TSTP Solution File: GRP642+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP642+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 : n023.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 : Tue Apr 30 12:08:18 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 265
% Syntax : Number of formulae : 890 ( 113 unt; 0 def)
% Number of atoms : 3538 ( 164 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 4650 (2002 ~;2218 |; 165 &)
% ( 210 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 224 ( 222 usr; 206 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 8 con; 0-2 aty)
% Number of variables : 1045 ( 999 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1472,plain,
$false,
inference(avatar_sat_refutation,[],[f220,f225,f230,f235,f240,f245,f250,f255,f260,f265,f270,f275,f280,f285,f289,f293,f297,f301,f305,f309,f313,f319,f323,f327,f332,f336,f340,f348,f352,f356,f360,f364,f368,f372,f377,f381,f385,f389,f393,f397,f405,f409,f413,f417,f430,f435,f444,f448,f452,f456,f471,f476,f480,f484,f488,f492,f504,f511,f515,f520,f524,f528,f532,f536,f547,f551,f559,f564,f568,f574,f581,f588,f592,f599,f605,f613,f619,f626,f631,f638,f642,f646,f650,f654,f672,f676,f684,f688,f694,f698,f702,f706,f710,f714,f721,f728,f738,f748,f752,f756,f767,f772,f779,f786,f791,f795,f800,f805,f809,f817,f821,f827,f834,f840,f846,f850,f858,f863,f867,f871,f891,f894,f899,f903,f907,f911,f915,f918,f928,f932,f936,f940,f944,f948,f952,f953,f961,f966,f981,f988,f992,f1000,f1004,f1013,f1018,f1022,f1026,f1032,f1040,f1044,f1050,f1055,f1064,f1070,f1074,f1079,f1087,f1091,f1099,f1103,f1107,f1111,f1116,f1120,f1124,f1139,f1144,f1155,f1164,f1169,f1173,f1177,f1181,f1186,f1190,f1200,f1220,f1224,f1229,f1233,f1244,f1248,f1252,f1278,f1282,f1286,f1290,f1298,f1302,f1312,f1316,f1329,f1333,f1338,f1347,f1348,f1373,f1382,f1391,f1399,f1401,f1405,f1417,f1425,f1471]) ).
fof(f1471,plain,
( ~ spl17_12
| spl17_169
| ~ spl17_205 ),
inference(avatar_split_clause,[],[f1433,f1422,f1132,f272]) ).
fof(f272,plain,
( spl17_12
<=> v1_xboole_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f1132,plain,
( spl17_169
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_169])]) ).
fof(f1422,plain,
( spl17_205
<=> sK15 = u1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_205])]) ).
fof(f1433,plain,
( ~ v1_xboole_0(sK15)
| spl17_169
| ~ spl17_205 ),
inference(superposition,[],[f1133,f1424]) ).
fof(f1424,plain,
( sK15 = u1_struct_0(sK1)
| ~ spl17_205 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1133,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl17_169 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1425,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| spl17_205
| ~ spl17_6
| ~ spl17_7
| ~ spl17_46
| ~ spl17_197 ),
inference(avatar_split_clause,[],[f1343,f1336,f432,f247,f242,f1422,f237,f232,f227,f222,f217]) ).
fof(f217,plain,
( spl17_1
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f222,plain,
( spl17_2
<=> v3_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f227,plain,
( spl17_3
<=> v4_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f232,plain,
( spl17_4
<=> l1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f237,plain,
( spl17_5
<=> v1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f242,plain,
( spl17_6
<=> m1_group_2(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f247,plain,
( spl17_7
<=> k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f432,plain,
( spl17_46
<=> k1_xboole_0 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f1336,plain,
( spl17_197
<=> ! [X0,X1] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_197])]) ).
fof(f1343,plain,
( sK15 = u1_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_7
| ~ spl17_46
| ~ spl17_197 ),
inference(forward_demodulation,[],[f1342,f434]) ).
fof(f434,plain,
( k1_xboole_0 = sK15
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1342,plain,
( k1_xboole_0 = u1_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_7
| ~ spl17_197 ),
inference(forward_demodulation,[],[f1339,f249]) ).
fof(f249,plain,
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f1339,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_197 ),
inference(resolution,[],[f1337,f244]) ).
fof(f244,plain,
( m1_group_2(sK1,sK0)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f1337,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_197 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1417,plain,
( spl17_204
| ~ spl17_51
| ~ spl17_147 ),
inference(avatar_split_clause,[],[f1027,f1020,f469,f1415]) ).
fof(f1415,plain,
( spl17_204
<=> ! [X0] :
( ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)) = g1_group_1(u1_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))),u1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))))
| ~ l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_204])]) ).
fof(f469,plain,
( spl17_51
<=> ! [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,[spl17_51])]) ).
fof(f1020,plain,
( spl17_147
<=> ! [X0] :
( v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_147])]) ).
fof(f1027,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)) = g1_group_1(u1_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))),u1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))))
| ~ l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))) )
| ~ spl17_51
| ~ spl17_147 ),
inference(resolution,[],[f1021,f470]) ).
fof(f470,plain,
( ! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ l1_group_1(X0) )
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f1021,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_147 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1405,plain,
( spl17_203
| ~ spl17_34
| ~ spl17_167 ),
inference(avatar_split_clause,[],[f1126,f1122,f370,f1403]) ).
fof(f1403,plain,
( spl17_203
<=> ! [X0] :
( k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_203])]) ).
fof(f370,plain,
( spl17_34
<=> ! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
fof(f1122,plain,
( spl17_167
<=> ! [X0] :
( m1_group_2(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_167])]) ).
fof(f1126,plain,
( ! [X0] :
( k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_34
| ~ spl17_167 ),
inference(resolution,[],[f1123,f371]) ).
fof(f371,plain,
( ! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1)
| ~ spl17_34 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f1123,plain,
( ! [X0] :
( ~ v1_funct_2(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_167 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1401,plain,
( spl17_169
| ~ spl17_42
| ~ spl17_168 ),
inference(avatar_split_clause,[],[f1367,f1128,f407,f1132]) ).
fof(f407,plain,
( spl17_42
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
fof(f1128,plain,
( spl17_168
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_168])]) ).
fof(f1367,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_42
| ~ spl17_168 ),
inference(duplicate_literal_removal,[],[f1361]) ).
fof(f1361,plain,
( v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_42
| ~ spl17_168 ),
inference(resolution,[],[f1130,f408]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f1130,plain,
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ spl17_168 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1399,plain,
( spl17_202
| ~ spl17_34
| ~ spl17_164 ),
inference(avatar_split_clause,[],[f1112,f1109,f370,f1397]) ).
fof(f1397,plain,
( spl17_202
<=> ! [X0] :
( k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_202])]) ).
fof(f1109,plain,
( spl17_164
<=> ! [X0] :
( v1_group_1(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_164])]) ).
fof(f1112,plain,
( ! [X0] :
( k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_34
| ~ spl17_164 ),
inference(resolution,[],[f1110,f371]) ).
fof(f1110,plain,
( ! [X0] :
( ~ v1_funct_2(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_164 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1391,plain,
( spl17_201
| ~ spl17_51
| ~ spl17_141 ),
inference(avatar_split_clause,[],[f993,f986,f469,f1389]) ).
fof(f1389,plain,
( spl17_201
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = g1_group_1(u1_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0))),u1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))))
| ~ l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_201])]) ).
fof(f986,plain,
( spl17_141
<=> ! [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,[spl17_141])]) ).
fof(f993,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = g1_group_1(u1_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0))),u1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))))
| ~ l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) )
| ~ spl17_51
| ~ spl17_141 ),
inference(resolution,[],[f987,f470]) ).
fof(f987,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_141 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f1382,plain,
( spl17_200
| ~ spl17_41
| ~ spl17_157 ),
inference(avatar_split_clause,[],[f1075,f1072,f403,f1380]) ).
fof(f1380,plain,
( spl17_200
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))))
| r2_hidden(X0,k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_200])]) ).
fof(f403,plain,
( spl17_41
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
fof(f1072,plain,
( spl17_157
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k1_latsubgr(X1))
| m1_subset_1(X0,k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_157])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))))
| r2_hidden(X0,k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))) )
| ~ spl17_41
| ~ spl17_157 ),
inference(resolution,[],[f1073,f404]) ).
fof(f404,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl17_41 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f1073,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))))
| ~ r2_hidden(X0,k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_157 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1373,plain,
( spl17_199
| ~ spl17_41
| ~ spl17_153 ),
inference(avatar_split_clause,[],[f1051,f1048,f403,f1371]) ).
fof(f1371,plain,
( spl17_199
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_199])]) ).
fof(f1048,plain,
( spl17_153
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_153])]) ).
fof(f1051,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) )
| ~ spl17_41
| ~ spl17_153 ),
inference(resolution,[],[f1049,f404]) ).
fof(f1049,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1) )
| ~ spl17_153 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1348,plain,
( spl17_170
| ~ spl17_81
| ~ spl17_150 ),
inference(avatar_split_clause,[],[f1317,f1034,f636,f1136]) ).
fof(f1136,plain,
( spl17_170
<=> v1_xboole_0(u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_170])]) ).
fof(f636,plain,
( spl17_81
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).
fof(f1034,plain,
( spl17_150
<=> ! [X0] : ~ r2_hidden(X0,u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_150])]) ).
fof(f1317,plain,
( v1_xboole_0(u1_group_1(sK1))
| ~ spl17_81
| ~ spl17_150 ),
inference(resolution,[],[f1035,f637]) ).
fof(f637,plain,
( ! [X0] :
( r2_hidden(sK6(X0),X0)
| v1_xboole_0(X0) )
| ~ spl17_81 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f1035,plain,
( ! [X0] : ~ r2_hidden(X0,u1_group_1(sK1))
| ~ spl17_150 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1347,plain,
( spl17_198
| ~ spl17_104
| ~ spl17_152 ),
inference(avatar_split_clause,[],[f1046,f1042,f777,f1345]) ).
fof(f1345,plain,
( spl17_198
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_198])]) ).
fof(f777,plain,
( spl17_104
<=> ! [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,[spl17_104])]) ).
fof(f1042,plain,
( spl17_152
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_152])]) ).
fof(f1046,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) )
| ~ spl17_104
| ~ spl17_152 ),
inference(resolution,[],[f1043,f778]) ).
fof(f778,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl17_104 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f1043,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl17_152 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1338,plain,
( spl17_197
| ~ spl17_53
| ~ spl17_160 ),
inference(avatar_split_clause,[],[f1095,f1089,f478,f1336]) ).
fof(f478,plain,
( spl17_53
<=> ! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).
fof(f1089,plain,
( spl17_160
<=> ! [X0,X1] :
( ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_160])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_53
| ~ spl17_160 ),
inference(duplicate_literal_removal,[],[f1094]) ).
fof(f1094,plain,
( ! [X0,X1] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_53
| ~ spl17_160 ),
inference(resolution,[],[f1090,f479]) ).
fof(f479,plain,
( ! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_53 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ v1_funct_1(k1_latsubgr(X1))
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_160 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1333,plain,
( spl17_196
| ~ spl17_104
| ~ spl17_133 ),
inference(avatar_split_clause,[],[f975,f934,f777,f1331]) ).
fof(f1331,plain,
( spl17_196
<=> ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_196])]) ).
fof(f934,plain,
( spl17_133
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_133])]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl17_104
| ~ spl17_133 ),
inference(resolution,[],[f935,f778]) ).
fof(f935,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl17_133 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1329,plain,
( spl17_195
| ~ spl17_15
| ~ spl17_158 ),
inference(avatar_split_clause,[],[f1080,f1077,f287,f1327]) ).
fof(f1327,plain,
( spl17_195
<=> ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_195])]) ).
fof(f287,plain,
( spl17_15
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f1077,plain,
( spl17_158
<=> ! [X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_xboole_0(k1_latsubgr(X0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_158])]) ).
fof(f1080,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_15
| ~ spl17_158 ),
inference(resolution,[],[f1078,f288]) ).
fof(f288,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f1078,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_158 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1316,plain,
( spl17_194
| ~ spl17_41
| ~ spl17_145 ),
inference(avatar_split_clause,[],[f1014,f1011,f403,f1314]) ).
fof(f1314,plain,
( spl17_194
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK5(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK6(sK5(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_194])]) ).
fof(f1011,plain,
( spl17_145
<=> ! [X0] :
( m1_subset_1(sK6(sK5(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_145])]) ).
fof(f1014,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK5(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK6(sK5(X0)),u1_struct_0(X0)) )
| ~ spl17_41
| ~ spl17_145 ),
inference(resolution,[],[f1012,f404]) ).
fof(f1012,plain,
( ! [X0] :
( m1_subset_1(sK6(sK5(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl17_145 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1312,plain,
( spl17_193
| ~ spl17_50
| ~ spl17_132 ),
inference(avatar_split_clause,[],[f971,f930,f454,f1310]) ).
fof(f1310,plain,
( spl17_193
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK2(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK2(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_193])]) ).
fof(f454,plain,
( spl17_50
<=> ! [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,[spl17_50])]) ).
fof(f930,plain,
( spl17_132
<=> ! [X0] :
( m1_subset_1(sK6(sK2(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_132])]) ).
fof(f971,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK2(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK2(k1_zfmisc_1(X0)))) )
| ~ spl17_50
| ~ spl17_132 ),
inference(resolution,[],[f931,f455]) ).
fof(f455,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl17_50 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f931,plain,
( ! [X0] :
( m1_subset_1(sK6(sK2(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK2(X0)) )
| ~ spl17_132 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f1302,plain,
( spl17_192
| ~ spl17_45
| ~ spl17_132 ),
inference(avatar_split_clause,[],[f972,f930,f428,f1300]) ).
fof(f1300,plain,
( spl17_192
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK2(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK2(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_192])]) ).
fof(f428,plain,
( spl17_45
<=> ! [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,[spl17_45])]) ).
fof(f972,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK2(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK2(k1_zfmisc_1(X0)))) )
| ~ spl17_45
| ~ spl17_132 ),
inference(resolution,[],[f931,f429]) ).
fof(f429,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f1298,plain,
( spl17_191
| ~ spl17_50
| ~ spl17_131 ),
inference(avatar_split_clause,[],[f968,f926,f454,f1296]) ).
fof(f1296,plain,
( spl17_191
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_191])]) ).
fof(f926,plain,
( spl17_131
<=> ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_131])]) ).
fof(f968,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl17_50
| ~ spl17_131 ),
inference(resolution,[],[f927,f455]) ).
fof(f927,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl17_131 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1290,plain,
( spl17_190
| ~ spl17_18
| ~ spl17_148 ),
inference(avatar_split_clause,[],[f1028,f1024,f299,f1288]) ).
fof(f1288,plain,
( spl17_190
<=> ! [X0] :
( ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| l1_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_190])]) ).
fof(f299,plain,
( spl17_18
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f1024,plain,
( spl17_148
<=> ! [X0] :
( l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_148])]) ).
fof(f1028,plain,
( ! [X0] :
( ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0))
| l1_struct_0(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0))) )
| ~ spl17_18
| ~ spl17_148 ),
inference(resolution,[],[f1025,f300]) ).
fof(f300,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f1025,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_148 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1286,plain,
( spl17_151
| spl17_189
| ~ spl17_41
| ~ spl17_162 ),
inference(avatar_split_clause,[],[f1125,f1101,f403,f1284,f1037]) ).
fof(f1037,plain,
( spl17_151
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_151])]) ).
fof(f1284,plain,
( spl17_189
<=> ! [X0] :
( ~ r2_hidden(X0,u1_group_1(sK1))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_189])]) ).
fof(f1101,plain,
( spl17_162
<=> ! [X0] :
( ~ r2_hidden(X0,u1_group_1(sK1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_162])]) ).
fof(f1125,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_group_1(sK1))
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))) )
| ~ spl17_41
| ~ spl17_162 ),
inference(resolution,[],[f1102,f404]) ).
fof(f1102,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)))
| ~ r2_hidden(X0,u1_group_1(sK1)) )
| ~ spl17_162 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1282,plain,
( spl17_188
| ~ spl17_96
| ~ spl17_133 ),
inference(avatar_split_clause,[],[f974,f934,f719,f1280]) ).
fof(f1280,plain,
( spl17_188
<=> ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_188])]) ).
fof(f719,plain,
( spl17_96
<=> ! [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,[spl17_96])]) ).
fof(f974,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) )
| ~ spl17_96
| ~ spl17_133 ),
inference(resolution,[],[f935,f720]) ).
fof(f720,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl17_96 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1278,plain,
( spl17_187
| ~ spl17_45
| ~ spl17_131 ),
inference(avatar_split_clause,[],[f969,f926,f428,f1276]) ).
fof(f1276,plain,
( spl17_187
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_187])]) ).
fof(f969,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl17_45
| ~ spl17_131 ),
inference(resolution,[],[f927,f429]) ).
fof(f1252,plain,
( spl17_186
| ~ spl17_81
| ~ spl17_139 ),
inference(avatar_split_clause,[],[f984,f964,f636,f1250]) ).
fof(f1250,plain,
( spl17_186
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_186])]) ).
fof(f964,plain,
( spl17_139
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_139])]) ).
fof(f984,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) )
| ~ spl17_81
| ~ spl17_139 ),
inference(resolution,[],[f965,f637]) ).
fof(f965,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_139 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f1248,plain,
( spl17_185
| ~ spl17_81
| ~ spl17_137 ),
inference(avatar_split_clause,[],[f983,f950,f636,f1246]) ).
fof(f1246,plain,
( spl17_185
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_185])]) ).
fof(f950,plain,
( spl17_137
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_137])]) ).
fof(f983,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl17_81
| ~ spl17_137 ),
inference(resolution,[],[f951,f637]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_137 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1244,plain,
( spl17_184
| ~ spl17_81
| ~ spl17_136 ),
inference(avatar_split_clause,[],[f982,f946,f636,f1242]) ).
fof(f1242,plain,
( spl17_184
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_184])]) ).
fof(f946,plain,
( spl17_136
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_136])]) ).
fof(f982,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl17_81
| ~ spl17_136 ),
inference(resolution,[],[f947,f637]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_136 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1233,plain,
( spl17_183
| ~ spl17_81
| ~ spl17_135 ),
inference(avatar_split_clause,[],[f976,f942,f636,f1231]) ).
fof(f1231,plain,
( spl17_183
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_183])]) ).
fof(f942,plain,
( spl17_135
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_135])]) ).
fof(f976,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) )
| ~ spl17_81
| ~ spl17_135 ),
inference(resolution,[],[f943,f637]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_135 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1229,plain,
( spl17_182
| ~ spl17_41
| ~ spl17_131 ),
inference(avatar_split_clause,[],[f967,f926,f403,f1227]) ).
fof(f1227,plain,
( spl17_182
<=> ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_182])]) ).
fof(f967,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) )
| ~ spl17_41
| ~ spl17_131 ),
inference(resolution,[],[f927,f404]) ).
fof(f1224,plain,
( spl17_181
| ~ spl17_42
| ~ spl17_154 ),
inference(avatar_split_clause,[],[f1060,f1053,f407,f1222]) ).
fof(f1222,plain,
( spl17_181
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_181])]) ).
fof(f1053,plain,
( spl17_154
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_154])]) ).
fof(f1060,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_42
| ~ spl17_154 ),
inference(duplicate_literal_removal,[],[f1056]) ).
fof(f1056,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl17_42
| ~ spl17_154 ),
inference(resolution,[],[f1054,f408]) ).
fof(f1054,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_154 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1220,plain,
( spl17_180
| ~ spl17_18
| ~ spl17_142 ),
inference(avatar_split_clause,[],[f995,f990,f299,f1218]) ).
fof(f1218,plain,
( spl17_180
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| l1_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_180])]) ).
fof(f990,plain,
( spl17_142
<=> ! [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,[spl17_142])]) ).
fof(f995,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| l1_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) )
| ~ spl17_18
| ~ spl17_142 ),
inference(resolution,[],[f991,f300]) ).
fof(f991,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_142 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1200,plain,
( spl17_179
| ~ spl17_41
| ~ spl17_132 ),
inference(avatar_split_clause,[],[f973,f930,f403,f1198]) ).
fof(f1198,plain,
( spl17_179
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK2(X0))
| r2_hidden(sK6(sK2(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_179])]) ).
fof(f973,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK2(X0))
| r2_hidden(sK6(sK2(X0)),X0) )
| ~ spl17_41
| ~ spl17_132 ),
inference(duplicate_literal_removal,[],[f970]) ).
fof(f970,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK2(X0))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK2(X0)),X0) )
| ~ spl17_41
| ~ spl17_132 ),
inference(resolution,[],[f931,f404]) ).
fof(f1190,plain,
( spl17_178
| ~ spl17_40
| ~ spl17_121 ),
inference(avatar_split_clause,[],[f873,f869,f395,f1188]) ).
fof(f1188,plain,
( spl17_178
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_178])]) ).
fof(f395,plain,
( spl17_40
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).
fof(f869,plain,
( spl17_121
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_121])]) ).
fof(f873,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl17_40
| ~ spl17_121 ),
inference(resolution,[],[f870,f396]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl17_40 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f870,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl17_121 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f1186,plain,
( spl17_177
| ~ spl17_8
| ~ spl17_46
| ~ spl17_172 ),
inference(avatar_split_clause,[],[f1161,f1153,f432,f252,f1183]) ).
fof(f1183,plain,
( spl17_177
<=> sK15 = sK6(k1_zfmisc_1(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_177])]) ).
fof(f252,plain,
( spl17_8
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f1153,plain,
( spl17_172
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK15 = sK6(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_172])]) ).
fof(f1161,plain,
( sK15 = sK6(k1_zfmisc_1(sK15))
| ~ spl17_8
| ~ spl17_46
| ~ spl17_172 ),
inference(forward_demodulation,[],[f1156,f434]) ).
fof(f1156,plain,
( sK15 = sK6(k1_zfmisc_1(k1_xboole_0))
| ~ spl17_8
| ~ spl17_172 ),
inference(resolution,[],[f1154,f254]) ).
fof(f254,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f1154,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK15 = sK6(k1_zfmisc_1(X0)) )
| ~ spl17_172 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1181,plain,
( spl17_176
| ~ spl17_81
| ~ spl17_130 ),
inference(avatar_split_clause,[],[f924,f913,f636,f1179]) ).
fof(f1179,plain,
( spl17_176
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_176])]) ).
fof(f913,plain,
( spl17_130
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_130])]) ).
fof(f924,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) )
| ~ spl17_81
| ~ spl17_130 ),
inference(resolution,[],[f914,f637]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK11(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl17_130 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f1177,plain,
( spl17_175
| ~ spl17_81
| ~ spl17_129 ),
inference(avatar_split_clause,[],[f923,f909,f636,f1175]) ).
fof(f1175,plain,
( spl17_175
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_175])]) ).
fof(f909,plain,
( spl17_129
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_129])]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl17_81
| ~ spl17_129 ),
inference(resolution,[],[f910,f637]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK10(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl17_129 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1173,plain,
( spl17_174
| ~ spl17_81
| ~ spl17_128 ),
inference(avatar_split_clause,[],[f917,f905,f636,f1171]) ).
fof(f1171,plain,
( spl17_174
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_174])]) ).
fof(f905,plain,
( spl17_128
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_128])]) ).
fof(f917,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl17_81
| ~ spl17_128 ),
inference(resolution,[],[f906,f637]) ).
fof(f906,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl17_128 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f1169,plain,
( spl17_173
| ~ spl17_81
| ~ spl17_127 ),
inference(avatar_split_clause,[],[f916,f901,f636,f1167]) ).
fof(f1167,plain,
( spl17_173
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_173])]) ).
fof(f901,plain,
( spl17_127
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).
fof(f916,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) )
| ~ spl17_81
| ~ spl17_127 ),
inference(resolution,[],[f902,f637]) ).
fof(f902,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK8(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl17_127 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1164,plain,
( spl17_57
| ~ spl17_80
| ~ spl17_37
| ~ spl17_169 ),
inference(avatar_split_clause,[],[f1145,f1132,f383,f628,f501]) ).
fof(f501,plain,
( spl17_57
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).
fof(f628,plain,
( spl17_80
<=> l1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).
fof(f383,plain,
( spl17_37
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).
fof(f1145,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl17_37
| ~ spl17_169 ),
inference(resolution,[],[f1134,f384]) ).
fof(f384,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl17_37 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1134,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_169 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1155,plain,
( spl17_172
| ~ spl17_77
| ~ spl17_121 ),
inference(avatar_split_clause,[],[f872,f869,f617,f1153]) ).
fof(f617,plain,
( spl17_77
<=> ! [X0] :
( sK15 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).
fof(f872,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK15 = sK6(k1_zfmisc_1(X0)) )
| ~ spl17_77
| ~ spl17_121 ),
inference(resolution,[],[f870,f618]) ).
fof(f618,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK15 = X0 )
| ~ spl17_77 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f1144,plain,
( spl17_169
| ~ spl17_124
| ~ spl17_122
| spl17_171
| ~ spl17_63
| ~ spl17_123 ),
inference(avatar_split_clause,[],[f922,f881,f530,f1141,f877,f885,f1132]) ).
fof(f885,plain,
( spl17_124
<=> m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_124])]) ).
fof(f877,plain,
( spl17_122
<=> v1_funct_1(u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).
fof(f1141,plain,
( spl17_171
<=> v1_partfun1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_171])]) ).
fof(f530,plain,
( spl17_63
<=> ! [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,[spl17_63])]) ).
fof(f881,plain,
( spl17_123
<=> v1_funct_2(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_123])]) ).
fof(f922,plain,
( v1_partfun1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_group_1(sK1))
| ~ m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_63
| ~ spl17_123 ),
inference(resolution,[],[f882,f531]) ).
fof(f531,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) )
| ~ spl17_63 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f882,plain,
( v1_funct_2(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl17_123 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f1139,plain,
( spl17_168
| spl17_169
| ~ spl17_124
| ~ spl17_122
| ~ spl17_170
| ~ spl17_64
| ~ spl17_123 ),
inference(avatar_split_clause,[],[f921,f881,f534,f1136,f877,f885,f1132,f1128]) ).
fof(f534,plain,
( spl17_64
<=> ! [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,[spl17_64])]) ).
fof(f921,plain,
( ~ v1_xboole_0(u1_group_1(sK1))
| ~ v1_funct_1(u1_group_1(sK1))
| ~ m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ spl17_64
| ~ spl17_123 ),
inference(resolution,[],[f882,f535]) ).
fof(f535,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) )
| ~ spl17_64 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f1124,plain,
( spl17_167
| ~ spl17_71
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f667,f652,f579,f1122]) ).
fof(f579,plain,
( spl17_71
<=> ! [X0,X1] :
( k1_latsubgr(X0) = X1
| m1_group_2(sK3(X0,X1),X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).
fof(f652,plain,
( spl17_85
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
fof(f667,plain,
( ! [X0] :
( m1_group_2(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_71
| ~ spl17_85 ),
inference(resolution,[],[f653,f580]) ).
fof(f580,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(sK3(X0,X1),X0)
| k1_latsubgr(X0) = X1
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_71 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f653,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl17_85 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f1120,plain,
( spl17_166
| ~ spl17_71
| ~ spl17_84 ),
inference(avatar_split_clause,[],[f664,f648,f579,f1118]) ).
fof(f1118,plain,
( spl17_166
<=> ! [X0] :
( m1_group_2(sK3(X0,sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_166])]) ).
fof(f648,plain,
( spl17_84
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
fof(f664,plain,
( ! [X0] :
( m1_group_2(sK3(X0,sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_71
| ~ spl17_84 ),
inference(resolution,[],[f649,f580]) ).
fof(f649,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl17_84 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1116,plain,
( spl17_165
| ~ spl17_71
| ~ spl17_83 ),
inference(avatar_split_clause,[],[f661,f644,f579,f1114]) ).
fof(f1114,plain,
( spl17_165
<=> ! [X0] :
( m1_group_2(sK3(X0,sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_165])]) ).
fof(f644,plain,
( spl17_83
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
fof(f661,plain,
( ! [X0] :
( m1_group_2(sK3(X0,sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_71
| ~ spl17_83 ),
inference(resolution,[],[f645,f580]) ).
fof(f645,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl17_83 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1111,plain,
( spl17_164
| ~ spl17_70
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f668,f652,f572,f1109]) ).
fof(f572,plain,
( spl17_70
<=> ! [X0,X1] :
( k1_latsubgr(X0) = X1
| v1_group_1(sK3(X0,X1))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
fof(f668,plain,
( ! [X0] :
( v1_group_1(sK3(X0,sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK11(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_70
| ~ spl17_85 ),
inference(resolution,[],[f653,f573]) ).
fof(f573,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(sK3(X0,X1))
| k1_latsubgr(X0) = X1
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_70 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1107,plain,
( spl17_163
| ~ spl17_70
| ~ spl17_84 ),
inference(avatar_split_clause,[],[f665,f648,f572,f1105]) ).
fof(f1105,plain,
( spl17_163
<=> ! [X0] :
( v1_group_1(sK3(X0,sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_163])]) ).
fof(f665,plain,
( ! [X0] :
( v1_group_1(sK3(X0,sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK10(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_70
| ~ spl17_84 ),
inference(resolution,[],[f649,f573]) ).
fof(f1103,plain,
( spl17_162
| ~ spl17_99
| ~ spl17_140 ),
inference(avatar_split_clause,[],[f1007,f978,f746,f1101]) ).
fof(f746,plain,
( spl17_99
<=> ! [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,[spl17_99])]) ).
fof(f978,plain,
( spl17_140
<=> m2_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_140])]) ).
fof(f1007,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_group_1(sK1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))) )
| ~ spl17_99
| ~ spl17_140 ),
inference(resolution,[],[f980,f747]) ).
fof(f747,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_99 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f980,plain,
( m2_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl17_140 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1099,plain,
( spl17_161
| ~ spl17_70
| ~ spl17_83 ),
inference(avatar_split_clause,[],[f662,f644,f572,f1097]) ).
fof(f1097,plain,
( spl17_161
<=> ! [X0] :
( v1_group_1(sK3(X0,sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_161])]) ).
fof(f662,plain,
( ! [X0] :
( v1_group_1(sK3(X0,sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK9(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_70
| ~ spl17_83 ),
inference(resolution,[],[f645,f573]) ).
fof(f1091,plain,
( spl17_160
| ~ spl17_61
| ~ spl17_117 ),
inference(avatar_split_clause,[],[f854,f848,f522,f1089]) ).
fof(f522,plain,
( spl17_61
<=> ! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).
fof(f848,plain,
( spl17_117
<=> ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).
fof(f854,plain,
( ! [X0,X1] :
( ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_61
| ~ spl17_117 ),
inference(duplicate_literal_removal,[],[f853]) ).
fof(f853,plain,
( ! [X0,X1] :
( ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_61
| ~ spl17_117 ),
inference(resolution,[],[f849,f523]) ).
fof(f523,plain,
( ! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_61 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ m1_group_2(X0,X1)
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_117 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f1087,plain,
( spl17_159
| ~ spl17_105
| ~ spl17_116 ),
inference(avatar_split_clause,[],[f852,f844,f784,f1085]) ).
fof(f1085,plain,
( spl17_159
<=> ! [X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_159])]) ).
fof(f784,plain,
( spl17_105
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).
fof(f844,plain,
( spl17_116
<=> ! [X0] :
( v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).
fof(f852,plain,
( ! [X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_105
| ~ spl17_116 ),
inference(duplicate_literal_removal,[],[f851]) ).
fof(f851,plain,
( ! [X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl17_105
| ~ spl17_116 ),
inference(resolution,[],[f845,f785]) ).
fof(f785,plain,
( ! [X0] :
( m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl17_105 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f845,plain,
( ! [X0] :
( ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_116 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f1079,plain,
( spl17_158
| ~ spl17_105
| ~ spl17_115 ),
inference(avatar_split_clause,[],[f842,f838,f784,f1077]) ).
fof(f838,plain,
( spl17_115
<=> ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).
fof(f842,plain,
( ! [X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_xboole_0(k1_latsubgr(X0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_105
| ~ spl17_115 ),
inference(duplicate_literal_removal,[],[f841]) ).
fof(f841,plain,
( ! [X0] :
( ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_xboole_0(k1_latsubgr(X0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) )
| ~ spl17_105
| ~ spl17_115 ),
inference(resolution,[],[f839,f785]) ).
fof(f839,plain,
( ! [X0] :
( ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_xboole_0(k1_latsubgr(X0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_115 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1074,plain,
( spl17_157
| ~ spl17_62
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f757,f746,f526,f1072]) ).
fof(f526,plain,
( spl17_62
<=> ! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
fof(f757,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k1_latsubgr(X1))
| m1_subset_1(X0,k2_zfmisc_1(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_62
| ~ spl17_99 ),
inference(resolution,[],[f747,f527]) ).
fof(f527,plain,
( ! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_62 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1070,plain,
( spl17_156
| ~ spl17_62
| ~ spl17_98 ),
inference(avatar_split_clause,[],[f739,f736,f526,f1068]) ).
fof(f1068,plain,
( spl17_156
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ r2_hidden(X1,k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_156])]) ).
fof(f736,plain,
( spl17_98
<=> ! [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,[spl17_98])]) ).
fof(f739,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ r2_hidden(X1,k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_62
| ~ spl17_98 ),
inference(resolution,[],[f737,f527]) ).
fof(f737,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl17_98 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1064,plain,
( spl17_155
| ~ spl17_101
| ~ spl17_114 ),
inference(avatar_split_clause,[],[f836,f832,f754,f1062]) ).
fof(f1062,plain,
( spl17_155
<=> ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_155])]) ).
fof(f754,plain,
( spl17_101
<=> ! [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,[spl17_101])]) ).
fof(f832,plain,
( spl17_114
<=> ! [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,[spl17_114])]) ).
fof(f836,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_114 ),
inference(duplicate_literal_removal,[],[f835]) ).
fof(f835,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_114 ),
inference(resolution,[],[f833,f755]) ).
fof(f755,plain,
( ! [X0] :
( m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl17_101 ),
inference(avatar_component_clause,[],[f754]) ).
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))
| ~ v1_funct_1(u1_group_1(X0))
| v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl17_114 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f1055,plain,
( spl17_154
| ~ spl17_101
| ~ spl17_113 ),
inference(avatar_split_clause,[],[f830,f825,f754,f1053]) ).
fof(f825,plain,
( spl17_113
<=> ! [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,[spl17_113])]) ).
fof(f830,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_113 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f829,plain,
( ! [X0] :
( ~ v1_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_113 ),
inference(resolution,[],[f826,f755]) ).
fof(f826,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_funct_1(u1_group_1(X0))
| ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl17_113 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f1050,plain,
( spl17_153
| ~ spl17_59
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f758,f746,f513,f1048]) ).
fof(f513,plain,
( spl17_59
<=> ! [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,[spl17_59])]) ).
fof(f758,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_group_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_group_1(X1) )
| ~ spl17_59
| ~ spl17_99 ),
inference(resolution,[],[f747,f514]) ).
fof(f514,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) )
| ~ spl17_59 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f1044,plain,
( spl17_152
| ~ spl17_28
| ~ spl17_104 ),
inference(avatar_split_clause,[],[f781,f777,f346,f1042]) ).
fof(f346,plain,
( spl17_28
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f781,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl17_28
| ~ spl17_104 ),
inference(resolution,[],[f778,f347]) ).
fof(f347,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f1040,plain,
( spl17_150
| ~ spl17_151
| ~ spl17_98
| ~ spl17_140 ),
inference(avatar_split_clause,[],[f1008,f978,f736,f1037,f1034]) ).
fof(f1008,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)))
| ~ r2_hidden(X0,u1_group_1(sK1)) )
| ~ spl17_98
| ~ spl17_140 ),
inference(resolution,[],[f980,f737]) ).
fof(f1032,plain,
( spl17_149
| ~ spl17_59
| ~ spl17_98 ),
inference(avatar_split_clause,[],[f740,f736,f513,f1030]) ).
fof(f1030,plain,
( spl17_149
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_149])]) ).
fof(f740,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_59
| ~ spl17_98 ),
inference(resolution,[],[f737,f514]) ).
fof(f1026,plain,
( spl17_148
| ~ spl17_33
| ~ spl17_112 ),
inference(avatar_split_clause,[],[f823,f819,f366,f1024]) ).
fof(f366,plain,
( spl17_33
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f819,plain,
( spl17_112
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).
fof(f823,plain,
( ! [X0] :
( l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_33
| ~ spl17_112 ),
inference(resolution,[],[f820,f367]) ).
fof(f367,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f820,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_112 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1022,plain,
( spl17_147
| ~ spl17_33
| ~ spl17_111 ),
inference(avatar_split_clause,[],[f822,f815,f366,f1020]) ).
fof(f815,plain,
( spl17_111
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_111])]) ).
fof(f822,plain,
( ! [X0] :
( v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_33
| ~ spl17_111 ),
inference(resolution,[],[f816,f367]) ).
fof(f816,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_111 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1018,plain,
( spl17_146
| ~ spl17_28
| ~ spl17_103 ),
inference(avatar_split_clause,[],[f774,f770,f346,f1016]) ).
fof(f1016,plain,
( spl17_146
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_146])]) ).
fof(f770,plain,
( spl17_103
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).
fof(f774,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK5(X0)) )
| ~ spl17_28
| ~ spl17_103 ),
inference(resolution,[],[f771,f347]) ).
fof(f771,plain,
( ! [X0] :
( r2_hidden(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl17_103 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1013,plain,
( spl17_145
| ~ spl17_81
| ~ spl17_100 ),
inference(avatar_split_clause,[],[f763,f750,f636,f1011]) ).
fof(f750,plain,
( spl17_100
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK5(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_100])]) ).
fof(f763,plain,
( ! [X0] :
( m1_subset_1(sK6(sK5(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl17_81
| ~ spl17_100 ),
inference(resolution,[],[f751,f637]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl17_100 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1004,plain,
( spl17_144
| ~ spl17_33
| ~ spl17_107 ),
inference(avatar_split_clause,[],[f801,f793,f366,f1002]) ).
fof(f1002,plain,
( spl17_144
<=> ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_144])]) ).
fof(f793,plain,
( spl17_107
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_107])]) ).
fof(f801,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl17_33
| ~ spl17_107 ),
inference(resolution,[],[f794,f367]) ).
fof(f794,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl17_107 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f1000,plain,
( spl17_143
| ~ spl17_33
| ~ spl17_106 ),
inference(avatar_split_clause,[],[f796,f789,f366,f998]) ).
fof(f998,plain,
( spl17_143
<=> ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| v1_partfun1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_143])]) ).
fof(f789,plain,
( spl17_106
<=> ! [X0,X1] :
( v1_partfun1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK11(X0,X1))
| v1_partfun1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl17_33
| ~ spl17_106 ),
inference(resolution,[],[f790,f367]) ).
fof(f790,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| v1_partfun1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl17_106 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f992,plain,
( spl17_142
| ~ spl17_101
| ~ spl17_110 ),
inference(avatar_split_clause,[],[f813,f807,f754,f990]) ).
fof(f807,plain,
( spl17_110
<=> ! [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,[spl17_110])]) ).
fof(f813,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_110 ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f812,plain,
( ! [X0] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_110 ),
inference(resolution,[],[f808,f755]) ).
fof(f808,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) )
| ~ spl17_110 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f988,plain,
( spl17_141
| ~ spl17_101
| ~ spl17_109 ),
inference(avatar_split_clause,[],[f811,f803,f754,f986]) ).
fof(f803,plain,
( spl17_109
<=> ! [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,[spl17_109])]) ).
fof(f811,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_109 ),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f810,plain,
( ! [X0] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl17_101
| ~ spl17_109 ),
inference(resolution,[],[f804,f755]) ).
fof(f804,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) )
| ~ spl17_109 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f981,plain,
( spl17_140
| ~ spl17_44
| ~ spl17_124 ),
inference(avatar_split_clause,[],[f957,f885,f415,f978]) ).
fof(f415,plain,
( spl17_44
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f957,plain,
( m2_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl17_44
| ~ spl17_124 ),
inference(resolution,[],[f886,f416]) ).
fof(f416,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f886,plain,
( m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl17_124 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f966,plain,
( spl17_139
| ~ spl17_85
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f762,f746,f652,f964]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_85
| ~ spl17_99 ),
inference(resolution,[],[f747,f653]) ).
fof(f961,plain,
( ~ spl17_122
| ~ spl17_123
| ~ spl17_124
| spl17_138
| ~ spl17_67
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f609,f602,f557,f959,f885,f881,f877]) ).
fof(f959,plain,
( spl17_138
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_struct_0(sK1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_138])]) ).
fof(f557,plain,
( spl17_67
<=> ! [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,[spl17_67])]) ).
fof(f602,plain,
( spl17_75
<=> sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_75])]) ).
fof(f609,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_group_1(sK1)) )
| ~ spl17_67
| ~ spl17_75 ),
inference(superposition,[],[f558,f604]) ).
fof(f604,plain,
( sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1))
| ~ spl17_75 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl17_67 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f953,plain,
( ~ spl17_74
| ~ spl17_101
| spl17_124 ),
inference(avatar_split_clause,[],[f895,f885,f754,f596]) ).
fof(f596,plain,
( spl17_74
<=> l1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_74])]) ).
fof(f895,plain,
( ~ l1_group_1(sK1)
| ~ spl17_101
| spl17_124 ),
inference(resolution,[],[f887,f755]) ).
fof(f887,plain,
( ~ m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl17_124 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f952,plain,
( spl17_137
| ~ spl17_84
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f761,f746,f648,f950]) ).
fof(f761,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_84
| ~ spl17_99 ),
inference(resolution,[],[f747,f649]) ).
fof(f948,plain,
( spl17_136
| ~ spl17_83
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f760,f746,f644,f946]) ).
fof(f760,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_83
| ~ spl17_99 ),
inference(resolution,[],[f747,f645]) ).
fof(f944,plain,
( spl17_135
| ~ spl17_30
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f759,f746,f354,f942]) ).
fof(f354,plain,
( spl17_30
<=> ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f759,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl17_30
| ~ spl17_99 ),
inference(resolution,[],[f747,f355]) ).
fof(f355,plain,
( ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1)
| ~ spl17_30 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f940,plain,
( spl17_134
| ~ spl17_28
| ~ spl17_97 ),
inference(avatar_split_clause,[],[f733,f726,f346,f938]) ).
fof(f938,plain,
( spl17_134
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_134])]) ).
fof(f726,plain,
( spl17_97
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_97])]) ).
fof(f733,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK2(X0)) )
| ~ spl17_28
| ~ spl17_97 ),
inference(resolution,[],[f727,f347]) ).
fof(f727,plain,
( ! [X0] :
( r2_hidden(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl17_97 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f936,plain,
( spl17_133
| ~ spl17_28
| ~ spl17_96 ),
inference(avatar_split_clause,[],[f730,f719,f346,f934]) ).
fof(f730,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl17_28
| ~ spl17_96 ),
inference(resolution,[],[f720,f347]) ).
fof(f932,plain,
( spl17_132
| ~ spl17_81
| ~ spl17_92 ),
inference(avatar_split_clause,[],[f716,f700,f636,f930]) ).
fof(f700,plain,
( spl17_92
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK2(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).
fof(f716,plain,
( ! [X0] :
( m1_subset_1(sK6(sK2(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK2(X0)) )
| ~ spl17_81
| ~ spl17_92 ),
inference(resolution,[],[f701,f637]) ).
fof(f701,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK2(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl17_92 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f928,plain,
( spl17_131
| ~ spl17_81
| ~ spl17_89 ),
inference(avatar_split_clause,[],[f690,f686,f636,f926]) ).
fof(f686,plain,
( spl17_89
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).
fof(f690,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl17_81
| ~ spl17_89 ),
inference(resolution,[],[f687,f637]) ).
fof(f687,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl17_89 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f918,plain,
( ~ spl17_74
| ~ spl17_58
| spl17_123 ),
inference(avatar_split_clause,[],[f893,f881,f509,f596]) ).
fof(f509,plain,
( spl17_58
<=> ! [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,[spl17_58])]) ).
fof(f893,plain,
( ~ l1_group_1(sK1)
| ~ spl17_58
| spl17_123 ),
inference(resolution,[],[f883,f510]) ).
fof(f510,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) )
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f883,plain,
( ~ v1_funct_2(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl17_123 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f915,plain,
( spl17_130
| ~ spl17_85
| ~ spl17_98 ),
inference(avatar_split_clause,[],[f744,f736,f652,f913]) ).
fof(f744,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK11(X0,X1)) )
| ~ spl17_85
| ~ spl17_98 ),
inference(resolution,[],[f737,f653]) ).
fof(f911,plain,
( spl17_129
| ~ spl17_84
| ~ spl17_98 ),
inference(avatar_split_clause,[],[f743,f736,f648,f909]) ).
fof(f743,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) )
| ~ spl17_84
| ~ spl17_98 ),
inference(resolution,[],[f737,f649]) ).
fof(f907,plain,
( spl17_128
| ~ spl17_83
| ~ spl17_98 ),
inference(avatar_split_clause,[],[f742,f736,f644,f905]) ).
fof(f742,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) )
| ~ spl17_83
| ~ spl17_98 ),
inference(resolution,[],[f737,f645]) ).
fof(f903,plain,
( spl17_127
| ~ spl17_30
| ~ spl17_98 ),
inference(avatar_split_clause,[],[f741,f736,f354,f901]) ).
fof(f741,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK8(X0,X1)) )
| ~ spl17_30
| ~ spl17_98 ),
inference(resolution,[],[f737,f355]) ).
fof(f899,plain,
( spl17_126
| ~ spl17_18
| ~ spl17_95 ),
inference(avatar_split_clause,[],[f717,f712,f299,f897]) ).
fof(f897,plain,
( spl17_126
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_struct_0(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_126])]) ).
fof(f712,plain,
( spl17_95
<=> ! [X0] :
( l1_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_95])]) ).
fof(f717,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l1_struct_0(sK4(X0)) )
| ~ spl17_18
| ~ spl17_95 ),
inference(resolution,[],[f713,f300]) ).
fof(f713,plain,
( ! [X0] :
( l1_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_95 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f894,plain,
( ~ spl17_74
| ~ spl17_23
| spl17_122 ),
inference(avatar_split_clause,[],[f892,f877,f321,f596]) ).
fof(f321,plain,
( spl17_23
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f892,plain,
( ~ l1_group_1(sK1)
| ~ spl17_23
| spl17_122 ),
inference(resolution,[],[f879,f322]) ).
fof(f322,plain,
( ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f879,plain,
( ~ v1_funct_1(u1_group_1(sK1))
| spl17_122 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f891,plain,
( ~ spl17_122
| ~ spl17_123
| ~ spl17_124
| spl17_125
| ~ spl17_69
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f607,f602,f566,f889,f885,f881,f877]) ).
fof(f889,plain,
( spl17_125
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_group_1(sK1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).
fof(f566,plain,
( spl17_69
<=> ! [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,[spl17_69])]) ).
fof(f607,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_group_1(sK1) = X1
| ~ m1_relset_1(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_group_1(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_group_1(sK1)) )
| ~ spl17_69
| ~ spl17_75 ),
inference(superposition,[],[f567,f604]) ).
fof(f567,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl17_69 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f871,plain,
( spl17_121
| ~ spl17_81
| ~ spl17_87 ),
inference(avatar_split_clause,[],[f680,f674,f636,f869]) ).
fof(f674,plain,
( spl17_87
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_87])]) ).
fof(f680,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl17_81
| ~ spl17_87 ),
inference(resolution,[],[f675,f637]) ).
fof(f675,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl17_87 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f867,plain,
( spl17_120
| ~ spl17_28
| ~ spl17_81 ),
inference(avatar_split_clause,[],[f656,f636,f346,f865]) ).
fof(f865,plain,
( spl17_120
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).
fof(f656,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) )
| ~ spl17_28
| ~ spl17_81 ),
inference(resolution,[],[f637,f347]) ).
fof(f863,plain,
( spl17_119
| ~ spl17_30
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f582,f579,f354,f861]) ).
fof(f861,plain,
( spl17_119
<=> ! [X0] :
( m1_group_2(sK3(X0,sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).
fof(f582,plain,
( ! [X0] :
( m1_group_2(sK3(X0,sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))),X0)
| k1_latsubgr(X0) = sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_30
| ~ spl17_71 ),
inference(resolution,[],[f580,f355]) ).
fof(f858,plain,
( spl17_118
| ~ spl17_30
| ~ spl17_70 ),
inference(avatar_split_clause,[],[f575,f572,f354,f856]) ).
fof(f856,plain,
( spl17_118
<=> ! [X0] :
( v1_group_1(sK3(X0,sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_118])]) ).
fof(f575,plain,
( ! [X0] :
( v1_group_1(sK3(X0,sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))))
| k1_latsubgr(X0) = sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(sK8(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_30
| ~ spl17_70 ),
inference(resolution,[],[f573,f355]) ).
fof(f850,plain,
( spl17_117
| ~ spl17_62
| ~ spl17_73 ),
inference(avatar_split_clause,[],[f594,f590,f526,f848]) ).
fof(f590,plain,
( spl17_73
<=> ! [X0,X3] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_62
| ~ spl17_73 ),
inference(duplicate_literal_removal,[],[f593]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(X1),X0)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ spl17_62
| ~ spl17_73 ),
inference(resolution,[],[f591,f527]) ).
fof(f591,plain,
( ! [X3,X0] :
( ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_73 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f846,plain,
( spl17_116
| ~ spl17_61
| ~ spl17_63 ),
inference(avatar_split_clause,[],[f540,f530,f522,f844]) ).
fof(f540,plain,
( ! [X0] :
( v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_61
| ~ spl17_63 ),
inference(resolution,[],[f531,f523]) ).
fof(f840,plain,
( spl17_115
| ~ spl17_61
| ~ spl17_64 ),
inference(avatar_split_clause,[],[f543,f534,f522,f838]) ).
fof(f543,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_61
| ~ spl17_64 ),
inference(resolution,[],[f535,f523]) ).
fof(f834,plain,
( spl17_114
| ~ spl17_58
| ~ spl17_63 ),
inference(avatar_split_clause,[],[f539,f530,f509,f832]) ).
fof(f539,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) )
| ~ spl17_58
| ~ spl17_63 ),
inference(resolution,[],[f531,f510]) ).
fof(f827,plain,
( spl17_113
| ~ spl17_58
| ~ spl17_64 ),
inference(avatar_split_clause,[],[f542,f534,f509,f825]) ).
fof(f542,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) )
| ~ spl17_58
| ~ spl17_64 ),
inference(resolution,[],[f535,f510]) ).
fof(f821,plain,
( spl17_112
| ~ spl17_34
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f554,f549,f370,f819]) ).
fof(f549,plain,
( spl17_66
<=> ! [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,[spl17_66])]) ).
fof(f554,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_34
| ~ spl17_66 ),
inference(resolution,[],[f550,f371]) ).
fof(f550,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) )
| ~ spl17_66 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f817,plain,
( spl17_111
| ~ spl17_34
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f552,f545,f370,f815]) ).
fof(f545,plain,
( spl17_65
<=> ! [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,[spl17_65])]) ).
fof(f552,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_34
| ~ spl17_65 ),
inference(resolution,[],[f546,f371]) ).
fof(f546,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) )
| ~ spl17_65 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f809,plain,
( spl17_110
| ~ spl17_58
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f555,f549,f509,f807]) ).
fof(f555,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) )
| ~ spl17_58
| ~ spl17_66 ),
inference(resolution,[],[f550,f510]) ).
fof(f805,plain,
( spl17_109
| ~ spl17_58
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f553,f545,f509,f803]) ).
fof(f553,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) )
| ~ spl17_58
| ~ spl17_65 ),
inference(resolution,[],[f546,f510]) ).
fof(f800,plain,
( spl17_108
| ~ spl17_67
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f608,f602,f557,f798]) ).
fof(f798,plain,
( spl17_108
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_108])]) ).
fof(f608,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl17_67
| ~ spl17_75 ),
inference(superposition,[],[f558,f604]) ).
fof(f795,plain,
( spl17_107
| ~ spl17_34
| ~ spl17_64 ),
inference(avatar_split_clause,[],[f541,f534,f370,f793]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl17_34
| ~ spl17_64 ),
inference(resolution,[],[f535,f371]) ).
fof(f791,plain,
( spl17_106
| ~ spl17_34
| ~ spl17_63 ),
inference(avatar_split_clause,[],[f538,f530,f370,f789]) ).
fof(f538,plain,
( ! [X0,X1] :
( v1_partfun1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl17_34
| ~ spl17_63 ),
inference(resolution,[],[f531,f371]) ).
fof(f786,plain,
( spl17_105
| ~ spl17_43
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f537,f526,f411,f784]) ).
fof(f411,plain,
( spl17_43
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
fof(f537,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl17_43
| ~ spl17_62 ),
inference(resolution,[],[f527,f412]) ).
fof(f412,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl17_43 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f779,plain,
( spl17_104
| ~ spl17_41
| ~ spl17_49 ),
inference(avatar_split_clause,[],[f460,f450,f403,f777]) ).
fof(f450,plain,
( spl17_49
<=> ! [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,[spl17_49])]) ).
fof(f460,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))) )
| ~ spl17_41
| ~ spl17_49 ),
inference(resolution,[],[f451,f404]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f772,plain,
( spl17_103
| ~ spl17_41
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f458,f446,f403,f770]) ).
fof(f446,plain,
( spl17_48
<=> ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
fof(f458,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl17_41
| ~ spl17_48 ),
inference(resolution,[],[f447,f404]) ).
fof(f447,plain,
( ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f767,plain,
( spl17_102
| ~ spl17_69
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f606,f602,f566,f765]) ).
fof(f765,plain,
( spl17_102
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_group_1(sK1) = 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,[spl17_102])]) ).
fof(f606,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_group_1(sK1) = 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) )
| ~ spl17_69
| ~ spl17_75 ),
inference(superposition,[],[f567,f604]) ).
fof(f756,plain,
( spl17_101
| ~ spl17_43
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f516,f513,f411,f754]) ).
fof(f516,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)) )
| ~ spl17_43
| ~ spl17_59 ),
inference(resolution,[],[f514,f412]) ).
fof(f752,plain,
( spl17_100
| ~ spl17_48
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f464,f454,f446,f750]) ).
fof(f464,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK5(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl17_48
| ~ spl17_50 ),
inference(resolution,[],[f455,f447]) ).
fof(f748,plain,
( spl17_99
| ~ spl17_49
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f462,f454,f450,f746]) ).
fof(f462,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl17_49
| ~ spl17_50 ),
inference(resolution,[],[f455,f451]) ).
fof(f738,plain,
( spl17_98
| ~ spl17_45
| ~ spl17_49 ),
inference(avatar_split_clause,[],[f459,f450,f428,f736]) ).
fof(f459,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl17_45
| ~ spl17_49 ),
inference(resolution,[],[f451,f429]) ).
fof(f728,plain,
( spl17_97
| ~ spl17_36
| ~ spl17_41 ),
inference(avatar_split_clause,[],[f419,f403,f379,f726]) ).
fof(f379,plain,
( spl17_36
<=> ! [X0] :
( m1_subset_1(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).
fof(f419,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl17_36
| ~ spl17_41 ),
inference(resolution,[],[f404,f380]) ).
fof(f380,plain,
( ! [X0] :
( m1_subset_1(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f721,plain,
( spl17_96
| ~ spl17_39
| ~ spl17_41 ),
inference(avatar_split_clause,[],[f418,f403,f391,f719]) ).
fof(f391,plain,
( spl17_39
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).
fof(f418,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl17_39
| ~ spl17_41 ),
inference(resolution,[],[f404,f392]) ).
fof(f392,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f714,plain,
( spl17_95
| ~ spl17_47
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f507,f490,f442,f712]) ).
fof(f442,plain,
( spl17_47
<=> ! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
fof(f490,plain,
( spl17_56
<=> ! [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,[spl17_56])]) ).
fof(f507,plain,
( ! [X0] :
( l1_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_47
| ~ spl17_56 ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f506,plain,
( ! [X0] :
( l1_group_1(sK4(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) )
| ~ spl17_47
| ~ spl17_56 ),
inference(resolution,[],[f491,f443]) ).
fof(f443,plain,
( ! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f491,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_56 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f710,plain,
( spl17_94
| ~ spl17_47
| ~ spl17_55 ),
inference(avatar_split_clause,[],[f499,f486,f442,f708]) ).
fof(f708,plain,
( spl17_94
<=> ! [X0] :
( v3_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_94])]) ).
fof(f486,plain,
( spl17_55
<=> ! [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,[spl17_55])]) ).
fof(f499,plain,
( ! [X0] :
( v3_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_47
| ~ spl17_55 ),
inference(duplicate_literal_removal,[],[f498]) ).
fof(f498,plain,
( ! [X0] :
( v3_group_1(sK4(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) )
| ~ spl17_47
| ~ spl17_55 ),
inference(resolution,[],[f487,f443]) ).
fof(f487,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_55 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f706,plain,
( spl17_93
| ~ spl17_47
| ~ spl17_54 ),
inference(avatar_split_clause,[],[f496,f482,f442,f704]) ).
fof(f704,plain,
( spl17_93
<=> ! [X0] :
( ~ v3_struct_0(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_93])]) ).
fof(f482,plain,
( spl17_54
<=> ! [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,[spl17_54])]) ).
fof(f496,plain,
( ! [X0] :
( ~ v3_struct_0(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_47
| ~ spl17_54 ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f495,plain,
( ! [X0] :
( ~ v3_struct_0(sK4(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) )
| ~ spl17_47
| ~ spl17_54 ),
inference(resolution,[],[f483,f443]) ).
fof(f483,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_54 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f702,plain,
( spl17_92
| ~ spl17_36
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f463,f454,f379,f700]) ).
fof(f463,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK2(X1))
| v1_xboole_0(X1) )
| ~ spl17_36
| ~ spl17_50 ),
inference(resolution,[],[f455,f380]) ).
fof(f698,plain,
( spl17_91
| ~ spl17_26
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f614,f611,f334,f696]) ).
fof(f696,plain,
( spl17_91
<=> ! [X0] : m1_subset_1(sK15,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_91])]) ).
fof(f334,plain,
( spl17_26
<=> ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f611,plain,
( spl17_76
<=> ! [X0] : sK7(X0) = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).
fof(f614,plain,
( ! [X0] : m1_subset_1(sK15,k1_zfmisc_1(X0))
| ~ spl17_26
| ~ spl17_76 ),
inference(superposition,[],[f335,f612]) ).
fof(f612,plain,
( ! [X0] : sK7(X0) = sK15
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f335,plain,
( ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| ~ spl17_26 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f694,plain,
( spl17_90
| ~ spl17_39
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f461,f454,f391,f692]) ).
fof(f692,plain,
( spl17_90
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_90])]) ).
fof(f461,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl17_39
| ~ spl17_50 ),
inference(resolution,[],[f455,f392]) ).
fof(f688,plain,
( spl17_89
| ~ spl17_19
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f465,f454,f303,f686]) ).
fof(f303,plain,
( spl17_19
<=> ! [X0] : m1_subset_1(sK6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f465,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) )
| ~ spl17_19
| ~ spl17_50 ),
inference(resolution,[],[f455,f304]) ).
fof(f304,plain,
( ! [X0] : m1_subset_1(sK6(X0),X0)
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f684,plain,
( spl17_88
| ~ spl17_39
| ~ spl17_45 ),
inference(avatar_split_clause,[],[f436,f428,f391,f682]) ).
fof(f682,plain,
( spl17_88
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_88])]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl17_39
| ~ spl17_45 ),
inference(resolution,[],[f429,f392]) ).
fof(f676,plain,
( spl17_87
| ~ spl17_19
| ~ spl17_45 ),
inference(avatar_split_clause,[],[f438,f428,f303,f674]) ).
fof(f438,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) )
| ~ spl17_19
| ~ spl17_45 ),
inference(resolution,[],[f429,f304]) ).
fof(f672,plain,
( spl17_86
| ~ spl17_12
| ~ spl17_16
| ~ spl17_24
| ~ spl17_26
| ~ spl17_41 ),
inference(avatar_split_clause,[],[f422,f403,f334,f325,f291,f272,f670]) ).
fof(f670,plain,
( spl17_86
<=> ! [X0] :
( r2_hidden(sK15,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
fof(f291,plain,
( spl17_16
<=> ! [X0] : v1_xboole_0(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f325,plain,
( spl17_24
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f422,plain,
( ! [X0] :
( r2_hidden(sK15,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl17_12
| ~ spl17_16
| ~ spl17_24
| ~ spl17_26
| ~ spl17_41 ),
inference(forward_demodulation,[],[f421,f344]) ).
fof(f344,plain,
( ! [X0] : sK7(X0) = sK15
| ~ spl17_12
| ~ spl17_16
| ~ spl17_24 ),
inference(forward_demodulation,[],[f343,f342]) ).
fof(f342,plain,
( k1_xboole_0 = sK15
| ~ spl17_12
| ~ spl17_24 ),
inference(resolution,[],[f326,f274]) ).
fof(f274,plain,
( v1_xboole_0(sK15)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f326,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f343,plain,
( ! [X0] : k1_xboole_0 = sK7(X0)
| ~ spl17_16
| ~ spl17_24 ),
inference(resolution,[],[f326,f292]) ).
fof(f292,plain,
( ! [X0] : v1_xboole_0(sK7(X0))
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f421,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK7(X0),k1_zfmisc_1(X0)) )
| ~ spl17_26
| ~ spl17_41 ),
inference(resolution,[],[f404,f335]) ).
fof(f654,plain,
( spl17_85
| ~ spl17_33
| ~ spl17_44 ),
inference(avatar_split_clause,[],[f426,f415,f366,f652]) ).
fof(f426,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl17_33
| ~ spl17_44 ),
inference(resolution,[],[f416,f367]) ).
fof(f650,plain,
( spl17_84
| ~ spl17_32
| ~ spl17_44 ),
inference(avatar_split_clause,[],[f425,f415,f362,f648]) ).
fof(f362,plain,
( spl17_32
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f425,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl17_32
| ~ spl17_44 ),
inference(resolution,[],[f416,f363]) ).
fof(f363,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl17_32 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f646,plain,
( spl17_83
| ~ spl17_31
| ~ spl17_44 ),
inference(avatar_split_clause,[],[f424,f415,f358,f644]) ).
fof(f358,plain,
( spl17_31
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f424,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl17_31
| ~ spl17_44 ),
inference(resolution,[],[f416,f359]) ).
fof(f359,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f642,plain,
( spl17_82
| ~ spl17_30
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f423,f411,f354,f640]) ).
fof(f640,plain,
( spl17_82
<=> ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).
fof(f423,plain,
( ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1)
| ~ spl17_30
| ~ spl17_43 ),
inference(resolution,[],[f412,f355]) ).
fof(f638,plain,
( spl17_81
| ~ spl17_19
| ~ spl17_41 ),
inference(avatar_split_clause,[],[f420,f403,f303,f636]) ).
fof(f420,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) )
| ~ spl17_19
| ~ spl17_41 ),
inference(resolution,[],[f404,f304]) ).
fof(f631,plain,
( spl17_80
| ~ spl17_18
| ~ spl17_74 ),
inference(avatar_split_clause,[],[f600,f596,f299,f628]) ).
fof(f600,plain,
( l1_struct_0(sK1)
| ~ spl17_18
| ~ spl17_74 ),
inference(resolution,[],[f598,f300]) ).
fof(f598,plain,
( l1_group_1(sK1)
| ~ spl17_74 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f626,plain,
( spl17_78
| spl17_79
| ~ spl17_12
| ~ spl17_16
| ~ spl17_24
| ~ spl17_26
| ~ spl17_45 ),
inference(avatar_split_clause,[],[f440,f428,f334,f325,f291,f272,f624,f621]) ).
fof(f621,plain,
( spl17_78
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).
fof(f624,plain,
( spl17_79
<=> ! [X1] : ~ r2_hidden(X1,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
fof(f440,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK15)
| ~ v1_xboole_0(X0) )
| ~ spl17_12
| ~ spl17_16
| ~ spl17_24
| ~ spl17_26
| ~ spl17_45 ),
inference(forward_demodulation,[],[f439,f344]) ).
fof(f439,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(X0)) )
| ~ spl17_26
| ~ spl17_45 ),
inference(resolution,[],[f429,f335]) ).
fof(f619,plain,
( spl17_77
| ~ spl17_12
| ~ spl17_40 ),
inference(avatar_split_clause,[],[f399,f395,f272,f617]) ).
fof(f399,plain,
( ! [X0] :
( sK15 = X0
| ~ v1_xboole_0(X0) )
| ~ spl17_12
| ~ spl17_40 ),
inference(resolution,[],[f396,f274]) ).
fof(f613,plain,
( spl17_76
| ~ spl17_12
| ~ spl17_16
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f344,f325,f291,f272,f611]) ).
fof(f605,plain,
( ~ spl17_74
| spl17_75
| ~ spl17_5
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f493,f469,f237,f602,f596]) ).
fof(f493,plain,
( sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1))
| ~ l1_group_1(sK1)
| ~ spl17_5
| ~ spl17_51 ),
inference(resolution,[],[f470,f239]) ).
fof(f239,plain,
( v1_group_1(sK1)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f599,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_4
| spl17_74
| ~ spl17_6
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f505,f490,f242,f596,f232,f222,f217]) ).
fof(f505,plain,
( l1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_56 ),
inference(resolution,[],[f491,f244]) ).
fof(f592,plain,
spl17_73,
inference(avatar_split_clause,[],[f215,f590]) ).
fof(f215,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_latsubgr(X0) != X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f111,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f588,plain,
spl17_72,
inference(avatar_split_clause,[],[f165,f586]) ).
fof(f586,plain,
( spl17_72
<=> ! [X0,X1] :
( k1_latsubgr(X0) = X1
| k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).
fof(f165,plain,
! [X0,X1] :
( k1_latsubgr(X0) = X1
| k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f581,plain,
spl17_71,
inference(avatar_split_clause,[],[f164,f579]) ).
fof(f164,plain,
! [X0,X1] :
( k1_latsubgr(X0) = X1
| m1_group_2(sK3(X0,X1),X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f574,plain,
spl17_70,
inference(avatar_split_clause,[],[f163,f572]) ).
fof(f163,plain,
! [X0,X1] :
( k1_latsubgr(X0) = X1
| v1_group_1(sK3(X0,X1))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f568,plain,
spl17_69,
inference(avatar_split_clause,[],[f191,f566]) ).
fof(f191,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,[],[f95]) ).
fof(f95,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,[],[f94]) ).
fof(f94,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,[],[f36]) ).
fof(f36,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(f564,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_4
| spl17_68
| ~ spl17_6
| ~ spl17_55 ),
inference(avatar_split_clause,[],[f497,f486,f242,f561,f232,f222,f217]) ).
fof(f561,plain,
( spl17_68
<=> v3_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
fof(f497,plain,
( v3_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_55 ),
inference(resolution,[],[f487,f244]) ).
fof(f559,plain,
spl17_67,
inference(avatar_split_clause,[],[f190,f557]) ).
fof(f190,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,[],[f95]) ).
fof(f551,plain,
spl17_66,
inference(avatar_split_clause,[],[f189,f549]) ).
fof(f189,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,[],[f93]) ).
fof(f93,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,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f547,plain,
spl17_65,
inference(avatar_split_clause,[],[f188,f545]) ).
fof(f188,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,[],[f93]) ).
fof(f536,plain,
spl17_64,
inference(avatar_split_clause,[],[f185,f534]) ).
fof(f185,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,[],[f91]) ).
fof(f91,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,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f532,plain,
spl17_63,
inference(avatar_split_clause,[],[f178,f530]) ).
fof(f178,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,[],[f83]) ).
fof(f83,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,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f528,plain,
spl17_62,
inference(avatar_split_clause,[],[f161,f526]) ).
fof(f161,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f524,plain,
spl17_61,
inference(avatar_split_clause,[],[f160,f522]) ).
fof(f160,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f520,plain,
spl17_60,
inference(avatar_split_clause,[],[f204,f518]) ).
fof(f518,plain,
( spl17_60
<=> ! [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,[spl17_60])]) ).
fof(f204,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,[],[f101]) ).
fof(f101,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,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f515,plain,
spl17_59,
inference(avatar_split_clause,[],[f155,f513]) ).
fof(f155,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,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f511,plain,
spl17_58,
inference(avatar_split_clause,[],[f154,f509]) ).
fof(f154,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,[],[f64]) ).
fof(f504,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_57
| ~ spl17_6
| ~ spl17_54 ),
inference(avatar_split_clause,[],[f494,f482,f242,f501,f232,f222,f217]) ).
fof(f494,plain,
( ~ v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_54 ),
inference(resolution,[],[f483,f244]) ).
fof(f492,plain,
spl17_56,
inference(avatar_split_clause,[],[f168,f490]) ).
fof(f168,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,[],[f75]) ).
fof(f75,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,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f488,plain,
spl17_55,
inference(avatar_split_clause,[],[f167,f486]) ).
fof(f167,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,[],[f75]) ).
fof(f484,plain,
spl17_54,
inference(avatar_split_clause,[],[f166,f482]) ).
fof(f166,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,[],[f75]) ).
fof(f480,plain,
spl17_53,
inference(avatar_split_clause,[],[f159,f478]) ).
fof(f159,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f476,plain,
spl17_52,
inference(avatar_split_clause,[],[f158,f474]) ).
fof(f474,plain,
( spl17_52
<=> ! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).
fof(f158,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k1_group_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_3) ).
fof(f471,plain,
spl17_51,
inference(avatar_split_clause,[],[f156,f469]) ).
fof(f156,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,[],[f66]) ).
fof(f66,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f456,plain,
spl17_50,
inference(avatar_split_clause,[],[f205,f454]) ).
fof(f205,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,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(f452,plain,
spl17_49,
inference(avatar_split_clause,[],[f202,f450]) ).
fof(f202,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,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f448,plain,
spl17_48,
inference(avatar_split_clause,[],[f171,f446]) ).
fof(f171,plain,
! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f81,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f81,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,[],[f80]) ).
fof(f80,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,[],[f44]) ).
fof(f44,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(f444,plain,
spl17_47,
inference(avatar_split_clause,[],[f169,f442]) ).
fof(f169,plain,
! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f77,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f435,plain,
( spl17_46
| ~ spl17_12
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f342,f325,f272,f432]) ).
fof(f430,plain,
spl17_45,
inference(avatar_split_clause,[],[f208,f428]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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(f417,plain,
spl17_44,
inference(avatar_split_clause,[],[f207,f415]) ).
fof(f207,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f413,plain,
spl17_43,
inference(avatar_split_clause,[],[f206,f411]) ).
fof(f206,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f409,plain,
spl17_42,
inference(avatar_split_clause,[],[f183,f407]) ).
fof(f183,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f405,plain,
spl17_41,
inference(avatar_split_clause,[],[f182,f403]) ).
fof(f182,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,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(f397,plain,
spl17_40,
inference(avatar_split_clause,[],[f193,f395]) ).
fof(f193,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f393,plain,
spl17_39,
inference(avatar_split_clause,[],[f192,f391]) ).
fof(f192,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,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(f389,plain,
spl17_38,
inference(avatar_split_clause,[],[f172,f387]) ).
fof(f387,plain,
( spl17_38
<=> ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).
fof(f172,plain,
! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f385,plain,
spl17_37,
inference(avatar_split_clause,[],[f170,f383]) ).
fof(f170,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,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(f381,plain,
spl17_36,
inference(avatar_split_clause,[],[f150,f379]) ).
fof(f150,plain,
! [X0] :
( m1_subset_1(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( ~ v1_xboole_0(sK2(X0))
& m1_subset_1(sK2(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f62,f108]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK2(X0))
& m1_subset_1(sK2(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f377,plain,
( spl17_35
| ~ spl17_11
| ~ spl17_18 ),
inference(avatar_split_clause,[],[f315,f299,f267,f374]) ).
fof(f374,plain,
( spl17_35
<=> l1_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
fof(f267,plain,
( spl17_11
<=> l1_group_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f315,plain,
( l1_struct_0(sK14)
| ~ spl17_11
| ~ spl17_18 ),
inference(resolution,[],[f300,f269]) ).
fof(f269,plain,
( l1_group_1(sK14)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f372,plain,
spl17_34,
inference(avatar_split_clause,[],[f201,f370]) ).
fof(f201,plain,
! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f58,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f37]) ).
fof(f37,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(f368,plain,
spl17_33,
inference(avatar_split_clause,[],[f199,f366]) ).
fof(f199,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f129]) ).
fof(f364,plain,
spl17_32,
inference(avatar_split_clause,[],[f197,f362]) ).
fof(f197,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( v1_funct_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f57,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f40,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(f360,plain,
spl17_31,
inference(avatar_split_clause,[],[f196,f358]) ).
fof(f196,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f28,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f356,plain,
spl17_30,
inference(avatar_split_clause,[],[f195,f354]) ).
fof(f195,plain,
! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f30,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f352,plain,
spl17_29,
inference(avatar_split_clause,[],[f181,f350]) ).
fof(f350,plain,
( spl17_29
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f181,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f348,plain,
spl17_28,
inference(avatar_split_clause,[],[f180,f346]) ).
fof(f180,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f340,plain,
spl17_27,
inference(avatar_split_clause,[],[f194,f338]) ).
fof(f338,plain,
( spl17_27
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f194,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f336,plain,
spl17_26,
inference(avatar_split_clause,[],[f174,f334]) ).
fof(f174,plain,
! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f41,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f332,plain,
( spl17_25
| ~ spl17_4
| ~ spl17_18 ),
inference(avatar_split_clause,[],[f314,f299,f232,f329]) ).
fof(f329,plain,
( spl17_25
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f314,plain,
( l1_struct_0(sK0)
| ~ spl17_4
| ~ spl17_18 ),
inference(resolution,[],[f300,f234]) ).
fof(f234,plain,
( l1_group_1(sK0)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f327,plain,
spl17_24,
inference(avatar_split_clause,[],[f157,f325]) ).
fof(f157,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f323,plain,
spl17_23,
inference(avatar_split_clause,[],[f153,f321]) ).
fof(f153,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f319,plain,
spl17_22,
inference(avatar_split_clause,[],[f151,f317]) ).
fof(f317,plain,
( spl17_22
<=> ! [X0] :
( ~ v1_xboole_0(sK2(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f151,plain,
! [X0] :
( ~ v1_xboole_0(sK2(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f313,plain,
spl17_21,
inference(avatar_split_clause,[],[f200,f311]) ).
fof(f311,plain,
( spl17_21
<=> ! [X0,X1] : v1_funct_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f200,plain,
! [X0,X1] : v1_funct_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f129]) ).
fof(f309,plain,
spl17_20,
inference(avatar_split_clause,[],[f198,f307]) ).
fof(f307,plain,
( spl17_20
<=> ! [X0,X1] : v1_funct_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f198,plain,
! [X0,X1] : v1_funct_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f127]) ).
fof(f305,plain,
spl17_19,
inference(avatar_split_clause,[],[f173,f303]) ).
fof(f173,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f29,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f301,plain,
spl17_18,
inference(avatar_split_clause,[],[f152,f299]) ).
fof(f152,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f297,plain,
spl17_17,
inference(avatar_split_clause,[],[f176,f295]) ).
fof(f295,plain,
( spl17_17
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f176,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f293,plain,
spl17_16,
inference(avatar_split_clause,[],[f175,f291]) ).
fof(f175,plain,
! [X0] : v1_xboole_0(sK7(X0)),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
spl17_15,
inference(avatar_split_clause,[],[f149,f287]) ).
fof(f149,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f285,plain,
~ spl17_14,
inference(avatar_split_clause,[],[f214,f282]) ).
fof(f282,plain,
( spl17_14
<=> v3_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f214,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ~ v3_struct_0(sK16)
& l1_struct_0(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f43,f139]) ).
fof(f139,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK16)
& l1_struct_0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f280,plain,
spl17_13,
inference(avatar_split_clause,[],[f213,f277]) ).
fof(f277,plain,
( spl17_13
<=> l1_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f213,plain,
l1_struct_0(sK16),
inference(cnf_transformation,[],[f140]) ).
fof(f275,plain,
spl17_12,
inference(avatar_split_clause,[],[f212,f272]) ).
fof(f212,plain,
v1_xboole_0(sK15),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
v1_xboole_0(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f39,f137]) ).
fof(f137,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK15) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f270,plain,
spl17_11,
inference(avatar_split_clause,[],[f211,f267]) ).
fof(f211,plain,
l1_group_1(sK14),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
l1_group_1(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f25,f135]) ).
fof(f135,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK14) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f265,plain,
spl17_10,
inference(avatar_split_clause,[],[f210,f262]) ).
fof(f262,plain,
( spl17_10
<=> l1_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f210,plain,
l1_struct_0(sK13),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
l1_struct_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f26,f133]) ).
fof(f133,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f260,plain,
~ spl17_9,
inference(avatar_split_clause,[],[f209,f257]) ).
fof(f257,plain,
( spl17_9
<=> v1_xboole_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f209,plain,
~ v1_xboole_0(sK12),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
~ v1_xboole_0(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f42,f131]) ).
fof(f131,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK12) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f255,plain,
spl17_8,
inference(avatar_split_clause,[],[f148,f252]) ).
fof(f148,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f250,plain,
spl17_7,
inference(avatar_split_clause,[],[f147,f247]) ).
fof(f147,plain,
k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
& m1_group_2(sK1,sK0)
& v1_group_1(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f61,f106,f105]) ).
fof(f105,plain,
( ? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),X1)
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X1] :
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),X1)
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
fof(f245,plain,
spl17_6,
inference(avatar_split_clause,[],[f146,f242]) ).
fof(f146,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f240,plain,
spl17_5,
inference(avatar_split_clause,[],[f145,f237]) ).
fof(f145,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f235,plain,
spl17_4,
inference(avatar_split_clause,[],[f144,f232]) ).
fof(f144,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f230,plain,
spl17_3,
inference(avatar_split_clause,[],[f143,f227]) ).
fof(f143,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f225,plain,
spl17_2,
inference(avatar_split_clause,[],[f142,f222]) ).
fof(f142,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f220,plain,
~ spl17_1,
inference(avatar_split_clause,[],[f141,f217]) ).
fof(f141,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 04:41:10 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (4468)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (4471)WARNING: value z3 for option sas not known
% 0.14/0.32 % (4469)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 % (4472)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 % (4475)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.32 % (4470)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (4471)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)
% 0.14/0.32 % (4473)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.32 % (4474)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.33 TRYING [3]
% 0.14/0.33 TRYING [1]
% 0.14/0.33 TRYING [2]
% 0.14/0.34 TRYING [3]
% 0.14/0.34 TRYING [1]
% 0.14/0.34 TRYING [4]
% 0.14/0.34 TRYING [2]
% 0.14/0.34 % (4473)First to succeed.
% 0.14/0.35 TRYING [4]
% 0.14/0.36 % (4471)Also succeeded, but the first one will report.
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (4473)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (4473)------------------------------
% 0.14/0.37 % (4473)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (4473)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (4473)Memory used [KB]: 1544
% 0.14/0.37 % (4473)Time elapsed: 0.040 s
% 0.14/0.37 % (4473)Instructions burned: 69 (million)
% 0.14/0.37 % (4473)------------------------------
% 0.14/0.37 % (4473)------------------------------
% 0.14/0.37 % (4468)Success in time 0.06 s
%------------------------------------------------------------------------------