TSTP Solution File: LAT326+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT326+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:29:06 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 407
% Syntax : Number of formulae : 1322 ( 157 unt; 0 def)
% Number of atoms : 4917 ( 230 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 6210 (2615 ~;2831 |; 348 &)
% ( 328 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 357 ( 355 usr; 327 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 1404 (1336 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2357,plain,
$false,
inference(avatar_sat_refutation,[],[f306,f311,f316,f321,f326,f331,f336,f341,f346,f351,f356,f361,f366,f371,f376,f381,f386,f391,f396,f401,f406,f411,f416,f421,f426,f431,f436,f441,f446,f450,f454,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f510,f516,f526,f555,f559,f564,f568,f572,f576,f580,f584,f594,f598,f602,f606,f610,f614,f621,f625,f629,f633,f637,f642,f652,f656,f660,f664,f668,f672,f676,f680,f704,f713,f717,f721,f725,f729,f733,f743,f747,f751,f755,f759,f778,f782,f786,f790,f794,f813,f817,f821,f825,f829,f835,f839,f843,f850,f854,f858,f862,f874,f881,f893,f898,f904,f910,f915,f920,f925,f931,f936,f942,f948,f955,f960,f968,f973,f978,f984,f991,f996,f997,f998,f999,f1011,f1012,f1044,f1049,f1053,f1057,f1061,f1065,f1069,f1079,f1091,f1095,f1099,f1108,f1112,f1118,f1122,f1126,f1130,f1134,f1138,f1151,f1155,f1165,f1179,f1188,f1193,f1197,f1201,f1205,f1218,f1225,f1229,f1233,f1237,f1268,f1278,f1282,f1286,f1290,f1307,f1313,f1317,f1321,f1322,f1330,f1338,f1342,f1343,f1350,f1355,f1362,f1366,f1374,f1382,f1386,f1390,f1398,f1402,f1408,f1412,f1420,f1424,f1428,f1432,f1446,f1450,f1454,f1458,f1474,f1478,f1482,f1486,f1503,f1507,f1517,f1521,f1532,f1536,f1556,f1562,f1570,f1574,f1580,f1584,f1588,f1592,f1596,f1600,f1622,f1623,f1631,f1635,f1639,f1643,f1647,f1651,f1655,f1660,f1664,f1684,f1688,f1697,f1701,f1705,f1717,f1725,f1726,f1731,f1736,f1748,f1756,f1757,f1765,f1770,f1777,f1781,f1791,f1797,f1801,f1805,f1806,f1813,f1817,f1823,f1827,f1833,f1838,f1842,f1846,f1850,f1851,f1862,f1924,f1930,f1953,f1957,f1958,f1964,f1968,f1977,f1981,f1985,f2003,f2007,f2011,f2021,f2026,f2045,f2057,f2061,f2065,f2069,f2073,f2078,f2082,f2086,f2090,f2118,f2122,f2126,f2130,f2134,f2138,f2142,f2146,f2150,f2154,f2188,f2200,f2209,f2213,f2228,f2232,f2239,f2246,f2261,f2284,f2290,f2294,f2295,f2303,f2307,f2311,f2331,f2332,f2338,f2343,f2347,f2351,f2355,f2356]) ).
fof(f2356,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_105
| spl23_322 ),
inference(avatar_split_clause,[],[f2339,f2335,f833,f313,f308,f303]) ).
fof(f303,plain,
( spl23_1
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f308,plain,
( spl23_2
<=> v10_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f313,plain,
( spl23_3
<=> l3_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f833,plain,
( spl23_105
<=> ! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_105])]) ).
fof(f2335,plain,
( spl23_322
<=> r1_lattice2(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_322])]) ).
fof(f2339,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_105
| spl23_322 ),
inference(resolution,[],[f2337,f834]) ).
fof(f834,plain,
( ! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_105 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f2337,plain,
( ~ r1_lattice2(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1))
| spl23_322 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2355,plain,
( spl23_326
| ~ spl23_94
| ~ spl23_207 ),
inference(avatar_split_clause,[],[f1513,f1505,f776,f2353]) ).
fof(f2353,plain,
( spl23_326
<=> ! [X0,X1] :
( ~ l2_lattices(X0)
| k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_326])]) ).
fof(f776,plain,
( spl23_94
<=> ! [X0,X1] :
( k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_94])]) ).
fof(f1505,plain,
( spl23_207
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_207])]) ).
fof(f1513,plain,
( ! [X0,X1] :
( ~ l2_lattices(X0)
| k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1)) )
| ~ spl23_94
| ~ spl23_207 ),
inference(resolution,[],[f1506,f777]) ).
fof(f777,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) )
| ~ spl23_94 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f1506,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl23_207 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f2351,plain,
( spl23_325
| ~ spl23_94
| ~ spl23_206 ),
inference(avatar_split_clause,[],[f1510,f1501,f776,f2349]) ).
fof(f2349,plain,
( spl23_325
<=> ! [X0,X1] :
( ~ l1_lattices(X0)
| k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_325])]) ).
fof(f1501,plain,
( spl23_206
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_206])]) ).
fof(f1510,plain,
( ! [X0,X1] :
( ~ l1_lattices(X0)
| k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1)) )
| ~ spl23_94
| ~ spl23_206 ),
inference(resolution,[],[f1502,f777]) ).
fof(f1502,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl23_206 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f2347,plain,
( spl23_324
| ~ spl23_94
| ~ spl23_205 ),
inference(avatar_split_clause,[],[f1499,f1484,f776,f2345]) ).
fof(f2345,plain,
( spl23_324
<=> ! [X2,X0,X1] : k1_realset1(k2_zfmisc_1(X0,X1),X2) = k7_relat_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_324])]) ).
fof(f1484,plain,
( spl23_205
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_205])]) ).
fof(f1499,plain,
( ! [X2,X0,X1] : k1_realset1(k2_zfmisc_1(X0,X1),X2) = k7_relat_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ spl23_94
| ~ spl23_205 ),
inference(resolution,[],[f1485,f777]) ).
fof(f1485,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl23_205 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f2343,plain,
( spl23_323
| ~ spl23_94
| ~ spl23_204 ),
inference(avatar_split_clause,[],[f1496,f1480,f776,f2341]) ).
fof(f2341,plain,
( spl23_323
<=> ! [X2,X0,X1] : k1_realset1(sK11(X0,X1),X2) = k7_relat_1(sK11(X0,X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_323])]) ).
fof(f1480,plain,
( spl23_204
<=> ! [X0,X1] : v1_relat_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_204])]) ).
fof(f1496,plain,
( ! [X2,X0,X1] : k1_realset1(sK11(X0,X1),X2) = k7_relat_1(sK11(X0,X1),k2_zfmisc_1(X2,X2))
| ~ spl23_94
| ~ spl23_204 ),
inference(resolution,[],[f1481,f777]) ).
fof(f1481,plain,
( ! [X0,X1] : v1_relat_1(sK11(X0,X1))
| ~ spl23_204 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f2338,plain,
( ~ spl23_47
| ~ spl23_214
| ~ spl23_213
| spl23_215
| ~ spl23_259
| ~ spl23_314
| ~ spl23_322
| ~ spl23_102
| ~ spl23_256 ),
inference(avatar_split_clause,[],[f2333,f1775,f819,f2335,f2277,f1788,f1553,f1545,f1549,f523]) ).
fof(f523,plain,
( spl23_47
<=> l1_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_47])]) ).
fof(f1549,plain,
( spl23_214
<=> m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_214])]) ).
fof(f1545,plain,
( spl23_213
<=> v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_213])]) ).
fof(f1553,plain,
( spl23_215
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_215])]) ).
fof(f1788,plain,
( spl23_259
<=> v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_259])]) ).
fof(f2277,plain,
( spl23_314
<=> m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_314])]) ).
fof(f819,plain,
( spl23_102
<=> ! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_102])]) ).
fof(f1775,plain,
( spl23_256
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r1_lattice2(X0,u1_lattices(sK1),u2_lattices(sK1))
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_256])]) ).
fof(f2333,plain,
( ~ r1_lattice2(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1))
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_lattices(sK1)
| ~ spl23_102
| ~ spl23_256 ),
inference(resolution,[],[f1776,f820]) ).
fof(f820,plain,
( ! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl23_102 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1776,plain,
( ! [X0] :
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ r1_lattice2(X0,u1_lattices(sK1),u2_lattices(sK1))
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) )
| ~ spl23_256 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f2332,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_106
| spl23_315 ),
inference(avatar_split_clause,[],[f2285,f2281,f837,f313,f308,f303]) ).
fof(f837,plain,
( spl23_106
<=> ! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_106])]) ).
fof(f2281,plain,
( spl23_315
<=> r1_lattice2(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_315])]) ).
fof(f2285,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_106
| spl23_315 ),
inference(resolution,[],[f2283,f838]) ).
fof(f838,plain,
( ! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_106 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f2283,plain,
( ~ r1_lattice2(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| spl23_315 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f2331,plain,
( spl23_321
| ~ spl23_94
| ~ spl23_203 ),
inference(avatar_split_clause,[],[f1493,f1476,f776,f2329]) ).
fof(f2329,plain,
( spl23_321
<=> ! [X2,X0,X1] : k1_realset1(sK12(X0,X1),X2) = k7_relat_1(sK12(X0,X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_321])]) ).
fof(f1476,plain,
( spl23_203
<=> ! [X0,X1] : v1_relat_1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_203])]) ).
fof(f1493,plain,
( ! [X2,X0,X1] : k1_realset1(sK12(X0,X1),X2) = k7_relat_1(sK12(X0,X1),k2_zfmisc_1(X2,X2))
| ~ spl23_94
| ~ spl23_203 ),
inference(resolution,[],[f1477,f777]) ).
fof(f1477,plain,
( ! [X0,X1] : v1_relat_1(sK12(X0,X1))
| ~ spl23_203 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f2311,plain,
( spl23_320
| ~ spl23_89
| ~ spl23_238 ),
inference(avatar_split_clause,[],[f1693,f1686,f741,f2309]) ).
fof(f2309,plain,
( spl23_320
<=> ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_320])]) ).
fof(f741,plain,
( spl23_89
<=> ! [X0] :
( m2_lattice4(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_89])]) ).
fof(f1686,plain,
( spl23_238
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_238])]) ).
fof(f1693,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(sK6(X0)) )
| ~ spl23_89
| ~ spl23_238 ),
inference(duplicate_literal_removal,[],[f1690]) ).
fof(f1690,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(sK6(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_89
| ~ spl23_238 ),
inference(resolution,[],[f1687,f742]) ).
fof(f742,plain,
( ! [X0] :
( m2_lattice4(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_89 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f1687,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(X1) )
| ~ spl23_238 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f2307,plain,
( spl23_319
| ~ spl23_90
| ~ spl23_238 ),
inference(avatar_split_clause,[],[f1692,f1686,f745,f2305]) ).
fof(f2305,plain,
( spl23_319
<=> ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_319])]) ).
fof(f745,plain,
( spl23_90
<=> ! [X0] :
( m2_lattice4(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_90])]) ).
fof(f1692,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(sK7(X0)) )
| ~ spl23_90
| ~ spl23_238 ),
inference(duplicate_literal_removal,[],[f1691]) ).
fof(f1691,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_90
| ~ spl23_238 ),
inference(resolution,[],[f1687,f746]) ).
fof(f746,plain,
( ! [X0] :
( m2_lattice4(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_90 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f2303,plain,
( spl23_318
| ~ spl23_138
| ~ spl23_224 ),
inference(avatar_split_clause,[],[f1614,f1598,f1051,f2301]) ).
fof(f2301,plain,
( spl23_318
<=> ! [X0,X1] :
( m1_subset_1(sK9(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_318])]) ).
fof(f1051,plain,
( spl23_138
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK9(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_138])]) ).
fof(f1598,plain,
( spl23_224
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_224])]) ).
fof(f1614,plain,
( ! [X0,X1] :
( m1_subset_1(sK9(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) )
| ~ spl23_138
| ~ spl23_224 ),
inference(resolution,[],[f1599,f1052]) ).
fof(f1052,plain,
( ! [X0] :
( r2_hidden(sK9(X0),X0)
| v1_xboole_0(X0) )
| ~ spl23_138 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1599,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl23_224 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f2295,plain,
( ~ spl23_55
| ~ spl23_104
| spl23_314 ),
inference(avatar_split_clause,[],[f2286,f2277,f827,f561]) ).
fof(f561,plain,
( spl23_55
<=> l2_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
fof(f827,plain,
( spl23_104
<=> ! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_104])]) ).
fof(f2286,plain,
( ~ l2_lattices(sK1)
| ~ spl23_104
| spl23_314 ),
inference(resolution,[],[f2279,f828]) ).
fof(f828,plain,
( ! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl23_104 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f2279,plain,
( ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl23_314 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f2294,plain,
( spl23_317
| ~ spl23_138
| ~ spl23_223 ),
inference(avatar_split_clause,[],[f1613,f1594,f1051,f2292]) ).
fof(f2292,plain,
( spl23_317
<=> ! [X0,X1] :
( m1_subset_1(sK9(sK12(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_317])]) ).
fof(f1594,plain,
( spl23_223
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_223])]) ).
fof(f1613,plain,
( ! [X0,X1] :
( m1_subset_1(sK9(sK12(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK12(X0,X1)) )
| ~ spl23_138
| ~ spl23_223 ),
inference(resolution,[],[f1595,f1052]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl23_223 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f2290,plain,
( spl23_316
| ~ spl23_74
| ~ spl23_219 ),
inference(avatar_split_clause,[],[f1601,f1578,f654,f2288]) ).
fof(f2288,plain,
( spl23_316
<=> ! [X0] :
( v1_xboole_0(sK9(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK9(sK9(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_316])]) ).
fof(f654,plain,
( spl23_74
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_74])]) ).
fof(f1578,plain,
( spl23_219
<=> ! [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,[spl23_219])]) ).
fof(f1601,plain,
( ! [X0] :
( v1_xboole_0(sK9(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK9(sK9(k1_zfmisc_1(X0))),X0) )
| ~ spl23_74
| ~ spl23_219 ),
inference(resolution,[],[f1579,f655]) ).
fof(f655,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl23_74 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f1579,plain,
( ! [X0] :
( m1_subset_1(sK9(sK9(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) )
| ~ spl23_219 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f2284,plain,
( ~ spl23_47
| ~ spl23_214
| ~ spl23_259
| ~ spl23_314
| ~ spl23_213
| spl23_215
| ~ spl23_315
| ~ spl23_102
| ~ spl23_257 ),
inference(avatar_split_clause,[],[f1959,f1779,f819,f2281,f1553,f1545,f2277,f1788,f1549,f523]) ).
fof(f1779,plain,
( spl23_257
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r1_lattice2(X0,u2_lattices(sK1),u1_lattices(sK1))
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_257])]) ).
fof(f1959,plain,
( ~ r1_lattice2(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_lattices(sK1)
| ~ spl23_102
| ~ spl23_257 ),
inference(resolution,[],[f1780,f820]) ).
fof(f1780,plain,
( ! [X0] :
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ r1_lattice2(X0,u2_lattices(sK1),u1_lattices(sK1))
| v1_xboole_0(X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) )
| ~ spl23_257 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f2261,plain,
( spl23_313
| ~ spl23_74
| ~ spl23_220 ),
inference(avatar_split_clause,[],[f1609,f1582,f654,f2259]) ).
fof(f2259,plain,
( spl23_313
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK5(X0))
| r2_hidden(sK9(sK5(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_313])]) ).
fof(f1582,plain,
( spl23_220
<=> ! [X0] :
( m1_subset_1(sK9(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_220])]) ).
fof(f1609,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK5(X0))
| r2_hidden(sK9(sK5(X0)),X0) )
| ~ spl23_74
| ~ spl23_220 ),
inference(duplicate_literal_removal,[],[f1605]) ).
fof(f1605,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK5(X0))
| v1_xboole_0(X0)
| r2_hidden(sK9(sK5(X0)),X0) )
| ~ spl23_74
| ~ spl23_220 ),
inference(resolution,[],[f1583,f655]) ).
fof(f1583,plain,
( ! [X0] :
( m1_subset_1(sK9(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl23_220 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f2246,plain,
( spl23_312
| ~ spl23_71
| ~ spl23_211 ),
inference(avatar_split_clause,[],[f1538,f1534,f635,f2244]) ).
fof(f2244,plain,
( spl23_312
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK9(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_312])]) ).
fof(f635,plain,
( spl23_71
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_71])]) ).
fof(f1534,plain,
( spl23_211
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_211])]) ).
fof(f1538,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK9(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl23_71
| ~ spl23_211 ),
inference(resolution,[],[f1535,f636]) ).
fof(f636,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl23_71 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f1535,plain,
( ! [X0] :
( v1_xboole_0(sK9(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl23_211 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f2239,plain,
( spl23_311
| ~ spl23_63
| ~ spl23_304 ),
inference(avatar_split_clause,[],[f2193,f2152,f600,f2237]) ).
fof(f2237,plain,
( spl23_311
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(u1_struct_0(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_311])]) ).
fof(f600,plain,
( spl23_63
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_63])]) ).
fof(f2152,plain,
( spl23_304
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| r2_hidden(X0,u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_304])]) ).
fof(f2193,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(u1_struct_0(sK1),X0) )
| ~ spl23_63
| ~ spl23_304 ),
inference(resolution,[],[f2153,f601]) ).
fof(f601,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl23_63 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f2153,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,sK2) )
| ~ spl23_304 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f2232,plain,
( spl23_310
| ~ spl23_138
| ~ spl23_218 ),
inference(avatar_split_clause,[],[f1576,f1572,f1051,f2230]) ).
fof(f2230,plain,
( spl23_310
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_310])]) ).
fof(f1572,plain,
( spl23_218
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_218])]) ).
fof(f1576,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) )
| ~ spl23_138
| ~ spl23_218 ),
inference(resolution,[],[f1573,f1052]) ).
fof(f1573,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK11(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl23_218 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f2228,plain,
( spl23_309
| ~ spl23_138
| ~ spl23_217 ),
inference(avatar_split_clause,[],[f1575,f1568,f1051,f2226]) ).
fof(f2226,plain,
( spl23_309
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_309])]) ).
fof(f1568,plain,
( spl23_217
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_217])]) ).
fof(f1575,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK12(X0,X1)) )
| ~ spl23_138
| ~ spl23_217 ),
inference(resolution,[],[f1569,f1052]) ).
fof(f1569,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK12(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl23_217 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f2213,plain,
( spl23_308
| ~ spl23_130
| ~ spl23_211 ),
inference(avatar_split_clause,[],[f1537,f1534,f982,f2211]) ).
fof(f2211,plain,
( spl23_308
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK18 = sK9(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_308])]) ).
fof(f982,plain,
( spl23_130
<=> ! [X0] :
( sK18 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_130])]) ).
fof(f1537,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK18 = sK9(k1_zfmisc_1(X0)) )
| ~ spl23_130
| ~ spl23_211 ),
inference(resolution,[],[f1535,f983]) ).
fof(f983,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK18 = X0 )
| ~ spl23_130 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f2209,plain,
( spl23_307
| ~ spl23_44
| ~ spl23_211 ),
inference(avatar_split_clause,[],[f1539,f1534,f504,f2207]) ).
fof(f2207,plain,
( spl23_307
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK9(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_307])]) ).
fof(f504,plain,
( spl23_44
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f1539,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK9(k1_zfmisc_1(X0))) )
| ~ spl23_44
| ~ spl23_211 ),
inference(resolution,[],[f1535,f505]) ).
fof(f505,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl23_44 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f2200,plain,
( spl23_306
| spl23_187
| ~ spl23_279 ),
inference(avatar_split_clause,[],[f1994,f1983,f1379,f2198]) ).
fof(f2198,plain,
( spl23_306
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),X1) = k7_relat_1(k7_relat_1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_306])]) ).
fof(f1379,plain,
( spl23_187
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_187])]) ).
fof(f1983,plain,
( spl23_279
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_279])]) ).
fof(f1994,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),X1) = k7_relat_1(k7_relat_1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),k2_zfmisc_1(X1,X1))
| spl23_187
| ~ spl23_279 ),
inference(resolution,[],[f1984,f1381]) ).
fof(f1381,plain,
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| spl23_187 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1984,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl23_279 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f2188,plain,
( spl23_305
| spl23_187
| ~ spl23_277 ),
inference(avatar_split_clause,[],[f1987,f1975,f1379,f2186]) ).
fof(f2186,plain,
( spl23_305
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),X1) = k7_relat_1(k1_realset1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_305])]) ).
fof(f1975,plain,
( spl23_277
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_277])]) ).
fof(f1987,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),X1) = k7_relat_1(k1_realset1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0),k2_zfmisc_1(X1,X1))
| spl23_187
| ~ spl23_277 ),
inference(resolution,[],[f1976,f1381]) ).
fof(f1976,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl23_277 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f2154,plain,
( spl23_215
| spl23_304
| ~ spl23_74
| ~ spl23_278 ),
inference(avatar_split_clause,[],[f2012,f1979,f654,f2152,f1553]) ).
fof(f1979,plain,
( spl23_278
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_278])]) ).
fof(f2012,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl23_74
| ~ spl23_278 ),
inference(resolution,[],[f1980,f655]) ).
fof(f1980,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,sK2) )
| ~ spl23_278 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f2150,plain,
( spl23_303
| ~ spl23_99
| ~ spl23_271 ),
inference(avatar_split_clause,[],[f1936,f1860,f806,f2148]) ).
fof(f2148,plain,
( spl23_303
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_303])]) ).
fof(f806,plain,
( spl23_99
<=> v1_relat_1(u1_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_99])]) ).
fof(f1860,plain,
( spl23_271
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k7_relat_1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_271])]) ).
fof(f1936,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_99
| ~ spl23_271 ),
inference(resolution,[],[f1861,f807]) ).
fof(f807,plain,
( v1_relat_1(u1_lattices(sK1))
| ~ spl23_99 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1861,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k7_relat_1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl23_271 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f2146,plain,
( spl23_302
| ~ spl23_82
| ~ spl23_271 ),
inference(avatar_split_clause,[],[f1933,f1860,f706,f2144]) ).
fof(f2144,plain,
( spl23_302
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_302])]) ).
fof(f706,plain,
( spl23_82
<=> v1_relat_1(u2_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_82])]) ).
fof(f1933,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_82
| ~ spl23_271 ),
inference(resolution,[],[f1861,f707]) ).
fof(f707,plain,
( v1_relat_1(u2_lattices(sK1))
| ~ spl23_82 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f2142,plain,
( spl23_301
| ~ spl23_99
| ~ spl23_270 ),
inference(avatar_split_clause,[],[f1910,f1848,f806,f2140]) ).
fof(f2140,plain,
( spl23_301
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_301])]) ).
fof(f1848,plain,
( spl23_270
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k7_relat_1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_270])]) ).
fof(f1910,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_99
| ~ spl23_270 ),
inference(resolution,[],[f1849,f807]) ).
fof(f1849,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k7_relat_1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl23_270 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f2138,plain,
( spl23_300
| ~ spl23_82
| ~ spl23_270 ),
inference(avatar_split_clause,[],[f1907,f1848,f706,f2136]) ).
fof(f2136,plain,
( spl23_300
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_300])]) ).
fof(f1907,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_82
| ~ spl23_270 ),
inference(resolution,[],[f1849,f707]) ).
fof(f2134,plain,
( spl23_299
| ~ spl23_99
| ~ spl23_269 ),
inference(avatar_split_clause,[],[f1892,f1844,f806,f2132]) ).
fof(f2132,plain,
( spl23_299
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_299])]) ).
fof(f1844,plain,
( spl23_269
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k1_realset1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_269])]) ).
fof(f1892,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_99
| ~ spl23_269 ),
inference(resolution,[],[f1845,f807]) ).
fof(f1845,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k1_realset1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl23_269 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f2130,plain,
( spl23_298
| ~ spl23_82
| ~ spl23_269 ),
inference(avatar_split_clause,[],[f1889,f1844,f706,f2128]) ).
fof(f2128,plain,
( spl23_298
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_298])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_82
| ~ spl23_269 ),
inference(resolution,[],[f1845,f707]) ).
fof(f2126,plain,
( spl23_297
| ~ spl23_99
| ~ spl23_268 ),
inference(avatar_split_clause,[],[f1874,f1840,f806,f2124]) ).
fof(f2124,plain,
( spl23_297
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_297])]) ).
fof(f1840,plain,
( spl23_268
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k1_realset1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_268])]) ).
fof(f1874,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(u1_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(u1_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_99
| ~ spl23_268 ),
inference(resolution,[],[f1841,f807]) ).
fof(f1841,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k1_realset1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl23_268 ),
inference(avatar_component_clause,[],[f1840]) ).
fof(f2122,plain,
( spl23_296
| ~ spl23_82
| ~ spl23_268 ),
inference(avatar_split_clause,[],[f1871,f1840,f706,f2120]) ).
fof(f2120,plain,
( spl23_296
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_296])]) ).
fof(f1871,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(u2_lattices(sK1),X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(u2_lattices(sK1),X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_82
| ~ spl23_268 ),
inference(resolution,[],[f1841,f707]) ).
fof(f2118,plain,
( spl23_295
| spl23_187
| ~ spl23_267 ),
inference(avatar_split_clause,[],[f1864,f1836,f1379,f2116]) ).
fof(f2116,plain,
( spl23_295
<=> ! [X0] : k1_realset1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0) = k7_relat_1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_295])]) ).
fof(f1836,plain,
( spl23_267
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2) = k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_267])]) ).
fof(f1864,plain,
( ! [X0] : k1_realset1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),X0) = k7_relat_1(sK5(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)),k2_zfmisc_1(X0,X0))
| spl23_187
| ~ spl23_267 ),
inference(resolution,[],[f1837,f1381]) ).
fof(f1837,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2) = k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) )
| ~ spl23_267 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f2090,plain,
( spl23_294
| ~ spl23_100
| ~ spl23_271 ),
inference(avatar_split_clause,[],[f1940,f1860,f810,f2088]) ).
fof(f2088,plain,
( spl23_294
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_294])]) ).
fof(f810,plain,
( spl23_100
<=> v1_relat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_100])]) ).
fof(f1940,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_100
| ~ spl23_271 ),
inference(resolution,[],[f1861,f812]) ).
fof(f812,plain,
( v1_relat_1(sK4)
| ~ spl23_100 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f2086,plain,
( spl23_293
| ~ spl23_83
| ~ spl23_271 ),
inference(avatar_split_clause,[],[f1939,f1860,f710,f2084]) ).
fof(f2084,plain,
( spl23_293
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_293])]) ).
fof(f710,plain,
( spl23_83
<=> v1_relat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_83])]) ).
fof(f1939,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_83
| ~ spl23_271 ),
inference(resolution,[],[f1861,f712]) ).
fof(f712,plain,
( v1_relat_1(sK3)
| ~ spl23_83 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f2082,plain,
( spl23_292
| ~ spl23_100
| ~ spl23_270 ),
inference(avatar_split_clause,[],[f1914,f1848,f810,f2080]) ).
fof(f2080,plain,
( spl23_292
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_292])]) ).
fof(f1914,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_100
| ~ spl23_270 ),
inference(resolution,[],[f1849,f812]) ).
fof(f2078,plain,
( ~ spl23_291
| ~ spl23_63
| ~ spl23_283 ),
inference(avatar_split_clause,[],[f2033,f2014,f600,f2075]) ).
fof(f2075,plain,
( spl23_291
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_291])]) ).
fof(f2014,plain,
( spl23_283
<=> r2_hidden(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_283])]) ).
fof(f2033,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK1)),sK2)
| ~ spl23_63
| ~ spl23_283 ),
inference(resolution,[],[f2016,f601]) ).
fof(f2016,plain,
( r2_hidden(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl23_283 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2073,plain,
( spl23_290
| ~ spl23_83
| ~ spl23_270 ),
inference(avatar_split_clause,[],[f1913,f1848,f710,f2071]) ).
fof(f2071,plain,
( spl23_290
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_290])]) ).
fof(f1913,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_83
| ~ spl23_270 ),
inference(resolution,[],[f1849,f712]) ).
fof(f2069,plain,
( spl23_289
| ~ spl23_100
| ~ spl23_269 ),
inference(avatar_split_clause,[],[f1896,f1844,f810,f2067]) ).
fof(f2067,plain,
( spl23_289
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_289])]) ).
fof(f1896,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_100
| ~ spl23_269 ),
inference(resolution,[],[f1845,f812]) ).
fof(f2065,plain,
( spl23_288
| ~ spl23_83
| ~ spl23_269 ),
inference(avatar_split_clause,[],[f1895,f1844,f710,f2063]) ).
fof(f2063,plain,
( spl23_288
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_288])]) ).
fof(f1895,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_83
| ~ spl23_269 ),
inference(resolution,[],[f1845,f712]) ).
fof(f2061,plain,
( spl23_287
| ~ spl23_100
| ~ spl23_268 ),
inference(avatar_split_clause,[],[f1878,f1840,f810,f2059]) ).
fof(f2059,plain,
( spl23_287
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_287])]) ).
fof(f1878,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_100
| ~ spl23_268 ),
inference(resolution,[],[f1841,f812]) ).
fof(f2057,plain,
( spl23_286
| ~ spl23_83
| ~ spl23_268 ),
inference(avatar_split_clause,[],[f1877,f1840,f710,f2055]) ).
fof(f2055,plain,
( spl23_286
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_286])]) ).
fof(f1877,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl23_83
| ~ spl23_268 ),
inference(resolution,[],[f1841,f712]) ).
fof(f2045,plain,
( spl23_187
| spl23_285
| ~ spl23_74
| ~ spl23_191 ),
inference(avatar_split_clause,[],[f1404,f1400,f654,f2043,f1379]) ).
fof(f2043,plain,
( spl23_285
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_285])]) ).
fof(f1400,plain,
( spl23_191
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_191])]) ).
fof(f1404,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) )
| ~ spl23_74
| ~ spl23_191 ),
inference(resolution,[],[f1401,f655]) ).
fof(f1401,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| ~ r2_hidden(X0,sK4) )
| ~ spl23_191 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f2026,plain,
( ~ spl23_30
| ~ spl23_284 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2022,plain,
( $false
| ~ spl23_30
| ~ spl23_284 ),
inference(resolution,[],[f2020,f449]) ).
fof(f449,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl23_30
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f2020,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl23_284 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2018,plain,
( spl23_284
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_284])]) ).
fof(f2021,plain,
( spl23_283
| spl23_284
| ~ spl23_74
| ~ spl23_214 ),
inference(avatar_split_clause,[],[f1760,f1549,f654,f2018,f2014]) ).
fof(f1760,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK1)))
| r2_hidden(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl23_74
| ~ spl23_214 ),
inference(resolution,[],[f1550,f655]) ).
fof(f1550,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl23_214 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f2011,plain,
( spl23_282
| ~ spl23_171
| ~ spl23_176 ),
inference(avatar_split_clause,[],[f1308,f1305,f1266,f2009]) ).
fof(f2009,plain,
( spl23_282
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ m2_lattice4(k1_zfmisc_1(u1_struct_0(X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_282])]) ).
fof(f1266,plain,
( spl23_171
<=> ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_171])]) ).
fof(f1305,plain,
( spl23_176
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_176])]) ).
fof(f1308,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ m2_lattice4(k1_zfmisc_1(u1_struct_0(X0)),X2) )
| ~ spl23_171
| ~ spl23_176 ),
inference(resolution,[],[f1306,f1267]) ).
fof(f1267,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ m2_lattice4(X0,X1) )
| ~ spl23_171 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1306,plain,
( ! [X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_lattice4(X0,X1) )
| ~ spl23_176 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f2007,plain,
( spl23_281
| ~ spl23_167
| ~ spl23_171 ),
inference(avatar_split_clause,[],[f1270,f1266,f1223,f2005]) ).
fof(f2005,plain,
( spl23_281
<=> ! [X0,X3,X2,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_281])]) ).
fof(f1223,plain,
( spl23_167
<=> ! [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,[spl23_167])]) ).
fof(f1270,plain,
( ! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) )
| ~ spl23_167
| ~ spl23_171 ),
inference(resolution,[],[f1267,f1224]) ).
fof(f1224,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl23_167 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f2003,plain,
( spl23_280
| ~ spl23_166
| ~ spl23_171 ),
inference(avatar_split_clause,[],[f1272,f1266,f1216,f2001]) ).
fof(f2001,plain,
( spl23_280
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK8(X1),u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(u1_struct_0(X1)),X0)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_280])]) ).
fof(f1216,plain,
( spl23_166
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_166])]) ).
fof(f1272,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK8(X1),u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(u1_struct_0(X1)),X0)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) )
| ~ spl23_166
| ~ spl23_171 ),
inference(resolution,[],[f1267,f1217]) ).
fof(f1217,plain,
( ! [X0] :
( r2_hidden(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl23_166 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1985,plain,
( spl23_279
| ~ spl23_149
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1252,f1231,f1116,f1983]) ).
fof(f1116,plain,
( spl23_149
<=> ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_149])]) ).
fof(f1231,plain,
( spl23_169
<=> ! [X2,X0,X1] :
( k1_realset1(k7_relat_1(X0,X1),X2) = k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_169])]) ).
fof(f1252,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl23_149
| ~ spl23_169 ),
inference(resolution,[],[f1232,f1117]) ).
fof(f1117,plain,
( ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl23_149 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1232,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k7_relat_1(X0,X1),X2) = k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2)) )
| ~ spl23_169 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1981,plain,
( spl23_278
| ~ spl23_93
| ~ spl23_214 ),
inference(avatar_split_clause,[],[f1759,f1549,f757,f1979]) ).
fof(f757,plain,
( spl23_93
<=> ! [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,[spl23_93])]) ).
fof(f1759,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,sK2) )
| ~ spl23_93
| ~ spl23_214 ),
inference(resolution,[],[f1550,f758]) ).
fof(f758,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl23_93 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f1977,plain,
( spl23_277
| ~ spl23_149
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1243,f1227,f1116,f1975]) ).
fof(f1227,plain,
( spl23_168
<=> ! [X2,X0,X1] :
( k1_realset1(k1_realset1(X0,X1),X2) = k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_168])]) ).
fof(f1243,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl23_149
| ~ spl23_168 ),
inference(resolution,[],[f1228,f1117]) ).
fof(f1228,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k1_realset1(X0,X1),X2) = k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2)) )
| ~ spl23_168 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1968,plain,
( spl23_276
| ~ spl23_139
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1253,f1231,f1055,f1966]) ).
fof(f1966,plain,
( spl23_276
<=> ! [X0,X3,X2,X1] : k1_realset1(k7_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k7_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_276])]) ).
fof(f1055,plain,
( spl23_139
<=> ! [X0,X1] : v1_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_139])]) ).
fof(f1253,plain,
( ! [X2,X3,X0,X1] : k1_realset1(k7_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k7_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3))
| ~ spl23_139
| ~ spl23_169 ),
inference(resolution,[],[f1232,f1056]) ).
fof(f1056,plain,
( ! [X0,X1] : v1_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl23_139 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1964,plain,
( spl23_275
| ~ spl23_139
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1244,f1227,f1055,f1962]) ).
fof(f1962,plain,
( spl23_275
<=> ! [X0,X3,X2,X1] : k1_realset1(k1_realset1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k1_realset1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_275])]) ).
fof(f1244,plain,
( ! [X2,X3,X0,X1] : k1_realset1(k1_realset1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k1_realset1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3))
| ~ spl23_139
| ~ spl23_168 ),
inference(resolution,[],[f1228,f1056]) ).
fof(f1958,plain,
( spl23_1
| ~ spl23_116
| ~ spl23_55
| ~ spl23_97
| spl23_272 ),
inference(avatar_split_clause,[],[f1931,f1927,f788,f561,f901,f303]) ).
fof(f901,plain,
( spl23_116
<=> v4_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_116])]) ).
fof(f788,plain,
( spl23_97
<=> ! [X0] :
( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_97])]) ).
fof(f1927,plain,
( spl23_272
<=> v1_binop_1(u2_lattices(sK1),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_272])]) ).
fof(f1931,plain,
( ~ l2_lattices(sK1)
| ~ v4_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_97
| spl23_272 ),
inference(resolution,[],[f1929,f789]) ).
fof(f789,plain,
( ! [X0] :
( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_97 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f1929,plain,
( ~ v1_binop_1(u2_lattices(sK1),u1_struct_0(sK1))
| spl23_272 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1957,plain,
( spl23_274
| ~ spl23_156
| ~ spl23_171 ),
inference(avatar_split_clause,[],[f1271,f1266,f1153,f1955]) ).
fof(f1955,plain,
( spl23_274
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X1),u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_274])]) ).
fof(f1153,plain,
( spl23_156
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_156])]) ).
fof(f1271,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK5(X1),u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl23_156
| ~ spl23_171 ),
inference(resolution,[],[f1267,f1154]) ).
fof(f1154,plain,
( ! [X0] :
( r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_156 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1953,plain,
( spl23_273
| ~ spl23_155
| ~ spl23_171 ),
inference(avatar_split_clause,[],[f1269,f1266,f1149,f1951]) ).
fof(f1951,plain,
( spl23_273
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(X2),X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_273])]) ).
fof(f1149,plain,
( spl23_155
<=> ! [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,[spl23_155])]) ).
fof(f1269,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(X2),X0)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) )
| ~ spl23_155
| ~ spl23_171 ),
inference(resolution,[],[f1267,f1150]) ).
fof(f1150,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl23_155 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1930,plain,
( ~ spl23_55
| ~ spl23_272
| ~ spl23_259
| ~ spl23_214
| spl23_215
| ~ spl23_104
| ~ spl23_181 ),
inference(avatar_split_clause,[],[f1925,f1340,f827,f1553,f1549,f1788,f1927,f561]) ).
fof(f1340,plain,
( spl23_181
<=> ! [X0] :
( ~ v1_binop_1(u2_lattices(sK1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_181])]) ).
fof(f1925,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_binop_1(u2_lattices(sK1),u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| ~ spl23_104
| ~ spl23_181 ),
inference(resolution,[],[f1341,f828]) ).
fof(f1341,plain,
( ! [X0] :
( ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_binop_1(u2_lattices(sK1),X0) )
| ~ spl23_181 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1924,plain,
( spl23_1
| ~ spl23_72
| ~ spl23_68
| ~ spl23_215 ),
inference(avatar_split_clause,[],[f1853,f1553,f623,f639,f303]) ).
fof(f639,plain,
( spl23_72
<=> l1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_72])]) ).
fof(f623,plain,
( spl23_68
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_68])]) ).
fof(f1853,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl23_68
| ~ spl23_215 ),
inference(resolution,[],[f1555,f624]) ).
fof(f624,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl23_68 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f1555,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl23_215 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f1862,plain,
( spl23_271
| ~ spl23_61
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1251,f1231,f592,f1860]) ).
fof(f592,plain,
( spl23_61
<=> ! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_61])]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k7_relat_1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl23_61
| ~ spl23_169 ),
inference(resolution,[],[f1232,f593]) ).
fof(f593,plain,
( ! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) )
| ~ spl23_61 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1851,plain,
( spl23_1
| ~ spl23_133
| ~ spl23_47
| ~ spl23_95
| spl23_266 ),
inference(avatar_split_clause,[],[f1834,f1830,f780,f523,f1008,f303]) ).
fof(f1008,plain,
( spl23_133
<=> v7_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_133])]) ).
fof(f780,plain,
( spl23_95
<=> ! [X0] :
( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_95])]) ).
fof(f1830,plain,
( spl23_266
<=> v2_binop_1(u1_lattices(sK1),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_266])]) ).
fof(f1834,plain,
( ~ l1_lattices(sK1)
| ~ v7_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_95
| spl23_266 ),
inference(resolution,[],[f1832,f781]) ).
fof(f781,plain,
( ! [X0] :
( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_95 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f1832,plain,
( ~ v2_binop_1(u1_lattices(sK1),u1_struct_0(sK1))
| spl23_266 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f1850,plain,
( spl23_270
| ~ spl23_62
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1250,f1231,f596,f1848]) ).
fof(f596,plain,
( spl23_62
<=> ! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_62])]) ).
fof(f1250,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k7_relat_1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl23_62
| ~ spl23_169 ),
inference(resolution,[],[f1232,f597]) ).
fof(f597,plain,
( ! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) )
| ~ spl23_62 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f1846,plain,
( spl23_269
| ~ spl23_61
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1242,f1227,f592,f1844]) ).
fof(f1242,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k1_realset1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl23_61
| ~ spl23_168 ),
inference(resolution,[],[f1228,f593]) ).
fof(f1842,plain,
( spl23_268
| ~ spl23_62
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1241,f1227,f596,f1840]) ).
fof(f1241,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k1_realset1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl23_62
| ~ spl23_168 ),
inference(resolution,[],[f1228,f597]) ).
fof(f1838,plain,
( spl23_267
| ~ spl23_94
| ~ spl23_149 ),
inference(avatar_split_clause,[],[f1139,f1116,f776,f1836]) ).
fof(f1139,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(sK5(k2_zfmisc_1(X0,X1)),X2) = k7_relat_1(sK5(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) )
| ~ spl23_94
| ~ spl23_149 ),
inference(resolution,[],[f1117,f777]) ).
fof(f1833,plain,
( ~ spl23_47
| ~ spl23_266
| ~ spl23_213
| ~ spl23_214
| spl23_215
| ~ spl23_102
| ~ spl23_161 ),
inference(avatar_split_clause,[],[f1828,f1186,f819,f1553,f1549,f1545,f1830,f523]) ).
fof(f1186,plain,
( spl23_161
<=> ! [X0] :
( ~ v2_binop_1(u1_lattices(sK1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_161])]) ).
fof(f1828,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v2_binop_1(u1_lattices(sK1),u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| ~ spl23_102
| ~ spl23_161 ),
inference(resolution,[],[f1187,f820]) ).
fof(f1187,plain,
( ! [X0] :
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v2_binop_1(u1_lattices(sK1),X0) )
| ~ spl23_161 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1827,plain,
( spl23_1
| ~ spl23_123
| ~ spl23_55
| ~ spl23_96
| spl23_258 ),
inference(avatar_split_clause,[],[f1792,f1784,f784,f561,f939,f303]) ).
fof(f939,plain,
( spl23_123
<=> v5_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_123])]) ).
fof(f784,plain,
( spl23_96
<=> ! [X0] :
( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_96])]) ).
fof(f1784,plain,
( spl23_258
<=> v2_binop_1(u2_lattices(sK1),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_258])]) ).
fof(f1792,plain,
( ~ l2_lattices(sK1)
| ~ v5_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_96
| spl23_258 ),
inference(resolution,[],[f1786,f785]) ).
fof(f785,plain,
( ! [X0] :
( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_96 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f1786,plain,
( ~ v2_binop_1(u2_lattices(sK1),u1_struct_0(sK1))
| spl23_258 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1823,plain,
( spl23_265
| ~ spl23_63
| ~ spl23_176 ),
inference(avatar_split_clause,[],[f1312,f1305,f600,f1821]) ).
fof(f1821,plain,
( spl23_265
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_265])]) ).
fof(f1312,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) )
| ~ spl23_63
| ~ spl23_176 ),
inference(resolution,[],[f1306,f601]) ).
fof(f1817,plain,
( spl23_264
| ~ spl23_144
| ~ spl23_171 ),
inference(avatar_split_clause,[],[f1274,f1266,f1089,f1815]) ).
fof(f1815,plain,
( spl23_264
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK18,u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_264])]) ).
fof(f1089,plain,
( spl23_144
<=> ! [X0] :
( r2_hidden(sK18,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_144])]) ).
fof(f1274,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK18,u1_struct_0(X0))
| ~ m2_lattice4(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) )
| ~ spl23_144
| ~ spl23_171 ),
inference(resolution,[],[f1267,f1090]) ).
fof(f1090,plain,
( ! [X0] :
( r2_hidden(sK18,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl23_144 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1813,plain,
( spl23_263
| ~ spl23_94
| ~ spl23_139 ),
inference(avatar_split_clause,[],[f1074,f1055,f776,f1811]) ).
fof(f1811,plain,
( spl23_263
<=> ! [X2,X0,X1] : k1_realset1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) = k7_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_263])]) ).
fof(f1074,plain,
( ! [X2,X0,X1] : k1_realset1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) = k7_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X2,X2))
| ~ spl23_94
| ~ spl23_139 ),
inference(resolution,[],[f1056,f777]) ).
fof(f1806,plain,
( ~ spl23_55
| ~ spl23_103
| spl23_259 ),
inference(avatar_split_clause,[],[f1793,f1788,f823,f561]) ).
fof(f823,plain,
( spl23_103
<=> ! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_103])]) ).
fof(f1793,plain,
( ~ l2_lattices(sK1)
| ~ spl23_103
| spl23_259 ),
inference(resolution,[],[f1790,f824]) ).
fof(f824,plain,
( ! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl23_103 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f1790,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl23_259 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1805,plain,
( spl23_262
| ~ spl23_138
| ~ spl23_171 ),
inference(avatar_split_clause,[],[f1273,f1266,f1051,f1803]) ).
fof(f1803,plain,
( spl23_262
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK9(X1),u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_262])]) ).
fof(f1273,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK9(X1),u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1) )
| ~ spl23_138
| ~ spl23_171 ),
inference(resolution,[],[f1267,f1052]) ).
fof(f1801,plain,
( spl23_261
| ~ spl23_104
| ~ spl23_162 ),
inference(avatar_split_clause,[],[f1209,f1191,f827,f1799]) ).
fof(f1799,plain,
( spl23_261
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l2_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_261])]) ).
fof(f1191,plain,
( spl23_162
<=> ! [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,[spl23_162])]) ).
fof(f1209,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l2_lattices(X1) )
| ~ spl23_104
| ~ spl23_162 ),
inference(resolution,[],[f1192,f828]) ).
fof(f1192,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl23_162 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1797,plain,
( spl23_260
| ~ spl23_102
| ~ spl23_162 ),
inference(avatar_split_clause,[],[f1208,f1191,f819,f1795]) ).
fof(f1795,plain,
( spl23_260
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_260])]) ).
fof(f1208,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_lattices(X1) )
| ~ spl23_102
| ~ spl23_162 ),
inference(resolution,[],[f1192,f820]) ).
fof(f1791,plain,
( ~ spl23_55
| ~ spl23_258
| ~ spl23_259
| ~ spl23_214
| spl23_215
| ~ spl23_104
| ~ spl23_159 ),
inference(avatar_split_clause,[],[f1782,f1177,f827,f1553,f1549,f1788,f1784,f561]) ).
fof(f1177,plain,
( spl23_159
<=> ! [X0] :
( ~ v2_binop_1(u2_lattices(sK1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_159])]) ).
fof(f1782,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v2_binop_1(u2_lattices(sK1),u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| ~ spl23_104
| ~ spl23_159 ),
inference(resolution,[],[f1178,f828]) ).
fof(f1178,plain,
( ! [X0] :
( ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v2_binop_1(u2_lattices(sK1),X0) )
| ~ spl23_159 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1781,plain,
( spl23_52
| ~ spl23_8
| ~ spl23_5
| ~ spl23_158
| spl23_257
| ~ spl23_9
| ~ spl23_12
| ~ spl23_184 ),
inference(avatar_split_clause,[],[f1363,f1360,f358,f343,f1779,f1173,f323,f338,f548]) ).
fof(f548,plain,
( spl23_52
<=> r1_lattice2(sK2,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
fof(f338,plain,
( spl23_8
<=> v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f323,plain,
( spl23_5
<=> v1_funct_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f1173,plain,
( spl23_158
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_158])]) ).
fof(f343,plain,
( spl23_9
<=> m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f358,plain,
( spl23_12
<=> k1_realset1(u2_lattices(sK1),sK2) = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f1360,plain,
( spl23_184
<=> ! [X0,X1] :
( ~ r1_lattice2(X0,X1,u1_lattices(sK1))
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK2))
| ~ v1_funct_2(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| r1_lattice2(sK2,k1_realset1(X1,sK2),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_184])]) ).
fof(f1363,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,u2_lattices(sK1),u1_lattices(sK1))
| r1_lattice2(sK2,sK3,sK4) )
| ~ spl23_12
| ~ spl23_184 ),
inference(superposition,[],[f1361,f360]) ).
fof(f360,plain,
( k1_realset1(u2_lattices(sK1),sK2) = sK3
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f1361,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK2))
| ~ v1_funct_2(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,X1,u1_lattices(sK1))
| r1_lattice2(sK2,k1_realset1(X1,sK2),sK4) )
| ~ spl23_184 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1777,plain,
( spl23_53
| ~ spl23_10
| ~ spl23_6
| ~ spl23_160
| spl23_256
| ~ spl23_11
| ~ spl23_13
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1357,f1353,f363,f353,f1775,f1182,f328,f348,f552]) ).
fof(f552,plain,
( spl23_53
<=> r1_lattice2(sK2,sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_53])]) ).
fof(f348,plain,
( spl23_10
<=> v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f328,plain,
( spl23_6
<=> v1_funct_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f1182,plain,
( spl23_160
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_160])]) ).
fof(f353,plain,
( spl23_11
<=> m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f363,plain,
( spl23_13
<=> k1_realset1(u1_lattices(sK1),sK2) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f1353,plain,
( spl23_183
<=> ! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK1))
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK2))
| ~ v1_funct_2(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ m2_relset_1(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| r1_lattice2(sK2,k1_realset1(X1,sK2),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_183])]) ).
fof(f1357,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,u1_lattices(sK1),u2_lattices(sK1))
| r1_lattice2(sK2,sK4,sK3) )
| ~ spl23_13
| ~ spl23_183 ),
inference(superposition,[],[f1354,f365]) ).
fof(f365,plain,
( k1_realset1(u1_lattices(sK1),sK2) = sK4
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f1354,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK2))
| ~ v1_funct_2(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,X1,u2_lattices(sK1))
| r1_lattice2(sK2,k1_realset1(X1,sK2),sK3) )
| ~ spl23_183 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1770,plain,
( spl23_135
| ~ spl23_255
| spl23_253
| ~ spl23_118
| ~ spl23_175 ),
inference(avatar_split_clause,[],[f1303,f1288,f912,f1754,f1767,f1037]) ).
fof(f1037,plain,
( spl23_135
<=> v3_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_135])]) ).
fof(f1767,plain,
( spl23_255
<=> v7_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_255])]) ).
fof(f1754,plain,
( spl23_253
<=> ! [X0] : k1_realset1(u1_lattices(sK16),X0) = k7_relat_1(u1_lattices(sK16),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_253])]) ).
fof(f912,plain,
( spl23_118
<=> l1_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_118])]) ).
fof(f1288,plain,
( spl23_175
<=> ! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_175])]) ).
fof(f1303,plain,
( ! [X0] :
( k1_realset1(u1_lattices(sK16),X0) = k7_relat_1(u1_lattices(sK16),k2_zfmisc_1(X0,X0))
| ~ v7_lattices(sK16)
| v3_struct_0(sK16) )
| ~ spl23_118
| ~ spl23_175 ),
inference(resolution,[],[f1289,f914]) ).
fof(f914,plain,
( l1_lattices(sK16)
| ~ spl23_118 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1289,plain,
( ! [X0,X1] :
( ~ l1_lattices(X0)
| k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ v7_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_175 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1765,plain,
( spl23_249
| ~ spl23_254
| spl23_251
| ~ spl23_17
| ~ spl23_175 ),
inference(avatar_split_clause,[],[f1301,f1288,f383,f1746,f1762,f1738]) ).
fof(f1738,plain,
( spl23_249
<=> v3_struct_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_249])]) ).
fof(f1762,plain,
( spl23_254
<=> v7_lattices(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_254])]) ).
fof(f1746,plain,
( spl23_251
<=> ! [X0] : k1_realset1(u1_lattices(sK15),X0) = k7_relat_1(u1_lattices(sK15),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_251])]) ).
fof(f383,plain,
( spl23_17
<=> l1_lattices(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f1301,plain,
( ! [X0] :
( k1_realset1(u1_lattices(sK15),X0) = k7_relat_1(u1_lattices(sK15),k2_zfmisc_1(X0,X0))
| ~ v7_lattices(sK15)
| v3_struct_0(sK15) )
| ~ spl23_17
| ~ spl23_175 ),
inference(resolution,[],[f1289,f385]) ).
fof(f385,plain,
( l1_lattices(sK15)
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1757,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_107
| spl23_214 ),
inference(avatar_split_clause,[],[f1563,f1549,f841,f333,f313,f308,f303]) ).
fof(f333,plain,
( spl23_7
<=> m2_lattice4(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f841,plain,
( spl23_107
<=> ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_107])]) ).
fof(f1563,plain,
( ~ m2_lattice4(sK2,sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_107
| spl23_214 ),
inference(resolution,[],[f1551,f842]) ).
fof(f842,plain,
( ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_107 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f1551,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl23_214 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1756,plain,
( spl23_135
| ~ spl23_252
| spl23_253
| ~ spl23_118
| ~ spl23_174 ),
inference(avatar_split_clause,[],[f1300,f1284,f912,f1754,f1750,f1037]) ).
fof(f1750,plain,
( spl23_252
<=> v6_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_252])]) ).
fof(f1284,plain,
( spl23_174
<=> ! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_174])]) ).
fof(f1300,plain,
( ! [X0] :
( k1_realset1(u1_lattices(sK16),X0) = k7_relat_1(u1_lattices(sK16),k2_zfmisc_1(X0,X0))
| ~ v6_lattices(sK16)
| v3_struct_0(sK16) )
| ~ spl23_118
| ~ spl23_174 ),
inference(resolution,[],[f1285,f914]) ).
fof(f1285,plain,
( ! [X0,X1] :
( ~ l1_lattices(X0)
| k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_174 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1748,plain,
( spl23_249
| ~ spl23_250
| spl23_251
| ~ spl23_17
| ~ spl23_174 ),
inference(avatar_split_clause,[],[f1298,f1284,f383,f1746,f1742,f1738]) ).
fof(f1742,plain,
( spl23_250
<=> v6_lattices(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_250])]) ).
fof(f1298,plain,
( ! [X0] :
( k1_realset1(u1_lattices(sK15),X0) = k7_relat_1(u1_lattices(sK15),k2_zfmisc_1(X0,X0))
| ~ v6_lattices(sK15)
| v3_struct_0(sK15) )
| ~ spl23_17
| ~ spl23_174 ),
inference(resolution,[],[f1285,f385]) ).
fof(f1736,plain,
( spl23_135
| ~ spl23_248
| spl23_246
| ~ spl23_119
| ~ spl23_173 ),
inference(avatar_split_clause,[],[f1297,f1280,f917,f1723,f1733,f1037]) ).
fof(f1733,plain,
( spl23_248
<=> v5_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_248])]) ).
fof(f1723,plain,
( spl23_246
<=> ! [X0] : k1_realset1(u2_lattices(sK16),X0) = k7_relat_1(u2_lattices(sK16),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_246])]) ).
fof(f917,plain,
( spl23_119
<=> l2_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_119])]) ).
fof(f1280,plain,
( spl23_173
<=> ! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_173])]) ).
fof(f1297,plain,
( ! [X0] :
( k1_realset1(u2_lattices(sK16),X0) = k7_relat_1(u2_lattices(sK16),k2_zfmisc_1(X0,X0))
| ~ v5_lattices(sK16)
| v3_struct_0(sK16) )
| ~ spl23_119
| ~ spl23_173 ),
inference(resolution,[],[f1281,f919]) ).
fof(f919,plain,
( l2_lattices(sK16)
| ~ spl23_119 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f1281,plain,
( ! [X0,X1] :
( ~ l2_lattices(X0)
| k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ v5_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_173 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1731,plain,
( spl23_242
| ~ spl23_247
| spl23_244
| ~ spl23_16
| ~ spl23_173 ),
inference(avatar_split_clause,[],[f1295,f1280,f378,f1715,f1728,f1707]) ).
fof(f1707,plain,
( spl23_242
<=> v3_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_242])]) ).
fof(f1728,plain,
( spl23_247
<=> v5_lattices(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_247])]) ).
fof(f1715,plain,
( spl23_244
<=> ! [X0] : k1_realset1(u2_lattices(sK14),X0) = k7_relat_1(u2_lattices(sK14),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_244])]) ).
fof(f378,plain,
( spl23_16
<=> l2_lattices(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f1295,plain,
( ! [X0] :
( k1_realset1(u2_lattices(sK14),X0) = k7_relat_1(u2_lattices(sK14),k2_zfmisc_1(X0,X0))
| ~ v5_lattices(sK14)
| v3_struct_0(sK14) )
| ~ spl23_16
| ~ spl23_173 ),
inference(resolution,[],[f1281,f380]) ).
fof(f380,plain,
( l2_lattices(sK14)
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f1726,plain,
( spl23_1
| ~ spl23_129
| ~ spl23_47
| ~ spl23_98
| spl23_212 ),
inference(avatar_split_clause,[],[f1557,f1541,f792,f523,f975,f303]) ).
fof(f975,plain,
( spl23_129
<=> v6_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_129])]) ).
fof(f792,plain,
( spl23_98
<=> ! [X0] :
( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_98])]) ).
fof(f1541,plain,
( spl23_212
<=> v1_binop_1(u1_lattices(sK1),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_212])]) ).
fof(f1557,plain,
( ~ l1_lattices(sK1)
| ~ v6_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_98
| spl23_212 ),
inference(resolution,[],[f1543,f793]) ).
fof(f793,plain,
( ! [X0] :
( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_98 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1543,plain,
( ~ v1_binop_1(u1_lattices(sK1),u1_struct_0(sK1))
| spl23_212 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1725,plain,
( spl23_135
| ~ spl23_245
| spl23_246
| ~ spl23_119
| ~ spl23_172 ),
inference(avatar_split_clause,[],[f1293,f1276,f917,f1723,f1719,f1037]) ).
fof(f1719,plain,
( spl23_245
<=> v4_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_245])]) ).
fof(f1276,plain,
( spl23_172
<=> ! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_172])]) ).
fof(f1293,plain,
( ! [X0] :
( k1_realset1(u2_lattices(sK16),X0) = k7_relat_1(u2_lattices(sK16),k2_zfmisc_1(X0,X0))
| ~ v4_lattices(sK16)
| v3_struct_0(sK16) )
| ~ spl23_119
| ~ spl23_172 ),
inference(resolution,[],[f1277,f919]) ).
fof(f1277,plain,
( ! [X0,X1] :
( ~ l2_lattices(X0)
| k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ v4_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_172 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1717,plain,
( spl23_242
| ~ spl23_243
| spl23_244
| ~ spl23_16
| ~ spl23_172 ),
inference(avatar_split_clause,[],[f1291,f1276,f378,f1715,f1711,f1707]) ).
fof(f1711,plain,
( spl23_243
<=> v4_lattices(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_243])]) ).
fof(f1291,plain,
( ! [X0] :
( k1_realset1(u2_lattices(sK14),X0) = k7_relat_1(u2_lattices(sK14),k2_zfmisc_1(X0,X0))
| ~ v4_lattices(sK14)
| v3_struct_0(sK14) )
| ~ spl23_16
| ~ spl23_172 ),
inference(resolution,[],[f1277,f380]) ).
fof(f1705,plain,
( spl23_241
| ~ spl23_63
| ~ spl23_167 ),
inference(avatar_split_clause,[],[f1240,f1223,f600,f1703]) ).
fof(f1703,plain,
( spl23_241
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_241])]) ).
fof(f1240,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl23_63
| ~ spl23_167 ),
inference(resolution,[],[f1224,f601]) ).
fof(f1701,plain,
( spl23_240
| ~ spl23_104
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1169,f1163,f827,f1699]) ).
fof(f1699,plain,
( spl23_240
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_240])]) ).
fof(f1163,plain,
( spl23_157
<=> ! [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,[spl23_157])]) ).
fof(f1169,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl23_104
| ~ spl23_157 ),
inference(resolution,[],[f1164,f828]) ).
fof(f1164,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl23_157 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1697,plain,
( spl23_239
| ~ spl23_102
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1168,f1163,f819,f1695]) ).
fof(f1695,plain,
( spl23_239
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_239])]) ).
fof(f1168,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl23_102
| ~ spl23_157 ),
inference(resolution,[],[f1164,f820]) ).
fof(f1688,plain,
( spl23_238
| ~ spl23_138
| ~ spl23_170 ),
inference(avatar_split_clause,[],[f1263,f1235,f1051,f1686]) ).
fof(f1235,plain,
( spl23_170
<=> ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_170])]) ).
fof(f1263,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1) )
| ~ spl23_138
| ~ spl23_170 ),
inference(resolution,[],[f1236,f1052]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ m2_lattice4(X0,X1) )
| ~ spl23_170 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1684,plain,
( spl23_237
| ~ spl23_63
| ~ spl23_166 ),
inference(avatar_split_clause,[],[f1221,f1216,f600,f1682]) ).
fof(f1682,plain,
( spl23_237
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_237])]) ).
fof(f1221,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK8(X0)) )
| ~ spl23_63
| ~ spl23_166 ),
inference(resolution,[],[f1217,f601]) ).
fof(f1664,plain,
( spl23_236
| ~ spl23_28
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1257,f1231,f438,f1662]) ).
fof(f1662,plain,
( spl23_236
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK22,X0),X1) = k7_relat_1(k7_relat_1(sK22,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_236])]) ).
fof(f438,plain,
( spl23_28
<=> v1_relat_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f1257,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK22,X0),X1) = k7_relat_1(k7_relat_1(sK22,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_28
| ~ spl23_169 ),
inference(resolution,[],[f1232,f440]) ).
fof(f440,plain,
( v1_relat_1(sK22)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f1660,plain,
( ~ spl23_235
| ~ spl23_70
| spl23_214 ),
inference(avatar_split_clause,[],[f1564,f1549,f631,f1657]) ).
fof(f1657,plain,
( spl23_235
<=> r1_tarski(sK2,u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_235])]) ).
fof(f631,plain,
( spl23_70
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_70])]) ).
fof(f1564,plain,
( ~ r1_tarski(sK2,u1_struct_0(sK1))
| ~ spl23_70
| spl23_214 ),
inference(resolution,[],[f1551,f632]) ).
fof(f632,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl23_70 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1655,plain,
( spl23_234
| ~ spl23_26
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1256,f1231,f428,f1653]) ).
fof(f1653,plain,
( spl23_234
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK21,X0),X1) = k7_relat_1(k7_relat_1(sK21,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_234])]) ).
fof(f428,plain,
( spl23_26
<=> v1_relat_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f1256,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK21,X0),X1) = k7_relat_1(k7_relat_1(sK21,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_26
| ~ spl23_169 ),
inference(resolution,[],[f1232,f430]) ).
fof(f430,plain,
( v1_relat_1(sK21)
| ~ spl23_26 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f1651,plain,
( spl23_233
| ~ spl23_122
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1254,f1231,f933,f1649]) ).
fof(f1649,plain,
( spl23_233
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK18,X0),X1) = k7_relat_1(k7_relat_1(sK18,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_233])]) ).
fof(f933,plain,
( spl23_122
<=> v1_relat_1(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_122])]) ).
fof(f1254,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK18,X0),X1) = k7_relat_1(k7_relat_1(sK18,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_122
| ~ spl23_169 ),
inference(resolution,[],[f1232,f935]) ).
fof(f935,plain,
( v1_relat_1(sK18)
| ~ spl23_122 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1647,plain,
( spl23_232
| ~ spl23_28
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1248,f1227,f438,f1645]) ).
fof(f1645,plain,
( spl23_232
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK22,X0),X1) = k7_relat_1(k1_realset1(sK22,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_232])]) ).
fof(f1248,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK22,X0),X1) = k7_relat_1(k1_realset1(sK22,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_28
| ~ spl23_168 ),
inference(resolution,[],[f1228,f440]) ).
fof(f1643,plain,
( spl23_231
| ~ spl23_26
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1247,f1227,f428,f1641]) ).
fof(f1641,plain,
( spl23_231
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK21,X0),X1) = k7_relat_1(k1_realset1(sK21,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_231])]) ).
fof(f1247,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK21,X0),X1) = k7_relat_1(k1_realset1(sK21,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_26
| ~ spl23_168 ),
inference(resolution,[],[f1228,f430]) ).
fof(f1639,plain,
( spl23_230
| ~ spl23_122
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1245,f1227,f933,f1637]) ).
fof(f1637,plain,
( spl23_230
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK18,X0),X1) = k7_relat_1(k1_realset1(sK18,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_230])]) ).
fof(f1245,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK18,X0),X1) = k7_relat_1(k1_realset1(sK18,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_122
| ~ spl23_168 ),
inference(resolution,[],[f1228,f935]) ).
fof(f1635,plain,
( spl23_229
| ~ spl23_138
| ~ spl23_163 ),
inference(avatar_split_clause,[],[f1212,f1195,f1051,f1633]) ).
fof(f1633,plain,
( spl23_229
<=> ! [X0] :
( m1_subset_1(sK9(sK8(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_229])]) ).
fof(f1195,plain,
( spl23_163
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK8(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_163])]) ).
fof(f1212,plain,
( ! [X0] :
( m1_subset_1(sK9(sK8(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK8(X0)) )
| ~ spl23_138
| ~ spl23_163 ),
inference(resolution,[],[f1196,f1052]) ).
fof(f1196,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK8(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl23_163 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1631,plain,
( spl23_227
| ~ spl23_10
| ~ spl23_6
| ~ spl23_160
| spl23_228
| ~ spl23_11
| ~ spl23_13
| ~ spl23_184 ),
inference(avatar_split_clause,[],[f1365,f1360,f363,f353,f1629,f1182,f328,f348,f1625]) ).
fof(f1625,plain,
( spl23_227
<=> r1_lattice2(sK2,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_227])]) ).
fof(f1629,plain,
( spl23_228
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r1_lattice2(X0,u1_lattices(sK1),u1_lattices(sK1))
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_228])]) ).
fof(f1365,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,u1_lattices(sK1),u1_lattices(sK1))
| r1_lattice2(sK2,sK4,sK4) )
| ~ spl23_13
| ~ spl23_184 ),
inference(duplicate_literal_removal,[],[f1364]) ).
fof(f1364,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,u1_lattices(sK1),u1_lattices(sK1))
| r1_lattice2(sK2,sK4,sK4) )
| ~ spl23_13
| ~ spl23_184 ),
inference(superposition,[],[f1361,f365]) ).
fof(f1623,plain,
( ~ spl23_47
| ~ spl23_101
| spl23_213 ),
inference(avatar_split_clause,[],[f1566,f1545,f815,f523]) ).
fof(f815,plain,
( spl23_101
<=> ! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_101])]) ).
fof(f1566,plain,
( ~ l1_lattices(sK1)
| ~ spl23_101
| spl23_213 ),
inference(resolution,[],[f1547,f816]) ).
fof(f816,plain,
( ! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl23_101 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1547,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl23_213 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1622,plain,
( spl23_225
| ~ spl23_8
| ~ spl23_5
| ~ spl23_158
| spl23_226
| ~ spl23_9
| ~ spl23_12
| ~ spl23_183 ),
inference(avatar_split_clause,[],[f1358,f1353,f358,f343,f1620,f1173,f323,f338,f1616]) ).
fof(f1616,plain,
( spl23_225
<=> r1_lattice2(sK2,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_225])]) ).
fof(f1620,plain,
( spl23_226
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r1_lattice2(X0,u2_lattices(sK1),u2_lattices(sK1))
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_226])]) ).
fof(f1358,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,u2_lattices(sK1),u2_lattices(sK1))
| r1_lattice2(sK2,sK3,sK3) )
| ~ spl23_12
| ~ spl23_183 ),
inference(duplicate_literal_removal,[],[f1356]) ).
fof(f1356,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,u2_lattices(sK1),u2_lattices(sK1))
| r1_lattice2(sK2,sK3,sK3) )
| ~ spl23_12
| ~ spl23_183 ),
inference(superposition,[],[f1354,f360]) ).
fof(f1600,plain,
( spl23_224
| ~ spl23_141
| ~ spl23_162 ),
inference(avatar_split_clause,[],[f1211,f1191,f1063,f1598]) ).
fof(f1063,plain,
( spl23_141
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_141])]) ).
fof(f1211,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl23_141
| ~ spl23_162 ),
inference(resolution,[],[f1192,f1064]) ).
fof(f1064,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl23_141 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1596,plain,
( spl23_223
| ~ spl23_66
| ~ spl23_162 ),
inference(avatar_split_clause,[],[f1210,f1191,f612,f1594]) ).
fof(f612,plain,
( spl23_66
<=> ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_66])]) ).
fof(f1210,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl23_66
| ~ spl23_162 ),
inference(resolution,[],[f1192,f613]) ).
fof(f613,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl23_66 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f1592,plain,
( spl23_222
| ~ spl23_63
| ~ spl23_156 ),
inference(avatar_split_clause,[],[f1161,f1153,f600,f1590]) ).
fof(f1590,plain,
( spl23_222
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_222])]) ).
fof(f1161,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X0)) )
| ~ spl23_63
| ~ spl23_156 ),
inference(resolution,[],[f1154,f601]) ).
fof(f1588,plain,
( spl23_221
| ~ spl23_63
| ~ spl23_155 ),
inference(avatar_split_clause,[],[f1158,f1149,f600,f1586]) ).
fof(f1586,plain,
( spl23_221
<=> ! [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,[spl23_221])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl23_63
| ~ spl23_155 ),
inference(resolution,[],[f1150,f601]) ).
fof(f1584,plain,
( spl23_220
| ~ spl23_138
| ~ spl23_151 ),
inference(avatar_split_clause,[],[f1141,f1124,f1051,f1582]) ).
fof(f1124,plain,
( spl23_151
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_151])]) ).
fof(f1141,plain,
( ! [X0] :
( m1_subset_1(sK9(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl23_138
| ~ spl23_151 ),
inference(resolution,[],[f1125,f1052]) ).
fof(f1125,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl23_151 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1580,plain,
( spl23_219
| ~ spl23_138
| ~ spl23_148 ),
inference(avatar_split_clause,[],[f1114,f1110,f1051,f1578]) ).
fof(f1110,plain,
( spl23_148
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK9(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_148])]) ).
fof(f1114,plain,
( ! [X0] :
( m1_subset_1(sK9(sK9(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) )
| ~ spl23_138
| ~ spl23_148 ),
inference(resolution,[],[f1111,f1052]) ).
fof(f1111,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK9(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl23_148 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1574,plain,
( spl23_218
| ~ spl23_141
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1171,f1163,f1063,f1572]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK11(X0,X1)) )
| ~ spl23_141
| ~ spl23_157 ),
inference(resolution,[],[f1164,f1064]) ).
fof(f1570,plain,
( spl23_217
| ~ spl23_66
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1170,f1163,f612,f1568]) ).
fof(f1170,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK12(X0,X1)) )
| ~ spl23_66
| ~ spl23_157 ),
inference(resolution,[],[f1164,f613]) ).
fof(f1562,plain,
( spl23_216
| ~ spl23_138
| ~ spl23_186 ),
inference(avatar_split_clause,[],[f1522,f1376,f1051,f1559]) ).
fof(f1559,plain,
( spl23_216
<=> v1_xboole_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_216])]) ).
fof(f1376,plain,
( spl23_186
<=> ! [X0] : ~ r2_hidden(X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_186])]) ).
fof(f1522,plain,
( v1_xboole_0(sK3)
| ~ spl23_138
| ~ spl23_186 ),
inference(resolution,[],[f1377,f1052]) ).
fof(f1377,plain,
( ! [X0] : ~ r2_hidden(X0,sK3)
| ~ spl23_186 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1556,plain,
( ~ spl23_47
| ~ spl23_212
| ~ spl23_213
| ~ spl23_214
| spl23_215
| ~ spl23_102
| ~ spl23_182 ),
inference(avatar_split_clause,[],[f1351,f1348,f819,f1553,f1549,f1545,f1541,f523]) ).
fof(f1348,plain,
( spl23_182
<=> ! [X0] :
( ~ v1_binop_1(u1_lattices(sK1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_182])]) ).
fof(f1351,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_binop_1(u1_lattices(sK1),u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| ~ spl23_102
| ~ spl23_182 ),
inference(resolution,[],[f1349,f820]) ).
fof(f1349,plain,
( ! [X0] :
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_binop_1(u1_lattices(sK1),X0) )
| ~ spl23_182 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1536,plain,
( spl23_211
| ~ spl23_138
| ~ spl23_146 ),
inference(avatar_split_clause,[],[f1104,f1097,f1051,f1534]) ).
fof(f1097,plain,
( spl23_146
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK9(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_146])]) ).
fof(f1104,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK9(k1_zfmisc_1(X0))) )
| ~ spl23_138
| ~ spl23_146 ),
inference(resolution,[],[f1098,f1052]) ).
fof(f1098,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK9(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl23_146 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1532,plain,
( spl23_210
| ~ spl23_187
| ~ spl23_11
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1167,f1163,f353,f1379,f1530]) ).
fof(f1530,plain,
( spl23_210
<=> ! [X0] : ~ r2_hidden(X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_210])]) ).
fof(f1167,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| ~ r2_hidden(X0,sK4) )
| ~ spl23_11
| ~ spl23_157 ),
inference(resolution,[],[f1164,f355]) ).
fof(f355,plain,
( m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f1521,plain,
( spl23_187
| spl23_209
| ~ spl23_74
| ~ spl23_190 ),
inference(avatar_split_clause,[],[f1403,f1396,f654,f1519,f1379]) ).
fof(f1519,plain,
( spl23_209
<=> ! [X0] :
( ~ r2_hidden(X0,sK3)
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_209])]) ).
fof(f1396,plain,
( spl23_190
<=> ! [X0] :
( ~ r2_hidden(X0,sK3)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_190])]) ).
fof(f1403,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) )
| ~ spl23_74
| ~ spl23_190 ),
inference(resolution,[],[f1397,f655]) ).
fof(f1397,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| ~ r2_hidden(X0,sK3) )
| ~ spl23_190 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1517,plain,
( spl23_208
| ~ spl23_63
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f1072,f1051,f600,f1515]) ).
fof(f1515,plain,
( spl23_208
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_208])]) ).
fof(f1072,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK9(X0)) )
| ~ spl23_63
| ~ spl23_138 ),
inference(resolution,[],[f1052,f601]) ).
fof(f1507,plain,
( spl23_207
| ~ spl23_104
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1085,f1067,f827,f1505]) ).
fof(f1067,plain,
( spl23_142
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_142])]) ).
fof(f1085,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl23_104
| ~ spl23_142 ),
inference(resolution,[],[f1068,f828]) ).
fof(f1068,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl23_142 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1503,plain,
( spl23_206
| ~ spl23_102
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1084,f1067,f819,f1501]) ).
fof(f1084,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl23_102
| ~ spl23_142 ),
inference(resolution,[],[f1068,f820]) ).
fof(f1486,plain,
( spl23_205
| ~ spl23_32
| ~ spl23_145 ),
inference(avatar_split_clause,[],[f1103,f1093,f456,f1484]) ).
fof(f456,plain,
( spl23_32
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f1093,plain,
( spl23_145
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_145])]) ).
fof(f1103,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl23_32
| ~ spl23_145 ),
inference(resolution,[],[f1094,f457]) ).
fof(f457,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f1094,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl23_145 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1482,plain,
( spl23_204
| ~ spl23_141
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1087,f1067,f1063,f1480]) ).
fof(f1087,plain,
( ! [X0,X1] : v1_relat_1(sK11(X0,X1))
| ~ spl23_141
| ~ spl23_142 ),
inference(resolution,[],[f1068,f1064]) ).
fof(f1478,plain,
( spl23_203
| ~ spl23_66
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1086,f1067,f612,f1476]) ).
fof(f1086,plain,
( ! [X0,X1] : v1_relat_1(sK12(X0,X1))
| ~ spl23_66
| ~ spl23_142 ),
inference(resolution,[],[f1068,f613]) ).
fof(f1474,plain,
( spl23_202
| ~ spl23_59
| ~ spl23_128 ),
inference(avatar_split_clause,[],[f979,f971,f578,f1472]) ).
fof(f1472,plain,
( spl23_202
<=> ! [X0] : m1_subset_1(sK18,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_202])]) ).
fof(f578,plain,
( spl23_59
<=> ! [X0] : m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
fof(f971,plain,
( spl23_128
<=> ! [X0] : sK10(X0) = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_128])]) ).
fof(f979,plain,
( ! [X0] : m1_subset_1(sK18,k1_zfmisc_1(X0))
| ~ spl23_59
| ~ spl23_128 ),
inference(superposition,[],[f579,f972]) ).
fof(f972,plain,
( ! [X0] : sK10(X0) = sK18
| ~ spl23_128 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f579,plain,
( ! [X0] : m1_subset_1(sK10(X0),k1_zfmisc_1(X0))
| ~ spl23_59 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f1458,plain,
( spl23_201
| ~ spl23_99
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1368,f1227,f806,f1456]) ).
fof(f1456,plain,
( spl23_201
<=> ! [X0,X1] : k1_realset1(k1_realset1(u1_lattices(sK1),X0),X1) = k7_relat_1(k1_realset1(u1_lattices(sK1),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_201])]) ).
fof(f1368,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(u1_lattices(sK1),X0),X1) = k7_relat_1(k1_realset1(u1_lattices(sK1),X0),k2_zfmisc_1(X1,X1))
| ~ spl23_99
| ~ spl23_168 ),
inference(resolution,[],[f807,f1228]) ).
fof(f1454,plain,
( spl23_200
| ~ spl23_99
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1367,f1231,f806,f1452]) ).
fof(f1452,plain,
( spl23_200
<=> ! [X0,X1] : k1_realset1(k7_relat_1(u1_lattices(sK1),X0),X1) = k7_relat_1(k7_relat_1(u1_lattices(sK1),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_200])]) ).
fof(f1367,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(u1_lattices(sK1),X0),X1) = k7_relat_1(k7_relat_1(u1_lattices(sK1),X0),k2_zfmisc_1(X1,X1))
| ~ spl23_99
| ~ spl23_169 ),
inference(resolution,[],[f807,f1232]) ).
fof(f1450,plain,
( spl23_199
| ~ spl23_82
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1345,f1227,f706,f1448]) ).
fof(f1448,plain,
( spl23_199
<=> ! [X0,X1] : k1_realset1(k1_realset1(u2_lattices(sK1),X0),X1) = k7_relat_1(k1_realset1(u2_lattices(sK1),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_199])]) ).
fof(f1345,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(u2_lattices(sK1),X0),X1) = k7_relat_1(k1_realset1(u2_lattices(sK1),X0),k2_zfmisc_1(X1,X1))
| ~ spl23_82
| ~ spl23_168 ),
inference(resolution,[],[f707,f1228]) ).
fof(f1446,plain,
( spl23_198
| ~ spl23_82
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1344,f1231,f706,f1444]) ).
fof(f1444,plain,
( spl23_198
<=> ! [X0,X1] : k1_realset1(k7_relat_1(u2_lattices(sK1),X0),X1) = k7_relat_1(k7_relat_1(u2_lattices(sK1),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_198])]) ).
fof(f1344,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(u2_lattices(sK1),X0),X1) = k7_relat_1(k7_relat_1(u2_lattices(sK1),X0),k2_zfmisc_1(X1,X1))
| ~ spl23_82
| ~ spl23_169 ),
inference(resolution,[],[f707,f1232]) ).
fof(f1432,plain,
( spl23_197
| ~ spl23_100
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1319,f1227,f810,f1430]) ).
fof(f1430,plain,
( spl23_197
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK4,X0),X1) = k7_relat_1(k1_realset1(sK4,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_197])]) ).
fof(f1319,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK4,X0),X1) = k7_relat_1(k1_realset1(sK4,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_100
| ~ spl23_168 ),
inference(resolution,[],[f812,f1228]) ).
fof(f1428,plain,
( spl23_196
| ~ spl23_100
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1318,f1231,f810,f1426]) ).
fof(f1426,plain,
( spl23_196
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK4,X0),X1) = k7_relat_1(k7_relat_1(sK4,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_196])]) ).
fof(f1318,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK4,X0),X1) = k7_relat_1(k7_relat_1(sK4,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_100
| ~ spl23_169 ),
inference(resolution,[],[f812,f1232]) ).
fof(f1424,plain,
( spl23_195
| ~ spl23_83
| ~ spl23_168 ),
inference(avatar_split_clause,[],[f1315,f1227,f710,f1422]) ).
fof(f1422,plain,
( spl23_195
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK3,X0),X1) = k7_relat_1(k1_realset1(sK3,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_195])]) ).
fof(f1315,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK3,X0),X1) = k7_relat_1(k1_realset1(sK3,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_83
| ~ spl23_168 ),
inference(resolution,[],[f712,f1228]) ).
fof(f1420,plain,
( spl23_194
| ~ spl23_83
| ~ spl23_169 ),
inference(avatar_split_clause,[],[f1314,f1231,f710,f1418]) ).
fof(f1418,plain,
( spl23_194
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK3,X0),X1) = k7_relat_1(k7_relat_1(sK3,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_194])]) ).
fof(f1314,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK3,X0),X1) = k7_relat_1(k7_relat_1(sK3,X0),k2_zfmisc_1(X1,X1))
| ~ spl23_83
| ~ spl23_169 ),
inference(resolution,[],[f712,f1232]) ).
fof(f1412,plain,
( spl23_193
| ~ spl23_94
| ~ spl23_99 ),
inference(avatar_split_clause,[],[f1369,f806,f776,f1410]) ).
fof(f1410,plain,
( spl23_193
<=> ! [X0] : k1_realset1(u1_lattices(sK1),X0) = k7_relat_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_193])]) ).
fof(f1369,plain,
( ! [X0] : k1_realset1(u1_lattices(sK1),X0) = k7_relat_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0))
| ~ spl23_94
| ~ spl23_99 ),
inference(resolution,[],[f807,f777]) ).
fof(f1408,plain,
( spl23_192
| ~ spl23_82
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f1346,f776,f706,f1406]) ).
fof(f1406,plain,
( spl23_192
<=> ! [X0] : k1_realset1(u2_lattices(sK1),X0) = k7_relat_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_192])]) ).
fof(f1346,plain,
( ! [X0] : k1_realset1(u2_lattices(sK1),X0) = k7_relat_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0))
| ~ spl23_82
| ~ spl23_94 ),
inference(resolution,[],[f707,f777]) ).
fof(f1402,plain,
( spl23_191
| ~ spl23_11
| ~ spl23_162 ),
inference(avatar_split_clause,[],[f1207,f1191,f353,f1400]) ).
fof(f1207,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) )
| ~ spl23_11
| ~ spl23_162 ),
inference(resolution,[],[f1192,f355]) ).
fof(f1398,plain,
( spl23_190
| ~ spl23_9
| ~ spl23_162 ),
inference(avatar_split_clause,[],[f1206,f1191,f343,f1396]) ).
fof(f1206,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2)) )
| ~ spl23_9
| ~ spl23_162 ),
inference(resolution,[],[f1192,f345]) ).
fof(f345,plain,
( m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f1390,plain,
( spl23_189
| ~ spl23_94
| ~ spl23_100 ),
inference(avatar_split_clause,[],[f1320,f810,f776,f1388]) ).
fof(f1388,plain,
( spl23_189
<=> ! [X0] : k1_realset1(sK4,X0) = k7_relat_1(sK4,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_189])]) ).
fof(f1320,plain,
( ! [X0] : k1_realset1(sK4,X0) = k7_relat_1(sK4,k2_zfmisc_1(X0,X0))
| ~ spl23_94
| ~ spl23_100 ),
inference(resolution,[],[f812,f777]) ).
fof(f1386,plain,
( spl23_188
| ~ spl23_83
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f1316,f776,f710,f1384]) ).
fof(f1384,plain,
( spl23_188
<=> ! [X0] : k1_realset1(sK3,X0) = k7_relat_1(sK3,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_188])]) ).
fof(f1316,plain,
( ! [X0] : k1_realset1(sK3,X0) = k7_relat_1(sK3,k2_zfmisc_1(X0,X0))
| ~ spl23_83
| ~ spl23_94 ),
inference(resolution,[],[f712,f777]) ).
fof(f1382,plain,
( spl23_186
| ~ spl23_187
| ~ spl23_9
| ~ spl23_157 ),
inference(avatar_split_clause,[],[f1166,f1163,f343,f1379,f1376]) ).
fof(f1166,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK2,sK2),sK2))
| ~ r2_hidden(X0,sK3) )
| ~ spl23_9
| ~ spl23_157 ),
inference(resolution,[],[f1164,f345]) ).
fof(f1374,plain,
( spl23_185
| ~ spl23_33
| ~ spl23_118 ),
inference(avatar_split_clause,[],[f937,f912,f460,f1371]) ).
fof(f1371,plain,
( spl23_185
<=> l1_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_185])]) ).
fof(f460,plain,
( spl23_33
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
fof(f937,plain,
( l1_struct_0(sK16)
| ~ spl23_33
| ~ spl23_118 ),
inference(resolution,[],[f914,f461]) ).
fof(f461,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) )
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f1366,plain,
( spl23_1
| ~ spl23_129
| ~ spl23_47
| ~ spl23_86
| spl23_99 ),
inference(avatar_split_clause,[],[f863,f806,f723,f523,f975,f303]) ).
fof(f723,plain,
( spl23_86
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_86])]) ).
fof(f863,plain,
( ~ l1_lattices(sK1)
| ~ v6_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl23_86
| spl23_99 ),
inference(resolution,[],[f808,f724]) ).
fof(f724,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_86 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f808,plain,
( ~ v1_relat_1(u1_lattices(sK1))
| spl23_99 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1362,plain,
( spl23_4
| ~ spl23_160
| ~ spl23_6
| ~ spl23_10
| spl23_184
| ~ spl23_11
| ~ spl23_13
| ~ spl23_112 ),
inference(avatar_split_clause,[],[f876,f872,f363,f353,f1360,f348,f328,f1182,f318]) ).
fof(f318,plain,
( spl23_4
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f872,plain,
( spl23_112
<=> ! [X0,X3,X2,X1] :
( r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r1_lattice2(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_112])]) ).
fof(f876,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,X1,u1_lattices(sK1))
| r1_lattice2(sK2,k1_realset1(X1,sK2),sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(k1_realset1(X1,sK2))
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_13
| ~ spl23_112 ),
inference(superposition,[],[f873,f365]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ r1_lattice2(X0,X2,X3)
| r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl23_112 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f1355,plain,
( spl23_4
| ~ spl23_158
| ~ spl23_5
| ~ spl23_8
| spl23_183
| ~ spl23_9
| ~ spl23_12
| ~ spl23_112 ),
inference(avatar_split_clause,[],[f875,f872,f358,f343,f1353,f338,f323,f1173,f318]) ).
fof(f875,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ r1_lattice2(X0,X1,u2_lattices(sK1))
| r1_lattice2(sK2,k1_realset1(X1,sK2),sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_2(k1_realset1(X1,sK2),k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(k1_realset1(X1,sK2))
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_12
| ~ spl23_112 ),
inference(superposition,[],[f873,f360]) ).
fof(f1350,plain,
( spl23_4
| ~ spl23_160
| ~ spl23_6
| ~ spl23_10
| spl23_50
| spl23_182
| ~ spl23_11
| ~ spl23_13
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f870,f860,f363,f353,f1348,f540,f348,f328,f1182,f318]) ).
fof(f540,plain,
( spl23_50
<=> v1_binop_1(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_50])]) ).
fof(f860,plain,
( spl23_111
<=> ! [X2,X0,X1] :
( v1_binop_1(k1_realset1(X2,X1),X1)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_111])]) ).
fof(f870,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_binop_1(u1_lattices(sK1),X0)
| v1_binop_1(sK4,sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_13
| ~ spl23_111 ),
inference(superposition,[],[f861,f365]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k1_realset1(X2,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl23_111 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1343,plain,
( spl23_1
| ~ spl23_116
| ~ spl23_55
| spl23_82
| ~ spl23_85 ),
inference(avatar_split_clause,[],[f765,f719,f706,f561,f901,f303]) ).
fof(f719,plain,
( spl23_85
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_85])]) ).
fof(f765,plain,
( ~ l2_lattices(sK1)
| ~ v4_lattices(sK1)
| v3_struct_0(sK1)
| spl23_82
| ~ spl23_85 ),
inference(resolution,[],[f708,f720]) ).
fof(f720,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_85 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f708,plain,
( ~ v1_relat_1(u2_lattices(sK1))
| spl23_82 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f1342,plain,
( spl23_4
| ~ spl23_158
| ~ spl23_5
| ~ spl23_8
| spl23_48
| spl23_181
| ~ spl23_9
| ~ spl23_12
| ~ spl23_111 ),
inference(avatar_split_clause,[],[f869,f860,f358,f343,f1340,f532,f338,f323,f1173,f318]) ).
fof(f532,plain,
( spl23_48
<=> v1_binop_1(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f869,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_binop_1(u2_lattices(sK1),X0)
| v1_binop_1(sK3,sK2)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_12
| ~ spl23_111 ),
inference(superposition,[],[f861,f360]) ).
fof(f1338,plain,
( spl23_4
| ~ spl23_160
| ~ spl23_6
| ~ spl23_10
| spl23_179
| spl23_180
| ~ spl23_11
| ~ spl23_13
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f868,f856,f363,f353,f1336,f1332,f348,f328,f1182,f318]) ).
fof(f1332,plain,
( spl23_179
<=> v3_binop_1(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_179])]) ).
fof(f1336,plain,
( spl23_180
<=> ! [X0] :
( ~ v3_binop_1(u1_lattices(sK1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_180])]) ).
fof(f856,plain,
( spl23_110
<=> ! [X2,X0,X1] :
( v3_binop_1(k1_realset1(X2,X1),X1)
| ~ v3_binop_1(X2,X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_110])]) ).
fof(f868,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v3_binop_1(u1_lattices(sK1),X0)
| v3_binop_1(sK4,sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_13
| ~ spl23_110 ),
inference(superposition,[],[f857,f365]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v3_binop_1(X2,X0)
| v3_binop_1(k1_realset1(X2,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl23_110 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1330,plain,
( spl23_4
| ~ spl23_158
| ~ spl23_5
| ~ spl23_8
| spl23_177
| spl23_178
| ~ spl23_9
| ~ spl23_12
| ~ spl23_110 ),
inference(avatar_split_clause,[],[f867,f856,f358,f343,f1328,f1324,f338,f323,f1173,f318]) ).
fof(f1324,plain,
( spl23_177
<=> v3_binop_1(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_177])]) ).
fof(f1328,plain,
( spl23_178
<=> ! [X0] :
( ~ v3_binop_1(u2_lattices(sK1),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_178])]) ).
fof(f867,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v3_binop_1(u2_lattices(sK1),X0)
| v3_binop_1(sK3,sK2)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_12
| ~ spl23_110 ),
inference(superposition,[],[f857,f360]) ).
fof(f1322,plain,
( ~ spl23_47
| ~ spl23_56
| spl23_160 ),
inference(avatar_split_clause,[],[f1189,f1182,f566,f523]) ).
fof(f566,plain,
( spl23_56
<=> ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_56])]) ).
fof(f1189,plain,
( ~ l1_lattices(sK1)
| ~ spl23_56
| spl23_160 ),
inference(resolution,[],[f1184,f567]) ).
fof(f567,plain,
( ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1184,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl23_160 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1321,plain,
( ~ spl23_55
| ~ spl23_57
| spl23_158 ),
inference(avatar_split_clause,[],[f1180,f1173,f570,f561]) ).
fof(f570,plain,
( spl23_57
<=> ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_57])]) ).
fof(f1180,plain,
( ~ l2_lattices(sK1)
| ~ spl23_57
| spl23_158 ),
inference(resolution,[],[f1175,f571]) ).
fof(f571,plain,
( ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl23_57 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1175,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl23_158 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1317,plain,
( spl23_100
| ~ spl23_11
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1083,f1067,f353,f810]) ).
fof(f1083,plain,
( v1_relat_1(sK4)
| ~ spl23_11
| ~ spl23_142 ),
inference(resolution,[],[f1068,f355]) ).
fof(f1313,plain,
( spl23_83
| ~ spl23_9
| ~ spl23_142 ),
inference(avatar_split_clause,[],[f1082,f1067,f343,f710]) ).
fof(f1082,plain,
( v1_relat_1(sK3)
| ~ spl23_9
| ~ spl23_142 ),
inference(resolution,[],[f1068,f345]) ).
fof(f1307,plain,
( spl23_176
| ~ spl23_74
| ~ spl23_107 ),
inference(avatar_split_clause,[],[f846,f841,f654,f1305]) ).
fof(f846,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl23_74
| ~ spl23_107 ),
inference(resolution,[],[f842,f655]) ).
fof(f1290,plain,
( spl23_175
| ~ spl23_81
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f799,f776,f702,f1288]) ).
fof(f702,plain,
( spl23_81
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_81])]) ).
fof(f799,plain,
( ! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_81
| ~ spl23_94 ),
inference(resolution,[],[f777,f703]) ).
fof(f703,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_81 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f1286,plain,
( spl23_174
| ~ spl23_86
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f798,f776,f723,f1284]) ).
fof(f798,plain,
( ! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_86
| ~ spl23_94 ),
inference(resolution,[],[f777,f724]) ).
fof(f1282,plain,
( spl23_173
| ~ spl23_84
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f796,f776,f715,f1280]) ).
fof(f715,plain,
( spl23_84
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_84])]) ).
fof(f796,plain,
( ! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_84
| ~ spl23_94 ),
inference(resolution,[],[f777,f716]) ).
fof(f716,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_84 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f1278,plain,
( spl23_172
| ~ spl23_85
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f795,f776,f719,f1276]) ).
fof(f795,plain,
( ! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) )
| ~ spl23_85
| ~ spl23_94 ),
inference(resolution,[],[f777,f720]) ).
fof(f1268,plain,
( spl23_171
| ~ spl23_93
| ~ spl23_107 ),
inference(avatar_split_clause,[],[f844,f841,f757,f1266]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl23_93
| ~ spl23_107 ),
inference(resolution,[],[f842,f758]) ).
fof(f1237,plain,
( spl23_170
| ~ spl23_88
| ~ spl23_107 ),
inference(avatar_split_clause,[],[f845,f841,f731,f1235]) ).
fof(f731,plain,
( spl23_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,[spl23_88])]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl23_88
| ~ spl23_107 ),
inference(resolution,[],[f842,f732]) ).
fof(f732,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl23_88 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1233,plain,
( spl23_169
| ~ spl23_61
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f800,f776,f592,f1231]) ).
fof(f800,plain,
( ! [X2,X0,X1] :
( k1_realset1(k7_relat_1(X0,X1),X2) = k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) )
| ~ spl23_61
| ~ spl23_94 ),
inference(resolution,[],[f777,f593]) ).
fof(f1229,plain,
( spl23_168
| ~ spl23_62
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f797,f776,f596,f1227]) ).
fof(f797,plain,
( ! [X2,X0,X1] :
( k1_realset1(k1_realset1(X0,X1),X2) = k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) )
| ~ spl23_62
| ~ spl23_94 ),
inference(resolution,[],[f777,f597]) ).
fof(f1225,plain,
( spl23_167
| ~ spl23_74
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f764,f753,f654,f1223]) ).
fof(f753,plain,
( spl23_92
<=> ! [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,[spl23_92])]) ).
fof(f764,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))) )
| ~ spl23_74
| ~ spl23_92 ),
inference(resolution,[],[f754,f655]) ).
fof(f754,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl23_92 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f1218,plain,
( spl23_166
| ~ spl23_74
| ~ spl23_91 ),
inference(avatar_split_clause,[],[f761,f749,f654,f1216]) ).
fof(f749,plain,
( spl23_91
<=> ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_91])]) ).
fof(f761,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl23_74
| ~ spl23_91 ),
inference(resolution,[],[f750,f655]) ).
fof(f750,plain,
( ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl23_91 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f1205,plain,
( spl23_165
| ~ spl23_79
| ~ spl23_104 ),
inference(avatar_split_clause,[],[f831,f827,f674,f1203]) ).
fof(f1203,plain,
( spl23_165
<=> ! [X0] :
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_165])]) ).
fof(f674,plain,
( spl23_79
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_79])]) ).
fof(f831,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl23_79
| ~ spl23_104 ),
inference(resolution,[],[f828,f675]) ).
fof(f675,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl23_79 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1201,plain,
( spl23_164
| ~ spl23_79
| ~ spl23_102 ),
inference(avatar_split_clause,[],[f830,f819,f674,f1199]) ).
fof(f1199,plain,
( spl23_164
<=> ! [X0] :
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_164])]) ).
fof(f830,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl23_79
| ~ spl23_102 ),
inference(resolution,[],[f820,f675]) ).
fof(f1197,plain,
( spl23_163
| ~ spl23_91
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f770,f757,f749,f1195]) ).
fof(f770,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK8(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl23_91
| ~ spl23_93 ),
inference(resolution,[],[f758,f750]) ).
fof(f1193,plain,
( spl23_162
| ~ spl23_92
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f768,f757,f753,f1191]) ).
fof(f768,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl23_92
| ~ spl23_93 ),
inference(resolution,[],[f758,f754]) ).
fof(f1188,plain,
( spl23_4
| ~ spl23_160
| ~ spl23_6
| ~ spl23_10
| spl23_51
| spl23_161
| ~ spl23_11
| ~ spl23_13
| ~ spl23_109 ),
inference(avatar_split_clause,[],[f866,f852,f363,f353,f1186,f544,f348,f328,f1182,f318]) ).
fof(f544,plain,
( spl23_51
<=> v2_binop_1(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_51])]) ).
fof(f852,plain,
( spl23_109
<=> ! [X2,X0,X1] :
( v2_binop_1(k1_realset1(X2,X1),X1)
| ~ v2_binop_1(X2,X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_109])]) ).
fof(f866,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v2_binop_1(u1_lattices(sK1),X0)
| v2_binop_1(sK4,sK2)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_13
| ~ spl23_109 ),
inference(superposition,[],[f853,f365]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k1_realset1(X2,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl23_109 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1179,plain,
( spl23_4
| ~ spl23_158
| ~ spl23_5
| ~ spl23_8
| spl23_49
| spl23_159
| ~ spl23_9
| ~ spl23_12
| ~ spl23_109 ),
inference(avatar_split_clause,[],[f865,f852,f358,f343,f1177,f536,f338,f323,f1173,f318]) ).
fof(f536,plain,
( spl23_49
<=> v2_binop_1(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_49])]) ).
fof(f865,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v2_binop_1(u2_lattices(sK1),X0)
| v2_binop_1(sK3,sK2)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| v1_xboole_0(sK2)
| v1_xboole_0(X0) )
| ~ spl23_12
| ~ spl23_109 ),
inference(superposition,[],[f853,f360]) ).
fof(f1165,plain,
( spl23_157
| ~ spl23_88
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f763,f753,f731,f1163]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl23_88
| ~ spl23_92 ),
inference(resolution,[],[f754,f732]) ).
fof(f1155,plain,
( spl23_156
| ~ spl23_67
| ~ spl23_74 ),
inference(avatar_split_clause,[],[f684,f654,f619,f1153]) ).
fof(f619,plain,
( spl23_67
<=> ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_67])]) ).
fof(f684,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_67
| ~ spl23_74 ),
inference(resolution,[],[f655,f620]) ).
fof(f620,plain,
( ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl23_67 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f1151,plain,
( spl23_155
| ~ spl23_70
| ~ spl23_74 ),
inference(avatar_split_clause,[],[f683,f654,f631,f1149]) ).
fof(f683,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl23_70
| ~ spl23_74 ),
inference(resolution,[],[f655,f632]) ).
fof(f1138,plain,
( spl23_154
| ~ spl23_20
| ~ spl23_23
| ~ spl23_24
| ~ spl23_58
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f804,f776,f574,f418,f413,f398,f1136]) ).
fof(f1136,plain,
( spl23_154
<=> ! [X0] : k1_realset1(sK18,X0) = k7_relat_1(sK18,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_154])]) ).
fof(f398,plain,
( spl23_20
<=> v1_xboole_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f413,plain,
( spl23_23
<=> v1_relat_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f418,plain,
( spl23_24
<=> v1_xboole_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f574,plain,
( spl23_58
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_58])]) ).
fof(f804,plain,
( ! [X0] : k1_realset1(sK18,X0) = k7_relat_1(sK18,k2_zfmisc_1(X0,X0))
| ~ spl23_20
| ~ spl23_23
| ~ spl23_24
| ~ spl23_58
| ~ spl23_94 ),
inference(forward_demodulation,[],[f801,f589]) ).
fof(f589,plain,
( sK18 = sK20
| ~ spl23_20
| ~ spl23_24
| ~ spl23_58 ),
inference(forward_demodulation,[],[f588,f587]) ).
fof(f587,plain,
( k1_xboole_0 = sK18
| ~ spl23_20
| ~ spl23_58 ),
inference(resolution,[],[f575,f400]) ).
fof(f400,plain,
( v1_xboole_0(sK18)
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f575,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl23_58 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f588,plain,
( k1_xboole_0 = sK20
| ~ spl23_24
| ~ spl23_58 ),
inference(resolution,[],[f575,f420]) ).
fof(f420,plain,
( v1_xboole_0(sK20)
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f801,plain,
( ! [X0] : k1_realset1(sK20,X0) = k7_relat_1(sK20,k2_zfmisc_1(X0,X0))
| ~ spl23_23
| ~ spl23_94 ),
inference(resolution,[],[f777,f415]) ).
fof(f415,plain,
( v1_relat_1(sK20)
| ~ spl23_23 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f1134,plain,
( spl23_153
| ~ spl23_28
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f803,f776,f438,f1132]) ).
fof(f1132,plain,
( spl23_153
<=> ! [X0] : k1_realset1(sK22,X0) = k7_relat_1(sK22,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_153])]) ).
fof(f803,plain,
( ! [X0] : k1_realset1(sK22,X0) = k7_relat_1(sK22,k2_zfmisc_1(X0,X0))
| ~ spl23_28
| ~ spl23_94 ),
inference(resolution,[],[f777,f440]) ).
fof(f1130,plain,
( spl23_152
| ~ spl23_26
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f802,f776,f428,f1128]) ).
fof(f1128,plain,
( spl23_152
<=> ! [X0] : k1_realset1(sK21,X0) = k7_relat_1(sK21,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_152])]) ).
fof(f802,plain,
( ! [X0] : k1_realset1(sK21,X0) = k7_relat_1(sK21,k2_zfmisc_1(X0,X0))
| ~ spl23_26
| ~ spl23_94 ),
inference(resolution,[],[f777,f430]) ).
fof(f1126,plain,
( spl23_151
| ~ spl23_67
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f769,f757,f619,f1124]) ).
fof(f769,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(X1) )
| ~ spl23_67
| ~ spl23_93 ),
inference(resolution,[],[f758,f620]) ).
fof(f1122,plain,
( spl23_150
| ~ spl23_70
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f767,f757,f631,f1120]) ).
fof(f1120,plain,
( spl23_150
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_150])]) ).
fof(f767,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl23_70
| ~ spl23_93 ),
inference(resolution,[],[f758,f632]) ).
fof(f1118,plain,
( spl23_149
| ~ spl23_67
| ~ spl23_78 ),
inference(avatar_split_clause,[],[f692,f670,f619,f1116]) ).
fof(f670,plain,
( spl23_78
<=> ! [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,[spl23_78])]) ).
fof(f692,plain,
( ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl23_67
| ~ spl23_78 ),
inference(resolution,[],[f671,f620]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl23_78 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f1112,plain,
( spl23_148
| ~ spl23_45
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f771,f757,f508,f1110]) ).
fof(f508,plain,
( spl23_45
<=> ! [X0] : m1_subset_1(sK9(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f771,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK9(k1_zfmisc_1(X1))) )
| ~ spl23_45
| ~ spl23_93 ),
inference(resolution,[],[f758,f509]) ).
fof(f509,plain,
( ! [X0] : m1_subset_1(sK9(X0),X0)
| ~ spl23_45 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f1108,plain,
( spl23_147
| ~ spl23_70
| ~ spl23_88 ),
inference(avatar_split_clause,[],[f734,f731,f631,f1106]) ).
fof(f1106,plain,
( spl23_147
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_147])]) ).
fof(f734,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl23_70
| ~ spl23_88 ),
inference(resolution,[],[f732,f632]) ).
fof(f1099,plain,
( spl23_146
| ~ spl23_45
| ~ spl23_88 ),
inference(avatar_split_clause,[],[f736,f731,f508,f1097]) ).
fof(f736,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK9(k1_zfmisc_1(X0))) )
| ~ spl23_45
| ~ spl23_88 ),
inference(resolution,[],[f732,f509]) ).
fof(f1095,plain,
( spl23_145
| ~ spl23_70
| ~ spl23_78 ),
inference(avatar_split_clause,[],[f691,f670,f631,f1093]) ).
fof(f691,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl23_70
| ~ spl23_78 ),
inference(resolution,[],[f671,f632]) ).
fof(f1091,plain,
( spl23_144
| ~ spl23_20
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_74 ),
inference(avatar_split_clause,[],[f688,f654,f578,f574,f452,f398,f1089]) ).
fof(f452,plain,
( spl23_31
<=> ! [X0] : v1_xboole_0(sK10(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f688,plain,
( ! [X0] :
( r2_hidden(sK18,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl23_20
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_74 ),
inference(forward_demodulation,[],[f687,f587]) ).
fof(f687,plain,
( ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_74 ),
inference(forward_demodulation,[],[f686,f586]) ).
fof(f586,plain,
( ! [X0] : k1_xboole_0 = sK10(X0)
| ~ spl23_31
| ~ spl23_58 ),
inference(resolution,[],[f575,f453]) ).
fof(f453,plain,
( ! [X0] : v1_xboole_0(sK10(X0))
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f686,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK10(X0),k1_zfmisc_1(X0)) )
| ~ spl23_59
| ~ spl23_74 ),
inference(resolution,[],[f655,f579]) ).
fof(f1079,plain,
( spl23_143
| ~ spl23_43
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f888,f878,f500,f1076]) ).
fof(f1076,plain,
( spl23_143
<=> v9_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_143])]) ).
fof(f500,plain,
( spl23_43
<=> ! [X0] :
( v9_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f878,plain,
( spl23_113
<=> sP0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_113])]) ).
fof(f888,plain,
( v9_lattices(sK1)
| ~ spl23_43
| ~ spl23_113 ),
inference(resolution,[],[f880,f501]) ).
fof(f501,plain,
( ! [X0] :
( ~ sP0(X0)
| v9_lattices(X0) )
| ~ spl23_43 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f880,plain,
( sP0(sK1)
| ~ spl23_113 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1069,plain,
( spl23_142
| ~ spl23_78
| ~ spl23_92 ),
inference(avatar_split_clause,[],[f762,f753,f670,f1067]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl23_78
| ~ spl23_92 ),
inference(resolution,[],[f754,f671]) ).
fof(f1065,plain,
( spl23_141
| ~ spl23_65
| ~ spl23_80 ),
inference(avatar_split_clause,[],[f700,f678,f608,f1063]) ).
fof(f608,plain,
( spl23_65
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_65])]) ).
fof(f678,plain,
( spl23_80
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_80])]) ).
fof(f700,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl23_65
| ~ spl23_80 ),
inference(resolution,[],[f679,f609]) ).
fof(f609,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl23_65 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f679,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl23_80 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f1061,plain,
( spl23_140
| ~ spl23_66
| ~ spl23_79 ),
inference(avatar_split_clause,[],[f699,f674,f612,f1059]) ).
fof(f1059,plain,
( spl23_140
<=> ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_140])]) ).
fof(f699,plain,
( ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1)
| ~ spl23_66
| ~ spl23_79 ),
inference(resolution,[],[f675,f613]) ).
fof(f1057,plain,
( spl23_139
| ~ spl23_45
| ~ spl23_78 ),
inference(avatar_split_clause,[],[f693,f670,f508,f1055]) ).
fof(f693,plain,
( ! [X0,X1] : v1_relat_1(sK9(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl23_45
| ~ spl23_78 ),
inference(resolution,[],[f671,f509]) ).
fof(f1053,plain,
( spl23_138
| ~ spl23_45
| ~ spl23_74 ),
inference(avatar_split_clause,[],[f685,f654,f508,f1051]) ).
fof(f685,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK9(X0),X0) )
| ~ spl23_45
| ~ spl23_74 ),
inference(resolution,[],[f655,f509]) ).
fof(f1049,plain,
( spl23_137
| ~ spl23_42
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f887,f878,f496,f1046]) ).
fof(f1046,plain,
( spl23_137
<=> v8_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_137])]) ).
fof(f496,plain,
( spl23_42
<=> ! [X0] :
( v8_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
fof(f887,plain,
( v8_lattices(sK1)
| ~ spl23_42
| ~ spl23_113 ),
inference(resolution,[],[f880,f497]) ).
fof(f497,plain,
( ! [X0] :
( ~ sP0(X0)
| v8_lattices(X0) )
| ~ spl23_42 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f1044,plain,
( spl23_134
| spl23_135
| ~ spl23_136
| ~ spl23_18
| ~ spl23_73 ),
inference(avatar_split_clause,[],[f682,f650,f388,f1041,f1037,f1033]) ).
fof(f1033,plain,
( spl23_134
<=> sP0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_134])]) ).
fof(f1041,plain,
( spl23_136
<=> v10_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_136])]) ).
fof(f388,plain,
( spl23_18
<=> l3_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f650,plain,
( spl23_73
<=> ! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_73])]) ).
fof(f682,plain,
( ~ v10_lattices(sK16)
| v3_struct_0(sK16)
| sP0(sK16)
| ~ spl23_18
| ~ spl23_73 ),
inference(resolution,[],[f651,f390]) ).
fof(f390,plain,
( l3_lattices(sK16)
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f651,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) )
| ~ spl23_73 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f1012,plain,
( spl23_130
| ~ spl23_58
| ~ spl23_125 ),
inference(avatar_split_clause,[],[f1000,f952,f574,f982]) ).
fof(f952,plain,
( spl23_125
<=> k1_xboole_0 = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_125])]) ).
fof(f1000,plain,
( ! [X0] :
( sK18 = X0
| ~ v1_xboole_0(X0) )
| ~ spl23_58
| ~ spl23_125 ),
inference(forward_demodulation,[],[f575,f954]) ).
fof(f954,plain,
( k1_xboole_0 = sK18
| ~ spl23_125 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1011,plain,
( spl23_133
| ~ spl23_41
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f886,f878,f492,f1008]) ).
fof(f492,plain,
( spl23_41
<=> ! [X0] :
( v7_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_41])]) ).
fof(f886,plain,
( v7_lattices(sK1)
| ~ spl23_41
| ~ spl23_113 ),
inference(resolution,[],[f880,f493]) ).
fof(f493,plain,
( ! [X0] :
( ~ sP0(X0)
| v7_lattices(X0) )
| ~ spl23_41 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f999,plain,
( ~ spl23_14
| ~ spl23_131 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| ~ spl23_14
| ~ spl23_131 ),
inference(resolution,[],[f987,f370]) ).
fof(f370,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl23_14
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f987,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl23_131 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f986,plain,
( spl23_131
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_131])]) ).
fof(f998,plain,
( ~ spl23_31
| ~ spl23_131 ),
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f993,plain,
( $false
| ~ spl23_31
| ~ spl23_131 ),
inference(resolution,[],[f987,f453]) ).
fof(f997,plain,
( ~ spl23_20
| ~ spl23_131 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl23_20
| ~ spl23_131 ),
inference(resolution,[],[f987,f400]) ).
fof(f996,plain,
( ~ spl23_24
| ~ spl23_131 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| ~ spl23_24
| ~ spl23_131 ),
inference(resolution,[],[f987,f420]) ).
fof(f991,plain,
( spl23_131
| spl23_132
| ~ spl23_20
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_88 ),
inference(avatar_split_clause,[],[f739,f731,f578,f574,f452,f398,f989,f986]) ).
fof(f989,plain,
( spl23_132
<=> ! [X1] : ~ r2_hidden(X1,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_132])]) ).
fof(f739,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK18)
| ~ v1_xboole_0(X0) )
| ~ spl23_20
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_88 ),
inference(forward_demodulation,[],[f738,f587]) ).
fof(f738,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) )
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_88 ),
inference(forward_demodulation,[],[f737,f586]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(X0)) )
| ~ spl23_59
| ~ spl23_88 ),
inference(resolution,[],[f732,f579]) ).
fof(f984,plain,
( spl23_130
| ~ spl23_20
| ~ spl23_71 ),
inference(avatar_split_clause,[],[f645,f635,f398,f982]) ).
fof(f645,plain,
( ! [X0] :
( sK18 = X0
| ~ v1_xboole_0(X0) )
| ~ spl23_20
| ~ spl23_71 ),
inference(resolution,[],[f636,f400]) ).
fof(f978,plain,
( spl23_129
| ~ spl23_40
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f885,f878,f488,f975]) ).
fof(f488,plain,
( spl23_40
<=> ! [X0] :
( v6_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_40])]) ).
fof(f885,plain,
( v6_lattices(sK1)
| ~ spl23_40
| ~ spl23_113 ),
inference(resolution,[],[f880,f489]) ).
fof(f489,plain,
( ! [X0] :
( ~ sP0(X0)
| v6_lattices(X0) )
| ~ spl23_40 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f973,plain,
( spl23_128
| ~ spl23_125
| ~ spl23_127 ),
inference(avatar_split_clause,[],[f969,f966,f952,f971]) ).
fof(f966,plain,
( spl23_127
<=> ! [X0] : k1_xboole_0 = sK10(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_127])]) ).
fof(f969,plain,
( ! [X0] : sK10(X0) = sK18
| ~ spl23_125
| ~ spl23_127 ),
inference(forward_demodulation,[],[f967,f954]) ).
fof(f967,plain,
( ! [X0] : k1_xboole_0 = sK10(X0)
| ~ spl23_127 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f968,plain,
( spl23_127
| ~ spl23_31
| ~ spl23_58 ),
inference(avatar_split_clause,[],[f586,f574,f452,f966]) ).
fof(f960,plain,
( spl23_126
| ~ spl23_20
| ~ spl23_24
| ~ spl23_58 ),
inference(avatar_split_clause,[],[f589,f574,f418,f398,f957]) ).
fof(f957,plain,
( spl23_126
<=> sK18 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_126])]) ).
fof(f955,plain,
( spl23_125
| ~ spl23_20
| ~ spl23_58 ),
inference(avatar_split_clause,[],[f587,f574,f398,f952]) ).
fof(f948,plain,
( spl23_124
| ~ spl23_31
| ~ spl23_44 ),
inference(avatar_split_clause,[],[f528,f504,f452,f946]) ).
fof(f946,plain,
( spl23_124
<=> ! [X0] : v1_funct_1(sK10(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_124])]) ).
fof(f528,plain,
( ! [X0] : v1_funct_1(sK10(X0))
| ~ spl23_31
| ~ spl23_44 ),
inference(resolution,[],[f505,f453]) ).
fof(f942,plain,
( spl23_123
| ~ spl23_39
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f884,f878,f484,f939]) ).
fof(f484,plain,
( spl23_39
<=> ! [X0] :
( v5_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_39])]) ).
fof(f884,plain,
( v5_lattices(sK1)
| ~ spl23_39
| ~ spl23_113 ),
inference(resolution,[],[f880,f485]) ).
fof(f485,plain,
( ! [X0] :
( ~ sP0(X0)
| v5_lattices(X0) )
| ~ spl23_39 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f936,plain,
( spl23_122
| ~ spl23_20
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_78 ),
inference(avatar_split_clause,[],[f696,f670,f578,f574,f452,f398,f933]) ).
fof(f696,plain,
( v1_relat_1(sK18)
| ~ spl23_20
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_78 ),
inference(forward_demodulation,[],[f695,f587]) ).
fof(f695,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl23_31
| ~ spl23_58
| ~ spl23_59
| ~ spl23_78 ),
inference(forward_demodulation,[],[f694,f586]) ).
fof(f694,plain,
( ! [X0,X1] : v1_relat_1(sK10(k2_zfmisc_1(X0,X1)))
| ~ spl23_59
| ~ spl23_78 ),
inference(resolution,[],[f671,f579]) ).
fof(f931,plain,
( spl23_121
| ~ spl23_20
| ~ spl23_44 ),
inference(avatar_split_clause,[],[f529,f504,f398,f928]) ).
fof(f928,plain,
( spl23_121
<=> v1_funct_1(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_121])]) ).
fof(f529,plain,
( v1_funct_1(sK18)
| ~ spl23_20
| ~ spl23_44 ),
inference(resolution,[],[f505,f400]) ).
fof(f925,plain,
( spl23_120
| ~ spl23_14
| ~ spl23_44 ),
inference(avatar_split_clause,[],[f527,f504,f368,f922]) ).
fof(f922,plain,
( spl23_120
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_120])]) ).
fof(f527,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl23_14
| ~ spl23_44 ),
inference(resolution,[],[f505,f370]) ).
fof(f920,plain,
( spl23_119
| ~ spl23_18
| ~ spl23_36 ),
inference(avatar_split_clause,[],[f521,f472,f388,f917]) ).
fof(f472,plain,
( spl23_36
<=> ! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
fof(f521,plain,
( l2_lattices(sK16)
| ~ spl23_18
| ~ spl23_36 ),
inference(resolution,[],[f473,f390]) ).
fof(f473,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) )
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f915,plain,
( spl23_118
| ~ spl23_18
| ~ spl23_35 ),
inference(avatar_split_clause,[],[f519,f468,f388,f912]) ).
fof(f468,plain,
( spl23_35
<=> ! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
fof(f519,plain,
( l1_lattices(sK16)
| ~ spl23_18
| ~ spl23_35 ),
inference(resolution,[],[f469,f390]) ).
fof(f469,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) )
| ~ spl23_35 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f910,plain,
( spl23_117
| ~ spl23_16
| ~ spl23_34 ),
inference(avatar_split_clause,[],[f517,f464,f378,f907]) ).
fof(f907,plain,
( spl23_117
<=> l1_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_117])]) ).
fof(f464,plain,
( spl23_34
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
fof(f517,plain,
( l1_struct_0(sK14)
| ~ spl23_16
| ~ spl23_34 ),
inference(resolution,[],[f465,f380]) ).
fof(f465,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) )
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f904,plain,
( spl23_116
| ~ spl23_38
| ~ spl23_113 ),
inference(avatar_split_clause,[],[f883,f878,f480,f901]) ).
fof(f480,plain,
( spl23_38
<=> ! [X0] :
( v4_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_38])]) ).
fof(f883,plain,
( v4_lattices(sK1)
| ~ spl23_38
| ~ spl23_113 ),
inference(resolution,[],[f880,f481]) ).
fof(f481,plain,
( ! [X0] :
( ~ sP0(X0)
| v4_lattices(X0) )
| ~ spl23_38 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f898,plain,
( spl23_115
| ~ spl23_11
| ~ spl23_79 ),
inference(avatar_split_clause,[],[f698,f674,f353,f895]) ).
fof(f895,plain,
( spl23_115
<=> m1_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_115])]) ).
fof(f698,plain,
( m1_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
| ~ spl23_11
| ~ spl23_79 ),
inference(resolution,[],[f675,f355]) ).
fof(f893,plain,
( spl23_114
| ~ spl23_9
| ~ spl23_79 ),
inference(avatar_split_clause,[],[f697,f674,f343,f890]) ).
fof(f890,plain,
( spl23_114
<=> m1_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_114])]) ).
fof(f697,plain,
( m1_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
| ~ spl23_9
| ~ spl23_79 ),
inference(resolution,[],[f675,f345]) ).
fof(f881,plain,
( spl23_113
| spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_73 ),
inference(avatar_split_clause,[],[f681,f650,f313,f308,f303,f878]) ).
fof(f681,plain,
( ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| sP0(sK1)
| ~ spl23_3
| ~ spl23_73 ),
inference(resolution,[],[f651,f315]) ).
fof(f315,plain,
( l3_lattices(sK1)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f874,plain,
spl23_112,
inference(avatar_split_clause,[],[f301,f872]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r1_lattice2(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f300]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4] :
( r1_lattice2(X1,X4,k1_realset1(X3,X1))
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_lattice2(X1,X4,X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r1_lattice2(X1,X4,X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r1_lattice2(X1,X4,X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r1_lattice2(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> r1_lattice2(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_filter_2) ).
fof(f862,plain,
spl23_111,
inference(avatar_split_clause,[],[f299,f860]) ).
fof(f299,plain,
! [X2,X0,X1] :
( v1_binop_1(k1_realset1(X2,X1),X1)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0)
| k1_realset1(X2,X1) != X3
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0) )
& ( v3_binop_1(X3,X1)
| ~ v3_binop_1(X2,X0) )
& ( v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0) ) )
| k1_realset1(X2,X1) != X3
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0) )
& ( v3_binop_1(X3,X1)
| ~ v3_binop_1(X2,X0) )
& ( v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0) ) )
| k1_realset1(X2,X1) != X3
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( k1_realset1(X2,X1) = X3
=> ( ( v2_binop_1(X2,X0)
=> v2_binop_1(X3,X1) )
& ( v3_binop_1(X2,X0)
=> v3_binop_1(X3,X1) )
& ( v1_binop_1(X2,X0)
=> v1_binop_1(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_filter_2) ).
fof(f858,plain,
spl23_110,
inference(avatar_split_clause,[],[f298,f856]) ).
fof(f298,plain,
! [X2,X0,X1] :
( v3_binop_1(k1_realset1(X2,X1),X1)
| ~ v3_binop_1(X2,X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( v3_binop_1(X3,X1)
| ~ v3_binop_1(X2,X0)
| k1_realset1(X2,X1) != X3
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f854,plain,
spl23_109,
inference(avatar_split_clause,[],[f297,f852]) ).
fof(f297,plain,
! [X2,X0,X1] :
( v2_binop_1(k1_realset1(X2,X1),X1)
| ~ v2_binop_1(X2,X0)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0)
| k1_realset1(X2,X1) != X3
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f850,plain,
spl23_108,
inference(avatar_split_clause,[],[f218,f848]) ).
fof(f848,plain,
( spl23_108
<=> ! [X0] :
( v10_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_108])]) ).
fof(f218,plain,
! [X0] :
( v10_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattices) ).
fof(f843,plain,
spl23_107,
inference(avatar_split_clause,[],[f248,f841]) ).
fof(f248,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f839,plain,
spl23_106,
inference(avatar_split_clause,[],[f247,f837]) ).
fof(f247,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_lattice2) ).
fof(f835,plain,
spl23_105,
inference(avatar_split_clause,[],[f246,f833]) ).
fof(f246,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lattice2) ).
fof(f829,plain,
spl23_104,
inference(avatar_split_clause,[],[f214,f827]) ).
fof(f214,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f825,plain,
spl23_103,
inference(avatar_split_clause,[],[f213,f823]) ).
fof(f213,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f821,plain,
spl23_102,
inference(avatar_split_clause,[],[f211,f819]) ).
fof(f211,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f817,plain,
spl23_101,
inference(avatar_split_clause,[],[f210,f815]) ).
fof(f210,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f813,plain,
( ~ spl23_99
| spl23_100
| ~ spl23_13
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f616,f596,f363,f810,f806]) ).
fof(f616,plain,
( v1_relat_1(sK4)
| ~ v1_relat_1(u1_lattices(sK1))
| ~ spl23_13
| ~ spl23_62 ),
inference(superposition,[],[f597,f365]) ).
fof(f794,plain,
spl23_98,
inference(avatar_split_clause,[],[f245,f792]) ).
fof(f245,plain,
! [X0] :
( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f790,plain,
spl23_97,
inference(avatar_split_clause,[],[f241,f788]) ).
fof(f241,plain,
! [X0] :
( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f786,plain,
spl23_96,
inference(avatar_split_clause,[],[f237,f784]) ).
fof(f237,plain,
! [X0] :
( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f782,plain,
spl23_95,
inference(avatar_split_clause,[],[f233,f780]) ).
fof(f233,plain,
! [X0] :
( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f778,plain,
spl23_94,
inference(avatar_split_clause,[],[f229,f776]) ).
fof(f229,plain,
! [X0,X1] :
( k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_realset1) ).
fof(f759,plain,
spl23_93,
inference(avatar_split_clause,[],[f278,f757]) ).
fof(f278,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f137]) ).
fof(f137,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/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f755,plain,
spl23_92,
inference(avatar_split_clause,[],[f276,f753]) ).
fof(f276,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,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f751,plain,
spl23_91,
inference(avatar_split_clause,[],[f253,f749]) ).
fof(f253,plain,
! [X0] :
( m1_subset_1(sK8(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(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f117,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f117,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,[],[f116]) ).
fof(f116,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,[],[f54]) ).
fof(f54,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/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f747,plain,
spl23_90,
inference(avatar_split_clause,[],[f250,f745]) ).
fof(f250,plain,
! [X0] :
( m2_lattice4(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( ~ v1_xboole_0(sK7(X0))
& m2_lattice4(sK7(X0),X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f113,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( ~ v1_xboole_0(sK7(X0))
& m2_lattice4(sK7(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice4) ).
fof(f743,plain,
spl23_89,
inference(avatar_split_clause,[],[f249,f741]) ).
fof(f249,plain,
! [X0] :
( m2_lattice4(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( m2_lattice4(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f111,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] : m2_lattice4(X1,X0)
=> m2_lattice4(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ? [X1] : m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] : m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_lattice4(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_lattice4) ).
fof(f733,plain,
spl23_88,
inference(avatar_split_clause,[],[f281,f731]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,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/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f729,plain,
spl23_87,
inference(avatar_split_clause,[],[f251,f727]) ).
fof(f727,plain,
( spl23_87
<=> ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_87])]) ).
fof(f251,plain,
! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f725,plain,
spl23_86,
inference(avatar_split_clause,[],[f242,f723]) ).
fof(f242,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f721,plain,
spl23_85,
inference(avatar_split_clause,[],[f238,f719]) ).
fof(f238,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f717,plain,
spl23_84,
inference(avatar_split_clause,[],[f234,f715]) ).
fof(f234,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f713,plain,
( ~ spl23_82
| spl23_83
| ~ spl23_12
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f615,f596,f358,f710,f706]) ).
fof(f615,plain,
( v1_relat_1(sK3)
| ~ v1_relat_1(u2_lattices(sK1))
| ~ spl23_12
| ~ spl23_62 ),
inference(superposition,[],[f597,f360]) ).
fof(f704,plain,
spl23_81,
inference(avatar_split_clause,[],[f230,f702]) ).
fof(f230,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f680,plain,
spl23_80,
inference(avatar_split_clause,[],[f280,f678]) ).
fof(f280,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,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,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f676,plain,
spl23_79,
inference(avatar_split_clause,[],[f279,f674]) ).
fof(f279,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f672,plain,
spl23_78,
inference(avatar_split_clause,[],[f277,f670]) ).
fof(f277,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f668,plain,
spl23_77,
inference(avatar_split_clause,[],[f270,f666]) ).
fof(f666,plain,
( spl23_77
<=> ! [X0,X1] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_77])]) ).
fof(f270,plain,
! [X0,X1] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_realset1) ).
fof(f664,plain,
spl23_76,
inference(avatar_split_clause,[],[f268,f662]) ).
fof(f662,plain,
( spl23_76
<=> ! [X0,X1] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_76])]) ).
fof(f268,plain,
! [X0,X1] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f660,plain,
spl23_75,
inference(avatar_split_clause,[],[f266,f658]) ).
fof(f658,plain,
( spl23_75
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_75])]) ).
fof(f266,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f656,plain,
spl23_74,
inference(avatar_split_clause,[],[f265,f654]) ).
fof(f265,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f652,plain,
spl23_73,
inference(avatar_split_clause,[],[f226,f650]) ).
fof(f226,plain,
! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f92,f140]) ).
fof(f140,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f92,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f642,plain,
( spl23_72
| ~ spl23_33
| ~ spl23_47 ),
inference(avatar_split_clause,[],[f590,f523,f460,f639]) ).
fof(f590,plain,
( l1_struct_0(sK1)
| ~ spl23_33
| ~ spl23_47 ),
inference(resolution,[],[f525,f461]) ).
fof(f525,plain,
( l1_lattices(sK1)
| ~ spl23_47 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f637,plain,
spl23_71,
inference(avatar_split_clause,[],[f272,f635]) ).
fof(f272,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f633,plain,
spl23_70,
inference(avatar_split_clause,[],[f271,f631]) ).
fof(f271,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f629,plain,
spl23_69,
inference(avatar_split_clause,[],[f254,f627]) ).
fof(f627,plain,
( spl23_69
<=> ! [X0] :
( ~ v1_xboole_0(sK8(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_69])]) ).
fof(f254,plain,
! [X0] :
( ~ v1_xboole_0(sK8(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f625,plain,
spl23_68,
inference(avatar_split_clause,[],[f252,f623]) ).
fof(f252,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f621,plain,
spl23_67,
inference(avatar_split_clause,[],[f205,f619]) ).
fof(f205,plain,
! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f83,f147]) ).
fof(f147,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f614,plain,
spl23_66,
inference(avatar_split_clause,[],[f275,f612]) ).
fof(f275,plain,
! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f33,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f610,plain,
spl23_65,
inference(avatar_split_clause,[],[f274,f608]) ).
fof(f274,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f30,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f606,plain,
spl23_64,
inference(avatar_split_clause,[],[f264,f604]) ).
fof(f604,plain,
( spl23_64
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_64])]) ).
fof(f264,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f602,plain,
spl23_63,
inference(avatar_split_clause,[],[f263,f600]) ).
fof(f263,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f598,plain,
spl23_62,
inference(avatar_split_clause,[],[f262,f596]) ).
fof(f262,plain,
! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k1_realset1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_realset1) ).
fof(f594,plain,
spl23_61,
inference(avatar_split_clause,[],[f261,f592]) ).
fof(f261,plain,
! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k7_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f584,plain,
spl23_60,
inference(avatar_split_clause,[],[f273,f582]) ).
fof(f582,plain,
( spl23_60
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_60])]) ).
fof(f273,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f580,plain,
spl23_59,
inference(avatar_split_clause,[],[f258,f578]) ).
fof(f258,plain,
! [X0] : m1_subset_1(sK10(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f50,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f576,plain,
spl23_58,
inference(avatar_split_clause,[],[f228,f574]) ).
fof(f228,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f572,plain,
spl23_57,
inference(avatar_split_clause,[],[f212,f570]) ).
fof(f212,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f568,plain,
spl23_56,
inference(avatar_split_clause,[],[f209,f566]) ).
fof(f209,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f564,plain,
( spl23_55
| ~ spl23_3
| ~ spl23_36 ),
inference(avatar_split_clause,[],[f520,f472,f313,f561]) ).
fof(f520,plain,
( l2_lattices(sK1)
| ~ spl23_3
| ~ spl23_36 ),
inference(resolution,[],[f473,f315]) ).
fof(f559,plain,
spl23_54,
inference(avatar_split_clause,[],[f206,f557]) ).
fof(f557,plain,
( spl23_54
<=> ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_54])]) ).
fof(f206,plain,
! [X0] :
( ~ v1_xboole_0(sK5(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f555,plain,
( ~ spl23_48
| ~ spl23_49
| ~ spl23_50
| ~ spl23_51
| ~ spl23_52
| ~ spl23_53 ),
inference(avatar_split_clause,[],[f198,f552,f548,f544,f540,f536,f532]) ).
fof(f198,plain,
( ~ r1_lattice2(sK2,sK4,sK3)
| ~ r1_lattice2(sK2,sK3,sK4)
| ~ v2_binop_1(sK4,sK2)
| ~ v1_binop_1(sK4,sK2)
| ~ v2_binop_1(sK3,sK2)
| ~ v1_binop_1(sK3,sK2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ~ r1_lattice2(sK2,sK4,sK3)
| ~ r1_lattice2(sK2,sK3,sK4)
| ~ v2_binop_1(sK4,sK2)
| ~ v1_binop_1(sK4,sK2)
| ~ v2_binop_1(sK3,sK2)
| ~ v1_binop_1(sK3,sK2) )
& k1_realset1(u1_lattices(sK1),sK2) = sK4
& k1_realset1(u2_lattices(sK1),sK2) = sK3
& m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(sK4)
& m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(sK3)
& m2_lattice4(sK2,sK1)
& ~ v1_xboole_0(sK2)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f78,f145,f144,f143,f142]) ).
fof(f142,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) )
& k1_realset1(u1_lattices(X0),X1) = X3
& k1_realset1(u2_lattices(X0),X1) = X2
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
& m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) )
& k1_realset1(u1_lattices(sK1),X1) = X3
& k1_realset1(u2_lattices(sK1),X1) = X2
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
& m2_lattice4(X1,sK1)
& ~ v1_xboole_0(X1) )
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) )
& k1_realset1(u1_lattices(sK1),X1) = X3
& k1_realset1(u2_lattices(sK1),X1) = X2
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
& m2_lattice4(X1,sK1)
& ~ v1_xboole_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(sK2,X3,X2)
| ~ r1_lattice2(sK2,X2,X3)
| ~ v2_binop_1(X3,sK2)
| ~ v1_binop_1(X3,sK2)
| ~ v2_binop_1(X2,sK2)
| ~ v1_binop_1(X2,sK2) )
& k1_realset1(u1_lattices(sK1),sK2) = X3
& k1_realset1(u2_lattices(sK1),sK2) = X2
& m2_relset_1(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(X2,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(X2) )
& m2_lattice4(sK2,sK1)
& ~ v1_xboole_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(sK2,X3,X2)
| ~ r1_lattice2(sK2,X2,X3)
| ~ v2_binop_1(X3,sK2)
| ~ v1_binop_1(X3,sK2)
| ~ v2_binop_1(X2,sK2)
| ~ v1_binop_1(X2,sK2) )
& k1_realset1(u1_lattices(sK1),sK2) = X3
& k1_realset1(u2_lattices(sK1),sK2) = X2
& m2_relset_1(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(X2,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(X2) )
=> ( ? [X3] :
( ( ~ r1_lattice2(sK2,X3,sK3)
| ~ r1_lattice2(sK2,sK3,X3)
| ~ v2_binop_1(X3,sK2)
| ~ v1_binop_1(X3,sK2)
| ~ v2_binop_1(sK3,sK2)
| ~ v1_binop_1(sK3,sK2) )
& k1_realset1(u1_lattices(sK1),sK2) = X3
& k1_realset1(u2_lattices(sK1),sK2) = sK3
& m2_relset_1(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(X3) )
& m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X3] :
( ( ~ r1_lattice2(sK2,X3,sK3)
| ~ r1_lattice2(sK2,sK3,X3)
| ~ v2_binop_1(X3,sK2)
| ~ v1_binop_1(X3,sK2)
| ~ v2_binop_1(sK3,sK2)
| ~ v1_binop_1(sK3,sK2) )
& k1_realset1(u1_lattices(sK1),sK2) = X3
& k1_realset1(u2_lattices(sK1),sK2) = sK3
& m2_relset_1(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(X3,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(X3) )
=> ( ( ~ r1_lattice2(sK2,sK4,sK3)
| ~ r1_lattice2(sK2,sK3,sK4)
| ~ v2_binop_1(sK4,sK2)
| ~ v1_binop_1(sK4,sK2)
| ~ v2_binop_1(sK3,sK2)
| ~ v1_binop_1(sK3,sK2) )
& k1_realset1(u1_lattices(sK1),sK2) = sK4
& k1_realset1(u2_lattices(sK1),sK2) = sK3
& m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2)
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) )
& k1_realset1(u1_lattices(X0),X1) = X3
& k1_realset1(u2_lattices(X0),X1) = X2
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
& m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) )
& k1_realset1(u1_lattices(X0),X1) = X3
& k1_realset1(u2_lattices(X0),X1) = X2
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
& m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( k1_realset1(u1_lattices(X0),X1) = X3
& k1_realset1(u2_lattices(X0),X1) = X2 )
=> ( r1_lattice2(X1,X3,X2)
& r1_lattice2(X1,X2,X3)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( k1_realset1(u1_lattices(X0),X1) = X3
& k1_realset1(u2_lattices(X0),X1) = X2 )
=> ( r1_lattice2(X1,X3,X2)
& r1_lattice2(X1,X2,X3)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_filter_2) ).
fof(f526,plain,
( spl23_47
| ~ spl23_3
| ~ spl23_35 ),
inference(avatar_split_clause,[],[f518,f468,f313,f523]) ).
fof(f518,plain,
( l1_lattices(sK1)
| ~ spl23_3
| ~ spl23_35 ),
inference(resolution,[],[f469,f315]) ).
fof(f516,plain,
( spl23_46
| ~ spl23_17
| ~ spl23_33 ),
inference(avatar_split_clause,[],[f511,f460,f383,f513]) ).
fof(f513,plain,
( spl23_46
<=> l1_struct_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_46])]) ).
fof(f511,plain,
( l1_struct_0(sK15)
| ~ spl23_17
| ~ spl23_33 ),
inference(resolution,[],[f461,f385]) ).
fof(f510,plain,
spl23_45,
inference(avatar_split_clause,[],[f257,f508]) ).
fof(f257,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f31,f156]) ).
fof(f156,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f31,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f506,plain,
spl23_44,
inference(avatar_split_clause,[],[f227,f504]) ).
fof(f227,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f502,plain,
spl23_43,
inference(avatar_split_clause,[],[f225,f500]) ).
fof(f225,plain,
! [X0] :
( v9_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f498,plain,
spl23_42,
inference(avatar_split_clause,[],[f224,f496]) ).
fof(f224,plain,
! [X0] :
( v8_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f494,plain,
spl23_41,
inference(avatar_split_clause,[],[f223,f492]) ).
fof(f223,plain,
! [X0] :
( v7_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f490,plain,
spl23_40,
inference(avatar_split_clause,[],[f222,f488]) ).
fof(f222,plain,
! [X0] :
( v6_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f486,plain,
spl23_39,
inference(avatar_split_clause,[],[f221,f484]) ).
fof(f221,plain,
! [X0] :
( v5_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f482,plain,
spl23_38,
inference(avatar_split_clause,[],[f220,f480]) ).
fof(f220,plain,
! [X0] :
( v4_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f478,plain,
spl23_37,
inference(avatar_split_clause,[],[f219,f476]) ).
fof(f476,plain,
( spl23_37
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f219,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f474,plain,
spl23_36,
inference(avatar_split_clause,[],[f216,f472]) ).
fof(f216,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f470,plain,
spl23_35,
inference(avatar_split_clause,[],[f215,f468]) ).
fof(f215,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f466,plain,
spl23_34,
inference(avatar_split_clause,[],[f208,f464]) ).
fof(f208,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f462,plain,
spl23_33,
inference(avatar_split_clause,[],[f207,f460]) ).
fof(f207,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f458,plain,
spl23_32,
inference(avatar_split_clause,[],[f260,f456]) ).
fof(f260,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f454,plain,
spl23_31,
inference(avatar_split_clause,[],[f259,f452]) ).
fof(f259,plain,
! [X0] : v1_xboole_0(sK10(X0)),
inference(cnf_transformation,[],[f159]) ).
fof(f450,plain,
spl23_30,
inference(avatar_split_clause,[],[f200,f448]) ).
fof(f200,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f446,plain,
spl23_29,
inference(avatar_split_clause,[],[f296,f443]) ).
fof(f443,plain,
( spl23_29
<=> v1_funct_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f296,plain,
v1_funct_1(sK22),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( v1_funct_1(sK22)
& v1_relat_1(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f76,f183]) ).
fof(f183,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK22)
& v1_relat_1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f52]) ).
fof(f52,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f441,plain,
spl23_28,
inference(avatar_split_clause,[],[f295,f438]) ).
fof(f295,plain,
v1_relat_1(sK22),
inference(cnf_transformation,[],[f184]) ).
fof(f436,plain,
spl23_27,
inference(avatar_split_clause,[],[f294,f433]) ).
fof(f433,plain,
( spl23_27
<=> v1_funct_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f294,plain,
v1_funct_1(sK21),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( v1_funct_1(sK21)
& v1_relat_1(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f45,f181]) ).
fof(f181,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK21)
& v1_relat_1(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f431,plain,
spl23_26,
inference(avatar_split_clause,[],[f293,f428]) ).
fof(f293,plain,
v1_relat_1(sK21),
inference(cnf_transformation,[],[f182]) ).
fof(f426,plain,
spl23_25,
inference(avatar_split_clause,[],[f292,f423]) ).
fof(f423,plain,
( spl23_25
<=> v1_funct_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f292,plain,
v1_funct_1(sK20),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( v1_funct_1(sK20)
& v1_xboole_0(sK20)
& v1_relat_1(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f49,f179]) ).
fof(f179,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK20)
& v1_xboole_0(sK20)
& v1_relat_1(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f49,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f421,plain,
spl23_24,
inference(avatar_split_clause,[],[f291,f418]) ).
fof(f291,plain,
v1_xboole_0(sK20),
inference(cnf_transformation,[],[f180]) ).
fof(f416,plain,
spl23_23,
inference(avatar_split_clause,[],[f290,f413]) ).
fof(f290,plain,
v1_relat_1(sK20),
inference(cnf_transformation,[],[f180]) ).
fof(f411,plain,
~ spl23_22,
inference(avatar_split_clause,[],[f289,f408]) ).
fof(f408,plain,
( spl23_22
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f289,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ~ v3_struct_0(sK19)
& l1_struct_0(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f53,f177]) ).
fof(f177,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK19)
& l1_struct_0(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f53,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f406,plain,
spl23_21,
inference(avatar_split_clause,[],[f288,f403]) ).
fof(f403,plain,
( spl23_21
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f288,plain,
l1_struct_0(sK19),
inference(cnf_transformation,[],[f178]) ).
fof(f401,plain,
spl23_20,
inference(avatar_split_clause,[],[f287,f398]) ).
fof(f287,plain,
v1_xboole_0(sK18),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
v1_xboole_0(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f48,f175]) ).
fof(f175,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK18) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f396,plain,
spl23_19,
inference(avatar_split_clause,[],[f286,f393]) ).
fof(f393,plain,
( spl23_19
<=> l1_struct_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f286,plain,
l1_struct_0(sK17),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
l1_struct_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f27,f173]) ).
fof(f173,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f391,plain,
spl23_18,
inference(avatar_split_clause,[],[f285,f388]) ).
fof(f285,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
l3_lattices(sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f29,f171]) ).
fof(f171,plain,
( ? [X0] : l3_lattices(X0)
=> l3_lattices(sK16) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
fof(f386,plain,
spl23_17,
inference(avatar_split_clause,[],[f284,f383]) ).
fof(f284,plain,
l1_lattices(sK15),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
l1_lattices(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f26,f169]) ).
fof(f169,plain,
( ? [X0] : l1_lattices(X0)
=> l1_lattices(sK15) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
fof(f381,plain,
spl23_16,
inference(avatar_split_clause,[],[f283,f378]) ).
fof(f283,plain,
l2_lattices(sK14),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
l2_lattices(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f28,f167]) ).
fof(f167,plain,
( ? [X0] : l2_lattices(X0)
=> l2_lattices(sK14) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
fof(f376,plain,
~ spl23_15,
inference(avatar_split_clause,[],[f282,f373]) ).
fof(f373,plain,
( spl23_15
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f282,plain,
~ v1_xboole_0(sK13),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
~ v1_xboole_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f51,f165]) ).
fof(f165,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f51,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f371,plain,
spl23_14,
inference(avatar_split_clause,[],[f199,f368]) ).
fof(f199,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f366,plain,
spl23_13,
inference(avatar_split_clause,[],[f197,f363]) ).
fof(f197,plain,
k1_realset1(u1_lattices(sK1),sK2) = sK4,
inference(cnf_transformation,[],[f146]) ).
fof(f361,plain,
spl23_12,
inference(avatar_split_clause,[],[f196,f358]) ).
fof(f196,plain,
k1_realset1(u2_lattices(sK1),sK2) = sK3,
inference(cnf_transformation,[],[f146]) ).
fof(f356,plain,
spl23_11,
inference(avatar_split_clause,[],[f195,f353]) ).
fof(f195,plain,
m2_relset_1(sK4,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f351,plain,
spl23_10,
inference(avatar_split_clause,[],[f194,f348]) ).
fof(f194,plain,
v1_funct_2(sK4,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f346,plain,
spl23_9,
inference(avatar_split_clause,[],[f192,f343]) ).
fof(f192,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f341,plain,
spl23_8,
inference(avatar_split_clause,[],[f191,f338]) ).
fof(f191,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK2,sK2),sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f336,plain,
spl23_7,
inference(avatar_split_clause,[],[f189,f333]) ).
fof(f189,plain,
m2_lattice4(sK2,sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f331,plain,
spl23_6,
inference(avatar_split_clause,[],[f193,f328]) ).
fof(f193,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f146]) ).
fof(f326,plain,
spl23_5,
inference(avatar_split_clause,[],[f190,f323]) ).
fof(f190,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f146]) ).
fof(f321,plain,
~ spl23_4,
inference(avatar_split_clause,[],[f188,f318]) ).
fof(f188,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f316,plain,
spl23_3,
inference(avatar_split_clause,[],[f187,f313]) ).
fof(f187,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f311,plain,
spl23_2,
inference(avatar_split_clause,[],[f186,f308]) ).
fof(f186,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f306,plain,
~ spl23_1,
inference(avatar_split_clause,[],[f185,f303]) ).
fof(f185,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT326+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 12:11:49 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (21034)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (21037)WARNING: value z3 for option sas not known
% 0.16/0.38 % (21035)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (21038)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (21037)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)
% 0.16/0.38 % (21036)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (21039)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)
% 0.16/0.38 % (21040)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)
% 0.16/0.38 % (21041)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)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.41 TRYING [4]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.44 % (21039)First to succeed.
% 0.22/0.45 TRYING [5]
% 0.22/0.45 TRYING [3]
% 0.22/0.46 % (21039)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21034"
% 0.22/0.46 % (21039)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (21039)------------------------------
% 0.22/0.48 % (21039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.48 % (21039)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (21039)Memory used [KB]: 1914
% 0.22/0.48 % (21039)Time elapsed: 0.076 s
% 0.22/0.48 % (21039)Instructions burned: 118 (million)
% 0.22/0.48 % (21034)Success in time 0.11 s
%------------------------------------------------------------------------------