TSTP Solution File: LAT294+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT294+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:22:06 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 353
% Syntax : Number of formulae : 1147 ( 114 unt; 0 def)
% Number of atoms : 4410 ( 245 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 5781 (2518 ~;2602 |; 297 &)
% ( 307 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 317 ( 315 usr; 303 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 1235 (1165 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2423,plain,
$false,
inference(avatar_sat_refutation,[],[f185,f190,f195,f200,f205,f210,f215,f220,f225,f230,f235,f240,f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f325,f329,f333,f337,f341,f345,f354,f358,f362,f366,f370,f379,f384,f388,f392,f396,f400,f404,f415,f419,f423,f427,f437,f441,f445,f449,f453,f457,f461,f486,f497,f501,f516,f526,f535,f539,f553,f562,f566,f575,f580,f585,f590,f594,f607,f615,f620,f626,f631,f641,f645,f650,f656,f663,f668,f669,f670,f671,f679,f701,f705,f709,f713,f717,f721,f742,f743,f748,f752,f761,f769,f774,f779,f787,f795,f803,f811,f812,f821,f829,f833,f839,f844,f849,f857,f865,f873,f877,f881,f886,f890,f894,f898,f911,f916,f926,f936,f946,f950,f954,f959,f992,f999,f1006,f1013,f1023,f1027,f1031,f1035,f1039,f1043,f1048,f1052,f1060,f1068,f1080,f1084,f1088,f1092,f1100,f1104,f1108,f1112,f1116,f1120,f1124,f1128,f1159,f1168,f1173,f1182,f1191,f1200,f1209,f1214,f1222,f1226,f1230,f1248,f1252,f1256,f1276,f1293,f1310,f1327,f1331,f1335,f1341,f1345,f1349,f1353,f1357,f1368,f1372,f1376,f1392,f1403,f1411,f1415,f1416,f1420,f1421,f1425,f1429,f1433,f1437,f1441,f1449,f1472,f1476,f1480,f1481,f1485,f1490,f1497,f1504,f1510,f1514,f1518,f1522,f1526,f1607,f1611,f1620,f1624,f1629,f1647,f1651,f1655,f1659,f1670,f1680,f1689,f1695,f1713,f1718,f1722,f1726,f1731,f1746,f1750,f1754,f1758,f1762,f1766,f1770,f1774,f1778,f1782,f1786,f1790,f1794,f1802,f1833,f1853,f1869,f1877,f1890,f1912,f1923,f1931,f1932,f1948,f1959,f1969,f1971,f1979,f2003,f2021,f2031,f2032,f2041,f2045,f2062,f2092,f2113,f2117,f2121,f2134,f2138,f2139,f2159,f2168,f2169,f2174,f2189,f2193,f2207,f2222,f2263,f2267,f2271,f2293,f2297,f2301,f2313,f2317,f2325,f2329,f2333,f2338,f2350,f2407,f2412,f2413,f2420,f2422]) ).
fof(f2422,plain,
( ~ spl16_7
| ~ spl16_12
| ~ spl16_13
| ~ spl16_14
| spl16_1
| ~ spl16_157
| ~ spl16_15
| ~ spl16_217 ),
inference(avatar_split_clause,[],[f2421,f1483,f252,f1170,f182,f247,f242,f237,f212]) ).
fof(f212,plain,
( spl16_7
<=> m1_subset_1(sK1,k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f237,plain,
( spl16_12
<=> v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f242,plain,
( spl16_13
<=> m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f247,plain,
( spl16_14
<=> v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f182,plain,
( spl16_1
<=> v1_xboole_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f1170,plain,
( spl16_157
<=> r4_binop_1(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_157])]) ).
fof(f252,plain,
( spl16_15
<=> m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f1483,plain,
( spl16_217
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK2,sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_217])]) ).
fof(f2421,plain,
( ~ r4_binop_1(sK0,sK2,sK3)
| v1_xboole_0(sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ spl16_15
| ~ spl16_217 ),
inference(resolution,[],[f1484,f254]) ).
fof(f254,plain,
( m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f1484,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ r4_binop_1(X0,sK2,sK3)
| v1_xboole_0(X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| ~ spl16_217 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f2420,plain,
( spl16_302
| ~ spl16_171
| ~ spl16_259 ),
inference(avatar_split_clause,[],[f2414,f1874,f1245,f2417]) ).
fof(f2417,plain,
( spl16_302
<=> r5_binop_1(sK1,sK12,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_302])]) ).
fof(f1245,plain,
( spl16_171
<=> r5_binop_1(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_171])]) ).
fof(f1874,plain,
( spl16_259
<=> sK4 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_259])]) ).
fof(f2414,plain,
( r5_binop_1(sK1,sK12,sK5)
| ~ spl16_171
| ~ spl16_259 ),
inference(forward_demodulation,[],[f1246,f1876]) ).
fof(f1876,plain,
( sK4 = sK12
| ~ spl16_259 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f1246,plain,
( r5_binop_1(sK1,sK4,sK5)
| ~ spl16_171 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f2413,plain,
( ~ spl16_7
| ~ spl16_12
| ~ spl16_13
| ~ spl16_14
| spl16_1
| ~ spl16_166
| ~ spl16_15
| ~ spl16_215 ),
inference(avatar_split_clause,[],[f1486,f1474,f252,f1211,f182,f247,f242,f237,f212]) ).
fof(f1211,plain,
( spl16_166
<=> r5_binop_1(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_166])]) ).
fof(f1474,plain,
( spl16_215
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK2,sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_215])]) ).
fof(f1486,plain,
( ~ r5_binop_1(sK0,sK2,sK3)
| v1_xboole_0(sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ spl16_15
| ~ spl16_215 ),
inference(resolution,[],[f1475,f254]) ).
fof(f1475,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,sK2,sK3)
| v1_xboole_0(X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| ~ spl16_215 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f2412,plain,
( spl16_301
| ~ spl16_8
| ~ spl16_243 ),
inference(avatar_split_clause,[],[f2067,f1728,f217,f2409]) ).
fof(f2409,plain,
( spl16_301
<=> r6_binop_1(sK0,sK2,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_301])]) ).
fof(f217,plain,
( spl16_8
<=> r6_binop_1(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f1728,plain,
( spl16_243
<=> sK3 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_243])]) ).
fof(f2067,plain,
( r6_binop_1(sK0,sK2,sK12)
| ~ spl16_8
| ~ spl16_243 ),
inference(superposition,[],[f219,f1730]) ).
fof(f1730,plain,
( sK3 = sK12
| ~ spl16_243 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f219,plain,
( r6_binop_1(sK0,sK2,sK3)
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f2407,plain,
( spl16_300
| ~ spl16_61
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f1384,f1343,f499,f2405]) ).
fof(f2405,plain,
( spl16_300
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK7(sK6(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_300])]) ).
fof(f499,plain,
( spl16_61
<=> ! [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,[spl16_61])]) ).
fof(f1343,plain,
( spl16_193
<=> ! [X0] :
( m1_subset_1(sK7(sK6(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_193])]) ).
fof(f1384,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK7(sK6(k1_zfmisc_1(X0)))) )
| ~ spl16_61
| ~ spl16_193 ),
inference(resolution,[],[f1344,f500]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl16_61 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f1344,plain,
( ! [X0] :
( m1_subset_1(sK7(sK6(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK6(X0)) )
| ~ spl16_193 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f2350,plain,
( spl16_299
| ~ spl16_228
| spl16_262 ),
inference(avatar_split_clause,[],[f1925,f1920,f1618,f2348]) ).
fof(f2348,plain,
( spl16_299
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(sK12,sK0)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(sK12,sK0)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_299])]) ).
fof(f1618,plain,
( spl16_228
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_228])]) ).
fof(f1920,plain,
( spl16_262
<=> v1_xboole_0(k2_zfmisc_1(sK12,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_262])]) ).
fof(f1925,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(sK12,sK0)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(sK12,sK0)),X0),k2_zfmisc_1(X1,X1))
| ~ spl16_228
| spl16_262 ),
inference(resolution,[],[f1922,f1619]) ).
fof(f1619,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl16_228 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1922,plain,
( ~ v1_xboole_0(k2_zfmisc_1(sK12,sK0))
| spl16_262 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f2338,plain,
( spl16_298
| ~ spl16_89
| ~ spl16_265 ),
inference(avatar_split_clause,[],[f1988,f1956,f707,f2335]) ).
fof(f2335,plain,
( spl16_298
<=> v1_relat_1(sK7(k1_zfmisc_1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_298])]) ).
fof(f707,plain,
( spl16_89
<=> ! [X0,X1] : v1_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_89])]) ).
fof(f1956,plain,
( spl16_265
<=> sK12 = k2_zfmisc_1(sK12,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_265])]) ).
fof(f1988,plain,
( v1_relat_1(sK7(k1_zfmisc_1(sK12)))
| ~ spl16_89
| ~ spl16_265 ),
inference(superposition,[],[f708,f1958]) ).
fof(f1958,plain,
( sK12 = k2_zfmisc_1(sK12,sK0)
| ~ spl16_265 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f708,plain,
( ! [X0,X1] : v1_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl16_89 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2333,plain,
( spl16_297
| ~ spl16_59
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f1383,f1343,f484,f2331]) ).
fof(f2331,plain,
( spl16_297
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(sK6(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_297])]) ).
fof(f484,plain,
( spl16_59
<=> ! [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,[spl16_59])]) ).
fof(f1383,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(sK6(k1_zfmisc_1(X0)))) )
| ~ spl16_59
| ~ spl16_193 ),
inference(resolution,[],[f1344,f485]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl16_59 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f2329,plain,
( spl16_296
| ~ spl16_61
| ~ spl16_192 ),
inference(avatar_split_clause,[],[f1380,f1339,f499,f2327]) ).
fof(f2327,plain,
( spl16_296
<=> ! [X0,X1] :
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_296])]) ).
fof(f1339,plain,
( spl16_192
<=> ! [X0] :
( m1_subset_1(sK7(sK7(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_192])]) ).
fof(f1380,plain,
( ! [X0,X1] :
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl16_61
| ~ spl16_192 ),
inference(resolution,[],[f1340,f500]) ).
fof(f1340,plain,
( ! [X0] :
( m1_subset_1(sK7(sK7(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) )
| ~ spl16_192 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f2325,plain,
( spl16_295
| ~ spl16_56
| ~ spl16_192 ),
inference(avatar_split_clause,[],[f1378,f1339,f451,f2323]) ).
fof(f2323,plain,
( spl16_295
<=> ! [X0,X1] :
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_295])]) ).
fof(f451,plain,
( spl16_56
<=> ! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_56])]) ).
fof(f1378,plain,
( ! [X0,X1] :
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) )
| ~ spl16_56
| ~ spl16_192 ),
inference(resolution,[],[f1340,f452]) ).
fof(f452,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl16_56 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f2317,plain,
( spl16_294
| ~ spl16_117
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f1386,f1347,f909,f2315]) ).
fof(f2315,plain,
( spl16_294
<=> ! [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,[spl16_294])]) ).
fof(f909,plain,
( spl16_117
<=> ! [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,[spl16_117])]) ).
fof(f1347,plain,
( spl16_194
<=> ! [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,[spl16_194])]) ).
fof(f1386,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) )
| ~ spl16_117
| ~ spl16_194 ),
inference(resolution,[],[f1348,f910]) ).
fof(f910,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl16_117 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1348,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl16_194 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f2313,plain,
( spl16_293
| ~ spl16_59
| ~ spl16_192 ),
inference(avatar_split_clause,[],[f1379,f1339,f484,f2311]) ).
fof(f2311,plain,
( spl16_293
<=> ! [X0,X1] :
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_293])]) ).
fof(f1379,plain,
( ! [X0,X1] :
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl16_59
| ~ spl16_192 ),
inference(resolution,[],[f1340,f485]) ).
fof(f2301,plain,
( spl16_292
| ~ spl16_62
| ~ spl16_169 ),
inference(avatar_split_clause,[],[f1239,f1228,f514,f2299]) ).
fof(f2299,plain,
( spl16_292
<=> ! [X2,X0,X1] : k1_realset1(k2_zfmisc_1(X0,X1),X2) = k7_relat_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_292])]) ).
fof(f514,plain,
( spl16_62
<=> ! [X0,X1] :
( k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_62])]) ).
fof(f1228,plain,
( spl16_169
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_169])]) ).
fof(f1239,plain,
( ! [X2,X0,X1] : k1_realset1(k2_zfmisc_1(X0,X1),X2) = k7_relat_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ spl16_62
| ~ spl16_169 ),
inference(resolution,[],[f1229,f515]) ).
fof(f515,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) )
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f1229,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl16_169 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f2297,plain,
( spl16_291
| ~ spl16_62
| ~ spl16_168 ),
inference(avatar_split_clause,[],[f1236,f1224,f514,f2295]) ).
fof(f2295,plain,
( spl16_291
<=> ! [X2,X0,X1] : k1_realset1(sK9(X0,X1),X2) = k7_relat_1(sK9(X0,X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_291])]) ).
fof(f1224,plain,
( spl16_168
<=> ! [X0,X1] : v1_relat_1(sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_168])]) ).
fof(f1236,plain,
( ! [X2,X0,X1] : k1_realset1(sK9(X0,X1),X2) = k7_relat_1(sK9(X0,X1),k2_zfmisc_1(X2,X2))
| ~ spl16_62
| ~ spl16_168 ),
inference(resolution,[],[f1225,f515]) ).
fof(f1225,plain,
( ! [X0,X1] : v1_relat_1(sK9(X0,X1))
| ~ spl16_168 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f2293,plain,
( spl16_290
| ~ spl16_62
| ~ spl16_167 ),
inference(avatar_split_clause,[],[f1233,f1220,f514,f2291]) ).
fof(f2291,plain,
( spl16_290
<=> ! [X2,X0,X1] : k1_realset1(sK10(X0,X1),X2) = k7_relat_1(sK10(X0,X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_290])]) ).
fof(f1220,plain,
( spl16_167
<=> ! [X0,X1] : v1_relat_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_167])]) ).
fof(f1233,plain,
( ! [X2,X0,X1] : k1_realset1(sK10(X0,X1),X2) = k7_relat_1(sK10(X0,X1),k2_zfmisc_1(X2,X2))
| ~ spl16_62
| ~ spl16_167 ),
inference(resolution,[],[f1221,f515]) ).
fof(f1221,plain,
( ! [X0,X1] : v1_relat_1(sK10(X0,X1))
| ~ spl16_167 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f2271,plain,
( spl16_289
| ~ spl16_87
| ~ spl16_199 ),
inference(avatar_split_clause,[],[f1395,f1374,f699,f2269]) ).
fof(f2269,plain,
( spl16_289
<=> ! [X0,X1] :
( m1_subset_1(sK7(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_289])]) ).
fof(f699,plain,
( spl16_87
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_87])]) ).
fof(f1374,plain,
( spl16_199
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_199])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl16_87
| ~ spl16_199 ),
inference(resolution,[],[f1375,f700]) ).
fof(f700,plain,
( ! [X0] :
( r2_hidden(sK7(X0),X0)
| v1_xboole_0(X0) )
| ~ spl16_87 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f1375,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl16_199 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f2267,plain,
( spl16_288
| ~ spl16_87
| ~ spl16_198 ),
inference(avatar_split_clause,[],[f1394,f1370,f699,f2265]) ).
fof(f2265,plain,
( spl16_288
<=> ! [X0,X1] :
( m1_subset_1(sK7(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_288])]) ).
fof(f1370,plain,
( spl16_198
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_198])]) ).
fof(f1394,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl16_87
| ~ spl16_198 ),
inference(resolution,[],[f1371,f700]) ).
fof(f1371,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl16_198 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f2263,plain,
( spl16_287
| ~ spl16_52
| ~ spl16_192 ),
inference(avatar_split_clause,[],[f1377,f1339,f435,f2261]) ).
fof(f2261,plain,
( spl16_287
<=> ! [X0] :
( v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK7(sK7(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_287])]) ).
fof(f435,plain,
( spl16_52
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_52])]) ).
fof(f1377,plain,
( ! [X0] :
( v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK7(sK7(k1_zfmisc_1(X0))),X0) )
| ~ spl16_52
| ~ spl16_192 ),
inference(resolution,[],[f1340,f436]) ).
fof(f436,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl16_52 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f2222,plain,
( spl16_286
| ~ spl16_52
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f1385,f1343,f435,f2220]) ).
fof(f2220,plain,
( spl16_286
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK6(X0))
| r2_hidden(sK7(sK6(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_286])]) ).
fof(f1385,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK6(X0))
| r2_hidden(sK7(sK6(X0)),X0) )
| ~ spl16_52
| ~ spl16_193 ),
inference(duplicate_literal_removal,[],[f1381]) ).
fof(f1381,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK6(X0))
| v1_xboole_0(X0)
| r2_hidden(sK7(sK6(X0)),X0) )
| ~ spl16_52
| ~ spl16_193 ),
inference(resolution,[],[f1344,f436]) ).
fof(f2207,plain,
( spl16_285
| ~ spl16_51
| ~ spl16_173 ),
inference(avatar_split_clause,[],[f1258,f1254,f425,f2205]) ).
fof(f2205,plain,
( spl16_285
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK7(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_285])]) ).
fof(f425,plain,
( spl16_51
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_51])]) ).
fof(f1254,plain,
( spl16_173
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_173])]) ).
fof(f1258,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK7(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl16_51
| ~ spl16_173 ),
inference(resolution,[],[f1255,f426]) ).
fof(f426,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl16_51 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1255,plain,
( ! [X0] :
( v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl16_173 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f2193,plain,
( spl16_284
| ~ spl16_87
| ~ spl16_191 ),
inference(avatar_split_clause,[],[f1337,f1333,f699,f2191]) ).
fof(f2191,plain,
( spl16_284
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_284])]) ).
fof(f1333,plain,
( spl16_191
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_191])]) ).
fof(f1337,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl16_87
| ~ spl16_191 ),
inference(resolution,[],[f1334,f700]) ).
fof(f1334,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl16_191 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f2189,plain,
( spl16_283
| ~ spl16_87
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f1336,f1329,f699,f2187]) ).
fof(f2187,plain,
( spl16_283
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_283])]) ).
fof(f1329,plain,
( spl16_190
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_190])]) ).
fof(f1336,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl16_87
| ~ spl16_190 ),
inference(resolution,[],[f1330,f700]) ).
fof(f1330,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK10(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl16_190 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f2174,plain,
( spl16_282
| ~ spl16_84
| ~ spl16_173 ),
inference(avatar_split_clause,[],[f1257,f1254,f654,f2172]) ).
fof(f2172,plain,
( spl16_282
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK12 = sK7(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_282])]) ).
fof(f654,plain,
( spl16_84
<=> ! [X0] :
( sK12 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_84])]) ).
fof(f1257,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK12 = sK7(k1_zfmisc_1(X0)) )
| ~ spl16_84
| ~ spl16_173 ),
inference(resolution,[],[f1255,f655]) ).
fof(f655,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK12 = X0 )
| ~ spl16_84 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f2169,plain,
( ~ spl16_41
| spl16_271
| ~ spl16_273 ),
inference(avatar_split_clause,[],[f2097,f2059,f2038,f381]) ).
fof(f381,plain,
( spl16_41
<=> v1_funct_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_41])]) ).
fof(f2038,plain,
( spl16_271
<=> v1_funct_1(k2_zfmisc_1(sK12,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_271])]) ).
fof(f2059,plain,
( spl16_273
<=> sK12 = k2_zfmisc_1(sK12,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_273])]) ).
fof(f2097,plain,
( ~ v1_funct_1(sK12)
| spl16_271
| ~ spl16_273 ),
inference(superposition,[],[f2040,f2061]) ).
fof(f2061,plain,
( sK12 = k2_zfmisc_1(sK12,sK1)
| ~ spl16_273 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2040,plain,
( ~ v1_funct_1(k2_zfmisc_1(sK12,sK1))
| spl16_271 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f2168,plain,
( ~ spl16_7
| ~ spl16_12
| ~ spl16_13
| spl16_1
| ~ spl16_280
| ~ spl16_281
| ~ spl16_15
| ~ spl16_215
| ~ spl16_243 ),
inference(avatar_split_clause,[],[f1970,f1728,f1474,f252,f2165,f2161,f182,f242,f237,f212]) ).
fof(f2161,plain,
( spl16_280
<=> r5_binop_1(sK0,sK2,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_280])]) ).
fof(f2165,plain,
( spl16_281
<=> v1_funct_2(sK12,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_281])]) ).
fof(f1970,plain,
( ~ v1_funct_2(sK12,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r5_binop_1(sK0,sK2,sK12)
| v1_xboole_0(sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ spl16_15
| ~ spl16_215
| ~ spl16_243 ),
inference(forward_demodulation,[],[f1933,f1730]) ).
fof(f1933,plain,
( ~ r5_binop_1(sK0,sK2,sK12)
| v1_xboole_0(sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ spl16_15
| ~ spl16_215
| ~ spl16_243 ),
inference(forward_demodulation,[],[f1486,f1730]) ).
fof(f2159,plain,
( spl16_279
| ~ spl16_33
| ~ spl16_173 ),
inference(avatar_split_clause,[],[f1259,f1254,f339,f2157]) ).
fof(f2157,plain,
( spl16_279
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_279])]) ).
fof(f339,plain,
( spl16_33
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f1259,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK7(k1_zfmisc_1(X0))) )
| ~ spl16_33
| ~ spl16_173 ),
inference(resolution,[],[f1255,f340]) ).
fof(f340,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f2139,plain,
( spl16_2
| ~ spl16_53
| ~ spl16_258 ),
inference(avatar_split_clause,[],[f2014,f1866,f439,f187]) ).
fof(f187,plain,
( spl16_2
<=> v1_xboole_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f439,plain,
( spl16_53
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
fof(f1866,plain,
( spl16_258
<=> v1_xboole_0(k2_zfmisc_1(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_258])]) ).
fof(f2014,plain,
( v1_xboole_0(sK1)
| ~ spl16_53
| ~ spl16_258 ),
inference(duplicate_literal_removal,[],[f2010]) ).
fof(f2010,plain,
( v1_xboole_0(sK1)
| v1_xboole_0(sK1)
| ~ spl16_53
| ~ spl16_258 ),
inference(resolution,[],[f1868,f440]) ).
fof(f440,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl16_53 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f1868,plain,
( v1_xboole_0(k2_zfmisc_1(sK1,sK1))
| ~ spl16_258 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f2138,plain,
( spl16_278
| spl16_138
| ~ spl16_229 ),
inference(avatar_split_clause,[],[f1640,f1622,f1057,f2136]) ).
fof(f2136,plain,
( spl16_278
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_278])]) ).
fof(f1057,plain,
( spl16_138
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_138])]) ).
fof(f1622,plain,
( spl16_229
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_229])]) ).
fof(f1640,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),k2_zfmisc_1(X1,X1))
| spl16_138
| ~ spl16_229 ),
inference(resolution,[],[f1623,f1059]) ).
fof(f1059,plain,
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| spl16_138 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1623,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl16_229 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f2134,plain,
( spl16_277
| ~ spl16_84
| ~ spl16_258
| ~ spl16_268
| ~ spl16_273 ),
inference(avatar_split_clause,[],[f2124,f2059,f2001,f1866,f654,f2132]) ).
fof(f2132,plain,
( spl16_277
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK6(sK12),X0),X1) = k7_relat_1(k1_realset1(sK6(sK12),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_277])]) ).
fof(f2001,plain,
( spl16_268
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_268])]) ).
fof(f2124,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK6(sK12),X0),X1) = k7_relat_1(k1_realset1(sK6(sK12),X0),k2_zfmisc_1(X1,X1))
| ~ spl16_84
| ~ spl16_258
| ~ spl16_268
| ~ spl16_273 ),
inference(forward_demodulation,[],[f2023,f2061]) ).
fof(f2023,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(sK12,sK1)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(sK12,sK1)),X0),k2_zfmisc_1(X1,X1))
| ~ spl16_84
| ~ spl16_258
| ~ spl16_268 ),
inference(forward_demodulation,[],[f2002,f2011]) ).
fof(f2011,plain,
( k2_zfmisc_1(sK1,sK1) = sK12
| ~ spl16_84
| ~ spl16_258 ),
inference(resolution,[],[f1868,f655]) ).
fof(f2002,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),k2_zfmisc_1(X1,X1))
| ~ spl16_268 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f2121,plain,
( spl16_276
| spl16_140
| ~ spl16_229 ),
inference(avatar_split_clause,[],[f1639,f1622,f1065,f2119]) ).
fof(f2119,plain,
( spl16_276
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_276])]) ).
fof(f1065,plain,
( spl16_140
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_140])]) ).
fof(f1639,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),k2_zfmisc_1(X1,X1))
| spl16_140
| ~ spl16_229 ),
inference(resolution,[],[f1623,f1067]) ).
fof(f1067,plain,
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| spl16_140 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f2117,plain,
( spl16_275
| spl16_138
| ~ spl16_228 ),
inference(avatar_split_clause,[],[f1634,f1618,f1057,f2115]) ).
fof(f2115,plain,
( spl16_275
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_275])]) ).
fof(f1634,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0),k2_zfmisc_1(X1,X1))
| spl16_138
| ~ spl16_228 ),
inference(resolution,[],[f1619,f1059]) ).
fof(f2113,plain,
( spl16_268
| spl16_140
| ~ spl16_228 ),
inference(avatar_split_clause,[],[f1633,f1618,f1065,f2001]) ).
fof(f1633,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),X1) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0),k2_zfmisc_1(X1,X1))
| spl16_140
| ~ spl16_228 ),
inference(resolution,[],[f1619,f1067]) ).
fof(f2092,plain,
( spl16_274
| ~ spl16_229
| spl16_270 ),
inference(avatar_split_clause,[],[f2034,f2028,f1622,f2090]) ).
fof(f2090,plain,
( spl16_274
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK1)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK1)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_274])]) ).
fof(f2028,plain,
( spl16_270
<=> v1_xboole_0(k2_zfmisc_1(sK12,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_270])]) ).
fof(f2034,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK1)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK1)),X0),k2_zfmisc_1(X1,X1))
| ~ spl16_229
| spl16_270 ),
inference(resolution,[],[f2030,f1623]) ).
fof(f2030,plain,
( ~ v1_xboole_0(k2_zfmisc_1(sK12,sK1))
| spl16_270 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2062,plain,
( spl16_273
| ~ spl16_84
| ~ spl16_270 ),
inference(avatar_split_clause,[],[f2047,f2028,f654,f2059]) ).
fof(f2047,plain,
( sK12 = k2_zfmisc_1(sK12,sK1)
| ~ spl16_84
| ~ spl16_270 ),
inference(resolution,[],[f2029,f655]) ).
fof(f2029,plain,
( v1_xboole_0(k2_zfmisc_1(sK12,sK1))
| ~ spl16_270 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2045,plain,
( spl16_272
| ~ spl16_221
| spl16_270 ),
inference(avatar_split_clause,[],[f2036,f2028,f1508,f2043]) ).
fof(f2043,plain,
( spl16_272
<=> ! [X0] : k1_realset1(sK6(k2_zfmisc_1(sK12,sK1)),X0) = k7_relat_1(sK6(k2_zfmisc_1(sK12,sK1)),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_272])]) ).
fof(f1508,plain,
( spl16_221
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2) = k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_221])]) ).
fof(f2036,plain,
( ! [X0] : k1_realset1(sK6(k2_zfmisc_1(sK12,sK1)),X0) = k7_relat_1(sK6(k2_zfmisc_1(sK12,sK1)),k2_zfmisc_1(X0,X0))
| ~ spl16_221
| spl16_270 ),
inference(resolution,[],[f2030,f1509]) ).
fof(f1509,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2) = k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) )
| ~ spl16_221 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f2041,plain,
( ~ spl16_271
| ~ spl16_84
| ~ spl16_258
| spl16_269 ),
inference(avatar_split_clause,[],[f2022,f2018,f1866,f654,f2038]) ).
fof(f2018,plain,
( spl16_269
<=> v1_funct_1(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_269])]) ).
fof(f2022,plain,
( ~ v1_funct_1(k2_zfmisc_1(sK12,sK1))
| ~ spl16_84
| ~ spl16_258
| spl16_269 ),
inference(forward_demodulation,[],[f2019,f2011]) ).
fof(f2019,plain,
( ~ v1_funct_1(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| spl16_269 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2032,plain,
( ~ spl16_41
| spl16_263
| ~ spl16_265 ),
inference(avatar_split_clause,[],[f1984,f1956,f1928,f381]) ).
fof(f1928,plain,
( spl16_263
<=> v1_funct_1(k2_zfmisc_1(sK12,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_263])]) ).
fof(f1984,plain,
( ~ v1_funct_1(sK12)
| spl16_263
| ~ spl16_265 ),
inference(superposition,[],[f1930,f1958]) ).
fof(f1930,plain,
( ~ v1_funct_1(k2_zfmisc_1(sK12,sK0))
| spl16_263 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f2031,plain,
( ~ spl16_270
| ~ spl16_84
| spl16_140
| ~ spl16_258 ),
inference(avatar_split_clause,[],[f2026,f1866,f1065,f654,f2028]) ).
fof(f2026,plain,
( ~ v1_xboole_0(k2_zfmisc_1(sK12,sK1))
| ~ spl16_84
| spl16_140
| ~ spl16_258 ),
inference(forward_demodulation,[],[f1067,f2011]) ).
fof(f2021,plain,
( spl16_269
| ~ spl16_33
| ~ spl16_140 ),
inference(avatar_split_clause,[],[f1858,f1065,f339,f2018]) ).
fof(f1858,plain,
( v1_funct_1(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| ~ spl16_33
| ~ spl16_140 ),
inference(resolution,[],[f1066,f340]) ).
fof(f1066,plain,
( v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| ~ spl16_140 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f2003,plain,
( spl16_268
| spl16_140
| ~ spl16_228 ),
inference(avatar_split_clause,[],[f1633,f1618,f1065,f2001]) ).
fof(f1979,plain,
( spl16_267
| ~ spl16_229
| spl16_262 ),
inference(avatar_split_clause,[],[f1924,f1920,f1622,f1977]) ).
fof(f1977,plain,
( spl16_267
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK0)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK0)),X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_267])]) ).
fof(f1924,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK0)),X0),X1) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(sK12,sK0)),X0),k2_zfmisc_1(X1,X1))
| ~ spl16_229
| spl16_262 ),
inference(resolution,[],[f1922,f1623]) ).
fof(f1971,plain,
( spl16_260
| spl16_138
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f1630,f1508,f1057,f1888]) ).
fof(f1888,plain,
( spl16_260
<=> ! [X0] : k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0) = k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_260])]) ).
fof(f1630,plain,
( ! [X0] : k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),X0) = k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)),k2_zfmisc_1(X0,X0))
| spl16_138
| ~ spl16_221 ),
inference(resolution,[],[f1059,f1509]) ).
fof(f1969,plain,
( spl16_266
| ~ spl16_84
| ~ spl16_200 ),
inference(avatar_split_clause,[],[f1532,f1389,f654,f1966]) ).
fof(f1966,plain,
( spl16_266
<=> sK2 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_266])]) ).
fof(f1389,plain,
( spl16_200
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_200])]) ).
fof(f1532,plain,
( sK2 = sK12
| ~ spl16_84
| ~ spl16_200 ),
inference(resolution,[],[f1391,f655]) ).
fof(f1391,plain,
( v1_xboole_0(sK2)
| ~ spl16_200 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1959,plain,
( spl16_265
| ~ spl16_84
| ~ spl16_262 ),
inference(avatar_split_clause,[],[f1950,f1920,f654,f1956]) ).
fof(f1950,plain,
( sK12 = k2_zfmisc_1(sK12,sK0)
| ~ spl16_84
| ~ spl16_262 ),
inference(resolution,[],[f1921,f655]) ).
fof(f1921,plain,
( v1_xboole_0(k2_zfmisc_1(sK12,sK0))
| ~ spl16_262 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f1948,plain,
( spl16_264
| ~ spl16_221
| spl16_262 ),
inference(avatar_split_clause,[],[f1926,f1920,f1508,f1946]) ).
fof(f1946,plain,
( spl16_264
<=> ! [X0] : k1_realset1(sK6(k2_zfmisc_1(sK12,sK0)),X0) = k7_relat_1(sK6(k2_zfmisc_1(sK12,sK0)),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_264])]) ).
fof(f1926,plain,
( ! [X0] : k1_realset1(sK6(k2_zfmisc_1(sK12,sK0)),X0) = k7_relat_1(sK6(k2_zfmisc_1(sK12,sK0)),k2_zfmisc_1(X0,X0))
| ~ spl16_221
| spl16_262 ),
inference(resolution,[],[f1922,f1509]) ).
fof(f1932,plain,
( spl16_1
| ~ spl16_53
| ~ spl16_235 ),
inference(avatar_split_clause,[],[f1905,f1667,f439,f182]) ).
fof(f1667,plain,
( spl16_235
<=> v1_xboole_0(k2_zfmisc_1(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_235])]) ).
fof(f1905,plain,
( v1_xboole_0(sK0)
| ~ spl16_53
| ~ spl16_235 ),
inference(duplicate_literal_removal,[],[f1901]) ).
fof(f1901,plain,
( v1_xboole_0(sK0)
| v1_xboole_0(sK0)
| ~ spl16_53
| ~ spl16_235 ),
inference(resolution,[],[f1669,f440]) ).
fof(f1669,plain,
( v1_xboole_0(k2_zfmisc_1(sK0,sK0))
| ~ spl16_235 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1931,plain,
( ~ spl16_263
| ~ spl16_84
| ~ spl16_235
| spl16_261 ),
inference(avatar_split_clause,[],[f1913,f1909,f1667,f654,f1928]) ).
fof(f1909,plain,
( spl16_261
<=> v1_funct_1(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_261])]) ).
fof(f1913,plain,
( ~ v1_funct_1(k2_zfmisc_1(sK12,sK0))
| ~ spl16_84
| ~ spl16_235
| spl16_261 ),
inference(forward_demodulation,[],[f1910,f1902]) ).
fof(f1902,plain,
( k2_zfmisc_1(sK0,sK0) = sK12
| ~ spl16_84
| ~ spl16_235 ),
inference(resolution,[],[f1669,f655]) ).
fof(f1910,plain,
( ~ v1_funct_1(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| spl16_261 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1923,plain,
( ~ spl16_262
| ~ spl16_84
| spl16_138
| ~ spl16_235 ),
inference(avatar_split_clause,[],[f1918,f1667,f1057,f654,f1920]) ).
fof(f1918,plain,
( ~ v1_xboole_0(k2_zfmisc_1(sK12,sK0))
| ~ spl16_84
| spl16_138
| ~ spl16_235 ),
inference(forward_demodulation,[],[f1059,f1902]) ).
fof(f1912,plain,
( spl16_261
| ~ spl16_33
| ~ spl16_138 ),
inference(avatar_split_clause,[],[f1362,f1057,f339,f1909]) ).
fof(f1362,plain,
( v1_funct_1(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ spl16_33
| ~ spl16_138 ),
inference(resolution,[],[f1058,f340]) ).
fof(f1058,plain,
( v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ spl16_138 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1890,plain,
( spl16_260
| spl16_138
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f1630,f1508,f1057,f1888]) ).
fof(f1877,plain,
( spl16_259
| ~ spl16_84
| ~ spl16_238 ),
inference(avatar_split_clause,[],[f1861,f1692,f654,f1874]) ).
fof(f1692,plain,
( spl16_238
<=> v1_xboole_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_238])]) ).
fof(f1861,plain,
( sK4 = sK12
| ~ spl16_84
| ~ spl16_238 ),
inference(resolution,[],[f1694,f655]) ).
fof(f1694,plain,
( v1_xboole_0(sK4)
| ~ spl16_238 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1869,plain,
( spl16_258
| spl16_2
| ~ spl16_53
| ~ spl16_140 ),
inference(avatar_split_clause,[],[f1855,f1065,f439,f187,f1866]) ).
fof(f1855,plain,
( v1_xboole_0(sK1)
| v1_xboole_0(k2_zfmisc_1(sK1,sK1))
| ~ spl16_53
| ~ spl16_140 ),
inference(resolution,[],[f1066,f440]) ).
fof(f1853,plain,
( spl16_257
| spl16_140
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f1528,f1508,f1065,f1851]) ).
fof(f1851,plain,
( spl16_257
<=> ! [X0] : k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0) = k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_257])]) ).
fof(f1528,plain,
( ! [X0] : k1_realset1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),X0) = k7_relat_1(sK6(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)),k2_zfmisc_1(X0,X0))
| spl16_140
| ~ spl16_221 ),
inference(resolution,[],[f1509,f1067]) ).
fof(f1833,plain,
( spl16_219
| ~ spl16_43
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f1444,f1355,f390,f1495]) ).
fof(f1495,plain,
( spl16_219
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_219])]) ).
fof(f390,plain,
( spl16_43
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_43])]) ).
fof(f1355,plain,
( spl16_196
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_196])]) ).
fof(f1444,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0),X0) )
| ~ spl16_43
| ~ spl16_196 ),
inference(resolution,[],[f1356,f391]) ).
fof(f391,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl16_43 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f1356,plain,
( ! [X0] :
( r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ r2_hidden(X0,sK2) )
| ~ spl16_196 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1802,plain,
( spl16_141
| ~ spl16_44
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f1443,f1355,f394,f1078]) ).
fof(f1078,plain,
( spl16_141
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_141])]) ).
fof(f394,plain,
( spl16_44
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
fof(f1443,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) )
| ~ spl16_44
| ~ spl16_196 ),
inference(resolution,[],[f1356,f395]) ).
fof(f395,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f1794,plain,
( spl16_256
| ~ spl16_65
| ~ spl16_225 ),
inference(avatar_split_clause,[],[f1593,f1524,f532,f1792]) ).
fof(f1792,plain,
( spl16_256
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK5,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK5,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_256])]) ).
fof(f532,plain,
( spl16_65
<=> v1_relat_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_65])]) ).
fof(f1524,plain,
( spl16_225
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k7_relat_1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_225])]) ).
fof(f1593,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK5,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK5,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_65
| ~ spl16_225 ),
inference(resolution,[],[f1525,f534]) ).
fof(f534,plain,
( v1_relat_1(sK5)
| ~ spl16_65 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f1525,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k7_relat_1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl16_225 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1790,plain,
( spl16_255
| ~ spl16_48
| ~ spl16_225 ),
inference(avatar_split_clause,[],[f1592,f1524,f412,f1788]) ).
fof(f1788,plain,
( spl16_255
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_255])]) ).
fof(f412,plain,
( spl16_48
<=> v1_relat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
fof(f1592,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_48
| ~ spl16_225 ),
inference(resolution,[],[f1525,f414]) ).
fof(f414,plain,
( v1_relat_1(sK4)
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f1786,plain,
( spl16_254
| ~ spl16_64
| ~ spl16_225 ),
inference(avatar_split_clause,[],[f1591,f1524,f528,f1784]) ).
fof(f1784,plain,
( spl16_254
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_254])]) ).
fof(f528,plain,
( spl16_64
<=> v1_relat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_64])]) ).
fof(f1591,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_64
| ~ spl16_225 ),
inference(resolution,[],[f1525,f529]) ).
fof(f529,plain,
( v1_relat_1(sK3)
| ~ spl16_64 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f1782,plain,
( spl16_253
| ~ spl16_47
| ~ spl16_225 ),
inference(avatar_split_clause,[],[f1590,f1524,f408,f1780]) ).
fof(f1780,plain,
( spl16_253
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK2,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK2,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_253])]) ).
fof(f408,plain,
( spl16_47
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).
fof(f1590,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k7_relat_1(sK2,X0),X1),X2) = k7_relat_1(k7_relat_1(k7_relat_1(sK2,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_47
| ~ spl16_225 ),
inference(resolution,[],[f1525,f409]) ).
fof(f409,plain,
( v1_relat_1(sK2)
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1778,plain,
( spl16_252
| ~ spl16_65
| ~ spl16_224 ),
inference(avatar_split_clause,[],[f1576,f1520,f532,f1776]) ).
fof(f1776,plain,
( spl16_252
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK5,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK5,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_252])]) ).
fof(f1520,plain,
( spl16_224
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k7_relat_1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_224])]) ).
fof(f1576,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK5,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK5,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_65
| ~ spl16_224 ),
inference(resolution,[],[f1521,f534]) ).
fof(f1521,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k7_relat_1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl16_224 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1774,plain,
( spl16_251
| ~ spl16_48
| ~ spl16_224 ),
inference(avatar_split_clause,[],[f1575,f1520,f412,f1772]) ).
fof(f1772,plain,
( spl16_251
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_251])]) ).
fof(f1575,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_48
| ~ spl16_224 ),
inference(resolution,[],[f1521,f414]) ).
fof(f1770,plain,
( spl16_250
| ~ spl16_64
| ~ spl16_224 ),
inference(avatar_split_clause,[],[f1574,f1520,f528,f1768]) ).
fof(f1768,plain,
( spl16_250
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_250])]) ).
fof(f1574,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_64
| ~ spl16_224 ),
inference(resolution,[],[f1521,f529]) ).
fof(f1766,plain,
( spl16_249
| ~ spl16_47
| ~ spl16_224 ),
inference(avatar_split_clause,[],[f1573,f1520,f408,f1764]) ).
fof(f1764,plain,
( spl16_249
<=> ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK2,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK2,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_249])]) ).
fof(f1573,plain,
( ! [X2,X0,X1] : k1_realset1(k7_relat_1(k1_realset1(sK2,X0),X1),X2) = k7_relat_1(k7_relat_1(k1_realset1(sK2,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_47
| ~ spl16_224 ),
inference(resolution,[],[f1521,f409]) ).
fof(f1762,plain,
( spl16_248
| ~ spl16_65
| ~ spl16_223 ),
inference(avatar_split_clause,[],[f1559,f1516,f532,f1760]) ).
fof(f1760,plain,
( spl16_248
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK5,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK5,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_248])]) ).
fof(f1516,plain,
( spl16_223
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k1_realset1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_223])]) ).
fof(f1559,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK5,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK5,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_65
| ~ spl16_223 ),
inference(resolution,[],[f1517,f534]) ).
fof(f1517,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k1_realset1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl16_223 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1758,plain,
( spl16_247
| ~ spl16_48
| ~ spl16_223 ),
inference(avatar_split_clause,[],[f1558,f1516,f412,f1756]) ).
fof(f1756,plain,
( spl16_247
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_247])]) ).
fof(f1558,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_48
| ~ spl16_223 ),
inference(resolution,[],[f1517,f414]) ).
fof(f1754,plain,
( spl16_246
| ~ spl16_64
| ~ spl16_223 ),
inference(avatar_split_clause,[],[f1557,f1516,f528,f1752]) ).
fof(f1752,plain,
( spl16_246
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_246])]) ).
fof(f1557,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_64
| ~ spl16_223 ),
inference(resolution,[],[f1517,f529]) ).
fof(f1750,plain,
( spl16_245
| ~ spl16_47
| ~ spl16_223 ),
inference(avatar_split_clause,[],[f1556,f1516,f408,f1748]) ).
fof(f1748,plain,
( spl16_245
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK2,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK2,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_245])]) ).
fof(f1556,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k7_relat_1(sK2,X0),X1),X2) = k7_relat_1(k1_realset1(k7_relat_1(sK2,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_47
| ~ spl16_223 ),
inference(resolution,[],[f1517,f409]) ).
fof(f1746,plain,
( spl16_244
| ~ spl16_47
| ~ spl16_222 ),
inference(avatar_split_clause,[],[f1539,f1512,f408,f1744]) ).
fof(f1744,plain,
( spl16_244
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK2,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK2,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_244])]) ).
fof(f1512,plain,
( spl16_222
<=> ! [X0,X3,X2,X1] :
( k1_realset1(k1_realset1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_222])]) ).
fof(f1539,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK2,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK2,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_47
| ~ spl16_222 ),
inference(resolution,[],[f1513,f409]) ).
fof(f1513,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k1_realset1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3)) )
| ~ spl16_222 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1731,plain,
( spl16_243
| ~ spl16_84
| ~ spl16_230 ),
inference(avatar_split_clause,[],[f1662,f1626,f654,f1728]) ).
fof(f1626,plain,
( spl16_230
<=> v1_xboole_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_230])]) ).
fof(f1662,plain,
( sK3 = sK12
| ~ spl16_84
| ~ spl16_230 ),
inference(resolution,[],[f1628,f655]) ).
fof(f1628,plain,
( v1_xboole_0(sK3)
| ~ spl16_230 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1726,plain,
( spl16_242
| ~ spl16_47
| ~ spl16_84
| ~ spl16_200
| ~ spl16_222 ),
inference(avatar_split_clause,[],[f1551,f1512,f1389,f654,f408,f1724]) ).
fof(f1724,plain,
( spl16_242
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK12,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK12,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_242])]) ).
fof(f1551,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK12,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK12,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_47
| ~ spl16_84
| ~ spl16_200
| ~ spl16_222 ),
inference(forward_demodulation,[],[f1539,f1532]) ).
fof(f1722,plain,
( spl16_241
| ~ spl16_65
| ~ spl16_222 ),
inference(avatar_split_clause,[],[f1542,f1512,f532,f1720]) ).
fof(f1720,plain,
( spl16_241
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK5,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK5,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_241])]) ).
fof(f1542,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK5,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK5,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_65
| ~ spl16_222 ),
inference(resolution,[],[f1513,f534]) ).
fof(f1718,plain,
( spl16_240
| ~ spl16_48
| ~ spl16_222 ),
inference(avatar_split_clause,[],[f1541,f1512,f412,f1716]) ).
fof(f1716,plain,
( spl16_240
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_240])]) ).
fof(f1541,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK4,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK4,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_48
| ~ spl16_222 ),
inference(resolution,[],[f1513,f414]) ).
fof(f1713,plain,
( spl16_239
| ~ spl16_64
| ~ spl16_222 ),
inference(avatar_split_clause,[],[f1540,f1512,f528,f1711]) ).
fof(f1711,plain,
( spl16_239
<=> ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_239])]) ).
fof(f1540,plain,
( ! [X2,X0,X1] : k1_realset1(k1_realset1(k1_realset1(sK3,X0),X1),X2) = k7_relat_1(k1_realset1(k1_realset1(sK3,X0),X1),k2_zfmisc_1(X2,X2))
| ~ spl16_64
| ~ spl16_222 ),
inference(resolution,[],[f1513,f529]) ).
fof(f1695,plain,
( spl16_238
| ~ spl16_87
| ~ spl16_139 ),
inference(avatar_split_clause,[],[f1690,f1062,f699,f1692]) ).
fof(f1062,plain,
( spl16_139
<=> ! [X0] : ~ r2_hidden(X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_139])]) ).
fof(f1690,plain,
( v1_xboole_0(sK4)
| ~ spl16_87
| ~ spl16_139 ),
inference(resolution,[],[f1063,f700]) ).
fof(f1063,plain,
( ! [X0] : ~ r2_hidden(X0,sK4)
| ~ spl16_139 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1689,plain,
( spl16_140
| spl16_237
| ~ spl16_52
| ~ spl16_144 ),
inference(avatar_split_clause,[],[f1096,f1090,f435,f1687,f1065]) ).
fof(f1687,plain,
( spl16_237
<=> ! [X0] :
( ~ r2_hidden(X0,sK5)
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_237])]) ).
fof(f1090,plain,
( spl16_144
<=> ! [X0] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_144])]) ).
fof(f1096,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) )
| ~ spl16_52
| ~ spl16_144 ),
inference(resolution,[],[f1091,f436]) ).
fof(f1091,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| ~ r2_hidden(X0,sK5) )
| ~ spl16_144 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1680,plain,
( spl16_140
| spl16_236
| ~ spl16_52
| ~ spl16_143 ),
inference(avatar_split_clause,[],[f1095,f1086,f435,f1678,f1065]) ).
fof(f1678,plain,
( spl16_236
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_236])]) ).
fof(f1086,plain,
( spl16_143
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_143])]) ).
fof(f1095,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) )
| ~ spl16_52
| ~ spl16_143 ),
inference(resolution,[],[f1087,f436]) ).
fof(f1087,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl16_143 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1670,plain,
( spl16_235
| spl16_1
| ~ spl16_53
| ~ spl16_138 ),
inference(avatar_split_clause,[],[f1359,f1057,f439,f182,f1667]) ).
fof(f1359,plain,
( v1_xboole_0(sK0)
| v1_xboole_0(k2_zfmisc_1(sK0,sK0))
| ~ spl16_53
| ~ spl16_138 ),
inference(resolution,[],[f1058,f440]) ).
fof(f1659,plain,
( spl16_138
| spl16_234
| ~ spl16_52
| ~ spl16_142 ),
inference(avatar_split_clause,[],[f1094,f1082,f435,f1657,f1057]) ).
fof(f1657,plain,
( spl16_234
<=> ! [X0] :
( ~ r2_hidden(X0,sK3)
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_234])]) ).
fof(f1082,plain,
( spl16_142
<=> ! [X0] :
( ~ r2_hidden(X0,sK3)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_142])]) ).
fof(f1094,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) )
| ~ spl16_52
| ~ spl16_142 ),
inference(resolution,[],[f1083,f436]) ).
fof(f1083,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ r2_hidden(X0,sK3) )
| ~ spl16_142 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1655,plain,
( spl16_233
| ~ spl16_67
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f730,f715,f551,f1653]) ).
fof(f1653,plain,
( spl16_233
<=> ! [X0,X1] :
( ~ r5_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ r4_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| r6_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_233])]) ).
fof(f551,plain,
( spl16_67
<=> ! [X2,X0,X1] :
( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_67])]) ).
fof(f715,plain,
( spl16_91
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_91])]) ).
fof(f730,plain,
( ! [X0,X1] :
( ~ r5_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ r4_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| r6_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_67
| ~ spl16_91 ),
inference(resolution,[],[f716,f552]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| r6_binop_1(X0,X1,X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_67 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f716,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl16_91 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f1651,plain,
( spl16_232
| ~ spl16_63
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f732,f715,f524,f1649]) ).
fof(f1649,plain,
( spl16_232
<=> ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| r4_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_232])]) ).
fof(f524,plain,
( spl16_63
<=> ! [X2,X0,X1] :
( r4_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_63])]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| r4_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_63
| ~ spl16_91 ),
inference(resolution,[],[f716,f525]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(X0,X1,X2)
| r4_binop_1(X0,X1,X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_63 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f1647,plain,
( spl16_231
| ~ spl16_66
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f731,f715,f537,f1645]) ).
fof(f1645,plain,
( spl16_231
<=> ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| r5_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_231])]) ).
fof(f537,plain,
( spl16_66
<=> ! [X2,X0,X1] :
( r5_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_66])]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| r5_binop_1(X0,X1,sK9(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK9(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_66
| ~ spl16_91 ),
inference(resolution,[],[f716,f538]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(X0,X1,X2)
| r5_binop_1(X0,X1,X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_66 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1629,plain,
( spl16_230
| ~ spl16_87
| ~ spl16_197 ),
inference(avatar_split_clause,[],[f1500,f1366,f699,f1626]) ).
fof(f1366,plain,
( spl16_197
<=> ! [X0] : ~ r2_hidden(X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_197])]) ).
fof(f1500,plain,
( v1_xboole_0(sK3)
| ~ spl16_87
| ~ spl16_197 ),
inference(resolution,[],[f1367,f700]) ).
fof(f1367,plain,
( ! [X0] : ~ r2_hidden(X0,sK3)
| ~ spl16_197 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1624,plain,
( spl16_229
| ~ spl16_110
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f982,f952,f871,f1622]) ).
fof(f871,plain,
( spl16_110
<=> ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_110])]) ).
fof(f952,plain,
( spl16_123
<=> ! [X2,X0,X1] :
( k1_realset1(k7_relat_1(X0,X1),X2) = k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_123])]) ).
fof(f982,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl16_110
| ~ spl16_123 ),
inference(resolution,[],[f953,f872]) ).
fof(f872,plain,
( ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl16_110 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f953,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k7_relat_1(X0,X1),X2) = k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2)) )
| ~ spl16_123 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1620,plain,
( spl16_228
| ~ spl16_110
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f969,f948,f871,f1618]) ).
fof(f948,plain,
( spl16_122
<=> ! [X2,X0,X1] :
( k1_realset1(k1_realset1(X0,X1),X2) = k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_122])]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2),X3) = k7_relat_1(k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2),k2_zfmisc_1(X3,X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl16_110
| ~ spl16_122 ),
inference(resolution,[],[f949,f872]) ).
fof(f949,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(k1_realset1(X0,X1),X2) = k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2)) )
| ~ spl16_122 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f1611,plain,
( spl16_227
| ~ spl16_89
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f983,f952,f707,f1609]) ).
fof(f1609,plain,
( spl16_227
<=> ! [X0,X3,X2,X1] : k1_realset1(k7_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k7_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_227])]) ).
fof(f983,plain,
( ! [X2,X3,X0,X1] : k1_realset1(k7_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k7_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3))
| ~ spl16_89
| ~ spl16_123 ),
inference(resolution,[],[f953,f708]) ).
fof(f1607,plain,
( spl16_226
| ~ spl16_89
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f970,f948,f707,f1605]) ).
fof(f1605,plain,
( spl16_226
<=> ! [X0,X3,X2,X1] : k1_realset1(k1_realset1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k1_realset1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_226])]) ).
fof(f970,plain,
( ! [X2,X3,X0,X1] : k1_realset1(k1_realset1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3) = k7_relat_1(k1_realset1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3))
| ~ spl16_89
| ~ spl16_122 ),
inference(resolution,[],[f949,f708]) ).
fof(f1526,plain,
( spl16_225
| ~ spl16_40
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f977,f952,f377,f1524]) ).
fof(f377,plain,
( spl16_40
<=> ! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_40])]) ).
fof(f977,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k7_relat_1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl16_40
| ~ spl16_123 ),
inference(resolution,[],[f953,f378]) ).
fof(f378,plain,
( ! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) )
| ~ spl16_40 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f1522,plain,
( spl16_224
| ~ spl16_42
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f976,f952,f386,f1520]) ).
fof(f386,plain,
( spl16_42
<=> ! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
fof(f976,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k7_relat_1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k7_relat_1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl16_42
| ~ spl16_123 ),
inference(resolution,[],[f953,f387]) ).
fof(f387,plain,
( ! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) )
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f1518,plain,
( spl16_223
| ~ spl16_40
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f964,f948,f377,f1516]) ).
fof(f964,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k1_realset1(k7_relat_1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k7_relat_1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl16_40
| ~ spl16_122 ),
inference(resolution,[],[f949,f378]) ).
fof(f1514,plain,
( spl16_222
| ~ spl16_42
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f963,f948,f386,f1512]) ).
fof(f963,plain,
( ! [X2,X3,X0,X1] :
( k1_realset1(k1_realset1(k1_realset1(X0,X1),X2),X3) = k7_relat_1(k1_realset1(k1_realset1(X0,X1),X2),k2_zfmisc_1(X3,X3))
| ~ v1_relat_1(X0) )
| ~ spl16_42
| ~ spl16_122 ),
inference(resolution,[],[f949,f387]) ).
fof(f1510,plain,
( spl16_221
| ~ spl16_62
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f899,f871,f514,f1508]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_realset1(sK6(k2_zfmisc_1(X0,X1)),X2) = k7_relat_1(sK6(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) )
| ~ spl16_62
| ~ spl16_110 ),
inference(resolution,[],[f872,f515]) ).
fof(f1504,plain,
( spl16_220
| ~ spl16_62
| ~ spl16_89 ),
inference(avatar_split_clause,[],[f727,f707,f514,f1502]) ).
fof(f1502,plain,
( spl16_220
<=> ! [X2,X0,X1] : k1_realset1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) = k7_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_220])]) ).
fof(f727,plain,
( ! [X2,X0,X1] : k1_realset1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) = k7_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X2,X2))
| ~ spl16_62
| ~ spl16_89 ),
inference(resolution,[],[f708,f515]) ).
fof(f1497,plain,
( spl16_219
| ~ spl16_43
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f1444,f1355,f390,f1495]) ).
fof(f1490,plain,
( spl16_218
| ~ spl16_43
| ~ spl16_121 ),
inference(avatar_split_clause,[],[f962,f944,f390,f1488]) ).
fof(f1488,plain,
( spl16_218
<=> ! [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,[spl16_218])]) ).
fof(f944,plain,
( spl16_121
<=> ! [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,[spl16_121])]) ).
fof(f962,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) )
| ~ spl16_43
| ~ spl16_121 ),
inference(resolution,[],[f945,f391]) ).
fof(f945,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) )
| ~ spl16_121 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1485,plain,
( spl16_170
| ~ spl16_16
| ~ spl16_5
| ~ spl16_3
| spl16_217
| ~ spl16_17
| ~ spl16_10
| ~ spl16_128 ),
inference(avatar_split_clause,[],[f1017,f1011,f227,f262,f1483,f192,f202,f257,f1241]) ).
fof(f1241,plain,
( spl16_170
<=> r4_binop_1(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_170])]) ).
fof(f257,plain,
( spl16_16
<=> v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f202,plain,
( spl16_5
<=> v1_funct_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f192,plain,
( spl16_3
<=> v1_funct_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f262,plain,
( spl16_17
<=> m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f227,plain,
( spl16_10
<=> k1_realset1(sK2,sK1) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f1011,plain,
( spl16_128
<=> ! [X0,X1] :
( ~ r4_binop_1(X0,X1,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| r4_binop_1(sK1,k1_realset1(X1,sK1),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_128])]) ).
fof(f1017,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,sK2,sK3)
| r4_binop_1(sK1,sK4,sK5) )
| ~ spl16_10
| ~ spl16_128 ),
inference(superposition,[],[f1012,f229]) ).
fof(f229,plain,
( k1_realset1(sK2,sK1) = sK4
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f1012,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,X1,sK3)
| r4_binop_1(sK1,k1_realset1(X1,sK1),sK5) )
| ~ spl16_128 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1481,plain,
( ~ spl16_162
| spl16_163
| ~ spl16_213
| ~ spl16_18
| ~ spl16_6
| ~ spl16_19
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f859,f855,f272,f207,f267,f1466,f1197,f1193]) ).
fof(f1193,plain,
( spl16_162
<=> r4_binop_1(sK1,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_162])]) ).
fof(f1197,plain,
( spl16_163
<=> r6_binop_1(sK1,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_163])]) ).
fof(f1466,plain,
( spl16_213
<=> r5_binop_1(sK1,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_213])]) ).
fof(f267,plain,
( spl16_18
<=> v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f207,plain,
( spl16_6
<=> v1_funct_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f272,plain,
( spl16_19
<=> m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f855,plain,
( spl16_108
<=> ! [X0] :
( ~ r5_binop_1(sK1,X0,sK4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| r6_binop_1(sK1,X0,sK4)
| ~ r4_binop_1(sK1,X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_108])]) ).
fof(f859,plain,
( ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,sK5,sK4)
| r6_binop_1(sK1,sK5,sK4)
| ~ r4_binop_1(sK1,sK5,sK4)
| ~ spl16_19
| ~ spl16_108 ),
inference(resolution,[],[f856,f274]) ).
fof(f274,plain,
( m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f856,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,X0,sK4)
| r6_binop_1(sK1,X0,sK4)
| ~ r4_binop_1(sK1,X0,sK4) )
| ~ spl16_108 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f1480,plain,
( spl16_162
| ~ spl16_18
| ~ spl16_6
| ~ spl16_4
| spl16_216
| ~ spl16_19
| ~ spl16_11
| ~ spl16_127 ),
inference(avatar_split_clause,[],[f1008,f1004,f232,f272,f1478,f197,f207,f267,f1193]) ).
fof(f197,plain,
( spl16_4
<=> v1_funct_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f1478,plain,
( spl16_216
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK3,sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_216])]) ).
fof(f232,plain,
( spl16_11
<=> k1_realset1(sK3,sK1) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f1004,plain,
( spl16_127
<=> ! [X0,X1] :
( ~ r4_binop_1(X0,X1,sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| r4_binop_1(sK1,k1_realset1(X1,sK1),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_127])]) ).
fof(f1008,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,sK3,sK2)
| r4_binop_1(sK1,sK5,sK4) )
| ~ spl16_11
| ~ spl16_127 ),
inference(superposition,[],[f1005,f234]) ).
fof(f234,plain,
( k1_realset1(sK3,sK1) = sK5
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f1005,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,X1,sK2)
| r4_binop_1(sK1,k1_realset1(X1,sK1),sK4) )
| ~ spl16_127 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1476,plain,
( spl16_171
| ~ spl16_16
| ~ spl16_5
| ~ spl16_3
| spl16_215
| ~ spl16_17
| ~ spl16_10
| ~ spl16_126 ),
inference(avatar_split_clause,[],[f1000,f997,f227,f262,f1474,f192,f202,f257,f1245]) ).
fof(f997,plain,
( spl16_126
<=> ! [X0,X1] :
( ~ r5_binop_1(X0,X1,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| r5_binop_1(sK1,k1_realset1(X1,sK1),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_126])]) ).
fof(f1000,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,sK2,sK3)
| r5_binop_1(sK1,sK4,sK5) )
| ~ spl16_10
| ~ spl16_126 ),
inference(superposition,[],[f998,f229]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,X1,sK3)
| r5_binop_1(sK1,k1_realset1(X1,sK1),sK5) )
| ~ spl16_126 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1472,plain,
( spl16_213
| ~ spl16_18
| ~ spl16_6
| ~ spl16_4
| spl16_214
| ~ spl16_19
| ~ spl16_11
| ~ spl16_125 ),
inference(avatar_split_clause,[],[f994,f990,f232,f272,f1470,f197,f207,f267,f1466]) ).
fof(f1470,plain,
( spl16_214
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK3,sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_214])]) ).
fof(f990,plain,
( spl16_125
<=> ! [X0,X1] :
( ~ r5_binop_1(X0,X1,sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| r5_binop_1(sK1,k1_realset1(X1,sK1),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_125])]) ).
fof(f994,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,sK3,sK2)
| r5_binop_1(sK1,sK5,sK4) )
| ~ spl16_11
| ~ spl16_125 ),
inference(superposition,[],[f991,f234]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,X1,sK2)
| r5_binop_1(sK1,k1_realset1(X1,sK1),sK4) )
| ~ spl16_125 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1449,plain,
( spl16_212
| ~ spl16_28
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f987,f952,f317,f1447]) ).
fof(f1447,plain,
( spl16_212
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK15,X0),X1) = k7_relat_1(k7_relat_1(sK15,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_212])]) ).
fof(f317,plain,
( spl16_28
<=> v1_relat_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f987,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK15,X0),X1) = k7_relat_1(k7_relat_1(sK15,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_28
| ~ spl16_123 ),
inference(resolution,[],[f953,f319]) ).
fof(f319,plain,
( v1_relat_1(sK15)
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f1441,plain,
( spl16_211
| ~ spl16_26
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f986,f952,f307,f1439]) ).
fof(f1439,plain,
( spl16_211
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK14,X0),X1) = k7_relat_1(k7_relat_1(sK14,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_211])]) ).
fof(f307,plain,
( spl16_26
<=> v1_relat_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f986,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK14,X0),X1) = k7_relat_1(k7_relat_1(sK14,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_26
| ~ spl16_123 ),
inference(resolution,[],[f953,f309]) ).
fof(f309,plain,
( v1_relat_1(sK14)
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f1437,plain,
( spl16_210
| ~ spl16_77
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f984,f952,f612,f1435]) ).
fof(f1435,plain,
( spl16_210
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK12,X0),X1) = k7_relat_1(k7_relat_1(sK12,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_210])]) ).
fof(f612,plain,
( spl16_77
<=> v1_relat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_77])]) ).
fof(f984,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK12,X0),X1) = k7_relat_1(k7_relat_1(sK12,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_77
| ~ spl16_123 ),
inference(resolution,[],[f953,f614]) ).
fof(f614,plain,
( v1_relat_1(sK12)
| ~ spl16_77 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f1433,plain,
( spl16_209
| ~ spl16_28
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f974,f948,f317,f1431]) ).
fof(f1431,plain,
( spl16_209
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK15,X0),X1) = k7_relat_1(k1_realset1(sK15,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_209])]) ).
fof(f974,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK15,X0),X1) = k7_relat_1(k1_realset1(sK15,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_28
| ~ spl16_122 ),
inference(resolution,[],[f949,f319]) ).
fof(f1429,plain,
( spl16_208
| ~ spl16_26
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f973,f948,f307,f1427]) ).
fof(f1427,plain,
( spl16_208
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK14,X0),X1) = k7_relat_1(k1_realset1(sK14,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_208])]) ).
fof(f973,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK14,X0),X1) = k7_relat_1(k1_realset1(sK14,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_26
| ~ spl16_122 ),
inference(resolution,[],[f949,f309]) ).
fof(f1425,plain,
( spl16_207
| ~ spl16_77
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f971,f948,f612,f1423]) ).
fof(f1423,plain,
( spl16_207
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK12,X0),X1) = k7_relat_1(k1_realset1(sK12,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_207])]) ).
fof(f971,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK12,X0),X1) = k7_relat_1(k1_realset1(sK12,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_77
| ~ spl16_122 ),
inference(resolution,[],[f949,f614]) ).
fof(f1421,plain,
( ~ spl16_164
| spl16_165
| ~ spl16_203
| ~ spl16_18
| ~ spl16_6
| ~ spl16_19
| ~ spl16_109 ),
inference(avatar_split_clause,[],[f867,f863,f272,f207,f267,f1405,f1206,f1202]) ).
fof(f1202,plain,
( spl16_164
<=> r4_binop_1(sK1,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_164])]) ).
fof(f1206,plain,
( spl16_165
<=> r6_binop_1(sK1,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_165])]) ).
fof(f1405,plain,
( spl16_203
<=> r5_binop_1(sK1,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_203])]) ).
fof(f863,plain,
( spl16_109
<=> ! [X0] :
( ~ r5_binop_1(sK1,X0,sK5)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| r6_binop_1(sK1,X0,sK5)
| ~ r4_binop_1(sK1,X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_109])]) ).
fof(f867,plain,
( ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,sK5,sK5)
| r6_binop_1(sK1,sK5,sK5)
| ~ r4_binop_1(sK1,sK5,sK5)
| ~ spl16_19
| ~ spl16_109 ),
inference(resolution,[],[f864,f274]) ).
fof(f864,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,X0,sK5)
| r6_binop_1(sK1,X0,sK5)
| ~ r4_binop_1(sK1,X0,sK5) )
| ~ spl16_109 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f1420,plain,
( spl16_164
| ~ spl16_18
| ~ spl16_6
| ~ spl16_4
| spl16_206
| ~ spl16_19
| ~ spl16_11
| ~ spl16_128 ),
inference(avatar_split_clause,[],[f1019,f1011,f232,f272,f1418,f197,f207,f267,f1202]) ).
fof(f1418,plain,
( spl16_206
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK3,sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_206])]) ).
fof(f1019,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,sK3,sK3)
| r4_binop_1(sK1,sK5,sK5) )
| ~ spl16_11
| ~ spl16_128 ),
inference(duplicate_literal_removal,[],[f1018]) ).
fof(f1018,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,sK3,sK3)
| r4_binop_1(sK1,sK5,sK5) )
| ~ spl16_11
| ~ spl16_128 ),
inference(superposition,[],[f1012,f234]) ).
fof(f1416,plain,
( ~ spl16_160
| spl16_161
| ~ spl16_201
| ~ spl16_16
| ~ spl16_5
| ~ spl16_17
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f858,f855,f262,f202,f257,f1397,f1188,f1184]) ).
fof(f1184,plain,
( spl16_160
<=> r4_binop_1(sK1,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_160])]) ).
fof(f1188,plain,
( spl16_161
<=> r6_binop_1(sK1,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_161])]) ).
fof(f1397,plain,
( spl16_201
<=> r5_binop_1(sK1,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_201])]) ).
fof(f858,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,sK4,sK4)
| r6_binop_1(sK1,sK4,sK4)
| ~ r4_binop_1(sK1,sK4,sK4)
| ~ spl16_17
| ~ spl16_108 ),
inference(resolution,[],[f856,f264]) ).
fof(f264,plain,
( m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f1415,plain,
( spl16_160
| ~ spl16_16
| ~ spl16_5
| ~ spl16_3
| spl16_205
| ~ spl16_17
| ~ spl16_10
| ~ spl16_127 ),
inference(avatar_split_clause,[],[f1009,f1004,f227,f262,f1413,f192,f202,f257,f1184]) ).
fof(f1413,plain,
( spl16_205
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r4_binop_1(X0,sK2,sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_205])]) ).
fof(f1009,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,sK2,sK2)
| r4_binop_1(sK1,sK4,sK4) )
| ~ spl16_10
| ~ spl16_127 ),
inference(duplicate_literal_removal,[],[f1007]) ).
fof(f1007,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,sK2,sK2)
| r4_binop_1(sK1,sK4,sK4) )
| ~ spl16_10
| ~ spl16_127 ),
inference(superposition,[],[f1005,f229]) ).
fof(f1411,plain,
( spl16_203
| ~ spl16_18
| ~ spl16_6
| ~ spl16_4
| spl16_204
| ~ spl16_19
| ~ spl16_11
| ~ spl16_126 ),
inference(avatar_split_clause,[],[f1002,f997,f232,f272,f1409,f197,f207,f267,f1405]) ).
fof(f1409,plain,
( spl16_204
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK3,sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_204])]) ).
fof(f1002,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,sK3,sK3)
| r5_binop_1(sK1,sK5,sK5) )
| ~ spl16_11
| ~ spl16_126 ),
inference(duplicate_literal_removal,[],[f1001]) ).
fof(f1001,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,sK3,sK3)
| r5_binop_1(sK1,sK5,sK5) )
| ~ spl16_11
| ~ spl16_126 ),
inference(superposition,[],[f998,f234]) ).
fof(f1403,plain,
( spl16_201
| ~ spl16_16
| ~ spl16_5
| ~ spl16_3
| spl16_202
| ~ spl16_17
| ~ spl16_10
| ~ spl16_125 ),
inference(avatar_split_clause,[],[f995,f990,f227,f262,f1401,f192,f202,f257,f1397]) ).
fof(f1401,plain,
( spl16_202
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r5_binop_1(X0,sK2,sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_202])]) ).
fof(f995,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,sK2,sK2)
| r5_binop_1(sK1,sK4,sK4) )
| ~ spl16_10
| ~ spl16_125 ),
inference(duplicate_literal_removal,[],[f993]) ).
fof(f993,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,sK2,sK2)
| r5_binop_1(sK1,sK4,sK4) )
| ~ spl16_10
| ~ spl16_125 ),
inference(superposition,[],[f991,f229]) ).
fof(f1392,plain,
( spl16_200
| ~ spl16_87
| ~ spl16_137 ),
inference(avatar_split_clause,[],[f1358,f1054,f699,f1389]) ).
fof(f1054,plain,
( spl16_137
<=> ! [X0] : ~ r2_hidden(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_137])]) ).
fof(f1358,plain,
( v1_xboole_0(sK2)
| ~ spl16_87
| ~ spl16_137 ),
inference(resolution,[],[f1055,f700]) ).
fof(f1055,plain,
( ! [X0] : ~ r2_hidden(X0,sK2)
| ~ spl16_137 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1376,plain,
( spl16_199
| ~ spl16_91
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f942,f934,f715,f1374]) ).
fof(f934,plain,
( spl16_120
<=> ! [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,[spl16_120])]) ).
fof(f942,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl16_91
| ~ spl16_120 ),
inference(resolution,[],[f935,f716]) ).
fof(f935,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl16_120 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1372,plain,
( spl16_198
| ~ spl16_46
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f941,f934,f402,f1370]) ).
fof(f402,plain,
( spl16_46
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl16_46
| ~ spl16_120 ),
inference(resolution,[],[f935,f403]) ).
fof(f403,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f1368,plain,
( spl16_197
| ~ spl16_138
| ~ spl16_15
| ~ spl16_119 ),
inference(avatar_split_clause,[],[f928,f924,f252,f1057,f1366]) ).
fof(f924,plain,
( spl16_119
<=> ! [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,[spl16_119])]) ).
fof(f928,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ r2_hidden(X0,sK3) )
| ~ spl16_15
| ~ spl16_119 ),
inference(resolution,[],[f925,f254]) ).
fof(f925,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl16_119 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1357,plain,
( spl16_138
| spl16_196
| ~ spl16_52
| ~ spl16_141 ),
inference(avatar_split_clause,[],[f1093,f1078,f435,f1355,f1057]) ).
fof(f1093,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) )
| ~ spl16_52
| ~ spl16_141 ),
inference(resolution,[],[f1079,f436]) ).
fof(f1079,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ r2_hidden(X0,sK2) )
| ~ spl16_141 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1353,plain,
( spl16_195
| ~ spl16_43
| ~ spl16_118 ),
inference(avatar_split_clause,[],[f922,f914,f390,f1351]) ).
fof(f1351,plain,
( spl16_195
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_195])]) ).
fof(f914,plain,
( spl16_118
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_118])]) ).
fof(f922,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK6(X0)) )
| ~ spl16_43
| ~ spl16_118 ),
inference(resolution,[],[f915,f391]) ).
fof(f915,plain,
( ! [X0] :
( r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl16_118 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f1349,plain,
( spl16_194
| ~ spl16_43
| ~ spl16_117 ),
inference(avatar_split_clause,[],[f919,f909,f390,f1347]) ).
fof(f919,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl16_43
| ~ spl16_117 ),
inference(resolution,[],[f910,f391]) ).
fof(f1345,plain,
( spl16_193
| ~ spl16_87
| ~ spl16_112 ),
inference(avatar_split_clause,[],[f901,f879,f699,f1343]) ).
fof(f879,plain,
( spl16_112
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_112])]) ).
fof(f901,plain,
( ! [X0] :
( m1_subset_1(sK7(sK6(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK6(X0)) )
| ~ spl16_87
| ~ spl16_112 ),
inference(resolution,[],[f880,f700]) ).
fof(f880,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl16_112 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f1341,plain,
( spl16_192
| ~ spl16_87
| ~ spl16_105 ),
inference(avatar_split_clause,[],[f835,f831,f699,f1339]) ).
fof(f831,plain,
( spl16_105
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_105])]) ).
fof(f835,plain,
( ! [X0] :
( m1_subset_1(sK7(sK7(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) )
| ~ spl16_87
| ~ spl16_105 ),
inference(resolution,[],[f832,f700]) ).
fof(f832,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl16_105 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1335,plain,
( spl16_191
| ~ spl16_91
| ~ spl16_119 ),
inference(avatar_split_clause,[],[f932,f924,f715,f1333]) ).
fof(f932,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) )
| ~ spl16_91
| ~ spl16_119 ),
inference(resolution,[],[f925,f716]) ).
fof(f1331,plain,
( spl16_190
| ~ spl16_46
| ~ spl16_119 ),
inference(avatar_split_clause,[],[f931,f924,f402,f1329]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) )
| ~ spl16_46
| ~ spl16_119 ),
inference(resolution,[],[f925,f403]) ).
fof(f1327,plain,
( spl16_186
| ~ spl16_187
| ~ spl16_188
| ~ spl16_189
| ~ spl16_91
| ~ spl16_98 ),
inference(avatar_split_clause,[],[f783,f777,f715,f1324,f1320,f1316,f1312]) ).
fof(f1312,plain,
( spl16_186
<=> r4_binop_1(sK1,sK9(k2_zfmisc_1(sK1,sK1),sK1),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_186])]) ).
fof(f1316,plain,
( spl16_187
<=> r6_binop_1(sK1,sK9(k2_zfmisc_1(sK1,sK1),sK1),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_187])]) ).
fof(f1320,plain,
( spl16_188
<=> v1_funct_2(sK9(k2_zfmisc_1(sK1,sK1),sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_188])]) ).
fof(f1324,plain,
( spl16_189
<=> v1_funct_1(sK9(k2_zfmisc_1(sK1,sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_189])]) ).
fof(f777,plain,
( spl16_98
<=> ! [X0] :
( ~ r6_binop_1(sK1,X0,sK4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| r4_binop_1(sK1,X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_98])]) ).
fof(f783,plain,
( ~ v1_funct_1(sK9(k2_zfmisc_1(sK1,sK1),sK1))
| ~ v1_funct_2(sK9(k2_zfmisc_1(sK1,sK1),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,sK9(k2_zfmisc_1(sK1,sK1),sK1),sK4)
| r4_binop_1(sK1,sK9(k2_zfmisc_1(sK1,sK1),sK1),sK4)
| ~ spl16_91
| ~ spl16_98 ),
inference(resolution,[],[f778,f716]) ).
fof(f778,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,X0,sK4)
| r4_binop_1(sK1,X0,sK4) )
| ~ spl16_98 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f1310,plain,
( spl16_182
| ~ spl16_183
| ~ spl16_184
| ~ spl16_185
| ~ spl16_46
| ~ spl16_98 ),
inference(avatar_split_clause,[],[f782,f777,f402,f1307,f1303,f1299,f1295]) ).
fof(f1295,plain,
( spl16_182
<=> r4_binop_1(sK1,sK10(k2_zfmisc_1(sK1,sK1),sK1),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_182])]) ).
fof(f1299,plain,
( spl16_183
<=> r6_binop_1(sK1,sK10(k2_zfmisc_1(sK1,sK1),sK1),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_183])]) ).
fof(f1303,plain,
( spl16_184
<=> v1_funct_2(sK10(k2_zfmisc_1(sK1,sK1),sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_184])]) ).
fof(f1307,plain,
( spl16_185
<=> v1_funct_1(sK10(k2_zfmisc_1(sK1,sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_185])]) ).
fof(f782,plain,
( ~ v1_funct_1(sK10(k2_zfmisc_1(sK1,sK1),sK1))
| ~ v1_funct_2(sK10(k2_zfmisc_1(sK1,sK1),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,sK10(k2_zfmisc_1(sK1,sK1),sK1),sK4)
| r4_binop_1(sK1,sK10(k2_zfmisc_1(sK1,sK1),sK1),sK4)
| ~ spl16_46
| ~ spl16_98 ),
inference(resolution,[],[f778,f403]) ).
fof(f1293,plain,
( spl16_178
| ~ spl16_179
| ~ spl16_180
| ~ spl16_181
| ~ spl16_91
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f765,f759,f715,f1290,f1286,f1282,f1278]) ).
fof(f1278,plain,
( spl16_178
<=> r4_binop_1(sK0,sK9(k2_zfmisc_1(sK0,sK0),sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_178])]) ).
fof(f1282,plain,
( spl16_179
<=> r6_binop_1(sK0,sK9(k2_zfmisc_1(sK0,sK0),sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_179])]) ).
fof(f1286,plain,
( spl16_180
<=> v1_funct_2(sK9(k2_zfmisc_1(sK0,sK0),sK0),k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_180])]) ).
fof(f1290,plain,
( spl16_181
<=> v1_funct_1(sK9(k2_zfmisc_1(sK0,sK0),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_181])]) ).
fof(f759,plain,
( spl16_96
<=> ! [X0] :
( ~ r6_binop_1(sK0,X0,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| r4_binop_1(sK0,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_96])]) ).
fof(f765,plain,
( ~ v1_funct_1(sK9(k2_zfmisc_1(sK0,sK0),sK0))
| ~ v1_funct_2(sK9(k2_zfmisc_1(sK0,sK0),sK0),k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK9(k2_zfmisc_1(sK0,sK0),sK0),sK2)
| r4_binop_1(sK0,sK9(k2_zfmisc_1(sK0,sK0),sK0),sK2)
| ~ spl16_91
| ~ spl16_96 ),
inference(resolution,[],[f760,f716]) ).
fof(f760,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X0,sK2)
| r4_binop_1(sK0,X0,sK2) )
| ~ spl16_96 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f1276,plain,
( spl16_174
| ~ spl16_175
| ~ spl16_176
| ~ spl16_177
| ~ spl16_46
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f764,f759,f402,f1273,f1269,f1265,f1261]) ).
fof(f1261,plain,
( spl16_174
<=> r4_binop_1(sK0,sK10(k2_zfmisc_1(sK0,sK0),sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_174])]) ).
fof(f1265,plain,
( spl16_175
<=> r6_binop_1(sK0,sK10(k2_zfmisc_1(sK0,sK0),sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_175])]) ).
fof(f1269,plain,
( spl16_176
<=> v1_funct_2(sK10(k2_zfmisc_1(sK0,sK0),sK0),k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_176])]) ).
fof(f1273,plain,
( spl16_177
<=> v1_funct_1(sK10(k2_zfmisc_1(sK0,sK0),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_177])]) ).
fof(f764,plain,
( ~ v1_funct_1(sK10(k2_zfmisc_1(sK0,sK0),sK0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(sK0,sK0),sK0),k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK10(k2_zfmisc_1(sK0,sK0),sK0),sK2)
| r4_binop_1(sK0,sK10(k2_zfmisc_1(sK0,sK0),sK0),sK2)
| ~ spl16_46
| ~ spl16_96 ),
inference(resolution,[],[f760,f403]) ).
fof(f1256,plain,
( spl16_173
| ~ spl16_87
| ~ spl16_95 ),
inference(avatar_split_clause,[],[f757,f750,f699,f1254]) ).
fof(f750,plain,
( spl16_95
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_95])]) ).
fof(f757,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) )
| ~ spl16_87
| ~ spl16_95 ),
inference(resolution,[],[f751,f700]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl16_95 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1252,plain,
( spl16_172
| ~ spl16_43
| ~ spl16_87 ),
inference(avatar_split_clause,[],[f724,f699,f390,f1250]) ).
fof(f1250,plain,
( spl16_172
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_172])]) ).
fof(f724,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK7(X0)) )
| ~ spl16_43
| ~ spl16_87 ),
inference(resolution,[],[f700,f391]) ).
fof(f1248,plain,
( ~ spl16_170
| spl16_9
| ~ spl16_171
| ~ spl16_16
| ~ spl16_5
| ~ spl16_17
| ~ spl16_109 ),
inference(avatar_split_clause,[],[f866,f863,f262,f202,f257,f1245,f222,f1241]) ).
fof(f222,plain,
( spl16_9
<=> r6_binop_1(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f866,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,sK4,sK5)
| r6_binop_1(sK1,sK4,sK5)
| ~ r4_binop_1(sK1,sK4,sK5)
| ~ spl16_17
| ~ spl16_109 ),
inference(resolution,[],[f864,f264]) ).
fof(f1230,plain,
( spl16_169
| ~ spl16_32
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f756,f746,f335,f1228]) ).
fof(f335,plain,
( spl16_32
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f746,plain,
( spl16_94
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_94])]) ).
fof(f756,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl16_32
| ~ spl16_94 ),
inference(resolution,[],[f747,f336]) ).
fof(f336,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f747,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl16_94 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1226,plain,
( spl16_168
| ~ spl16_91
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f738,f719,f715,f1224]) ).
fof(f719,plain,
( spl16_92
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_92])]) ).
fof(f738,plain,
( ! [X0,X1] : v1_relat_1(sK9(X0,X1))
| ~ spl16_91
| ~ spl16_92 ),
inference(resolution,[],[f720,f716]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl16_92 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1222,plain,
( spl16_167
| ~ spl16_46
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f737,f719,f402,f1220]) ).
fof(f737,plain,
( ! [X0,X1] : v1_relat_1(sK10(X0,X1))
| ~ spl16_46
| ~ spl16_92 ),
inference(resolution,[],[f720,f403]) ).
fof(f1214,plain,
( spl16_166
| ~ spl16_8
| ~ spl16_12
| ~ spl16_3
| ~ spl16_13
| ~ spl16_101 ),
inference(avatar_split_clause,[],[f804,f801,f242,f192,f237,f217,f1211]) ).
fof(f801,plain,
( spl16_101
<=> ! [X0] :
( ~ r6_binop_1(sK0,X0,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| r5_binop_1(sK0,X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_101])]) ).
fof(f804,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK2,sK3)
| r5_binop_1(sK0,sK2,sK3)
| ~ spl16_13
| ~ spl16_101 ),
inference(resolution,[],[f802,f244]) ).
fof(f244,plain,
( m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f802,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X0,sK3)
| r5_binop_1(sK0,X0,sK3) )
| ~ spl16_101 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f1209,plain,
( spl16_164
| ~ spl16_165
| ~ spl16_18
| ~ spl16_6
| ~ spl16_19
| ~ spl16_99 ),
inference(avatar_split_clause,[],[f789,f785,f272,f207,f267,f1206,f1202]) ).
fof(f785,plain,
( spl16_99
<=> ! [X0] :
( ~ r6_binop_1(sK1,X0,sK5)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| r4_binop_1(sK1,X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_99])]) ).
fof(f789,plain,
( ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,sK5,sK5)
| r4_binop_1(sK1,sK5,sK5)
| ~ spl16_19
| ~ spl16_99 ),
inference(resolution,[],[f786,f274]) ).
fof(f786,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,X0,sK5)
| r4_binop_1(sK1,X0,sK5) )
| ~ spl16_99 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f1200,plain,
( spl16_162
| ~ spl16_163
| ~ spl16_18
| ~ spl16_6
| ~ spl16_19
| ~ spl16_98 ),
inference(avatar_split_clause,[],[f781,f777,f272,f207,f267,f1197,f1193]) ).
fof(f781,plain,
( ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,sK5,sK4)
| r4_binop_1(sK1,sK5,sK4)
| ~ spl16_19
| ~ spl16_98 ),
inference(resolution,[],[f778,f274]) ).
fof(f1191,plain,
( spl16_160
| ~ spl16_161
| ~ spl16_16
| ~ spl16_5
| ~ spl16_17
| ~ spl16_98 ),
inference(avatar_split_clause,[],[f780,f777,f262,f202,f257,f1188,f1184]) ).
fof(f780,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r6_binop_1(sK1,sK4,sK4)
| r4_binop_1(sK1,sK4,sK4)
| ~ spl16_17
| ~ spl16_98 ),
inference(resolution,[],[f778,f264]) ).
fof(f1182,plain,
( spl16_158
| ~ spl16_159
| ~ spl16_14
| ~ spl16_4
| ~ spl16_15
| ~ spl16_97 ),
inference(avatar_split_clause,[],[f771,f767,f252,f197,f247,f1179,f1175]) ).
fof(f1175,plain,
( spl16_158
<=> r4_binop_1(sK0,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_158])]) ).
fof(f1179,plain,
( spl16_159
<=> r6_binop_1(sK0,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_159])]) ).
fof(f767,plain,
( spl16_97
<=> ! [X0] :
( ~ r6_binop_1(sK0,X0,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| r4_binop_1(sK0,X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_97])]) ).
fof(f771,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK3,sK3)
| r4_binop_1(sK0,sK3,sK3)
| ~ spl16_15
| ~ spl16_97 ),
inference(resolution,[],[f768,f254]) ).
fof(f768,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,X0,sK3)
| r4_binop_1(sK0,X0,sK3) )
| ~ spl16_97 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f1173,plain,
( spl16_157
| ~ spl16_8
| ~ spl16_12
| ~ spl16_3
| ~ spl16_13
| ~ spl16_97 ),
inference(avatar_split_clause,[],[f770,f767,f242,f192,f237,f217,f1170]) ).
fof(f770,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK2,sK3)
| r4_binop_1(sK0,sK2,sK3)
| ~ spl16_13
| ~ spl16_97 ),
inference(resolution,[],[f768,f244]) ).
fof(f1168,plain,
( spl16_155
| ~ spl16_156
| ~ spl16_14
| ~ spl16_4
| ~ spl16_15
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f763,f759,f252,f197,f247,f1165,f1161]) ).
fof(f1161,plain,
( spl16_155
<=> r4_binop_1(sK0,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_155])]) ).
fof(f1165,plain,
( spl16_156
<=> r6_binop_1(sK0,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_156])]) ).
fof(f763,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK3,sK2)
| r4_binop_1(sK0,sK3,sK2)
| ~ spl16_15
| ~ spl16_96 ),
inference(resolution,[],[f760,f254]) ).
fof(f1159,plain,
( spl16_153
| ~ spl16_154
| ~ spl16_12
| ~ spl16_3
| ~ spl16_13
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f762,f759,f242,f192,f237,f1156,f1152]) ).
fof(f1152,plain,
( spl16_153
<=> r4_binop_1(sK0,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_153])]) ).
fof(f1156,plain,
( spl16_154
<=> r6_binop_1(sK0,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_154])]) ).
fof(f762,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ r6_binop_1(sK0,sK2,sK2)
| r4_binop_1(sK0,sK2,sK2)
| ~ spl16_13
| ~ spl16_96 ),
inference(resolution,[],[f760,f244]) ).
fof(f1128,plain,
( spl16_152
| ~ spl16_65
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f981,f952,f532,f1126]) ).
fof(f1126,plain,
( spl16_152
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK5,X0),X1) = k7_relat_1(k7_relat_1(sK5,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_152])]) ).
fof(f981,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK5,X0),X1) = k7_relat_1(k7_relat_1(sK5,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_65
| ~ spl16_123 ),
inference(resolution,[],[f953,f534]) ).
fof(f1124,plain,
( spl16_151
| ~ spl16_48
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f980,f952,f412,f1122]) ).
fof(f1122,plain,
( spl16_151
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK4,X0),X1) = k7_relat_1(k7_relat_1(sK4,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_151])]) ).
fof(f980,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK4,X0),X1) = k7_relat_1(k7_relat_1(sK4,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_48
| ~ spl16_123 ),
inference(resolution,[],[f953,f414]) ).
fof(f1120,plain,
( spl16_150
| ~ spl16_64
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f979,f952,f528,f1118]) ).
fof(f1118,plain,
( spl16_150
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK3,X0),X1) = k7_relat_1(k7_relat_1(sK3,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_150])]) ).
fof(f979,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK3,X0),X1) = k7_relat_1(k7_relat_1(sK3,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_64
| ~ spl16_123 ),
inference(resolution,[],[f953,f529]) ).
fof(f1116,plain,
( spl16_149
| ~ spl16_47
| ~ spl16_123 ),
inference(avatar_split_clause,[],[f978,f952,f408,f1114]) ).
fof(f1114,plain,
( spl16_149
<=> ! [X0,X1] : k1_realset1(k7_relat_1(sK2,X0),X1) = k7_relat_1(k7_relat_1(sK2,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_149])]) ).
fof(f978,plain,
( ! [X0,X1] : k1_realset1(k7_relat_1(sK2,X0),X1) = k7_relat_1(k7_relat_1(sK2,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_47
| ~ spl16_123 ),
inference(resolution,[],[f953,f409]) ).
fof(f1112,plain,
( spl16_148
| ~ spl16_65
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f968,f948,f532,f1110]) ).
fof(f1110,plain,
( spl16_148
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK5,X0),X1) = k7_relat_1(k1_realset1(sK5,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_148])]) ).
fof(f968,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK5,X0),X1) = k7_relat_1(k1_realset1(sK5,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_65
| ~ spl16_122 ),
inference(resolution,[],[f949,f534]) ).
fof(f1108,plain,
( spl16_147
| ~ spl16_48
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f967,f948,f412,f1106]) ).
fof(f1106,plain,
( spl16_147
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK4,X0),X1) = k7_relat_1(k1_realset1(sK4,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_147])]) ).
fof(f967,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK4,X0),X1) = k7_relat_1(k1_realset1(sK4,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_48
| ~ spl16_122 ),
inference(resolution,[],[f949,f414]) ).
fof(f1104,plain,
( spl16_146
| ~ spl16_64
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f966,f948,f528,f1102]) ).
fof(f1102,plain,
( spl16_146
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK3,X0),X1) = k7_relat_1(k1_realset1(sK3,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_146])]) ).
fof(f966,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK3,X0),X1) = k7_relat_1(k1_realset1(sK3,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_64
| ~ spl16_122 ),
inference(resolution,[],[f949,f529]) ).
fof(f1100,plain,
( spl16_145
| ~ spl16_47
| ~ spl16_122 ),
inference(avatar_split_clause,[],[f965,f948,f408,f1098]) ).
fof(f1098,plain,
( spl16_145
<=> ! [X0,X1] : k1_realset1(k1_realset1(sK2,X0),X1) = k7_relat_1(k1_realset1(sK2,X0),k2_zfmisc_1(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_145])]) ).
fof(f965,plain,
( ! [X0,X1] : k1_realset1(k1_realset1(sK2,X0),X1) = k7_relat_1(k1_realset1(sK2,X0),k2_zfmisc_1(X1,X1))
| ~ spl16_47
| ~ spl16_122 ),
inference(resolution,[],[f949,f409]) ).
fof(f1092,plain,
( spl16_144
| ~ spl16_19
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f940,f934,f272,f1090]) ).
fof(f940,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) )
| ~ spl16_19
| ~ spl16_120 ),
inference(resolution,[],[f935,f274]) ).
fof(f1088,plain,
( spl16_143
| ~ spl16_17
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f939,f934,f262,f1086]) ).
fof(f939,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1)) )
| ~ spl16_17
| ~ spl16_120 ),
inference(resolution,[],[f935,f264]) ).
fof(f1084,plain,
( spl16_142
| ~ spl16_15
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f938,f934,f252,f1082]) ).
fof(f938,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) )
| ~ spl16_15
| ~ spl16_120 ),
inference(resolution,[],[f935,f254]) ).
fof(f1080,plain,
( spl16_141
| ~ spl16_13
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f937,f934,f242,f1078]) ).
fof(f937,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0)) )
| ~ spl16_13
| ~ spl16_120 ),
inference(resolution,[],[f935,f244]) ).
fof(f1068,plain,
( spl16_139
| ~ spl16_140
| ~ spl16_17
| ~ spl16_119 ),
inference(avatar_split_clause,[],[f929,f924,f262,f1065,f1062]) ).
fof(f929,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK1,sK1),sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl16_17
| ~ spl16_119 ),
inference(resolution,[],[f925,f264]) ).
fof(f1060,plain,
( spl16_137
| ~ spl16_138
| ~ spl16_13
| ~ spl16_119 ),
inference(avatar_split_clause,[],[f927,f924,f242,f1057,f1054]) ).
fof(f927,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK0,sK0),sK0))
| ~ r2_hidden(X0,sK2) )
| ~ spl16_13
| ~ spl16_119 ),
inference(resolution,[],[f925,f244]) ).
fof(f1052,plain,
( spl16_136
| ~ spl16_62
| ~ spl16_65 ),
inference(avatar_split_clause,[],[f845,f532,f514,f1050]) ).
fof(f1050,plain,
( spl16_136
<=> ! [X0] : k1_realset1(sK5,X0) = k7_relat_1(sK5,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_136])]) ).
fof(f845,plain,
( ! [X0] : k1_realset1(sK5,X0) = k7_relat_1(sK5,k2_zfmisc_1(X0,X0))
| ~ spl16_62
| ~ spl16_65 ),
inference(resolution,[],[f534,f515]) ).
fof(f1048,plain,
( ~ spl16_135
| ~ spl16_43
| ~ spl16_124 ),
inference(avatar_split_clause,[],[f1016,f956,f390,f1045]) ).
fof(f1045,plain,
( spl16_135
<=> r2_hidden(sK0,sK7(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_135])]) ).
fof(f956,plain,
( spl16_124
<=> r2_hidden(sK7(sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_124])]) ).
fof(f1016,plain,
( ~ r2_hidden(sK0,sK7(sK1))
| ~ spl16_43
| ~ spl16_124 ),
inference(resolution,[],[f958,f391]) ).
fof(f958,plain,
( r2_hidden(sK7(sK1),sK0)
| ~ spl16_124 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f1043,plain,
( spl16_134
| ~ spl16_48
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f813,f514,f412,f1041]) ).
fof(f1041,plain,
( spl16_134
<=> ! [X0] : k1_realset1(sK4,X0) = k7_relat_1(sK4,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_134])]) ).
fof(f813,plain,
( ! [X0] : k1_realset1(sK4,X0) = k7_relat_1(sK4,k2_zfmisc_1(X0,X0))
| ~ spl16_48
| ~ spl16_62 ),
inference(resolution,[],[f414,f515]) ).
fof(f1039,plain,
( spl16_133
| ~ spl16_62
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f775,f528,f514,f1037]) ).
fof(f1037,plain,
( spl16_133
<=> ! [X0] : k1_realset1(sK3,X0) = k7_relat_1(sK3,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_133])]) ).
fof(f775,plain,
( ! [X0] : k1_realset1(sK3,X0) = k7_relat_1(sK3,k2_zfmisc_1(X0,X0))
| ~ spl16_62
| ~ spl16_64 ),
inference(resolution,[],[f529,f515]) ).
fof(f1035,plain,
( spl16_132
| ~ spl16_47
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f744,f514,f408,f1033]) ).
fof(f1033,plain,
( spl16_132
<=> ! [X0] : k1_realset1(sK2,X0) = k7_relat_1(sK2,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_132])]) ).
fof(f744,plain,
( ! [X0] : k1_realset1(sK2,X0) = k7_relat_1(sK2,k2_zfmisc_1(X0,X0))
| ~ spl16_47
| ~ spl16_62 ),
inference(resolution,[],[f409,f515]) ).
fof(f1031,plain,
( spl16_131
| ~ spl16_46
| ~ spl16_67 ),
inference(avatar_split_clause,[],[f558,f551,f402,f1029]) ).
fof(f1029,plain,
( spl16_131
<=> ! [X0,X1] :
( ~ r5_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ r4_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| r6_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_131])]) ).
fof(f558,plain,
( ! [X0,X1] :
( ~ r5_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ r4_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| r6_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_46
| ~ spl16_67 ),
inference(resolution,[],[f552,f403]) ).
fof(f1027,plain,
( spl16_130
| ~ spl16_46
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f549,f537,f402,f1025]) ).
fof(f1025,plain,
( spl16_130
<=> ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| r5_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_130])]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| r5_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_46
| ~ spl16_66 ),
inference(resolution,[],[f538,f403]) ).
fof(f1023,plain,
( spl16_129
| ~ spl16_46
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f544,f524,f402,f1021]) ).
fof(f1021,plain,
( spl16_129
<=> ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| r4_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_129])]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ r6_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| r4_binop_1(X0,X1,sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl16_46
| ~ spl16_63 ),
inference(resolution,[],[f525,f403]) ).
fof(f1013,plain,
( spl16_2
| ~ spl16_4
| ~ spl16_6
| ~ spl16_18
| spl16_128
| ~ spl16_19
| ~ spl16_11
| ~ spl16_69 ),
inference(avatar_split_clause,[],[f570,f564,f232,f272,f1011,f267,f207,f197,f187]) ).
fof(f564,plain,
( spl16_69
<=> ! [X0,X3,X2,X1] :
( r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r4_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_69])]) ).
fof(f570,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,X1,sK3)
| r4_binop_1(sK1,k1_realset1(X1,sK1),sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(sK1)
| v1_xboole_0(X0) )
| ~ spl16_11
| ~ spl16_69 ),
inference(superposition,[],[f565,f234]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ r4_binop_1(X0,X2,X3)
| r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl16_69 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1006,plain,
( spl16_2
| ~ spl16_3
| ~ spl16_5
| ~ spl16_16
| spl16_127
| ~ spl16_17
| ~ spl16_10
| ~ spl16_69 ),
inference(avatar_split_clause,[],[f569,f564,f227,f262,f1004,f257,f202,f192,f187]) ).
fof(f569,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X0,X1,sK2)
| r4_binop_1(sK1,k1_realset1(X1,sK1),sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(sK1)
| v1_xboole_0(X0) )
| ~ spl16_10
| ~ spl16_69 ),
inference(superposition,[],[f565,f229]) ).
fof(f999,plain,
( spl16_2
| ~ spl16_4
| ~ spl16_6
| ~ spl16_18
| spl16_126
| ~ spl16_19
| ~ spl16_11
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f568,f560,f232,f272,f997,f267,f207,f197,f187]) ).
fof(f560,plain,
( spl16_68
<=> ! [X0,X3,X2,X1] :
( r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r5_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_68])]) ).
fof(f568,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,X1,sK3)
| r5_binop_1(sK1,k1_realset1(X1,sK1),sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(sK1)
| v1_xboole_0(X0) )
| ~ spl16_11
| ~ spl16_68 ),
inference(superposition,[],[f561,f234]) ).
fof(f561,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ r5_binop_1(X0,X2,X3)
| r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl16_68 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f992,plain,
( spl16_2
| ~ spl16_3
| ~ spl16_5
| ~ spl16_16
| spl16_125
| ~ spl16_17
| ~ spl16_10
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f567,f560,f227,f262,f990,f257,f202,f192,f187]) ).
fof(f567,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X0,X1,sK2)
| r5_binop_1(sK1,k1_realset1(X1,sK1),sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(sK1)
| v1_xboole_0(X0) )
| ~ spl16_10
| ~ spl16_68 ),
inference(superposition,[],[f561,f229]) ).
fof(f959,plain,
( spl16_124
| spl16_1
| ~ spl16_52
| ~ spl16_113 ),
inference(avatar_split_clause,[],[f912,f883,f435,f182,f956]) ).
fof(f883,plain,
( spl16_113
<=> m1_subset_1(sK7(sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_113])]) ).
fof(f912,plain,
( v1_xboole_0(sK0)
| r2_hidden(sK7(sK1),sK0)
| ~ spl16_52
| ~ spl16_113 ),
inference(resolution,[],[f885,f436]) ).
fof(f885,plain,
( m1_subset_1(sK7(sK1),sK0)
| ~ spl16_113 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f954,plain,
( spl16_123
| ~ spl16_40
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f518,f514,f377,f952]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( k1_realset1(k7_relat_1(X0,X1),X2) = k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) )
| ~ spl16_40
| ~ spl16_62 ),
inference(resolution,[],[f515,f378]) ).
fof(f950,plain,
( spl16_122
| ~ spl16_42
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f517,f514,f386,f948]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( k1_realset1(k1_realset1(X0,X1),X2) = k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X0) )
| ~ spl16_42
| ~ spl16_62 ),
inference(resolution,[],[f515,f387]) ).
fof(f946,plain,
( spl16_121
| ~ spl16_52
| ~ spl16_60 ),
inference(avatar_split_clause,[],[f504,f495,f435,f944]) ).
fof(f495,plain,
( spl16_60
<=> ! [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,[spl16_60])]) ).
fof(f504,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))) )
| ~ spl16_52
| ~ spl16_60 ),
inference(resolution,[],[f496,f436]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl16_60 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f936,plain,
( spl16_120
| ~ spl16_60
| ~ spl16_61 ),
inference(avatar_split_clause,[],[f506,f499,f495,f934]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl16_60
| ~ spl16_61 ),
inference(resolution,[],[f500,f496]) ).
fof(f926,plain,
( spl16_119
| ~ spl16_59
| ~ spl16_60 ),
inference(avatar_split_clause,[],[f503,f495,f484,f924]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl16_59
| ~ spl16_60 ),
inference(resolution,[],[f496,f485]) ).
fof(f916,plain,
( spl16_118
| ~ spl16_49
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f464,f435,f417,f914]) ).
fof(f417,plain,
( spl16_49
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_49])]) ).
fof(f464,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl16_49
| ~ spl16_52 ),
inference(resolution,[],[f436,f418]) ).
fof(f418,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f911,plain,
( spl16_117
| ~ spl16_50
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f462,f435,f421,f909]) ).
fof(f421,plain,
( spl16_50
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
fof(f462,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl16_50
| ~ spl16_52 ),
inference(resolution,[],[f436,f422]) ).
fof(f422,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl16_50 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f898,plain,
( spl16_116
| ~ spl16_22
| ~ spl16_23
| ~ spl16_24
| ~ spl16_37
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f522,f514,f360,f297,f292,f287,f896]) ).
fof(f896,plain,
( spl16_116
<=> ! [X0] : k1_realset1(sK12,X0) = k7_relat_1(sK12,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_116])]) ).
fof(f287,plain,
( spl16_22
<=> v1_xboole_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f292,plain,
( spl16_23
<=> v1_relat_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f297,plain,
( spl16_24
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f360,plain,
( spl16_37
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).
fof(f522,plain,
( ! [X0] : k1_realset1(sK12,X0) = k7_relat_1(sK12,k2_zfmisc_1(X0,X0))
| ~ spl16_22
| ~ spl16_23
| ~ spl16_24
| ~ spl16_37
| ~ spl16_62 ),
inference(forward_demodulation,[],[f519,f375]) ).
fof(f375,plain,
( sK12 = sK13
| ~ spl16_22
| ~ spl16_24
| ~ spl16_37 ),
inference(forward_demodulation,[],[f374,f373]) ).
fof(f373,plain,
( k1_xboole_0 = sK12
| ~ spl16_22
| ~ spl16_37 ),
inference(resolution,[],[f361,f289]) ).
fof(f289,plain,
( v1_xboole_0(sK12)
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f361,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl16_37 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f374,plain,
( k1_xboole_0 = sK13
| ~ spl16_24
| ~ spl16_37 ),
inference(resolution,[],[f361,f299]) ).
fof(f299,plain,
( v1_xboole_0(sK13)
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f519,plain,
( ! [X0] : k1_realset1(sK13,X0) = k7_relat_1(sK13,k2_zfmisc_1(X0,X0))
| ~ spl16_23
| ~ spl16_62 ),
inference(resolution,[],[f515,f294]) ).
fof(f294,plain,
( v1_relat_1(sK13)
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f894,plain,
( spl16_115
| ~ spl16_28
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f521,f514,f317,f892]) ).
fof(f892,plain,
( spl16_115
<=> ! [X0] : k1_realset1(sK15,X0) = k7_relat_1(sK15,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_115])]) ).
fof(f521,plain,
( ! [X0] : k1_realset1(sK15,X0) = k7_relat_1(sK15,k2_zfmisc_1(X0,X0))
| ~ spl16_28
| ~ spl16_62 ),
inference(resolution,[],[f515,f319]) ).
fof(f890,plain,
( spl16_114
| ~ spl16_26
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f520,f514,f307,f888]) ).
fof(f888,plain,
( spl16_114
<=> ! [X0] : k1_realset1(sK14,X0) = k7_relat_1(sK14,k2_zfmisc_1(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_114])]) ).
fof(f520,plain,
( ! [X0] : k1_realset1(sK14,X0) = k7_relat_1(sK14,k2_zfmisc_1(X0,X0))
| ~ spl16_26
| ~ spl16_62 ),
inference(resolution,[],[f515,f309]) ).
fof(f886,plain,
( spl16_113
| spl16_2
| ~ spl16_74
| ~ spl16_87 ),
inference(avatar_split_clause,[],[f725,f699,f592,f187,f883]) ).
fof(f592,plain,
( spl16_74
<=> ! [X0] :
( m1_subset_1(X0,sK0)
| ~ r2_hidden(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_74])]) ).
fof(f725,plain,
( v1_xboole_0(sK1)
| m1_subset_1(sK7(sK1),sK0)
| ~ spl16_74
| ~ spl16_87 ),
inference(resolution,[],[f700,f593]) ).
fof(f593,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK1)
| m1_subset_1(X0,sK0) )
| ~ spl16_74 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f881,plain,
( spl16_112
| ~ spl16_49
| ~ spl16_61 ),
inference(avatar_split_clause,[],[f508,f499,f417,f879]) ).
fof(f508,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(X1) )
| ~ spl16_49
| ~ spl16_61 ),
inference(resolution,[],[f500,f418]) ).
fof(f877,plain,
( spl16_111
| ~ spl16_50
| ~ spl16_61 ),
inference(avatar_split_clause,[],[f505,f499,f421,f875]) ).
fof(f875,plain,
( spl16_111
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_111])]) ).
fof(f505,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl16_50
| ~ spl16_61 ),
inference(resolution,[],[f500,f422]) ).
fof(f873,plain,
( spl16_110
| ~ spl16_49
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f472,f451,f417,f871]) ).
fof(f472,plain,
( ! [X0,X1] :
( v1_relat_1(sK6(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl16_49
| ~ spl16_56 ),
inference(resolution,[],[f452,f418]) ).
fof(f865,plain,
( ~ spl16_6
| ~ spl16_18
| spl16_109
| ~ spl16_19
| ~ spl16_67 ),
inference(avatar_split_clause,[],[f557,f551,f272,f863,f267,f207]) ).
fof(f557,plain,
( ! [X0] :
( ~ r5_binop_1(sK1,X0,sK5)
| ~ r4_binop_1(sK1,X0,sK5)
| r6_binop_1(sK1,X0,sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0) )
| ~ spl16_19
| ~ spl16_67 ),
inference(resolution,[],[f552,f274]) ).
fof(f857,plain,
( ~ spl16_5
| ~ spl16_16
| spl16_108
| ~ spl16_17
| ~ spl16_67 ),
inference(avatar_split_clause,[],[f556,f551,f262,f855,f257,f202]) ).
fof(f556,plain,
( ! [X0] :
( ~ r5_binop_1(sK1,X0,sK4)
| ~ r4_binop_1(sK1,X0,sK4)
| r6_binop_1(sK1,X0,sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0) )
| ~ spl16_17
| ~ spl16_67 ),
inference(resolution,[],[f552,f264]) ).
fof(f849,plain,
( ~ spl16_4
| ~ spl16_14
| spl16_107
| ~ spl16_15
| ~ spl16_67 ),
inference(avatar_split_clause,[],[f555,f551,f252,f847,f247,f197]) ).
fof(f847,plain,
( spl16_107
<=> ! [X0] :
( ~ r5_binop_1(sK0,X0,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| r6_binop_1(sK0,X0,sK3)
| ~ r4_binop_1(sK0,X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_107])]) ).
fof(f555,plain,
( ! [X0] :
( ~ r5_binop_1(sK0,X0,sK3)
| ~ r4_binop_1(sK0,X0,sK3)
| r6_binop_1(sK0,X0,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0) )
| ~ spl16_15
| ~ spl16_67 ),
inference(resolution,[],[f552,f254]) ).
fof(f844,plain,
( spl16_65
| ~ spl16_19
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f736,f719,f272,f532]) ).
fof(f736,plain,
( v1_relat_1(sK5)
| ~ spl16_19
| ~ spl16_92 ),
inference(resolution,[],[f720,f274]) ).
fof(f839,plain,
( ~ spl16_3
| ~ spl16_12
| spl16_106
| ~ spl16_13
| ~ spl16_67 ),
inference(avatar_split_clause,[],[f554,f551,f242,f837,f237,f192]) ).
fof(f837,plain,
( spl16_106
<=> ! [X0] :
( ~ r5_binop_1(sK0,X0,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| r6_binop_1(sK0,X0,sK2)
| ~ r4_binop_1(sK0,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_106])]) ).
fof(f554,plain,
( ! [X0] :
( ~ r5_binop_1(sK0,X0,sK2)
| ~ r4_binop_1(sK0,X0,sK2)
| r6_binop_1(sK0,X0,sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0) )
| ~ spl16_13
| ~ spl16_67 ),
inference(resolution,[],[f552,f244]) ).
fof(f833,plain,
( spl16_105
| ~ spl16_34
| ~ spl16_61 ),
inference(avatar_split_clause,[],[f509,f499,f343,f831]) ).
fof(f343,plain,
( spl16_34
<=> ! [X0] : m1_subset_1(sK7(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
fof(f509,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) )
| ~ spl16_34
| ~ spl16_61 ),
inference(resolution,[],[f500,f344]) ).
fof(f344,plain,
( ! [X0] : m1_subset_1(sK7(X0),X0)
| ~ spl16_34 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f829,plain,
( spl16_104
| ~ spl16_50
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f487,f484,f421,f827]) ).
fof(f827,plain,
( spl16_104
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_104])]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl16_50
| ~ spl16_59 ),
inference(resolution,[],[f485,f422]) ).
fof(f821,plain,
( ~ spl16_6
| ~ spl16_18
| spl16_103
| ~ spl16_19
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f548,f537,f272,f819,f267,f207]) ).
fof(f819,plain,
( spl16_103
<=> ! [X0] :
( ~ r6_binop_1(sK1,X0,sK5)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| r5_binop_1(sK1,X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_103])]) ).
fof(f548,plain,
( ! [X0] :
( ~ r6_binop_1(sK1,X0,sK5)
| r5_binop_1(sK1,X0,sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0) )
| ~ spl16_19
| ~ spl16_66 ),
inference(resolution,[],[f538,f274]) ).
fof(f812,plain,
( spl16_48
| ~ spl16_17
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f735,f719,f262,f412]) ).
fof(f735,plain,
( v1_relat_1(sK4)
| ~ spl16_17
| ~ spl16_92 ),
inference(resolution,[],[f720,f264]) ).
fof(f811,plain,
( ~ spl16_5
| ~ spl16_16
| spl16_102
| ~ spl16_17
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f547,f537,f262,f809,f257,f202]) ).
fof(f809,plain,
( spl16_102
<=> ! [X0] :
( ~ r6_binop_1(sK1,X0,sK4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| r5_binop_1(sK1,X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_102])]) ).
fof(f547,plain,
( ! [X0] :
( ~ r6_binop_1(sK1,X0,sK4)
| r5_binop_1(sK1,X0,sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0) )
| ~ spl16_17
| ~ spl16_66 ),
inference(resolution,[],[f538,f264]) ).
fof(f803,plain,
( ~ spl16_4
| ~ spl16_14
| spl16_101
| ~ spl16_15
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f546,f537,f252,f801,f247,f197]) ).
fof(f546,plain,
( ! [X0] :
( ~ r6_binop_1(sK0,X0,sK3)
| r5_binop_1(sK0,X0,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0) )
| ~ spl16_15
| ~ spl16_66 ),
inference(resolution,[],[f538,f254]) ).
fof(f795,plain,
( ~ spl16_3
| ~ spl16_12
| spl16_100
| ~ spl16_13
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f545,f537,f242,f793,f237,f192]) ).
fof(f793,plain,
( spl16_100
<=> ! [X0] :
( ~ r6_binop_1(sK0,X0,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| r5_binop_1(sK0,X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_100])]) ).
fof(f545,plain,
( ! [X0] :
( ~ r6_binop_1(sK0,X0,sK2)
| r5_binop_1(sK0,X0,sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0) )
| ~ spl16_13
| ~ spl16_66 ),
inference(resolution,[],[f538,f244]) ).
fof(f787,plain,
( ~ spl16_6
| ~ spl16_18
| spl16_99
| ~ spl16_19
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f543,f524,f272,f785,f267,f207]) ).
fof(f543,plain,
( ! [X0] :
( ~ r6_binop_1(sK1,X0,sK5)
| r4_binop_1(sK1,X0,sK5)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK5)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0) )
| ~ spl16_19
| ~ spl16_63 ),
inference(resolution,[],[f525,f274]) ).
fof(f779,plain,
( ~ spl16_5
| ~ spl16_16
| spl16_98
| ~ spl16_17
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f542,f524,f262,f777,f257,f202]) ).
fof(f542,plain,
( ! [X0] :
( ~ r6_binop_1(sK1,X0,sK4)
| r4_binop_1(sK1,X0,sK4)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK4)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(X0) )
| ~ spl16_17
| ~ spl16_63 ),
inference(resolution,[],[f525,f264]) ).
fof(f774,plain,
( spl16_64
| ~ spl16_15
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f734,f719,f252,f528]) ).
fof(f734,plain,
( v1_relat_1(sK3)
| ~ spl16_15
| ~ spl16_92 ),
inference(resolution,[],[f720,f254]) ).
fof(f769,plain,
( ~ spl16_4
| ~ spl16_14
| spl16_97
| ~ spl16_15
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f541,f524,f252,f767,f247,f197]) ).
fof(f541,plain,
( ! [X0] :
( ~ r6_binop_1(sK0,X0,sK3)
| r4_binop_1(sK0,X0,sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0) )
| ~ spl16_15
| ~ spl16_63 ),
inference(resolution,[],[f525,f254]) ).
fof(f761,plain,
( ~ spl16_3
| ~ spl16_12
| spl16_96
| ~ spl16_13
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f540,f524,f242,f759,f237,f192]) ).
fof(f540,plain,
( ! [X0] :
( ~ r6_binop_1(sK0,X0,sK2)
| r4_binop_1(sK0,X0,sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(X0) )
| ~ spl16_13
| ~ spl16_63 ),
inference(resolution,[],[f525,f244]) ).
fof(f752,plain,
( spl16_95
| ~ spl16_34
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f490,f484,f343,f750]) ).
fof(f490,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0))) )
| ~ spl16_34
| ~ spl16_59 ),
inference(resolution,[],[f485,f344]) ).
fof(f748,plain,
( spl16_94
| ~ spl16_50
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f471,f451,f421,f746]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl16_50
| ~ spl16_56 ),
inference(resolution,[],[f452,f422]) ).
fof(f743,plain,
( spl16_47
| ~ spl16_13
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f733,f719,f242,f408]) ).
fof(f733,plain,
( v1_relat_1(sK2)
| ~ spl16_13
| ~ spl16_92 ),
inference(resolution,[],[f720,f244]) ).
fof(f742,plain,
( spl16_93
| ~ spl16_22
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f468,f435,f364,f360,f331,f287,f740]) ).
fof(f740,plain,
( spl16_93
<=> ! [X0] :
( r2_hidden(sK12,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_93])]) ).
fof(f331,plain,
( spl16_31
<=> ! [X0] : v1_xboole_0(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f364,plain,
( spl16_38
<=> ! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
fof(f468,plain,
( ! [X0] :
( r2_hidden(sK12,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl16_22
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_52 ),
inference(forward_demodulation,[],[f467,f373]) ).
fof(f467,plain,
( ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_52 ),
inference(forward_demodulation,[],[f466,f372]) ).
fof(f372,plain,
( ! [X0] : k1_xboole_0 = sK8(X0)
| ~ spl16_31
| ~ spl16_37 ),
inference(resolution,[],[f361,f332]) ).
fof(f332,plain,
( ! [X0] : v1_xboole_0(sK8(X0))
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f466,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK8(X0),k1_zfmisc_1(X0)) )
| ~ spl16_38
| ~ spl16_52 ),
inference(resolution,[],[f436,f365]) ).
fof(f365,plain,
( ! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| ~ spl16_38 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f721,plain,
( spl16_92
| ~ spl16_56
| ~ spl16_60 ),
inference(avatar_split_clause,[],[f502,f495,f451,f719]) ).
fof(f502,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl16_56
| ~ spl16_60 ),
inference(resolution,[],[f496,f452]) ).
fof(f717,plain,
( spl16_91
| ~ spl16_45
| ~ spl16_58 ),
inference(avatar_split_clause,[],[f482,f459,f398,f715]) ).
fof(f398,plain,
( spl16_45
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).
fof(f459,plain,
( spl16_58
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_58])]) ).
fof(f482,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl16_45
| ~ spl16_58 ),
inference(resolution,[],[f460,f399]) ).
fof(f399,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl16_45 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl16_58 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f713,plain,
( spl16_90
| ~ spl16_46
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f481,f455,f402,f711]) ).
fof(f711,plain,
( spl16_90
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_90])]) ).
fof(f455,plain,
( spl16_57
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_57])]) ).
fof(f481,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl16_46
| ~ spl16_57 ),
inference(resolution,[],[f456,f403]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f709,plain,
( spl16_89
| ~ spl16_34
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f473,f451,f343,f707]) ).
fof(f473,plain,
( ! [X0,X1] : v1_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl16_34
| ~ spl16_56 ),
inference(resolution,[],[f452,f344]) ).
fof(f705,plain,
( spl16_88
| ~ spl16_38
| ~ spl16_83 ),
inference(avatar_split_clause,[],[f651,f648,f364,f703]) ).
fof(f703,plain,
( spl16_88
<=> ! [X0] : m1_subset_1(sK12,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_88])]) ).
fof(f648,plain,
( spl16_83
<=> ! [X0] : sK8(X0) = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_83])]) ).
fof(f651,plain,
( ! [X0] : m1_subset_1(sK12,k1_zfmisc_1(X0))
| ~ spl16_38
| ~ spl16_83 ),
inference(superposition,[],[f365,f649]) ).
fof(f649,plain,
( ! [X0] : sK8(X0) = sK12
| ~ spl16_83 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f701,plain,
( spl16_87
| ~ spl16_34
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f465,f435,f343,f699]) ).
fof(f465,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) )
| ~ spl16_34
| ~ spl16_52 ),
inference(resolution,[],[f436,f344]) ).
fof(f679,plain,
( spl16_84
| ~ spl16_37
| ~ spl16_79 ),
inference(avatar_split_clause,[],[f672,f623,f360,f654]) ).
fof(f623,plain,
( spl16_79
<=> k1_xboole_0 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_79])]) ).
fof(f672,plain,
( ! [X0] :
( sK12 = X0
| ~ v1_xboole_0(X0) )
| ~ spl16_37
| ~ spl16_79 ),
inference(forward_demodulation,[],[f361,f625]) ).
fof(f625,plain,
( k1_xboole_0 = sK12
| ~ spl16_79 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f671,plain,
( ~ spl16_20
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f664,plain,
( $false
| ~ spl16_20
| ~ spl16_85 ),
inference(resolution,[],[f659,f279]) ).
fof(f279,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl16_20
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f659,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl16_85 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl16_85
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_85])]) ).
fof(f670,plain,
( ~ spl16_31
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| ~ spl16_31
| ~ spl16_85 ),
inference(resolution,[],[f659,f332]) ).
fof(f669,plain,
( ~ spl16_22
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| ~ spl16_22
| ~ spl16_85 ),
inference(resolution,[],[f659,f289]) ).
fof(f668,plain,
( ~ spl16_24
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl16_24
| ~ spl16_85 ),
inference(resolution,[],[f659,f299]) ).
fof(f663,plain,
( spl16_85
| spl16_86
| ~ spl16_22
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f493,f484,f364,f360,f331,f287,f661,f658]) ).
fof(f661,plain,
( spl16_86
<=> ! [X1] : ~ r2_hidden(X1,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_86])]) ).
fof(f493,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK12)
| ~ v1_xboole_0(X0) )
| ~ spl16_22
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_59 ),
inference(forward_demodulation,[],[f492,f373]) ).
fof(f492,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) )
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_59 ),
inference(forward_demodulation,[],[f491,f372]) ).
fof(f491,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK8(X0)) )
| ~ spl16_38
| ~ spl16_59 ),
inference(resolution,[],[f485,f365]) ).
fof(f656,plain,
( spl16_84
| ~ spl16_22
| ~ spl16_51 ),
inference(avatar_split_clause,[],[f430,f425,f287,f654]) ).
fof(f430,plain,
( ! [X0] :
( sK12 = X0
| ~ v1_xboole_0(X0) )
| ~ spl16_22
| ~ spl16_51 ),
inference(resolution,[],[f426,f289]) ).
fof(f650,plain,
( spl16_83
| ~ spl16_79
| ~ spl16_82 ),
inference(avatar_split_clause,[],[f646,f643,f623,f648]) ).
fof(f643,plain,
( spl16_82
<=> ! [X0] : k1_xboole_0 = sK8(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_82])]) ).
fof(f646,plain,
( ! [X0] : sK8(X0) = sK12
| ~ spl16_79
| ~ spl16_82 ),
inference(forward_demodulation,[],[f644,f625]) ).
fof(f644,plain,
( ! [X0] : k1_xboole_0 = sK8(X0)
| ~ spl16_82 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( spl16_82
| ~ spl16_31
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f372,f360,f331,f643]) ).
fof(f641,plain,
( ~ spl16_81
| ~ spl16_43
| ~ spl16_75 ),
inference(avatar_split_clause,[],[f609,f600,f390,f638]) ).
fof(f638,plain,
( spl16_81
<=> r2_hidden(k1_zfmisc_1(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_81])]) ).
fof(f600,plain,
( spl16_75
<=> r2_hidden(sK1,k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_75])]) ).
fof(f609,plain,
( ~ r2_hidden(k1_zfmisc_1(sK0),sK1)
| ~ spl16_43
| ~ spl16_75 ),
inference(resolution,[],[f602,f391]) ).
fof(f602,plain,
( r2_hidden(sK1,k1_zfmisc_1(sK0))
| ~ spl16_75 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f631,plain,
( spl16_80
| ~ spl16_22
| ~ spl16_24
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f375,f360,f297,f287,f628]) ).
fof(f628,plain,
( spl16_80
<=> sK12 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_80])]) ).
fof(f626,plain,
( spl16_79
| ~ spl16_22
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f373,f360,f287,f623]) ).
fof(f620,plain,
( spl16_78
| ~ spl16_31
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f347,f339,f331,f618]) ).
fof(f618,plain,
( spl16_78
<=> ! [X0] : v1_funct_1(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_78])]) ).
fof(f347,plain,
( ! [X0] : v1_funct_1(sK8(X0))
| ~ spl16_31
| ~ spl16_33 ),
inference(resolution,[],[f340,f332]) ).
fof(f615,plain,
( spl16_77
| ~ spl16_22
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f476,f451,f364,f360,f331,f287,f612]) ).
fof(f476,plain,
( v1_relat_1(sK12)
| ~ spl16_22
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_56 ),
inference(forward_demodulation,[],[f475,f373]) ).
fof(f475,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl16_31
| ~ spl16_37
| ~ spl16_38
| ~ spl16_56 ),
inference(forward_demodulation,[],[f474,f372]) ).
fof(f474,plain,
( ! [X0,X1] : v1_relat_1(sK8(k2_zfmisc_1(X0,X1)))
| ~ spl16_38
| ~ spl16_56 ),
inference(resolution,[],[f452,f365]) ).
fof(f607,plain,
( spl16_75
| spl16_76
| ~ spl16_7
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f463,f435,f212,f604,f600]) ).
fof(f604,plain,
( spl16_76
<=> v1_xboole_0(k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_76])]) ).
fof(f463,plain,
( v1_xboole_0(k1_zfmisc_1(sK0))
| r2_hidden(sK1,k1_zfmisc_1(sK0))
| ~ spl16_7
| ~ spl16_52 ),
inference(resolution,[],[f436,f214]) ).
fof(f214,plain,
( m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f594,plain,
( spl16_74
| ~ spl16_7
| ~ spl16_61 ),
inference(avatar_split_clause,[],[f507,f499,f212,f592]) ).
fof(f507,plain,
( ! [X0] :
( m1_subset_1(X0,sK0)
| ~ r2_hidden(X0,sK1) )
| ~ spl16_7
| ~ spl16_61 ),
inference(resolution,[],[f500,f214]) ).
fof(f590,plain,
( spl16_73
| ~ spl16_19
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f480,f455,f272,f587]) ).
fof(f587,plain,
( spl16_73
<=> m1_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_73])]) ).
fof(f480,plain,
( m1_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ spl16_19
| ~ spl16_57 ),
inference(resolution,[],[f456,f274]) ).
fof(f585,plain,
( spl16_72
| ~ spl16_17
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f479,f455,f262,f582]) ).
fof(f582,plain,
( spl16_72
<=> m1_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_72])]) ).
fof(f479,plain,
( m1_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ spl16_17
| ~ spl16_57 ),
inference(resolution,[],[f456,f264]) ).
fof(f580,plain,
( spl16_71
| ~ spl16_15
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f478,f455,f252,f577]) ).
fof(f577,plain,
( spl16_71
<=> m1_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_71])]) ).
fof(f478,plain,
( m1_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ spl16_15
| ~ spl16_57 ),
inference(resolution,[],[f456,f254]) ).
fof(f575,plain,
( spl16_70
| ~ spl16_13
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f477,f455,f242,f572]) ).
fof(f572,plain,
( spl16_70
<=> m1_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_70])]) ).
fof(f477,plain,
( m1_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ spl16_13
| ~ spl16_57 ),
inference(resolution,[],[f456,f244]) ).
fof(f566,plain,
spl16_69,
inference(avatar_split_clause,[],[f180,f564]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r4_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( r4_binop_1(X1,X4,k1_realset1(X3,X1))
| ~ r4_binop_1(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3) )
& ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) ) )
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3) )
& ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) ) )
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> ( ( r5_binop_1(X0,X2,X3)
=> r5_binop_1(X1,X4,X5) )
& ( r4_binop_1(X0,X2,X3)
=> r4_binop_1(X1,X4,X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_filter_2) ).
fof(f562,plain,
spl16_68,
inference(avatar_split_clause,[],[f178,f560]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r5_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4] :
( r5_binop_1(X1,X4,k1_realset1(X3,X1))
| ~ r5_binop_1(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] :
( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f553,plain,
spl16_67,
inference(avatar_split_clause,[],[f156,f551]) ).
fof(f156,plain,
! [X2,X0,X1] :
( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2) )
& ( ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2) )
& ( ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
fof(f539,plain,
spl16_66,
inference(avatar_split_clause,[],[f155,f537]) ).
fof(f155,plain,
! [X2,X0,X1] :
( r5_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f535,plain,
( ~ spl16_64
| spl16_65
| ~ spl16_11
| ~ spl16_42 ),
inference(avatar_split_clause,[],[f406,f386,f232,f532,f528]) ).
fof(f406,plain,
( v1_relat_1(sK5)
| ~ v1_relat_1(sK3)
| ~ spl16_11
| ~ spl16_42 ),
inference(superposition,[],[f387,f234]) ).
fof(f526,plain,
spl16_63,
inference(avatar_split_clause,[],[f154,f524]) ).
fof(f154,plain,
! [X2,X0,X1] :
( r4_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f516,plain,
spl16_62,
inference(avatar_split_clause,[],[f135,f514]) ).
fof(f135,plain,
! [X0,X1] :
( k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_realset1) ).
fof(f501,plain,
spl16_61,
inference(avatar_split_clause,[],[f164,f499]) ).
fof(f164,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,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(f497,plain,
spl16_60,
inference(avatar_split_clause,[],[f162,f495]) ).
fof(f162,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,[],[f75]) ).
fof(f75,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,[],[f16]) ).
fof(f16,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(f486,plain,
spl16_59,
inference(avatar_split_clause,[],[f167,f484]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,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(f461,plain,
spl16_58,
inference(avatar_split_clause,[],[f166,f459]) ).
fof(f166,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,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,[],[f33]) ).
fof(f33,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(f457,plain,
spl16_57,
inference(avatar_split_clause,[],[f165,f455]) ).
fof(f165,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f453,plain,
spl16_56,
inference(avatar_split_clause,[],[f163,f451]) ).
fof(f163,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f449,plain,
spl16_55,
inference(avatar_split_clause,[],[f153,f447]) ).
fof(f447,plain,
( spl16_55
<=> ! [X0,X1] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_55])]) ).
fof(f153,plain,
! [X0,X1] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_realset1) ).
fof(f445,plain,
spl16_54,
inference(avatar_split_clause,[],[f151,f443]) ).
fof(f443,plain,
( spl16_54
<=> ! [X0,X1] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_54])]) ).
fof(f151,plain,
! [X0,X1] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f441,plain,
spl16_53,
inference(avatar_split_clause,[],[f149,f439]) ).
fof(f149,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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(f437,plain,
spl16_52,
inference(avatar_split_clause,[],[f148,f435]) ).
fof(f148,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,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(f427,plain,
spl16_51,
inference(avatar_split_clause,[],[f158,f425]) ).
fof(f158,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f423,plain,
spl16_50,
inference(avatar_split_clause,[],[f157,f421]) ).
fof(f157,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,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(f419,plain,
spl16_49,
inference(avatar_split_clause,[],[f133,f417]) ).
fof(f133,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f52,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,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(f415,plain,
( ~ spl16_47
| spl16_48
| ~ spl16_10
| ~ spl16_42 ),
inference(avatar_split_clause,[],[f405,f386,f227,f412,f408]) ).
fof(f405,plain,
( v1_relat_1(sK4)
| ~ v1_relat_1(sK2)
| ~ spl16_10
| ~ spl16_42 ),
inference(superposition,[],[f387,f229]) ).
fof(f404,plain,
spl16_46,
inference(avatar_split_clause,[],[f161,f402]) ).
fof(f161,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f19,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f400,plain,
spl16_45,
inference(avatar_split_clause,[],[f160,f398]) ).
fof(f160,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f17,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f17,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f396,plain,
spl16_44,
inference(avatar_split_clause,[],[f147,f394]) ).
fof(f147,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f392,plain,
spl16_43,
inference(avatar_split_clause,[],[f146,f390]) ).
fof(f146,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f388,plain,
spl16_42,
inference(avatar_split_clause,[],[f145,f386]) ).
fof(f145,plain,
! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k1_realset1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_realset1) ).
fof(f384,plain,
( spl16_41
| ~ spl16_22
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f348,f339,f287,f381]) ).
fof(f348,plain,
( v1_funct_1(sK12)
| ~ spl16_22
| ~ spl16_33 ),
inference(resolution,[],[f340,f289]) ).
fof(f379,plain,
spl16_40,
inference(avatar_split_clause,[],[f144,f377]) ).
fof(f144,plain,
! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k7_relat_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f370,plain,
spl16_39,
inference(avatar_split_clause,[],[f159,f368]) ).
fof(f368,plain,
( spl16_39
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_39])]) ).
fof(f159,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f366,plain,
spl16_38,
inference(avatar_split_clause,[],[f141,f364]) ).
fof(f141,plain,
! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f30,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,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(f362,plain,
spl16_37,
inference(avatar_split_clause,[],[f137,f360]) ).
fof(f137,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f358,plain,
spl16_36,
inference(avatar_split_clause,[],[f134,f356]) ).
fof(f356,plain,
( spl16_36
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_36])]) ).
fof(f134,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f354,plain,
( spl16_35
| ~ spl16_20
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f346,f339,f277,f351]) ).
fof(f351,plain,
( spl16_35
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_35])]) ).
fof(f346,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl16_20
| ~ spl16_33 ),
inference(resolution,[],[f340,f279]) ).
fof(f345,plain,
spl16_34,
inference(avatar_split_clause,[],[f140,f343]) ).
fof(f140,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f18,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f341,plain,
spl16_33,
inference(avatar_split_clause,[],[f136,f339]) ).
fof(f136,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f337,plain,
spl16_32,
inference(avatar_split_clause,[],[f143,f335]) ).
fof(f143,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f333,plain,
spl16_31,
inference(avatar_split_clause,[],[f142,f331]) ).
fof(f142,plain,
! [X0] : v1_xboole_0(sK8(X0)),
inference(cnf_transformation,[],[f92]) ).
fof(f329,plain,
spl16_30,
inference(avatar_split_clause,[],[f130,f327]) ).
fof(f327,plain,
( spl16_30
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f130,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f325,plain,
spl16_29,
inference(avatar_split_clause,[],[f176,f322]) ).
fof(f322,plain,
( spl16_29
<=> v1_funct_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
fof(f176,plain,
v1_funct_1(sK15),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( v1_funct_1(sK15)
& v1_relat_1(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f47,f108]) ).
fof(f108,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK15)
& v1_relat_1(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f32]) ).
fof(f32,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f320,plain,
spl16_28,
inference(avatar_split_clause,[],[f175,f317]) ).
fof(f175,plain,
v1_relat_1(sK15),
inference(cnf_transformation,[],[f109]) ).
fof(f315,plain,
spl16_27,
inference(avatar_split_clause,[],[f174,f312]) ).
fof(f312,plain,
( spl16_27
<=> v1_funct_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f174,plain,
v1_funct_1(sK14),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( v1_funct_1(sK14)
& v1_relat_1(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f26,f106]) ).
fof(f106,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK14)
& v1_relat_1(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f310,plain,
spl16_26,
inference(avatar_split_clause,[],[f173,f307]) ).
fof(f173,plain,
v1_relat_1(sK14),
inference(cnf_transformation,[],[f107]) ).
fof(f305,plain,
spl16_25,
inference(avatar_split_clause,[],[f172,f302]) ).
fof(f302,plain,
( spl16_25
<=> v1_funct_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f172,plain,
v1_funct_1(sK13),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( v1_funct_1(sK13)
& v1_xboole_0(sK13)
& v1_relat_1(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f29,f104]) ).
fof(f104,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK13)
& v1_xboole_0(sK13)
& v1_relat_1(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f300,plain,
spl16_24,
inference(avatar_split_clause,[],[f171,f297]) ).
fof(f171,plain,
v1_xboole_0(sK13),
inference(cnf_transformation,[],[f105]) ).
fof(f295,plain,
spl16_23,
inference(avatar_split_clause,[],[f170,f292]) ).
fof(f170,plain,
v1_relat_1(sK13),
inference(cnf_transformation,[],[f105]) ).
fof(f290,plain,
spl16_22,
inference(avatar_split_clause,[],[f169,f287]) ).
fof(f169,plain,
v1_xboole_0(sK12),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
v1_xboole_0(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f28,f102]) ).
fof(f102,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK12) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f285,plain,
~ spl16_21,
inference(avatar_split_clause,[],[f168,f282]) ).
fof(f282,plain,
( spl16_21
<=> v1_xboole_0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f168,plain,
~ v1_xboole_0(sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
~ v1_xboole_0(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f31,f100]) ).
fof(f100,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK11) ),
introduced(choice_axiom,[]) ).
fof(f31,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f280,plain,
spl16_20,
inference(avatar_split_clause,[],[f129,f277]) ).
fof(f129,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f275,plain,
spl16_19,
inference(avatar_split_clause,[],[f124,f272]) ).
fof(f124,plain,
m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ~ r6_binop_1(sK1,sK4,sK5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = sK5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK5)
& m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK4)
& m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK3)
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK2)
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK1)
& ~ v1_xboole_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f49,f85,f84,f83,f82,f81,f80]) ).
fof(f80,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(X2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(X2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
=> ( ? [X5] :
( ~ r6_binop_1(sK1,sK4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X5] :
( ~ r6_binop_1(sK1,sK4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
=> ( ~ r6_binop_1(sK1,sK4,sK5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = sK5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
fof(f270,plain,
spl16_18,
inference(avatar_split_clause,[],[f123,f267]) ).
fof(f123,plain,
v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f265,plain,
spl16_17,
inference(avatar_split_clause,[],[f121,f262]) ).
fof(f121,plain,
m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f260,plain,
spl16_16,
inference(avatar_split_clause,[],[f120,f257]) ).
fof(f120,plain,
v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f255,plain,
spl16_15,
inference(avatar_split_clause,[],[f118,f252]) ).
fof(f118,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f250,plain,
spl16_14,
inference(avatar_split_clause,[],[f117,f247]) ).
fof(f117,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f245,plain,
spl16_13,
inference(avatar_split_clause,[],[f115,f242]) ).
fof(f115,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f240,plain,
spl16_12,
inference(avatar_split_clause,[],[f114,f237]) ).
fof(f114,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f235,plain,
spl16_11,
inference(avatar_split_clause,[],[f126,f232]) ).
fof(f126,plain,
k1_realset1(sK3,sK1) = sK5,
inference(cnf_transformation,[],[f86]) ).
fof(f230,plain,
spl16_10,
inference(avatar_split_clause,[],[f125,f227]) ).
fof(f125,plain,
k1_realset1(sK2,sK1) = sK4,
inference(cnf_transformation,[],[f86]) ).
fof(f225,plain,
~ spl16_9,
inference(avatar_split_clause,[],[f128,f222]) ).
fof(f128,plain,
~ r6_binop_1(sK1,sK4,sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f220,plain,
spl16_8,
inference(avatar_split_clause,[],[f127,f217]) ).
fof(f127,plain,
r6_binop_1(sK0,sK2,sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f215,plain,
spl16_7,
inference(avatar_split_clause,[],[f112,f212]) ).
fof(f112,plain,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f86]) ).
fof(f210,plain,
spl16_6,
inference(avatar_split_clause,[],[f122,f207]) ).
fof(f122,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f205,plain,
spl16_5,
inference(avatar_split_clause,[],[f119,f202]) ).
fof(f119,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
spl16_4,
inference(avatar_split_clause,[],[f116,f197]) ).
fof(f116,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f195,plain,
spl16_3,
inference(avatar_split_clause,[],[f113,f192]) ).
fof(f113,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
~ spl16_2,
inference(avatar_split_clause,[],[f111,f187]) ).
fof(f111,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f110,f182]) ).
fof(f110,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LAT294+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
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:01:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13352)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (13357)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13356)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13359)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (13355)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13361)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (13357)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (13360)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (13358)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.44 % (13359)First to succeed.
% 0.22/0.45 TRYING [3]
% 0.22/0.45 TRYING [5]
% 0.22/0.46 % (13359)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (13359)------------------------------
% 0.22/0.47 % (13359)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.47 % (13359)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (13359)Memory used [KB]: 1878
% 0.22/0.47 % (13359)Time elapsed: 0.083 s
% 0.22/0.47 % (13359)Instructions burned: 132 (million)
% 0.22/0.47 % (13359)------------------------------
% 0.22/0.47 % (13359)------------------------------
% 0.22/0.47 % (13352)Success in time 0.108 s
%------------------------------------------------------------------------------