TSTP Solution File: GRP618+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP618+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:09:37 EDT 2024
% Result : Theorem 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 288
% Syntax : Number of formulae : 877 ( 160 unt; 0 def)
% Number of atoms : 3199 ( 59 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 3893 (1571 ~;1640 |; 383 &)
% ( 211 <=>; 86 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 232 ( 230 usr; 208 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 17 con; 0-3 aty)
% Number of variables : 875 ( 776 !; 99 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1518,plain,
$false,
inference(avatar_sat_refutation,[],[f305,f310,f315,f320,f325,f330,f339,f344,f349,f354,f359,f364,f369,f374,f379,f384,f389,f394,f399,f404,f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f459,f464,f469,f474,f478,f482,f486,f490,f494,f498,f502,f506,f519,f523,f527,f531,f536,f540,f544,f548,f552,f556,f560,f564,f574,f579,f583,f587,f591,f595,f599,f603,f607,f611,f615,f619,f624,f629,f633,f637,f641,f645,f655,f659,f664,f668,f672,f684,f690,f694,f699,f704,f708,f712,f716,f740,f744,f748,f752,f756,f780,f784,f789,f798,f802,f806,f815,f819,f823,f831,f837,f841,f845,f852,f857,f861,f867,f873,f877,f884,f889,f898,f903,f908,f917,f922,f927,f932,f943,f951,f955,f959,f963,f967,f972,f976,f980,f996,f1000,f1006,f1023,f1036,f1041,f1058,f1063,f1067,f1082,f1089,f1098,f1103,f1108,f1117,f1126,f1134,f1138,f1142,f1151,f1160,f1164,f1168,f1172,f1177,f1194,f1198,f1202,f1213,f1222,f1231,f1235,f1241,f1245,f1254,f1262,f1266,f1270,f1278,f1282,f1286,f1305,f1309,f1319,f1325,f1328,f1338,f1344,f1354,f1360,f1366,f1373,f1392,f1398,f1399,f1409,f1414,f1423,f1424,f1431,f1449,f1458,f1464,f1465,f1471,f1475,f1479,f1480,f1486,f1493,f1502,f1506,f1510,f1511,f1517]) ).
fof(f1517,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_8
| ~ spl29_7
| ~ spl29_188
| ~ spl29_192
| ~ spl29_110
| spl29_197 ),
inference(avatar_split_clause,[],[f1433,f1428,f875,f1370,f1341,f332,f336,f327,f322,f317,f312,f307,f302]) ).
fof(f302,plain,
( spl29_1
<=> v3_struct_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
fof(f307,plain,
( spl29_2
<=> v1_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
fof(f312,plain,
( spl29_3
<=> v3_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).
fof(f317,plain,
( spl29_4
<=> v4_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
fof(f322,plain,
( spl29_5
<=> l1_group_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f327,plain,
( spl29_6
<=> m1_group_2(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f336,plain,
( spl29_8
<=> v1_group_3(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f332,plain,
( spl29_7
<=> m1_subset_1(sK4,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).
fof(f1341,plain,
( spl29_188
<=> m1_subset_1(sK5,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_188])]) ).
fof(f1370,plain,
( spl29_192
<=> m1_subset_1(sK5,u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_192])]) ).
fof(f875,plain,
( spl29_110
<=> ! [X0,X3,X2,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_110])]) ).
fof(f1428,plain,
( spl29_197
<=> r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_197])]) ).
fof(f1433,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_110
| spl29_197 ),
inference(resolution,[],[f1430,f876]) ).
fof(f876,plain,
( ! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_110 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f1430,plain,
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
| spl29_197 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1511,plain,
( spl29_109
| ~ spl29_114
| ~ spl29_70
| ~ spl29_187 ),
inference(avatar_split_clause,[],[f1450,f1335,f631,f900,f870]) ).
fof(f870,plain,
( spl29_109
<=> v3_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_109])]) ).
fof(f900,plain,
( spl29_114
<=> l1_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_114])]) ).
fof(f631,plain,
( spl29_70
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_70])]) ).
fof(f1335,plain,
( spl29_187
<=> v1_xboole_0(u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_187])]) ).
fof(f1450,plain,
( ~ l1_struct_0(sK3)
| v3_struct_0(sK3)
| ~ spl29_70
| ~ spl29_187 ),
inference(resolution,[],[f1337,f632]) ).
fof(f632,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl29_70 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1337,plain,
( v1_xboole_0(u1_struct_0(sK3))
| ~ spl29_187 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1510,plain,
( spl29_207
| ~ spl29_36
| ~ spl29_129 ),
inference(avatar_split_clause,[],[f1001,f994,f476,f1508]) ).
fof(f1508,plain,
( spl29_207
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_207])]) ).
fof(f476,plain,
( spl29_36
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_36])]) ).
fof(f994,plain,
( spl29_129
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_129])]) ).
fof(f1001,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl29_36
| ~ spl29_129 ),
inference(resolution,[],[f995,f477]) ).
fof(f477,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl29_36 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f995,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl29_129 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f1506,plain,
( spl29_206
| ~ spl29_124
| ~ spl29_128 ),
inference(avatar_split_clause,[],[f990,f978,f961,f1504]) ).
fof(f1504,plain,
( spl29_206
<=> ! [X0,X1] : v1_relat_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_206])]) ).
fof(f961,plain,
( spl29_124
<=> ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_124])]) ).
fof(f978,plain,
( spl29_128
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_128])]) ).
fof(f990,plain,
( ! [X0,X1] : v1_relat_1(sK14(X0,X1))
| ~ spl29_124
| ~ spl29_128 ),
inference(resolution,[],[f979,f962]) ).
fof(f962,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl29_124 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f979,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl29_128 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1502,plain,
( spl29_205
| ~ spl29_63
| ~ spl29_128 ),
inference(avatar_split_clause,[],[f989,f978,f601,f1500]) ).
fof(f1500,plain,
( spl29_205
<=> ! [X0,X1] : v1_relat_1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_205])]) ).
fof(f601,plain,
( spl29_63
<=> ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_63])]) ).
fof(f989,plain,
( ! [X0,X1] : v1_relat_1(sK13(X0,X1))
| ~ spl29_63
| ~ spl29_128 ),
inference(resolution,[],[f979,f602]) ).
fof(f602,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl29_63 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f1493,plain,
( spl29_204
| spl29_190
| ~ spl29_74
| ~ spl29_147 ),
inference(avatar_split_clause,[],[f1444,f1075,f653,f1351,f1490]) ).
fof(f1490,plain,
( spl29_204
<=> r2_hidden(sK11(sK2,sK3),u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_204])]) ).
fof(f1351,plain,
( spl29_190
<=> v1_xboole_0(u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_190])]) ).
fof(f653,plain,
( spl29_74
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_74])]) ).
fof(f1075,plain,
( spl29_147
<=> m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_147])]) ).
fof(f1444,plain,
( v1_xboole_0(u1_struct_0(sK2))
| r2_hidden(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ spl29_74
| ~ spl29_147 ),
inference(resolution,[],[f1076,f654]) ).
fof(f654,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl29_74 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1076,plain,
( m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ spl29_147 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1486,plain,
( ~ spl29_203
| ~ spl29_120
| spl29_186
| ~ spl29_187 ),
inference(avatar_split_clause,[],[f1481,f1335,f1331,f941,f1483]) ).
fof(f1483,plain,
( spl29_203
<=> r2_hidden(sK11(sK2,sK3),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_203])]) ).
fof(f941,plain,
( spl29_120
<=> ! [X0] :
( sK20 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_120])]) ).
fof(f1331,plain,
( spl29_186
<=> r2_hidden(sK11(sK2,sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_186])]) ).
fof(f1481,plain,
( ~ r2_hidden(sK11(sK2,sK3),sK20)
| ~ spl29_120
| spl29_186
| ~ spl29_187 ),
inference(forward_demodulation,[],[f1332,f1451]) ).
fof(f1451,plain,
( u1_struct_0(sK3) = sK20
| ~ spl29_120
| ~ spl29_187 ),
inference(resolution,[],[f1337,f942]) ).
fof(f942,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK20 = X0 )
| ~ spl29_120 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f1332,plain,
( ~ r2_hidden(sK11(sK2,sK3),u1_struct_0(sK3))
| spl29_186 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1480,plain,
( ~ spl29_187
| ~ spl29_55
| ~ spl29_186 ),
inference(avatar_split_clause,[],[f1359,f1331,f562,f1335]) ).
fof(f562,plain,
( spl29_55
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_55])]) ).
fof(f1359,plain,
( ~ v1_xboole_0(u1_struct_0(sK3))
| ~ spl29_55
| ~ spl29_186 ),
inference(resolution,[],[f1333,f563]) ).
fof(f563,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl29_55 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1333,plain,
( r2_hidden(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ spl29_186 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1479,plain,
( spl29_202
| ~ spl29_149
| ~ spl29_194 ),
inference(avatar_split_clause,[],[f1439,f1406,f1087,f1477]) ).
fof(f1477,plain,
( spl29_202
<=> ! [X0] :
( m1_subset_1(sK5,X0)
| ~ r1_tarski(u1_struct_0(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_202])]) ).
fof(f1087,plain,
( spl29_149
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_149])]) ).
fof(f1406,plain,
( spl29_194
<=> r2_hidden(sK5,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_194])]) ).
fof(f1439,plain,
( ! [X0] :
( m1_subset_1(sK5,X0)
| ~ r1_tarski(u1_struct_0(sK2),X0) )
| ~ spl29_149
| ~ spl29_194 ),
inference(resolution,[],[f1408,f1088]) ).
fof(f1088,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1)
| ~ r1_tarski(X2,X1) )
| ~ spl29_149 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1408,plain,
( r2_hidden(sK5,u1_struct_0(sK2))
| ~ spl29_194 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1475,plain,
( spl29_201
| ~ spl29_149
| ~ spl29_189 ),
inference(avatar_split_clause,[],[f1382,f1347,f1087,f1473]) ).
fof(f1473,plain,
( spl29_201
<=> ! [X0] :
( m1_subset_1(sK4,X0)
| ~ r1_tarski(u1_struct_0(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_201])]) ).
fof(f1347,plain,
( spl29_189
<=> r2_hidden(sK4,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_189])]) ).
fof(f1382,plain,
( ! [X0] :
( m1_subset_1(sK4,X0)
| ~ r1_tarski(u1_struct_0(sK2),X0) )
| ~ spl29_149
| ~ spl29_189 ),
inference(resolution,[],[f1349,f1088]) ).
fof(f1349,plain,
( r2_hidden(sK4,u1_struct_0(sK2))
| ~ spl29_189 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1471,plain,
( ~ spl29_200
| ~ spl29_61
| ~ spl29_194 ),
inference(avatar_split_clause,[],[f1442,f1406,f593,f1468]) ).
fof(f1468,plain,
( spl29_200
<=> r2_hidden(u1_struct_0(sK2),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_200])]) ).
fof(f593,plain,
( spl29_61
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_61])]) ).
fof(f1442,plain,
( ~ r2_hidden(u1_struct_0(sK2),sK5)
| ~ spl29_61
| ~ spl29_194 ),
inference(resolution,[],[f1408,f594]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl29_61 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f1465,plain,
( spl29_7
| ~ spl29_62
| ~ spl29_189 ),
inference(avatar_split_clause,[],[f1402,f1347,f597,f332]) ).
fof(f597,plain,
( spl29_62
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_62])]) ).
fof(f1402,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| ~ spl29_62
| ~ spl29_189 ),
inference(resolution,[],[f1349,f598]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl29_62 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1464,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_8
| ~ spl29_7
| ~ spl29_188
| ~ spl29_199
| ~ spl29_110
| ~ spl29_120
| ~ spl29_187
| spl29_197 ),
inference(avatar_split_clause,[],[f1459,f1428,f1335,f941,f875,f1461,f1341,f332,f336,f327,f322,f317,f312,f307,f302]) ).
fof(f1461,plain,
( spl29_199
<=> m1_subset_1(sK5,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_199])]) ).
fof(f1459,plain,
( ~ m1_subset_1(sK5,sK20)
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_110
| ~ spl29_120
| ~ spl29_187
| spl29_197 ),
inference(forward_demodulation,[],[f1433,f1451]) ).
fof(f1458,plain,
( ~ spl29_192
| ~ spl29_188
| ~ spl29_7
| ~ spl29_56
| spl29_197 ),
inference(avatar_split_clause,[],[f1432,f1428,f572,f332,f1341,f1370]) ).
fof(f572,plain,
( spl29_56
<=> ! [X4,X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_56])]) ).
fof(f1432,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ spl29_56
| spl29_197 ),
inference(resolution,[],[f1430,f573]) ).
fof(f573,plain,
( ! [X4,X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK3)) )
| ~ spl29_56 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1449,plain,
( spl29_198
| spl29_187
| ~ spl29_74
| ~ spl29_192 ),
inference(avatar_split_clause,[],[f1426,f1370,f653,f1335,f1446]) ).
fof(f1446,plain,
( spl29_198
<=> r2_hidden(sK5,u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_198])]) ).
fof(f1426,plain,
( v1_xboole_0(u1_struct_0(sK3))
| r2_hidden(sK5,u1_struct_0(sK3))
| ~ spl29_74
| ~ spl29_192 ),
inference(resolution,[],[f1372,f654]) ).
fof(f1372,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| ~ spl29_192 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1431,plain,
( ~ spl29_197
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f198,f336,f1428]) ).
fof(f198,plain,
( ~ v1_group_3(sK3,sK2)
| ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( ~ v1_group_3(sK3,sK2)
| ( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
& m1_subset_1(sK5,u1_struct_0(sK3))
& m1_subset_1(sK5,u1_struct_0(sK2))
& m1_subset_1(sK4,u1_struct_0(sK2)) ) )
& ( v1_group_3(sK3,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK3))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(sK3,sK2)
& l1_group_1(sK2)
& v4_group_1(sK2)
& v3_group_1(sK2)
& v1_group_1(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f134,f138,f137,f136,f135]) ).
fof(f135,plain,
( ? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ( ~ v1_group_3(X1,sK2)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) ) )
& ( v1_group_3(X1,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(X1,sK2) )
& l1_group_1(sK2)
& v4_group_1(sK2)
& v3_group_1(sK2)
& v1_group_1(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X1] :
( ( ~ v1_group_3(X1,sK2)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) ) )
& ( v1_group_3(X1,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(X1,sK2) )
=> ( ( ~ v1_group_3(sK3,sK2)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) ) )
& ( v1_group_3(sK3,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK3))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,sK4))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(sK4,u1_struct_0(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,sK4))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
=> ( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
& m1_subset_1(sK5,u1_struct_0(sK3))
& m1_subset_1(sK5,u1_struct_0(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f1424,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| spl29_8
| ~ spl29_103
| spl29_147 ),
inference(avatar_split_clause,[],[f1084,f1075,f839,f336,f327,f322,f317,f312,f307,f302]) ).
fof(f839,plain,
( spl29_103
<=> ! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK11(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_103])]) ).
fof(f1084,plain,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_103
| spl29_147 ),
inference(resolution,[],[f1077,f840]) ).
fof(f840,plain,
( ! [X0,X1] :
( m1_subset_1(sK11(X0,X1),u1_struct_0(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_103 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f1077,plain,
( ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| spl29_147 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1423,plain,
( spl29_196
| ~ spl29_131
| ~ spl29_189 ),
inference(avatar_split_clause,[],[f1383,f1347,f1004,f1421]) ).
fof(f1421,plain,
( spl29_196
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(u1_struct_0(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_196])]) ).
fof(f1004,plain,
( spl29_131
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_131])]) ).
fof(f1383,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(u1_struct_0(sK2),X0) )
| ~ spl29_131
| ~ spl29_189 ),
inference(resolution,[],[f1349,f1005]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl29_131 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1414,plain,
( ~ spl29_195
| ~ spl29_61
| ~ spl29_189 ),
inference(avatar_split_clause,[],[f1385,f1347,f593,f1411]) ).
fof(f1411,plain,
( spl29_195
<=> r2_hidden(u1_struct_0(sK2),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_195])]) ).
fof(f1385,plain,
( ~ r2_hidden(u1_struct_0(sK2),sK4)
| ~ spl29_61
| ~ spl29_189 ),
inference(resolution,[],[f1349,f594]) ).
fof(f1409,plain,
( spl29_194
| spl29_190
| ~ spl29_74
| ~ spl29_188 ),
inference(avatar_split_clause,[],[f1368,f1341,f653,f1351,f1406]) ).
fof(f1368,plain,
( v1_xboole_0(u1_struct_0(sK2))
| r2_hidden(sK5,u1_struct_0(sK2))
| ~ spl29_74
| ~ spl29_188 ),
inference(resolution,[],[f1343,f654]) ).
fof(f1343,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| ~ spl29_188 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1399,plain,
( spl29_1
| ~ spl29_48
| ~ spl29_70
| ~ spl29_190 ),
inference(avatar_split_clause,[],[f1374,f1351,f631,f533,f302]) ).
fof(f533,plain,
( spl29_48
<=> l1_struct_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_48])]) ).
fof(f1374,plain,
( ~ l1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ spl29_70
| ~ spl29_190 ),
inference(resolution,[],[f1353,f632]) ).
fof(f1353,plain,
( v1_xboole_0(u1_struct_0(sK2))
| ~ spl29_190 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1398,plain,
( ~ spl29_193
| ~ spl29_120
| spl29_189
| ~ spl29_190 ),
inference(avatar_split_clause,[],[f1393,f1351,f1347,f941,f1395]) ).
fof(f1395,plain,
( spl29_193
<=> r2_hidden(sK4,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_193])]) ).
fof(f1393,plain,
( ~ r2_hidden(sK4,sK20)
| ~ spl29_120
| spl29_189
| ~ spl29_190 ),
inference(forward_demodulation,[],[f1348,f1375]) ).
fof(f1375,plain,
( u1_struct_0(sK2) = sK20
| ~ spl29_120
| ~ spl29_190 ),
inference(resolution,[],[f1353,f942]) ).
fof(f1348,plain,
( ~ r2_hidden(sK4,u1_struct_0(sK2))
| spl29_189 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1392,plain,
( ~ spl29_13
| ~ spl29_55
| ~ spl29_120
| ~ spl29_189
| ~ spl29_190 ),
inference(avatar_split_clause,[],[f1390,f1351,f1347,f941,f562,f361]) ).
fof(f361,plain,
( spl29_13
<=> v1_xboole_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).
fof(f1390,plain,
( ~ v1_xboole_0(sK20)
| ~ spl29_55
| ~ spl29_120
| ~ spl29_189
| ~ spl29_190 ),
inference(forward_demodulation,[],[f1386,f1375]) ).
fof(f1386,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ spl29_55
| ~ spl29_189 ),
inference(resolution,[],[f1349,f563]) ).
fof(f1373,plain,
( spl29_192
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f197,f336,f1370]) ).
fof(f197,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f1366,plain,
( spl29_191
| spl29_190
| ~ spl29_74
| ~ spl29_148 ),
inference(avatar_split_clause,[],[f1361,f1079,f653,f1351,f1363]) ).
fof(f1363,plain,
( spl29_191
<=> r2_hidden(sK10(sK2,sK3),u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_191])]) ).
fof(f1079,plain,
( spl29_148
<=> m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_148])]) ).
fof(f1361,plain,
( v1_xboole_0(u1_struct_0(sK2))
| r2_hidden(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ spl29_74
| ~ spl29_148 ),
inference(resolution,[],[f1080,f654]) ).
fof(f1080,plain,
( m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ spl29_148 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1360,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| spl29_8
| ~ spl29_102
| spl29_148 ),
inference(avatar_split_clause,[],[f1085,f1079,f835,f336,f327,f322,f317,f312,f307,f302]) ).
fof(f835,plain,
( spl29_102
<=> ! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_102])]) ).
fof(f1085,plain,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_102
| spl29_148 ),
inference(resolution,[],[f1081,f836]) ).
fof(f836,plain,
( ! [X0,X1] :
( m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_102 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1081,plain,
( ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| spl29_148 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1354,plain,
( spl29_189
| spl29_190
| ~ spl29_7
| ~ spl29_74 ),
inference(avatar_split_clause,[],[f1339,f653,f332,f1351,f1347]) ).
fof(f1339,plain,
( v1_xboole_0(u1_struct_0(sK2))
| r2_hidden(sK4,u1_struct_0(sK2))
| ~ spl29_7
| ~ spl29_74 ),
inference(resolution,[],[f334,f654]) ).
fof(f334,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f1344,plain,
( spl29_188
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f196,f336,f1341]) ).
fof(f196,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f1338,plain,
( spl29_186
| spl29_187
| ~ spl29_74
| ~ spl29_146 ),
inference(avatar_split_clause,[],[f1329,f1071,f653,f1335,f1331]) ).
fof(f1071,plain,
( spl29_146
<=> m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_146])]) ).
fof(f1329,plain,
( v1_xboole_0(u1_struct_0(sK3))
| r2_hidden(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ spl29_74
| ~ spl29_146 ),
inference(resolution,[],[f1072,f654]) ).
fof(f1072,plain,
( m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ spl29_146 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1328,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| spl29_8
| ~ spl29_104
| spl29_146 ),
inference(avatar_split_clause,[],[f1083,f1071,f843,f336,f327,f322,f317,f312,f307,f302]) ).
fof(f843,plain,
( spl29_104
<=> ! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_104])]) ).
fof(f1083,plain,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_104
| spl29_146 ),
inference(resolution,[],[f1073,f844]) ).
fof(f844,plain,
( ! [X0,X1] :
( m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_104 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f1073,plain,
( ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| spl29_146 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1325,plain,
( spl29_185
| ~ spl29_92
| ~ spl29_96 ),
inference(avatar_split_clause,[],[f808,f800,f778,f1323]) ).
fof(f1323,plain,
( spl29_185
<=> ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_185])]) ).
fof(f778,plain,
( spl29_92
<=> ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_92])]) ).
fof(f800,plain,
( spl29_96
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_96])]) ).
fof(f808,plain,
( ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl29_92
| ~ spl29_96 ),
inference(resolution,[],[f801,f779]) ).
fof(f779,plain,
( ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl29_92 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f801,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl29_96 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1319,plain,
( spl29_184
| ~ spl29_92
| ~ spl29_97 ),
inference(avatar_split_clause,[],[f810,f804,f778,f1317]) ).
fof(f1317,plain,
( spl29_184
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_184])]) ).
fof(f804,plain,
( spl29_97
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_97])]) ).
fof(f810,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl29_92
| ~ spl29_97 ),
inference(resolution,[],[f805,f779]) ).
fof(f805,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl29_97 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f1309,plain,
( spl29_183
| ~ spl29_74
| ~ spl29_105 ),
inference(avatar_split_clause,[],[f853,f850,f653,f1307]) ).
fof(f1307,plain,
( spl29_183
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k2_group_3(X1,X2,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_183])]) ).
fof(f850,plain,
( spl29_105
<=> ! [X2,X0,X1] :
( m1_subset_1(k2_group_3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_105])]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k2_group_3(X1,X2,X0),u1_struct_0(X1)) )
| ~ spl29_74
| ~ spl29_105 ),
inference(resolution,[],[f851,f654]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k2_group_3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_105 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f1305,plain,
( spl29_182
| ~ spl29_67
| ~ spl29_101 ),
inference(avatar_split_clause,[],[f832,f829,f617,f1303]) ).
fof(f1303,plain,
( spl29_182
<=> ! [X0] :
( ~ m1_relset_1(sK16(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK16(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_182])]) ).
fof(f617,plain,
( spl29_67
<=> ! [X0,X1] : v1_funct_2(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_67])]) ).
fof(f829,plain,
( spl29_101
<=> ! [X0,X1] :
( ~ v3_struct_0(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_101])]) ).
fof(f832,plain,
( ! [X0] :
( ~ m1_relset_1(sK16(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,sK16(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X0,X0),X0))
| v1_xboole_0(X0) )
| ~ spl29_67
| ~ spl29_101 ),
inference(resolution,[],[f830,f618]) ).
fof(f618,plain,
( ! [X0,X1] : v1_funct_2(sK16(X0,X1),X0,X1)
| ~ spl29_67 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f830,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl29_101 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f1286,plain,
( spl29_181
| ~ spl29_74
| ~ spl29_104 ),
inference(avatar_split_clause,[],[f848,f843,f653,f1284]) ).
fof(f1284,plain,
( spl29_181
<=> ! [X0,X1] :
( v1_group_3(X0,X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK11(X1,X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_181])]) ).
fof(f848,plain,
( ! [X0,X1] :
( v1_group_3(X0,X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK11(X1,X0),u1_struct_0(X0)) )
| ~ spl29_74
| ~ spl29_104 ),
inference(resolution,[],[f844,f654]) ).
fof(f1282,plain,
( spl29_180
| ~ spl29_74
| ~ spl29_103 ),
inference(avatar_split_clause,[],[f847,f839,f653,f1280]) ).
fof(f1280,plain,
( spl29_180
<=> ! [X0,X1] :
( v1_group_3(X0,X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK11(X1,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_180])]) ).
fof(f847,plain,
( ! [X0,X1] :
( v1_group_3(X0,X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK11(X1,X0),u1_struct_0(X1)) )
| ~ spl29_74
| ~ spl29_103 ),
inference(resolution,[],[f840,f654]) ).
fof(f1278,plain,
( spl29_179
| ~ spl29_74
| ~ spl29_102 ),
inference(avatar_split_clause,[],[f846,f835,f653,f1276]) ).
fof(f1276,plain,
( spl29_179
<=> ! [X0,X1] :
( v1_group_3(X0,X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK10(X1,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_179])]) ).
fof(f846,plain,
( ! [X0,X1] :
( v1_group_3(X0,X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK10(X1,X0),u1_struct_0(X1)) )
| ~ spl29_74
| ~ spl29_102 ),
inference(resolution,[],[f836,f654]) ).
fof(f1270,plain,
( spl29_178
| ~ spl29_92
| ~ spl29_101 ),
inference(avatar_split_clause,[],[f833,f829,f778,f1268]) ).
fof(f1268,plain,
( spl29_178
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_178])]) ).
fof(f833,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl29_92
| ~ spl29_101 ),
inference(resolution,[],[f830,f779]) ).
fof(f1266,plain,
( spl29_177
| ~ spl29_67
| ~ spl29_100 ),
inference(avatar_split_clause,[],[f826,f821,f617,f1264]) ).
fof(f1264,plain,
( spl29_177
<=> ! [X0] :
( ~ m1_relset_1(sK16(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK16(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_177])]) ).
fof(f821,plain,
( spl29_100
<=> ! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_100])]) ).
fof(f826,plain,
( ! [X0] :
( ~ m1_relset_1(sK16(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK16(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl29_67
| ~ spl29_100 ),
inference(resolution,[],[f822,f618]) ).
fof(f822,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl29_100 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1262,plain,
( spl29_176
| ~ spl29_67
| ~ spl29_99 ),
inference(avatar_split_clause,[],[f824,f817,f617,f1260]) ).
fof(f1260,plain,
( spl29_176
<=> ! [X0] :
( ~ m1_relset_1(sK16(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK16(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_176])]) ).
fof(f817,plain,
( spl29_99
<=> ! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_99])]) ).
fof(f824,plain,
( ! [X0] :
( ~ m1_relset_1(sK16(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK16(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK16(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl29_67
| ~ spl29_99 ),
inference(resolution,[],[f818,f618]) ).
fof(f818,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl29_99 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1254,plain,
( spl29_174
| ~ spl29_175
| ~ spl29_88
| ~ spl29_112 ),
inference(avatar_split_clause,[],[f890,f886,f742,f1251,f1247]) ).
fof(f1247,plain,
( spl29_174
<=> sK3 = g1_group_1(u1_struct_0(sK3),u1_group_1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_174])]) ).
fof(f1251,plain,
( spl29_175
<=> v1_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_175])]) ).
fof(f742,plain,
( spl29_88
<=> ! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_88])]) ).
fof(f886,plain,
( spl29_112
<=> l1_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_112])]) ).
fof(f890,plain,
( ~ v1_group_1(sK3)
| sK3 = g1_group_1(u1_struct_0(sK3),u1_group_1(sK3))
| ~ spl29_88
| ~ spl29_112 ),
inference(resolution,[],[f888,f743]) ).
fof(f743,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 )
| ~ spl29_88 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f888,plain,
( l1_group_1(sK3)
| ~ spl29_112 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f1245,plain,
( spl29_173
| ~ spl29_92
| ~ spl29_100 ),
inference(avatar_split_clause,[],[f827,f821,f778,f1243]) ).
fof(f1243,plain,
( spl29_173
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_173])]) ).
fof(f827,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl29_92
| ~ spl29_100 ),
inference(resolution,[],[f822,f779]) ).
fof(f1241,plain,
( spl29_172
| ~ spl29_92
| ~ spl29_99 ),
inference(avatar_split_clause,[],[f825,f817,f778,f1239]) ).
fof(f1239,plain,
( spl29_172
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_172])]) ).
fof(f825,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl29_92
| ~ spl29_99 ),
inference(resolution,[],[f818,f779]) ).
fof(f1235,plain,
( spl29_171
| ~ spl29_67
| ~ spl29_97 ),
inference(avatar_split_clause,[],[f809,f804,f617,f1233]) ).
fof(f1233,plain,
( spl29_171
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK16(X0,X1))
| ~ v1_funct_1(sK16(X0,X1))
| ~ m1_relset_1(sK16(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_171])]) ).
fof(f809,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK16(X0,X1))
| ~ v1_funct_1(sK16(X0,X1))
| ~ m1_relset_1(sK16(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl29_67
| ~ spl29_97 ),
inference(resolution,[],[f805,f618]) ).
fof(f1231,plain,
( spl29_170
| ~ spl29_67
| ~ spl29_96 ),
inference(avatar_split_clause,[],[f807,f800,f617,f1229]) ).
fof(f1229,plain,
( spl29_170
<=> ! [X0,X1] :
( v1_partfun1(sK16(X0,X1),X0,X1)
| ~ v1_funct_1(sK16(X0,X1))
| ~ m1_relset_1(sK16(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_170])]) ).
fof(f807,plain,
( ! [X0,X1] :
( v1_partfun1(sK16(X0,X1),X0,X1)
| ~ v1_funct_1(sK16(X0,X1))
| ~ m1_relset_1(sK16(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl29_67
| ~ spl29_96 ),
inference(resolution,[],[f801,f618]) ).
fof(f1222,plain,
( spl29_169
| ~ spl29_74
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f731,f710,f653,f1220]) ).
fof(f1220,plain,
( spl29_169
<=> ! [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,[spl29_169])]) ).
fof(f710,plain,
( spl29_85
<=> ! [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,[spl29_85])]) ).
fof(f731,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))) )
| ~ spl29_74
| ~ spl29_85 ),
inference(resolution,[],[f711,f654]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl29_85 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f1213,plain,
( spl29_168
| ~ spl29_74
| ~ spl29_80 ),
inference(avatar_split_clause,[],[f718,f688,f653,f1211]) ).
fof(f1211,plain,
( spl29_168
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_168])]) ).
fof(f688,plain,
( spl29_80
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_80])]) ).
fof(f718,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl29_74
| ~ spl29_80 ),
inference(resolution,[],[f689,f654]) ).
fof(f689,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl29_80 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f1202,plain,
( spl29_167
| ~ spl29_77
| ~ spl29_93 ),
inference(avatar_split_clause,[],[f785,f782,f666,f1200]) ).
fof(f1200,plain,
( spl29_167
<=> ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_167])]) ).
fof(f666,plain,
( spl29_77
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_77])]) ).
fof(f782,plain,
( spl29_93
<=> ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_93])]) ).
fof(f785,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl29_77
| ~ spl29_93 ),
inference(resolution,[],[f783,f667]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl29_77 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f783,plain,
( ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl29_93 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1198,plain,
( spl29_166
| ~ spl29_80
| ~ spl29_86 ),
inference(avatar_split_clause,[],[f735,f714,f688,f1196]) ).
fof(f1196,plain,
( spl29_166
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_166])]) ).
fof(f714,plain,
( spl29_86
<=> ! [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,[spl29_86])]) ).
fof(f735,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl29_80
| ~ spl29_86 ),
inference(resolution,[],[f715,f689]) ).
fof(f715,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl29_86 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f1194,plain,
( spl29_165
| ~ spl29_85
| ~ spl29_86 ),
inference(avatar_split_clause,[],[f734,f714,f710,f1192]) ).
fof(f1192,plain,
( spl29_165
<=> ! [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,[spl29_165])]) ).
fof(f734,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl29_85
| ~ spl29_86 ),
inference(resolution,[],[f715,f711]) ).
fof(f1177,plain,
( spl29_164
| ~ spl29_26
| ~ spl29_118 ),
inference(avatar_split_clause,[],[f936,f924,f426,f1174]) ).
fof(f1174,plain,
( spl29_164
<=> v1_relat_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_164])]) ).
fof(f426,plain,
( spl29_26
<=> v1_relat_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_26])]) ).
fof(f924,plain,
( spl29_118
<=> sK20 = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl29_118])]) ).
fof(f936,plain,
( v1_relat_1(sK20)
| ~ spl29_26
| ~ spl29_118 ),
inference(superposition,[],[f428,f926]) ).
fof(f926,plain,
( sK20 = sK25
| ~ spl29_118 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f428,plain,
( v1_relat_1(sK25)
| ~ spl29_26 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f1172,plain,
( spl29_163
| ~ spl29_84
| ~ spl29_94 ),
inference(avatar_split_clause,[],[f794,f787,f706,f1170]) ).
fof(f1170,plain,
( spl29_163
<=> ! [X0] :
( v4_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_163])]) ).
fof(f706,plain,
( spl29_84
<=> ! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_84])]) ).
fof(f787,plain,
( spl29_94
<=> ! [X0,X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_94])]) ).
fof(f794,plain,
( ! [X0] :
( v4_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_94 ),
inference(duplicate_literal_removal,[],[f793]) ).
fof(f793,plain,
( ! [X0] :
( v4_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_94 ),
inference(resolution,[],[f788,f707]) ).
fof(f707,plain,
( ! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f788,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v4_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_94 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1168,plain,
( spl29_162
| ~ spl29_59
| ~ spl29_91 ),
inference(avatar_split_clause,[],[f774,f754,f585,f1166]) ).
fof(f1166,plain,
( spl29_162
<=> ! [X0] :
( l1_group_1(sK8(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_162])]) ).
fof(f585,plain,
( spl29_59
<=> ! [X0] :
( m1_group_2(sK8(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_59])]) ).
fof(f754,plain,
( spl29_91
<=> ! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_91])]) ).
fof(f774,plain,
( ! [X0] :
( l1_group_1(sK8(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl29_59
| ~ spl29_91 ),
inference(resolution,[],[f755,f586]) ).
fof(f586,plain,
( ! [X0] :
( m1_group_2(sK8(X0),X0)
| ~ sP1(X0) )
| ~ spl29_59 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f755,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_91 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f1164,plain,
( spl29_161
| ~ spl29_58
| ~ spl29_91 ),
inference(avatar_split_clause,[],[f773,f754,f581,f1162]) ).
fof(f1162,plain,
( spl29_161
<=> ! [X0] :
( l1_group_1(sK7(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_161])]) ).
fof(f581,plain,
( spl29_58
<=> ! [X0] :
( m1_group_2(sK7(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_58])]) ).
fof(f773,plain,
( ! [X0] :
( l1_group_1(sK7(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) )
| ~ spl29_58
| ~ spl29_91 ),
inference(resolution,[],[f755,f582]) ).
fof(f582,plain,
( ! [X0] :
( m1_group_2(sK7(X0),X0)
| ~ sP0(X0) )
| ~ spl29_58 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f1160,plain,
( spl29_160
| ~ spl29_79
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f730,f710,f682,f1158]) ).
fof(f1158,plain,
( spl29_160
<=> ! [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,[spl29_160])]) ).
fof(f682,plain,
( spl29_79
<=> ! [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,[spl29_79])]) ).
fof(f730,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl29_79
| ~ spl29_85 ),
inference(resolution,[],[f711,f683]) ).
fof(f683,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl29_79 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f1151,plain,
( spl29_159
| ~ spl29_72
| ~ spl29_74 ),
inference(avatar_split_clause,[],[f674,f653,f639,f1149]) ).
fof(f1149,plain,
( spl29_159
<=> ! [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,[spl29_159])]) ).
fof(f639,plain,
( spl29_72
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_72])]) ).
fof(f674,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl29_72
| ~ spl29_74 ),
inference(resolution,[],[f654,f640]) ).
fof(f640,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl29_72 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f1142,plain,
( spl29_158
| ~ spl29_84
| ~ spl29_91 ),
inference(avatar_split_clause,[],[f776,f754,f706,f1140]) ).
fof(f1140,plain,
( spl29_158
<=> ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_158])]) ).
fof(f776,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_91 ),
inference(duplicate_literal_removal,[],[f775]) ).
fof(f775,plain,
( ! [X0] :
( l1_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_91 ),
inference(resolution,[],[f755,f707]) ).
fof(f1138,plain,
( spl29_157
| ~ spl29_84
| ~ spl29_90 ),
inference(avatar_split_clause,[],[f771,f750,f706,f1136]) ).
fof(f1136,plain,
( spl29_157
<=> ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_157])]) ).
fof(f750,plain,
( spl29_90
<=> ! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_90])]) ).
fof(f771,plain,
( ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_90 ),
inference(duplicate_literal_removal,[],[f770]) ).
fof(f770,plain,
( ! [X0] :
( v3_group_1(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_90 ),
inference(resolution,[],[f751,f707]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_90 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1134,plain,
( spl29_156
| ~ spl29_84
| ~ spl29_89 ),
inference(avatar_split_clause,[],[f766,f746,f706,f1132]) ).
fof(f1132,plain,
( spl29_156
<=> ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_156])]) ).
fof(f746,plain,
( spl29_89
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_89])]) ).
fof(f766,plain,
( ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_89 ),
inference(duplicate_literal_removal,[],[f765]) ).
fof(f765,plain,
( ! [X0] :
( ~ v3_struct_0(sK9(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_84
| ~ spl29_89 ),
inference(resolution,[],[f747,f707]) ).
fof(f747,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_89 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1126,plain,
( spl29_155
| ~ spl29_25
| ~ spl29_24
| ~ spl29_88 ),
inference(avatar_split_clause,[],[f761,f742,f416,f421,f1123]) ).
fof(f1123,plain,
( spl29_155
<=> sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_155])]) ).
fof(f421,plain,
( spl29_25
<=> v1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_25])]) ).
fof(f416,plain,
( spl29_24
<=> l1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_24])]) ).
fof(f761,plain,
( ~ v1_group_1(sK24)
| sK24 = g1_group_1(u1_struct_0(sK24),u1_group_1(sK24))
| ~ spl29_24
| ~ spl29_88 ),
inference(resolution,[],[f743,f418]) ).
fof(f418,plain,
( l1_group_1(sK24)
| ~ spl29_24 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f1117,plain,
( spl29_154
| ~ spl29_21
| ~ spl29_19
| ~ spl29_88 ),
inference(avatar_split_clause,[],[f760,f742,f391,f401,f1114]) ).
fof(f1114,plain,
( spl29_154
<=> sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_154])]) ).
fof(f401,plain,
( spl29_21
<=> v1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
fof(f391,plain,
( spl29_19
<=> l1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f760,plain,
( ~ v1_group_1(sK23)
| sK23 = g1_group_1(u1_struct_0(sK23),u1_group_1(sK23))
| ~ spl29_19
| ~ spl29_88 ),
inference(resolution,[],[f743,f393]) ).
fof(f393,plain,
( l1_group_1(sK23)
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f1108,plain,
( spl29_153
| ~ spl29_18
| ~ spl29_16
| ~ spl29_88 ),
inference(avatar_split_clause,[],[f759,f742,f376,f386,f1105]) ).
fof(f1105,plain,
( spl29_153
<=> sK22 = g1_group_1(u1_struct_0(sK22),u1_group_1(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_153])]) ).
fof(f386,plain,
( spl29_18
<=> v1_group_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).
fof(f376,plain,
( spl29_16
<=> l1_group_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_16])]) ).
fof(f759,plain,
( ~ v1_group_1(sK22)
| sK22 = g1_group_1(u1_struct_0(sK22),u1_group_1(sK22))
| ~ spl29_16
| ~ spl29_88 ),
inference(resolution,[],[f743,f378]) ).
fof(f378,plain,
( l1_group_1(sK22)
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f1103,plain,
( spl29_109
| ~ spl29_111
| ~ spl29_116
| spl29_152
| ~ spl29_81
| ~ spl29_112 ),
inference(avatar_split_clause,[],[f892,f886,f692,f1100,f914,f881,f870]) ).
fof(f881,plain,
( spl29_111
<=> v3_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_111])]) ).
fof(f914,plain,
( spl29_116
<=> v4_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_116])]) ).
fof(f1100,plain,
( spl29_152
<=> sP0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_152])]) ).
fof(f692,plain,
( spl29_81
<=> ! [X0] :
( sP0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_81])]) ).
fof(f892,plain,
( sP0(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl29_81
| ~ spl29_112 ),
inference(resolution,[],[f888,f693]) ).
fof(f693,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| sP0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_81 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f1098,plain,
( spl29_150
| ~ spl29_151
| ~ spl29_12
| ~ spl29_88 ),
inference(avatar_split_clause,[],[f758,f742,f356,f1095,f1091]) ).
fof(f1091,plain,
( spl29_150
<=> sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_150])]) ).
fof(f1095,plain,
( spl29_151
<=> v1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_151])]) ).
fof(f356,plain,
( spl29_12
<=> l1_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).
fof(f758,plain,
( ~ v1_group_1(sK19)
| sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19))
| ~ spl29_12
| ~ spl29_88 ),
inference(resolution,[],[f743,f358]) ).
fof(f358,plain,
( l1_group_1(sK19)
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f1089,plain,
( spl29_149
| ~ spl29_72
| ~ spl29_86 ),
inference(avatar_split_clause,[],[f733,f714,f639,f1087]) ).
fof(f733,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl29_72
| ~ spl29_86 ),
inference(resolution,[],[f715,f640]) ).
fof(f1082,plain,
( ~ spl29_146
| ~ spl29_147
| ~ spl29_148
| spl29_1
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| spl29_8
| ~ spl29_56
| ~ spl29_108 ),
inference(avatar_split_clause,[],[f868,f865,f572,f336,f327,f322,f317,f312,f307,f302,f1079,f1075,f1071]) ).
fof(f865,plain,
( spl29_108
<=> ! [X0,X1] :
( v1_group_3(X1,X0)
| ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_108])]) ).
fof(f868,plain,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| v3_struct_0(sK2)
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ spl29_56
| ~ spl29_108 ),
inference(resolution,[],[f866,f573]) ).
fof(f866,plain,
( ! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_108 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f1067,plain,
( spl29_145
| ~ spl29_39
| ~ spl29_86 ),
inference(avatar_split_clause,[],[f732,f714,f488,f1065]) ).
fof(f1065,plain,
( spl29_145
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK12(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_145])]) ).
fof(f488,plain,
( spl29_39
<=> ! [X0] : m1_subset_1(sK12(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_39])]) ).
fof(f732,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK12(k1_zfmisc_1(X1))) )
| ~ spl29_39
| ~ spl29_86 ),
inference(resolution,[],[f715,f489]) ).
fof(f489,plain,
( ! [X0] : m1_subset_1(sK12(X0),X0)
| ~ spl29_39 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f1063,plain,
( spl29_20
| ~ spl29_22
| ~ spl29_23
| spl29_144
| ~ spl29_19
| ~ spl29_83 ),
inference(avatar_split_clause,[],[f727,f702,f391,f1060,f411,f406,f396]) ).
fof(f396,plain,
( spl29_20
<=> v3_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f406,plain,
( spl29_22
<=> v3_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_22])]) ).
fof(f411,plain,
( spl29_23
<=> v4_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).
fof(f1060,plain,
( spl29_144
<=> sP1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_144])]) ).
fof(f702,plain,
( spl29_83
<=> ! [X0] :
( sP1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_83])]) ).
fof(f727,plain,
( sP1(sK23)
| ~ v4_group_1(sK23)
| ~ v3_group_1(sK23)
| v3_struct_0(sK23)
| ~ spl29_19
| ~ spl29_83 ),
inference(resolution,[],[f703,f393]) ).
fof(f703,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| sP1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl29_83 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f1058,plain,
( spl29_140
| ~ spl29_141
| ~ spl29_142
| spl29_143
| ~ spl29_24
| ~ spl29_81 ),
inference(avatar_split_clause,[],[f723,f692,f416,f1055,f1051,f1047,f1043]) ).
fof(f1043,plain,
( spl29_140
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_140])]) ).
fof(f1047,plain,
( spl29_141
<=> v3_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_141])]) ).
fof(f1051,plain,
( spl29_142
<=> v4_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_142])]) ).
fof(f1055,plain,
( spl29_143
<=> sP0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_143])]) ).
fof(f723,plain,
( sP0(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ spl29_24
| ~ spl29_81 ),
inference(resolution,[],[f693,f418]) ).
fof(f1041,plain,
( spl29_20
| ~ spl29_22
| ~ spl29_23
| spl29_139
| ~ spl29_19
| ~ spl29_81 ),
inference(avatar_split_clause,[],[f722,f692,f391,f1038,f411,f406,f396]) ).
fof(f1038,plain,
( spl29_139
<=> sP0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_139])]) ).
fof(f722,plain,
( sP0(sK23)
| ~ v4_group_1(sK23)
| ~ v3_group_1(sK23)
| v3_struct_0(sK23)
| ~ spl29_19
| ~ spl29_81 ),
inference(resolution,[],[f693,f393]) ).
fof(f1036,plain,
( spl29_17
| ~ spl29_136
| ~ spl29_137
| spl29_138
| ~ spl29_16
| ~ spl29_81 ),
inference(avatar_split_clause,[],[f721,f692,f376,f1033,f1029,f1025,f381]) ).
fof(f381,plain,
( spl29_17
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_17])]) ).
fof(f1025,plain,
( spl29_136
<=> v3_group_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_136])]) ).
fof(f1029,plain,
( spl29_137
<=> v4_group_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_137])]) ).
fof(f1033,plain,
( spl29_138
<=> sP0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_138])]) ).
fof(f721,plain,
( sP0(sK22)
| ~ v4_group_1(sK22)
| ~ v3_group_1(sK22)
| v3_struct_0(sK22)
| ~ spl29_16
| ~ spl29_81 ),
inference(resolution,[],[f693,f378]) ).
fof(f1023,plain,
( spl29_132
| ~ spl29_133
| ~ spl29_134
| spl29_135
| ~ spl29_12
| ~ spl29_81 ),
inference(avatar_split_clause,[],[f720,f692,f356,f1020,f1016,f1012,f1008]) ).
fof(f1008,plain,
( spl29_132
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_132])]) ).
fof(f1012,plain,
( spl29_133
<=> v3_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_133])]) ).
fof(f1016,plain,
( spl29_134
<=> v4_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_134])]) ).
fof(f1020,plain,
( spl29_135
<=> sP0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_135])]) ).
fof(f720,plain,
( sP0(sK19)
| ~ v4_group_1(sK19)
| ~ v3_group_1(sK19)
| v3_struct_0(sK19)
| ~ spl29_12
| ~ spl29_81 ),
inference(resolution,[],[f693,f358]) ).
fof(f1006,plain,
( spl29_131
| ~ spl29_72
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f686,f682,f639,f1004]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl29_72
| ~ spl29_79 ),
inference(resolution,[],[f683,f640]) ).
fof(f1000,plain,
( spl29_130
| ~ spl29_39
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f685,f682,f488,f998]) ).
fof(f998,plain,
( spl29_130
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_130])]) ).
fof(f685,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(k1_zfmisc_1(X0))) )
| ~ spl29_39
| ~ spl29_79 ),
inference(resolution,[],[f683,f489]) ).
fof(f996,plain,
( spl29_129
| ~ spl29_72
| ~ spl29_75 ),
inference(avatar_split_clause,[],[f676,f657,f639,f994]) ).
fof(f657,plain,
( spl29_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,[spl29_75])]) ).
fof(f676,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl29_72
| ~ spl29_75 ),
inference(resolution,[],[f658,f640]) ).
fof(f658,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl29_75 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f980,plain,
( spl29_128
| ~ spl29_75
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f729,f710,f657,f978]) ).
fof(f729,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl29_75
| ~ spl29_85 ),
inference(resolution,[],[f711,f658]) ).
fof(f976,plain,
( spl29_127
| ~ spl29_66
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f680,f670,f613,f974]) ).
fof(f974,plain,
( spl29_127
<=> ! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_127])]) ).
fof(f613,plain,
( spl29_66
<=> ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_66])]) ).
fof(f670,plain,
( spl29_78
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_78])]) ).
fof(f680,plain,
( ! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1)
| ~ spl29_66
| ~ spl29_78 ),
inference(resolution,[],[f671,f614]) ).
fof(f614,plain,
( ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1)
| ~ spl29_66 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl29_78 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f972,plain,
( spl29_109
| ~ spl29_111
| ~ spl29_116
| spl29_126
| ~ spl29_83
| ~ spl29_112 ),
inference(avatar_split_clause,[],[f891,f886,f702,f969,f914,f881,f870]) ).
fof(f969,plain,
( spl29_126
<=> sP1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_126])]) ).
fof(f891,plain,
( sP1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3)
| ~ spl29_83
| ~ spl29_112 ),
inference(resolution,[],[f888,f703]) ).
fof(f967,plain,
( spl29_125
| ~ spl29_65
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f679,f670,f609,f965]) ).
fof(f965,plain,
( spl29_125
<=> ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_125])]) ).
fof(f609,plain,
( spl29_65
<=> ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_65])]) ).
fof(f679,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl29_65
| ~ spl29_78 ),
inference(resolution,[],[f671,f610]) ).
fof(f610,plain,
( ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1)
| ~ spl29_65 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f963,plain,
( spl29_124
| ~ spl29_64
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f678,f670,f605,f961]) ).
fof(f605,plain,
( spl29_64
<=> ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_64])]) ).
fof(f678,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl29_64
| ~ spl29_78 ),
inference(resolution,[],[f671,f606]) ).
fof(f606,plain,
( ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1)
| ~ spl29_64 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f959,plain,
( spl29_123
| ~ spl29_63
| ~ spl29_77 ),
inference(avatar_split_clause,[],[f677,f666,f601,f957]) ).
fof(f957,plain,
( spl29_123
<=> ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_123])]) ).
fof(f677,plain,
( ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1)
| ~ spl29_63
| ~ spl29_77 ),
inference(resolution,[],[f667,f602]) ).
fof(f955,plain,
( spl29_122
| ~ spl29_39
| ~ spl29_75 ),
inference(avatar_split_clause,[],[f675,f657,f488,f953]) ).
fof(f953,plain,
( spl29_122
<=> ! [X0,X1] : v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_122])]) ).
fof(f675,plain,
( ! [X0,X1] : v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl29_39
| ~ spl29_75 ),
inference(resolution,[],[f658,f489]) ).
fof(f951,plain,
( spl29_121
| ~ spl29_39
| ~ spl29_74 ),
inference(avatar_split_clause,[],[f673,f653,f488,f949]) ).
fof(f949,plain,
( spl29_121
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_121])]) ).
fof(f673,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) )
| ~ spl29_39
| ~ spl29_74 ),
inference(resolution,[],[f654,f489]) ).
fof(f943,plain,
( spl29_120
| ~ spl29_13
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f647,f643,f361,f941]) ).
fof(f643,plain,
( spl29_73
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_73])]) ).
fof(f647,plain,
( ! [X0] :
( sK20 = X0
| ~ v1_xboole_0(X0) )
| ~ spl29_13
| ~ spl29_73 ),
inference(resolution,[],[f644,f363]) ).
fof(f363,plain,
( v1_xboole_0(sK20)
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl29_73 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f932,plain,
( spl29_119
| ~ spl29_13
| ~ spl29_35
| ~ spl29_45 ),
inference(avatar_split_clause,[],[f570,f521,f471,f361,f929]) ).
fof(f929,plain,
( spl29_119
<=> sK20 = sK28 ),
introduced(avatar_definition,[new_symbols(naming,[spl29_119])]) ).
fof(f471,plain,
( spl29_35
<=> v1_xboole_0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_35])]) ).
fof(f521,plain,
( spl29_45
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_45])]) ).
fof(f570,plain,
( sK20 = sK28
| ~ spl29_13
| ~ spl29_35
| ~ spl29_45 ),
inference(forward_demodulation,[],[f568,f566]) ).
fof(f566,plain,
( k1_xboole_0 = sK20
| ~ spl29_13
| ~ spl29_45 ),
inference(resolution,[],[f522,f363]) ).
fof(f522,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl29_45 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f568,plain,
( k1_xboole_0 = sK28
| ~ spl29_35
| ~ spl29_45 ),
inference(resolution,[],[f522,f473]) ).
fof(f473,plain,
( v1_xboole_0(sK28)
| ~ spl29_35 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f927,plain,
( spl29_118
| ~ spl29_13
| ~ spl29_27
| ~ spl29_45 ),
inference(avatar_split_clause,[],[f569,f521,f431,f361,f924]) ).
fof(f431,plain,
( spl29_27
<=> v1_xboole_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_27])]) ).
fof(f569,plain,
( sK20 = sK25
| ~ spl29_13
| ~ spl29_27
| ~ spl29_45 ),
inference(forward_demodulation,[],[f567,f566]) ).
fof(f567,plain,
( k1_xboole_0 = sK25
| ~ spl29_27
| ~ spl29_45 ),
inference(resolution,[],[f522,f433]) ).
fof(f433,plain,
( v1_xboole_0(sK25)
| ~ spl29_27 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f922,plain,
( spl29_117
| ~ spl29_13
| ~ spl29_45 ),
inference(avatar_split_clause,[],[f566,f521,f361,f919]) ).
fof(f919,plain,
( spl29_117
<=> k1_xboole_0 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl29_117])]) ).
fof(f917,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| spl29_116
| ~ spl29_6
| ~ spl29_94 ),
inference(avatar_split_clause,[],[f790,f787,f327,f914,f322,f317,f312,f302]) ).
fof(f790,plain,
( v4_group_1(sK3)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_6
| ~ spl29_94 ),
inference(resolution,[],[f788,f329]) ).
fof(f329,plain,
( m1_group_2(sK3,sK2)
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f908,plain,
( spl29_115
| ~ spl29_2
| ~ spl29_5
| ~ spl29_88 ),
inference(avatar_split_clause,[],[f757,f742,f322,f307,f905]) ).
fof(f905,plain,
( spl29_115
<=> sK2 = g1_group_1(u1_struct_0(sK2),u1_group_1(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_115])]) ).
fof(f757,plain,
( ~ v1_group_1(sK2)
| sK2 = g1_group_1(u1_struct_0(sK2),u1_group_1(sK2))
| ~ spl29_5
| ~ spl29_88 ),
inference(resolution,[],[f743,f324]) ).
fof(f324,plain,
( l1_group_1(sK2)
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f903,plain,
( spl29_114
| ~ spl29_37
| ~ spl29_112 ),
inference(avatar_split_clause,[],[f893,f886,f480,f900]) ).
fof(f480,plain,
( spl29_37
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_37])]) ).
fof(f893,plain,
( l1_struct_0(sK3)
| ~ spl29_37
| ~ spl29_112 ),
inference(resolution,[],[f888,f481]) ).
fof(f481,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl29_37 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f898,plain,
( spl29_113
| ~ spl29_13
| ~ spl29_38 ),
inference(avatar_split_clause,[],[f513,f484,f361,f895]) ).
fof(f895,plain,
( spl29_113
<=> v1_funct_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_113])]) ).
fof(f484,plain,
( spl29_38
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_38])]) ).
fof(f513,plain,
( v1_funct_1(sK20)
| ~ spl29_13
| ~ spl29_38 ),
inference(resolution,[],[f485,f363]) ).
fof(f485,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl29_38 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f889,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_5
| spl29_112
| ~ spl29_6
| ~ spl29_91 ),
inference(avatar_split_clause,[],[f772,f754,f327,f886,f322,f312,f302]) ).
fof(f772,plain,
( l1_group_1(sK3)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_6
| ~ spl29_91 ),
inference(resolution,[],[f755,f329]) ).
fof(f884,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_5
| spl29_111
| ~ spl29_6
| ~ spl29_90 ),
inference(avatar_split_clause,[],[f767,f750,f327,f881,f322,f312,f302]) ).
fof(f767,plain,
( v3_group_1(sK3)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_6
| ~ spl29_90 ),
inference(resolution,[],[f751,f329]) ).
fof(f877,plain,
spl29_110,
inference(avatar_split_clause,[],[f229,f875]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v1_group_3(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f873,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_5
| ~ spl29_109
| ~ spl29_6
| ~ spl29_89 ),
inference(avatar_split_clause,[],[f762,f746,f327,f870,f322,f312,f302]) ).
fof(f762,plain,
( ~ v3_struct_0(sK3)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_6
| ~ spl29_89 ),
inference(resolution,[],[f747,f329]) ).
fof(f867,plain,
spl29_108,
inference(avatar_split_clause,[],[f233,f865]) ).
fof(f233,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f99,f151,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK10(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK10(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f861,plain,
spl29_107,
inference(avatar_split_clause,[],[f253,f859]) ).
fof(f859,plain,
( spl29_107
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_107])]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f857,plain,
spl29_106,
inference(avatar_split_clause,[],[f252,f855]) ).
fof(f855,plain,
( spl29_106
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_106])]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f852,plain,
spl29_105,
inference(avatar_split_clause,[],[f270,f850]) ).
fof(f270,plain,
! [X2,X0,X1] :
( m1_subset_1(k2_group_3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_group_3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_group_3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_3(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_3) ).
fof(f845,plain,
spl29_104,
inference(avatar_split_clause,[],[f232,f843]) ).
fof(f232,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f841,plain,
spl29_103,
inference(avatar_split_clause,[],[f231,f839]) ).
fof(f231,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK11(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f837,plain,
spl29_102,
inference(avatar_split_clause,[],[f230,f835]) ).
fof(f230,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f831,plain,
spl29_101,
inference(avatar_split_clause,[],[f248,f829]) ).
fof(f248,plain,
! [X0,X1] :
( ~ v3_struct_0(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_1) ).
fof(f823,plain,
spl29_100,
inference(avatar_split_clause,[],[f251,f821]) ).
fof(f251,plain,
! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f819,plain,
spl29_99,
inference(avatar_split_clause,[],[f250,f817]) ).
fof(f250,plain,
! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f815,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_4
| spl29_98
| ~ spl29_5
| ~ spl29_83 ),
inference(avatar_split_clause,[],[f724,f702,f322,f812,f317,f312,f302]) ).
fof(f812,plain,
( spl29_98
<=> sP1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_98])]) ).
fof(f724,plain,
( sP1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_5
| ~ spl29_83 ),
inference(resolution,[],[f703,f324]) ).
fof(f806,plain,
spl29_97,
inference(avatar_split_clause,[],[f245,f804]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f802,plain,
spl29_96,
inference(avatar_split_clause,[],[f239,f800]) ).
fof(f239,plain,
! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f798,plain,
spl29_95,
inference(avatar_split_clause,[],[f268,f796]) ).
fof(f796,plain,
( spl29_95
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_95])]) ).
fof(f268,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f789,plain,
spl29_94,
inference(avatar_split_clause,[],[f211,f787]) ).
fof(f211,plain,
! [X0,X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> v4_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_group_2) ).
fof(f784,plain,
spl29_93,
inference(avatar_split_clause,[],[f203,f782]) ).
fof(f203,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f780,plain,
spl29_92,
inference(avatar_split_clause,[],[f202,f778]) ).
fof(f202,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f756,plain,
spl29_91,
inference(avatar_split_clause,[],[f227,f754]) ).
fof(f227,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f752,plain,
spl29_90,
inference(avatar_split_clause,[],[f226,f750]) ).
fof(f226,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f748,plain,
spl29_89,
inference(avatar_split_clause,[],[f225,f746]) ).
fof(f225,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f744,plain,
spl29_88,
inference(avatar_split_clause,[],[f204,f742]) ).
fof(f204,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f740,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_4
| spl29_87
| ~ spl29_5
| ~ spl29_81 ),
inference(avatar_split_clause,[],[f719,f692,f322,f737,f317,f312,f302]) ).
fof(f737,plain,
( spl29_87
<=> sP0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_87])]) ).
fof(f719,plain,
( sP0(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ spl29_5
| ~ spl29_81 ),
inference(resolution,[],[f693,f324]) ).
fof(f716,plain,
spl29_86,
inference(avatar_split_clause,[],[f271,f714]) ).
fof(f271,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,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(f712,plain,
spl29_85,
inference(avatar_split_clause,[],[f266,f710]) ).
fof(f266,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,[],[f119]) ).
fof(f119,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,[],[f27]) ).
fof(f27,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(f708,plain,
spl29_84,
inference(avatar_split_clause,[],[f228,f706]) ).
fof(f228,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f95,f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f704,plain,
spl29_83,
inference(avatar_split_clause,[],[f224,f702]) ).
fof(f224,plain,
! [X0] :
( sP1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( sP1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f91,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
inference(pure_predicate_removal,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v2_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_group_3) ).
fof(f699,plain,
( spl29_82
| ~ spl29_9
| ~ spl29_38 ),
inference(avatar_split_clause,[],[f512,f484,f341,f696]) ).
fof(f696,plain,
( spl29_82
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_82])]) ).
fof(f341,plain,
( spl29_9
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).
fof(f512,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl29_9
| ~ spl29_38 ),
inference(resolution,[],[f485,f343]) ).
fof(f343,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f694,plain,
spl29_81,
inference(avatar_split_clause,[],[f217,f692]) ).
fof(f217,plain,
! [X0] :
( sP0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( sP0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f89,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
inference(pure_predicate_removal,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v2_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_group_2) ).
fof(f690,plain,
spl29_80,
inference(avatar_split_clause,[],[f209,f688]) ).
fof(f209,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f85,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f85,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,[],[f84]) ).
fof(f84,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,[],[f17]) ).
fof(f17,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(f684,plain,
spl29_79,
inference(avatar_split_clause,[],[f274,f682]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,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(f672,plain,
spl29_78,
inference(avatar_split_clause,[],[f273,f670]) ).
fof(f273,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,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,[],[f24]) ).
fof(f24,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(f668,plain,
spl29_77,
inference(avatar_split_clause,[],[f272,f666]) ).
fof(f272,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f664,plain,
( spl29_76
| ~ spl29_24
| ~ spl29_37 ),
inference(avatar_split_clause,[],[f511,f480,f416,f661]) ).
fof(f661,plain,
( spl29_76
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_76])]) ).
fof(f511,plain,
( l1_struct_0(sK24)
| ~ spl29_24
| ~ spl29_37 ),
inference(resolution,[],[f481,f418]) ).
fof(f659,plain,
spl29_75,
inference(avatar_split_clause,[],[f269,f657]) ).
fof(f269,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,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(f655,plain,
spl29_74,
inference(avatar_split_clause,[],[f243,f653]) ).
fof(f243,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,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(f645,plain,
spl29_73,
inference(avatar_split_clause,[],[f255,f643]) ).
fof(f255,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f641,plain,
spl29_72,
inference(avatar_split_clause,[],[f254,f639]) ).
fof(f254,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f19,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(f637,plain,
spl29_71,
inference(avatar_split_clause,[],[f210,f635]) ).
fof(f635,plain,
( spl29_71
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_71])]) ).
fof(f210,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f633,plain,
spl29_70,
inference(avatar_split_clause,[],[f208,f631]) ).
fof(f208,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f629,plain,
( spl29_69
| ~ spl29_19
| ~ spl29_37 ),
inference(avatar_split_clause,[],[f510,f480,f391,f626]) ).
fof(f626,plain,
( spl29_69
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_69])]) ).
fof(f510,plain,
( l1_struct_0(sK23)
| ~ spl29_19
| ~ spl29_37 ),
inference(resolution,[],[f481,f393]) ).
fof(f624,plain,
( spl29_68
| ~ spl29_16
| ~ spl29_37 ),
inference(avatar_split_clause,[],[f509,f480,f376,f621]) ).
fof(f621,plain,
( spl29_68
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_68])]) ).
fof(f509,plain,
( l1_struct_0(sK22)
| ~ spl29_16
| ~ spl29_37 ),
inference(resolution,[],[f481,f378]) ).
fof(f619,plain,
spl29_67,
inference(avatar_split_clause,[],[f265,f617]) ).
fof(f265,plain,
! [X0,X1] : v1_funct_2(sK16(X0,X1),X0,X1),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( v1_funct_2(sK16(X0,X1),X0,X1)
& v1_funct_1(sK16(X0,X1))
& v1_relat_1(sK16(X0,X1))
& m1_relset_1(sK16(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f8,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK16(X0,X1),X0,X1)
& v1_funct_1(sK16(X0,X1))
& v1_relat_1(sK16(X0,X1))
& m1_relset_1(sK16(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f615,plain,
spl29_66,
inference(avatar_split_clause,[],[f262,f613]) ).
fof(f262,plain,
! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1),
inference(cnf_transformation,[],[f162]) ).
fof(f611,plain,
spl29_65,
inference(avatar_split_clause,[],[f259,f609]) ).
fof(f259,plain,
! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( v1_funct_1(sK15(X0,X1))
& v1_relat_1(sK15(X0,X1))
& m1_relset_1(sK15(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f10,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK15(X0,X1))
& v1_relat_1(sK15(X0,X1))
& m1_relset_1(sK15(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f10,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f607,plain,
spl29_64,
inference(avatar_split_clause,[],[f258,f605]) ).
fof(f258,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f22,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK14(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f603,plain,
spl29_63,
inference(avatar_split_clause,[],[f257,f601]) ).
fof(f257,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f23,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f599,plain,
spl29_62,
inference(avatar_split_clause,[],[f242,f597]) ).
fof(f242,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f595,plain,
spl29_61,
inference(avatar_split_clause,[],[f241,f593]) ).
fof(f241,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f591,plain,
spl29_60,
inference(avatar_split_clause,[],[f223,f589]) ).
fof(f589,plain,
( spl29_60
<=> ! [X0] :
( v1_group_3(sK8(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_60])]) ).
fof(f223,plain,
! [X0] :
( v1_group_3(sK8(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( v1_group_3(sK8(X0),X0)
& v4_group_1(sK8(X0))
& v3_group_1(sK8(X0))
& v1_group_1(sK8(X0))
& ~ v3_struct_0(sK8(X0))
& m1_group_2(sK8(X0),X0) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f145,f146]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
=> ( v1_group_3(sK8(X0),X0)
& v4_group_1(sK8(X0))
& v3_group_1(sK8(X0))
& v1_group_1(sK8(X0))
& ~ v3_struct_0(sK8(X0))
& m1_group_2(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( v1_group_3(X1,X0)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f587,plain,
spl29_59,
inference(avatar_split_clause,[],[f218,f585]) ).
fof(f218,plain,
! [X0] :
( m1_group_2(sK8(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f583,plain,
spl29_58,
inference(avatar_split_clause,[],[f212,f581]) ).
fof(f212,plain,
! [X0] :
( m1_group_2(sK7(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( v4_group_1(sK7(X0))
& v3_group_1(sK7(X0))
& v1_group_1(sK7(X0))
& ~ v3_struct_0(sK7(X0))
& m1_group_2(sK7(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f142,f143]) ).
fof(f143,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
=> ( v4_group_1(sK7(X0))
& v3_group_1(sK7(X0))
& v1_group_1(sK7(X0))
& ~ v3_struct_0(sK7(X0))
& m1_group_2(sK7(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_group_2(X1,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f579,plain,
( spl29_57
| ~ spl29_12
| ~ spl29_37 ),
inference(avatar_split_clause,[],[f508,f480,f356,f576]) ).
fof(f576,plain,
( spl29_57
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_57])]) ).
fof(f508,plain,
( l1_struct_0(sK19)
| ~ spl29_12
| ~ spl29_37 ),
inference(resolution,[],[f481,f358]) ).
fof(f574,plain,
( spl29_56
| spl29_8 ),
inference(avatar_split_clause,[],[f194,f336,f572]) ).
fof(f194,plain,
! [X4,X5] :
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK3))
| ~ m1_subset_1(X5,u1_struct_0(sK2))
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f564,plain,
spl29_55,
inference(avatar_split_clause,[],[f256,f562]) ).
fof(f256,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f560,plain,
spl29_54,
inference(avatar_split_clause,[],[f222,f558]) ).
fof(f558,plain,
( spl29_54
<=> ! [X0] :
( v4_group_1(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_54])]) ).
fof(f222,plain,
! [X0] :
( v4_group_1(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f556,plain,
spl29_53,
inference(avatar_split_clause,[],[f221,f554]) ).
fof(f554,plain,
( spl29_53
<=> ! [X0] :
( v3_group_1(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_53])]) ).
fof(f221,plain,
! [X0] :
( v3_group_1(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f552,plain,
spl29_52,
inference(avatar_split_clause,[],[f220,f550]) ).
fof(f550,plain,
( spl29_52
<=> ! [X0] :
( v1_group_1(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_52])]) ).
fof(f220,plain,
! [X0] :
( v1_group_1(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f548,plain,
spl29_51,
inference(avatar_split_clause,[],[f219,f546]) ).
fof(f546,plain,
( spl29_51
<=> ! [X0] :
( ~ v3_struct_0(sK8(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_51])]) ).
fof(f219,plain,
! [X0] :
( ~ v3_struct_0(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f544,plain,
spl29_50,
inference(avatar_split_clause,[],[f216,f542]) ).
fof(f542,plain,
( spl29_50
<=> ! [X0] :
( v4_group_1(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_50])]) ).
fof(f216,plain,
! [X0] :
( v4_group_1(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f540,plain,
spl29_49,
inference(avatar_split_clause,[],[f215,f538]) ).
fof(f538,plain,
( spl29_49
<=> ! [X0] :
( v3_group_1(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_49])]) ).
fof(f215,plain,
! [X0] :
( v3_group_1(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f536,plain,
( spl29_48
| ~ spl29_5
| ~ spl29_37 ),
inference(avatar_split_clause,[],[f507,f480,f322,f533]) ).
fof(f507,plain,
( l1_struct_0(sK2)
| ~ spl29_5
| ~ spl29_37 ),
inference(resolution,[],[f481,f324]) ).
fof(f531,plain,
spl29_47,
inference(avatar_split_clause,[],[f214,f529]) ).
fof(f529,plain,
( spl29_47
<=> ! [X0] :
( v1_group_1(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_47])]) ).
fof(f214,plain,
! [X0] :
( v1_group_1(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f527,plain,
spl29_46,
inference(avatar_split_clause,[],[f213,f525]) ).
fof(f525,plain,
( spl29_46
<=> ! [X0] :
( ~ v3_struct_0(sK7(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_46])]) ).
fof(f213,plain,
! [X0] :
( ~ v3_struct_0(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f523,plain,
spl29_45,
inference(avatar_split_clause,[],[f207,f521]) ).
fof(f207,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f519,plain,
spl29_44,
inference(avatar_split_clause,[],[f201,f517]) ).
fof(f517,plain,
( spl29_44
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_44])]) ).
fof(f201,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f506,plain,
spl29_43,
inference(avatar_split_clause,[],[f264,f504]) ).
fof(f504,plain,
( spl29_43
<=> ! [X0,X1] : v1_funct_1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_43])]) ).
fof(f264,plain,
! [X0,X1] : v1_funct_1(sK16(X0,X1)),
inference(cnf_transformation,[],[f162]) ).
fof(f502,plain,
spl29_42,
inference(avatar_split_clause,[],[f263,f500]) ).
fof(f500,plain,
( spl29_42
<=> ! [X0,X1] : v1_relat_1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_42])]) ).
fof(f263,plain,
! [X0,X1] : v1_relat_1(sK16(X0,X1)),
inference(cnf_transformation,[],[f162]) ).
fof(f498,plain,
spl29_41,
inference(avatar_split_clause,[],[f261,f496]) ).
fof(f496,plain,
( spl29_41
<=> ! [X0,X1] : v1_funct_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_41])]) ).
fof(f261,plain,
! [X0,X1] : v1_funct_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f160]) ).
fof(f494,plain,
spl29_40,
inference(avatar_split_clause,[],[f260,f492]) ).
fof(f492,plain,
( spl29_40
<=> ! [X0,X1] : v1_relat_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_40])]) ).
fof(f260,plain,
! [X0,X1] : v1_relat_1(sK15(X0,X1)),
inference(cnf_transformation,[],[f160]) ).
fof(f490,plain,
spl29_39,
inference(avatar_split_clause,[],[f236,f488]) ).
fof(f236,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f51,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f51,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f486,plain,
spl29_38,
inference(avatar_split_clause,[],[f206,f484]) ).
fof(f206,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f482,plain,
spl29_37,
inference(avatar_split_clause,[],[f200,f480]) ).
fof(f200,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f478,plain,
spl29_36,
inference(avatar_split_clause,[],[f237,f476]) ).
fof(f237,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f474,plain,
spl29_35,
inference(avatar_split_clause,[],[f300,f471]) ).
fof(f300,plain,
v1_xboole_0(sK28),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( v1_xboole_0(sK28)
& v1_funct_1(sK28)
& v1_relat_1(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f69,f186]) ).
fof(f186,plain,
( ? [X0] :
( v1_xboole_0(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_xboole_0(sK28)
& v1_funct_1(sK28)
& v1_relat_1(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0] :
( v1_xboole_0(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_partfun1) ).
fof(f469,plain,
spl29_34,
inference(avatar_split_clause,[],[f299,f466]) ).
fof(f466,plain,
( spl29_34
<=> v1_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_34])]) ).
fof(f299,plain,
v1_funct_1(sK28),
inference(cnf_transformation,[],[f187]) ).
fof(f464,plain,
spl29_33,
inference(avatar_split_clause,[],[f298,f461]) ).
fof(f461,plain,
( spl29_33
<=> v1_relat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_33])]) ).
fof(f298,plain,
v1_relat_1(sK28),
inference(cnf_transformation,[],[f187]) ).
fof(f459,plain,
spl29_32,
inference(avatar_split_clause,[],[f297,f456]) ).
fof(f456,plain,
( spl29_32
<=> v1_funct_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).
fof(f297,plain,
v1_funct_1(sK27),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( v1_funct_1(sK27)
& v1_relat_1(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f71,f184]) ).
fof(f184,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK27)
& v1_relat_1(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,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(f454,plain,
spl29_31,
inference(avatar_split_clause,[],[f296,f451]) ).
fof(f451,plain,
( spl29_31
<=> v1_relat_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).
fof(f296,plain,
v1_relat_1(sK27),
inference(cnf_transformation,[],[f185]) ).
fof(f449,plain,
spl29_30,
inference(avatar_split_clause,[],[f295,f446]) ).
fof(f446,plain,
( spl29_30
<=> v1_funct_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_30])]) ).
fof(f295,plain,
v1_funct_1(sK26),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( v1_funct_1(sK26)
& v1_relat_1(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f7,f182]) ).
fof(f182,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK26)
& v1_relat_1(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f444,plain,
spl29_29,
inference(avatar_split_clause,[],[f294,f441]) ).
fof(f441,plain,
( spl29_29
<=> v1_relat_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_29])]) ).
fof(f294,plain,
v1_relat_1(sK26),
inference(cnf_transformation,[],[f183]) ).
fof(f439,plain,
spl29_28,
inference(avatar_split_clause,[],[f293,f436]) ).
fof(f436,plain,
( spl29_28
<=> v1_funct_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_28])]) ).
fof(f293,plain,
v1_funct_1(sK25),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( v1_funct_1(sK25)
& v1_xboole_0(sK25)
& v1_relat_1(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f9,f180]) ).
fof(f180,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK25)
& v1_xboole_0(sK25)
& v1_relat_1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f9,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(f434,plain,
spl29_27,
inference(avatar_split_clause,[],[f292,f431]) ).
fof(f292,plain,
v1_xboole_0(sK25),
inference(cnf_transformation,[],[f181]) ).
fof(f429,plain,
spl29_26,
inference(avatar_split_clause,[],[f291,f426]) ).
fof(f291,plain,
v1_relat_1(sK25),
inference(cnf_transformation,[],[f181]) ).
fof(f424,plain,
spl29_25,
inference(avatar_split_clause,[],[f290,f421]) ).
fof(f290,plain,
v1_group_1(sK24),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( v1_group_1(sK24)
& l1_group_1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f59,f178]) ).
fof(f178,plain,
( ? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK24)
& l1_group_1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f59,axiom,
? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_group_1) ).
fof(f419,plain,
spl29_24,
inference(avatar_split_clause,[],[f289,f416]) ).
fof(f289,plain,
l1_group_1(sK24),
inference(cnf_transformation,[],[f179]) ).
fof(f414,plain,
spl29_23,
inference(avatar_split_clause,[],[f288,f411]) ).
fof(f288,plain,
v4_group_1(sK23),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( v4_group_1(sK23)
& v3_group_1(sK23)
& v1_group_1(sK23)
& ~ v3_struct_0(sK23)
& l1_group_1(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f65,f176]) ).
fof(f176,plain,
( ? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v4_group_1(sK23)
& v3_group_1(sK23)
& v1_group_1(sK23)
& ~ v3_struct_0(sK23)
& l1_group_1(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f46,axiom,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_group_1) ).
fof(f409,plain,
spl29_22,
inference(avatar_split_clause,[],[f287,f406]) ).
fof(f287,plain,
v3_group_1(sK23),
inference(cnf_transformation,[],[f177]) ).
fof(f404,plain,
spl29_21,
inference(avatar_split_clause,[],[f286,f401]) ).
fof(f286,plain,
v1_group_1(sK23),
inference(cnf_transformation,[],[f177]) ).
fof(f399,plain,
~ spl29_20,
inference(avatar_split_clause,[],[f285,f396]) ).
fof(f285,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f177]) ).
fof(f394,plain,
spl29_19,
inference(avatar_split_clause,[],[f284,f391]) ).
fof(f284,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f177]) ).
fof(f389,plain,
spl29_18,
inference(avatar_split_clause,[],[f283,f386]) ).
fof(f283,plain,
v1_group_1(sK22),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( v1_group_1(sK22)
& ~ v3_struct_0(sK22)
& l1_group_1(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f60,f174]) ).
fof(f174,plain,
( ? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK22)
& ~ v3_struct_0(sK22)
& l1_group_1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f60,axiom,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_group_1) ).
fof(f384,plain,
~ spl29_17,
inference(avatar_split_clause,[],[f282,f381]) ).
fof(f282,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f175]) ).
fof(f379,plain,
spl29_16,
inference(avatar_split_clause,[],[f281,f376]) ).
fof(f281,plain,
l1_group_1(sK22),
inference(cnf_transformation,[],[f175]) ).
fof(f374,plain,
~ spl29_15,
inference(avatar_split_clause,[],[f280,f371]) ).
fof(f371,plain,
( spl29_15
<=> v3_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_15])]) ).
fof(f280,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ~ v3_struct_0(sK21)
& l1_struct_0(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f47,f172]) ).
fof(f172,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK21)
& l1_struct_0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f369,plain,
spl29_14,
inference(avatar_split_clause,[],[f279,f366]) ).
fof(f366,plain,
( spl29_14
<=> l1_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_14])]) ).
fof(f279,plain,
l1_struct_0(sK21),
inference(cnf_transformation,[],[f173]) ).
fof(f364,plain,
spl29_13,
inference(avatar_split_clause,[],[f278,f361]) ).
fof(f278,plain,
v1_xboole_0(sK20),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
v1_xboole_0(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f32,f170]) ).
fof(f170,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK20) ),
introduced(choice_axiom,[]) ).
fof(f32,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f359,plain,
spl29_12,
inference(avatar_split_clause,[],[f277,f356]) ).
fof(f277,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
l1_group_1(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f49,f168]) ).
fof(f168,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK19) ),
introduced(choice_axiom,[]) ).
fof(f49,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f354,plain,
spl29_11,
inference(avatar_split_clause,[],[f276,f351]) ).
fof(f351,plain,
( spl29_11
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_11])]) ).
fof(f276,plain,
l1_struct_0(sK18),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
l1_struct_0(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f39,f166]) ).
fof(f166,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK18) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f349,plain,
~ spl29_10,
inference(avatar_split_clause,[],[f275,f346]) ).
fof(f346,plain,
( spl29_10
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_10])]) ).
fof(f275,plain,
~ v1_xboole_0(sK17),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
~ v1_xboole_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f33,f164]) ).
fof(f164,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f344,plain,
spl29_9,
inference(avatar_split_clause,[],[f199,f341]) ).
fof(f199,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f339,plain,
( spl29_7
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f195,f336,f332]) ).
fof(f195,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f330,plain,
spl29_6,
inference(avatar_split_clause,[],[f193,f327]) ).
fof(f193,plain,
m1_group_2(sK3,sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f325,plain,
spl29_5,
inference(avatar_split_clause,[],[f192,f322]) ).
fof(f192,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f320,plain,
spl29_4,
inference(avatar_split_clause,[],[f191,f317]) ).
fof(f191,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f315,plain,
spl29_3,
inference(avatar_split_clause,[],[f190,f312]) ).
fof(f190,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f310,plain,
spl29_2,
inference(avatar_split_clause,[],[f189,f307]) ).
fof(f189,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f305,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f188,f302]) ).
fof(f188,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 20:44:38 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.19/0.35 % (31386)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (31392)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)
% 0.19/0.36 % (31389)WARNING: value z3 for option sas not known
% 0.19/0.36 % (31393)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)
% 0.19/0.36 % (31391)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)
% 0.19/0.36 % (31389)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)
% 0.19/0.36 % (31390)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36 % (31388)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37 % (31387)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.38 TRYING [3]
% 0.19/0.38 TRYING [1]
% 0.19/0.38 TRYING [2]
% 0.19/0.39 % (31391)First to succeed.
% 0.19/0.39 TRYING [3]
% 0.19/0.39 TRYING [4]
% 0.19/0.40 % (31391)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31386"
% 0.19/0.40 TRYING [1]
% 0.19/0.40 % (31391)Refutation found. Thanks to Tanya!
% 0.19/0.40 % SZS status Theorem for theBenchmark
% 0.19/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.41 % (31391)------------------------------
% 0.19/0.41 % (31391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.41 % (31391)Termination reason: Refutation
% 0.19/0.41
% 0.19/0.41 % (31391)Memory used [KB]: 1492
% 0.19/0.41 % (31391)Time elapsed: 0.035 s
% 0.19/0.41 % (31391)Instructions burned: 58 (million)
% 0.19/0.41 % (31386)Success in time 0.047 s
%------------------------------------------------------------------------------