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl30_73 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f1524,plain,
( spl30_190
| ~ spl30_25
| ~ spl30_24
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f877,f842,f480,f485,f1521]) ).
fof(f1521,plain,
( spl30_190
<=> sK25 = g1_group_1(u1_struct_0(sK25),u1_group_1(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_190])]) ).
fof(f485,plain,
( spl30_25
<=> v1_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_25])]) ).
fof(f480,plain,
( spl30_24
<=> l1_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_24])]) ).
fof(f842,plain,
( spl30_93
<=> ! [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,[spl30_93])]) ).
fof(f877,plain,
( ~ v1_group_1(sK25)
| sK25 = g1_group_1(u1_struct_0(sK25),u1_group_1(sK25))
| ~ spl30_24
| ~ spl30_93 ),
inference(resolution,[],[f843,f482]) ).
fof(f482,plain,
( l1_group_1(sK25)
| ~ spl30_24 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f843,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 )
| ~ spl30_93 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1515,plain,
( spl30_189
| ~ spl30_21
| ~ spl30_19
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f876,f842,f455,f465,f1512]) ).
fof(f1512,plain,
( spl30_189
<=> sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_189])]) ).
fof(f465,plain,
( spl30_21
<=> v1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_21])]) ).
fof(f455,plain,
( spl30_19
<=> l1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_19])]) ).
fof(f876,plain,
( ~ v1_group_1(sK24)
| sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24))
| ~ spl30_19
| ~ spl30_93 ),
inference(resolution,[],[f843,f457]) ).
fof(f457,plain,
( l1_group_1(sK24)
| ~ spl30_19 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f1498,plain,
( spl30_188
| ~ spl30_164
| ~ spl30_184 ),
inference(avatar_split_clause,[],[f1470,f1438,f1274,f1495]) ).
fof(f1495,plain,
( spl30_188
<=> v1_relat_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_188])]) ).
fof(f1470,plain,
( v1_relat_1(sK5)
| ~ spl30_164
| ~ spl30_184 ),
inference(resolution,[],[f1440,f1275]) ).
fof(f1458,plain,
( spl30_187
| ~ spl30_49
| ~ spl30_146
| ~ spl30_148
| ~ spl30_186 ),
inference(avatar_split_clause,[],[f1453,f1449,f1193,f1183,f605,f1455]) ).
fof(f605,plain,
( spl30_49
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_49])]) ).
fof(f1193,plain,
( spl30_148
<=> k1_xboole_0 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_148])]) ).
fof(f1453,plain,
( m2_relset_1(k2_funct_1(sK5),sK20,sK20)
| ~ spl30_49
| ~ spl30_146
| ~ spl30_148
| ~ spl30_186 ),
inference(forward_demodulation,[],[f1451,f1424]) ).
fof(f1424,plain,
( u1_struct_0(sK4) = sK20
| ~ spl30_49
| ~ spl30_146
| ~ spl30_148 ),
inference(forward_demodulation,[],[f1380,f1195]) ).
fof(f1195,plain,
( k1_xboole_0 = sK20
| ~ spl30_148 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1380,plain,
( k1_xboole_0 = u1_struct_0(sK4)
| ~ spl30_49
| ~ spl30_146 ),
inference(resolution,[],[f1185,f606]) ).
fof(f606,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl30_49 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f1452,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_186
| ~ spl30_6
| ~ spl30_134 ),
inference(avatar_split_clause,[],[f1112,f1098,f390,f1449,f385,f380,f375,f370,f365]) ).
fof(f1112,plain,
( m2_relset_1(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_6
| ~ spl30_134 ),
inference(resolution,[],[f1099,f392]) ).
fof(f1447,plain,
( ~ spl30_185
| ~ spl30_49
| ~ spl30_146
| ~ spl30_148
| spl30_184 ),
inference(avatar_split_clause,[],[f1442,f1438,f1193,f1183,f605,f1444]) ).
fof(f1444,plain,
( spl30_185
<=> m2_relset_1(sK5,sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_185])]) ).
fof(f1442,plain,
( ~ m2_relset_1(sK5,sK20,sK20)
| ~ spl30_49
| ~ spl30_146
| ~ spl30_148
| spl30_184 ),
inference(forward_demodulation,[],[f1439,f1424]) ).
fof(f1439,plain,
( ~ m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| spl30_184 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f1441,plain,
( spl30_146
| ~ spl30_147
| spl30_184
| ~ spl30_6
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f984,f975,f390,f1438,f1187,f1183]) ).
fof(f984,plain,
( m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_6
| ~ spl30_116 ),
inference(resolution,[],[f976,f392]) ).
fof(f1436,plain,
( ~ spl30_183
| ~ spl30_59
| ~ spl30_147 ),
inference(avatar_split_clause,[],[f1365,f1187,f651,f1433]) ).
fof(f1365,plain,
( ~ v1_xboole_0(k1_autgroup(sK4))
| ~ spl30_59
| ~ spl30_147 ),
inference(resolution,[],[f1188,f652]) ).
fof(f1423,plain,
( spl30_146
| ~ spl30_147
| spl30_182
| ~ spl30_6
| ~ spl30_115 ),
inference(avatar_split_clause,[],[f978,f971,f390,f1420,f1187,f1183]) ).
fof(f978,plain,
( v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_6
| ~ spl30_115 ),
inference(resolution,[],[f972,f392]) ).
fof(f1418,plain,
( spl30_146
| ~ spl30_147
| ~ spl30_181
| spl30_38
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f957,f945,f550,f1415,f1187,f1183]) ).
fof(f550,plain,
( spl30_38
<=> m2_fraenkel(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_38])]) ).
fof(f957,plain,
( ~ m1_subset_1(k2_funct_1(sK5),k1_autgroup(sK4))
| ~ m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| spl30_38
| ~ spl30_113 ),
inference(resolution,[],[f946,f552]) ).
fof(f552,plain,
( ~ m2_fraenkel(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
| spl30_38 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f1407,plain,
( spl30_180
| ~ spl30_146
| ~ spl30_156
| ~ spl30_178 ),
inference(avatar_split_clause,[],[f1397,f1393,f1237,f1183,f1404]) ).
fof(f1404,plain,
( spl30_180
<=> v1_funct_2(k2_funct_1(sK5),sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_180])]) ).
fof(f1237,plain,
( spl30_156
<=> ! [X0] :
( sK20 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_156])]) ).
fof(f1397,plain,
( v1_funct_2(k2_funct_1(sK5),sK20,sK20)
| ~ spl30_146
| ~ spl30_156
| ~ spl30_178 ),
inference(forward_demodulation,[],[f1395,f1377]) ).
fof(f1377,plain,
( u1_struct_0(sK4) = sK20
| ~ spl30_146
| ~ spl30_156 ),
inference(resolution,[],[f1185,f1238]) ).
fof(f1238,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK20 = X0 )
| ~ spl30_156 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1402,plain,
( spl30_179
| ~ spl30_60
| ~ spl30_147 ),
inference(avatar_split_clause,[],[f1364,f1187,f655,f1399]) ).
fof(f1399,plain,
( spl30_179
<=> v1_fraenkel(k1_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_179])]) ).
fof(f1364,plain,
( v1_fraenkel(k1_autgroup(sK4))
| ~ spl30_60
| ~ spl30_147 ),
inference(resolution,[],[f1188,f656]) ).
fof(f1396,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_178
| ~ spl30_6
| ~ spl30_133 ),
inference(avatar_split_clause,[],[f1103,f1094,f390,f1393,f385,f380,f375,f370,f365]) ).
fof(f1103,plain,
( v1_funct_2(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_6
| ~ spl30_133 ),
inference(resolution,[],[f1095,f392]) ).
fof(f1391,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_177
| ~ spl30_6
| ~ spl30_129 ),
inference(avatar_split_clause,[],[f1075,f1072,f390,f1388,f385,f380,f375,f370,f365]) ).
fof(f1075,plain,
( v1_group_6(k2_funct_1(sK5),sK4,sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_6
| ~ spl30_129 ),
inference(resolution,[],[f1073,f392]) ).
fof(f1375,plain,
( spl30_146
| ~ spl30_147
| spl30_176
| ~ spl30_6
| ~ spl30_112 ),
inference(avatar_split_clause,[],[f955,f941,f390,f1372,f1187,f1183]) ).
fof(f955,plain,
( m1_subset_1(sK5,k1_autgroup(sK4))
| ~ m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_6
| ~ spl30_112 ),
inference(resolution,[],[f942,f392]) ).
fof(f1370,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| spl30_175
| ~ spl30_6
| ~ spl30_126 ),
inference(avatar_split_clause,[],[f1063,f1052,f390,f1367,f385,f380,f375,f370,f365]) ).
fof(f1063,plain,
( v1_funct_1(k2_funct_1(sK5))
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_6
| ~ spl30_126 ),
inference(resolution,[],[f1053,f392]) ).
fof(f1362,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_121
| spl30_147 ),
inference(avatar_split_clause,[],[f1191,f1187,f1024,f385,f380,f375,f370,f365]) ).
fof(f1191,plain,
( ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl30_121
| spl30_147 ),
inference(resolution,[],[f1189,f1025]) ).
fof(f1189,plain,
( ~ m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| spl30_147 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1361,plain,
( spl30_174
| ~ spl30_18
| ~ spl30_16
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f875,f842,f440,f450,f1358]) ).
fof(f1358,plain,
( spl30_174
<=> sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_174])]) ).
fof(f450,plain,
( spl30_18
<=> v1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_18])]) ).
fof(f440,plain,
( spl30_16
<=> l1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_16])]) ).
fof(f875,plain,
( ~ v1_group_1(sK23)
| sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23))
| ~ spl30_16
| ~ spl30_93 ),
inference(resolution,[],[f843,f442]) ).
fof(f442,plain,
( l1_group_1(sK23)
| ~ spl30_16 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f1356,plain,
( spl30_172
| ~ spl30_173
| ~ spl30_10
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f874,f842,f410,f1353,f1349]) ).
fof(f1349,plain,
( spl30_172
<=> sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_172])]) ).
fof(f1353,plain,
( spl30_173
<=> v1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_173])]) ).
fof(f410,plain,
( spl30_10
<=> l1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_10])]) ).
fof(f874,plain,
( ~ v1_group_1(sK19)
| sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19))
| ~ spl30_10
| ~ spl30_93 ),
inference(resolution,[],[f843,f412]) ).
fof(f412,plain,
( l1_group_1(sK19)
| ~ spl30_10 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f1347,plain,
( spl30_171
| ~ spl30_73
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f838,f825,f711,f1345]) ).
fof(f1345,plain,
( spl30_171
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_171])]) ).
fof(f838,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl30_73
| ~ spl30_92 ),
inference(resolution,[],[f826,f712]) ).
fof(f1339,plain,
( spl30_170
| ~ spl30_42
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f837,f825,f567,f1337]) ).
fof(f837,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK9(k1_zfmisc_1(X1))) )
| ~ spl30_42
| ~ spl30_92 ),
inference(resolution,[],[f826,f568]) ).
fof(f1335,plain,
( spl30_169
| ~ spl30_73
| ~ spl30_88 ),
inference(avatar_split_clause,[],[f815,f803,f711,f1333]) ).
fof(f1333,plain,
( spl30_169
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_169])]) ).
fof(f815,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl30_73
| ~ spl30_88 ),
inference(resolution,[],[f804,f712]) ).
fof(f1331,plain,
( spl30_168
| ~ spl30_62
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f731,f711,f666,f1329]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_62
| ~ spl30_73 ),
inference(resolution,[],[f712,f667]) ).
fof(f1327,plain,
( spl30_167
| ~ spl30_64
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f730,f711,f675,f1325]) ).
fof(f730,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) )
| ~ spl30_64
| ~ spl30_73 ),
inference(resolution,[],[f712,f676]) ).
fof(f1321,plain,
( spl30_166
| ~ spl30_42
| ~ spl30_88 ),
inference(avatar_split_clause,[],[f814,f803,f567,f1319]) ).
fof(f814,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK9(k1_zfmisc_1(X0))) )
| ~ spl30_42
| ~ spl30_88 ),
inference(resolution,[],[f804,f568]) ).
fof(f1317,plain,
( spl30_165
| ~ spl30_73
| ~ spl30_79 ),
inference(avatar_split_clause,[],[f777,f747,f711,f1315]) ).
fof(f747,plain,
( spl30_79
<=> ! [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,[spl30_79])]) ).
fof(f777,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl30_73
| ~ spl30_79 ),
inference(resolution,[],[f748,f712]) ).
fof(f748,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl30_79 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1276,plain,
( spl30_164
| ~ spl30_79
| ~ spl30_91 ),
inference(avatar_split_clause,[],[f832,f821,f747,f1274]) ).
fof(f832,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl30_79
| ~ spl30_91 ),
inference(resolution,[],[f822,f748]) ).
fof(f1272,plain,
( spl30_163
| ~ spl30_57
| ~ spl30_81 ),
inference(avatar_split_clause,[],[f781,f755,f643,f1270]) ).
fof(f781,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl30_57
| ~ spl30_81 ),
inference(resolution,[],[f756,f644]) ).
fof(f1268,plain,
( spl30_162
| ~ spl30_56
| ~ spl30_81 ),
inference(avatar_split_clause,[],[f780,f755,f639,f1266]) ).
fof(f639,plain,
( spl30_56
<=> ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_56])]) ).
fof(f780,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl30_56
| ~ spl30_81 ),
inference(resolution,[],[f756,f640]) ).
fof(f640,plain,
( ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1)
| ~ spl30_56 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f1264,plain,
( spl30_161
| ~ spl30_54
| ~ spl30_81 ),
inference(avatar_split_clause,[],[f779,f755,f631,f1262]) ).
fof(f631,plain,
( spl30_54
<=> ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_54])]) ).
fof(f779,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl30_54
| ~ spl30_81 ),
inference(resolution,[],[f756,f632]) ).
fof(f632,plain,
( ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1)
| ~ spl30_54 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1260,plain,
( spl30_160
| ~ spl30_55
| ~ spl30_80 ),
inference(avatar_split_clause,[],[f778,f751,f635,f1258]) ).
fof(f1258,plain,
( spl30_160
<=> ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_160])]) ).
fof(f778,plain,
( ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1)
| ~ spl30_55
| ~ spl30_80 ),
inference(resolution,[],[f752,f636]) ).
fof(f1256,plain,
( spl30_159
| ~ spl30_42
| ~ spl30_79 ),
inference(avatar_split_clause,[],[f776,f747,f567,f1254]) ).
fof(f1254,plain,
( spl30_159
<=> ! [X0,X1] : v1_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_159])]) ).
fof(f776,plain,
( ! [X0,X1] : v1_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl30_42
| ~ spl30_79 ),
inference(resolution,[],[f748,f568]) ).
fof(f1252,plain,
( spl30_158
| ~ spl30_36
| ~ spl30_150 ),
inference(avatar_split_clause,[],[f1212,f1203,f540,f1249]) ).
fof(f1249,plain,
( spl30_158
<=> v2_funct_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_158])]) ).
fof(f540,plain,
( spl30_36
<=> v2_funct_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_36])]) ).
fof(f1203,plain,
( spl30_150
<=> sK20 = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_150])]) ).
fof(f1212,plain,
( v2_funct_1(sK20)
| ~ spl30_36
| ~ spl30_150 ),
inference(superposition,[],[f542,f1205]) ).
fof(f1205,plain,
( sK20 = sK29
| ~ spl30_150 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f542,plain,
( v2_funct_1(sK29)
| ~ spl30_36 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f1247,plain,
( spl30_157
| ~ spl30_42
| ~ spl30_78 ),
inference(avatar_split_clause,[],[f768,f743,f567,f1245]) ).
fof(f768,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK9(X0),X0) )
| ~ spl30_42
| ~ spl30_78 ),
inference(resolution,[],[f744,f568]) ).
fof(f1239,plain,
( spl30_156
| ~ spl30_11
| ~ spl30_75 ),
inference(avatar_split_clause,[],[f733,f720,f415,f1237]) ).
fof(f415,plain,
( spl30_11
<=> v1_xboole_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_11])]) ).
fof(f720,plain,
( spl30_75
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_75])]) ).
fof(f733,plain,
( ! [X0] :
( sK20 = X0
| ~ v1_xboole_0(X0) )
| ~ spl30_11
| ~ spl30_75 ),
inference(resolution,[],[f721,f417]) ).
fof(f417,plain,
( v1_xboole_0(sK20)
| ~ spl30_11 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl30_75 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f1235,plain,
( spl30_155
| ~ spl30_42
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f724,f675,f567,f1233]) ).
fof(f1233,plain,
( spl30_155
<=> ! [X0] :
( v1_funct_1(sK9(X0))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_155])]) ).
fof(f724,plain,
( ! [X0] :
( v1_funct_1(sK9(X0))
| ~ v1_fraenkel(X0) )
| ~ spl30_42
| ~ spl30_64 ),
inference(resolution,[],[f676,f568]) ).
fof(f1231,plain,
( spl30_154
| ~ spl30_42
| ~ spl30_62 ),
inference(avatar_split_clause,[],[f723,f666,f567,f1229]) ).
fof(f1229,plain,
( spl30_154
<=> ! [X0] :
( v1_relat_1(sK9(X0))
| ~ v1_fraenkel(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_154])]) ).
fof(f723,plain,
( ! [X0] :
( v1_relat_1(sK9(X0))
| ~ v1_fraenkel(X0) )
| ~ spl30_42
| ~ spl30_62 ),
inference(resolution,[],[f667,f568]) ).
fof(f1227,plain,
( spl30_153
| ~ spl30_53
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f664,f655,f627,f1225]) ).
fof(f1225,plain,
( spl30_153
<=> ! [X0,X1] : v1_fraenkel(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_153])]) ).
fof(f664,plain,
( ! [X0,X1] : v1_fraenkel(sK11(X0,X1))
| ~ spl30_53
| ~ spl30_60 ),
inference(resolution,[],[f656,f628]) ).
fof(f1223,plain,
( spl30_152
| ~ spl30_26
| ~ spl30_149 ),
inference(avatar_split_clause,[],[f1210,f1198,f490,f1220]) ).
fof(f1220,plain,
( spl30_152
<=> v1_relat_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_152])]) ).
fof(f490,plain,
( spl30_26
<=> v1_relat_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_26])]) ).
fof(f1198,plain,
( spl30_149
<=> sK20 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_149])]) ).
fof(f1210,plain,
( v1_relat_1(sK20)
| ~ spl30_26
| ~ spl30_149 ),
inference(superposition,[],[f492,f1200]) ).
fof(f1200,plain,
( sK20 = sK26
| ~ spl30_149 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f492,plain,
( v1_relat_1(sK26)
| ~ spl30_26 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f1218,plain,
( spl30_151
| ~ spl30_53
| ~ spl30_59 ),
inference(avatar_split_clause,[],[f663,f651,f627,f1216]) ).
fof(f1216,plain,
( spl30_151
<=> ! [X0,X1] : ~ v1_xboole_0(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_151])]) ).
fof(f663,plain,
( ! [X0,X1] : ~ v1_xboole_0(sK11(X0,X1))
| ~ spl30_53
| ~ spl30_59 ),
inference(resolution,[],[f652,f628]) ).
fof(f1206,plain,
( spl30_150
| ~ spl30_11
| ~ spl30_37
| ~ spl30_49 ),
inference(avatar_split_clause,[],[f617,f605,f545,f415,f1203]) ).
fof(f545,plain,
( spl30_37
<=> v1_xboole_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_37])]) ).
fof(f617,plain,
( sK20 = sK29
| ~ spl30_11
| ~ spl30_37
| ~ spl30_49 ),
inference(forward_demodulation,[],[f615,f613]) ).
fof(f613,plain,
( k1_xboole_0 = sK20
| ~ spl30_11
| ~ spl30_49 ),
inference(resolution,[],[f606,f417]) ).
fof(f615,plain,
( k1_xboole_0 = sK29
| ~ spl30_37
| ~ spl30_49 ),
inference(resolution,[],[f606,f547]) ).
fof(f547,plain,
( v1_xboole_0(sK29)
| ~ spl30_37 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1201,plain,
( spl30_149
| ~ spl30_11
| ~ spl30_27
| ~ spl30_49 ),
inference(avatar_split_clause,[],[f616,f605,f495,f415,f1198]) ).
fof(f495,plain,
( spl30_27
<=> v1_xboole_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_27])]) ).
fof(f616,plain,
( sK20 = sK26
| ~ spl30_11
| ~ spl30_27
| ~ spl30_49 ),
inference(forward_demodulation,[],[f614,f613]) ).
fof(f614,plain,
( k1_xboole_0 = sK26
| ~ spl30_27
| ~ spl30_49 ),
inference(resolution,[],[f606,f497]) ).
fof(f497,plain,
( v1_xboole_0(sK26)
| ~ spl30_27 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1196,plain,
( spl30_148
| ~ spl30_11
| ~ spl30_49 ),
inference(avatar_split_clause,[],[f613,f605,f415,f1193]) ).
fof(f1190,plain,
( spl30_146
| ~ spl30_147
| spl30_109
| ~ spl30_6
| ~ spl30_107 ),
inference(avatar_split_clause,[],[f930,f913,f390,f926,f1187,f1183]) ).
fof(f930,plain,
( v1_funct_1(sK5)
| ~ m1_fraenkel(k1_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl30_6
| ~ spl30_107 ),
inference(resolution,[],[f914,f392]) ).
fof(f1181,plain,
spl30_145,
inference(avatar_split_clause,[],[f361,f1179]) ).
fof(f361,plain,
! [X2,X0,X1] :
( v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_funct_1(X2))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(equality_resolution,[],[f239]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( v4_group_6(X3,X0,X1)
| k2_funct_1(X2) != X3
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| k2_funct_1(X2) != X3
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| k2_funct_1(X2) != X3
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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,[],[f68]) ).
fof(f68,axiom,
! [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(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( ( k2_funct_1(X2) = X3
& v4_group_6(X2,X1,X0) )
=> v4_group_6(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_group_6) ).
fof(f1174,plain,
spl30_144,
inference(avatar_split_clause,[],[f238,f1172]) ).
fof(f238,plain,
! [X2,X0,X1] :
( v4_group_6(X2,X0,X1)
| ~ v2_group_6(X2,X0,X1)
| ~ v3_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_group_6(X2,X0,X1)
| ~ v2_group_6(X2,X0,X1)
| ~ v3_group_6(X2,X0,X1) )
& ( ( v2_group_6(X2,X0,X1)
& v3_group_6(X2,X0,X1) )
| ~ v4_group_6(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_group_6(X2,X0,X1)
| ~ v2_group_6(X2,X0,X1)
| ~ v3_group_6(X2,X0,X1) )
& ( ( v2_group_6(X2,X0,X1)
& v3_group_6(X2,X0,X1) )
| ~ v4_group_6(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_group_6(X2,X0,X1)
<=> ( v2_group_6(X2,X0,X1)
& v3_group_6(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_group_6(X2,X0,X1)
<=> ( v2_group_6(X2,X0,X1)
& v3_group_6(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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,[],[f14]) ).
fof(f14,axiom,
! [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_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v4_group_6(X2,X0,X1)
<=> ( v2_group_6(X2,X0,X1)
& v3_group_6(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_group_6) ).
fof(f1164,plain,
spl30_143,
inference(avatar_split_clause,[],[f237,f1162]) ).
fof(f237,plain,
! [X2,X0,X1] :
( v2_group_6(X2,X0,X1)
| ~ v4_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(cnf_transformation,[],[f153]) ).
fof(f1160,plain,
spl30_142,
inference(avatar_split_clause,[],[f236,f1158]) ).
fof(f236,plain,
! [X2,X0,X1] :
( v3_group_6(X2,X0,X1)
| ~ v4_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(cnf_transformation,[],[f153]) ).
fof(f1150,plain,
spl30_141,
inference(avatar_split_clause,[],[f235,f1148]) ).
fof(f235,plain,
! [X2,X0,X1] :
( v2_group_6(X2,X0,X1)
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v2_group_6(X2,X0,X1)
| ~ v2_funct_1(X2) )
& ( v2_funct_1(X2)
| ~ v2_group_6(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v2_group_6(X2,X0,X1)
<=> v2_funct_1(X2) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v2_group_6(X2,X0,X1)
<=> v2_funct_1(X2) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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,[],[f13]) ).
fof(f13,axiom,
! [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_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v2_group_6(X2,X0,X1)
<=> v2_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_group_6) ).
fof(f1142,plain,
spl30_140,
inference(avatar_split_clause,[],[f234,f1140]) ).
fof(f234,plain,
! [X2,X0,X1] :
( v2_funct_1(X2)
| ~ v2_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,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(cnf_transformation,[],[f151]) ).
fof(f1134,plain,
spl30_139,
inference(avatar_split_clause,[],[f270,f1132]) ).
fof(f270,plain,
! [X0,X1] :
( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ( ( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0) )
& ( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0)) ) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X1) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f1130,plain,
spl30_138,
inference(avatar_split_clause,[],[f269,f1128]) ).
fof(f269,plain,
! [X0,X1] :
( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f1126,plain,
spl30_137,
inference(avatar_split_clause,[],[f249,f1124]) ).
fof(f1124,plain,
( spl30_137
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK7(X0,X1),X0,X0)
| ~ v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK7(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_137])]) ).
fof(f249,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK7(X0,X1),X0,X0)
| ~ v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK7(X0,X1)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK7(X0,X1),X0,X0)
| ~ v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK7(X0,X1)) )
& m2_fraenkel(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f157,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
=> ( ( ~ m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK7(X0,X1),X0,X0)
| ~ v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK7(X0,X1)) )
& m2_fraenkel(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1119,plain,
spl30_136,
inference(avatar_split_clause,[],[f264,f1117]) ).
fof(f264,plain,
! [X0,X1] :
( k1_autgroup(X0) = X1
| ~ sP1(X1,X0)
| ~ sP2(X0,X1)
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP1(X1,X0)
| ~ sP2(X0,X1) )
& ( ( sP1(X1,X0)
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP1(X1,X0)
| ~ sP2(X0,X1) )
& ( ( sP1(X1,X0)
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( sP1(X1,X0)
& sP2(X0,X1) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f100,f144,f143,f142]) ).
fof(f142,plain,
! [X0,X2,X1] :
( sP0(X0,X2,X1)
<=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f143,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ! [X2] :
( sP0(X0,X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) )
& ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) ) ) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) )
& ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f1111,plain,
( spl30_135
| ~ spl30_2
| ~ spl30_5
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f873,f842,f385,f370,f1108]) ).
fof(f873,plain,
( ~ v1_group_1(sK4)
| sK4 = g1_group_1(u1_struct_0(sK4),u1_group_1(sK4))
| ~ spl30_5
| ~ spl30_93 ),
inference(resolution,[],[f843,f387]) ).
fof(f387,plain,
( l1_group_1(sK4)
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f1100,plain,
spl30_134,
inference(avatar_split_clause,[],[f268,f1098]) ).
fof(f268,plain,
! [X0,X1] :
( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f1096,plain,
spl30_133,
inference(avatar_split_clause,[],[f266,f1094]) ).
fof(f266,plain,
! [X0,X1] :
( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1092,plain,
spl30_132,
inference(avatar_split_clause,[],[f250,f1090]) ).
fof(f250,plain,
! [X3,X0,X1] :
( sP0(X1,X3,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X3,X1,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ sP0(X1,sK8(X0,X1),X0)
& m2_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(sK8(X0,X1),X1,X1)
& v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(sK8(X0,X1)) ) )
& ( ! [X3] :
( sP0(X1,X3,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X3,X1,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f161,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2] :
( ~ sP0(X1,X2,X0)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ~ sP0(X1,sK8(X0,X1),X0)
& m2_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(sK8(X0,X1),X1,X1)
& v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ sP0(X1,X2,X0)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) ) )
& ( ! [X3] :
( sP0(X1,X3,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X3,X1,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ~ sP0(X0,X2,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) ) )
& ( ! [X2] :
( sP0(X0,X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f1086,plain,
spl30_131,
inference(avatar_split_clause,[],[f301,f1084]) ).
fof(f301,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,[],[f124]) ).
fof(f124,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,[],[f123]) ).
fof(f123,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,[],[f41]) ).
fof(f41,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(f1082,plain,
spl30_130,
inference(avatar_split_clause,[],[f300,f1080]) ).
fof(f300,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,[],[f124]) ).
fof(f1074,plain,
spl30_129,
inference(avatar_split_clause,[],[f267,f1072]) ).
fof(f267,plain,
! [X0,X1] :
( v1_group_6(k2_funct_1(X1),X0,X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1062,plain,
spl30_128,
inference(avatar_split_clause,[],[f363,f1060]) ).
fof(f363,plain,
! [X0] :
( sP2(X0,k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f262]) ).
fof(f262,plain,
! [X0,X1] :
( sP2(X0,X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1058,plain,
spl30_127,
inference(avatar_split_clause,[],[f362,f1056]) ).
fof(f362,plain,
! [X0] :
( sP1(k1_autgroup(X0),X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( sP1(X1,X0)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1054,plain,
spl30_126,
inference(avatar_split_clause,[],[f265,f1052]) ).
fof(f265,plain,
! [X0,X1] :
( v1_funct_1(k2_funct_1(X1))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1048,plain,
spl30_125,
inference(avatar_split_clause,[],[f288,f1046]) ).
fof(f288,plain,
! [X0,X1] :
( ~ v3_struct_0(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)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(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)
| v1_xboole_0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(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)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,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)
& ~ v1_xboole_0(X0) )
=> ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_1) ).
fof(f1044,plain,
spl30_124,
inference(avatar_split_clause,[],[f297,f1042]) ).
fof(f1042,plain,
( spl30_124
<=> ! [X0,X1] :
( sP3(X1,X0)
| ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_124])]) ).
fof(f297,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ 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(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ 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(definition_folding,[],[f120,f146]) ).
fof(f146,plain,
! [X1,X0] :
( ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(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)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(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)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ 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,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(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)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ 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,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( ( 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) )
=> ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(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)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_group_6) ).
fof(f1036,plain,
spl30_123,
inference(avatar_split_clause,[],[f299,f1034]) ).
fof(f299,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,[],[f122]) ).
fof(f122,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,[],[f121]) ).
fof(f121,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,[],[f16]) ).
fof(f16,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(f1032,plain,
spl30_122,
inference(avatar_split_clause,[],[f298,f1030]) ).
fof(f298,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,[],[f122]) ).
fof(f1026,plain,
spl30_121,
inference(avatar_split_clause,[],[f243,f1024]) ).
fof(f243,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f1005,plain,
spl30_120,
inference(avatar_split_clause,[],[f285,f1003]) ).
fof(f285,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,[],[f116]) ).
fof(f116,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,[],[f115]) ).
fof(f115,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,[],[f12]) ).
fof(f12,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(f1001,plain,
spl30_119,
inference(avatar_split_clause,[],[f279,f999]) ).
fof(f279,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,[],[f110]) ).
fof(f110,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,[],[f109]) ).
fof(f109,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,[],[f11]) ).
fof(f11,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(f997,plain,
spl30_118,
inference(avatar_split_clause,[],[f247,f995]) ).
fof(f995,plain,
( spl30_118
<=> ! [X0,X1,X3] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_118])]) ).
fof(f247,plain,
! [X3,X0,X1] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f993,plain,
spl30_117,
inference(avatar_split_clause,[],[f245,f991]) ).
fof(f991,plain,
( spl30_117
<=> ! [X0,X1,X3] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_117])]) ).
fof(f245,plain,
! [X3,X0,X1] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f977,plain,
spl30_116,
inference(avatar_split_clause,[],[f323,f975]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f973,plain,
spl30_115,
inference(avatar_split_clause,[],[f322,f971]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f951,plain,
spl30_114,
inference(avatar_split_clause,[],[f326,f949]) ).
fof(f326,plain,
! [X2,X0,X1] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f138,f187]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
=> m2_fraenkel(sK16(X0,X1,X2),X0,X1,X2) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ? [X3] : m2_fraenkel(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_fraenkel) ).
fof(f947,plain,
spl30_113,
inference(avatar_split_clause,[],[f325,f945]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f943,plain,
spl30_112,
inference(avatar_split_clause,[],[f324,f941]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f939,plain,
spl30_111,
inference(avatar_split_clause,[],[f318,f937]) ).
fof(f937,plain,
( spl30_111
<=> ! [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,[spl30_111])]) ).
fof(f318,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,[],[f130]) ).
fof(f130,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,[],[f129]) ).
fof(f129,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,[],[f7]) ).
fof(f7,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(f935,plain,
spl30_110,
inference(avatar_split_clause,[],[f246,f933]) ).
fof(f246,plain,
! [X3,X0,X1] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f929,plain,
( ~ spl30_108
| spl30_109
| ~ spl30_6
| ~ spl30_103 ),
inference(avatar_split_clause,[],[f902,f894,f390,f926,f922]) ).
fof(f894,plain,
( spl30_103
<=> ! [X0,X1,X3] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_103])]) ).
fof(f902,plain,
( v1_funct_1(sK5)
| ~ sP2(sK4,k1_autgroup(sK4))
| ~ spl30_6
| ~ spl30_103 ),
inference(resolution,[],[f895,f392]) ).
fof(f895,plain,
( ! [X3,X0,X1] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| v1_funct_1(X3)
| ~ sP2(X0,X1) )
| ~ spl30_103 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f915,plain,
spl30_107,
inference(avatar_split_clause,[],[f321,f913]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f911,plain,
spl30_106,
inference(avatar_split_clause,[],[f261,f909]) ).
fof(f261,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ v3_group_6(X1,X0,X0)
| ~ v2_funct_1(X1)
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ v3_group_6(X1,X0,X0)
| ~ v2_funct_1(X1)
| ~ r2_hidden(X1,X2) )
& ( ( v3_group_6(X1,X0,X0)
& v2_funct_1(X1) )
| r2_hidden(X1,X2) ) ) )
& ( ( ( r2_hidden(X1,X2)
| ~ v3_group_6(X1,X0,X0)
| ~ v2_funct_1(X1) )
& ( ( v3_group_6(X1,X0,X0)
& v2_funct_1(X1) )
| ~ r2_hidden(X1,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ( ( ~ v3_group_6(X2,X0,X0)
| ~ v2_funct_1(X2)
| ~ r2_hidden(X2,X1) )
& ( ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) )
| r2_hidden(X2,X1) ) ) )
& ( ( ( r2_hidden(X2,X1)
| ~ v3_group_6(X2,X0,X0)
| ~ v2_funct_1(X2) )
& ( ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) )
| ~ r2_hidden(X2,X1) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ( ( ~ v3_group_6(X2,X0,X0)
| ~ v2_funct_1(X2)
| ~ r2_hidden(X2,X1) )
& ( ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) )
| r2_hidden(X2,X1) ) ) )
& ( ( ( r2_hidden(X2,X1)
| ~ v3_group_6(X2,X0,X0)
| ~ v2_funct_1(X2) )
& ( ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) )
| ~ r2_hidden(X2,X1) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f907,plain,
spl30_105,
inference(avatar_split_clause,[],[f258,f905]) ).
fof(f905,plain,
( spl30_105
<=> ! [X2,X0,X1] :
( r2_hidden(X1,X2)
| ~ v3_group_6(X1,X0,X0)
| ~ v2_funct_1(X1)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_105])]) ).
fof(f258,plain,
! [X2,X0,X1] :
( r2_hidden(X1,X2)
| ~ v3_group_6(X1,X0,X0)
| ~ v2_funct_1(X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f900,plain,
spl30_104,
inference(avatar_split_clause,[],[f248,f898]) ).
fof(f248,plain,
! [X0,X1] :
( sP2(X0,X1)
| m2_fraenkel(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f896,plain,
spl30_103,
inference(avatar_split_clause,[],[f244,f894]) ).
fof(f244,plain,
! [X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f892,plain,
spl30_102,
inference(avatar_split_clause,[],[f229,f890]) ).
fof(f229,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,[],[f80]) ).
fof(f80,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,[],[f29]) ).
fof(f29,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(f888,plain,
spl30_101,
inference(avatar_split_clause,[],[f228,f886]) ).
fof(f228,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,[],[f80]) ).
fof(f872,plain,
spl30_100,
inference(avatar_split_clause,[],[f295,f870]) ).
fof(f870,plain,
( spl30_100
<=> ! [X0,X1] :
( v1_partfun1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_100])]) ).
fof(f295,plain,
! [X0,X1] :
( v1_partfun1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( v1_group_6(sK10(X0,X1),X1,X0)
& v1_partfun1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK10(X0,X1))
& v1_relat_1(sK10(X0,X1))
& ~ v1_xboole_0(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X2] :
( v1_group_6(X2,X1,X0)
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v1_group_6(sK10(X0,X1),X1,X0)
& v1_partfun1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK10(X0,X1))
& v1_relat_1(sK10(X0,X1))
& ~ v1_xboole_0(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X2] :
( v1_group_6(X2,X1,X0)
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X1,X0] :
( ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(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)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f868,plain,
spl30_99,
inference(avatar_split_clause,[],[f294,f866]) ).
fof(f866,plain,
( spl30_99
<=> ! [X0,X1] :
( v1_funct_2(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_99])]) ).
fof(f294,plain,
! [X0,X1] :
( v1_funct_2(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f864,plain,
spl30_98,
inference(avatar_split_clause,[],[f290,f862]) ).
fof(f290,plain,
! [X0,X1] :
( m1_relset_1(sK10(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f860,plain,
spl30_97,
inference(avatar_split_clause,[],[f260,f858]) ).
fof(f260,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v3_group_6(X1,X0,X0)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f856,plain,
spl30_96,
inference(avatar_split_clause,[],[f257,f854]) ).
fof(f854,plain,
( spl30_96
<=> ! [X2,X0,X1] :
( v3_group_6(X1,X0,X0)
| ~ r2_hidden(X1,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_96])]) ).
fof(f257,plain,
! [X2,X0,X1] :
( v3_group_6(X1,X0,X0)
| ~ r2_hidden(X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f852,plain,
spl30_95,
inference(avatar_split_clause,[],[f254,f850]) ).
fof(f254,plain,
! [X0,X1] :
( sP1(X0,X1)
| m2_relset_1(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f848,plain,
spl30_94,
inference(avatar_split_clause,[],[f252,f846]) ).
fof(f252,plain,
! [X0,X1] :
( sP1(X0,X1)
| v1_funct_2(sK8(X0,X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f844,plain,
spl30_93,
inference(avatar_split_clause,[],[f230,f842]) ).
fof(f230,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,[],[f82]) ).
fof(f82,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,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(f827,plain,
spl30_92,
inference(avatar_split_clause,[],[f327,f825]) ).
fof(f327,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,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(f823,plain,
spl30_91,
inference(avatar_split_clause,[],[f319,f821]) ).
fof(f319,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,[],[f131]) ).
fof(f131,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,[],[f28]) ).
fof(f28,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(f819,plain,
spl30_90,
inference(avatar_split_clause,[],[f241,f817]) ).
fof(f241,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f96,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f96,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,[],[f95]) ).
fof(f95,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,[],[f56]) ).
fof(f56,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(f810,plain,
( spl30_89
| ~ spl30_11
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f592,f563,f415,f807]) ).
fof(f807,plain,
( spl30_89
<=> v1_funct_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_89])]) ).
fof(f563,plain,
( spl30_41
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_41])]) ).
fof(f592,plain,
( v1_funct_1(sK20)
| ~ spl30_11
| ~ spl30_41 ),
inference(resolution,[],[f564,f417]) ).
fof(f564,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl30_41 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f805,plain,
spl30_88,
inference(avatar_split_clause,[],[f330,f803]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,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(f801,plain,
spl30_87,
inference(avatar_split_clause,[],[f296,f799]) ).
fof(f799,plain,
( spl30_87
<=> ! [X0,X1] :
( v1_group_6(sK10(X0,X1),X1,X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_87])]) ).
fof(f296,plain,
! [X0,X1] :
( v1_group_6(sK10(X0,X1),X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f797,plain,
spl30_86,
inference(avatar_split_clause,[],[f259,f795]) ).
fof(f259,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| v2_funct_1(X1)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f793,plain,
spl30_85,
inference(avatar_split_clause,[],[f256,f791]) ).
fof(f791,plain,
( spl30_85
<=> ! [X2,X0,X1] :
( v2_funct_1(X1)
| ~ r2_hidden(X1,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_85])]) ).
fof(f256,plain,
! [X2,X0,X1] :
( v2_funct_1(X1)
| ~ r2_hidden(X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f789,plain,
spl30_84,
inference(avatar_split_clause,[],[f255,f787]) ).
fof(f255,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f785,plain,
spl30_83,
inference(avatar_split_clause,[],[f253,f783]) ).
fof(f783,plain,
( spl30_83
<=> ! [X0,X1] :
( sP1(X0,X1)
| v1_group_6(sK8(X0,X1),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_83])]) ).
fof(f253,plain,
! [X0,X1] :
( sP1(X0,X1)
| v1_group_6(sK8(X0,X1),X1,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f774,plain,
( spl30_82
| ~ spl30_7
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f591,f563,f395,f771]) ).
fof(f771,plain,
( spl30_82
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_82])]) ).
fof(f395,plain,
( spl30_7
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_7])]) ).
fof(f591,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl30_7
| ~ spl30_41 ),
inference(resolution,[],[f564,f397]) ).
fof(f397,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f757,plain,
spl30_81,
inference(avatar_split_clause,[],[f329,f755]) ).
fof(f329,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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,[],[f58]) ).
fof(f58,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(f753,plain,
spl30_80,
inference(avatar_split_clause,[],[f328,f751]) ).
fof(f328,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f749,plain,
spl30_79,
inference(avatar_split_clause,[],[f320,f747]) ).
fof(f320,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,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(f745,plain,
spl30_78,
inference(avatar_split_clause,[],[f283,f743]) ).
fof(f283,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,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(f741,plain,
spl30_77,
inference(avatar_split_clause,[],[f273,f739]) ).
fof(f739,plain,
( spl30_77
<=> ! [X0] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_77])]) ).
fof(f273,plain,
! [X0] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(f729,plain,
( spl30_76
| ~ spl30_24
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f590,f559,f480,f726]) ).
fof(f726,plain,
( spl30_76
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_76])]) ).
fof(f559,plain,
( spl30_40
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_40])]) ).
fof(f590,plain,
( l1_struct_0(sK25)
| ~ spl30_24
| ~ spl30_40 ),
inference(resolution,[],[f560,f482]) ).
fof(f560,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl30_40 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f722,plain,
spl30_75,
inference(avatar_split_clause,[],[f303,f720]) ).
fof(f303,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f718,plain,
( spl30_74
| ~ spl30_19
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f589,f559,f455,f715]) ).
fof(f715,plain,
( spl30_74
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_74])]) ).
fof(f589,plain,
( l1_struct_0(sK24)
| ~ spl30_19
| ~ spl30_40 ),
inference(resolution,[],[f560,f457]) ).
fof(f713,plain,
spl30_73,
inference(avatar_split_clause,[],[f302,f711]) ).
fof(f302,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f62]) ).
fof(f62,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(f709,plain,
spl30_72,
inference(avatar_split_clause,[],[f293,f707]) ).
fof(f707,plain,
( spl30_72
<=> ! [X0,X1] :
( v1_funct_1(sK10(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_72])]) ).
fof(f293,plain,
! [X0,X1] :
( v1_funct_1(sK10(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f705,plain,
spl30_71,
inference(avatar_split_clause,[],[f292,f703]) ).
fof(f703,plain,
( spl30_71
<=> ! [X0,X1] :
( v1_relat_1(sK10(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_71])]) ).
fof(f292,plain,
! [X0,X1] :
( v1_relat_1(sK10(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f701,plain,
spl30_70,
inference(avatar_split_clause,[],[f291,f699]) ).
fof(f699,plain,
( spl30_70
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK10(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_70])]) ).
fof(f291,plain,
! [X0,X1] :
( ~ v1_xboole_0(sK10(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f697,plain,
spl30_69,
inference(avatar_split_clause,[],[f275,f695]) ).
fof(f695,plain,
( spl30_69
<=> ! [X0] :
( v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_69])]) ).
fof(f275,plain,
! [X0] :
( v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f693,plain,
spl30_68,
inference(avatar_split_clause,[],[f274,f691]) ).
fof(f691,plain,
( spl30_68
<=> ! [X0] :
( v1_relat_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_68])]) ).
fof(f274,plain,
! [X0] :
( v1_relat_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f689,plain,
spl30_67,
inference(avatar_split_clause,[],[f251,f687]) ).
fof(f687,plain,
( spl30_67
<=> ! [X0,X1] :
( sP1(X0,X1)
| v1_funct_1(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_67])]) ).
fof(f251,plain,
! [X0,X1] :
( sP1(X0,X1)
| v1_funct_1(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f685,plain,
spl30_66,
inference(avatar_split_clause,[],[f242,f683]) ).
fof(f683,plain,
( spl30_66
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_66])]) ).
fof(f242,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f681,plain,
spl30_65,
inference(avatar_split_clause,[],[f240,f679]) ).
fof(f240,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,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(f677,plain,
spl30_64,
inference(avatar_split_clause,[],[f225,f675]) ).
fof(f225,plain,
! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(f673,plain,
( spl30_63
| ~ spl30_16
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f588,f559,f440,f670]) ).
fof(f670,plain,
( spl30_63
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_63])]) ).
fof(f588,plain,
( l1_struct_0(sK23)
| ~ spl30_16
| ~ spl30_40 ),
inference(resolution,[],[f560,f442]) ).
fof(f668,plain,
spl30_62,
inference(avatar_split_clause,[],[f224,f666]) ).
fof(f224,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f662,plain,
( spl30_61
| ~ spl30_10
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f587,f559,f410,f659]) ).
fof(f659,plain,
( spl30_61
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_61])]) ).
fof(f587,plain,
( l1_struct_0(sK19)
| ~ spl30_10
| ~ spl30_40 ),
inference(resolution,[],[f560,f412]) ).
fof(f657,plain,
spl30_60,
inference(avatar_split_clause,[],[f316,f655]) ).
fof(f316,plain,
! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f653,plain,
spl30_59,
inference(avatar_split_clause,[],[f315,f651]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f649,plain,
spl30_58,
inference(avatar_split_clause,[],[f314,f647]) ).
fof(f314,plain,
! [X0,X1] : v1_funct_2(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f185]) ).
fof(f185,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])],[f44,f184]) ).
fof(f184,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(f44,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(f645,plain,
spl30_57,
inference(avatar_split_clause,[],[f311,f643]) ).
fof(f311,plain,
! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f185]) ).
fof(f641,plain,
spl30_56,
inference(avatar_split_clause,[],[f308,f639]) ).
fof(f308,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f183]) ).
fof(f183,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])],[f51,f182]) ).
fof(f182,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(f51,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(f637,plain,
spl30_55,
inference(avatar_split_clause,[],[f307,f635]) ).
fof(f307,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f37,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f633,plain,
spl30_54,
inference(avatar_split_clause,[],[f306,f631]) ).
fof(f306,plain,
! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f34,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f629,plain,
spl30_53,
inference(avatar_split_clause,[],[f305,f627]) ).
fof(f305,plain,
! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] : m1_fraenkel(sK11(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f33,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ? [X2] : m1_fraenkel(X2,X0,X1)
=> m1_fraenkel(sK11(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
! [X0,X1] :
? [X2] : m1_fraenkel(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_fraenkel) ).
fof(f625,plain,
spl30_52,
inference(avatar_split_clause,[],[f282,f623]) ).
fof(f282,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f621,plain,
spl30_51,
inference(avatar_split_clause,[],[f281,f619]) ).
fof(f281,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,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(f611,plain,
spl30_50,
inference(avatar_split_clause,[],[f304,f609]) ).
fof(f304,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f607,plain,
spl30_49,
inference(avatar_split_clause,[],[f233,f605]) ).
fof(f233,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f603,plain,
spl30_48,
inference(avatar_split_clause,[],[f227,f601]) ).
fof(f227,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f599,plain,
( spl30_47
| ~ spl30_5
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f586,f559,f385,f596]) ).
fof(f586,plain,
( l1_struct_0(sK4)
| ~ spl30_5
| ~ spl30_40 ),
inference(resolution,[],[f560,f387]) ).
fof(f585,plain,
spl30_46,
inference(avatar_split_clause,[],[f313,f583]) ).
fof(f583,plain,
( spl30_46
<=> ! [X0,X1] : v1_funct_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_46])]) ).
fof(f313,plain,
! [X0,X1] : v1_funct_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f185]) ).
fof(f581,plain,
spl30_45,
inference(avatar_split_clause,[],[f312,f579]) ).
fof(f579,plain,
( spl30_45
<=> ! [X0,X1] : v1_relat_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_45])]) ).
fof(f312,plain,
! [X0,X1] : v1_relat_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f185]) ).
fof(f577,plain,
spl30_44,
inference(avatar_split_clause,[],[f310,f575]) ).
fof(f575,plain,
( spl30_44
<=> ! [X0,X1] : v1_funct_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_44])]) ).
fof(f310,plain,
! [X0,X1] : v1_funct_1(sK14(X0,X1)),
inference(cnf_transformation,[],[f183]) ).
fof(f573,plain,
spl30_43,
inference(avatar_split_clause,[],[f309,f571]) ).
fof(f571,plain,
( spl30_43
<=> ! [X0,X1] : v1_relat_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_43])]) ).
fof(f309,plain,
! [X0,X1] : v1_relat_1(sK14(X0,X1)),
inference(cnf_transformation,[],[f183]) ).
fof(f569,plain,
spl30_42,
inference(avatar_split_clause,[],[f276,f567]) ).
fof(f276,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f35,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f35,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f565,plain,
spl30_41,
inference(avatar_split_clause,[],[f232,f563]) ).
fof(f232,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f561,plain,
spl30_40,
inference(avatar_split_clause,[],[f226,f559]) ).
fof(f226,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f557,plain,
spl30_39,
inference(avatar_split_clause,[],[f277,f555]) ).
fof(f277,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f553,plain,
~ spl30_38,
inference(avatar_split_clause,[],[f222,f550]) ).
fof(f222,plain,
~ m2_fraenkel(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ~ m2_fraenkel(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
& m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
& l1_group_1(sK4)
& v4_group_1(sK4)
& v3_group_1(sK4)
& v1_group_1(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f77,f149,f148]) ).
fof(f148,plain,
( ? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
& m2_fraenkel(X1,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)) )
& l1_group_1(sK4)
& v4_group_1(sK4)
& v3_group_1(sK4)
& v1_group_1(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
& m2_fraenkel(X1,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)) )
=> ( ~ m2_fraenkel(k2_funct_1(sK5),u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4))
& m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f548,plain,
spl30_37,
inference(avatar_split_clause,[],[f360,f545]) ).
fof(f360,plain,
v1_xboole_0(sK29),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( v1_xboole_0(sK29)
& v2_funct_1(sK29)
& v1_funct_1(sK29)
& v1_relat_1(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f46,f214]) ).
fof(f214,plain,
( ? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_xboole_0(sK29)
& v2_funct_1(sK29)
& v1_funct_1(sK29)
& v1_relat_1(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f46,axiom,
? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_partfun1) ).
fof(f543,plain,
spl30_36,
inference(avatar_split_clause,[],[f359,f540]) ).
fof(f359,plain,
v2_funct_1(sK29),
inference(cnf_transformation,[],[f215]) ).
fof(f538,plain,
spl30_35,
inference(avatar_split_clause,[],[f358,f535]) ).
fof(f535,plain,
( spl30_35
<=> v1_funct_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_35])]) ).
fof(f358,plain,
v1_funct_1(sK29),
inference(cnf_transformation,[],[f215]) ).
fof(f533,plain,
spl30_34,
inference(avatar_split_clause,[],[f357,f530]) ).
fof(f530,plain,
( spl30_34
<=> v1_relat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_34])]) ).
fof(f357,plain,
v1_relat_1(sK29),
inference(cnf_transformation,[],[f215]) ).
fof(f528,plain,
spl30_33,
inference(avatar_split_clause,[],[f356,f525]) ).
fof(f525,plain,
( spl30_33
<=> v2_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_33])]) ).
fof(f356,plain,
v2_funct_1(sK28),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( v2_funct_1(sK28)
& v1_funct_1(sK28)
& v1_relat_1(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f53,f212]) ).
fof(f212,plain,
( ? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(sK28)
& v1_funct_1(sK28)
& v1_relat_1(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f53,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f523,plain,
spl30_32,
inference(avatar_split_clause,[],[f355,f520]) ).
fof(f520,plain,
( spl30_32
<=> v1_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_32])]) ).
fof(f355,plain,
v1_funct_1(sK28),
inference(cnf_transformation,[],[f213]) ).
fof(f518,plain,
spl30_31,
inference(avatar_split_clause,[],[f354,f515]) ).
fof(f515,plain,
( spl30_31
<=> v1_relat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_31])]) ).
fof(f354,plain,
v1_relat_1(sK28),
inference(cnf_transformation,[],[f213]) ).
fof(f513,plain,
spl30_30,
inference(avatar_split_clause,[],[f353,f510]) ).
fof(f510,plain,
( spl30_30
<=> v1_funct_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_30])]) ).
fof(f353,plain,
v1_funct_1(sK27),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( v1_funct_1(sK27)
& v1_relat_1(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f43,f210]) ).
fof(f210,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK27)
& v1_relat_1(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f508,plain,
spl30_29,
inference(avatar_split_clause,[],[f352,f505]) ).
fof(f505,plain,
( spl30_29
<=> v1_relat_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_29])]) ).
fof(f352,plain,
v1_relat_1(sK27),
inference(cnf_transformation,[],[f211]) ).
fof(f503,plain,
spl30_28,
inference(avatar_split_clause,[],[f351,f500]) ).
fof(f500,plain,
( spl30_28
<=> v1_funct_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_28])]) ).
fof(f351,plain,
v1_funct_1(sK26),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( v1_funct_1(sK26)
& v1_xboole_0(sK26)
& v1_relat_1(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f48,f208]) ).
fof(f208,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK26)
& v1_xboole_0(sK26)
& v1_relat_1(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f498,plain,
spl30_27,
inference(avatar_split_clause,[],[f350,f495]) ).
fof(f350,plain,
v1_xboole_0(sK26),
inference(cnf_transformation,[],[f209]) ).
fof(f493,plain,
spl30_26,
inference(avatar_split_clause,[],[f349,f490]) ).
fof(f349,plain,
v1_relat_1(sK26),
inference(cnf_transformation,[],[f209]) ).
fof(f488,plain,
spl30_25,
inference(avatar_split_clause,[],[f348,f485]) ).
fof(f348,plain,
v1_group_1(sK25),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( v1_group_1(sK25)
& l1_group_1(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f45,f206]) ).
fof(f206,plain,
( ? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK25)
& l1_group_1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_group_1) ).
fof(f483,plain,
spl30_24,
inference(avatar_split_clause,[],[f347,f480]) ).
fof(f347,plain,
l1_group_1(sK25),
inference(cnf_transformation,[],[f207]) ).
fof(f478,plain,
spl30_23,
inference(avatar_split_clause,[],[f346,f475]) ).
fof(f475,plain,
( spl30_23
<=> v4_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_23])]) ).
fof(f346,plain,
v4_group_1(sK24),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( v4_group_1(sK24)
& v3_group_1(sK24)
& v1_group_1(sK24)
& ~ v3_struct_0(sK24)
& l1_group_1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f75,f204]) ).
fof(f204,plain,
( ? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v4_group_1(sK24)
& v3_group_1(sK24)
& v1_group_1(sK24)
& ~ v3_struct_0(sK24)
& l1_group_1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f54]) ).
fof(f54,axiom,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_group_1) ).
fof(f473,plain,
spl30_22,
inference(avatar_split_clause,[],[f345,f470]) ).
fof(f470,plain,
( spl30_22
<=> v3_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_22])]) ).
fof(f345,plain,
v3_group_1(sK24),
inference(cnf_transformation,[],[f205]) ).
fof(f468,plain,
spl30_21,
inference(avatar_split_clause,[],[f344,f465]) ).
fof(f344,plain,
v1_group_1(sK24),
inference(cnf_transformation,[],[f205]) ).
fof(f463,plain,
~ spl30_20,
inference(avatar_split_clause,[],[f343,f460]) ).
fof(f460,plain,
( spl30_20
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_20])]) ).
fof(f343,plain,
~ v3_struct_0(sK24),
inference(cnf_transformation,[],[f205]) ).
fof(f458,plain,
spl30_19,
inference(avatar_split_clause,[],[f342,f455]) ).
fof(f342,plain,
l1_group_1(sK24),
inference(cnf_transformation,[],[f205]) ).
fof(f453,plain,
spl30_18,
inference(avatar_split_clause,[],[f341,f450]) ).
fof(f341,plain,
v1_group_1(sK23),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( v1_group_1(sK23)
& ~ v3_struct_0(sK23)
& l1_group_1(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f49,f202]) ).
fof(f202,plain,
( ? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK23)
& ~ v3_struct_0(sK23)
& l1_group_1(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f49,axiom,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_group_1) ).
fof(f448,plain,
~ spl30_17,
inference(avatar_split_clause,[],[f340,f445]) ).
fof(f445,plain,
( spl30_17
<=> v3_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_17])]) ).
fof(f340,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f203]) ).
fof(f443,plain,
spl30_16,
inference(avatar_split_clause,[],[f339,f440]) ).
fof(f339,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f203]) ).
fof(f438,plain,
~ spl30_15,
inference(avatar_split_clause,[],[f338,f435]) ).
fof(f435,plain,
( spl30_15
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_15])]) ).
fof(f338,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ~ v3_struct_0(sK22)
& l1_struct_0(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f55,f200]) ).
fof(f200,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK22)
& l1_struct_0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f433,plain,
spl30_14,
inference(avatar_split_clause,[],[f337,f430]) ).
fof(f430,plain,
( spl30_14
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_14])]) ).
fof(f337,plain,
l1_struct_0(sK22),
inference(cnf_transformation,[],[f201]) ).
fof(f428,plain,
spl30_13,
inference(avatar_split_clause,[],[f336,f425]) ).
fof(f425,plain,
( spl30_13
<=> v1_fraenkel(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_13])]) ).
fof(f336,plain,
v1_fraenkel(sK21),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( v1_fraenkel(sK21)
& ~ v1_xboole_0(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f42,f198]) ).
fof(f198,plain,
( ? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_fraenkel(sK21)
& ~ v1_xboole_0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_fraenkel) ).
fof(f423,plain,
~ spl30_12,
inference(avatar_split_clause,[],[f335,f420]) ).
fof(f420,plain,
( spl30_12
<=> v1_xboole_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_12])]) ).
fof(f335,plain,
~ v1_xboole_0(sK21),
inference(cnf_transformation,[],[f199]) ).
fof(f418,plain,
spl30_11,
inference(avatar_split_clause,[],[f334,f415]) ).
fof(f334,plain,
v1_xboole_0(sK20),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
v1_xboole_0(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f47,f196]) ).
fof(f196,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK20) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f413,plain,
spl30_10,
inference(avatar_split_clause,[],[f333,f410]) ).
fof(f333,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
l1_group_1(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f31,f194]) ).
fof(f194,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK19) ),
introduced(choice_axiom,[]) ).
fof(f31,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f408,plain,
spl30_9,
inference(avatar_split_clause,[],[f332,f405]) ).
fof(f405,plain,
( spl30_9
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_9])]) ).
fof(f332,plain,
l1_struct_0(sK18),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
l1_struct_0(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f32,f192]) ).
fof(f192,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK18) ),
introduced(choice_axiom,[]) ).
fof(f32,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f403,plain,
~ spl30_8,
inference(avatar_split_clause,[],[f331,f400]) ).
fof(f400,plain,
( spl30_8
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_8])]) ).
fof(f331,plain,
~ v1_xboole_0(sK17),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
~ v1_xboole_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f52,f190]) ).
fof(f190,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f52,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f398,plain,
spl30_7,
inference(avatar_split_clause,[],[f223,f395]) ).
fof(f223,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f393,plain,
spl30_6,
inference(avatar_split_clause,[],[f221,f390]) ).
fof(f221,plain,
m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k1_autgroup(sK4)),
inference(cnf_transformation,[],[f150]) ).
fof(f388,plain,
spl30_5,
inference(avatar_split_clause,[],[f220,f385]) ).
fof(f220,plain,
l1_group_1(sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f383,plain,
spl30_4,
inference(avatar_split_clause,[],[f219,f380]) ).
fof(f219,plain,
v4_group_1(sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f378,plain,
spl30_3,
inference(avatar_split_clause,[],[f218,f375]) ).
fof(f218,plain,
v3_group_1(sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f373,plain,
spl30_2,
inference(avatar_split_clause,[],[f217,f370]) ).
fof(f217,plain,
v1_group_1(sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f368,plain,
~ spl30_1,
inference(avatar_split_clause,[],[f216,f365]) ).
fof(f216,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 20:43:07 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % (12424)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.30 % (12425)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.30 % (12427)WARNING: value z3 for option sas not known
% 0.13/0.30 % (12428)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.30 % (12427)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.30 % (12429)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.30 % (12431)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.30 % (12426)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.30 % (12430)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.32 TRYING [1]
% 0.13/0.32 TRYING [2]
% 0.13/0.34 TRYING [3]
% 0.13/0.36 % (12429)First to succeed.
% 0.13/0.37 TRYING [1]
% 0.13/0.38 % (12429)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12424"
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (12429)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (12429)------------------------------
% 0.13/0.39 % (12429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (12429)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (12429)Memory used [KB]: 2099
% 0.13/0.39 % (12429)Time elapsed: 0.082 s
% 0.13/0.39 % (12429)Instructions burned: 134 (million)
% 0.13/0.39 % (12424)Success in time 0.109 s
%------------------------------------------------------------------------------