TSTP Solution File: CAT025+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT025+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 : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:43:53 EDT 2024
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 250
% Syntax : Number of formulae : 825 ( 106 unt; 0 def)
% Number of atoms : 3908 ( 148 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 5613 (2530 ~;2641 |; 190 &)
% ( 199 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 211 ( 209 usr; 195 prp; 0-12 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-6 aty)
% Number of variables : 1487 (1445 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1400,plain,
$false,
inference(avatar_sat_refutation,[],[f208,f213,f218,f223,f228,f233,f238,f243,f248,f253,f258,f262,f266,f270,f274,f278,f282,f286,f290,f294,f298,f302,f306,f310,f314,f322,f326,f330,f334,f339,f343,f347,f351,f359,f363,f368,f372,f383,f387,f391,f395,f399,f403,f407,f411,f425,f429,f444,f448,f452,f456,f460,f464,f468,f472,f477,f481,f488,f496,f500,f504,f508,f512,f516,f520,f524,f528,f537,f541,f545,f550,f554,f561,f565,f569,f570,f571,f573,f591,f595,f601,f609,f613,f617,f629,f633,f641,f645,f649,f655,f659,f663,f667,f671,f678,f684,f688,f698,f709,f713,f717,f731,f735,f742,f749,f753,f761,f765,f770,f777,f781,f787,f791,f797,f801,f805,f809,f819,f823,f838,f842,f847,f851,f855,f859,f863,f877,f881,f887,f892,f896,f905,f909,f920,f926,f933,f937,f943,f947,f951,f957,f961,f977,f987,f993,f1006,f1019,f1045,f1053,f1063,f1078,f1082,f1086,f1095,f1114,f1118,f1126,f1130,f1141,f1148,f1152,f1156,f1160,f1181,f1186,f1191,f1196,f1209,f1213,f1219,f1225,f1230,f1234,f1239,f1243,f1247,f1253,f1259,f1263,f1267,f1276,f1283,f1293,f1303,f1304,f1309,f1324,f1334,f1344,f1345,f1355,f1365,f1375,f1384,f1394,f1399]) ).
fof(f1399,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_183
| ~ spl14_184
| ~ spl14_53
| spl14_149 ),
inference(avatar_split_clause,[],[f1049,f1042,f458,f1273,f1269,f210,f205]) ).
fof(f205,plain,
( spl14_1
<=> v2_cat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f210,plain,
( spl14_2
<=> l1_cat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f1269,plain,
( spl14_183
<=> v2_cat_1(k12_nattra_1(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
fof(f1273,plain,
( spl14_184
<=> l1_cat_1(k12_nattra_1(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_184])]) ).
fof(f458,plain,
( spl14_53
<=> ! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
fof(f1042,plain,
( spl14_149
<=> l1_cat_1(k12_nattra_1(sK1,k12_nattra_1(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
fof(f1049,plain,
( ~ l1_cat_1(k12_nattra_1(sK2,sK3))
| ~ v2_cat_1(k12_nattra_1(sK2,sK3))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_53
| spl14_149 ),
inference(resolution,[],[f1044,f459]) ).
fof(f459,plain,
( ! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_53 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f1044,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
| spl14_149 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1394,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_53
| spl14_184 ),
inference(avatar_split_clause,[],[f1278,f1273,f458,f230,f225,f220,f215]) ).
fof(f215,plain,
( spl14_3
<=> v2_cat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f220,plain,
( spl14_4
<=> l1_cat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f225,plain,
( spl14_5
<=> v2_cat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f230,plain,
( spl14_6
<=> l1_cat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f1278,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_53
| spl14_184 ),
inference(resolution,[],[f1275,f459]) ).
fof(f1275,plain,
( ~ l1_cat_1(k12_nattra_1(sK2,sK3))
| spl14_184 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1384,plain,
( spl14_194
| ~ spl14_93
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f811,f775,f676,f1382]) ).
fof(f1382,plain,
( spl14_194
<=> ! [X0] :
( sK13 = sK6(k1_zfmisc_1(sK6(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_194])]) ).
fof(f676,plain,
( spl14_93
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).
fof(f775,plain,
( spl14_108
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = sK6(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
fof(f811,plain,
( ! [X0] :
( sK13 = sK6(k1_zfmisc_1(sK6(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) )
| ~ spl14_93
| ~ spl14_108 ),
inference(resolution,[],[f776,f677]) ).
fof(f677,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl14_93 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f776,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = sK6(k1_zfmisc_1(X0)) )
| ~ spl14_108 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f1375,plain,
( spl14_193
| ~ spl14_5
| ~ spl14_6
| ~ spl14_145 ),
inference(avatar_split_clause,[],[f1027,f1017,f230,f225,f1372]) ).
fof(f1372,plain,
( spl14_193
<=> k12_nattra_1(sK3,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(sK3,sK3)),u2_cat_1(k12_nattra_1(sK3,sK3)),u3_cat_1(k12_nattra_1(sK3,sK3)),u4_cat_1(k12_nattra_1(sK3,sK3)),u5_cat_1(k12_nattra_1(sK3,sK3)),u6_cat_1(k12_nattra_1(sK3,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_193])]) ).
fof(f1017,plain,
( spl14_145
<=> ! [X0] :
( k12_nattra_1(X0,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK3)),u2_cat_1(k12_nattra_1(X0,sK3)),u3_cat_1(k12_nattra_1(X0,sK3)),u4_cat_1(k12_nattra_1(X0,sK3)),u5_cat_1(k12_nattra_1(X0,sK3)),u6_cat_1(k12_nattra_1(X0,sK3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_145])]) ).
fof(f1027,plain,
( ~ v2_cat_1(sK3)
| k12_nattra_1(sK3,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(sK3,sK3)),u2_cat_1(k12_nattra_1(sK3,sK3)),u3_cat_1(k12_nattra_1(sK3,sK3)),u4_cat_1(k12_nattra_1(sK3,sK3)),u5_cat_1(k12_nattra_1(sK3,sK3)),u6_cat_1(k12_nattra_1(sK3,sK3)))
| ~ spl14_6
| ~ spl14_145 ),
inference(resolution,[],[f1018,f232]) ).
fof(f232,plain,
( l1_cat_1(sK3)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f1018,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_nattra_1(X0,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK3)),u2_cat_1(k12_nattra_1(X0,sK3)),u3_cat_1(k12_nattra_1(X0,sK3)),u4_cat_1(k12_nattra_1(X0,sK3)),u5_cat_1(k12_nattra_1(X0,sK3)),u6_cat_1(k12_nattra_1(X0,sK3))) )
| ~ spl14_145 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1365,plain,
( spl14_192
| ~ spl14_3
| ~ spl14_4
| ~ spl14_145 ),
inference(avatar_split_clause,[],[f1026,f1017,f220,f215,f1362]) ).
fof(f1362,plain,
( spl14_192
<=> k12_nattra_1(sK2,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(sK2,sK3)),u2_cat_1(k12_nattra_1(sK2,sK3)),u3_cat_1(k12_nattra_1(sK2,sK3)),u4_cat_1(k12_nattra_1(sK2,sK3)),u5_cat_1(k12_nattra_1(sK2,sK3)),u6_cat_1(k12_nattra_1(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_192])]) ).
fof(f1026,plain,
( ~ v2_cat_1(sK2)
| k12_nattra_1(sK2,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(sK2,sK3)),u2_cat_1(k12_nattra_1(sK2,sK3)),u3_cat_1(k12_nattra_1(sK2,sK3)),u4_cat_1(k12_nattra_1(sK2,sK3)),u5_cat_1(k12_nattra_1(sK2,sK3)),u6_cat_1(k12_nattra_1(sK2,sK3)))
| ~ spl14_4
| ~ spl14_145 ),
inference(resolution,[],[f1018,f222]) ).
fof(f222,plain,
( l1_cat_1(sK2)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f1355,plain,
( spl14_191
| ~ spl14_1
| ~ spl14_2
| ~ spl14_145 ),
inference(avatar_split_clause,[],[f1025,f1017,f210,f205,f1352]) ).
fof(f1352,plain,
( spl14_191
<=> k12_nattra_1(sK1,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(sK1,sK3)),u2_cat_1(k12_nattra_1(sK1,sK3)),u3_cat_1(k12_nattra_1(sK1,sK3)),u4_cat_1(k12_nattra_1(sK1,sK3)),u5_cat_1(k12_nattra_1(sK1,sK3)),u6_cat_1(k12_nattra_1(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_191])]) ).
fof(f1025,plain,
( ~ v2_cat_1(sK1)
| k12_nattra_1(sK1,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(sK1,sK3)),u2_cat_1(k12_nattra_1(sK1,sK3)),u3_cat_1(k12_nattra_1(sK1,sK3)),u4_cat_1(k12_nattra_1(sK1,sK3)),u5_cat_1(k12_nattra_1(sK1,sK3)),u6_cat_1(k12_nattra_1(sK1,sK3)))
| ~ spl14_2
| ~ spl14_145 ),
inference(resolution,[],[f1018,f212]) ).
fof(f212,plain,
( l1_cat_1(sK1)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f1345,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_52
| spl14_183 ),
inference(avatar_split_clause,[],[f1277,f1269,f454,f230,f225,f220,f215]) ).
fof(f454,plain,
( spl14_52
<=> ! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f1277,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_52
| spl14_183 ),
inference(resolution,[],[f1271,f455]) ).
fof(f455,plain,
( ! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f1271,plain,
( ~ v2_cat_1(k12_nattra_1(sK2,sK3))
| spl14_183 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1344,plain,
( spl14_190
| ~ spl14_5
| ~ spl14_6
| ~ spl14_144 ),
inference(avatar_split_clause,[],[f1014,f1004,f230,f225,f1341]) ).
fof(f1341,plain,
( spl14_190
<=> k12_nattra_1(sK3,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(sK3,sK2)),u2_cat_1(k12_nattra_1(sK3,sK2)),u3_cat_1(k12_nattra_1(sK3,sK2)),u4_cat_1(k12_nattra_1(sK3,sK2)),u5_cat_1(k12_nattra_1(sK3,sK2)),u6_cat_1(k12_nattra_1(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_190])]) ).
fof(f1004,plain,
( spl14_144
<=> ! [X0] :
( k12_nattra_1(X0,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK2)),u2_cat_1(k12_nattra_1(X0,sK2)),u3_cat_1(k12_nattra_1(X0,sK2)),u4_cat_1(k12_nattra_1(X0,sK2)),u5_cat_1(k12_nattra_1(X0,sK2)),u6_cat_1(k12_nattra_1(X0,sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
fof(f1014,plain,
( ~ v2_cat_1(sK3)
| k12_nattra_1(sK3,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(sK3,sK2)),u2_cat_1(k12_nattra_1(sK3,sK2)),u3_cat_1(k12_nattra_1(sK3,sK2)),u4_cat_1(k12_nattra_1(sK3,sK2)),u5_cat_1(k12_nattra_1(sK3,sK2)),u6_cat_1(k12_nattra_1(sK3,sK2)))
| ~ spl14_6
| ~ spl14_144 ),
inference(resolution,[],[f1005,f232]) ).
fof(f1005,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_nattra_1(X0,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK2)),u2_cat_1(k12_nattra_1(X0,sK2)),u3_cat_1(k12_nattra_1(X0,sK2)),u4_cat_1(k12_nattra_1(X0,sK2)),u5_cat_1(k12_nattra_1(X0,sK2)),u6_cat_1(k12_nattra_1(X0,sK2))) )
| ~ spl14_144 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1334,plain,
( spl14_189
| ~ spl14_3
| ~ spl14_4
| ~ spl14_144 ),
inference(avatar_split_clause,[],[f1013,f1004,f220,f215,f1331]) ).
fof(f1331,plain,
( spl14_189
<=> k12_nattra_1(sK2,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(sK2,sK2)),u2_cat_1(k12_nattra_1(sK2,sK2)),u3_cat_1(k12_nattra_1(sK2,sK2)),u4_cat_1(k12_nattra_1(sK2,sK2)),u5_cat_1(k12_nattra_1(sK2,sK2)),u6_cat_1(k12_nattra_1(sK2,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_189])]) ).
fof(f1013,plain,
( ~ v2_cat_1(sK2)
| k12_nattra_1(sK2,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(sK2,sK2)),u2_cat_1(k12_nattra_1(sK2,sK2)),u3_cat_1(k12_nattra_1(sK2,sK2)),u4_cat_1(k12_nattra_1(sK2,sK2)),u5_cat_1(k12_nattra_1(sK2,sK2)),u6_cat_1(k12_nattra_1(sK2,sK2)))
| ~ spl14_4
| ~ spl14_144 ),
inference(resolution,[],[f1005,f222]) ).
fof(f1324,plain,
( spl14_188
| ~ spl14_1
| ~ spl14_2
| ~ spl14_144 ),
inference(avatar_split_clause,[],[f1012,f1004,f210,f205,f1321]) ).
fof(f1321,plain,
( spl14_188
<=> k12_nattra_1(sK1,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(sK1,sK2)),u2_cat_1(k12_nattra_1(sK1,sK2)),u3_cat_1(k12_nattra_1(sK1,sK2)),u4_cat_1(k12_nattra_1(sK1,sK2)),u5_cat_1(k12_nattra_1(sK1,sK2)),u6_cat_1(k12_nattra_1(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_188])]) ).
fof(f1012,plain,
( ~ v2_cat_1(sK1)
| k12_nattra_1(sK1,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(sK1,sK2)),u2_cat_1(k12_nattra_1(sK1,sK2)),u3_cat_1(k12_nattra_1(sK1,sK2)),u4_cat_1(k12_nattra_1(sK1,sK2)),u5_cat_1(k12_nattra_1(sK1,sK2)),u6_cat_1(k12_nattra_1(sK1,sK2)))
| ~ spl14_2
| ~ spl14_144 ),
inference(resolution,[],[f1005,f212]) ).
fof(f1309,plain,
( ~ spl14_155
| ~ spl14_156
| ~ spl14_5
| ~ spl14_6
| ~ spl14_53
| spl14_147 ),
inference(avatar_split_clause,[],[f1047,f1034,f458,f230,f225,f1092,f1088]) ).
fof(f1088,plain,
( spl14_155
<=> v2_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
fof(f1092,plain,
( spl14_156
<=> l1_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_156])]) ).
fof(f1034,plain,
( spl14_147
<=> l1_cat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_147])]) ).
fof(f1047,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_53
| spl14_147 ),
inference(resolution,[],[f1036,f459]) ).
fof(f1036,plain,
( ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3))
| spl14_147 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1304,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_56
| spl14_156 ),
inference(avatar_split_clause,[],[f1172,f1092,f470,f220,f215,f210,f205]) ).
fof(f470,plain,
( spl14_56
<=> ! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f1172,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_56
| spl14_156 ),
inference(resolution,[],[f1094,f471]) ).
fof(f471,plain,
( ! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f1094,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| spl14_156 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1303,plain,
( spl14_187
| ~ spl14_5
| ~ spl14_6
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f1001,f991,f230,f225,f1300]) ).
fof(f1300,plain,
( spl14_187
<=> k12_nattra_1(sK3,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(sK3,sK1)),u2_cat_1(k12_nattra_1(sK3,sK1)),u3_cat_1(k12_nattra_1(sK3,sK1)),u4_cat_1(k12_nattra_1(sK3,sK1)),u5_cat_1(k12_nattra_1(sK3,sK1)),u6_cat_1(k12_nattra_1(sK3,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_187])]) ).
fof(f991,plain,
( spl14_143
<=> ! [X0] :
( k12_nattra_1(X0,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK1)),u2_cat_1(k12_nattra_1(X0,sK1)),u3_cat_1(k12_nattra_1(X0,sK1)),u4_cat_1(k12_nattra_1(X0,sK1)),u5_cat_1(k12_nattra_1(X0,sK1)),u6_cat_1(k12_nattra_1(X0,sK1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_143])]) ).
fof(f1001,plain,
( ~ v2_cat_1(sK3)
| k12_nattra_1(sK3,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(sK3,sK1)),u2_cat_1(k12_nattra_1(sK3,sK1)),u3_cat_1(k12_nattra_1(sK3,sK1)),u4_cat_1(k12_nattra_1(sK3,sK1)),u5_cat_1(k12_nattra_1(sK3,sK1)),u6_cat_1(k12_nattra_1(sK3,sK1)))
| ~ spl14_6
| ~ spl14_143 ),
inference(resolution,[],[f992,f232]) ).
fof(f992,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_nattra_1(X0,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK1)),u2_cat_1(k12_nattra_1(X0,sK1)),u3_cat_1(k12_nattra_1(X0,sK1)),u4_cat_1(k12_nattra_1(X0,sK1)),u5_cat_1(k12_nattra_1(X0,sK1)),u6_cat_1(k12_nattra_1(X0,sK1))) )
| ~ spl14_143 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1293,plain,
( spl14_186
| ~ spl14_3
| ~ spl14_4
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f1000,f991,f220,f215,f1290]) ).
fof(f1290,plain,
( spl14_186
<=> k12_nattra_1(sK2,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(sK2,sK1)),u2_cat_1(k12_nattra_1(sK2,sK1)),u3_cat_1(k12_nattra_1(sK2,sK1)),u4_cat_1(k12_nattra_1(sK2,sK1)),u5_cat_1(k12_nattra_1(sK2,sK1)),u6_cat_1(k12_nattra_1(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_186])]) ).
fof(f1000,plain,
( ~ v2_cat_1(sK2)
| k12_nattra_1(sK2,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(sK2,sK1)),u2_cat_1(k12_nattra_1(sK2,sK1)),u3_cat_1(k12_nattra_1(sK2,sK1)),u4_cat_1(k12_nattra_1(sK2,sK1)),u5_cat_1(k12_nattra_1(sK2,sK1)),u6_cat_1(k12_nattra_1(sK2,sK1)))
| ~ spl14_4
| ~ spl14_143 ),
inference(resolution,[],[f992,f222]) ).
fof(f1283,plain,
( spl14_185
| ~ spl14_1
| ~ spl14_2
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f999,f991,f210,f205,f1280]) ).
fof(f1280,plain,
( spl14_185
<=> k12_nattra_1(sK1,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(sK1,sK1)),u2_cat_1(k12_nattra_1(sK1,sK1)),u3_cat_1(k12_nattra_1(sK1,sK1)),u4_cat_1(k12_nattra_1(sK1,sK1)),u5_cat_1(k12_nattra_1(sK1,sK1)),u6_cat_1(k12_nattra_1(sK1,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_185])]) ).
fof(f999,plain,
( ~ v2_cat_1(sK1)
| k12_nattra_1(sK1,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(sK1,sK1)),u2_cat_1(k12_nattra_1(sK1,sK1)),u3_cat_1(k12_nattra_1(sK1,sK1)),u4_cat_1(k12_nattra_1(sK1,sK1)),u5_cat_1(k12_nattra_1(sK1,sK1)),u6_cat_1(k12_nattra_1(sK1,sK1)))
| ~ spl14_2
| ~ spl14_143 ),
inference(resolution,[],[f992,f212]) ).
fof(f1276,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_183
| ~ spl14_184
| ~ spl14_52
| spl14_148 ),
inference(avatar_split_clause,[],[f1048,f1038,f454,f1273,f1269,f210,f205]) ).
fof(f1038,plain,
( spl14_148
<=> v2_cat_1(k12_nattra_1(sK1,k12_nattra_1(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_148])]) ).
fof(f1048,plain,
( ~ l1_cat_1(k12_nattra_1(sK2,sK3))
| ~ v2_cat_1(k12_nattra_1(sK2,sK3))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_52
| spl14_148 ),
inference(resolution,[],[f1040,f455]) ).
fof(f1040,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
| spl14_148 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1267,plain,
( spl14_182
| ~ spl14_131
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f938,f931,f907,f1265]) ).
fof(f1265,plain,
( spl14_182
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)) = g1_cat_1(u1_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u2_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u3_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u4_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u5_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u6_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))))
| ~ v2_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_182])]) ).
fof(f907,plain,
( spl14_131
<=> ! [X0,X1] :
( k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_131])]) ).
fof(f931,plain,
( spl14_134
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| l1_cat_1(g1_cat_1(X1,X2,X3,X4,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_134])]) ).
fof(f938,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)) = g1_cat_1(u1_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u2_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u3_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u4_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u5_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))),u6_cat_1(k12_nattra_1(X5,g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))))
| ~ v2_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_131
| ~ spl14_134 ),
inference(resolution,[],[f932,f908]) ).
fof(f908,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_131 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f932,plain,
( ! [X2,X3,X0,X1,X4] :
( l1_cat_1(g1_cat_1(X1,X2,X3,X4,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_134 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f1263,plain,
( spl14_181
| ~ spl14_106
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f912,f907,f763,f1261]) ).
fof(f1261,plain,
( spl14_181
<=> ! [X3,X4,X0,X5,X2,X1] :
( k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5)) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u2_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u3_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u4_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u5_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u6_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))))
| ~ v2_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v1_funct_2(X5,X1,X2)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X5,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
fof(f763,plain,
( spl14_106
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| l1_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
fof(f912,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5)) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u2_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u3_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u4_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u5_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))),u6_cat_1(k12_nattra_1(X0,g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))))
| ~ v2_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X5))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v1_funct_2(X5,X1,X2)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X5,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_106
| ~ spl14_131 ),
inference(resolution,[],[f908,f764]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1,X4] :
( l1_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1259,plain,
( spl14_180
| ~ spl14_131
| ~ spl14_137 ),
inference(avatar_split_clause,[],[f952,f945,f907,f1257]) ).
fof(f1257,plain,
( spl14_180
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,u2_cat_1(X2))
| ~ v1_funct_2(X0,X1,u2_cat_1(X2))
| ~ v1_funct_1(X0)
| ~ l1_cat_1(X2)
| ~ v1_funct_1(u5_cat_1(X2))
| ~ m1_relset_1(X3,u2_cat_1(X2),X1)
| ~ v1_funct_2(X3,u2_cat_1(X2),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,u2_cat_1(X2),X1)
| ~ v1_funct_2(X4,u2_cat_1(X2),X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(u2_cat_1(X2))
| v1_xboole_0(X1)
| k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)) = g1_cat_1(u1_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u2_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u3_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u4_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u5_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u6_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))))
| ~ v2_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_180])]) ).
fof(f945,plain,
( spl14_137
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ m1_relset_1(X1,X2,u2_cat_1(X0))
| ~ v1_funct_2(X1,X2,u2_cat_1(X0))
| ~ v1_funct_1(X1)
| l1_cat_1(g1_cat_1(X2,u2_cat_1(X0),X3,X4,u5_cat_1(X0),X1))
| ~ v1_funct_1(u5_cat_1(X0))
| ~ m1_relset_1(X4,u2_cat_1(X0),X2)
| ~ v1_funct_2(X4,u2_cat_1(X0),X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u2_cat_1(X0),X2)
| ~ v1_funct_2(X3,u2_cat_1(X0),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(u2_cat_1(X0))
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
fof(f952,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,u2_cat_1(X2))
| ~ v1_funct_2(X0,X1,u2_cat_1(X2))
| ~ v1_funct_1(X0)
| ~ l1_cat_1(X2)
| ~ v1_funct_1(u5_cat_1(X2))
| ~ m1_relset_1(X3,u2_cat_1(X2),X1)
| ~ v1_funct_2(X3,u2_cat_1(X2),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,u2_cat_1(X2),X1)
| ~ v1_funct_2(X4,u2_cat_1(X2),X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(u2_cat_1(X2))
| v1_xboole_0(X1)
| k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)) = g1_cat_1(u1_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u2_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u3_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u4_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u5_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))),u6_cat_1(k12_nattra_1(X5,g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))))
| ~ v2_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_131
| ~ spl14_137 ),
inference(resolution,[],[f946,f908]) ).
fof(f946,plain,
( ! [X2,X3,X0,X1,X4] :
( l1_cat_1(g1_cat_1(X2,u2_cat_1(X0),X3,X4,u5_cat_1(X0),X1))
| ~ m1_relset_1(X1,X2,u2_cat_1(X0))
| ~ v1_funct_2(X1,X2,u2_cat_1(X0))
| ~ v1_funct_1(X1)
| ~ l1_cat_1(X0)
| ~ v1_funct_1(u5_cat_1(X0))
| ~ m1_relset_1(X4,u2_cat_1(X0),X2)
| ~ v1_funct_2(X4,u2_cat_1(X0),X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u2_cat_1(X0),X2)
| ~ v1_funct_2(X3,u2_cat_1(X0),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(u2_cat_1(X0))
| v1_xboole_0(X2) )
| ~ spl14_137 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f1253,plain,
( spl14_179
| ~ spl14_73
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f939,f935,f548,f1251]) ).
fof(f1251,plain,
( spl14_179
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ l1_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_179])]) ).
fof(f548,plain,
( spl14_73
<=> ! [X0] :
( g1_cat_1(u1_cat_1(X0),u2_cat_1(X0),u3_cat_1(X0),u4_cat_1(X0),u5_cat_1(X0),u6_cat_1(X0)) = X0
| ~ v1_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f935,plain,
( spl14_135
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_cat_1(g1_cat_1(X1,X2,X3,X4,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_135])]) ).
fof(f939,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ l1_cat_1(g1_cat_1(X1,X2,X4,X3,sK10(k2_zfmisc_1(X2,X2),X2),X0)) )
| ~ spl14_73
| ~ spl14_135 ),
inference(resolution,[],[f936,f549]) ).
fof(f549,plain,
( ! [X0] :
( ~ v1_cat_1(X0)
| g1_cat_1(u1_cat_1(X0),u2_cat_1(X0),u3_cat_1(X0),u4_cat_1(X0),u5_cat_1(X0),u6_cat_1(X0)) = X0
| ~ l1_cat_1(X0) )
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f936,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_cat_1(g1_cat_1(X1,X2,X3,X4,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_135 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f1247,plain,
( spl14_178
| ~ spl14_73
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f953,f949,f548,f1245]) ).
fof(f1245,plain,
( spl14_178
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,u2_cat_1(X2))
| ~ v1_funct_2(X0,X1,u2_cat_1(X2))
| ~ v1_funct_1(X0)
| ~ l1_cat_1(X2)
| ~ v1_funct_1(u5_cat_1(X2))
| ~ m1_relset_1(X3,u2_cat_1(X2),X1)
| ~ v1_funct_2(X3,u2_cat_1(X2),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,u2_cat_1(X2),X1)
| ~ v1_funct_2(X4,u2_cat_1(X2),X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(u2_cat_1(X2))
| v1_xboole_0(X1)
| g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u2_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u3_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u4_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u5_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u6_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)))
| ~ l1_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_178])]) ).
fof(f949,plain,
( spl14_138
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ m1_relset_1(X1,X2,u2_cat_1(X0))
| ~ v1_funct_2(X1,X2,u2_cat_1(X0))
| ~ v1_funct_1(X1)
| v1_cat_1(g1_cat_1(X2,u2_cat_1(X0),X3,X4,u5_cat_1(X0),X1))
| ~ v1_funct_1(u5_cat_1(X0))
| ~ m1_relset_1(X4,u2_cat_1(X0),X2)
| ~ v1_funct_2(X4,u2_cat_1(X0),X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u2_cat_1(X0),X2)
| ~ v1_funct_2(X3,u2_cat_1(X0),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(u2_cat_1(X0))
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_138])]) ).
fof(f953,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,u2_cat_1(X2))
| ~ v1_funct_2(X0,X1,u2_cat_1(X2))
| ~ v1_funct_1(X0)
| ~ l1_cat_1(X2)
| ~ v1_funct_1(u5_cat_1(X2))
| ~ m1_relset_1(X3,u2_cat_1(X2),X1)
| ~ v1_funct_2(X3,u2_cat_1(X2),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,u2_cat_1(X2),X1)
| ~ v1_funct_2(X4,u2_cat_1(X2),X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(u2_cat_1(X2))
| v1_xboole_0(X1)
| g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u2_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u3_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u4_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u5_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)),u6_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)))
| ~ l1_cat_1(g1_cat_1(X1,u2_cat_1(X2),X4,X3,u5_cat_1(X2),X0)) )
| ~ spl14_73
| ~ spl14_138 ),
inference(resolution,[],[f950,f549]) ).
fof(f950,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_cat_1(g1_cat_1(X2,u2_cat_1(X0),X3,X4,u5_cat_1(X0),X1))
| ~ m1_relset_1(X1,X2,u2_cat_1(X0))
| ~ v1_funct_2(X1,X2,u2_cat_1(X0))
| ~ v1_funct_1(X1)
| ~ l1_cat_1(X0)
| ~ v1_funct_1(u5_cat_1(X0))
| ~ m1_relset_1(X4,u2_cat_1(X0),X2)
| ~ v1_funct_2(X4,u2_cat_1(X0),X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u2_cat_1(X0),X2)
| ~ v1_funct_2(X3,u2_cat_1(X0),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(u2_cat_1(X0))
| v1_xboole_0(X2) )
| ~ spl14_138 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f1243,plain,
( spl14_177
| ~ spl14_106
| ~ spl14_142 ),
inference(avatar_split_clause,[],[f989,f985,f763,f1241]) ).
fof(f1241,plain,
( spl14_177
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ v1_funct_2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_177])]) ).
fof(f985,plain,
( spl14_142
<=> ! [X4,X0,X3,X2,X1] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ l1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_142])]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ v1_funct_2(X0,X1,X2) )
| ~ spl14_106
| ~ spl14_142 ),
inference(duplicate_literal_removal,[],[f988]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_106
| ~ spl14_142 ),
inference(resolution,[],[f986,f764]) ).
fof(f986,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ v1_funct_2(X0,X1,X2) )
| ~ spl14_142 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1239,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_55
| spl14_155 ),
inference(avatar_split_clause,[],[f1134,f1088,f466,f220,f215,f210,f205]) ).
fof(f466,plain,
( spl14_55
<=> ! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f1134,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_55
| spl14_155 ),
inference(resolution,[],[f1090,f467]) ).
fof(f467,plain,
( ! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_55 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f1090,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| spl14_155 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1234,plain,
( spl14_176
| ~ spl14_53
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f911,f907,f458,f1232]) ).
fof(f1232,plain,
( spl14_176
<=> ! [X2,X0,X1] :
( k12_nattra_1(X0,k12_nattra_1(X1,X2)) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u2_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u3_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u4_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u5_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u6_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))))
| ~ v2_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_176])]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( k12_nattra_1(X0,k12_nattra_1(X1,X2)) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u2_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u3_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u4_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u5_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))),u6_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2))))
| ~ v2_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_53
| ~ spl14_131 ),
inference(resolution,[],[f908,f459]) ).
fof(f1230,plain,
( spl14_175
| ~ spl14_56
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f910,f907,f470,f1228]) ).
fof(f1228,plain,
( spl14_175
<=> ! [X2,X0,X1] :
( k12_nattra_1(X0,k11_cat_2(X1,X2)) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u3_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u4_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u5_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u6_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_175])]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( k12_nattra_1(X0,k11_cat_2(X1,X2)) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u3_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u4_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u5_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))),u6_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2))))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_131 ),
inference(resolution,[],[f908,f471]) ).
fof(f1225,plain,
( spl14_174
| ~ spl14_76
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f899,f894,f563,f1223]) ).
fof(f1223,plain,
( spl14_174
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3)),u2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))))
| ~ r2_hidden(X0,k7_isocat_2(X1,X2,X3))
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_174])]) ).
fof(f563,plain,
( spl14_76
<=> ! [X2,X0,X1] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f894,plain,
( spl14_129
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)))
| ~ m2_cat_1(X1,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
fof(f899,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3)),u2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))))
| ~ r2_hidden(X0,k7_isocat_2(X1,X2,X3))
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_76
| ~ spl14_129 ),
inference(resolution,[],[f895,f564]) ).
fof(f564,plain,
( ! [X2,X0,X1] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_76 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X1,X2,X3)
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)))
| ~ r2_hidden(X0,X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f1219,plain,
( spl14_173
| ~ spl14_57
| ~ spl14_133 ),
inference(avatar_split_clause,[],[f929,f924,f475,f1217]) ).
fof(f1217,plain,
( spl14_173
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| r1_isocat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)),k12_nattra_1(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_173])]) ).
fof(f475,plain,
( spl14_57
<=> ! [X0,X1] :
( r1_isocat_1(X1,X0)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f924,plain,
( spl14_133
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_133])]) ).
fof(f929,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| r1_isocat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)),k12_nattra_1(k11_cat_2(X1,X0),X2)) )
| ~ spl14_57
| ~ spl14_133 ),
inference(duplicate_literal_removal,[],[f928]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| r1_isocat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)),k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2)) )
| ~ spl14_57
| ~ spl14_133 ),
inference(resolution,[],[f925,f476]) ).
fof(f476,plain,
( ! [X0,X1] :
( ~ r1_isocat_1(X0,X1)
| r1_isocat_1(X1,X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) )
| ~ spl14_133 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1213,plain,
( spl14_172
| ~ spl14_53
| ~ spl14_132 ),
inference(avatar_split_clause,[],[f922,f918,f458,f1211]) ).
fof(f1211,plain,
( spl14_172
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_funct_1(k7_isocat_2(X1,X0,X2))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k12_nattra_1(X0,X2))
| ~ v2_cat_1(k12_nattra_1(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_172])]) ).
fof(f918,plain,
( spl14_132
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_132])]) ).
fof(f922,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_funct_1(k7_isocat_2(X1,X0,X2))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k12_nattra_1(X0,X2))
| ~ v2_cat_1(k12_nattra_1(X0,X2)) )
| ~ spl14_53
| ~ spl14_132 ),
inference(duplicate_literal_removal,[],[f921]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_funct_1(k7_isocat_2(X1,X0,X2))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k12_nattra_1(X0,X2))
| ~ v2_cat_1(k12_nattra_1(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_53
| ~ spl14_132 ),
inference(resolution,[],[f919,f459]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ v2_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) )
| ~ spl14_132 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f1209,plain,
( ~ spl14_170
| spl14_171
| ~ spl14_9
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f916,f907,f245,f1207,f1203]) ).
fof(f1203,plain,
( spl14_170
<=> v2_cat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
fof(f1207,plain,
( spl14_171
<=> ! [X0] :
( k12_nattra_1(X0,sK12) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK12)),u2_cat_1(k12_nattra_1(X0,sK12)),u3_cat_1(k12_nattra_1(X0,sK12)),u4_cat_1(k12_nattra_1(X0,sK12)),u5_cat_1(k12_nattra_1(X0,sK12)),u6_cat_1(k12_nattra_1(X0,sK12)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_171])]) ).
fof(f245,plain,
( spl14_9
<=> l1_cat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f916,plain,
( ! [X0] :
( k12_nattra_1(X0,sK12) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK12)),u2_cat_1(k12_nattra_1(X0,sK12)),u3_cat_1(k12_nattra_1(X0,sK12)),u4_cat_1(k12_nattra_1(X0,sK12)),u5_cat_1(k12_nattra_1(X0,sK12)),u6_cat_1(k12_nattra_1(X0,sK12)))
| ~ v2_cat_1(sK12)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_9
| ~ spl14_131 ),
inference(resolution,[],[f908,f247]) ).
fof(f247,plain,
( l1_cat_1(sK12)
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f1196,plain,
( spl14_169
| ~ spl14_34
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f888,f885,f357,f1194]) ).
fof(f1194,plain,
( spl14_169
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u5_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_169])]) ).
fof(f357,plain,
( spl14_34
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f885,plain,
( spl14_127
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u5_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1)))
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_127])]) ).
fof(f888,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u5_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1))) )
| ~ spl14_34
| ~ spl14_127 ),
inference(resolution,[],[f886,f358]) ).
fof(f358,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f886,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1)))
| ~ r2_hidden(X0,u5_cat_1(X1))
| ~ l1_cat_1(X1) )
| ~ spl14_127 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f1191,plain,
( spl14_168
| ~ spl14_100
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f883,f879,f729,f1189]) ).
fof(f1189,plain,
( spl14_168
<=> ! [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,[spl14_168])]) ).
fof(f729,plain,
( spl14_100
<=> ! [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,[spl14_100])]) ).
fof(f879,plain,
( spl14_126
<=> ! [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,[spl14_126])]) ).
fof(f883,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) )
| ~ spl14_100
| ~ spl14_126 ),
inference(resolution,[],[f880,f730]) ).
fof(f730,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) )
| ~ spl14_100 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f880,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))) )
| ~ spl14_126 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f1186,plain,
( spl14_167
| ~ spl14_67
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f900,f894,f522,f1184]) ).
fof(f1184,plain,
( spl14_167
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK5(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ r1_isocat_1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).
fof(f522,plain,
( spl14_67
<=> ! [X0,X1] :
( m2_cat_1(sK5(X0,X1),X0,X1)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK5(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ r1_isocat_1(X1,X2) )
| ~ spl14_67
| ~ spl14_129 ),
inference(duplicate_literal_removal,[],[f898]) ).
fof(f898,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK5(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ r1_isocat_1(X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_67
| ~ spl14_129 ),
inference(resolution,[],[f895,f523]) ).
fof(f523,plain,
( ! [X0,X1] :
( m2_cat_1(sK5(X0,X1),X0,X1)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_67 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f1181,plain,
( spl14_166
| ~ spl14_59
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f901,f894,f486,f1179]) ).
fof(f1179,plain,
( spl14_166
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_166])]) ).
fof(f486,plain,
( spl14_59
<=> ! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f901,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_59
| ~ spl14_129 ),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f897,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_59
| ~ spl14_129 ),
inference(resolution,[],[f895,f487]) ).
fof(f487,plain,
( ! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f1160,plain,
( spl14_165
| ~ spl14_34
| ~ spl14_124 ),
inference(avatar_split_clause,[],[f866,f861,f357,f1158]) ).
fof(f1158,plain,
( spl14_165
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u6_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_165])]) ).
fof(f861,plain,
( spl14_124
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u6_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1)))
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_124])]) ).
fof(f866,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u6_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1))) )
| ~ spl14_34
| ~ spl14_124 ),
inference(resolution,[],[f862,f358]) ).
fof(f862,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1)))
| ~ r2_hidden(X0,u6_cat_1(X1))
| ~ l1_cat_1(X1) )
| ~ spl14_124 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1156,plain,
( spl14_164
| ~ spl14_34
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f865,f857,f357,f1154]) ).
fof(f1154,plain,
( spl14_164
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u4_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_164])]) ).
fof(f857,plain,
( spl14_123
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u4_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
fof(f865,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u4_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1))) )
| ~ spl14_34
| ~ spl14_123 ),
inference(resolution,[],[f858,f358]) ).
fof(f858,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| ~ r2_hidden(X0,u4_cat_1(X1))
| ~ l1_cat_1(X1) )
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f1152,plain,
( spl14_163
| ~ spl14_34
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f864,f853,f357,f1150]) ).
fof(f1150,plain,
( spl14_163
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u3_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_163])]) ).
fof(f853,plain,
( spl14_122
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u3_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
fof(f864,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u3_cat_1(X1))
| ~ l1_cat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1))) )
| ~ spl14_34
| ~ spl14_122 ),
inference(resolution,[],[f854,f358]) ).
fof(f854,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| ~ r2_hidden(X0,u3_cat_1(X1))
| ~ l1_cat_1(X1) )
| ~ spl14_122 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f1148,plain,
( spl14_162
| ~ spl14_100
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f832,f803,f729,f1146]) ).
fof(f1146,plain,
( spl14_162
<=> ! [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,[spl14_162])]) ).
fof(f803,plain,
( spl14_114
<=> ! [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,[spl14_114])]) ).
fof(f832,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) )
| ~ spl14_100
| ~ spl14_114 ),
inference(resolution,[],[f804,f730]) ).
fof(f804,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f1141,plain,
( spl14_161
| ~ spl14_47
| ~ spl14_113 ),
inference(avatar_split_clause,[],[f829,f799,f427,f1139]) ).
fof(f1139,plain,
( spl14_161
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
fof(f427,plain,
( spl14_47
<=> ! [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,[spl14_47])]) ).
fof(f799,plain,
( spl14_113
<=> ! [X0] :
( m1_subset_1(sK6(sK4(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).
fof(f829,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) )
| ~ spl14_47
| ~ spl14_113 ),
inference(resolution,[],[f800,f428]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f800,plain,
( ! [X0] :
( m1_subset_1(sK6(sK4(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK4(X0)) )
| ~ spl14_113 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f1130,plain,
( spl14_160
| ~ spl14_45
| ~ spl14_113 ),
inference(avatar_split_clause,[],[f828,f799,f409,f1128]) ).
fof(f1128,plain,
( spl14_160
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_160])]) ).
fof(f409,plain,
( spl14_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,[spl14_45])]) ).
fof(f828,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) )
| ~ spl14_45
| ~ spl14_113 ),
inference(resolution,[],[f800,f410]) ).
fof(f410,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f1126,plain,
( spl14_159
| ~ spl14_47
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f826,f795,f427,f1124]) ).
fof(f1124,plain,
( spl14_159
<=> ! [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,[spl14_159])]) ).
fof(f795,plain,
( spl14_112
<=> ! [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,[spl14_112])]) ).
fof(f826,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))))) )
| ~ spl14_47
| ~ spl14_112 ),
inference(resolution,[],[f796,f428]) ).
fof(f796,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl14_112 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1118,plain,
( spl14_158
| ~ spl14_94
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f831,f803,f682,f1116]) ).
fof(f1116,plain,
( spl14_158
<=> ! [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,[spl14_158])]) ).
fof(f682,plain,
( spl14_94
<=> ! [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,[spl14_94])]) ).
fof(f831,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) )
| ~ spl14_94
| ~ spl14_114 ),
inference(resolution,[],[f804,f683]) ).
fof(f683,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl14_94 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f1114,plain,
( spl14_157
| ~ spl14_45
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f825,f795,f409,f1112]) ).
fof(f1112,plain,
( spl14_157
<=> ! [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,[spl14_157])]) ).
fof(f825,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))))) )
| ~ spl14_45
| ~ spl14_112 ),
inference(resolution,[],[f796,f410]) ).
fof(f1095,plain,
( ~ spl14_155
| ~ spl14_156
| ~ spl14_5
| ~ spl14_6
| ~ spl14_52
| spl14_146 ),
inference(avatar_split_clause,[],[f1046,f1030,f454,f230,f225,f1092,f1088]) ).
fof(f1030,plain,
( spl14_146
<=> v2_cat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_146])]) ).
fof(f1046,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_52
| spl14_146 ),
inference(resolution,[],[f1032,f455]) ).
fof(f1032,plain,
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3))
| spl14_146 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1086,plain,
( spl14_154
| ~ spl14_80
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f834,f821,f607,f1084]) ).
fof(f1084,plain,
( spl14_154
<=> ! [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,[spl14_154])]) ).
fof(f607,plain,
( spl14_80
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
fof(f821,plain,
( spl14_117
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_117])]) ).
fof(f834,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl14_80
| ~ spl14_117 ),
inference(resolution,[],[f822,f608]) ).
fof(f608,plain,
( ! [X0] :
( r2_hidden(sK6(X0),X0)
| v1_xboole_0(X0) )
| ~ spl14_80 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_117 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1082,plain,
( spl14_153
| ~ spl14_80
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f833,f817,f607,f1080]) ).
fof(f1080,plain,
( spl14_153
<=> ! [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,[spl14_153])]) ).
fof(f817,plain,
( spl14_116
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
fof(f833,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl14_80
| ~ spl14_116 ),
inference(resolution,[],[f818,f608]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_116 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1078,plain,
( spl14_152
| ~ spl14_34
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f824,f795,f357,f1076]) ).
fof(f1076,plain,
( spl14_152
<=> ! [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,[spl14_152])]) ).
fof(f824,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) )
| ~ spl14_34
| ~ spl14_112 ),
inference(resolution,[],[f796,f358]) ).
fof(f1063,plain,
( spl14_151
| ~ spl14_34
| ~ spl14_113 ),
inference(avatar_split_clause,[],[f830,f799,f357,f1061]) ).
fof(f1061,plain,
( spl14_151
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK4(X0))
| r2_hidden(sK6(sK4(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_151])]) ).
fof(f830,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK4(X0))
| r2_hidden(sK6(sK4(X0)),X0) )
| ~ spl14_34
| ~ spl14_113 ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f827,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK4(X0))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK4(X0)),X0) )
| ~ spl14_34
| ~ spl14_113 ),
inference(resolution,[],[f800,f358]) ).
fof(f1053,plain,
( spl14_150
| ~ spl14_33
| ~ spl14_93 ),
inference(avatar_split_clause,[],[f745,f676,f349,f1051]) ).
fof(f1051,plain,
( spl14_150
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
fof(f349,plain,
( spl14_33
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f745,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl14_33
| ~ spl14_93 ),
inference(resolution,[],[f677,f350]) ).
fof(f350,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f1045,plain,
( ~ spl14_146
| ~ spl14_147
| ~ spl14_148
| ~ spl14_149
| ~ spl14_6
| ~ spl14_5
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_11
| ~ spl14_133 ),
inference(avatar_split_clause,[],[f927,f924,f255,f220,f215,f210,f205,f225,f230,f1042,f1038,f1034,f1030]) ).
fof(f255,plain,
( spl14_11
<=> r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3),k12_nattra_1(sK1,k12_nattra_1(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f927,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| ~ l1_cat_1(k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
| ~ v2_cat_1(k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3))
| spl14_11
| ~ spl14_133 ),
inference(resolution,[],[f925,f257]) ).
fof(f257,plain,
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3),k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
| spl14_11 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f1019,plain,
( ~ spl14_5
| spl14_145
| ~ spl14_6
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f915,f907,f230,f1017,f225]) ).
fof(f915,plain,
( ! [X0] :
( k12_nattra_1(X0,sK3) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK3)),u2_cat_1(k12_nattra_1(X0,sK3)),u3_cat_1(k12_nattra_1(X0,sK3)),u4_cat_1(k12_nattra_1(X0,sK3)),u5_cat_1(k12_nattra_1(X0,sK3)),u6_cat_1(k12_nattra_1(X0,sK3)))
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_131 ),
inference(resolution,[],[f908,f232]) ).
fof(f1006,plain,
( ~ spl14_3
| spl14_144
| ~ spl14_4
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f914,f907,f220,f1004,f215]) ).
fof(f914,plain,
( ! [X0] :
( k12_nattra_1(X0,sK2) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK2)),u2_cat_1(k12_nattra_1(X0,sK2)),u3_cat_1(k12_nattra_1(X0,sK2)),u4_cat_1(k12_nattra_1(X0,sK2)),u5_cat_1(k12_nattra_1(X0,sK2)),u6_cat_1(k12_nattra_1(X0,sK2)))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_131 ),
inference(resolution,[],[f908,f222]) ).
fof(f993,plain,
( ~ spl14_1
| spl14_143
| ~ spl14_2
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f913,f907,f210,f991,f205]) ).
fof(f913,plain,
( ! [X0] :
( k12_nattra_1(X0,sK1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,sK1)),u2_cat_1(k12_nattra_1(X0,sK1)),u3_cat_1(k12_nattra_1(X0,sK1)),u4_cat_1(k12_nattra_1(X0,sK1)),u5_cat_1(k12_nattra_1(X0,sK1)),u6_cat_1(k12_nattra_1(X0,sK1)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_131 ),
inference(resolution,[],[f908,f212]) ).
fof(f987,plain,
( spl14_142
| ~ spl14_73
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f766,f759,f548,f985]) ).
fof(f759,plain,
( spl14_105
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
fof(f766,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0) = g1_cat_1(u1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u2_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u3_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u4_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u5_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)),u6_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)))
| ~ l1_cat_1(g1_cat_1(X1,X2,X4,X3,sK9(k2_zfmisc_1(X2,X2),X2),X0)) )
| ~ spl14_73
| ~ spl14_105 ),
inference(resolution,[],[f760,f549]) ).
fof(f760,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_105 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f977,plain,
( spl14_141
| ~ spl14_98
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f771,f768,f711,f975]) ).
fof(f975,plain,
( spl14_141
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,u2_cat_1(X2))
| ~ v1_funct_2(X0,X1,u2_cat_1(X2))
| ~ v1_funct_1(X0)
| sP0(X0,X0,u5_cat_1(X2),u5_cat_1(X2),X3,X3,X4,X4,u2_cat_1(X2),u2_cat_1(X2),X1,X1)
| ~ v1_funct_1(u5_cat_1(X2))
| ~ m1_relset_1(X3,u2_cat_1(X2),X1)
| ~ v1_funct_2(X3,u2_cat_1(X2),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,u2_cat_1(X2),X1)
| ~ v1_funct_2(X4,u2_cat_1(X2),X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(u2_cat_1(X2))
| v1_xboole_0(X1)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).
fof(f711,plain,
( spl14_98
<=> ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
fof(f768,plain,
( spl14_107
<=> ! [X3,X4,X0,X5,X2,X1] :
( sP0(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4,X5,X5)
| ~ m1_relset_1(X0,X5,X4)
| ~ v1_funct_2(X0,X5,X4)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,X4,X5)
| ~ v1_funct_2(X2,X4,X5)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X3,X4,X5)
| ~ v1_funct_2(X3,X4,X5)
| ~ v1_funct_1(X3)
| v1_xboole_0(X4)
| v1_xboole_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
fof(f771,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,u2_cat_1(X2))
| ~ v1_funct_2(X0,X1,u2_cat_1(X2))
| ~ v1_funct_1(X0)
| sP0(X0,X0,u5_cat_1(X2),u5_cat_1(X2),X3,X3,X4,X4,u2_cat_1(X2),u2_cat_1(X2),X1,X1)
| ~ v1_funct_1(u5_cat_1(X2))
| ~ m1_relset_1(X3,u2_cat_1(X2),X1)
| ~ v1_funct_2(X3,u2_cat_1(X2),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,u2_cat_1(X2),X1)
| ~ v1_funct_2(X4,u2_cat_1(X2),X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(u2_cat_1(X2))
| v1_xboole_0(X1)
| ~ l1_cat_1(X2) )
| ~ spl14_98
| ~ spl14_107 ),
inference(resolution,[],[f769,f712]) ).
fof(f712,plain,
( ! [X0] :
( m1_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_98 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X0,X5,X4)
| ~ v1_funct_2(X0,X5,X4)
| ~ v1_funct_1(X0)
| sP0(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4,X5,X5)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,X4,X5)
| ~ v1_funct_2(X2,X4,X5)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X3,X4,X5)
| ~ v1_funct_2(X3,X4,X5)
| ~ v1_funct_1(X3)
| v1_xboole_0(X4)
| v1_xboole_0(X5) )
| ~ spl14_107 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f961,plain,
( spl14_140
| ~ spl14_81
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f773,f768,f611,f959]) ).
fof(f959,plain,
( spl14_140
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| sP0(X0,X0,sK10(k2_zfmisc_1(X2,X2),X2),sK10(k2_zfmisc_1(X2,X2),X2),X3,X3,X4,X4,X2,X2,X1,X1)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_140])]) ).
fof(f611,plain,
( spl14_81
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f773,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| sP0(X0,X0,sK10(k2_zfmisc_1(X2,X2),X2),sK10(k2_zfmisc_1(X2,X2),X2),X3,X3,X4,X4,X2,X2,X1,X1)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_81
| ~ spl14_107 ),
inference(resolution,[],[f769,f612]) ).
fof(f612,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl14_81 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f957,plain,
( spl14_139
| ~ spl14_28
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f772,f768,f328,f955]) ).
fof(f955,plain,
( spl14_139
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| sP0(X0,X0,sK9(k2_zfmisc_1(X2,X2),X2),sK9(k2_zfmisc_1(X2,X2),X2),X3,X3,X4,X4,X2,X2,X1,X1)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_139])]) ).
fof(f328,plain,
( spl14_28
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f772,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| sP0(X0,X0,sK9(k2_zfmisc_1(X2,X2),X2),sK9(k2_zfmisc_1(X2,X2),X2),X3,X3,X4,X4,X2,X2,X1,X1)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_28
| ~ spl14_107 ),
inference(resolution,[],[f769,f329]) ).
fof(f329,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl14_28 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f951,plain,
( spl14_138
| ~ spl14_77
| ~ spl14_98 ),
inference(avatar_split_clause,[],[f726,f711,f589,f949]) ).
fof(f589,plain,
( spl14_77
<=> ! [X3,X4,X0,X5,X2,X1] :
( v1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ m1_relset_1(X1,X2,u2_cat_1(X0))
| ~ v1_funct_2(X1,X2,u2_cat_1(X0))
| ~ v1_funct_1(X1)
| v1_cat_1(g1_cat_1(X2,u2_cat_1(X0),X3,X4,u5_cat_1(X0),X1))
| ~ v1_funct_1(u5_cat_1(X0))
| ~ m1_relset_1(X4,u2_cat_1(X0),X2)
| ~ v1_funct_2(X4,u2_cat_1(X0),X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u2_cat_1(X0),X2)
| ~ v1_funct_2(X3,u2_cat_1(X0),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(u2_cat_1(X0))
| v1_xboole_0(X2) )
| ~ spl14_77
| ~ spl14_98 ),
inference(resolution,[],[f712,f590]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| v1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl14_77 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f947,plain,
( spl14_137
| ~ spl14_78
| ~ spl14_98 ),
inference(avatar_split_clause,[],[f725,f711,f593,f945]) ).
fof(f593,plain,
( spl14_78
<=> ! [X3,X4,X0,X5,X2,X1] :
( l1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f725,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ m1_relset_1(X1,X2,u2_cat_1(X0))
| ~ v1_funct_2(X1,X2,u2_cat_1(X0))
| ~ v1_funct_1(X1)
| l1_cat_1(g1_cat_1(X2,u2_cat_1(X0),X3,X4,u5_cat_1(X0),X1))
| ~ v1_funct_1(u5_cat_1(X0))
| ~ m1_relset_1(X4,u2_cat_1(X0),X2)
| ~ v1_funct_2(X4,u2_cat_1(X0),X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u2_cat_1(X0),X2)
| ~ v1_funct_2(X3,u2_cat_1(X0),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(u2_cat_1(X0))
| v1_xboole_0(X2) )
| ~ spl14_78
| ~ spl14_98 ),
inference(resolution,[],[f712,f594]) ).
fof(f594,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| l1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f943,plain,
( spl14_136
| ~ spl14_80
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f793,f789,f607,f941]) ).
fof(f941,plain,
( spl14_136
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_136])]) ).
fof(f789,plain,
( spl14_111
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_111])]) ).
fof(f793,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl14_80
| ~ spl14_111 ),
inference(resolution,[],[f790,f608]) ).
fof(f790,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK10(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl14_111 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f937,plain,
( spl14_135
| ~ spl14_77
| ~ spl14_81 ),
inference(avatar_split_clause,[],[f624,f611,f589,f935]) ).
fof(f624,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_cat_1(g1_cat_1(X1,X2,X3,X4,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_77
| ~ spl14_81 ),
inference(resolution,[],[f612,f590]) ).
fof(f933,plain,
( spl14_134
| ~ spl14_78
| ~ spl14_81 ),
inference(avatar_split_clause,[],[f623,f611,f593,f931]) ).
fof(f623,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| l1_cat_1(g1_cat_1(X1,X2,X3,X4,sK10(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_78
| ~ spl14_81 ),
inference(resolution,[],[f612,f594]) ).
fof(f926,plain,
( spl14_133
| ~ spl14_76
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f783,f779,f563,f924]) ).
fof(f779,plain,
( spl14_109
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ m2_cat_1(k7_isocat_2(X2,X1,X0),k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_109])]) ).
fof(f783,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) )
| ~ spl14_76
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f782]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_76
| ~ spl14_109 ),
inference(resolution,[],[f780,f564]) ).
fof(f780,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(k7_isocat_2(X2,X1,X0),k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) )
| ~ spl14_109 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f920,plain,
( spl14_132
| ~ spl14_53
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f757,f751,f458,f918]) ).
fof(f751,plain,
( spl14_104
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_104])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) )
| ~ spl14_53
| ~ spl14_104 ),
inference(duplicate_literal_removal,[],[f756]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) )
| ~ spl14_53
| ~ spl14_104 ),
inference(resolution,[],[f752,f459]) ).
fof(f752,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) )
| ~ spl14_104 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f909,plain,
( spl14_131
| ~ spl14_53
| ~ spl14_103 ),
inference(avatar_split_clause,[],[f755,f747,f458,f907]) ).
fof(f747,plain,
( spl14_103
<=> ! [X0,X1] :
( k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_103])]) ).
fof(f755,plain,
( ! [X0,X1] :
( k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_53
| ~ spl14_103 ),
inference(duplicate_literal_removal,[],[f754]) ).
fof(f754,plain,
( ! [X0,X1] :
( k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_53
| ~ spl14_103 ),
inference(resolution,[],[f748,f459]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ l1_cat_1(k12_nattra_1(X0,X1))
| k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_103 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f905,plain,
( spl14_130
| ~ spl14_80
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f792,f785,f607,f903]) ).
fof(f903,plain,
( spl14_130
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).
fof(f785,plain,
( spl14_110
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_110])]) ).
fof(f792,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl14_80
| ~ spl14_110 ),
inference(resolution,[],[f786,f608]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl14_110 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f896,plain,
( spl14_129
| ~ spl14_72
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f718,f707,f543,f894]) ).
fof(f543,plain,
( spl14_72
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f707,plain,
( spl14_97
<=> ! [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,[spl14_97])]) ).
fof(f718,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)))
| ~ m2_cat_1(X1,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_72
| ~ spl14_97 ),
inference(resolution,[],[f708,f544]) ).
fof(f544,plain,
( ! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_72 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f708,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_97 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f892,plain,
( spl14_128
| ~ spl14_72
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f699,f696,f543,f890]) ).
fof(f890,plain,
( spl14_128
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1)))
| ~ r2_hidden(X2,X3)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_128])]) ).
fof(f696,plain,
( spl14_96
<=> ! [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,[spl14_96])]) ).
fof(f699,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1)))
| ~ r2_hidden(X2,X3)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_72
| ~ spl14_96 ),
inference(resolution,[],[f697,f544]) ).
fof(f697,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl14_96 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f887,plain,
( spl14_127
| ~ spl14_50
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f721,f707,f446,f885]) ).
fof(f446,plain,
( spl14_50
<=> ! [X0] :
( m2_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u5_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X1)),u2_cat_1(X1)))
| ~ l1_cat_1(X1) )
| ~ spl14_50
| ~ spl14_97 ),
inference(resolution,[],[f708,f447]) ).
fof(f447,plain,
( ! [X0] :
( m2_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f881,plain,
( spl14_126
| ~ spl14_26
| ~ spl14_100 ),
inference(avatar_split_clause,[],[f738,f729,f320,f879]) ).
fof(f320,plain,
( spl14_26
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f738,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) )
| ~ spl14_26
| ~ spl14_100 ),
inference(resolution,[],[f730,f321]) ).
fof(f321,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f877,plain,
( spl14_125
| ~ spl14_50
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f702,f696,f446,f875]) ).
fof(f875,plain,
( spl14_125
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0)))
| ~ r2_hidden(X1,u5_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_125])]) ).
fof(f702,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0)))
| ~ r2_hidden(X1,u5_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_50
| ~ spl14_96 ),
inference(resolution,[],[f697,f447]) ).
fof(f863,plain,
( spl14_124
| ~ spl14_39
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f722,f707,f385,f861]) ).
fof(f385,plain,
( spl14_39
<=> ! [X0] :
( m2_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f722,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u6_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_cat_1(X1),u2_cat_1(X1)))
| ~ l1_cat_1(X1) )
| ~ spl14_39
| ~ spl14_97 ),
inference(resolution,[],[f708,f386]) ).
fof(f386,plain,
( ! [X0] :
( m2_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f859,plain,
( spl14_123
| ~ spl14_44
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f720,f707,f405,f857]) ).
fof(f405,plain,
( spl14_44
<=> ! [X0] :
( m2_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u4_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| ~ l1_cat_1(X1) )
| ~ spl14_44
| ~ spl14_97 ),
inference(resolution,[],[f708,f406]) ).
fof(f406,plain,
( ! [X0] :
( m2_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f855,plain,
( spl14_122
| ~ spl14_41
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f719,f707,f393,f853]) ).
fof(f393,plain,
( spl14_41
<=> ! [X0] :
( m2_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u3_cat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u1_cat_1(X1)))
| ~ l1_cat_1(X1) )
| ~ spl14_41
| ~ spl14_97 ),
inference(resolution,[],[f708,f394]) ).
fof(f394,plain,
( ! [X0] :
( m2_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f851,plain,
( spl14_121
| ~ spl14_39
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f703,f696,f385,f849]) ).
fof(f849,plain,
( spl14_121
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_cat_1(X0),u2_cat_1(X0)))
| ~ r2_hidden(X1,u6_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_121])]) ).
fof(f703,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_cat_1(X0),u2_cat_1(X0)))
| ~ r2_hidden(X1,u6_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_39
| ~ spl14_96 ),
inference(resolution,[],[f697,f386]) ).
fof(f847,plain,
( spl14_120
| ~ spl14_7
| ~ spl14_30
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f814,f775,f336,f235,f844]) ).
fof(f844,plain,
( spl14_120
<=> sK13 = sK6(k1_zfmisc_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_120])]) ).
fof(f235,plain,
( spl14_7
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f336,plain,
( spl14_30
<=> k1_xboole_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f814,plain,
( sK13 = sK6(k1_zfmisc_1(sK13))
| ~ spl14_7
| ~ spl14_30
| ~ spl14_108 ),
inference(forward_demodulation,[],[f810,f338]) ).
fof(f338,plain,
( k1_xboole_0 = sK13
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f810,plain,
( sK13 = sK6(k1_zfmisc_1(k1_xboole_0))
| ~ spl14_7
| ~ spl14_108 ),
inference(resolution,[],[f776,f237]) ).
fof(f237,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f842,plain,
( spl14_119
| ~ spl14_44
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f701,f696,f405,f840]) ).
fof(f840,plain,
( spl14_119
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u1_cat_1(X0)))
| ~ r2_hidden(X1,u4_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
fof(f701,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u1_cat_1(X0)))
| ~ r2_hidden(X1,u4_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_44
| ~ spl14_96 ),
inference(resolution,[],[f697,f406]) ).
fof(f838,plain,
( spl14_118
| ~ spl14_41
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f700,f696,f393,f836]) ).
fof(f836,plain,
( spl14_118
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u1_cat_1(X0)))
| ~ r2_hidden(X1,u3_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_118])]) ).
fof(f700,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u1_cat_1(X0)))
| ~ r2_hidden(X1,u3_cat_1(X0))
| ~ l1_cat_1(X0) )
| ~ spl14_41
| ~ spl14_96 ),
inference(resolution,[],[f697,f394]) ).
fof(f823,plain,
( spl14_117
| ~ spl14_29
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f724,f707,f332,f821]) ).
fof(f332,plain,
( spl14_29
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f724,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_29
| ~ spl14_97 ),
inference(resolution,[],[f708,f333]) ).
fof(f333,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f819,plain,
( spl14_116
| ~ spl14_82
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f723,f707,f615,f817]) ).
fof(f615,plain,
( spl14_82
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f723,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_82
| ~ spl14_97 ),
inference(resolution,[],[f708,f616]) ).
fof(f616,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl14_82 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f809,plain,
( spl14_115
| ~ spl14_26
| ~ spl14_95 ),
inference(avatar_split_clause,[],[f694,f686,f320,f807]) ).
fof(f807,plain,
( spl14_115
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_115])]) ).
fof(f686,plain,
( spl14_95
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_95])]) ).
fof(f694,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK4(X0)) )
| ~ spl14_26
| ~ spl14_95 ),
inference(resolution,[],[f687,f321]) ).
fof(f687,plain,
( ! [X0] :
( r2_hidden(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl14_95 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f805,plain,
( spl14_114
| ~ spl14_26
| ~ spl14_94 ),
inference(avatar_split_clause,[],[f691,f682,f320,f803]) ).
fof(f691,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl14_26
| ~ spl14_94 ),
inference(resolution,[],[f683,f321]) ).
fof(f801,plain,
( spl14_113
| ~ spl14_80
| ~ spl14_92 ),
inference(avatar_split_clause,[],[f680,f669,f607,f799]) ).
fof(f669,plain,
( spl14_92
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK4(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).
fof(f680,plain,
( ! [X0] :
( m1_subset_1(sK6(sK4(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK4(X0)) )
| ~ spl14_80
| ~ spl14_92 ),
inference(resolution,[],[f670,f608]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK4(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl14_92 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f797,plain,
( spl14_112
| ~ spl14_80
| ~ spl14_86 ),
inference(avatar_split_clause,[],[f651,f643,f607,f795]) ).
fof(f643,plain,
( spl14_86
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f651,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl14_80
| ~ spl14_86 ),
inference(resolution,[],[f644,f608]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl14_86 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f791,plain,
( spl14_111
| ~ spl14_29
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f705,f696,f332,f789]) ).
fof(f705,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) )
| ~ spl14_29
| ~ spl14_96 ),
inference(resolution,[],[f697,f333]) ).
fof(f787,plain,
( spl14_110
| ~ spl14_82
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f704,f696,f615,f785]) ).
fof(f704,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) )
| ~ spl14_82
| ~ spl14_96 ),
inference(resolution,[],[f697,f616]) ).
fof(f781,plain,
( spl14_109
| ~ spl14_74
| ~ spl14_75 ),
inference(avatar_split_clause,[],[f586,f559,f552,f779]) ).
fof(f552,plain,
( spl14_74
<=> ! [X2,X0,X1] :
( r1_isocat_1(X0,X1)
| ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f559,plain,
( spl14_75
<=> ! [X2,X0,X1] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| r1_isocat_1(k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ m2_cat_1(k7_isocat_2(X2,X1,X0),k12_nattra_1(k11_cat_2(X2,X1),X0),k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) )
| ~ spl14_74
| ~ spl14_75 ),
inference(resolution,[],[f560,f553]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ v8_cat_1(X2,X0,X1)
| r1_isocat_1(X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_74 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f560,plain,
( ! [X2,X0,X1] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_75 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f777,plain,
( spl14_108
| ~ spl14_66
| ~ spl14_93 ),
inference(avatar_split_clause,[],[f744,f676,f518,f775]) ).
fof(f518,plain,
( spl14_66
<=> ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f744,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = sK6(k1_zfmisc_1(X0)) )
| ~ spl14_66
| ~ spl14_93 ),
inference(resolution,[],[f677,f519]) ).
fof(f519,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = X0 )
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f770,plain,
( spl14_107
| ~ spl14_79 ),
inference(avatar_split_clause,[],[f602,f599,f768]) ).
fof(f599,plain,
( spl14_79
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( sP0(X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0)
| g1_cat_1(X0,X1,X2,X3,X4,X5) != g1_cat_1(X6,X7,X8,X9,X10,X11)
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sP0(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4,X5,X5)
| ~ m1_relset_1(X0,X5,X4)
| ~ v1_funct_2(X0,X5,X4)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,X4,X5)
| ~ v1_funct_2(X2,X4,X5)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X3,X4,X5)
| ~ v1_funct_2(X3,X4,X5)
| ~ v1_funct_1(X3)
| v1_xboole_0(X4)
| v1_xboole_0(X5) )
| ~ spl14_79 ),
inference(equality_resolution,[],[f600]) ).
fof(f600,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( g1_cat_1(X0,X1,X2,X3,X4,X5) != g1_cat_1(X6,X7,X8,X9,X10,X11)
| sP0(X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0)
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl14_79 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f765,plain,
( spl14_106
| ~ spl14_28
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f597,f593,f328,f763]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| l1_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_28
| ~ spl14_78 ),
inference(resolution,[],[f594,f329]) ).
fof(f761,plain,
( spl14_105
| ~ spl14_28
| ~ spl14_77 ),
inference(avatar_split_clause,[],[f596,f589,f328,f759]) ).
fof(f596,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_cat_1(g1_cat_1(X1,X2,X3,X4,sK9(k2_zfmisc_1(X2,X2),X2),X0))
| ~ v1_funct_1(sK9(k2_zfmisc_1(X2,X2),X2))
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl14_28
| ~ spl14_77 ),
inference(resolution,[],[f590,f329]) ).
fof(f753,plain,
( spl14_104
| ~ spl14_58
| ~ spl14_76 ),
inference(avatar_split_clause,[],[f587,f563,f479,f751]) ).
fof(f479,plain,
( spl14_58
<=> ! [X2,X0,X1] :
( v1_funct_1(X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f587,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| v1_funct_1(k7_isocat_2(X2,X1,X0))
| ~ l1_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X2,k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X2,X1),X0)) )
| ~ spl14_58
| ~ spl14_76 ),
inference(resolution,[],[f564,f480]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,X1)
| v1_funct_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f749,plain,
( spl14_103
| ~ spl14_51
| ~ spl14_73 ),
inference(avatar_split_clause,[],[f555,f548,f450,f747]) ).
fof(f450,plain,
( spl14_51
<=> ! [X0,X1] :
( v1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f555,plain,
( ! [X0,X1] :
( k12_nattra_1(X0,X1) = g1_cat_1(u1_cat_1(k12_nattra_1(X0,X1)),u2_cat_1(k12_nattra_1(X0,X1)),u3_cat_1(k12_nattra_1(X0,X1)),u4_cat_1(k12_nattra_1(X0,X1)),u5_cat_1(k12_nattra_1(X0,X1)),u6_cat_1(k12_nattra_1(X0,X1)))
| ~ l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_51
| ~ spl14_73 ),
inference(resolution,[],[f549,f451]) ).
fof(f451,plain,
( ! [X0,X1] :
( v1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_51 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f742,plain,
( spl14_102
| ~ spl14_36
| ~ spl14_72 ),
inference(avatar_split_clause,[],[f546,f543,f366,f740]) ).
fof(f740,plain,
( spl14_102
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).
fof(f366,plain,
( spl14_36
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f546,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2)) )
| ~ spl14_36
| ~ spl14_72 ),
inference(resolution,[],[f544,f367]) ).
fof(f367,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f735,plain,
( spl14_101
| ~ spl14_58
| ~ spl14_67 ),
inference(avatar_split_clause,[],[f530,f522,f479,f733]) ).
fof(f733,plain,
( spl14_101
<=> ! [X0,X1] :
( ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v1_funct_1(sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_101])]) ).
fof(f530,plain,
( ! [X0,X1] :
( ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v1_funct_1(sK5(X0,X1)) )
| ~ spl14_58
| ~ spl14_67 ),
inference(duplicate_literal_removal,[],[f529]) ).
fof(f529,plain,
( ! [X0,X1] :
( ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v1_funct_1(sK5(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_67 ),
inference(resolution,[],[f523,f480]) ).
fof(f731,plain,
( spl14_100
| ~ spl14_34
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f431,f423,f357,f729]) ).
fof(f423,plain,
( spl14_46
<=> ! [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,[spl14_46])]) ).
fof(f431,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))) )
| ~ spl14_34
| ~ spl14_46 ),
inference(resolution,[],[f424,f358]) ).
fof(f424,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f717,plain,
( spl14_99
| ~ spl14_58
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f492,f486,f479,f715]) ).
fof(f715,plain,
( spl14_99
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_funct_1(sK8(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_99])]) ).
fof(f492,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_funct_1(sK8(X1,X0)) )
| ~ spl14_58
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f491,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_funct_1(sK8(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_59 ),
inference(resolution,[],[f487,f480]) ).
fof(f713,plain,
( spl14_98
| ~ spl14_36
| ~ spl14_50 ),
inference(avatar_split_clause,[],[f473,f446,f366,f711]) ).
fof(f473,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0)) )
| ~ spl14_36
| ~ spl14_50 ),
inference(resolution,[],[f447,f367]) ).
fof(f709,plain,
( spl14_97
| ~ spl14_46
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f433,f427,f423,f707]) ).
fof(f433,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl14_46
| ~ spl14_47 ),
inference(resolution,[],[f428,f424]) ).
fof(f698,plain,
( spl14_96
| ~ spl14_45
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f430,f423,f409,f696]) ).
fof(f430,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl14_45
| ~ spl14_46 ),
inference(resolution,[],[f424,f410]) ).
fof(f688,plain,
( spl14_95
| ~ spl14_31
| ~ spl14_34 ),
inference(avatar_split_clause,[],[f374,f357,f341,f686]) ).
fof(f341,plain,
( spl14_31
<=> ! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f374,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl14_31
| ~ spl14_34 ),
inference(resolution,[],[f358,f342]) ).
fof(f342,plain,
( ! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f684,plain,
( spl14_94
| ~ spl14_32
| ~ spl14_34 ),
inference(avatar_split_clause,[],[f373,f357,f345,f682]) ).
fof(f345,plain,
( spl14_32
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f373,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl14_32
| ~ spl14_34 ),
inference(resolution,[],[f358,f346]) ).
fof(f346,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f678,plain,
( spl14_93
| ~ spl14_80
| ~ spl14_84 ),
inference(avatar_split_clause,[],[f637,f631,f607,f676]) ).
fof(f631,plain,
( spl14_84
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f637,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl14_80
| ~ spl14_84 ),
inference(resolution,[],[f632,f608]) ).
fof(f632,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f671,plain,
( spl14_92
| ~ spl14_31
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f434,f427,f341,f669]) ).
fof(f434,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK4(X1))
| v1_xboole_0(X1) )
| ~ spl14_31
| ~ spl14_47 ),
inference(resolution,[],[f428,f342]) ).
fof(f667,plain,
( spl14_91
| ~ spl14_32
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f432,f427,f345,f665]) ).
fof(f665,plain,
( spl14_91
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
fof(f432,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl14_32
| ~ spl14_47 ),
inference(resolution,[],[f428,f346]) ).
fof(f663,plain,
( spl14_90
| ~ spl14_36
| ~ spl14_44 ),
inference(avatar_split_clause,[],[f414,f405,f366,f661]) ).
fof(f661,plain,
( spl14_90
<=> ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
fof(f414,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0)) )
| ~ spl14_36
| ~ spl14_44 ),
inference(resolution,[],[f406,f367]) ).
fof(f659,plain,
( spl14_89
| ~ spl14_36
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f413,f393,f366,f657]) ).
fof(f657,plain,
( spl14_89
<=> ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
fof(f413,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0)) )
| ~ spl14_36
| ~ spl14_41 ),
inference(resolution,[],[f394,f367]) ).
fof(f655,plain,
( spl14_88
| ~ spl14_36
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f412,f385,f366,f653]) ).
fof(f653,plain,
( spl14_88
<=> ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
fof(f412,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| m1_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0)) )
| ~ spl14_36
| ~ spl14_39 ),
inference(resolution,[],[f386,f367]) ).
fof(f649,plain,
( spl14_87
| ~ spl14_26
| ~ spl14_80 ),
inference(avatar_split_clause,[],[f620,f607,f320,f647]) ).
fof(f647,plain,
( spl14_87
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f620,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) )
| ~ spl14_26
| ~ spl14_80 ),
inference(resolution,[],[f608,f321]) ).
fof(f645,plain,
( spl14_86
| ~ spl14_15
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f435,f427,f272,f643]) ).
fof(f272,plain,
( spl14_15
<=> ! [X0] : m1_subset_1(sK6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f435,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) )
| ~ spl14_15
| ~ spl14_47 ),
inference(resolution,[],[f428,f273]) ).
fof(f273,plain,
( ! [X0] : m1_subset_1(sK6(X0),X0)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f641,plain,
( spl14_85
| ~ spl14_32
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f415,f409,f345,f639]) ).
fof(f639,plain,
( spl14_85
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl14_32
| ~ spl14_45 ),
inference(resolution,[],[f410,f346]) ).
fof(f633,plain,
( spl14_84
| ~ spl14_15
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f417,f409,f272,f631]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) )
| ~ spl14_15
| ~ spl14_45 ),
inference(resolution,[],[f410,f273]) ).
fof(f629,plain,
( spl14_83
| ~ spl14_10
| ~ spl14_13
| ~ spl14_23
| ~ spl14_24
| ~ spl14_34 ),
inference(avatar_split_clause,[],[f377,f357,f308,f304,f264,f250,f627]) ).
fof(f627,plain,
( spl14_83
<=> ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f250,plain,
( spl14_10
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f264,plain,
( spl14_13
<=> ! [X0] : v1_xboole_0(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f304,plain,
( spl14_23
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f308,plain,
( spl14_24
<=> ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f377,plain,
( ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl14_10
| ~ spl14_13
| ~ spl14_23
| ~ spl14_24
| ~ spl14_34 ),
inference(forward_demodulation,[],[f376,f318]) ).
fof(f318,plain,
( ! [X0] : sK7(X0) = sK13
| ~ spl14_10
| ~ spl14_13
| ~ spl14_23 ),
inference(forward_demodulation,[],[f317,f316]) ).
fof(f316,plain,
( k1_xboole_0 = sK13
| ~ spl14_10
| ~ spl14_23 ),
inference(resolution,[],[f305,f252]) ).
fof(f252,plain,
( v1_xboole_0(sK13)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f305,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f317,plain,
( ! [X0] : k1_xboole_0 = sK7(X0)
| ~ spl14_13
| ~ spl14_23 ),
inference(resolution,[],[f305,f265]) ).
fof(f265,plain,
( ! [X0] : v1_xboole_0(sK7(X0))
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f376,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK7(X0),k1_zfmisc_1(X0)) )
| ~ spl14_24
| ~ spl14_34 ),
inference(resolution,[],[f358,f309]) ).
fof(f309,plain,
( ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f617,plain,
( spl14_82
| ~ spl14_28
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f379,f370,f328,f615]) ).
fof(f370,plain,
( spl14_37
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f379,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl14_28
| ~ spl14_37 ),
inference(resolution,[],[f371,f329]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f613,plain,
( spl14_81
| ~ spl14_29
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f378,f366,f332,f611]) ).
fof(f378,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl14_29
| ~ spl14_36 ),
inference(resolution,[],[f367,f333]) ).
fof(f609,plain,
( spl14_80
| ~ spl14_15
| ~ spl14_34 ),
inference(avatar_split_clause,[],[f375,f357,f272,f607]) ).
fof(f375,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) )
| ~ spl14_15
| ~ spl14_34 ),
inference(resolution,[],[f358,f273]) ).
fof(f601,plain,
spl14_79,
inference(avatar_split_clause,[],[f200,f599]) ).
fof(f200,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( sP0(X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0)
| g1_cat_1(X0,X1,X2,X3,X4,X5) != g1_cat_1(X6,X7,X8,X9,X10,X11)
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5] :
( ! [X6,X7,X8,X9,X10,X11] :
( sP0(X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0)
| g1_cat_1(X0,X1,X2,X3,X4,X5) != g1_cat_1(X6,X7,X8,X9,X10,X11) )
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(definition_folding,[],[f100,f101]) ).
fof(f101,plain,
! [X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0] :
( ( X5 = X11
& X4 = X10
& X3 = X9
& X2 = X8
& X1 = X7
& X0 = X6 )
| ~ sP0(X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5] :
( ! [X6,X7,X8,X9,X10,X11] :
( ( X5 = X11
& X4 = X10
& X3 = X9
& X2 = X8
& X1 = X7
& X0 = X6 )
| g1_cat_1(X0,X1,X2,X3,X4,X5) != g1_cat_1(X6,X7,X8,X9,X10,X11) )
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4,X5] :
( ! [X6,X7,X8,X9,X10,X11] :
( ( X5 = X11
& X4 = X10
& X3 = X9
& X2 = X8
& X1 = X7
& X0 = X6 )
| g1_cat_1(X0,X1,X2,X3,X4,X5) != g1_cat_1(X6,X7,X8,X9,X10,X11) )
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X0,X1)
& v1_funct_2(X5,X0,X1)
& v1_funct_1(X5)
& m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m1_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3)
& m1_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0)
& v1_funct_1(X2)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X6,X7,X8,X9,X10,X11] :
( g1_cat_1(X0,X1,X2,X3,X4,X5) = g1_cat_1(X6,X7,X8,X9,X10,X11)
=> ( X5 = X11
& X4 = X10
& X3 = X9
& X2 = X8
& X1 = X7
& X0 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_cat_1) ).
fof(f595,plain,
spl14_78,
inference(avatar_split_clause,[],[f193,f593]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4,X5] :
( l1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( l1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
& v1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5)) )
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( l1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
& v1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5)) )
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X0,X1)
& v1_funct_2(X5,X0,X1)
& v1_funct_1(X5)
& m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4)
& m1_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3)
& m1_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0)
& v1_funct_1(X2)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ( l1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
& v1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_cat_1) ).
fof(f591,plain,
spl14_77,
inference(avatar_split_clause,[],[f192,f589]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_cat_1(g1_cat_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f573,plain,
( spl14_66
| ~ spl14_23
| ~ spl14_30 ),
inference(avatar_split_clause,[],[f572,f336,f304,f518]) ).
fof(f572,plain,
( ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) )
| ~ spl14_23
| ~ spl14_30 ),
inference(forward_demodulation,[],[f305,f338]) ).
fof(f571,plain,
( ~ spl14_7
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f566,plain,
( $false
| ~ spl14_7
| ~ spl14_69 ),
inference(resolution,[],[f533,f237]) ).
fof(f533,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl14_69
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f570,plain,
( ~ spl14_10
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl14_10
| ~ spl14_69 ),
inference(resolution,[],[f533,f252]) ).
fof(f569,plain,
( ~ spl14_13
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f568,plain,
( $false
| ~ spl14_13
| ~ spl14_69 ),
inference(resolution,[],[f533,f265]) ).
fof(f565,plain,
spl14_76,
inference(avatar_split_clause,[],[f187,f563]) ).
fof(f187,plain,
! [X2,X0,X1] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_isocat_2) ).
fof(f561,plain,
spl14_75,
inference(avatar_split_clause,[],[f161,f559]) ).
fof(f161,plain,
! [X2,X0,X1] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_isocat_2) ).
fof(f554,plain,
spl14_74,
inference(avatar_split_clause,[],[f160,f552]) ).
fof(f160,plain,
! [X2,X0,X1] :
( r1_isocat_1(X0,X1)
| ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) ) )
& ( ( v8_cat_1(sK5(X0,X1),X0,X1)
& m2_cat_1(sK5(X0,X1),X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X3] :
( v8_cat_1(X3,X0,X1)
& m2_cat_1(X3,X0,X1) )
=> ( v8_cat_1(sK5(X0,X1),X0,X1)
& m2_cat_1(sK5(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) ) )
& ( ? [X3] :
( v8_cat_1(X3,X0,X1)
& m2_cat_1(X3,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) ) )
& ( ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f550,plain,
spl14_73,
inference(avatar_split_clause,[],[f156,f548]) ).
fof(f156,plain,
! [X0] :
( g1_cat_1(u1_cat_1(X0),u2_cat_1(X0),u3_cat_1(X0),u4_cat_1(X0),u5_cat_1(X0),u6_cat_1(X0)) = X0
| ~ v1_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( g1_cat_1(u1_cat_1(X0),u2_cat_1(X0),u3_cat_1(X0),u4_cat_1(X0),u5_cat_1(X0),u6_cat_1(X0)) = X0
| ~ v1_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( g1_cat_1(u1_cat_1(X0),u2_cat_1(X0),u3_cat_1(X0),u4_cat_1(X0),u5_cat_1(X0),u6_cat_1(X0)) = X0
| ~ v1_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_cat_1(X0)
=> ( v1_cat_1(X0)
=> g1_cat_1(u1_cat_1(X0),u2_cat_1(X0),u3_cat_1(X0),u4_cat_1(X0),u5_cat_1(X0),u6_cat_1(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_cat_1) ).
fof(f545,plain,
spl14_72,
inference(avatar_split_clause,[],[f179,f543]) ).
fof(f179,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_cat_1) ).
fof(f541,plain,
spl14_71,
inference(avatar_split_clause,[],[f178,f539]) ).
fof(f539,plain,
( spl14_71
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f178,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f537,plain,
( spl14_69
| spl14_70
| ~ spl14_24
| ~ spl14_42
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f419,f409,f397,f308,f535,f532]) ).
fof(f535,plain,
( spl14_70
<=> ! [X1] : ~ r2_hidden(X1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f397,plain,
( spl14_42
<=> ! [X0] : sK7(X0) = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f419,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK13)
| ~ v1_xboole_0(X0) )
| ~ spl14_24
| ~ spl14_42
| ~ spl14_45 ),
inference(forward_demodulation,[],[f418,f398]) ).
fof(f398,plain,
( ! [X0] : sK7(X0) = sK13
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f418,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(X0)) )
| ~ spl14_24
| ~ spl14_45 ),
inference(resolution,[],[f410,f309]) ).
fof(f528,plain,
spl14_68,
inference(avatar_split_clause,[],[f159,f526]) ).
fof(f526,plain,
( spl14_68
<=> ! [X0,X1] :
( v8_cat_1(sK5(X0,X1),X0,X1)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f159,plain,
! [X0,X1] :
( v8_cat_1(sK5(X0,X1),X0,X1)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f524,plain,
spl14_67,
inference(avatar_split_clause,[],[f158,f522]) ).
fof(f158,plain,
! [X0,X1] :
( m2_cat_1(sK5(X0,X1),X0,X1)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f520,plain,
( spl14_66
| ~ spl14_10
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f353,f349,f250,f518]) ).
fof(f353,plain,
( ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) )
| ~ spl14_10
| ~ spl14_33 ),
inference(resolution,[],[f350,f252]) ).
fof(f516,plain,
spl14_65,
inference(avatar_split_clause,[],[f199,f514]) ).
fof(f514,plain,
( spl14_65
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f199,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( X0 = X1
& X2 = X3
& X4 = X5
& X6 = X7
& X8 = X9
& X10 = X11 )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0] :
( ( X5 = X11
& X4 = X10
& X3 = X9
& X2 = X8
& X1 = X7
& X0 = X6 )
| ~ sP0(X11,X5,X10,X4,X9,X3,X8,X2,X7,X1,X6,X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f512,plain,
spl14_64,
inference(avatar_split_clause,[],[f198,f510]) ).
fof(f510,plain,
( spl14_64
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X2 = X3
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f198,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X2 = X3
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f125]) ).
fof(f508,plain,
spl14_63,
inference(avatar_split_clause,[],[f197,f506]) ).
fof(f506,plain,
( spl14_63
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X5
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f197,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X5
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f125]) ).
fof(f504,plain,
spl14_62,
inference(avatar_split_clause,[],[f196,f502]) ).
fof(f502,plain,
( spl14_62
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X6 = X7
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f196,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X6 = X7
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f125]) ).
fof(f500,plain,
spl14_61,
inference(avatar_split_clause,[],[f195,f498]) ).
fof(f498,plain,
( spl14_61
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X8 = X9
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f195,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X8 = X9
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f125]) ).
fof(f496,plain,
spl14_60,
inference(avatar_split_clause,[],[f194,f494]) ).
fof(f494,plain,
( spl14_60
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X10 = X11
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f194,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X10 = X11
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f125]) ).
fof(f488,plain,
spl14_59,
inference(avatar_split_clause,[],[f180,f486]) ).
fof(f180,plain,
! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f87,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
=> m2_cat_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ? [X2] : m2_cat_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(f481,plain,
spl14_58,
inference(avatar_split_clause,[],[f177,f479]) ).
fof(f177,plain,
! [X2,X0,X1] :
( v1_funct_1(X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f477,plain,
spl14_57,
inference(avatar_split_clause,[],[f176,f475]) ).
fof(f176,plain,
! [X0,X1] :
( r1_isocat_1(X1,X0)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( r1_isocat_1(X1,X0)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( r1_isocat_1(X1,X0)
| ~ r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( r1_isocat_1(X0,X1)
=> r1_isocat_1(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_isocat_1) ).
fof(f472,plain,
spl14_56,
inference(avatar_split_clause,[],[f175,f470]) ).
fof(f175,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f468,plain,
spl14_55,
inference(avatar_split_clause,[],[f174,f466]) ).
fof(f174,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f464,plain,
( spl14_54
| ~ spl14_24
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f420,f397,f308,f462]) ).
fof(f462,plain,
( spl14_54
<=> ! [X0] : m1_subset_1(sK13,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f420,plain,
( ! [X0] : m1_subset_1(sK13,k1_zfmisc_1(X0))
| ~ spl14_24
| ~ spl14_42 ),
inference(superposition,[],[f309,f398]) ).
fof(f460,plain,
spl14_53,
inference(avatar_split_clause,[],[f173,f458]) ).
fof(f173,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f456,plain,
spl14_52,
inference(avatar_split_clause,[],[f172,f454]) ).
fof(f172,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f452,plain,
spl14_51,
inference(avatar_split_clause,[],[f171,f450]) ).
fof(f171,plain,
! [X0,X1] :
( v1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f448,plain,
spl14_50,
inference(avatar_split_clause,[],[f146,f446]) ).
fof(f146,plain,
! [X0] :
( m2_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( m2_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0))
& v1_funct_1(u5_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l1_cat_1(X0)
=> ( m2_relset_1(u5_cat_1(X0),k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X0)),u2_cat_1(X0))
& v1_funct_1(u5_cat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u5_cat_1) ).
fof(f444,plain,
( spl14_48
| spl14_49 ),
inference(avatar_split_clause,[],[f170,f442,f439]) ).
fof(f439,plain,
( spl14_48
<=> ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f442,plain,
( spl14_49
<=> ! [X0] :
( r1_isocat_1(X0,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f170,plain,
! [X0,X1] :
( r1_isocat_1(X0,X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( r1_isocat_1(X0,X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( r1_isocat_1(X0,X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> r1_isocat_1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_isocat_1) ).
fof(f429,plain,
spl14_47,
inference(avatar_split_clause,[],[f188,f427]) ).
fof(f188,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f425,plain,
spl14_46,
inference(avatar_split_clause,[],[f186,f423]) ).
fof(f186,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,[],[f91]) ).
fof(f91,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,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f411,plain,
spl14_45,
inference(avatar_split_clause,[],[f191,f409]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f407,plain,
spl14_44,
inference(avatar_split_clause,[],[f155,f405]) ).
fof(f155,plain,
! [X0] :
( m2_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( m2_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_2(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_1(u4_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l1_cat_1(X0)
=> ( m2_relset_1(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_2(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_1(u4_cat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u4_cat_1) ).
fof(f403,plain,
spl14_43,
inference(avatar_split_clause,[],[f154,f401]) ).
fof(f401,plain,
( spl14_43
<=> ! [X0] :
( v1_funct_2(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f154,plain,
! [X0] :
( v1_funct_2(u4_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f399,plain,
( spl14_42
| ~ spl14_10
| ~ spl14_13
| ~ spl14_23 ),
inference(avatar_split_clause,[],[f318,f304,f264,f250,f397]) ).
fof(f395,plain,
spl14_41,
inference(avatar_split_clause,[],[f152,f393]) ).
fof(f152,plain,
! [X0] :
( m2_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( m2_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_2(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_1(u3_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_cat_1(X0)
=> ( m2_relset_1(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_2(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
& v1_funct_1(u3_cat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u3_cat_1) ).
fof(f391,plain,
spl14_40,
inference(avatar_split_clause,[],[f151,f389]) ).
fof(f389,plain,
( spl14_40
<=> ! [X0] :
( v1_funct_2(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f151,plain,
! [X0] :
( v1_funct_2(u3_cat_1(X0),u2_cat_1(X0),u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f387,plain,
spl14_39,
inference(avatar_split_clause,[],[f149,f385]) ).
fof(f149,plain,
! [X0] :
( m2_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( m2_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
& v1_funct_2(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
& v1_funct_1(u6_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( l1_cat_1(X0)
=> ( m2_relset_1(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
& v1_funct_2(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
& v1_funct_1(u6_cat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u6_cat_1) ).
fof(f383,plain,
spl14_38,
inference(avatar_split_clause,[],[f148,f381]) ).
fof(f381,plain,
( spl14_38
<=> ! [X0] :
( v1_funct_2(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f148,plain,
! [X0] :
( v1_funct_2(u6_cat_1(X0),u1_cat_1(X0),u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f372,plain,
spl14_37,
inference(avatar_split_clause,[],[f190,f370]) ).
fof(f190,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,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,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f368,plain,
spl14_36,
inference(avatar_split_clause,[],[f189,f366]) ).
fof(f189,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f363,plain,
spl14_35,
inference(avatar_split_clause,[],[f169,f361]) ).
fof(f361,plain,
( spl14_35
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f169,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f359,plain,
spl14_34,
inference(avatar_split_clause,[],[f168,f357]) ).
fof(f168,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f351,plain,
spl14_33,
inference(avatar_split_clause,[],[f182,f349]) ).
fof(f182,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f347,plain,
spl14_32,
inference(avatar_split_clause,[],[f181,f345]) ).
fof(f181,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f343,plain,
spl14_31,
inference(avatar_split_clause,[],[f141,f341]) ).
fof(f141,plain,
! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f56,f107]) ).
fof(f107,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f339,plain,
( spl14_30
| ~ spl14_10
| ~ spl14_23 ),
inference(avatar_split_clause,[],[f316,f304,f250,f336]) ).
fof(f334,plain,
spl14_29,
inference(avatar_split_clause,[],[f185,f332]) ).
fof(f185,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f29,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f330,plain,
spl14_28,
inference(avatar_split_clause,[],[f184,f328]) ).
fof(f184,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f26,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f326,plain,
spl14_27,
inference(avatar_split_clause,[],[f167,f324]) ).
fof(f324,plain,
( spl14_27
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f167,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f322,plain,
spl14_26,
inference(avatar_split_clause,[],[f166,f320]) ).
fof(f166,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f314,plain,
spl14_25,
inference(avatar_split_clause,[],[f183,f312]) ).
fof(f312,plain,
( spl14_25
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f183,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f310,plain,
spl14_24,
inference(avatar_split_clause,[],[f163,f308]) ).
fof(f163,plain,
! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f36,f115]) ).
fof(f115,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(f36,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f306,plain,
spl14_23,
inference(avatar_split_clause,[],[f157,f304]) ).
fof(f157,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f302,plain,
spl14_22,
inference(avatar_split_clause,[],[f153,f300]) ).
fof(f300,plain,
( spl14_22
<=> ! [X0] :
( v1_funct_1(u4_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f153,plain,
! [X0] :
( v1_funct_1(u4_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f298,plain,
spl14_21,
inference(avatar_split_clause,[],[f150,f296]) ).
fof(f296,plain,
( spl14_21
<=> ! [X0] :
( v1_funct_1(u3_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f150,plain,
! [X0] :
( v1_funct_1(u3_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f294,plain,
spl14_20,
inference(avatar_split_clause,[],[f147,f292]) ).
fof(f292,plain,
( spl14_20
<=> ! [X0] :
( v1_funct_1(u6_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f147,plain,
! [X0] :
( v1_funct_1(u6_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f290,plain,
spl14_19,
inference(avatar_split_clause,[],[f145,f288]) ).
fof(f288,plain,
( spl14_19
<=> ! [X0] :
( v1_funct_1(u5_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f145,plain,
! [X0] :
( v1_funct_1(u5_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f286,plain,
spl14_18,
inference(avatar_split_clause,[],[f144,f284]) ).
fof(f284,plain,
( spl14_18
<=> ! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f144,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(f282,plain,
spl14_17,
inference(avatar_split_clause,[],[f143,f280]) ).
fof(f280,plain,
( spl14_17
<=> ! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f143,plain,
! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u1_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_cat_1) ).
fof(f278,plain,
spl14_16,
inference(avatar_split_clause,[],[f142,f276]) ).
fof(f276,plain,
( spl14_16
<=> ! [X0] :
( ~ v1_xboole_0(sK4(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f142,plain,
! [X0] :
( ~ v1_xboole_0(sK4(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f274,plain,
spl14_15,
inference(avatar_split_clause,[],[f162,f272]) ).
fof(f162,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f27,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f270,plain,
spl14_14,
inference(avatar_split_clause,[],[f165,f268]) ).
fof(f268,plain,
( spl14_14
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f165,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f266,plain,
spl14_13,
inference(avatar_split_clause,[],[f164,f264]) ).
fof(f164,plain,
! [X0] : v1_xboole_0(sK7(X0)),
inference(cnf_transformation,[],[f116]) ).
fof(f262,plain,
spl14_12,
inference(avatar_split_clause,[],[f140,f260]) ).
fof(f260,plain,
( spl14_12
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f140,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f258,plain,
~ spl14_11,
inference(avatar_split_clause,[],[f138,f255]) ).
fof(f138,plain,
~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3),k12_nattra_1(sK1,k12_nattra_1(sK2,sK3))),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3),k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
& l1_cat_1(sK3)
& v2_cat_1(sK3)
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f55,f105,f104,f103]) ).
fof(f103,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,X1),X2),k12_nattra_1(sK1,k12_nattra_1(X1,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(sK1)
& v2_cat_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,X1),X2),k12_nattra_1(sK1,k12_nattra_1(X1,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),X2),k12_nattra_1(sK1,k12_nattra_1(sK2,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(sK2)
& v2_cat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),X2),k12_nattra_1(sK1,k12_nattra_1(sK2,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
=> ( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK1,sK2),sK3),k12_nattra_1(sK1,k12_nattra_1(sK2,sK3)))
& l1_cat_1(sK3)
& v2_cat_1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_isocat_2) ).
fof(f253,plain,
spl14_10,
inference(avatar_split_clause,[],[f203,f250]) ).
fof(f203,plain,
v1_xboole_0(sK13),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
v1_xboole_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f35,f130]) ).
fof(f130,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f35,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f248,plain,
spl14_9,
inference(avatar_split_clause,[],[f202,f245]) ).
fof(f202,plain,
l1_cat_1(sK12),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
l1_cat_1(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f25,f128]) ).
fof(f128,plain,
( ? [X0] : l1_cat_1(X0)
=> l1_cat_1(sK12) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : l1_cat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_cat_1) ).
fof(f243,plain,
~ spl14_8,
inference(avatar_split_clause,[],[f201,f240]) ).
fof(f240,plain,
( spl14_8
<=> v1_xboole_0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f201,plain,
~ v1_xboole_0(sK11),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
~ v1_xboole_0(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f37,f126]) ).
fof(f126,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK11) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f238,plain,
spl14_7,
inference(avatar_split_clause,[],[f139,f235]) ).
fof(f139,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f233,plain,
spl14_6,
inference(avatar_split_clause,[],[f137,f230]) ).
fof(f137,plain,
l1_cat_1(sK3),
inference(cnf_transformation,[],[f106]) ).
fof(f228,plain,
spl14_5,
inference(avatar_split_clause,[],[f136,f225]) ).
fof(f136,plain,
v2_cat_1(sK3),
inference(cnf_transformation,[],[f106]) ).
fof(f223,plain,
spl14_4,
inference(avatar_split_clause,[],[f135,f220]) ).
fof(f135,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f106]) ).
fof(f218,plain,
spl14_3,
inference(avatar_split_clause,[],[f134,f215]) ).
fof(f134,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f106]) ).
fof(f213,plain,
spl14_2,
inference(avatar_split_clause,[],[f133,f210]) ).
fof(f133,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f106]) ).
fof(f208,plain,
spl14_1,
inference(avatar_split_clause,[],[f132,f205]) ).
fof(f132,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:12:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (25224)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25225)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (25227)WARNING: value z3 for option sas not known
% 0.21/0.39 % (25230)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)
% 0.21/0.39 % (25226)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (25229)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)
% 0.21/0.40 % (25228)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (25231)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)
% 0.21/0.40 % (25227)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)
% 0.21/0.40 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.44 TRYING [1]
% 0.21/0.44 % (25229)First to succeed.
% 0.21/0.44 TRYING [2]
% 0.21/0.46 % (25229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25224"
% 0.21/0.46 % (25229)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (25229)------------------------------
% 0.21/0.47 % (25229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.47 % (25229)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (25229)Memory used [KB]: 1731
% 0.21/0.47 % (25229)Time elapsed: 0.065 s
% 0.21/0.47 % (25229)Instructions burned: 97 (million)
% 0.21/0.47 % (25224)Success in time 0.098 s
%------------------------------------------------------------------------------