TSTP Solution File: LAT295+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT295+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 : n019.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 07:27:20 EDT 2024
% Result : Theorem 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 332
% Syntax : Number of formulae : 1111 ( 169 unt; 0 def)
% Number of atoms : 3907 ( 387 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 4929 (2133 ~;2180 |; 282 &)
% ( 249 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 265 ( 263 usr; 245 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 21 con; 0-6 aty)
% Number of variables : 1123 (1031 !; 92 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2152,plain,
$false,
inference(avatar_sat_refutation,[],[f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f460,f464,f468,f472,f476,f480,f485,f489,f493,f497,f501,f505,f509,f513,f517,f528,f546,f550,f554,f558,f562,f567,f571,f580,f584,f588,f593,f597,f614,f619,f623,f627,f631,f635,f639,f643,f650,f660,f664,f668,f672,f676,f699,f709,f713,f717,f735,f739,f743,f747,f753,f760,f765,f774,f778,f784,f788,f793,f797,f819,f823,f827,f834,f844,f849,f854,f858,f862,f873,f885,f893,f910,f918,f931,f936,f942,f947,f952,f957,f962,f967,f972,f977,f982,f988,f993,f994,f1000,f1008,f1014,f1018,f1023,f1030,f1035,f1044,f1049,f1050,f1062,f1069,f1075,f1076,f1077,f1078,f1079,f1102,f1108,f1134,f1144,f1154,f1157,f1173,f1183,f1193,f1204,f1208,f1218,f1228,f1232,f1236,f1240,f1244,f1253,f1268,f1272,f1276,f1285,f1289,f1295,f1299,f1303,f1311,f1315,f1319,f1329,f1333,f1337,f1347,f1352,f1363,f1377,f1381,f1385,f1389,f1410,f1417,f1421,f1427,f1433,f1466,f1472,f1477,f1481,f1491,f1495,f1516,f1520,f1532,f1536,f1540,f1566,f1567,f1577,f1581,f1587,f1591,f1612,f1616,f1620,f1625,f1629,f1633,f1642,f1661,f1667,f1673,f1680,f1685,f1690,f1787,f1792,f1797,f1802,f1807,f1814,f1821,f1826,f1839,f1847,f1861,f1869,f1874,f1888,f1892,f1906,f1924,f1932,f1940,f1954,f1959,f1964,f1969,f1974,f1982,f1999,f2007,f2012,f2029,f2033,f2048,f2057,f2063,f2064,f2073,f2075,f2083,f2091,f2108,f2113,f2119,f2128,f2133,f2151]) ).
fof(f2151,plain,
( spl26_1
| ~ spl26_65
| ~ spl26_8
| ~ spl26_7
| spl26_64
| ~ spl26_92
| ~ spl26_235 ),
inference(avatar_split_clause,[],[f2068,f2054,f786,f611,f327,f332,f616,f297]) ).
fof(f297,plain,
( spl26_1
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f616,plain,
( spl26_65
<=> l2_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_65])]) ).
fof(f332,plain,
( spl26_8
<=> m1_subset_1(sK4,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f327,plain,
( spl26_7
<=> m1_subset_1(sK5,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f611,plain,
( spl26_64
<=> r1_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_64])]) ).
fof(f786,plain,
( spl26_92
<=> ! [X2,X0,X1] :
( r1_lattices(X0,X1,X2)
| k1_lattices(X0,X1,X2) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_92])]) ).
fof(f2054,plain,
( spl26_235
<=> sK5 = k1_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_235])]) ).
fof(f2068,plain,
( r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl26_92
| ~ spl26_235 ),
inference(trivial_inequality_removal,[],[f2066]) ).
fof(f2066,plain,
( sK5 != sK5
| r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl26_92
| ~ spl26_235 ),
inference(superposition,[],[f787,f2056]) ).
fof(f2056,plain,
( sK5 = k1_lattices(sK0,sK4,sK5)
| ~ spl26_235 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f787,plain,
( ! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) != X2
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_92 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f2133,plain,
( spl26_244
| ~ spl26_8
| ~ spl26_144 ),
inference(avatar_split_clause,[],[f1220,f1216,f332,f2130]) ).
fof(f2130,plain,
( spl26_244
<=> k1_lattices(sK0,sK4,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_244])]) ).
fof(f1216,plain,
( spl26_144
<=> ! [X0] :
( k1_lattices(sK0,X0,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_144])]) ).
fof(f1220,plain,
( k1_lattices(sK0,sK4,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK4)
| ~ spl26_8
| ~ spl26_144 ),
inference(resolution,[],[f1217,f334]) ).
fof(f334,plain,
( m1_subset_1(sK4,u1_struct_0(sK0))
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f1217,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k1_lattices(sK0,X0,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK4) )
| ~ spl26_144 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f2128,plain,
( spl26_243
| ~ spl26_7
| ~ spl26_144 ),
inference(avatar_split_clause,[],[f1219,f1216,f327,f2125]) ).
fof(f2125,plain,
( spl26_243
<=> k1_lattices(sK0,sK5,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_243])]) ).
fof(f1219,plain,
( k1_lattices(sK0,sK5,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK5,sK4)
| ~ spl26_7
| ~ spl26_144 ),
inference(resolution,[],[f1217,f329]) ).
fof(f329,plain,
( m1_subset_1(sK5,u1_struct_0(sK0))
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f2119,plain,
( spl26_242
| ~ spl26_235
| ~ spl26_241 ),
inference(avatar_split_clause,[],[f2114,f2110,f2054,f2116]) ).
fof(f2116,plain,
( spl26_242
<=> sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_242])]) ).
fof(f2110,plain,
( spl26_241
<=> k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_241])]) ).
fof(f2114,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ spl26_235
| ~ spl26_241 ),
inference(forward_demodulation,[],[f2112,f2056]) ).
fof(f2112,plain,
( k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ spl26_241 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f2113,plain,
( spl26_241
| ~ spl26_8
| ~ spl26_143 ),
inference(avatar_split_clause,[],[f1210,f1206,f332,f2110]) ).
fof(f1206,plain,
( spl26_143
<=> ! [X0] :
( k1_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_143])]) ).
fof(f1210,plain,
( k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ spl26_8
| ~ spl26_143 ),
inference(resolution,[],[f1207,f334]) ).
fof(f1207,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k1_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK5) )
| ~ spl26_143 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f2108,plain,
( spl26_240
| ~ spl26_7
| ~ spl26_143 ),
inference(avatar_split_clause,[],[f1209,f1206,f327,f2105]) ).
fof(f2105,plain,
( spl26_240
<=> k1_lattices(sK0,sK5,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_240])]) ).
fof(f1209,plain,
( k1_lattices(sK0,sK5,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK5,sK5)
| ~ spl26_7
| ~ spl26_143 ),
inference(resolution,[],[f1207,f329]) ).
fof(f2091,plain,
( spl26_239
| ~ spl26_7
| ~ spl26_143
| ~ spl26_204
| ~ spl26_205
| ~ spl26_238 ),
inference(avatar_split_clause,[],[f2086,f2080,f1682,f1677,f1206,f327,f2088]) ).
fof(f2088,plain,
( spl26_239
<=> k1_lattices(sK1,sK5,sK5) = k1_lattices(sK0,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_239])]) ).
fof(f1677,plain,
( spl26_204
<=> u1_struct_0(sK0) = u1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_204])]) ).
fof(f1682,plain,
( spl26_205
<=> u2_lattices(sK0) = u2_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_205])]) ).
fof(f2080,plain,
( spl26_238
<=> k1_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_238])]) ).
fof(f2086,plain,
( k1_lattices(sK1,sK5,sK5) = k1_lattices(sK0,sK5,sK5)
| ~ spl26_7
| ~ spl26_143
| ~ spl26_204
| ~ spl26_205
| ~ spl26_238 ),
inference(forward_demodulation,[],[f2085,f1209]) ).
fof(f2085,plain,
( k1_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK5,sK5)
| ~ spl26_204
| ~ spl26_205
| ~ spl26_238 ),
inference(forward_demodulation,[],[f2084,f1679]) ).
fof(f1679,plain,
( u1_struct_0(sK0) = u1_struct_0(sK1)
| ~ spl26_204 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f2084,plain,
( k1_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK0),sK5,sK5)
| ~ spl26_205
| ~ spl26_238 ),
inference(forward_demodulation,[],[f2082,f1684]) ).
fof(f1684,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl26_205 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f2082,plain,
( k1_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK5,sK5)
| ~ spl26_238 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2083,plain,
( spl26_238
| ~ spl26_6
| ~ spl26_141 ),
inference(avatar_split_clause,[],[f1195,f1191,f322,f2080]) ).
fof(f322,plain,
( spl26_6
<=> m1_subset_1(sK5,u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f1191,plain,
( spl26_141
<=> ! [X0] :
( k1_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_141])]) ).
fof(f1195,plain,
( k1_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK5,sK5)
| ~ spl26_6
| ~ spl26_141 ),
inference(resolution,[],[f1192,f324]) ).
fof(f324,plain,
( m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f1192,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k1_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK5) )
| ~ spl26_141 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f2075,plain,
( spl26_3
| ~ spl26_72
| spl26_63
| ~ spl26_235
| ~ spl26_7
| ~ spl26_8
| ~ spl26_61
| ~ spl26_92
| ~ spl26_204 ),
inference(avatar_split_clause,[],[f2044,f1677,f786,f599,f332,f327,f2054,f607,f647,f307]) ).
fof(f307,plain,
( spl26_3
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f647,plain,
( spl26_72
<=> l2_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_72])]) ).
fof(f607,plain,
( spl26_63
<=> r1_lattices(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_63])]) ).
fof(f599,plain,
( spl26_61
<=> k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_61])]) ).
fof(f2044,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_92
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2043,f1679]) ).
fof(f2043,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_92
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2037,f1679]) ).
fof(f2037,plain,
( sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_92 ),
inference(superposition,[],[f787,f600]) ).
fof(f600,plain,
( k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5)
| ~ spl26_61 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f2073,plain,
( spl26_3
| ~ spl26_72
| spl26_237
| ~ spl26_7
| ~ spl26_8
| ~ spl26_61
| ~ spl26_90
| ~ spl26_204 ),
inference(avatar_split_clause,[],[f2047,f1677,f776,f599,f332,f327,f2070,f647,f307]) ).
fof(f2070,plain,
( spl26_237
<=> m1_subset_1(k1_lattices(sK0,sK4,sK5),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_237])]) ).
fof(f776,plain,
( spl26_90
<=> ! [X2,X0,X1] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_90])]) ).
fof(f2047,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| m1_subset_1(k1_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_90
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2046,f1679]) ).
fof(f2046,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| m1_subset_1(k1_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_90
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2045,f1679]) ).
fof(f2045,plain,
( m1_subset_1(k1_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_90
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2038,f1679]) ).
fof(f2038,plain,
( m1_subset_1(k1_lattices(sK0,sK4,sK5),u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_90 ),
inference(superposition,[],[f777,f600]) ).
fof(f777,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_90 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f2064,plain,
( spl26_1
| ~ spl26_65
| ~ spl26_8
| ~ spl26_7
| spl26_235
| ~ spl26_64
| ~ spl26_91 ),
inference(avatar_split_clause,[],[f2058,f782,f611,f2054,f327,f332,f616,f297]) ).
fof(f782,plain,
( spl26_91
<=> ! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) = X2
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_91])]) ).
fof(f2058,plain,
( sK5 = k1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl26_64
| ~ spl26_91 ),
inference(resolution,[],[f612,f783]) ).
fof(f783,plain,
( ! [X2,X0,X1] :
( ~ r1_lattices(X0,X1,X2)
| k1_lattices(X0,X1,X2) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_91 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f612,plain,
( r1_lattices(sK0,sK4,sK5)
| ~ spl26_64 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f2063,plain,
( spl26_236
| ~ spl26_149
| ~ spl26_214 ),
inference(avatar_split_clause,[],[f1833,f1823,f1242,f2060]) ).
fof(f2060,plain,
( spl26_236
<=> v1_relat_1(u1_lattices(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_236])]) ).
fof(f1242,plain,
( spl26_149
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_149])]) ).
fof(f1823,plain,
( spl26_214
<=> m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_214])]) ).
fof(f1833,plain,
( v1_relat_1(u1_lattices(sK0))
| ~ spl26_149
| ~ spl26_214 ),
inference(resolution,[],[f1825,f1243]) ).
fof(f1243,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl26_149 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1825,plain,
( m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_214 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f2057,plain,
( spl26_3
| ~ spl26_72
| spl26_235
| ~ spl26_7
| ~ spl26_8
| ~ spl26_61
| ~ spl26_63
| ~ spl26_91
| ~ spl26_204 ),
inference(avatar_split_clause,[],[f2052,f1677,f782,f607,f599,f332,f327,f2054,f647,f307]) ).
fof(f2052,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| sK5 = k1_lattices(sK0,sK4,sK5)
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_63
| ~ spl26_91
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2051,f1679]) ).
fof(f2051,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| sK5 = k1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_63
| ~ spl26_91
| ~ spl26_204 ),
inference(forward_demodulation,[],[f2050,f1679]) ).
fof(f2050,plain,
( sK5 = k1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_61
| ~ spl26_63
| ~ spl26_91 ),
inference(forward_demodulation,[],[f2049,f600]) ).
fof(f2049,plain,
( sK5 = k1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_63
| ~ spl26_91 ),
inference(resolution,[],[f608,f783]) ).
fof(f608,plain,
( r1_lattices(sK1,sK4,sK5)
| ~ spl26_63 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f2048,plain,
( ~ spl26_61
| spl26_64
| spl26_63
| ~ spl26_62 ),
inference(avatar_split_clause,[],[f2035,f603,f607,f611,f599]) ).
fof(f603,plain,
( spl26_62
<=> k2_lattices(sK1,sK4,sK5) = k2_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_62])]) ).
fof(f2035,plain,
( r1_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5)
| ~ spl26_62 ),
inference(trivial_inequality_removal,[],[f2034]) ).
fof(f2034,plain,
( k2_lattices(sK0,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5)
| ~ spl26_62 ),
inference(forward_demodulation,[],[f292,f604]) ).
fof(f604,plain,
( k2_lattices(sK1,sK4,sK5) = k2_lattices(sK0,sK4,sK5)
| ~ spl26_62 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f292,plain,
( r1_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5) ),
inference(definition_unfolding,[],[f197,f195,f196,f195,f196,f195,f196]) ).
fof(f196,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,sK5) )
| ( ~ r1_lattices(sK1,sK4,sK5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) )
& sK3 = sK5
& sK2 = sK4
& m1_subset_1(sK5,u1_struct_0(sK1))
& m1_subset_1(sK4,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
& l3_lattices(sK1)
& ~ v3_struct_0(sK1)
& l3_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f83,f142,f141,f140,f139,f138,f137]) ).
fof(f137,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(X1,X4,X5) != k2_lattices(sK0,X2,X3)
| k1_lattices(X1,X4,X5) != k1_lattices(sK0,X2,X3) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(X1,X4,X5) != k2_lattices(sK0,X2,X3)
| k1_lattices(X1,X4,X5) != k1_lattices(sK0,X2,X3) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(sK0,X2,X3) != k2_lattices(sK1,X4,X5)
| k1_lattices(sK0,X2,X3) != k1_lattices(sK1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
& l3_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(sK0,X2,X3) != k2_lattices(sK1,X4,X5)
| k1_lattices(sK0,X2,X3) != k1_lattices(sK1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,X3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,X3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,X3) )
& X3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,X3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,X3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,X3) )
& X3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,sK3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,sK3) )
& sK3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,sK3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,sK3) )
& sK3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
=> ( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,X5) )
| ( ~ r1_lattices(sK1,sK4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,X5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,X5) )
& sK3 = X5
& sK2 = sK4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(sK4,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,X5) )
| ( ~ r1_lattices(sK1,sK4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,X5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,X5) )
& sK3 = X5
& sK2 = sK4
& m1_subset_1(X5,u1_struct_0(sK1)) )
=> ( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,sK5) )
| ( ~ r1_lattices(sK1,sK4,sK5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) )
& sK3 = sK5
& sK2 = sK4
& m1_subset_1(sK5,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_filter_2) ).
fof(f195,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f143]) ).
fof(f197,plain,
( r1_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK2,sK3)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) ),
inference(cnf_transformation,[],[f143]) ).
fof(f2033,plain,
( spl26_61
| ~ spl26_8
| ~ spl26_143
| ~ spl26_204
| ~ spl26_205
| ~ spl26_234 ),
inference(avatar_split_clause,[],[f2032,f2026,f1682,f1677,f1206,f332,f599]) ).
fof(f2026,plain,
( spl26_234
<=> k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_234])]) ).
fof(f2032,plain,
( k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5)
| ~ spl26_8
| ~ spl26_143
| ~ spl26_204
| ~ spl26_205
| ~ spl26_234 ),
inference(forward_demodulation,[],[f2031,f1210]) ).
fof(f2031,plain,
( k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ spl26_204
| ~ spl26_205
| ~ spl26_234 ),
inference(forward_demodulation,[],[f2030,f1679]) ).
fof(f2030,plain,
( k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK0),sK4,sK5)
| ~ spl26_205
| ~ spl26_234 ),
inference(forward_demodulation,[],[f2028,f1684]) ).
fof(f2028,plain,
( k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ spl26_234 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2029,plain,
( spl26_234
| ~ spl26_5
| ~ spl26_141 ),
inference(avatar_split_clause,[],[f1194,f1191,f317,f2026]) ).
fof(f317,plain,
( spl26_5
<=> m1_subset_1(sK4,u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f1194,plain,
( k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ spl26_5
| ~ spl26_141 ),
inference(resolution,[],[f1192,f319]) ).
fof(f319,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f2012,plain,
( spl26_233
| ~ spl26_7
| ~ spl26_144
| ~ spl26_204
| ~ spl26_205
| ~ spl26_231 ),
inference(avatar_split_clause,[],[f2002,f1996,f1682,f1677,f1216,f327,f2009]) ).
fof(f2009,plain,
( spl26_233
<=> k1_lattices(sK1,sK5,sK4) = k1_lattices(sK0,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_233])]) ).
fof(f1996,plain,
( spl26_231
<=> k1_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_231])]) ).
fof(f2002,plain,
( k1_lattices(sK1,sK5,sK4) = k1_lattices(sK0,sK5,sK4)
| ~ spl26_7
| ~ spl26_144
| ~ spl26_204
| ~ spl26_205
| ~ spl26_231 ),
inference(forward_demodulation,[],[f2001,f1219]) ).
fof(f2001,plain,
( k1_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK5,sK4)
| ~ spl26_204
| ~ spl26_205
| ~ spl26_231 ),
inference(forward_demodulation,[],[f2000,f1679]) ).
fof(f2000,plain,
( k1_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK0),sK5,sK4)
| ~ spl26_205
| ~ spl26_231 ),
inference(forward_demodulation,[],[f1998,f1684]) ).
fof(f1998,plain,
( k1_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK5,sK4)
| ~ spl26_231 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2007,plain,
( spl26_232
| ~ spl26_149
| ~ spl26_213 ),
inference(avatar_split_clause,[],[f1829,f1818,f1242,f2004]) ).
fof(f2004,plain,
( spl26_232
<=> v1_relat_1(u2_lattices(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_232])]) ).
fof(f1818,plain,
( spl26_213
<=> m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_213])]) ).
fof(f1829,plain,
( v1_relat_1(u2_lattices(sK0))
| ~ spl26_149
| ~ spl26_213 ),
inference(resolution,[],[f1820,f1243]) ).
fof(f1820,plain,
( m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_213 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1999,plain,
( spl26_231
| ~ spl26_6
| ~ spl26_140 ),
inference(avatar_split_clause,[],[f1185,f1181,f322,f1996]) ).
fof(f1181,plain,
( spl26_140
<=> ! [X0] :
( k1_lattices(sK1,X0,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_140])]) ).
fof(f1185,plain,
( k1_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK5,sK4)
| ~ spl26_6
| ~ spl26_140 ),
inference(resolution,[],[f1182,f324]) ).
fof(f1182,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k1_lattices(sK1,X0,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK4) )
| ~ spl26_140 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1982,plain,
( spl26_230
| ~ spl26_8
| ~ spl26_144
| ~ spl26_204
| ~ spl26_205
| ~ spl26_229 ),
inference(avatar_split_clause,[],[f1977,f1971,f1682,f1677,f1216,f332,f1979]) ).
fof(f1979,plain,
( spl26_230
<=> k1_lattices(sK1,sK4,sK4) = k1_lattices(sK0,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_230])]) ).
fof(f1971,plain,
( spl26_229
<=> k1_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_229])]) ).
fof(f1977,plain,
( k1_lattices(sK1,sK4,sK4) = k1_lattices(sK0,sK4,sK4)
| ~ spl26_8
| ~ spl26_144
| ~ spl26_204
| ~ spl26_205
| ~ spl26_229 ),
inference(forward_demodulation,[],[f1976,f1220]) ).
fof(f1976,plain,
( k1_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK4)
| ~ spl26_204
| ~ spl26_205
| ~ spl26_229 ),
inference(forward_demodulation,[],[f1975,f1679]) ).
fof(f1975,plain,
( k1_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK0),sK4,sK4)
| ~ spl26_205
| ~ spl26_229 ),
inference(forward_demodulation,[],[f1973,f1684]) ).
fof(f1973,plain,
( k1_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK4)
| ~ spl26_229 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f1974,plain,
( spl26_229
| ~ spl26_5
| ~ spl26_140 ),
inference(avatar_split_clause,[],[f1184,f1181,f317,f1971]) ).
fof(f1184,plain,
( k1_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK4)
| ~ spl26_5
| ~ spl26_140 ),
inference(resolution,[],[f1182,f319]) ).
fof(f1969,plain,
( spl26_228
| ~ spl26_8
| ~ spl26_139 ),
inference(avatar_split_clause,[],[f1175,f1171,f332,f1966]) ).
fof(f1966,plain,
( spl26_228
<=> k2_lattices(sK0,sK4,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_228])]) ).
fof(f1171,plain,
( spl26_139
<=> ! [X0] :
( k2_lattices(sK0,X0,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_139])]) ).
fof(f1175,plain,
( k2_lattices(sK0,sK4,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK4)
| ~ spl26_8
| ~ spl26_139 ),
inference(resolution,[],[f1172,f334]) ).
fof(f1172,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_lattices(sK0,X0,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK4) )
| ~ spl26_139 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1964,plain,
( spl26_227
| ~ spl26_7
| ~ spl26_139 ),
inference(avatar_split_clause,[],[f1174,f1171,f327,f1961]) ).
fof(f1961,plain,
( spl26_227
<=> k2_lattices(sK0,sK5,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_227])]) ).
fof(f1174,plain,
( k2_lattices(sK0,sK5,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK5,sK4)
| ~ spl26_7
| ~ spl26_139 ),
inference(resolution,[],[f1172,f329]) ).
fof(f1959,plain,
( spl26_226
| ~ spl26_8
| ~ spl26_138 ),
inference(avatar_split_clause,[],[f1165,f1152,f332,f1956]) ).
fof(f1956,plain,
( spl26_226
<=> k2_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_226])]) ).
fof(f1152,plain,
( spl26_138
<=> ! [X0] :
( k2_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_138])]) ).
fof(f1165,plain,
( k2_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5)
| ~ spl26_8
| ~ spl26_138 ),
inference(resolution,[],[f1153,f334]) ).
fof(f1153,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK5) )
| ~ spl26_138 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1954,plain,
( spl26_225
| ~ spl26_7
| ~ spl26_138 ),
inference(avatar_split_clause,[],[f1164,f1152,f327,f1951]) ).
fof(f1951,plain,
( spl26_225
<=> k2_lattices(sK0,sK5,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_225])]) ).
fof(f1164,plain,
( k2_lattices(sK0,sK5,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK5,sK5)
| ~ spl26_7
| ~ spl26_138 ),
inference(resolution,[],[f1153,f329]) ).
fof(f1940,plain,
( spl26_224
| ~ spl26_7
| ~ spl26_138
| ~ spl26_204
| ~ spl26_206
| ~ spl26_223 ),
inference(avatar_split_clause,[],[f1935,f1929,f1687,f1677,f1152,f327,f1937]) ).
fof(f1937,plain,
( spl26_224
<=> k2_lattices(sK1,sK5,sK5) = k2_lattices(sK0,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_224])]) ).
fof(f1687,plain,
( spl26_206
<=> u1_lattices(sK0) = u1_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_206])]) ).
fof(f1929,plain,
( spl26_223
<=> k2_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_223])]) ).
fof(f1935,plain,
( k2_lattices(sK1,sK5,sK5) = k2_lattices(sK0,sK5,sK5)
| ~ spl26_7
| ~ spl26_138
| ~ spl26_204
| ~ spl26_206
| ~ spl26_223 ),
inference(forward_demodulation,[],[f1934,f1164]) ).
fof(f1934,plain,
( k2_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK5,sK5)
| ~ spl26_204
| ~ spl26_206
| ~ spl26_223 ),
inference(forward_demodulation,[],[f1933,f1679]) ).
fof(f1933,plain,
( k2_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK0),sK5,sK5)
| ~ spl26_206
| ~ spl26_223 ),
inference(forward_demodulation,[],[f1931,f1689]) ).
fof(f1689,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl26_206 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f1931,plain,
( k2_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK5,sK5)
| ~ spl26_223 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f1932,plain,
( spl26_223
| ~ spl26_6
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1146,f1142,f322,f1929]) ).
fof(f1142,plain,
( spl26_137
<=> ! [X0] :
( k2_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_137])]) ).
fof(f1146,plain,
( k2_lattices(sK1,sK5,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK5,sK5)
| ~ spl26_6
| ~ spl26_137 ),
inference(resolution,[],[f1143,f324]) ).
fof(f1143,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k2_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK5) )
| ~ spl26_137 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1924,plain,
( spl26_222
| spl26_109
| ~ spl26_73
| ~ spl26_221 ),
inference(avatar_split_clause,[],[f1919,f1903,f658,f907,f1921]) ).
fof(f1921,plain,
( spl26_222
<=> r2_hidden(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_222])]) ).
fof(f907,plain,
( spl26_109
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_109])]) ).
fof(f658,plain,
( spl26_73
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_73])]) ).
fof(f1903,plain,
( spl26_221
<=> m1_subset_1(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_221])]) ).
fof(f1919,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ spl26_73
| ~ spl26_221 ),
inference(resolution,[],[f1905,f659]) ).
fof(f659,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl26_73 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f1905,plain,
( m1_subset_1(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ spl26_221 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1906,plain,
( spl26_3
| ~ spl26_59
| spl26_221
| ~ spl26_7
| ~ spl26_8
| ~ spl26_62
| ~ spl26_89
| ~ spl26_204 ),
inference(avatar_split_clause,[],[f1901,f1677,f772,f603,f332,f327,f1903,f590,f307]) ).
fof(f590,plain,
( spl26_59
<=> l1_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_59])]) ).
fof(f772,plain,
( spl26_89
<=> ! [X2,X0,X1] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_89])]) ).
fof(f1901,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| m1_subset_1(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_62
| ~ spl26_89
| ~ spl26_204 ),
inference(forward_demodulation,[],[f1900,f1679]) ).
fof(f1900,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| m1_subset_1(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_62
| ~ spl26_89
| ~ spl26_204 ),
inference(forward_demodulation,[],[f1899,f1679]) ).
fof(f1899,plain,
( m1_subset_1(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_62
| ~ spl26_89
| ~ spl26_204 ),
inference(forward_demodulation,[],[f1894,f1679]) ).
fof(f1894,plain,
( m1_subset_1(k2_lattices(sK0,sK4,sK5),u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl26_62
| ~ spl26_89 ),
inference(superposition,[],[f773,f604]) ).
fof(f773,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_89 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f1892,plain,
( spl26_62
| ~ spl26_8
| ~ spl26_138
| ~ spl26_204
| ~ spl26_206
| ~ spl26_220 ),
inference(avatar_split_clause,[],[f1891,f1885,f1687,f1677,f1152,f332,f603]) ).
fof(f1885,plain,
( spl26_220
<=> k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_220])]) ).
fof(f1891,plain,
( k2_lattices(sK1,sK4,sK5) = k2_lattices(sK0,sK4,sK5)
| ~ spl26_8
| ~ spl26_138
| ~ spl26_204
| ~ spl26_206
| ~ spl26_220 ),
inference(forward_demodulation,[],[f1890,f1165]) ).
fof(f1890,plain,
( k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5)
| ~ spl26_204
| ~ spl26_206
| ~ spl26_220 ),
inference(forward_demodulation,[],[f1889,f1679]) ).
fof(f1889,plain,
( k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK0),sK4,sK5)
| ~ spl26_206
| ~ spl26_220 ),
inference(forward_demodulation,[],[f1887,f1689]) ).
fof(f1887,plain,
( k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| ~ spl26_220 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1888,plain,
( spl26_220
| ~ spl26_5
| ~ spl26_137 ),
inference(avatar_split_clause,[],[f1145,f1142,f317,f1885]) ).
fof(f1145,plain,
( k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| ~ spl26_5
| ~ spl26_137 ),
inference(resolution,[],[f1143,f319]) ).
fof(f1874,plain,
( spl26_219
| ~ spl26_7
| ~ spl26_139
| ~ spl26_204
| ~ spl26_206
| ~ spl26_217 ),
inference(avatar_split_clause,[],[f1864,f1858,f1687,f1677,f1171,f327,f1871]) ).
fof(f1871,plain,
( spl26_219
<=> k2_lattices(sK1,sK5,sK4) = k2_lattices(sK0,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_219])]) ).
fof(f1858,plain,
( spl26_217
<=> k2_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_217])]) ).
fof(f1864,plain,
( k2_lattices(sK1,sK5,sK4) = k2_lattices(sK0,sK5,sK4)
| ~ spl26_7
| ~ spl26_139
| ~ spl26_204
| ~ spl26_206
| ~ spl26_217 ),
inference(forward_demodulation,[],[f1863,f1174]) ).
fof(f1863,plain,
( k2_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK5,sK4)
| ~ spl26_204
| ~ spl26_206
| ~ spl26_217 ),
inference(forward_demodulation,[],[f1862,f1679]) ).
fof(f1862,plain,
( k2_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK0),sK5,sK4)
| ~ spl26_206
| ~ spl26_217 ),
inference(forward_demodulation,[],[f1860,f1689]) ).
fof(f1860,plain,
( k2_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK5,sK4)
| ~ spl26_217 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1869,plain,
( spl26_218
| ~ spl26_180
| ~ spl26_206 ),
inference(avatar_split_clause,[],[f1771,f1687,f1452,f1866]) ).
fof(f1866,plain,
( spl26_218
<=> v1_funct_1(u1_lattices(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_218])]) ).
fof(f1452,plain,
( spl26_180
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_180])]) ).
fof(f1771,plain,
( v1_funct_1(u1_lattices(sK0))
| ~ spl26_180
| ~ spl26_206 ),
inference(superposition,[],[f1453,f1689]) ).
fof(f1453,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ spl26_180 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1861,plain,
( spl26_217
| ~ spl26_6
| ~ spl26_136 ),
inference(avatar_split_clause,[],[f1136,f1132,f322,f1858]) ).
fof(f1132,plain,
( spl26_136
<=> ! [X0] :
( k2_lattices(sK1,X0,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_136])]) ).
fof(f1136,plain,
( k2_lattices(sK1,sK5,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK5,sK4)
| ~ spl26_6
| ~ spl26_136 ),
inference(resolution,[],[f1133,f324]) ).
fof(f1133,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k2_lattices(sK1,X0,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK4) )
| ~ spl26_136 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1847,plain,
( spl26_216
| ~ spl26_8
| ~ spl26_139
| ~ spl26_204
| ~ spl26_206
| ~ spl26_215 ),
inference(avatar_split_clause,[],[f1842,f1836,f1687,f1677,f1171,f332,f1844]) ).
fof(f1844,plain,
( spl26_216
<=> k2_lattices(sK1,sK4,sK4) = k2_lattices(sK0,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_216])]) ).
fof(f1836,plain,
( spl26_215
<=> k2_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_215])]) ).
fof(f1842,plain,
( k2_lattices(sK1,sK4,sK4) = k2_lattices(sK0,sK4,sK4)
| ~ spl26_8
| ~ spl26_139
| ~ spl26_204
| ~ spl26_206
| ~ spl26_215 ),
inference(forward_demodulation,[],[f1841,f1175]) ).
fof(f1841,plain,
( k2_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK4)
| ~ spl26_204
| ~ spl26_206
| ~ spl26_215 ),
inference(forward_demodulation,[],[f1840,f1679]) ).
fof(f1840,plain,
( k2_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK0),sK4,sK4)
| ~ spl26_206
| ~ spl26_215 ),
inference(forward_demodulation,[],[f1838,f1689]) ).
fof(f1838,plain,
( k2_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK4)
| ~ spl26_215 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1839,plain,
( spl26_215
| ~ spl26_5
| ~ spl26_136 ),
inference(avatar_split_clause,[],[f1135,f1132,f317,f1836]) ).
fof(f1135,plain,
( k2_lattices(sK1,sK4,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK4)
| ~ spl26_5
| ~ spl26_136 ),
inference(resolution,[],[f1133,f319]) ).
fof(f1826,plain,
( spl26_214
| ~ spl26_204
| ~ spl26_206
| ~ spl26_212 ),
inference(avatar_split_clause,[],[f1816,f1811,f1687,f1677,f1823]) ).
fof(f1811,plain,
( spl26_212
<=> m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_212])]) ).
fof(f1816,plain,
( m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_204
| ~ spl26_206
| ~ spl26_212 ),
inference(forward_demodulation,[],[f1815,f1689]) ).
fof(f1815,plain,
( m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_204
| ~ spl26_212 ),
inference(forward_demodulation,[],[f1813,f1679]) ).
fof(f1813,plain,
( m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl26_212 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f1821,plain,
( spl26_213
| ~ spl26_204
| ~ spl26_205
| ~ spl26_211 ),
inference(avatar_split_clause,[],[f1809,f1804,f1682,f1677,f1818]) ).
fof(f1804,plain,
( spl26_211
<=> 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,[spl26_211])]) ).
fof(f1809,plain,
( m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_204
| ~ spl26_205
| ~ spl26_211 ),
inference(forward_demodulation,[],[f1808,f1684]) ).
fof(f1808,plain,
( m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl26_204
| ~ spl26_211 ),
inference(forward_demodulation,[],[f1806,f1679]) ).
fof(f1806,plain,
( m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl26_211 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f1814,plain,
( spl26_212
| ~ spl26_77
| ~ spl26_182 ),
inference(avatar_split_clause,[],[f1648,f1460,f674,f1811]) ).
fof(f674,plain,
( spl26_77
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_77])]) ).
fof(f1460,plain,
( spl26_182
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_182])]) ).
fof(f1648,plain,
( m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl26_77
| ~ spl26_182 ),
inference(resolution,[],[f1461,f675]) ).
fof(f675,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl26_77 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1461,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl26_182 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1807,plain,
( spl26_211
| ~ spl26_77
| ~ spl26_179 ),
inference(avatar_split_clause,[],[f1572,f1448,f674,f1804]) ).
fof(f1448,plain,
( spl26_179
<=> m1_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,[spl26_179])]) ).
fof(f1572,plain,
( m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl26_77
| ~ spl26_179 ),
inference(resolution,[],[f1449,f675]) ).
fof(f1449,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl26_179 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1802,plain,
( spl26_210
| ~ spl26_177
| ~ spl26_205 ),
inference(avatar_split_clause,[],[f1757,f1682,f1440,f1799]) ).
fof(f1799,plain,
( spl26_210
<=> v1_funct_1(u2_lattices(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_210])]) ).
fof(f1440,plain,
( spl26_177
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_177])]) ).
fof(f1757,plain,
( v1_funct_1(u2_lattices(sK0))
| ~ spl26_177
| ~ spl26_205 ),
inference(superposition,[],[f1441,f1684]) ).
fof(f1441,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ spl26_177 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1797,plain,
( spl26_209
| ~ spl26_41
| ~ spl26_117 ),
inference(avatar_split_clause,[],[f1003,f959,f491,f1794]) ).
fof(f1794,plain,
( spl26_209
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_209])]) ).
fof(f491,plain,
( spl26_41
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_41])]) ).
fof(f959,plain,
( spl26_117
<=> l1_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_117])]) ).
fof(f1003,plain,
( l1_struct_0(sK25)
| ~ spl26_41
| ~ spl26_117 ),
inference(resolution,[],[f961,f492]) ).
fof(f492,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) )
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f961,plain,
( l1_lattices(sK25)
| ~ spl26_117 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1792,plain,
( spl26_208
| ~ spl26_41
| ~ spl26_116 ),
inference(avatar_split_clause,[],[f1002,f954,f491,f1789]) ).
fof(f1789,plain,
( spl26_208
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_208])]) ).
fof(f954,plain,
( spl26_116
<=> l1_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_116])]) ).
fof(f1002,plain,
( l1_struct_0(sK24)
| ~ spl26_41
| ~ spl26_116 ),
inference(resolution,[],[f956,f492]) ).
fof(f956,plain,
( l1_lattices(sK24)
| ~ spl26_116 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f1787,plain,
( spl26_207
| ~ spl26_41
| ~ spl26_115 ),
inference(avatar_split_clause,[],[f1001,f949,f491,f1784]) ).
fof(f1784,plain,
( spl26_207
<=> l1_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_207])]) ).
fof(f949,plain,
( spl26_115
<=> l1_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_115])]) ).
fof(f1001,plain,
( l1_struct_0(sK16)
| ~ spl26_41
| ~ spl26_115 ),
inference(resolution,[],[f951,f492]) ).
fof(f951,plain,
( l1_lattices(sK16)
| ~ spl26_115 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f1690,plain,
( spl26_206
| ~ spl26_203 ),
inference(avatar_split_clause,[],[f1675,f1671,f1687]) ).
fof(f1671,plain,
( spl26_203
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_203])]) ).
fof(f1675,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl26_203 ),
inference(equality_resolution,[],[f1672]) ).
fof(f1672,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2 )
| ~ spl26_203 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1685,plain,
( spl26_205
| ~ spl26_202 ),
inference(avatar_split_clause,[],[f1669,f1665,f1682]) ).
fof(f1665,plain,
( spl26_202
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_202])]) ).
fof(f1669,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl26_202 ),
inference(equality_resolution,[],[f1666]) ).
fof(f1666,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1 )
| ~ spl26_202 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1680,plain,
( spl26_204
| ~ spl26_183 ),
inference(avatar_split_clause,[],[f1663,f1464,f1677]) ).
fof(f1464,plain,
( spl26_183
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_183])]) ).
fof(f1663,plain,
( u1_struct_0(sK0) = u1_struct_0(sK1)
| ~ spl26_183 ),
inference(equality_resolution,[],[f1465]) ).
fof(f1465,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0 )
| ~ spl26_183 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1673,plain,
( ~ spl26_177
| ~ spl26_178
| ~ spl26_179
| ~ spl26_180
| ~ spl26_181
| ~ spl26_182
| spl26_203
| ~ spl26_39
| ~ spl26_103 ),
inference(avatar_split_clause,[],[f874,f860,f482,f1671,f1460,f1456,f1452,f1448,f1444,f1440]) ).
fof(f1444,plain,
( spl26_178
<=> 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,[spl26_178])]) ).
fof(f1456,plain,
( spl26_181
<=> 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,[spl26_181])]) ).
fof(f482,plain,
( spl26_39
<=> g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).
fof(f860,plain,
( spl26_103
<=> ! [X3,X4,X0,X5,X2,X1] :
( X2 = X5
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_103])]) ).
fof(f874,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),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_funct_1(u1_lattices(sK1))
| ~ m1_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_funct_1(u2_lattices(sK1)) )
| ~ spl26_39
| ~ spl26_103 ),
inference(superposition,[],[f861,f484]) ).
fof(f484,plain,
( g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| ~ spl26_39 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_103 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1667,plain,
( ~ spl26_177
| ~ spl26_178
| ~ spl26_179
| ~ spl26_180
| ~ spl26_181
| ~ spl26_182
| spl26_202
| ~ spl26_39
| ~ spl26_102 ),
inference(avatar_split_clause,[],[f866,f856,f482,f1665,f1460,f1456,f1452,f1448,f1444,f1440]) ).
fof(f856,plain,
( spl26_102
<=> ! [X2,X3,X4,X0,X5,X1] :
( X1 = X4
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_102])]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),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_funct_1(u1_lattices(sK1))
| ~ m1_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_funct_1(u2_lattices(sK1)) )
| ~ spl26_39
| ~ spl26_102 ),
inference(superposition,[],[f857,f484]) ).
fof(f857,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_102 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1661,plain,
( ~ spl26_59
| ~ spl26_82
| spl26_181 ),
inference(avatar_split_clause,[],[f1471,f1456,f733,f590]) ).
fof(f733,plain,
( spl26_82
<=> ! [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,[spl26_82])]) ).
fof(f1471,plain,
( ~ l1_lattices(sK1)
| ~ spl26_82
| spl26_181 ),
inference(resolution,[],[f1458,f734]) ).
fof(f734,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) )
| ~ spl26_82 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f1458,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl26_181 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1642,plain,
( ~ spl26_59
| ~ spl26_170
| spl26_182 ),
inference(avatar_split_clause,[],[f1473,f1460,f1383,f590]) ).
fof(f1383,plain,
( spl26_170
<=> ! [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,[spl26_170])]) ).
fof(f1473,plain,
( ~ l1_lattices(sK1)
| ~ spl26_170
| spl26_182 ),
inference(resolution,[],[f1462,f1384]) ).
fof(f1384,plain,
( ! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl26_170 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1462,plain,
( ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl26_182 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1633,plain,
( spl26_201
| ~ spl26_93
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f840,f825,f791,f1631]) ).
fof(f1631,plain,
( spl26_201
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| k2_lattices(X5,X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0)) = k2_binop_1(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),u1_lattices(X5),X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ l1_lattices(X5)
| v3_struct_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_201])]) ).
fof(f791,plain,
( spl26_93
<=> ! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_93])]) ).
fof(f825,plain,
( spl26_97
<=> ! [X3,X4,X0,X5,X2,X1] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_97])]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| k2_lattices(X5,X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0)) = k2_binop_1(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),u1_lattices(X5),X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ l1_lattices(X5)
| v3_struct_0(X5) )
| ~ spl26_93
| ~ spl26_97 ),
inference(resolution,[],[f826,f792]) ).
fof(f792,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_93 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f826,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_97 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f1629,plain,
( spl26_200
| ~ spl26_94
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f839,f825,f795,f1627]) ).
fof(f1627,plain,
( spl26_200
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| k1_lattices(X5,X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0)) = k2_binop_1(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),u2_lattices(X5),X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ l2_lattices(X5)
| v3_struct_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_200])]) ).
fof(f795,plain,
( spl26_94
<=> ! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_94])]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),u1_struct_0(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| k1_lattices(X5,X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0)) = k2_binop_1(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),u2_lattices(X5),X6,k2_binop_1(X3,X1,u1_struct_0(X5),X4,X2,X0))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ l2_lattices(X5)
| v3_struct_0(X5) )
| ~ spl26_94
| ~ spl26_97 ),
inference(resolution,[],[f826,f796]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_94 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1625,plain,
( spl26_199
| ~ spl26_58
| ~ spl26_100 ),
inference(avatar_split_clause,[],[f850,f847,f586,f1623]) ).
fof(f1623,plain,
( spl26_199
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X3,X1,X4,sK10(k2_zfmisc_1(X3,X1),X4),X2,X0) = k1_binop_1(sK10(k2_zfmisc_1(X3,X1),X4),X2,X0)
| ~ v1_funct_2(sK10(k2_zfmisc_1(X3,X1),X4),k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X3,X1),X4))
| v1_xboole_0(X1)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_199])]) ).
fof(f586,plain,
( spl26_58
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_58])]) ).
fof(f847,plain,
( spl26_100
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_100])]) ).
fof(f850,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| k2_binop_1(X3,X1,X4,sK10(k2_zfmisc_1(X3,X1),X4),X2,X0) = k1_binop_1(sK10(k2_zfmisc_1(X3,X1),X4),X2,X0)
| ~ v1_funct_2(sK10(k2_zfmisc_1(X3,X1),X4),k2_zfmisc_1(X3,X1),X4)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X3,X1),X4))
| v1_xboole_0(X1)
| v1_xboole_0(X3) )
| ~ spl26_58
| ~ spl26_100 ),
inference(resolution,[],[f848,f587]) ).
fof(f587,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl26_58 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f848,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl26_100 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f1620,plain,
( spl26_198
| ~ spl26_58
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f845,f842,f586,f1618]) ).
fof(f1618,plain,
( spl26_198
<=> ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_198])]) ).
fof(f842,plain,
( spl26_99
<=> ! [X2,X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_99])]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl26_58
| ~ spl26_99 ),
inference(resolution,[],[f843,f587]) ).
fof(f843,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl26_99 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1616,plain,
( spl26_197
| ~ spl26_75
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f836,f825,f666,f1614]) ).
fof(f1614,plain,
( spl26_197
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_relat_1(k2_binop_1(X3,X1,k1_zfmisc_1(k2_zfmisc_1(X5,X6)),X4,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_197])]) ).
fof(f666,plain,
( spl26_75
<=> ! [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,[spl26_75])]) ).
fof(f836,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_relat_1(k2_binop_1(X3,X1,k1_zfmisc_1(k2_zfmisc_1(X5,X6)),X4,X2,X0)) )
| ~ spl26_75
| ~ spl26_97 ),
inference(resolution,[],[f826,f667]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl26_75 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1612,plain,
( ~ spl26_72
| ~ spl26_84
| spl26_178 ),
inference(avatar_split_clause,[],[f1469,f1444,f741,f647]) ).
fof(f741,plain,
( spl26_84
<=> ! [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,[spl26_84])]) ).
fof(f1469,plain,
( ~ l2_lattices(sK1)
| ~ spl26_84
| spl26_178 ),
inference(resolution,[],[f1446,f742]) ).
fof(f742,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) )
| ~ spl26_84 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f1446,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl26_178 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1591,plain,
( spl26_196
| ~ spl26_89
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f815,f795,f772,f1589]) ).
fof(f1589,plain,
( spl26_196
<=> ! [X0,X3,X2,X1] :
( k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k2_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_196])]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1] :
( k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k2_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl26_89
| ~ spl26_94 ),
inference(duplicate_literal_removal,[],[f811]) ).
fof(f811,plain,
( ! [X2,X3,X0,X1] :
( k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k2_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_89
| ~ spl26_94 ),
inference(resolution,[],[f796,f773]) ).
fof(f1587,plain,
( spl26_195
| ~ spl26_90
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f805,f791,f776,f1585]) ).
fof(f1585,plain,
( spl26_195
<=> ! [X0,X3,X2,X1] :
( k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k1_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_195])]) ).
fof(f805,plain,
( ! [X2,X3,X0,X1] :
( k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k1_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl26_90
| ~ spl26_93 ),
inference(duplicate_literal_removal,[],[f803]) ).
fof(f803,plain,
( ! [X2,X3,X0,X1] :
( k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k1_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_90
| ~ spl26_93 ),
inference(resolution,[],[f792,f777]) ).
fof(f1581,plain,
( spl26_194
| ~ spl26_81
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f837,f825,f715,f1579]) ).
fof(f1579,plain,
( spl26_194
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| m1_subset_1(X6,X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_194])]) ).
fof(f715,plain,
( spl26_81
<=> ! [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,[spl26_81])]) ).
fof(f837,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| m1_subset_1(X6,X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) )
| ~ spl26_81
| ~ spl26_97 ),
inference(resolution,[],[f826,f716]) ).
fof(f716,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl26_81 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f1577,plain,
( spl26_193
| ~ spl26_58
| ~ spl26_96 ),
inference(avatar_split_clause,[],[f829,f821,f586,f1575]) ).
fof(f1575,plain,
( spl26_193
<=> ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_193])]) ).
fof(f821,plain,
( spl26_96
<=> ! [X2,X0,X1] :
( l3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_96])]) ).
fof(f829,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_58
| ~ spl26_96 ),
inference(resolution,[],[f822,f587]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,X2))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_96 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1567,plain,
( ~ spl26_72
| ~ spl26_171
| spl26_179 ),
inference(avatar_split_clause,[],[f1470,f1448,f1387,f647]) ).
fof(f1387,plain,
( spl26_171
<=> ! [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,[spl26_171])]) ).
fof(f1470,plain,
( ~ l2_lattices(sK1)
| ~ spl26_171
| spl26_179 ),
inference(resolution,[],[f1450,f1388]) ).
fof(f1388,plain,
( ! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl26_171 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1450,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl26_179 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1566,plain,
( spl26_192
| ~ spl26_58
| ~ spl26_95 ),
inference(avatar_split_clause,[],[f828,f817,f586,f1564]) ).
fof(f1564,plain,
( spl26_192
<=> ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_192])]) ).
fof(f817,plain,
( spl26_95
<=> ! [X2,X0,X1] :
( v3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_95])]) ).
fof(f828,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_58
| ~ spl26_95 ),
inference(resolution,[],[f818,f587]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,X2))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_95 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1540,plain,
( spl26_191
| ~ spl26_78
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f838,f825,f697,f1538]) ).
fof(f1538,plain,
( spl26_191
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_191])]) ).
fof(f697,plain,
( spl26_78
<=> ! [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,[spl26_78])]) ).
fof(f838,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),k1_zfmisc_1(X5))
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X5)
| ~ r2_hidden(X6,k2_binop_1(X3,X1,k1_zfmisc_1(X5),X4,X2,X0)) )
| ~ spl26_78
| ~ spl26_97 ),
inference(resolution,[],[f826,f698]) ).
fof(f698,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl26_78 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1536,plain,
( spl26_190
| ~ spl26_90
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f814,f795,f776,f1534]) ).
fof(f1534,plain,
( spl26_190
<=> ! [X0,X3,X2,X1] :
( k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k1_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_190])]) ).
fof(f814,plain,
( ! [X2,X3,X0,X1] :
( k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k1_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl26_90
| ~ spl26_94 ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f812,plain,
( ! [X2,X3,X0,X1] :
( k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k1_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_90
| ~ spl26_94 ),
inference(resolution,[],[f796,f777]) ).
fof(f1532,plain,
( spl26_189
| ~ spl26_89
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f806,f791,f772,f1530]) ).
fof(f1530,plain,
( spl26_189
<=> ! [X0,X3,X2,X1] :
( k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k2_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_189])]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] :
( k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k2_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl26_89
| ~ spl26_93 ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f802,plain,
( ! [X2,X3,X0,X1] :
( k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k2_lattices(X0,X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_89
| ~ spl26_93 ),
inference(resolution,[],[f792,f773]) ).
fof(f1520,plain,
( spl26_188
| ~ spl26_73
| ~ spl26_97 ),
inference(avatar_split_clause,[],[f835,f825,f658,f1518]) ).
fof(f1518,plain,
( spl26_188
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X5)
| r2_hidden(k2_binop_1(X3,X1,X5,X4,X2,X0),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_188])]) ).
fof(f835,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X1),X5)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X5)
| r2_hidden(k2_binop_1(X3,X1,X5,X4,X2,X0),X5) )
| ~ spl26_73
| ~ spl26_97 ),
inference(resolution,[],[f826,f659]) ).
fof(f1516,plain,
( ~ spl26_59
| ~ spl26_50
| spl26_180 ),
inference(avatar_split_clause,[],[f1468,f1452,f548,f590]) ).
fof(f548,plain,
( spl26_50
<=> ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_50])]) ).
fof(f1468,plain,
( ~ l1_lattices(sK1)
| ~ spl26_50
| spl26_180 ),
inference(resolution,[],[f1454,f549]) ).
fof(f549,plain,
( ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl26_50 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1454,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl26_180 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1495,plain,
( spl26_187
| ~ spl26_46
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f813,f795,f511,f1493]) ).
fof(f1493,plain,
( spl26_187
<=> ! [X0,X1] :
( k1_lattices(X0,X1,sK8(u1_struct_0(X0))) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK8(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_187])]) ).
fof(f511,plain,
( spl26_46
<=> ! [X0] : m1_subset_1(sK8(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f813,plain,
( ! [X0,X1] :
( k1_lattices(X0,X1,sK8(u1_struct_0(X0))) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK8(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_46
| ~ spl26_94 ),
inference(resolution,[],[f796,f512]) ).
fof(f512,plain,
( ! [X0] : m1_subset_1(sK8(X0),X0)
| ~ spl26_46 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f1491,plain,
( spl26_186
| ~ spl26_46
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f804,f791,f511,f1489]) ).
fof(f1489,plain,
( spl26_186
<=> ! [X0,X1] :
( k2_lattices(X0,X1,sK8(u1_struct_0(X0))) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK8(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_186])]) ).
fof(f804,plain,
( ! [X0,X1] :
( k2_lattices(X0,X1,sK8(u1_struct_0(X0))) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK8(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl26_46
| ~ spl26_93 ),
inference(resolution,[],[f792,f512]) ).
fof(f1481,plain,
( spl26_185
| ~ spl26_73
| ~ spl26_90 ),
inference(avatar_split_clause,[],[f780,f776,f658,f1479]) ).
fof(f1479,plain,
( spl26_185
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k1_lattices(X1,X2,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_185])]) ).
fof(f780,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k1_lattices(X1,X2,X0),u1_struct_0(X1)) )
| ~ spl26_73
| ~ spl26_90 ),
inference(resolution,[],[f777,f659]) ).
fof(f1477,plain,
( spl26_184
| ~ spl26_73
| ~ spl26_89 ),
inference(avatar_split_clause,[],[f779,f772,f658,f1475]) ).
fof(f1475,plain,
( spl26_184
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k2_lattices(X1,X2,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_184])]) ).
fof(f779,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k2_lattices(X1,X2,X0),u1_struct_0(X1)) )
| ~ spl26_73
| ~ spl26_89 ),
inference(resolution,[],[f773,f659]) ).
fof(f1472,plain,
( ~ spl26_72
| ~ spl26_51
| spl26_177 ),
inference(avatar_split_clause,[],[f1467,f1440,f552,f647]) ).
fof(f552,plain,
( spl26_51
<=> ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_51])]) ).
fof(f1467,plain,
( ~ l2_lattices(sK1)
| ~ spl26_51
| spl26_177 ),
inference(resolution,[],[f1442,f553]) ).
fof(f553,plain,
( ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl26_51 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f1442,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl26_177 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1466,plain,
( ~ spl26_177
| ~ spl26_178
| ~ spl26_179
| ~ spl26_180
| ~ spl26_181
| ~ spl26_182
| spl26_183
| ~ spl26_39
| ~ spl26_101 ),
inference(avatar_split_clause,[],[f863,f852,f482,f1464,f1460,f1456,f1452,f1448,f1444,f1440]) ).
fof(f852,plain,
( spl26_101
<=> ! [X2,X4,X0,X5,X3,X1] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_101])]) ).
fof(f863,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),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_funct_1(u1_lattices(sK1))
| ~ m1_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_funct_1(u2_lattices(sK1)) )
| ~ spl26_39
| ~ spl26_101 ),
inference(superposition,[],[f853,f484]) ).
fof(f853,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_101 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1433,plain,
( ~ spl26_122
| spl26_176
| ~ spl26_15
| ~ spl26_26
| ~ spl26_27
| ~ spl26_52
| ~ spl26_88 ),
inference(avatar_split_clause,[],[f770,f763,f556,f427,f422,f367,f1431,f985]) ).
fof(f985,plain,
( spl26_122
<=> v1_funct_1(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_122])]) ).
fof(f1431,plain,
( spl26_176
<=> ! [X0,X1] : k1_binop_1(sK17,X0,X1) = k1_funct_1(sK17,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_176])]) ).
fof(f367,plain,
( spl26_15
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f422,plain,
( spl26_26
<=> v1_relat_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f427,plain,
( spl26_27
<=> v1_xboole_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f556,plain,
( spl26_52
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_52])]) ).
fof(f763,plain,
( spl26_88
<=> ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_88])]) ).
fof(f770,plain,
( ! [X0,X1] :
( k1_binop_1(sK17,X0,X1) = k1_funct_1(sK17,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1)))
| ~ v1_funct_1(sK17) )
| ~ spl26_15
| ~ spl26_26
| ~ spl26_27
| ~ spl26_52
| ~ spl26_88 ),
inference(forward_demodulation,[],[f769,f576]) ).
fof(f576,plain,
( sK17 = sK23
| ~ spl26_15
| ~ spl26_27
| ~ spl26_52 ),
inference(forward_demodulation,[],[f575,f574]) ).
fof(f574,plain,
( k1_xboole_0 = sK17
| ~ spl26_15
| ~ spl26_52 ),
inference(resolution,[],[f557,f369]) ).
fof(f369,plain,
( v1_xboole_0(sK17)
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f557,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl26_52 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f575,plain,
( k1_xboole_0 = sK23
| ~ spl26_27
| ~ spl26_52 ),
inference(resolution,[],[f557,f429]) ).
fof(f429,plain,
( v1_xboole_0(sK23)
| ~ spl26_27 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f769,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK17)
| k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) )
| ~ spl26_15
| ~ spl26_26
| ~ spl26_27
| ~ spl26_52
| ~ spl26_88 ),
inference(forward_demodulation,[],[f768,f576]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK23)
| k1_binop_1(sK23,X0,X1) = k1_funct_1(sK23,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) )
| ~ spl26_26
| ~ spl26_88 ),
inference(resolution,[],[f764,f424]) ).
fof(f424,plain,
( v1_relat_1(sK23)
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2))) )
| ~ spl26_88 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1427,plain,
( spl26_175
| ~ spl26_25
| ~ spl26_24
| ~ spl26_88 ),
inference(avatar_split_clause,[],[f767,f763,f412,f417,f1425]) ).
fof(f1425,plain,
( spl26_175
<=> ! [X0,X1] : k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_175])]) ).
fof(f417,plain,
( spl26_25
<=> v1_funct_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_25])]) ).
fof(f412,plain,
( spl26_24
<=> v1_relat_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK22)
| k1_binop_1(sK22,X0,X1) = k1_funct_1(sK22,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) )
| ~ spl26_24
| ~ spl26_88 ),
inference(resolution,[],[f764,f414]) ).
fof(f414,plain,
( v1_relat_1(sK22)
| ~ spl26_24 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f1421,plain,
( spl26_174
| ~ spl26_23
| ~ spl26_22
| ~ spl26_88 ),
inference(avatar_split_clause,[],[f766,f763,f402,f407,f1419]) ).
fof(f1419,plain,
( spl26_174
<=> ! [X0,X1] : k1_binop_1(sK21,X0,X1) = k1_funct_1(sK21,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_174])]) ).
fof(f407,plain,
( spl26_23
<=> v1_funct_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).
fof(f402,plain,
( spl26_22
<=> v1_relat_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f766,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK21)
| k1_binop_1(sK21,X0,X1) = k1_funct_1(sK21,k2_tarski(k1_tarski(X0),k2_tarski(X0,X1))) )
| ~ spl26_22
| ~ spl26_88 ),
inference(resolution,[],[f764,f404]) ).
fof(f404,plain,
( v1_relat_1(sK21)
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f1417,plain,
( spl26_173
| ~ spl26_73
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f722,f711,f658,f1415]) ).
fof(f1415,plain,
( spl26_173
<=> ! [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,[spl26_173])]) ).
fof(f711,plain,
( spl26_80
<=> ! [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,[spl26_80])]) ).
fof(f722,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))) )
| ~ spl26_73
| ~ spl26_80 ),
inference(resolution,[],[f712,f659]) ).
fof(f712,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl26_80 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f1410,plain,
( spl26_172
| ~ spl26_73
| ~ spl26_79 ),
inference(avatar_split_clause,[],[f719,f707,f658,f1408]) ).
fof(f1408,plain,
( spl26_172
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_172])]) ).
fof(f707,plain,
( spl26_79
<=> ! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_79])]) ).
fof(f719,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl26_73
| ~ spl26_79 ),
inference(resolution,[],[f708,f659]) ).
fof(f708,plain,
( ! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl26_79 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f1389,plain,
( spl26_171
| ~ spl26_76
| ~ spl26_85 ),
inference(avatar_split_clause,[],[f749,f745,f670,f1387]) ).
fof(f670,plain,
( spl26_76
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_76])]) ).
fof(f745,plain,
( spl26_85
<=> ! [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,[spl26_85])]) ).
fof(f749,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)) )
| ~ spl26_76
| ~ spl26_85 ),
inference(resolution,[],[f746,f671]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl26_76 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f746,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) )
| ~ spl26_85 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f1385,plain,
( spl26_170
| ~ spl26_76
| ~ spl26_83 ),
inference(avatar_split_clause,[],[f748,f737,f670,f1383]) ).
fof(f737,plain,
( spl26_83
<=> ! [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,[spl26_83])]) ).
fof(f748,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)) )
| ~ spl26_76
| ~ spl26_83 ),
inference(resolution,[],[f738,f671]) ).
fof(f738,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) )
| ~ spl26_83 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f1381,plain,
( spl26_169
| ~ spl26_80
| ~ spl26_81 ),
inference(avatar_split_clause,[],[f727,f715,f711,f1379]) ).
fof(f1379,plain,
( spl26_169
<=> ! [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,[spl26_169])]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl26_80
| ~ spl26_81 ),
inference(resolution,[],[f716,f712]) ).
fof(f1377,plain,
( spl26_168
| ~ spl26_79
| ~ spl26_81 ),
inference(avatar_split_clause,[],[f726,f715,f707,f1375]) ).
fof(f1375,plain,
( spl26_168
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK7(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_168])]) ).
fof(f726,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK7(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl26_79
| ~ spl26_81 ),
inference(resolution,[],[f716,f708]) ).
fof(f1363,plain,
( ~ spl26_32
| spl26_167
| ~ spl26_33
| ~ spl26_86 ),
inference(avatar_split_clause,[],[f755,f751,f457,f1360,f452]) ).
fof(f452,plain,
( spl26_32
<=> l3_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f1360,plain,
( spl26_167
<=> sK25 = g3_lattices(u1_struct_0(sK25),u2_lattices(sK25),u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_167])]) ).
fof(f457,plain,
( spl26_33
<=> v3_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).
fof(f751,plain,
( spl26_86
<=> ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_86])]) ).
fof(f755,plain,
( sK25 = g3_lattices(u1_struct_0(sK25),u2_lattices(sK25),u1_lattices(sK25))
| ~ l3_lattices(sK25)
| ~ spl26_33
| ~ spl26_86 ),
inference(resolution,[],[f752,f459]) ).
fof(f459,plain,
( v3_lattices(sK25)
| ~ spl26_33 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f752,plain,
( ! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) )
| ~ spl26_86 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1352,plain,
( ~ spl26_29
| spl26_166
| ~ spl26_31
| ~ spl26_86 ),
inference(avatar_split_clause,[],[f754,f751,f447,f1349,f437]) ).
fof(f437,plain,
( spl26_29
<=> l3_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f1349,plain,
( spl26_166
<=> sK24 = g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_166])]) ).
fof(f447,plain,
( spl26_31
<=> v3_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).
fof(f754,plain,
( sK24 = g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24))
| ~ l3_lattices(sK24)
| ~ spl26_31
| ~ spl26_86 ),
inference(resolution,[],[f752,f449]) ).
fof(f449,plain,
( v3_lattices(sK24)
| ~ spl26_31 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1347,plain,
( spl26_165
| ~ spl26_78
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f721,f711,f697,f1345]) ).
fof(f1345,plain,
( spl26_165
<=> ! [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,[spl26_165])]) ).
fof(f721,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl26_78
| ~ spl26_80 ),
inference(resolution,[],[f712,f698]) ).
fof(f1337,plain,
( spl26_164
| ~ spl26_39
| ~ spl26_103 ),
inference(avatar_split_clause,[],[f875,f860,f482,f1335]) ).
fof(f1335,plain,
( spl26_164
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_164])]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_39
| ~ spl26_103 ),
inference(superposition,[],[f861,f484]) ).
fof(f1333,plain,
( spl26_163
| ~ spl26_39
| ~ spl26_102 ),
inference(avatar_split_clause,[],[f867,f856,f482,f1331]) ).
fof(f1331,plain,
( spl26_163
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_163])]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_39
| ~ spl26_102 ),
inference(superposition,[],[f857,f484]) ).
fof(f1329,plain,
( spl26_162
| ~ spl26_39
| ~ spl26_101 ),
inference(avatar_split_clause,[],[f864,f852,f482,f1327]) ).
fof(f1327,plain,
( spl26_162
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_162])]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl26_39
| ~ spl26_101 ),
inference(superposition,[],[f853,f484]) ).
fof(f1319,plain,
( spl26_161
| ~ spl26_70
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f684,f658,f637,f1317]) ).
fof(f1317,plain,
( spl26_161
<=> ! [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,[spl26_161])]) ).
fof(f637,plain,
( spl26_70
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_70])]) ).
fof(f684,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl26_70
| ~ spl26_73 ),
inference(resolution,[],[f659,f638]) ).
fof(f638,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl26_70 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f1315,plain,
( spl26_160
| ~ spl26_66
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f683,f658,f621,f1313]) ).
fof(f1313,plain,
( spl26_160
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_160])]) ).
fof(f621,plain,
( spl26_66
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_66])]) ).
fof(f683,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl26_66
| ~ spl26_73 ),
inference(resolution,[],[f659,f622]) ).
fof(f622,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl26_66 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1311,plain,
( ~ spl26_159
| ~ spl26_56
| ~ spl26_110 ),
inference(avatar_split_clause,[],[f1163,f915,f578,f1308]) ).
fof(f1308,plain,
( spl26_159
<=> r2_hidden(u1_struct_0(sK0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_159])]) ).
fof(f578,plain,
( spl26_56
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_56])]) ).
fof(f915,plain,
( spl26_110
<=> r2_hidden(sK4,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_110])]) ).
fof(f1163,plain,
( ~ r2_hidden(u1_struct_0(sK0),sK4)
| ~ spl26_56
| ~ spl26_110 ),
inference(resolution,[],[f917,f579]) ).
fof(f579,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl26_56 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f917,plain,
( r2_hidden(sK4,u1_struct_0(sK0))
| ~ spl26_110 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1303,plain,
( spl26_158
| ~ spl26_70
| ~ spl26_81 ),
inference(avatar_split_clause,[],[f725,f715,f637,f1301]) ).
fof(f1301,plain,
( spl26_158
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_158])]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl26_70
| ~ spl26_81 ),
inference(resolution,[],[f716,f638]) ).
fof(f1299,plain,
( spl26_157
| ~ spl26_66
| ~ spl26_81 ),
inference(avatar_split_clause,[],[f724,f715,f621,f1297]) ).
fof(f1297,plain,
( spl26_157
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_157])]) ).
fof(f724,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(X1) )
| ~ spl26_66
| ~ spl26_81 ),
inference(resolution,[],[f716,f622]) ).
fof(f1295,plain,
( spl26_156
| ~ spl26_66
| ~ spl26_75 ),
inference(avatar_split_clause,[],[f688,f666,f621,f1293]) ).
fof(f1293,plain,
( spl26_156
<=> ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_156])]) ).
fof(f688,plain,
( ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl26_66
| ~ spl26_75 ),
inference(resolution,[],[f667,f622]) ).
fof(f1289,plain,
( spl26_155
| ~ spl26_46
| ~ spl26_81 ),
inference(avatar_split_clause,[],[f728,f715,f511,f1287]) ).
fof(f1287,plain,
( spl26_155
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK8(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_155])]) ).
fof(f728,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK8(k1_zfmisc_1(X1))) )
| ~ spl26_46
| ~ spl26_81 ),
inference(resolution,[],[f716,f512]) ).
fof(f1285,plain,
( spl26_154
| ~ spl26_70
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f702,f697,f637,f1283]) ).
fof(f1283,plain,
( spl26_154
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_154])]) ).
fof(f702,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl26_70
| ~ spl26_78 ),
inference(resolution,[],[f698,f638]) ).
fof(f1276,plain,
( spl26_153
| ~ spl26_46
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f703,f697,f511,f1274]) ).
fof(f1274,plain,
( spl26_153
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK8(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_153])]) ).
fof(f703,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK8(k1_zfmisc_1(X0))) )
| ~ spl26_46
| ~ spl26_78 ),
inference(resolution,[],[f698,f512]) ).
fof(f1272,plain,
( spl26_152
| ~ spl26_70
| ~ spl26_75 ),
inference(avatar_split_clause,[],[f689,f666,f637,f1270]) ).
fof(f1270,plain,
( spl26_152
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_152])]) ).
fof(f689,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl26_70
| ~ spl26_75 ),
inference(resolution,[],[f667,f638]) ).
fof(f1268,plain,
( spl26_151
| ~ spl26_15
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f686,f658,f560,f556,f474,f367,f1266]) ).
fof(f1266,plain,
( spl26_151
<=> ! [X0] :
( r2_hidden(sK17,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_151])]) ).
fof(f474,plain,
( spl26_37
<=> ! [X0] : v1_xboole_0(sK9(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_37])]) ).
fof(f560,plain,
( spl26_53
<=> ! [X0] : m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_53])]) ).
fof(f686,plain,
( ! [X0] :
( r2_hidden(sK17,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl26_15
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_73 ),
inference(forward_demodulation,[],[f685,f574]) ).
fof(f685,plain,
( ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_73 ),
inference(forward_demodulation,[],[f682,f573]) ).
fof(f573,plain,
( ! [X0] : k1_xboole_0 = sK9(X0)
| ~ spl26_37
| ~ spl26_52 ),
inference(resolution,[],[f557,f475]) ).
fof(f475,plain,
( ! [X0] : v1_xboole_0(sK9(X0))
| ~ spl26_37 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f682,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK9(X0),k1_zfmisc_1(X0)) )
| ~ spl26_53
| ~ spl26_73 ),
inference(resolution,[],[f659,f561]) ).
fof(f561,plain,
( ! [X0] : m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| ~ spl26_53 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1253,plain,
( ~ spl26_150
| ~ spl26_56
| ~ spl26_107 ),
inference(avatar_split_clause,[],[f1055,f890,f578,f1250]) ).
fof(f1250,plain,
( spl26_150
<=> r2_hidden(u1_struct_0(sK1),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_150])]) ).
fof(f890,plain,
( spl26_107
<=> r2_hidden(sK5,u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_107])]) ).
fof(f1055,plain,
( ~ r2_hidden(u1_struct_0(sK1),sK5)
| ~ spl26_56
| ~ spl26_107 ),
inference(resolution,[],[f892,f579]) ).
fof(f892,plain,
( r2_hidden(sK5,u1_struct_0(sK1))
| ~ spl26_107 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1244,plain,
( spl26_149
| ~ spl26_75
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f720,f711,f666,f1242]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl26_75
| ~ spl26_80 ),
inference(resolution,[],[f712,f667]) ).
fof(f1240,plain,
( spl26_148
| ~ spl26_58
| ~ spl26_77 ),
inference(avatar_split_clause,[],[f695,f674,f586,f1238]) ).
fof(f1238,plain,
( spl26_148
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_148])]) ).
fof(f695,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl26_58
| ~ spl26_77 ),
inference(resolution,[],[f675,f587]) ).
fof(f1236,plain,
( spl26_147
| ~ spl26_60
| ~ spl26_76 ),
inference(avatar_split_clause,[],[f694,f670,f595,f1234]) ).
fof(f1234,plain,
( spl26_147
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_147])]) ).
fof(f595,plain,
( spl26_60
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_60])]) ).
fof(f694,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl26_60
| ~ spl26_76 ),
inference(resolution,[],[f671,f596]) ).
fof(f596,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl26_60 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1232,plain,
( spl26_146
| ~ spl26_46
| ~ spl26_75 ),
inference(avatar_split_clause,[],[f690,f666,f511,f1230]) ).
fof(f1230,plain,
( spl26_146
<=> ! [X0,X1] : v1_relat_1(sK8(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_146])]) ).
fof(f690,plain,
( ! [X0,X1] : v1_relat_1(sK8(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl26_46
| ~ spl26_75 ),
inference(resolution,[],[f667,f512]) ).
fof(f1228,plain,
( spl26_145
| ~ spl26_46
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f681,f658,f511,f1226]) ).
fof(f1226,plain,
( spl26_145
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK8(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_145])]) ).
fof(f681,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK8(X0),X0) )
| ~ spl26_46
| ~ spl26_73 ),
inference(resolution,[],[f659,f512]) ).
fof(f1218,plain,
( spl26_1
| ~ spl26_65
| spl26_144
| ~ spl26_8
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f810,f795,f332,f1216,f616,f297]) ).
fof(f810,plain,
( ! [X0] :
( k1_lattices(sK0,X0,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_8
| ~ spl26_94 ),
inference(resolution,[],[f796,f334]) ).
fof(f1208,plain,
( spl26_1
| ~ spl26_65
| spl26_143
| ~ spl26_7
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f809,f795,f327,f1206,f616,f297]) ).
fof(f809,plain,
( ! [X0] :
( k1_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_7
| ~ spl26_94 ),
inference(resolution,[],[f796,f329]) ).
fof(f1204,plain,
( ~ spl26_142
| ~ spl26_56
| ~ spl26_108 ),
inference(avatar_split_clause,[],[f912,f903,f578,f1201]) ).
fof(f1201,plain,
( spl26_142
<=> r2_hidden(u1_struct_0(sK0),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_142])]) ).
fof(f903,plain,
( spl26_108
<=> r2_hidden(sK5,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_108])]) ).
fof(f912,plain,
( ~ r2_hidden(u1_struct_0(sK0),sK5)
| ~ spl26_56
| ~ spl26_108 ),
inference(resolution,[],[f905,f579]) ).
fof(f905,plain,
( r2_hidden(sK5,u1_struct_0(sK0))
| ~ spl26_108 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f1193,plain,
( spl26_3
| ~ spl26_72
| spl26_141
| ~ spl26_6
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f808,f795,f322,f1191,f647,f307]) ).
fof(f808,plain,
( ! [X0] :
( k1_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1) )
| ~ spl26_6
| ~ spl26_94 ),
inference(resolution,[],[f796,f324]) ).
fof(f1183,plain,
( spl26_3
| ~ spl26_72
| spl26_140
| ~ spl26_5
| ~ spl26_94 ),
inference(avatar_split_clause,[],[f807,f795,f317,f1181,f647,f307]) ).
fof(f807,plain,
( ! [X0] :
( k1_lattices(sK1,X0,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1) )
| ~ spl26_5
| ~ spl26_94 ),
inference(resolution,[],[f796,f319]) ).
fof(f1173,plain,
( spl26_1
| ~ spl26_54
| spl26_139
| ~ spl26_8
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f801,f791,f332,f1171,f564,f297]) ).
fof(f564,plain,
( spl26_54
<=> l1_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_54])]) ).
fof(f801,plain,
( ! [X0] :
( k2_lattices(sK0,X0,sK4) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_8
| ~ spl26_93 ),
inference(resolution,[],[f792,f334]) ).
fof(f1157,plain,
( spl26_1
| ~ spl26_98
| ~ spl26_67
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f919,f907,f625,f831,f297]) ).
fof(f831,plain,
( spl26_98
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_98])]) ).
fof(f625,plain,
( spl26_67
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_67])]) ).
fof(f919,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ spl26_67
| ~ spl26_109 ),
inference(resolution,[],[f909,f626]) ).
fof(f626,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl26_67 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f909,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_109 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f1154,plain,
( spl26_1
| ~ spl26_54
| spl26_138
| ~ spl26_7
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f800,f791,f327,f1152,f564,f297]) ).
fof(f800,plain,
( ! [X0] :
( k2_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_7
| ~ spl26_93 ),
inference(resolution,[],[f792,f329]) ).
fof(f1144,plain,
( spl26_3
| ~ spl26_59
| spl26_137
| ~ spl26_6
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f799,f791,f322,f1142,f590,f307]) ).
fof(f799,plain,
( ! [X0] :
( k2_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1) )
| ~ spl26_6
| ~ spl26_93 ),
inference(resolution,[],[f792,f324]) ).
fof(f1134,plain,
( spl26_3
| ~ spl26_59
| spl26_136
| ~ spl26_5
| ~ spl26_93 ),
inference(avatar_split_clause,[],[f798,f791,f317,f1132,f590,f307]) ).
fof(f798,plain,
( ! [X0] :
( k2_lattices(sK1,X0,sK4) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1) )
| ~ spl26_5
| ~ spl26_93 ),
inference(resolution,[],[f792,f319]) ).
fof(f1108,plain,
( ~ spl26_135
| ~ spl26_56
| ~ spl26_105 ),
inference(avatar_split_clause,[],[f887,f878,f578,f1105]) ).
fof(f1105,plain,
( spl26_135
<=> r2_hidden(u1_struct_0(sK1),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_135])]) ).
fof(f878,plain,
( spl26_105
<=> r2_hidden(sK4,u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_105])]) ).
fof(f887,plain,
( ~ r2_hidden(u1_struct_0(sK1),sK4)
| ~ spl26_56
| ~ spl26_105 ),
inference(resolution,[],[f880,f579]) ).
fof(f880,plain,
( r2_hidden(sK4,u1_struct_0(sK1))
| ~ spl26_105 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1102,plain,
( spl26_132
| ~ spl26_52
| ~ spl26_128 ),
inference(avatar_split_clause,[],[f1080,f1027,f556,f1060]) ).
fof(f1060,plain,
( spl26_132
<=> ! [X0] :
( sK17 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_132])]) ).
fof(f1027,plain,
( spl26_128
<=> k1_xboole_0 = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_128])]) ).
fof(f1080,plain,
( ! [X0] :
( sK17 = X0
| ~ v1_xboole_0(X0) )
| ~ spl26_52
| ~ spl26_128 ),
inference(forward_demodulation,[],[f557,f1029]) ).
fof(f1029,plain,
( k1_xboole_0 = sK17
| ~ spl26_128 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1079,plain,
( ~ spl26_109
| ~ spl26_133 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl26_109
| ~ spl26_133 ),
inference(resolution,[],[f1065,f909]) ).
fof(f1065,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl26_133 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1064,plain,
( spl26_133
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_133])]) ).
fof(f1078,plain,
( ~ spl26_9
| ~ spl26_133 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1071,plain,
( $false
| ~ spl26_9
| ~ spl26_133 ),
inference(resolution,[],[f1065,f339]) ).
fof(f339,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl26_9
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f1077,plain,
( ~ spl26_37
| ~ spl26_133 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1072,plain,
( $false
| ~ spl26_37
| ~ spl26_133 ),
inference(resolution,[],[f1065,f475]) ).
fof(f1076,plain,
( ~ spl26_15
| ~ spl26_133 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1073,plain,
( $false
| ~ spl26_15
| ~ spl26_133 ),
inference(resolution,[],[f1065,f369]) ).
fof(f1075,plain,
( ~ spl26_27
| ~ spl26_133 ),
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1074,plain,
( $false
| ~ spl26_27
| ~ spl26_133 ),
inference(resolution,[],[f1065,f429]) ).
fof(f1069,plain,
( spl26_133
| spl26_134
| ~ spl26_15
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_78 ),
inference(avatar_split_clause,[],[f705,f697,f560,f556,f474,f367,f1067,f1064]) ).
fof(f1067,plain,
( spl26_134
<=> ! [X1] : ~ r2_hidden(X1,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_134])]) ).
fof(f705,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK17)
| ~ v1_xboole_0(X0) )
| ~ spl26_15
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_78 ),
inference(forward_demodulation,[],[f704,f574]) ).
fof(f704,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) )
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_78 ),
inference(forward_demodulation,[],[f700,f573]) ).
fof(f700,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK9(X0)) )
| ~ spl26_53
| ~ spl26_78 ),
inference(resolution,[],[f698,f561]) ).
fof(f1062,plain,
( spl26_132
| ~ spl26_15
| ~ spl26_71 ),
inference(avatar_split_clause,[],[f653,f641,f367,f1060]) ).
fof(f641,plain,
( spl26_71
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_71])]) ).
fof(f653,plain,
( ! [X0] :
( sK17 = X0
| ~ v1_xboole_0(X0) )
| ~ spl26_15
| ~ spl26_71 ),
inference(resolution,[],[f642,f369]) ).
fof(f642,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl26_71 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f1050,plain,
( spl26_3
| ~ spl26_104
| ~ spl26_67
| ~ spl26_106 ),
inference(avatar_split_clause,[],[f894,f882,f625,f870,f307]) ).
fof(f870,plain,
( spl26_104
<=> l1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_104])]) ).
fof(f882,plain,
( spl26_106
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_106])]) ).
fof(f894,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl26_67
| ~ spl26_106 ),
inference(resolution,[],[f884,f626]) ).
fof(f884,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_106 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f1049,plain,
( spl26_131
| ~ spl26_128
| ~ spl26_130 ),
inference(avatar_split_clause,[],[f1045,f1042,f1027,f1047]) ).
fof(f1047,plain,
( spl26_131
<=> ! [X0] : sK9(X0) = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_131])]) ).
fof(f1042,plain,
( spl26_130
<=> ! [X0] : k1_xboole_0 = sK9(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_130])]) ).
fof(f1045,plain,
( ! [X0] : sK9(X0) = sK17
| ~ spl26_128
| ~ spl26_130 ),
inference(forward_demodulation,[],[f1043,f1029]) ).
fof(f1043,plain,
( ! [X0] : k1_xboole_0 = sK9(X0)
| ~ spl26_130 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1044,plain,
( spl26_130
| ~ spl26_37
| ~ spl26_52 ),
inference(avatar_split_clause,[],[f573,f556,f474,f1042]) ).
fof(f1035,plain,
( spl26_129
| ~ spl26_15
| ~ spl26_27
| ~ spl26_52 ),
inference(avatar_split_clause,[],[f576,f556,f427,f367,f1032]) ).
fof(f1032,plain,
( spl26_129
<=> sK17 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_129])]) ).
fof(f1030,plain,
( spl26_128
| ~ spl26_15
| ~ spl26_52 ),
inference(avatar_split_clause,[],[f574,f556,f367,f1027]) ).
fof(f1023,plain,
( spl26_127
| ~ spl26_37
| ~ spl26_45 ),
inference(avatar_split_clause,[],[f540,f507,f474,f1021]) ).
fof(f1021,plain,
( spl26_127
<=> ! [X0] : v1_funct_1(sK9(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_127])]) ).
fof(f507,plain,
( spl26_45
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_45])]) ).
fof(f540,plain,
( ! [X0] : v1_funct_1(sK9(X0))
| ~ spl26_37
| ~ spl26_45 ),
inference(resolution,[],[f508,f475]) ).
fof(f508,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl26_45 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1018,plain,
( spl26_126
| ~ spl26_37
| ~ spl26_40 ),
inference(avatar_split_clause,[],[f519,f487,f474,f1016]) ).
fof(f1016,plain,
( spl26_126
<=> ! [X0] : v1_realset1(sK9(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_126])]) ).
fof(f487,plain,
( spl26_40
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_realset1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).
fof(f519,plain,
( ! [X0] : v1_realset1(sK9(X0))
| ~ spl26_37
| ~ spl26_40 ),
inference(resolution,[],[f488,f475]) ).
fof(f488,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_realset1(X0) )
| ~ spl26_40 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f1014,plain,
( ~ spl26_125
| ~ spl26_15
| ~ spl26_52
| spl26_108
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f1009,f907,f903,f556,f367,f1011]) ).
fof(f1011,plain,
( spl26_125
<=> r2_hidden(sK5,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_125])]) ).
fof(f1009,plain,
( ~ r2_hidden(sK5,sK17)
| ~ spl26_15
| ~ spl26_52
| spl26_108
| ~ spl26_109 ),
inference(forward_demodulation,[],[f904,f924]) ).
fof(f924,plain,
( u1_struct_0(sK0) = sK17
| ~ spl26_15
| ~ spl26_52
| ~ spl26_109 ),
inference(forward_demodulation,[],[f921,f574]) ).
fof(f921,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| ~ spl26_52
| ~ spl26_109 ),
inference(resolution,[],[f909,f557]) ).
fof(f904,plain,
( ~ r2_hidden(sK5,u1_struct_0(sK0))
| spl26_108 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f1008,plain,
( ~ spl26_109
| ~ spl26_55
| ~ spl26_108 ),
inference(avatar_split_clause,[],[f913,f903,f569,f907]) ).
fof(f569,plain,
( spl26_55
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_55])]) ).
fof(f913,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_55
| ~ spl26_108 ),
inference(resolution,[],[f905,f570]) ).
fof(f570,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl26_55 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f1000,plain,
( ~ spl26_124
| ~ spl26_15
| ~ spl26_52
| spl26_105
| ~ spl26_106 ),
inference(avatar_split_clause,[],[f995,f882,f878,f556,f367,f997]) ).
fof(f997,plain,
( spl26_124
<=> r2_hidden(sK4,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_124])]) ).
fof(f995,plain,
( ~ r2_hidden(sK4,sK17)
| ~ spl26_15
| ~ spl26_52
| spl26_105
| ~ spl26_106 ),
inference(forward_demodulation,[],[f879,f899]) ).
fof(f899,plain,
( u1_struct_0(sK1) = sK17
| ~ spl26_15
| ~ spl26_52
| ~ spl26_106 ),
inference(forward_demodulation,[],[f896,f574]) ).
fof(f896,plain,
( k1_xboole_0 = u1_struct_0(sK1)
| ~ spl26_52
| ~ spl26_106 ),
inference(resolution,[],[f884,f557]) ).
fof(f879,plain,
( ~ r2_hidden(sK4,u1_struct_0(sK1))
| spl26_105 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f994,plain,
( ~ spl26_106
| ~ spl26_55
| ~ spl26_105 ),
inference(avatar_split_clause,[],[f888,f878,f569,f882]) ).
fof(f888,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_55
| ~ spl26_105 ),
inference(resolution,[],[f880,f570]) ).
fof(f993,plain,
( spl26_123
| ~ spl26_15
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_75 ),
inference(avatar_split_clause,[],[f692,f666,f560,f556,f474,f367,f990]) ).
fof(f990,plain,
( spl26_123
<=> v1_relat_1(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_123])]) ).
fof(f692,plain,
( v1_relat_1(sK17)
| ~ spl26_15
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_75 ),
inference(forward_demodulation,[],[f691,f574]) ).
fof(f691,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl26_37
| ~ spl26_52
| ~ spl26_53
| ~ spl26_75 ),
inference(forward_demodulation,[],[f687,f573]) ).
fof(f687,plain,
( ! [X0,X1] : v1_relat_1(sK9(k2_zfmisc_1(X0,X1)))
| ~ spl26_53
| ~ spl26_75 ),
inference(resolution,[],[f667,f561]) ).
fof(f988,plain,
( spl26_122
| ~ spl26_15
| ~ spl26_45 ),
inference(avatar_split_clause,[],[f541,f507,f367,f985]) ).
fof(f541,plain,
( v1_funct_1(sK17)
| ~ spl26_15
| ~ spl26_45 ),
inference(resolution,[],[f508,f369]) ).
fof(f982,plain,
( spl26_121
| ~ spl26_9
| ~ spl26_45 ),
inference(avatar_split_clause,[],[f539,f507,f337,f979]) ).
fof(f979,plain,
( spl26_121
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_121])]) ).
fof(f539,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl26_9
| ~ spl26_45 ),
inference(resolution,[],[f508,f339]) ).
fof(f977,plain,
( spl26_120
| ~ spl26_32
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f538,f503,f452,f974]) ).
fof(f974,plain,
( spl26_120
<=> l2_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_120])]) ).
fof(f503,plain,
( spl26_44
<=> ! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f538,plain,
( l2_lattices(sK25)
| ~ spl26_32
| ~ spl26_44 ),
inference(resolution,[],[f504,f454]) ).
fof(f454,plain,
( l3_lattices(sK25)
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f504,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) )
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f972,plain,
( spl26_119
| ~ spl26_29
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f537,f503,f437,f969]) ).
fof(f969,plain,
( spl26_119
<=> l2_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_119])]) ).
fof(f537,plain,
( l2_lattices(sK24)
| ~ spl26_29
| ~ spl26_44 ),
inference(resolution,[],[f504,f439]) ).
fof(f439,plain,
( l3_lattices(sK24)
| ~ spl26_29 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f967,plain,
( spl26_118
| ~ spl26_14
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f536,f503,f362,f964]) ).
fof(f964,plain,
( spl26_118
<=> l2_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_118])]) ).
fof(f362,plain,
( spl26_14
<=> l3_lattices(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f536,plain,
( l2_lattices(sK16)
| ~ spl26_14
| ~ spl26_44 ),
inference(resolution,[],[f504,f364]) ).
fof(f364,plain,
( l3_lattices(sK16)
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f962,plain,
( spl26_117
| ~ spl26_32
| ~ spl26_43 ),
inference(avatar_split_clause,[],[f533,f499,f452,f959]) ).
fof(f499,plain,
( spl26_43
<=> ! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_43])]) ).
fof(f533,plain,
( l1_lattices(sK25)
| ~ spl26_32
| ~ spl26_43 ),
inference(resolution,[],[f500,f454]) ).
fof(f500,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) )
| ~ spl26_43 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f957,plain,
( spl26_116
| ~ spl26_29
| ~ spl26_43 ),
inference(avatar_split_clause,[],[f532,f499,f437,f954]) ).
fof(f532,plain,
( l1_lattices(sK24)
| ~ spl26_29
| ~ spl26_43 ),
inference(resolution,[],[f500,f439]) ).
fof(f952,plain,
( spl26_115
| ~ spl26_14
| ~ spl26_43 ),
inference(avatar_split_clause,[],[f531,f499,f362,f949]) ).
fof(f531,plain,
( l1_lattices(sK16)
| ~ spl26_14
| ~ spl26_43 ),
inference(resolution,[],[f500,f364]) ).
fof(f947,plain,
( spl26_114
| ~ spl26_12
| ~ spl26_42 ),
inference(avatar_split_clause,[],[f523,f495,f352,f944]) ).
fof(f944,plain,
( spl26_114
<=> l1_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_114])]) ).
fof(f352,plain,
( spl26_12
<=> l2_lattices(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f495,plain,
( spl26_42
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_42])]) ).
fof(f523,plain,
( l1_struct_0(sK14)
| ~ spl26_12
| ~ spl26_42 ),
inference(resolution,[],[f496,f354]) ).
fof(f354,plain,
( l2_lattices(sK14)
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f496,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) )
| ~ spl26_42 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f942,plain,
( spl26_113
| ~ spl26_11
| ~ spl26_41 ),
inference(avatar_split_clause,[],[f522,f491,f347,f939]) ).
fof(f939,plain,
( spl26_113
<=> l1_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_113])]) ).
fof(f347,plain,
( spl26_11
<=> l1_lattices(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f522,plain,
( l1_struct_0(sK13)
| ~ spl26_11
| ~ spl26_41 ),
inference(resolution,[],[f492,f349]) ).
fof(f349,plain,
( l1_lattices(sK13)
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f936,plain,
( spl26_112
| ~ spl26_27
| ~ spl26_40 ),
inference(avatar_split_clause,[],[f521,f487,f427,f933]) ).
fof(f933,plain,
( spl26_112
<=> v1_realset1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_112])]) ).
fof(f521,plain,
( v1_realset1(sK23)
| ~ spl26_27
| ~ spl26_40 ),
inference(resolution,[],[f488,f429]) ).
fof(f931,plain,
( spl26_111
| ~ spl26_15
| ~ spl26_40 ),
inference(avatar_split_clause,[],[f520,f487,f367,f928]) ).
fof(f928,plain,
( spl26_111
<=> v1_realset1(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_111])]) ).
fof(f520,plain,
( v1_realset1(sK17)
| ~ spl26_15
| ~ spl26_40 ),
inference(resolution,[],[f488,f369]) ).
fof(f918,plain,
( spl26_110
| spl26_109
| ~ spl26_8
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f680,f658,f332,f907,f915]) ).
fof(f680,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(sK4,u1_struct_0(sK0))
| ~ spl26_8
| ~ spl26_73 ),
inference(resolution,[],[f659,f334]) ).
fof(f910,plain,
( spl26_108
| spl26_109
| ~ spl26_7
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f679,f658,f327,f907,f903]) ).
fof(f679,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(sK5,u1_struct_0(sK0))
| ~ spl26_7
| ~ spl26_73 ),
inference(resolution,[],[f659,f329]) ).
fof(f893,plain,
( spl26_107
| spl26_106
| ~ spl26_6
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f678,f658,f322,f882,f890]) ).
fof(f678,plain,
( v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(sK5,u1_struct_0(sK1))
| ~ spl26_6
| ~ spl26_73 ),
inference(resolution,[],[f659,f324]) ).
fof(f885,plain,
( spl26_105
| spl26_106
| ~ spl26_5
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f677,f658,f317,f882,f878]) ).
fof(f677,plain,
( v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(sK4,u1_struct_0(sK1))
| ~ spl26_5
| ~ spl26_73 ),
inference(resolution,[],[f659,f319]) ).
fof(f873,plain,
( spl26_104
| ~ spl26_41
| ~ spl26_59 ),
inference(avatar_split_clause,[],[f731,f590,f491,f870]) ).
fof(f731,plain,
( l1_struct_0(sK1)
| ~ spl26_41
| ~ spl26_59 ),
inference(resolution,[],[f592,f492]) ).
fof(f592,plain,
( l1_lattices(sK1)
| ~ spl26_59 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f862,plain,
spl26_103,
inference(avatar_split_clause,[],[f258,f860]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f858,plain,
spl26_102,
inference(avatar_split_clause,[],[f257,f856]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f854,plain,
spl26_101,
inference(avatar_split_clause,[],[f256,f852]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f849,plain,
spl26_100,
inference(avatar_split_clause,[],[f264,f847]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f844,plain,
spl26_99,
inference(avatar_split_clause,[],[f252,f842]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f834,plain,
( spl26_98
| ~ spl26_41
| ~ spl26_54 ),
inference(avatar_split_clause,[],[f693,f564,f491,f831]) ).
fof(f693,plain,
( l1_struct_0(sK0)
| ~ spl26_41
| ~ spl26_54 ),
inference(resolution,[],[f566,f492]) ).
fof(f566,plain,
( l1_lattices(sK0)
| ~ spl26_54 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f827,plain,
spl26_97,
inference(avatar_split_clause,[],[f263,f825]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_binop_1) ).
fof(f823,plain,
spl26_96,
inference(avatar_split_clause,[],[f255,f821]) ).
fof(f255,plain,
! [X2,X0,X1] :
( l3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f819,plain,
spl26_95,
inference(avatar_split_clause,[],[f254,f817]) ).
fof(f254,plain,
! [X2,X0,X1] :
( v3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f797,plain,
spl26_94,
inference(avatar_split_clause,[],[f223,f795]) ).
fof(f223,plain,
! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(f793,plain,
spl26_93,
inference(avatar_split_clause,[],[f222,f791]) ).
fof(f222,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattices) ).
fof(f788,plain,
spl26_92,
inference(avatar_split_clause,[],[f225,f786]) ).
fof(f225,plain,
! [X2,X0,X1] :
( r1_lattices(X0,X1,X2)
| k1_lattices(X0,X1,X2) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_lattices(X0,X1,X2)
| k1_lattices(X0,X1,X2) != X2 )
& ( k1_lattices(X0,X1,X2) = X2
| ~ r1_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f784,plain,
spl26_91,
inference(avatar_split_clause,[],[f224,f782]) ).
fof(f224,plain,
! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) = X2
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f778,plain,
spl26_90,
inference(avatar_split_clause,[],[f251,f776]) ).
fof(f251,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattices) ).
fof(f774,plain,
spl26_89,
inference(avatar_split_clause,[],[f250,f772]) ).
fof(f250,plain,
! [X2,X0,X1] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f765,plain,
( spl26_88
| ~ spl26_69
| ~ spl26_87 ),
inference(avatar_split_clause,[],[f761,f758,f633,f763]) ).
fof(f633,plain,
( spl26_69
<=> ! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_69])]) ).
fof(f758,plain,
( spl26_87
<=> ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_87])]) ).
fof(f761,plain,
( ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_69
| ~ spl26_87 ),
inference(forward_demodulation,[],[f759,f634]) ).
fof(f634,plain,
( ! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0)
| ~ spl26_69 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f759,plain,
( ! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl26_87 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
spl26_87,
inference(avatar_split_clause,[],[f295,f758]) ).
fof(f295,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f229,f238]) ).
fof(f238,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f229,plain,
! [X2,X0,X1] :
( k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_binop_1) ).
fof(f753,plain,
spl26_86,
inference(avatar_split_clause,[],[f219,f751]) ).
fof(f219,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f747,plain,
spl26_85,
inference(avatar_split_clause,[],[f216,f745]) ).
fof(f216,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,[],[f89]) ).
fof(f89,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,[],[f36]) ).
fof(f36,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(f743,plain,
spl26_84,
inference(avatar_split_clause,[],[f215,f741]) ).
fof(f215,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,[],[f89]) ).
fof(f739,plain,
spl26_83,
inference(avatar_split_clause,[],[f212,f737]) ).
fof(f212,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,[],[f87]) ).
fof(f87,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,[],[f34]) ).
fof(f34,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(f735,plain,
spl26_82,
inference(avatar_split_clause,[],[f211,f733]) ).
fof(f211,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,[],[f87]) ).
fof(f717,plain,
spl26_81,
inference(avatar_split_clause,[],[f259,f715]) ).
fof(f259,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,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(f713,plain,
spl26_80,
inference(avatar_split_clause,[],[f248,f711]) ).
fof(f248,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,[],[f118]) ).
fof(f118,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,[],[f33]) ).
fof(f33,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(f709,plain,
spl26_79,
inference(avatar_split_clause,[],[f227,f707]) ).
fof(f227,plain,
! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f104,f147]) ).
fof(f147,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f104,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,[],[f103]) ).
fof(f103,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,[],[f64]) ).
fof(f64,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(f699,plain,
spl26_78,
inference(avatar_split_clause,[],[f262,f697]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,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(f676,plain,
spl26_77,
inference(avatar_split_clause,[],[f261,f674]) ).
fof(f261,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,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,[],[f67]) ).
fof(f67,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(f672,plain,
spl26_76,
inference(avatar_split_clause,[],[f260,f670]) ).
fof(f260,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f668,plain,
spl26_75,
inference(avatar_split_clause,[],[f249,f666]) ).
fof(f249,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,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(f664,plain,
spl26_74,
inference(avatar_split_clause,[],[f242,f662]) ).
fof(f662,plain,
( spl26_74
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_74])]) ).
fof(f242,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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(f660,plain,
spl26_73,
inference(avatar_split_clause,[],[f241,f658]) ).
fof(f241,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,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(f650,plain,
( spl26_72
| ~ spl26_4
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f535,f503,f312,f647]) ).
fof(f312,plain,
( spl26_4
<=> l3_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f535,plain,
( l2_lattices(sK1)
| ~ spl26_4
| ~ spl26_44 ),
inference(resolution,[],[f504,f314]) ).
fof(f314,plain,
( l3_lattices(sK1)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f643,plain,
spl26_71,
inference(avatar_split_clause,[],[f244,f641]) ).
fof(f244,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f639,plain,
spl26_70,
inference(avatar_split_clause,[],[f243,f637]) ).
fof(f243,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f71]) ).
fof(f71,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(f635,plain,
spl26_69,
inference(avatar_split_clause,[],[f237,f633]) ).
fof(f237,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f631,plain,
spl26_68,
inference(avatar_split_clause,[],[f228,f629]) ).
fof(f629,plain,
( spl26_68
<=> ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_68])]) ).
fof(f228,plain,
! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f627,plain,
spl26_67,
inference(avatar_split_clause,[],[f226,f625]) ).
fof(f226,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,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(f623,plain,
spl26_66,
inference(avatar_split_clause,[],[f207,f621]) ).
fof(f207,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f85,f144]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,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(f619,plain,
( spl26_65
| ~ spl26_2
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f534,f503,f302,f616]) ).
fof(f302,plain,
( spl26_2
<=> l3_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f534,plain,
( l2_lattices(sK0)
| ~ spl26_2
| ~ spl26_44 ),
inference(resolution,[],[f504,f304]) ).
fof(f304,plain,
( l3_lattices(sK0)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f614,plain,
( ~ spl26_61
| ~ spl26_62
| ~ spl26_63
| ~ spl26_64 ),
inference(avatar_split_clause,[],[f289,f611,f607,f603,f599]) ).
fof(f289,plain,
( ~ r1_lattices(sK0,sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5) ),
inference(definition_unfolding,[],[f200,f195,f196,f195,f196,f195,f196]) ).
fof(f200,plain,
( ~ r1_lattices(sK0,sK2,sK3)
| ~ r1_lattices(sK1,sK4,sK5)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) ),
inference(cnf_transformation,[],[f143]) ).
fof(f597,plain,
spl26_60,
inference(avatar_split_clause,[],[f247,f595]) ).
fof(f247,plain,
! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f43,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f593,plain,
( spl26_59
| ~ spl26_4
| ~ spl26_43 ),
inference(avatar_split_clause,[],[f530,f499,f312,f590]) ).
fof(f530,plain,
( l1_lattices(sK1)
| ~ spl26_4
| ~ spl26_43 ),
inference(resolution,[],[f500,f314]) ).
fof(f588,plain,
spl26_58,
inference(avatar_split_clause,[],[f246,f586]) ).
fof(f246,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f41,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f584,plain,
spl26_57,
inference(avatar_split_clause,[],[f240,f582]) ).
fof(f582,plain,
( spl26_57
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_57])]) ).
fof(f240,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f580,plain,
spl26_56,
inference(avatar_split_clause,[],[f239,f578]) ).
fof(f239,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f571,plain,
spl26_55,
inference(avatar_split_clause,[],[f245,f569]) ).
fof(f245,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f567,plain,
( spl26_54
| ~ spl26_2
| ~ spl26_43 ),
inference(avatar_split_clause,[],[f529,f499,f302,f564]) ).
fof(f529,plain,
( l1_lattices(sK0)
| ~ spl26_2
| ~ spl26_43 ),
inference(resolution,[],[f500,f304]) ).
fof(f562,plain,
spl26_53,
inference(avatar_split_clause,[],[f233,f560]) ).
fof(f233,plain,
! [X0] : m1_subset_1(sK9(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f59,f151]) ).
fof(f151,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,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(f558,plain,
spl26_52,
inference(avatar_split_clause,[],[f221,f556]) ).
fof(f221,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,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f554,plain,
spl26_51,
inference(avatar_split_clause,[],[f214,f552]) ).
fof(f214,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f550,plain,
spl26_50,
inference(avatar_split_clause,[],[f210,f548]) ).
fof(f210,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f546,plain,
spl26_49,
inference(avatar_split_clause,[],[f208,f544]) ).
fof(f544,plain,
( spl26_49
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_49])]) ).
fof(f208,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f528,plain,
( spl26_48
| ~ spl26_9
| ~ spl26_40 ),
inference(avatar_split_clause,[],[f518,f487,f337,f525]) ).
fof(f525,plain,
( spl26_48
<=> v1_realset1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_48])]) ).
fof(f518,plain,
( v1_realset1(k1_xboole_0)
| ~ spl26_9
| ~ spl26_40 ),
inference(resolution,[],[f488,f339]) ).
fof(f517,plain,
spl26_47,
inference(avatar_split_clause,[],[f236,f515]) ).
fof(f515,plain,
( spl26_47
<=> ! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_47])]) ).
fof(f236,plain,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_subset_1) ).
fof(f513,plain,
spl26_46,
inference(avatar_split_clause,[],[f232,f511]) ).
fof(f232,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f42,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f509,plain,
spl26_45,
inference(avatar_split_clause,[],[f220,f507]) ).
fof(f220,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,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f505,plain,
spl26_44,
inference(avatar_split_clause,[],[f218,f503]) ).
fof(f218,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f501,plain,
spl26_43,
inference(avatar_split_clause,[],[f217,f499]) ).
fof(f217,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f497,plain,
spl26_42,
inference(avatar_split_clause,[],[f213,f495]) ).
fof(f213,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f493,plain,
spl26_41,
inference(avatar_split_clause,[],[f209,f491]) ).
fof(f209,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f489,plain,
spl26_40,
inference(avatar_split_clause,[],[f206,f487]) ).
fof(f206,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_realset1(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ~ v1_realset1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_realset1) ).
fof(f485,plain,
spl26_39,
inference(avatar_split_clause,[],[f190,f482]) ).
fof(f190,plain,
g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)),
inference(cnf_transformation,[],[f143]) ).
fof(f480,plain,
spl26_38,
inference(avatar_split_clause,[],[f235,f478]) ).
fof(f478,plain,
( spl26_38
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f235,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f476,plain,
spl26_37,
inference(avatar_split_clause,[],[f234,f474]) ).
fof(f234,plain,
! [X0] : v1_xboole_0(sK9(X0)),
inference(cnf_transformation,[],[f152]) ).
fof(f472,plain,
spl26_36,
inference(avatar_split_clause,[],[f205,f470]) ).
fof(f470,plain,
( spl26_36
<=> ! [X0] : v1_realset1(k1_tarski(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_36])]) ).
fof(f205,plain,
! [X0] : v1_realset1(k1_tarski(X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( v1_realset1(k1_tarski(X0))
& ~ v1_xboole_0(k1_tarski(X0)) ),
inference(pure_predicate_removal,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( v1_realset1(k1_tarski(X0))
& v1_finset_1(k1_tarski(X0))
& ~ v1_xboole_0(k1_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_realset1) ).
fof(f468,plain,
spl26_35,
inference(avatar_split_clause,[],[f203,f466]) ).
fof(f466,plain,
( spl26_35
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_35])]) ).
fof(f203,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f464,plain,
spl26_34,
inference(avatar_split_clause,[],[f202,f462]) ).
fof(f462,plain,
( spl26_34
<=> ! [X0] : ~ v1_xboole_0(k1_tarski(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).
fof(f202,plain,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(f460,plain,
spl26_33,
inference(avatar_split_clause,[],[f288,f457]) ).
fof(f288,plain,
v3_lattices(sK25),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( v3_lattices(sK25)
& l3_lattices(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f62,f184]) ).
fof(f184,plain,
( ? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) )
=> ( v3_lattices(sK25)
& l3_lattices(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f62,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_lattices) ).
fof(f455,plain,
spl26_32,
inference(avatar_split_clause,[],[f287,f452]) ).
fof(f287,plain,
l3_lattices(sK25),
inference(cnf_transformation,[],[f185]) ).
fof(f450,plain,
spl26_31,
inference(avatar_split_clause,[],[f286,f447]) ).
fof(f286,plain,
v3_lattices(sK24),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( v3_lattices(sK24)
& ~ v3_struct_0(sK24)
& l3_lattices(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f65,f182]) ).
fof(f182,plain,
( ? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v3_lattices(sK24)
& ~ v3_struct_0(sK24)
& l3_lattices(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f65,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_lattices) ).
fof(f445,plain,
~ spl26_30,
inference(avatar_split_clause,[],[f285,f442]) ).
fof(f442,plain,
( spl26_30
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).
fof(f285,plain,
~ v3_struct_0(sK24),
inference(cnf_transformation,[],[f183]) ).
fof(f440,plain,
spl26_29,
inference(avatar_split_clause,[],[f284,f437]) ).
fof(f284,plain,
l3_lattices(sK24),
inference(cnf_transformation,[],[f183]) ).
fof(f435,plain,
spl26_28,
inference(avatar_split_clause,[],[f283,f432]) ).
fof(f432,plain,
( spl26_28
<=> v1_funct_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f283,plain,
v1_funct_1(sK23),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( v1_funct_1(sK23)
& v1_xboole_0(sK23)
& v1_relat_1(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f57,f180]) ).
fof(f180,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK23)
& v1_xboole_0(sK23)
& v1_relat_1(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f57,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(f430,plain,
spl26_27,
inference(avatar_split_clause,[],[f282,f427]) ).
fof(f282,plain,
v1_xboole_0(sK23),
inference(cnf_transformation,[],[f181]) ).
fof(f425,plain,
spl26_26,
inference(avatar_split_clause,[],[f281,f422]) ).
fof(f281,plain,
v1_relat_1(sK23),
inference(cnf_transformation,[],[f181]) ).
fof(f420,plain,
spl26_25,
inference(avatar_split_clause,[],[f280,f417]) ).
fof(f280,plain,
v1_funct_1(sK22),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( v1_funct_1(sK22)
& v1_relat_1(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f81,f178]) ).
fof(f178,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK22)
& v1_relat_1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f61,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(f415,plain,
spl26_24,
inference(avatar_split_clause,[],[f279,f412]) ).
fof(f279,plain,
v1_relat_1(sK22),
inference(cnf_transformation,[],[f179]) ).
fof(f410,plain,
spl26_23,
inference(avatar_split_clause,[],[f278,f407]) ).
fof(f278,plain,
v1_funct_1(sK21),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( v1_funct_1(sK21)
& v1_relat_1(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f53,f176]) ).
fof(f176,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK21)
& v1_relat_1(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f53,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f405,plain,
spl26_22,
inference(avatar_split_clause,[],[f277,f402]) ).
fof(f277,plain,
v1_relat_1(sK21),
inference(cnf_transformation,[],[f177]) ).
fof(f400,plain,
~ spl26_21,
inference(avatar_split_clause,[],[f276,f397]) ).
fof(f397,plain,
( spl26_21
<=> v3_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f276,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ~ v3_struct_0(sK20)
& l1_struct_0(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f63,f174]) ).
fof(f174,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK20)
& l1_struct_0(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f63,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f395,plain,
spl26_20,
inference(avatar_split_clause,[],[f275,f392]) ).
fof(f392,plain,
( spl26_20
<=> l1_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f275,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f175]) ).
fof(f390,plain,
spl26_19,
inference(avatar_split_clause,[],[f274,f387]) ).
fof(f387,plain,
( spl26_19
<=> v1_realset1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f274,plain,
v1_realset1(sK19),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( v1_realset1(sK19)
& ~ v1_xboole_0(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f54,f172]) ).
fof(f172,plain,
( ? [X0] :
( v1_realset1(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_realset1(sK19)
& ~ v1_xboole_0(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f54,axiom,
? [X0] :
( v1_realset1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_realset1) ).
fof(f385,plain,
~ spl26_18,
inference(avatar_split_clause,[],[f273,f382]) ).
fof(f382,plain,
( spl26_18
<=> v1_xboole_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f273,plain,
~ v1_xboole_0(sK19),
inference(cnf_transformation,[],[f173]) ).
fof(f380,plain,
~ spl26_17,
inference(avatar_split_clause,[],[f272,f377]) ).
fof(f377,plain,
( spl26_17
<=> v1_realset1(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f272,plain,
~ v1_realset1(sK18),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ~ v1_realset1(sK18)
& ~ v1_xboole_0(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f58,f170]) ).
fof(f170,plain,
( ? [X0] :
( ~ v1_realset1(X0)
& ~ v1_xboole_0(X0) )
=> ( ~ v1_realset1(sK18)
& ~ v1_xboole_0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f58,axiom,
? [X0] :
( ~ v1_realset1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_realset1) ).
fof(f375,plain,
~ spl26_16,
inference(avatar_split_clause,[],[f271,f372]) ).
fof(f372,plain,
( spl26_16
<=> v1_xboole_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f271,plain,
~ v1_xboole_0(sK18),
inference(cnf_transformation,[],[f171]) ).
fof(f370,plain,
spl26_15,
inference(avatar_split_clause,[],[f270,f367]) ).
fof(f270,plain,
v1_xboole_0(sK17),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
v1_xboole_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f56,f168]) ).
fof(f168,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f56,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f365,plain,
spl26_14,
inference(avatar_split_clause,[],[f269,f362]) ).
fof(f269,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
l3_lattices(sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f40,f166]) ).
fof(f166,plain,
( ? [X0] : l3_lattices(X0)
=> l3_lattices(sK16) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
fof(f360,plain,
spl26_13,
inference(avatar_split_clause,[],[f268,f357]) ).
fof(f357,plain,
( spl26_13
<=> l1_struct_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f268,plain,
l1_struct_0(sK15),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
l1_struct_0(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f38,f164]) ).
fof(f164,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK15) ),
introduced(choice_axiom,[]) ).
fof(f38,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f355,plain,
spl26_12,
inference(avatar_split_clause,[],[f267,f352]) ).
fof(f267,plain,
l2_lattices(sK14),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
l2_lattices(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f39,f162]) ).
fof(f162,plain,
( ? [X0] : l2_lattices(X0)
=> l2_lattices(sK14) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
fof(f350,plain,
spl26_11,
inference(avatar_split_clause,[],[f266,f347]) ).
fof(f266,plain,
l1_lattices(sK13),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
l1_lattices(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f37,f160]) ).
fof(f160,plain,
( ? [X0] : l1_lattices(X0)
=> l1_lattices(sK13) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
fof(f345,plain,
~ spl26_10,
inference(avatar_split_clause,[],[f265,f342]) ).
fof(f342,plain,
( spl26_10
<=> v1_xboole_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f265,plain,
~ v1_xboole_0(sK12),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
~ v1_xboole_0(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f60,f158]) ).
fof(f158,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK12) ),
introduced(choice_axiom,[]) ).
fof(f60,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f340,plain,
spl26_9,
inference(avatar_split_clause,[],[f201,f337]) ).
fof(f201,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f335,plain,
spl26_8,
inference(avatar_split_clause,[],[f294,f332]) ).
fof(f294,plain,
m1_subset_1(sK4,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f191,f195]) ).
fof(f191,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f143]) ).
fof(f330,plain,
spl26_7,
inference(avatar_split_clause,[],[f293,f327]) ).
fof(f293,plain,
m1_subset_1(sK5,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f192,f196]) ).
fof(f192,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f143]) ).
fof(f325,plain,
spl26_6,
inference(avatar_split_clause,[],[f194,f322]) ).
fof(f194,plain,
m1_subset_1(sK5,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f143]) ).
fof(f320,plain,
spl26_5,
inference(avatar_split_clause,[],[f193,f317]) ).
fof(f193,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f143]) ).
fof(f315,plain,
spl26_4,
inference(avatar_split_clause,[],[f189,f312]) ).
fof(f189,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f310,plain,
~ spl26_3,
inference(avatar_split_clause,[],[f188,f307]) ).
fof(f188,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f305,plain,
spl26_2,
inference(avatar_split_clause,[],[f187,f302]) ).
fof(f187,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f143]) ).
fof(f300,plain,
~ spl26_1,
inference(avatar_split_clause,[],[f186,f297]) ).
fof(f186,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT295+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 12:23:59 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (12943)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (12946)WARNING: value z3 for option sas not known
% 0.16/0.33 % (12950)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)
% 0.16/0.33 % (12949)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)
% 0.16/0.33 % (12947)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (12948)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)
% 0.16/0.33 % (12945)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (12944)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (12946)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)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.35 TRYING [3]
% 0.16/0.37 TRYING [1]
% 0.16/0.37 TRYING [2]
% 0.16/0.38 % (12948)First to succeed.
% 0.16/0.39 % (12948)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12943"
% 0.16/0.40 % (12948)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Theorem for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (12948)------------------------------
% 0.16/0.40 % (12948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (12948)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (12948)Memory used [KB]: 1932
% 0.16/0.40 % (12948)Time elapsed: 0.062 s
% 0.16/0.40 % (12948)Instructions burned: 116 (million)
% 0.16/0.40 % (12943)Success in time 0.083 s
%------------------------------------------------------------------------------