TSTP Solution File: ALG219+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG219+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 : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:29:05 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 503
% Syntax : Number of formulae : 1639 ( 216 unt; 0 def)
% Number of atoms : 9254 ( 243 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 13742 (6127 ~;6453 |; 662 &)
% ( 409 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 446 ( 444 usr; 408 prp; 0-10 aty)
% Number of functors : 39 ( 39 usr; 15 con; 0-5 aty)
% Number of variables : 1958 (1875 !; 83 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2836,plain,
$false,
inference(avatar_sat_refutation,[],[f368,f373,f378,f383,f388,f393,f398,f403,f408,f413,f418,f423,f428,f433,f438,f443,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f562,f566,f570,f574,f578,f582,f586,f590,f594,f598,f602,f606,f620,f626,f630,f634,f638,f642,f646,f650,f654,f659,f663,f667,f671,f675,f679,f683,f687,f691,f695,f699,f704,f708,f712,f723,f727,f731,f735,f739,f743,f747,f752,f756,f760,f764,f768,f772,f776,f780,f784,f788,f794,f798,f802,f806,f810,f814,f819,f823,f827,f831,f835,f839,f843,f847,f854,f872,f876,f880,f884,f888,f892,f907,f911,f915,f919,f932,f936,f940,f944,f948,f952,f974,f978,f985,f989,f993,f997,f1001,f1006,f1010,f1014,f1023,f1038,f1042,f1050,f1060,f1064,f1068,f1073,f1077,f1081,f1085,f1098,f1104,f1115,f1119,f1125,f1130,f1138,f1144,f1150,f1159,f1163,f1176,f1181,f1186,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1229,f1240,f1248,f1253,f1259,f1264,f1268,f1276,f1280,f1285,f1291,f1298,f1305,f1313,f1317,f1321,f1325,f1329,f1336,f1340,f1341,f1342,f1346,f1367,f1376,f1380,f1384,f1397,f1401,f1405,f1409,f1419,f1436,f1441,f1445,f1452,f1456,f1460,f1469,f1473,f1477,f1481,f1500,f1504,f1510,f1516,f1520,f1525,f1531,f1537,f1541,f1545,f1549,f1572,f1576,f1584,f1591,f1606,f1612,f1655,f1660,f1665,f1669,f1673,f1679,f1683,f1694,f1698,f1717,f1728,f1732,f1736,f1740,f1745,f1749,f1755,f1765,f1769,f1778,f1783,f1794,f1798,f1802,f1806,f1811,f1815,f1821,f1829,f1834,f1839,f1844,f1849,f1854,f1868,f1877,f1881,f1886,f1892,f1906,f1917,f1923,f1929,f1933,f1937,f1940,f1945,f1949,f1955,f1959,f1978,f1983,f1995,f2000,f2004,f2009,f2013,f2017,f2021,f2025,f2029,f2044,f2051,f2060,f2064,f2068,f2072,f2079,f2083,f2087,f2091,f2096,f2106,f2110,f2115,f2121,f2125,f2135,f2140,f2145,f2150,f2157,f2161,f2167,f2172,f2194,f2198,f2203,f2207,f2224,f2228,f2231,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2263,f2267,f2268,f2277,f2281,f2289,f2293,f2297,f2301,f2305,f2310,f2328,f2338,f2342,f2346,f2350,f2363,f2367,f2371,f2375,f2379,f2383,f2444,f2448,f2452,f2460,f2470,f2474,f2486,f2496,f2500,f2512,f2516,f2532,f2536,f2548,f2556,f2566,f2576,f2589,f2601,f2605,f2610,f2619,f2626,f2630,f2646,f2650,f2654,f2666,f2674,f2678,f2683,f2693,f2697,f2707,f2716,f2732,f2738,f2747,f2762,f2766,f2770,f2774,f2783,f2794,f2799,f2814,f2818,f2830,f2835]) ).
fof(f2835,plain,
( ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_7
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| spl32_11
| ~ spl32_12
| ~ spl32_13
| ~ spl32_20
| ~ spl32_21
| spl32_25
| ~ spl32_19
| spl32_1
| spl32_24
| ~ spl32_290
| ~ spl32_315 ),
inference(avatar_split_clause,[],[f2136,f2133,f1992,f480,f365,f455,f485,f465,f460,f425,f420,f415,f410,f405,f400,f395,f390,f385,f380,f375,f370]) ).
fof(f370,plain,
( spl32_2
<=> v3_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f375,plain,
( spl32_3
<=> v4_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f380,plain,
( spl32_4
<=> v5_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f385,plain,
( spl32_5
<=> v6_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f390,plain,
( spl32_6
<=> v4_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f395,plain,
( spl32_7
<=> v7_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f400,plain,
( spl32_8
<=> v6_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f405,plain,
( spl32_9
<=> v7_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f410,plain,
( spl32_10
<=> v8_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).
fof(f415,plain,
( spl32_11
<=> v10_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f420,plain,
( spl32_12
<=> v2_vectsp_2(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).
fof(f425,plain,
( spl32_13
<=> l3_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f460,plain,
( spl32_20
<=> v5_vectsp_2(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f465,plain,
( spl32_21
<=> l1_vectsp_2(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
fof(f485,plain,
( spl32_25
<=> sK6 = k1_rmod_5(sK5,sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f455,plain,
( spl32_19
<=> v3_vectsp_2(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f365,plain,
( spl32_1
<=> v3_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f480,plain,
( spl32_24
<=> k1_rlvect_1(sK5) = k2_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f1992,plain,
( spl32_290
<=> m1_rmod_2(sK6,sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_290])]) ).
fof(f2133,plain,
( spl32_315
<=> ! [X0] :
( v3_struct_0(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(sK6,X0,sK6)
| ~ v3_vectsp_2(sK6,X0)
| sK6 = k1_rmod_5(X0,sK6,sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ v5_vectsp_2(sK6,X0)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_315])]) ).
fof(f2136,plain,
( k1_rlvect_1(sK5) = k2_group_1(sK5)
| v3_struct_0(sK5)
| ~ v3_vectsp_2(sK6,sK5)
| sK6 = k1_rmod_5(sK5,sK6,sK7)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| ~ spl32_290
| ~ spl32_315 ),
inference(resolution,[],[f2134,f1994]) ).
fof(f1994,plain,
( m1_rmod_2(sK6,sK5,sK6)
| ~ spl32_290 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f2134,plain,
( ! [X0] :
( ~ m1_rmod_2(sK6,X0,sK6)
| k1_rlvect_1(X0) = k2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_vectsp_2(sK6,X0)
| sK6 = k1_rmod_5(X0,sK6,sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ v5_vectsp_2(sK6,X0)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0) )
| ~ spl32_315 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2830,plain,
( spl32_152
| spl32_407
| ~ spl32_144
| ~ spl32_274 ),
inference(avatar_split_clause,[],[f1901,f1890,f1096,f2828,f1147]) ).
fof(f1147,plain,
( spl32_152
<=> v1_xboole_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_152])]) ).
fof(f2828,plain,
( spl32_407
<=> ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X2,sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v3_struct_0(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)))
| ~ l1_vectsp_2(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_407])]) ).
fof(f1096,plain,
( spl32_144
<=> ! [X4,X0,X3,X2,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_144])]) ).
fof(f1890,plain,
( spl32_274
<=> ! [X0] :
( ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0)
| m1_relset_1(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_274])]) ).
fof(f1901,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)))
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1)
| v1_xboole_0(sK7) )
| ~ spl32_144
| ~ spl32_274 ),
inference(duplicate_literal_removal,[],[f1894]) ).
fof(f1894,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)))
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1)
| v1_xboole_0(sK7)
| ~ l1_struct_0(X0) )
| ~ spl32_144
| ~ spl32_274 ),
inference(resolution,[],[f1891,f1097]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4))
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_144 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1891,plain,
( ! [X0] :
( m1_relset_1(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0) )
| ~ spl32_274 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f2818,plain,
( spl32_406
| ~ spl32_143
| ~ spl32_274 ),
inference(avatar_split_clause,[],[f1900,f1890,f1083,f2816]) ).
fof(f2816,plain,
( spl32_406
<=> ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| l1_vectsp_2(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_406])]) ).
fof(f1083,plain,
( spl32_143
<=> ! [X4,X0,X3,X2,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_143])]) ).
fof(f1900,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| l1_vectsp_2(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1) )
| ~ spl32_143
| ~ spl32_274 ),
inference(duplicate_literal_removal,[],[f1895]) ).
fof(f1895,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| l1_vectsp_2(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_143
| ~ spl32_274 ),
inference(resolution,[],[f1891,f1084]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_143 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f2814,plain,
( spl32_405
| ~ spl32_142
| ~ spl32_274 ),
inference(avatar_split_clause,[],[f1899,f1890,f1079,f2812]) ).
fof(f2812,plain,
( spl32_405
<=> ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| v3_vectsp_2(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_405])]) ).
fof(f1079,plain,
( spl32_142
<=> ! [X4,X0,X3,X2,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_142])]) ).
fof(f1899,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| v3_vectsp_2(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1) )
| ~ spl32_142
| ~ spl32_274 ),
inference(duplicate_literal_removal,[],[f1896]) ).
fof(f1896,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(sK6,X0)
| v3_vectsp_2(g1_vectsp_2(X0,sK7,X1,X2,u1_vectsp_2(X0,sK6)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ v1_funct_1(u1_vectsp_2(X0,sK6))
| ~ m1_subset_1(X2,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_142
| ~ spl32_274 ),
inference(resolution,[],[f1891,f1080]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_142 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f2799,plain,
( ~ spl32_117
| ~ spl32_140
| ~ spl32_323
| ~ spl32_168
| spl32_404
| ~ spl32_22
| ~ spl32_365 ),
inference(avatar_split_clause,[],[f2492,f2484,f470,f2797,f1245,f2176,f1070,f929]) ).
fof(f929,plain,
( spl32_117
<=> l1_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_117])]) ).
fof(f1070,plain,
( spl32_140
<=> l1_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_140])]) ).
fof(f2176,plain,
( spl32_323
<=> v1_funct_1(u1_rlvect_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_323])]) ).
fof(f1245,plain,
( spl32_168
<=> v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_168])]) ).
fof(f2797,plain,
( spl32_404
<=> ! [X0,X1] :
( sP4(u1_rlvect_1(sK6),u1_rlvect_1(sK6),X0,X0,X1,X1,sK7,sK7,sK6,sK6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_404])]) ).
fof(f470,plain,
( spl32_22
<=> u1_struct_0(sK6) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f2484,plain,
( spl32_365
<=> ! [X2,X0,X1] :
( sP4(u1_rlvect_1(X0),u1_rlvect_1(X0),X1,X1,X2,X2,u1_struct_0(X0),u1_struct_0(X0),X0,X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_365])]) ).
fof(f2492,plain,
( ! [X0,X1] :
( sP4(u1_rlvect_1(sK6),u1_rlvect_1(sK6),X0,X0,X1,X1,sK7,sK7,sK6,sK6)
| ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ m1_subset_1(X0,sK7)
| ~ m1_relset_1(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X1,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(sK6)
| ~ l1_rlvect_1(sK6) )
| ~ spl32_22
| ~ spl32_365 ),
inference(superposition,[],[f2485,f472]) ).
fof(f472,plain,
( u1_struct_0(sK6) = sK7
| ~ spl32_22 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f2485,plain,
( ! [X2,X0,X1] :
( sP4(u1_rlvect_1(X0),u1_rlvect_1(X0),X1,X1,X2,X2,u1_struct_0(X0),u1_struct_0(X0),X0,X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_rlvect_1(X0) )
| ~ spl32_365 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2794,plain,
( ~ spl32_98
| spl32_152
| ~ spl32_324
| ~ spl32_325
| spl32_403
| ~ spl32_144
| ~ spl32_326 ),
inference(avatar_split_clause,[],[f2270,f2188,f1096,f2792,f2184,f2180,f1147,f816]) ).
fof(f816,plain,
( spl32_98
<=> l1_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_98])]) ).
fof(f2180,plain,
( spl32_324
<=> v1_funct_1(u1_vectsp_2(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_324])]) ).
fof(f2184,plain,
( spl32_325
<=> v1_funct_2(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_325])]) ).
fof(f2792,plain,
( spl32_403
<=> ! [X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(sK5,sK7,X0,X1,u1_vectsp_2(sK5,sK6)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_403])]) ).
fof(f2188,plain,
( spl32_326
<=> m1_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_326])]) ).
fof(f2270,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(sK5,sK7,X0,X1,u1_vectsp_2(sK5,sK6)))
| ~ v1_funct_2(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ v1_funct_1(u1_vectsp_2(sK5,sK6))
| ~ m1_subset_1(X1,sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| v1_xboole_0(sK7)
| ~ l1_struct_0(sK5) )
| ~ spl32_144
| ~ spl32_326 ),
inference(resolution,[],[f2189,f1097]) ).
fof(f2189,plain,
( m1_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ spl32_326 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2783,plain,
( ~ spl32_98
| ~ spl32_324
| ~ spl32_325
| spl32_402
| ~ spl32_142
| ~ spl32_326 ),
inference(avatar_split_clause,[],[f2272,f2188,f1079,f2781,f2184,f2180,f816]) ).
fof(f2781,plain,
( spl32_402
<=> ! [X0,X1] :
( v3_vectsp_2(g1_vectsp_2(sK5,sK7,X0,X1,u1_vectsp_2(sK5,sK6)),sK5)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_402])]) ).
fof(f2272,plain,
( ! [X0,X1] :
( v3_vectsp_2(g1_vectsp_2(sK5,sK7,X0,X1,u1_vectsp_2(sK5,sK6)),sK5)
| ~ v1_funct_2(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ v1_funct_1(u1_vectsp_2(sK5,sK6))
| ~ m1_subset_1(X1,sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ l1_struct_0(sK5) )
| ~ spl32_142
| ~ spl32_326 ),
inference(resolution,[],[f2189,f1080]) ).
fof(f2774,plain,
( ~ spl32_98
| ~ spl32_324
| ~ spl32_325
| spl32_401
| ~ spl32_143
| ~ spl32_326 ),
inference(avatar_split_clause,[],[f2271,f2188,f1083,f2772,f2184,f2180,f816]) ).
fof(f2772,plain,
( spl32_401
<=> ! [X0,X1] :
( l1_vectsp_2(g1_vectsp_2(sK5,sK7,X0,X1,u1_vectsp_2(sK5,sK6)),sK5)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_401])]) ).
fof(f2271,plain,
( ! [X0,X1] :
( l1_vectsp_2(g1_vectsp_2(sK5,sK7,X0,X1,u1_vectsp_2(sK5,sK6)),sK5)
| ~ v1_funct_2(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ v1_funct_1(u1_vectsp_2(sK5,sK6))
| ~ m1_subset_1(X1,sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ l1_struct_0(sK5) )
| ~ spl32_143
| ~ spl32_326 ),
inference(resolution,[],[f2189,f1084]) ).
fof(f2770,plain,
( spl32_400
| ~ spl32_131
| ~ spl32_314 ),
inference(avatar_split_clause,[],[f2131,f2123,f1008,f2768]) ).
fof(f2768,plain,
( spl32_400
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_400])]) ).
fof(f1008,plain,
( spl32_131
<=> ! [X0,X1] :
( v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_131])]) ).
fof(f2123,plain,
( spl32_314
<=> ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ v1_funct_2(u1_vectsp_2(X0,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_314])]) ).
fof(f2131,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) )
| ~ spl32_131
| ~ spl32_314 ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2129,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6)
| ~ l1_vectsp_2(X0,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_131
| ~ spl32_314 ),
inference(resolution,[],[f2124,f1009]) ).
fof(f1009,plain,
( ! [X0,X1] :
( v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_131 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f2124,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_vectsp_2(X0,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) )
| ~ spl32_314 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2766,plain,
( spl32_399
| ~ spl32_131
| ~ spl32_313 ),
inference(avatar_split_clause,[],[f2128,f2119,f1008,f2764]) ).
fof(f2764,plain,
( spl32_399
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_399])]) ).
fof(f2119,plain,
( spl32_313
<=> ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ v1_funct_2(u1_vectsp_2(X0,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_313])]) ).
fof(f2128,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) )
| ~ spl32_131
| ~ spl32_313 ),
inference(duplicate_literal_removal,[],[f2126]) ).
fof(f2126,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6)
| ~ l1_vectsp_2(X0,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_131
| ~ spl32_313 ),
inference(resolution,[],[f2120,f1009]) ).
fof(f2120,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_vectsp_2(X0,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) )
| ~ spl32_313 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f2762,plain,
( ~ spl32_140
| spl32_152
| ~ spl32_323
| ~ spl32_117
| spl32_398
| ~ spl32_168
| ~ spl32_22
| ~ spl32_359 ),
inference(avatar_split_clause,[],[f2454,f2442,f470,f1245,f2760,f929,f2176,f1147,f1070]) ).
fof(f2760,plain,
( spl32_398
<=> ! [X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_398])]) ).
fof(f2442,plain,
( spl32_359
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_359])]) ).
fof(f2454,plain,
( ! [X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v3_struct_0(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)))
| ~ l1_rlvect_1(sK6)
| ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ m1_subset_1(X1,sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| v1_xboole_0(sK7)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_359 ),
inference(superposition,[],[f2443,f472]) ).
fof(f2443,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)))
| ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_359 ),
inference(avatar_component_clause,[],[f2442]) ).
fof(f2747,plain,
( spl32_397
| ~ spl32_107
| ~ spl32_292 ),
inference(avatar_split_clause,[],[f2036,f2002,f870,f2745]) ).
fof(f2745,plain,
( spl32_397
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK8(X0))
| r2_hidden(sK15(sK8(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_397])]) ).
fof(f870,plain,
( spl32_107
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_107])]) ).
fof(f2002,plain,
( spl32_292
<=> ! [X0] :
( m1_subset_1(sK15(sK8(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_292])]) ).
fof(f2036,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK8(X0))
| r2_hidden(sK15(sK8(X0)),X0) )
| ~ spl32_107
| ~ spl32_292 ),
inference(duplicate_literal_removal,[],[f2033]) ).
fof(f2033,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK8(X0))
| v1_xboole_0(X0)
| r2_hidden(sK15(sK8(X0)),X0) )
| ~ spl32_107
| ~ spl32_292 ),
inference(resolution,[],[f2003,f871]) ).
fof(f871,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl32_107 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f2003,plain,
( ! [X0] :
( m1_subset_1(sK15(sK8(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK8(X0)) )
| ~ spl32_292 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f2738,plain,
( spl32_396
| ~ spl32_183
| ~ spl32_380
| ~ spl32_395 ),
inference(avatar_split_clause,[],[f2734,f2730,f2607,f1327,f2736]) ).
fof(f2736,plain,
( spl32_396
<=> ! [X0,X1] :
( ~ m1_relset_1(X0,sK29,sK7)
| ~ v1_funct_2(X0,sK29,sK7)
| v3_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_396])]) ).
fof(f1327,plain,
( spl32_183
<=> ! [X0] :
( sK29 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_183])]) ).
fof(f2607,plain,
( spl32_380
<=> v1_xboole_0(k2_zfmisc_1(sK7,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_380])]) ).
fof(f2730,plain,
( spl32_395
<=> ! [X0,X1] :
( v3_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_395])]) ).
fof(f2734,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sK29,sK7)
| ~ v1_funct_2(X0,sK29,sK7)
| v3_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,sK7) )
| ~ spl32_183
| ~ spl32_380
| ~ spl32_395 ),
inference(forward_demodulation,[],[f2733,f2725]) ).
fof(f2725,plain,
( sK29 = k2_zfmisc_1(sK7,sK7)
| ~ spl32_183
| ~ spl32_380 ),
inference(resolution,[],[f2609,f1328]) ).
fof(f1328,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK29 = X0 )
| ~ spl32_183 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f2609,plain,
( v1_xboole_0(k2_zfmisc_1(sK7,sK7))
| ~ spl32_380 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f2733,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sK29,sK7)
| v3_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) )
| ~ spl32_183
| ~ spl32_380
| ~ spl32_395 ),
inference(forward_demodulation,[],[f2731,f2725]) ).
fof(f2731,plain,
( ! [X0,X1] :
( v3_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) )
| ~ spl32_395 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f2732,plain,
( ~ spl32_140
| ~ spl32_323
| ~ spl32_117
| spl32_395
| ~ spl32_168
| ~ spl32_22
| ~ spl32_352 ),
inference(avatar_split_clause,[],[f2358,f2348,f470,f1245,f2730,f929,f2176,f1070]) ).
fof(f2348,plain,
( spl32_352
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_352])]) ).
fof(f2358,plain,
( ! [X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| v3_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ l1_rlvect_1(sK6)
| ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ m1_subset_1(X1,sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_352 ),
inference(superposition,[],[f2349,f472]) ).
fof(f2349,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_352 ),
inference(avatar_component_clause,[],[f2348]) ).
fof(f2716,plain,
( ~ spl32_140
| ~ spl32_323
| ~ spl32_117
| spl32_394
| ~ spl32_168
| ~ spl32_22
| ~ spl32_351 ),
inference(avatar_split_clause,[],[f2355,f2344,f470,f1245,f2714,f929,f2176,f1070]) ).
fof(f2714,plain,
( spl32_394
<=> ! [X0,X1] :
( l1_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_394])]) ).
fof(f2344,plain,
( spl32_351
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_351])]) ).
fof(f2355,plain,
( ! [X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| l1_vectsp_2(g1_vectsp_2(sK6,sK7,X0,X1,u1_rlvect_1(sK6)),sK6)
| ~ l1_rlvect_1(sK6)
| ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ m1_subset_1(X1,sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_351 ),
inference(superposition,[],[f2345,f472]) ).
fof(f2345,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_351 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2707,plain,
( spl32_393
| ~ spl32_168
| ~ spl32_323
| ~ spl32_235
| ~ spl32_300 ),
inference(avatar_split_clause,[],[f2054,f2049,f1657,f2176,f1245,f2705]) ).
fof(f2705,plain,
( spl32_393
<=> ! [X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| sP4(X0,X0,X1,X1,u1_rlvect_1(sK6),u1_rlvect_1(sK6),sK7,sK7,sK6,sK6)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_393])]) ).
fof(f1657,plain,
( spl32_235
<=> m1_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_235])]) ).
fof(f2049,plain,
( spl32_300
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| sP4(X0,X0,X2,X2,X3,X3,X1,X1,sK6,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_300])]) ).
fof(f2054,plain,
( ! [X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| sP4(X0,X0,X1,X1,u1_rlvect_1(sK6),u1_rlvect_1(sK6),sK7,sK7,sK6,sK6) )
| ~ spl32_235
| ~ spl32_300 ),
inference(resolution,[],[f2050,f1659]) ).
fof(f1659,plain,
( m1_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ spl32_235 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f2050,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| sP4(X0,X0,X2,X2,X3,X3,X1,X1,sK6,sK6) )
| ~ spl32_300 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2697,plain,
( spl32_392
| ~ spl32_123
| ~ spl32_306 ),
inference(avatar_split_clause,[],[f2102,f2081,f972,f2695]) ).
fof(f2695,plain,
( spl32_392
<=> ! [X2,X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_392])]) ).
fof(f972,plain,
( spl32_123
<=> ! [X0] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_123])]) ).
fof(f2081,plain,
( spl32_306
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_306])]) ).
fof(f2102,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) )
| ~ spl32_123
| ~ spl32_306 ),
inference(duplicate_literal_removal,[],[f2100]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6)
| ~ l1_rlvect_1(X0) )
| ~ spl32_123
| ~ spl32_306 ),
inference(resolution,[],[f2082,f973]) ).
fof(f973,plain,
( ! [X0] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) )
| ~ spl32_123 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f2082,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) )
| ~ spl32_306 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f2693,plain,
( spl32_391
| ~ spl32_123
| ~ spl32_305 ),
inference(avatar_split_clause,[],[f2099,f2077,f972,f2691]) ).
fof(f2691,plain,
( spl32_391
<=> ! [X2,X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_391])]) ).
fof(f2077,plain,
( spl32_305
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_305])]) ).
fof(f2099,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) )
| ~ spl32_123
| ~ spl32_305 ),
inference(duplicate_literal_removal,[],[f2097]) ).
fof(f2097,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6)
| ~ l1_rlvect_1(X0) )
| ~ spl32_123
| ~ spl32_305 ),
inference(resolution,[],[f2078,f973]) ).
fof(f2078,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) )
| ~ spl32_305 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f2683,plain,
( spl32_390
| ~ spl32_105
| ~ spl32_282 ),
inference(avatar_split_clause,[],[f1951,f1947,f845,f2681]) ).
fof(f2681,plain,
( spl32_390
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK15(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_390])]) ).
fof(f845,plain,
( spl32_105
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).
fof(f1947,plain,
( spl32_282
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK15(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_282])]) ).
fof(f1951,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK15(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl32_105
| ~ spl32_282 ),
inference(resolution,[],[f1948,f846]) ).
fof(f846,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl32_105 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f1948,plain,
( ! [X0] :
( v1_xboole_0(sK15(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl32_282 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f2678,plain,
( spl32_389
| ~ spl32_86
| ~ spl32_374 ),
inference(avatar_split_clause,[],[f2613,f2554,f766,f2676]) ).
fof(f2676,plain,
( spl32_389
<=> ! [X0] :
( ~ r2_hidden(X0,u1_rlvect_1(sK6))
| ~ r2_hidden(k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_389])]) ).
fof(f766,plain,
( spl32_86
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).
fof(f2554,plain,
( spl32_374
<=> ! [X0] :
( ~ r2_hidden(X0,u1_rlvect_1(sK6))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_374])]) ).
fof(f2613,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_rlvect_1(sK6))
| ~ r2_hidden(k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7),X0) )
| ~ spl32_86
| ~ spl32_374 ),
inference(resolution,[],[f2555,f767]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl32_86 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f2555,plain,
( ! [X0] :
( r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7))
| ~ r2_hidden(X0,u1_rlvect_1(sK6)) )
| ~ spl32_374 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2674,plain,
( spl32_388
| ~ spl32_168
| ~ spl32_323
| ~ spl32_209
| ~ spl32_235 ),
inference(avatar_split_clause,[],[f1689,f1657,f1502,f2176,f1245,f2672]) ).
fof(f2672,plain,
( spl32_388
<=> ! [X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,sK7)
| v3_vectsp_2(g1_vectsp_2(sK6,sK7,u1_rlvect_1(sK6),X1,X0),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_388])]) ).
fof(f1502,plain,
( spl32_209
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| v3_vectsp_2(g1_vectsp_2(sK6,X1,X2,X3,X0),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_209])]) ).
fof(f1689,plain,
( ! [X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| v3_vectsp_2(g1_vectsp_2(sK6,sK7,u1_rlvect_1(sK6),X1,X0),sK6) )
| ~ spl32_209
| ~ spl32_235 ),
inference(resolution,[],[f1659,f1503]) ).
fof(f1503,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| v3_vectsp_2(g1_vectsp_2(sK6,X1,X2,X3,X0),sK6) )
| ~ spl32_209 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f2666,plain,
( spl32_387
| ~ spl32_168
| ~ spl32_323
| ~ spl32_210
| ~ spl32_235 ),
inference(avatar_split_clause,[],[f1688,f1657,f1508,f2176,f1245,f2664]) ).
fof(f2664,plain,
( spl32_387
<=> ! [X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,sK7)
| l1_vectsp_2(g1_vectsp_2(sK6,sK7,u1_rlvect_1(sK6),X1,X0),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_387])]) ).
fof(f1508,plain,
( spl32_210
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| l1_vectsp_2(g1_vectsp_2(sK6,X1,X2,X3,X0),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_210])]) ).
fof(f1688,plain,
( ! [X0,X1] :
( ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_relset_1(X0,k2_zfmisc_1(sK7,sK7),sK7)
| ~ m1_subset_1(X1,sK7)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK7,sK7),sK7)
| l1_vectsp_2(g1_vectsp_2(sK6,sK7,u1_rlvect_1(sK6),X1,X0),sK6) )
| ~ spl32_210
| ~ spl32_235 ),
inference(resolution,[],[f1659,f1509]) ).
fof(f1509,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| l1_vectsp_2(g1_vectsp_2(sK6,X1,X2,X3,X0),sK6) )
| ~ spl32_210 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f2654,plain,
( spl32_386
| ~ spl32_50
| ~ spl32_284 ),
inference(avatar_split_clause,[],[f1961,f1957,f600,f2652]) ).
fof(f2652,plain,
( spl32_386
<=> ! [X0] :
( ~ sP1(X0)
| ~ l1_struct_0(X0)
| l1_struct_0(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_386])]) ).
fof(f600,plain,
( spl32_50
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).
fof(f1957,plain,
( spl32_284
<=> ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP1(X0)
| l2_struct_0(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_284])]) ).
fof(f1961,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ l1_struct_0(X0)
| l1_struct_0(sK14(X0)) )
| ~ spl32_50
| ~ spl32_284 ),
inference(resolution,[],[f1958,f601]) ).
fof(f601,plain,
( ! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) )
| ~ spl32_50 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f1958,plain,
( ! [X0] :
( l2_struct_0(sK14(X0))
| ~ sP1(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_284 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f2650,plain,
( spl32_385
| ~ spl32_50
| ~ spl32_283 ),
inference(avatar_split_clause,[],[f1960,f1953,f600,f2648]) ).
fof(f2648,plain,
( spl32_385
<=> ! [X0] :
( ~ sP0(X0)
| ~ l1_struct_0(X0)
| l1_struct_0(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_385])]) ).
fof(f1953,plain,
( spl32_283
<=> ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP0(X0)
| l2_struct_0(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_283])]) ).
fof(f1960,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ l1_struct_0(X0)
| l1_struct_0(sK13(X0)) )
| ~ spl32_50
| ~ spl32_283 ),
inference(resolution,[],[f1954,f601]) ).
fof(f1954,plain,
( ! [X0] :
( l2_struct_0(sK13(X0))
| ~ sP0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_283 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f2646,plain,
( spl32_384
| ~ spl32_183
| ~ spl32_282 ),
inference(avatar_split_clause,[],[f1950,f1947,f1327,f2644]) ).
fof(f2644,plain,
( spl32_384
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK29 = sK15(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_384])]) ).
fof(f1950,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK29 = sK15(k1_zfmisc_1(X0)) )
| ~ spl32_183
| ~ spl32_282 ),
inference(resolution,[],[f1948,f1328]) ).
fof(f2630,plain,
( spl32_383
| ~ spl32_107
| ~ spl32_277 ),
inference(avatar_split_clause,[],[f1924,f1921,f870,f2628]) ).
fof(f2628,plain,
( spl32_383
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,sK6))
| ~ l1_vectsp_2(sK6,X1)
| ~ l1_struct_0(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_383])]) ).
fof(f1921,plain,
( spl32_277
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,sK6))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7))
| ~ l1_vectsp_2(sK6,X1)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_277])]) ).
fof(f1924,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,sK6))
| ~ l1_vectsp_2(sK6,X1)
| ~ l1_struct_0(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7)) )
| ~ spl32_107
| ~ spl32_277 ),
inference(resolution,[],[f1922,f871]) ).
fof(f1922,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7))
| ~ r2_hidden(X0,u1_vectsp_2(X1,sK6))
| ~ l1_vectsp_2(sK6,X1)
| ~ l1_struct_0(X1) )
| ~ spl32_277 ),
inference(avatar_component_clause,[],[f1921]) ).
fof(f2626,plain,
( spl32_382
| ~ spl32_107
| ~ spl32_276 ),
inference(avatar_split_clause,[],[f1918,f1915,f870,f2624]) ).
fof(f2624,plain,
( spl32_382
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(sK6,X1))
| ~ l1_vectsp_2(X1,sK6)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_382])]) ).
fof(f1915,plain,
( spl32_276
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(sK6,X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_276])]) ).
fof(f1918,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(sK6,X1))
| ~ l1_vectsp_2(X1,sK6)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1))) )
| ~ spl32_107
| ~ spl32_276 ),
inference(resolution,[],[f1916,f871]) ).
fof(f1916,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1)))
| ~ r2_hidden(X0,u1_vectsp_2(sK6,X1))
| ~ l1_vectsp_2(X1,sK6) )
| ~ spl32_276 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f2619,plain,
( spl32_381
| ~ spl32_50
| ~ spl32_280 ),
inference(avatar_split_clause,[],[f1941,f1935,f600,f2617]) ).
fof(f2617,plain,
( spl32_381
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l1_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_381])]) ).
fof(f1935,plain,
( spl32_280
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_280])]) ).
fof(f1941,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l1_struct_0(sK9(X0)) )
| ~ spl32_50
| ~ spl32_280 ),
inference(resolution,[],[f1936,f601]) ).
fof(f1936,plain,
( ! [X0] :
( l2_struct_0(sK9(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_280 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f2610,plain,
( spl32_380
| spl32_152
| ~ spl32_108
| ~ spl32_373 ),
inference(avatar_split_clause,[],[f2558,f2550,f874,f1147,f2607]) ).
fof(f874,plain,
( spl32_108
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_108])]) ).
fof(f2550,plain,
( spl32_373
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_373])]) ).
fof(f2558,plain,
( v1_xboole_0(sK7)
| v1_xboole_0(k2_zfmisc_1(sK7,sK7))
| ~ spl32_108
| ~ spl32_373 ),
inference(resolution,[],[f2552,f875]) ).
fof(f875,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl32_108 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f2552,plain,
( v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7))
| ~ spl32_373 ),
inference(avatar_component_clause,[],[f2550]) ).
fof(f2605,plain,
( spl32_379
| ~ spl32_50
| ~ spl32_279 ),
inference(avatar_split_clause,[],[f1939,f1931,f600,f2603]) ).
fof(f2603,plain,
( spl32_379
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l1_struct_0(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_379])]) ).
fof(f1931,plain,
( spl32_279
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_279])]) ).
fof(f1939,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l1_struct_0(sK10(X0)) )
| ~ spl32_50
| ~ spl32_279 ),
inference(resolution,[],[f1932,f601]) ).
fof(f1932,plain,
( ! [X0] :
( l2_struct_0(sK10(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_279 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f2601,plain,
( spl32_378
| ~ spl32_50
| ~ spl32_278 ),
inference(avatar_split_clause,[],[f1938,f1927,f600,f2599]) ).
fof(f2599,plain,
( spl32_378
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l1_struct_0(sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_378])]) ).
fof(f1927,plain,
( spl32_278
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_278])]) ).
fof(f1938,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l1_struct_0(sK11(X0)) )
| ~ spl32_50
| ~ spl32_278 ),
inference(resolution,[],[f1928,f601]) ).
fof(f1928,plain,
( ! [X0] :
( l2_struct_0(sK11(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_278 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f2589,plain,
( spl32_377
| ~ spl32_98
| ~ spl32_179
| ~ spl32_331 ),
inference(avatar_split_clause,[],[f2230,f2226,f1310,f816,f2586]) ).
fof(f2586,plain,
( spl32_377
<=> sK14(sK5) = g1_vectsp_2(sK5,u1_struct_0(sK14(sK5)),u1_rlvect_1(sK14(sK5)),u2_struct_0(sK14(sK5)),u1_vectsp_2(sK5,sK14(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_377])]) ).
fof(f1310,plain,
( spl32_179
<=> sP1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_179])]) ).
fof(f2226,plain,
( spl32_331
<=> ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_331])]) ).
fof(f2230,plain,
( ~ l1_struct_0(sK5)
| sK14(sK5) = g1_vectsp_2(sK5,u1_struct_0(sK14(sK5)),u1_rlvect_1(sK14(sK5)),u2_struct_0(sK14(sK5)),u1_vectsp_2(sK5,sK14(sK5)))
| ~ spl32_179
| ~ spl32_331 ),
inference(resolution,[],[f2227,f1312]) ).
fof(f1312,plain,
( sP1(sK5)
| ~ spl32_179 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f2227,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ l1_struct_0(X0)
| sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) )
| ~ spl32_331 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f2576,plain,
( spl32_376
| ~ spl32_98
| ~ spl32_178
| ~ spl32_330 ),
inference(avatar_split_clause,[],[f2229,f2222,f1302,f816,f2573]) ).
fof(f2573,plain,
( spl32_376
<=> sK13(sK5) = g1_vectsp_2(sK5,u1_struct_0(sK13(sK5)),u1_rlvect_1(sK13(sK5)),u2_struct_0(sK13(sK5)),u1_vectsp_2(sK5,sK13(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_376])]) ).
fof(f1302,plain,
( spl32_178
<=> sP0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_178])]) ).
fof(f2222,plain,
( spl32_330
<=> ! [X0] :
( sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_330])]) ).
fof(f2229,plain,
( ~ l1_struct_0(sK5)
| sK13(sK5) = g1_vectsp_2(sK5,u1_struct_0(sK13(sK5)),u1_rlvect_1(sK13(sK5)),u2_struct_0(sK13(sK5)),u1_vectsp_2(sK5,sK13(sK5)))
| ~ spl32_178
| ~ spl32_330 ),
inference(resolution,[],[f2223,f1304]) ).
fof(f1304,plain,
( sP0(sK5)
| ~ spl32_178 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f2223,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ l1_struct_0(X0)
| sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0))) )
| ~ spl32_330 ),
inference(avatar_component_clause,[],[f2222]) ).
fof(f2566,plain,
( spl32_375
| ~ spl32_177
| ~ spl32_327 ),
inference(avatar_split_clause,[],[f2283,f2192,f1295,f2563]) ).
fof(f2563,plain,
( spl32_375
<=> sP4(u1_vectsp_2(sK5,sK6),u1_vectsp_2(sK5,sK6),u2_struct_0(sK6),u2_struct_0(sK6),u1_rlvect_1(sK6),u1_rlvect_1(sK6),sK7,sK7,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_375])]) ).
fof(f1295,plain,
( spl32_177
<=> sK6 = g1_vectsp_2(sK5,sK7,u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_177])]) ).
fof(f2192,plain,
( spl32_327
<=> ! [X4,X0,X3,X2,X1] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != sK6
| sP4(X4,u1_vectsp_2(sK5,sK6),X3,u2_struct_0(sK6),X2,u1_rlvect_1(sK6),X1,sK7,X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_327])]) ).
fof(f2283,plain,
( sP4(u1_vectsp_2(sK5,sK6),u1_vectsp_2(sK5,sK6),u2_struct_0(sK6),u2_struct_0(sK6),u1_rlvect_1(sK6),u1_rlvect_1(sK6),sK7,sK7,sK5,sK5)
| ~ spl32_177
| ~ spl32_327 ),
inference(trivial_inequality_removal,[],[f2282]) ).
fof(f2282,plain,
( sK6 != sK6
| sP4(u1_vectsp_2(sK5,sK6),u1_vectsp_2(sK5,sK6),u2_struct_0(sK6),u2_struct_0(sK6),u1_rlvect_1(sK6),u1_rlvect_1(sK6),sK7,sK7,sK5,sK5)
| ~ spl32_177
| ~ spl32_327 ),
inference(superposition,[],[f2193,f1297]) ).
fof(f1297,plain,
( sK6 = g1_vectsp_2(sK5,sK7,u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6))
| ~ spl32_177 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f2193,plain,
( ! [X2,X3,X0,X1,X4] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != sK6
| sP4(X4,u1_vectsp_2(sK5,sK6),X3,u2_struct_0(sK6),X2,u1_rlvect_1(sK6),X1,sK7,X0,sK5) )
| ~ spl32_327 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f2556,plain,
( spl32_373
| spl32_374
| ~ spl32_107
| ~ spl32_272 ),
inference(avatar_split_clause,[],[f1882,f1879,f870,f2554,f2550]) ).
fof(f1879,plain,
( spl32_272
<=> ! [X0] :
( ~ r2_hidden(X0,u1_rlvect_1(sK6))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_272])]) ).
fof(f1882,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_rlvect_1(sK6))
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7)) )
| ~ spl32_107
| ~ spl32_272 ),
inference(resolution,[],[f1880,f871]) ).
fof(f1880,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7))
| ~ r2_hidden(X0,u1_rlvect_1(sK6)) )
| ~ spl32_272 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f2548,plain,
( spl32_372
| ~ spl32_216
| ~ spl32_362 ),
inference(avatar_split_clause,[],[f2501,f2457,f1539,f2546]) ).
fof(f2546,plain,
( spl32_372
<=> ! [X0] :
( ~ r2_hidden(X0,u1_vectsp_2(sK5,sK6))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_372])]) ).
fof(f1539,plain,
( spl32_216
<=> ! [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,[spl32_216])]) ).
fof(f2457,plain,
( spl32_362
<=> m2_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_362])]) ).
fof(f2501,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_vectsp_2(sK5,sK6))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)) )
| ~ spl32_216
| ~ spl32_362 ),
inference(resolution,[],[f2459,f1540]) ).
fof(f1540,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl32_216 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f2459,plain,
( m2_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ spl32_362 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f2536,plain,
( spl32_371
| ~ spl32_42
| ~ spl32_261 ),
inference(avatar_split_clause,[],[f1822,f1819,f568,f2534]) ).
fof(f2534,plain,
( spl32_371
<=> ! [X0,X1] :
( ~ m1_rmod_2(X0,X1,X0)
| ~ v3_vectsp_2(X0,X1)
| k1_rmod_5(X1,X0,u1_struct_0(X0)) = X0
| ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| k1_rlvect_1(X1) = k2_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_371])]) ).
fof(f568,plain,
( spl32_42
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
fof(f1819,plain,
( spl32_261
<=> ! [X2,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_vectsp_2(X1,X0)
| k1_rmod_5(X0,X2,u1_struct_0(X1)) = X1
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_261])]) ).
fof(f1822,plain,
( ! [X0,X1] :
( ~ m1_rmod_2(X0,X1,X0)
| ~ v3_vectsp_2(X0,X1)
| k1_rmod_5(X1,X0,u1_struct_0(X0)) = X0
| ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| k1_rlvect_1(X1) = k2_group_1(X1) )
| ~ spl32_42
| ~ spl32_261 ),
inference(resolution,[],[f1820,f569]) ).
fof(f569,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl32_42 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_vectsp_2(X1,X0)
| k1_rmod_5(X0,X2,u1_struct_0(X1)) = X1
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(X0) = k2_group_1(X0) )
| ~ spl32_261 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f2532,plain,
( spl32_370
| ~ spl32_222
| ~ spl32_250 ),
inference(avatar_split_clause,[],[f1761,f1753,f1589,f2530]) ).
fof(f2530,plain,
( spl32_370
<=> ! [X0,X3,X2,X1] :
( sP4(u1_vectsp_2(X0,X1),u1_vectsp_2(X0,X1),X2,X2,X3,X3,u1_struct_0(X1),u1_struct_0(X1),X0,X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_370])]) ).
fof(f1589,plain,
( spl32_222
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| m1_relset_1(u1_vectsp_2(X1,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_222])]) ).
fof(f1753,plain,
( spl32_250
<=> ! [X4,X0,X3,X2,X1] :
( sP4(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4)
| ~ m1_relset_1(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_250])]) ).
fof(f1761,plain,
( ! [X2,X3,X0,X1] :
( sP4(u1_vectsp_2(X0,X1),u1_vectsp_2(X0,X1),X2,X2,X3,X3,u1_struct_0(X1),u1_struct_0(X1),X0,X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) )
| ~ spl32_222
| ~ spl32_250 ),
inference(duplicate_literal_removal,[],[f1757]) ).
fof(f1757,plain,
( ! [X2,X3,X0,X1] :
( sP4(u1_vectsp_2(X0,X1),u1_vectsp_2(X0,X1),X2,X2,X3,X3,u1_struct_0(X1),u1_struct_0(X1),X0,X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) )
| ~ spl32_222
| ~ spl32_250 ),
inference(resolution,[],[f1754,f1590]) ).
fof(f1590,plain,
( ! [X0,X1] :
( m1_relset_1(u1_vectsp_2(X1,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0))
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X0,X1) )
| ~ spl32_222 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1754,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| sP4(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X4) )
| ~ spl32_250 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f2516,plain,
( spl32_369
| ~ spl32_188
| ~ spl32_250 ),
inference(avatar_split_clause,[],[f1759,f1753,f1378,f2514]) ).
fof(f2514,plain,
( spl32_369
<=> ! [X0,X3,X2,X1] :
( sP4(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_369])]) ).
fof(f1378,plain,
( spl32_188
<=> ! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_188])]) ).
fof(f1759,plain,
( ! [X2,X3,X0,X1] :
( sP4(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) )
| ~ spl32_188
| ~ spl32_250 ),
inference(resolution,[],[f1754,f1379]) ).
fof(f1379,plain,
( ! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1)
| ~ spl32_188 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f2512,plain,
( spl32_368
| ~ spl32_90
| ~ spl32_250 ),
inference(avatar_split_clause,[],[f1758,f1753,f782,f2510]) ).
fof(f2510,plain,
( spl32_368
<=> ! [X0,X3,X2,X1] :
( sP4(sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_368])]) ).
fof(f782,plain,
( spl32_90
<=> ! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).
fof(f1758,plain,
( ! [X2,X3,X0,X1] :
( sP4(sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) )
| ~ spl32_90
| ~ spl32_250 ),
inference(resolution,[],[f1754,f783]) ).
fof(f783,plain,
( ! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1)
| ~ spl32_90 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f2500,plain,
( spl32_367
| ~ spl32_85
| ~ spl32_260 ),
inference(avatar_split_clause,[],[f1817,f1813,f762,f2498]) ).
fof(f2498,plain,
( spl32_367
<=> ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) = k2_rmod_2(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_367])]) ).
fof(f762,plain,
( spl32_85
<=> ! [X0] :
( v5_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
fof(f1813,plain,
( spl32_260
<=> ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) = k2_rmod_2(X0,sK14(X0))
| ~ v5_vectsp_2(sK14(X0),X0)
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_260])]) ).
fof(f1817,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) = k2_rmod_2(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_85
| ~ spl32_260 ),
inference(duplicate_literal_removal,[],[f1816]) ).
fof(f1816,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) = k2_rmod_2(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl32_85
| ~ spl32_260 ),
inference(resolution,[],[f1814,f763]) ).
fof(f763,plain,
( ! [X0] :
( v5_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) )
| ~ spl32_85 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f1814,plain,
( ! [X0] :
( ~ v5_vectsp_2(sK14(X0),X0)
| g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) = k2_rmod_2(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_260 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f2496,plain,
( spl32_366
| ~ spl32_144
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f1602,f1589,f1096,f2494]) ).
fof(f2494,plain,
( spl32_366
<=> ! [X0,X3,X2,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)))
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_366])]) ).
fof(f1602,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)))
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl32_144
| ~ spl32_222 ),
inference(duplicate_literal_removal,[],[f1592]) ).
fof(f1592,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)))
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X0) )
| ~ spl32_144
| ~ spl32_222 ),
inference(resolution,[],[f1590,f1097]) ).
fof(f2486,plain,
( spl32_365
| ~ spl32_218
| ~ spl32_250 ),
inference(avatar_split_clause,[],[f1756,f1753,f1547,f2484]) ).
fof(f1547,plain,
( spl32_218
<=> ! [X0] :
( ~ l1_rlvect_1(X0)
| m1_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_218])]) ).
fof(f1756,plain,
( ! [X2,X0,X1] :
( sP4(u1_rlvect_1(X0),u1_rlvect_1(X0),X1,X1,X2,X2,u1_struct_0(X0),u1_struct_0(X0),X0,X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_rlvect_1(X0) )
| ~ spl32_218
| ~ spl32_250 ),
inference(resolution,[],[f1754,f1548]) ).
fof(f1548,plain,
( ! [X0] :
( m1_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) )
| ~ spl32_218 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f2474,plain,
( spl32_364
| ~ spl32_143
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f1601,f1589,f1083,f2472]) ).
fof(f2472,plain,
( spl32_364
<=> ! [X0,X3,X2,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_364])]) ).
fof(f1601,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ spl32_143
| ~ spl32_222 ),
inference(duplicate_literal_removal,[],[f1593]) ).
fof(f1593,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_143
| ~ spl32_222 ),
inference(resolution,[],[f1590,f1084]) ).
fof(f2470,plain,
( spl32_363
| ~ spl32_142
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f1600,f1589,f1079,f2468]) ).
fof(f2468,plain,
( spl32_363
<=> ! [X0,X3,X2,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_363])]) ).
fof(f1600,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ spl32_142
| ~ spl32_222 ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1594,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_142
| ~ spl32_222 ),
inference(resolution,[],[f1590,f1080]) ).
fof(f2460,plain,
( spl32_362
| ~ spl32_112
| ~ spl32_326 ),
inference(avatar_split_clause,[],[f2273,f2188,f890,f2457]) ).
fof(f890,plain,
( spl32_112
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_112])]) ).
fof(f2273,plain,
( m2_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ spl32_112
| ~ spl32_326 ),
inference(resolution,[],[f2189,f891]) ).
fof(f891,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl32_112 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f2452,plain,
( spl32_361
| ~ spl32_89
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1790,f1781,f778,f2450]) ).
fof(f2450,plain,
( spl32_361
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| l1_vectsp_2(k1_rmod_5(X1,X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_361])]) ).
fof(f778,plain,
( spl32_89
<=> ! [X0,X1] :
( l1_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).
fof(f1781,plain,
( spl32_254
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| sP2(X2,k1_rmod_5(X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_254])]) ).
fof(f1790,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| l1_vectsp_2(k1_rmod_5(X1,X0,X2),X1) )
| ~ spl32_89
| ~ spl32_254 ),
inference(resolution,[],[f1782,f779]) ).
fof(f779,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| l1_vectsp_2(X1,X0) )
| ~ spl32_89 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f1782,plain,
( ! [X2,X0,X1] :
( sP2(X2,k1_rmod_5(X2,X1,X0))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl32_254 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f2448,plain,
( spl32_360
| ~ spl32_88
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1789,f1781,f774,f2446]) ).
fof(f2446,plain,
( spl32_360
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_vectsp_2(k1_rmod_5(X1,X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_360])]) ).
fof(f774,plain,
( spl32_88
<=> ! [X0,X1] :
( v5_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).
fof(f1789,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_vectsp_2(k1_rmod_5(X1,X0,X2),X1) )
| ~ spl32_88
| ~ spl32_254 ),
inference(resolution,[],[f1782,f775]) ).
fof(f775,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v5_vectsp_2(X1,X0) )
| ~ spl32_88 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f2444,plain,
( spl32_359
| ~ spl32_144
| ~ spl32_218 ),
inference(avatar_split_clause,[],[f1562,f1547,f1096,f2442]) ).
fof(f1562,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_144
| ~ spl32_218 ),
inference(resolution,[],[f1548,f1097]) ).
fof(f2383,plain,
( spl32_358
| ~ spl32_73
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1788,f1781,f706,f2381]) ).
fof(f2381,plain,
( spl32_358
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v6_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_358])]) ).
fof(f706,plain,
( spl32_73
<=> ! [X0,X1] :
( v6_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
fof(f1788,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v6_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl32_73
| ~ spl32_254 ),
inference(resolution,[],[f1782,f707]) ).
fof(f707,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v6_rlvect_1(X1) )
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f2379,plain,
( spl32_357
| ~ spl32_72
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1787,f1781,f702,f2377]) ).
fof(f2377,plain,
( spl32_357
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_357])]) ).
fof(f702,plain,
( spl32_72
<=> ! [X0,X1] :
( v5_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
fof(f1787,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl32_72
| ~ spl32_254 ),
inference(resolution,[],[f1782,f703]) ).
fof(f703,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v5_rlvect_1(X1) )
| ~ spl32_72 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f2375,plain,
( spl32_356
| ~ spl32_71
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1786,f1781,f697,f2373]) ).
fof(f2373,plain,
( spl32_356
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v4_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_356])]) ).
fof(f697,plain,
( spl32_71
<=> ! [X0,X1] :
( v4_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_71])]) ).
fof(f1786,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v4_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl32_71
| ~ spl32_254 ),
inference(resolution,[],[f1782,f698]) ).
fof(f698,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v4_rlvect_1(X1) )
| ~ spl32_71 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f2371,plain,
( spl32_355
| ~ spl32_70
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1785,f1781,f693,f2369]) ).
fof(f2369,plain,
( spl32_355
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_355])]) ).
fof(f693,plain,
( spl32_70
<=> ! [X0,X1] :
( v3_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).
fof(f1785,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl32_70
| ~ spl32_254 ),
inference(resolution,[],[f1782,f694]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v3_rlvect_1(X1) )
| ~ spl32_70 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f2367,plain,
( spl32_354
| ~ spl32_69
| ~ spl32_254 ),
inference(avatar_split_clause,[],[f1784,f1781,f689,f2365]) ).
fof(f2365,plain,
( spl32_354
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_struct_0(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_354])]) ).
fof(f689,plain,
( spl32_69
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).
fof(f1784,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_struct_0(k1_rmod_5(X1,X0,X2)) )
| ~ spl32_69
| ~ spl32_254 ),
inference(resolution,[],[f1782,f690]) ).
fof(f690,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| ~ v3_struct_0(X1) )
| ~ spl32_69 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f2363,plain,
( spl32_353
| ~ spl32_144
| ~ spl32_188 ),
inference(avatar_split_clause,[],[f1390,f1378,f1096,f2361]) ).
fof(f2361,plain,
( spl32_353
<=> ! [X0,X3,X2,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_353])]) ).
fof(f1390,plain,
( ! [X2,X3,X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_144
| ~ spl32_188 ),
inference(resolution,[],[f1379,f1097]) ).
fof(f2350,plain,
( spl32_352
| ~ spl32_142
| ~ spl32_218 ),
inference(avatar_split_clause,[],[f1564,f1547,f1079,f2348]) ).
fof(f1564,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_142
| ~ spl32_218 ),
inference(resolution,[],[f1548,f1080]) ).
fof(f2346,plain,
( spl32_351
| ~ spl32_143
| ~ spl32_218 ),
inference(avatar_split_clause,[],[f1563,f1547,f1083,f2344]) ).
fof(f1563,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_143
| ~ spl32_218 ),
inference(resolution,[],[f1548,f1084]) ).
fof(f2342,plain,
( spl32_350
| ~ spl32_142
| ~ spl32_188 ),
inference(avatar_split_clause,[],[f1392,f1378,f1079,f2340]) ).
fof(f2340,plain,
( spl32_350
<=> ! [X0,X3,X2,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_350])]) ).
fof(f1392,plain,
( ! [X2,X3,X0,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_142
| ~ spl32_188 ),
inference(resolution,[],[f1379,f1080]) ).
fof(f2338,plain,
( spl32_349
| ~ spl32_143
| ~ spl32_188 ),
inference(avatar_split_clause,[],[f1391,f1378,f1083,f2336]) ).
fof(f2336,plain,
( spl32_349
<=> ! [X0,X3,X2,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_349])]) ).
fof(f1391,plain,
( ! [X2,X3,X0,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_143
| ~ spl32_188 ),
inference(resolution,[],[f1379,f1084]) ).
fof(f2328,plain,
( spl32_348
| ~ spl32_89
| ~ spl32_243 ),
inference(avatar_split_clause,[],[f1724,f1715,f778,f2326]) ).
fof(f2326,plain,
( spl32_348
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ sP3(X1,X0)
| l1_vectsp_2(sK18(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_348])]) ).
fof(f1715,plain,
( spl32_243
<=> ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_243])]) ).
fof(f1724,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ sP3(X1,X0)
| l1_vectsp_2(sK18(X1,X0),X1) )
| ~ spl32_89
| ~ spl32_243 ),
inference(resolution,[],[f1716,f779]) ).
fof(f1716,plain,
( ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP3(X0,X1) )
| ~ spl32_243 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f2310,plain,
( spl32_347
| ~ spl32_46
| ~ spl32_266 ),
inference(avatar_split_clause,[],[f1859,f1846,f584,f2307]) ).
fof(f2307,plain,
( spl32_347
<=> l1_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_347])]) ).
fof(f584,plain,
( spl32_46
<=> ! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
fof(f1846,plain,
( spl32_266
<=> l1_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_266])]) ).
fof(f1859,plain,
( l1_group_1(sK25)
| ~ spl32_46
| ~ spl32_266 ),
inference(resolution,[],[f1848,f585]) ).
fof(f585,plain,
( ! [X0] :
( ~ l1_vectsp_1(X0)
| l1_group_1(X0) )
| ~ spl32_46 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f1848,plain,
( l1_vectsp_1(sK25)
| ~ spl32_266 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f2305,plain,
( spl32_346
| ~ spl32_85
| ~ spl32_249 ),
inference(avatar_split_clause,[],[f1751,f1747,f762,f2303]) ).
fof(f2303,plain,
( spl32_346
<=> ! [X0] :
( sP3(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_346])]) ).
fof(f1747,plain,
( spl32_249
<=> ! [X0] :
( sP3(X0,sK14(X0))
| ~ v5_vectsp_2(sK14(X0),X0)
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_249])]) ).
fof(f1751,plain,
( ! [X0] :
( sP3(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_85
| ~ spl32_249 ),
inference(duplicate_literal_removal,[],[f1750]) ).
fof(f1750,plain,
( ! [X0] :
( sP3(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl32_85
| ~ spl32_249 ),
inference(resolution,[],[f1748,f763]) ).
fof(f1748,plain,
( ! [X0] :
( ~ v5_vectsp_2(sK14(X0),X0)
| sP3(X0,sK14(X0))
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_249 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f2301,plain,
( spl32_345
| ~ spl32_89
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1712,f1696,f778,f2299]) ).
fof(f2299,plain,
( spl32_345
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| l1_vectsp_2(k2_rmod_2(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_345])]) ).
fof(f1696,plain,
( spl32_242
<=> ! [X0,X1] :
( sP2(X0,k2_rmod_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_242])]) ).
fof(f1712,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| l1_vectsp_2(k2_rmod_2(X1,X0),X1) )
| ~ spl32_89
| ~ spl32_242 ),
inference(resolution,[],[f1697,f779]) ).
fof(f1697,plain,
( ! [X0,X1] :
( sP2(X0,k2_rmod_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_242 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f2297,plain,
( spl32_344
| ~ spl32_88
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1711,f1696,f774,f2295]) ).
fof(f2295,plain,
( spl32_344
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_vectsp_2(k2_rmod_2(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_344])]) ).
fof(f1711,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_vectsp_2(k2_rmod_2(X1,X0),X1) )
| ~ spl32_88
| ~ spl32_242 ),
inference(resolution,[],[f1697,f775]) ).
fof(f2293,plain,
( spl32_343
| ~ spl32_89
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1705,f1692,f778,f2291]) ).
fof(f2291,plain,
( spl32_343
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| l1_vectsp_2(sK17(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_343])]) ).
fof(f1692,plain,
( spl32_241
<=> ! [X0,X1] :
( sP2(X0,sK17(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_241])]) ).
fof(f1705,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| l1_vectsp_2(sK17(X1,X0),X1) )
| ~ spl32_89
| ~ spl32_241 ),
inference(resolution,[],[f1693,f779]) ).
fof(f1693,plain,
( ! [X0,X1] :
( sP2(X0,sK17(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_241 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f2289,plain,
( spl32_342
| ~ spl32_88
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1704,f1692,f774,f2287]) ).
fof(f2287,plain,
( spl32_342
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_vectsp_2(sK17(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_342])]) ).
fof(f1704,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_vectsp_2(sK17(X1,X0),X1) )
| ~ spl32_88
| ~ spl32_241 ),
inference(resolution,[],[f1693,f775]) ).
fof(f2281,plain,
( ~ spl32_98
| ~ spl32_21
| ~ spl32_171
| spl32_325 ),
inference(avatar_split_clause,[],[f2197,f2184,f1262,f465,f816]) ).
fof(f1262,plain,
( spl32_171
<=> ! [X0] :
( v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_171])]) ).
fof(f2197,plain,
( ~ l1_vectsp_2(sK6,sK5)
| ~ l1_struct_0(sK5)
| ~ spl32_171
| spl32_325 ),
inference(resolution,[],[f2186,f1263]) ).
fof(f1263,plain,
( ! [X0] :
( v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_171 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f2186,plain,
( ~ v1_funct_2(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| spl32_325 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2277,plain,
( spl32_341
| ~ spl32_73
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1710,f1696,f706,f2275]) ).
fof(f2275,plain,
( spl32_341
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v6_rlvect_1(k2_rmod_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_341])]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v6_rlvect_1(k2_rmod_2(X1,X0)) )
| ~ spl32_73
| ~ spl32_242 ),
inference(resolution,[],[f1697,f707]) ).
fof(f2268,plain,
( ~ spl32_21
| ~ spl32_98
| ~ spl32_274
| spl32_326 ),
inference(avatar_split_clause,[],[f2199,f2188,f1890,f816,f465]) ).
fof(f2199,plain,
( ~ l1_struct_0(sK5)
| ~ l1_vectsp_2(sK6,sK5)
| ~ spl32_274
| spl32_326 ),
inference(resolution,[],[f2190,f1891]) ).
fof(f2190,plain,
( ~ m1_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| spl32_326 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2267,plain,
( spl32_340
| ~ spl32_72
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1709,f1696,f702,f2265]) ).
fof(f2265,plain,
( spl32_340
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_rlvect_1(k2_rmod_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_340])]) ).
fof(f1709,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_rlvect_1(k2_rmod_2(X1,X0)) )
| ~ spl32_72
| ~ spl32_242 ),
inference(resolution,[],[f1697,f703]) ).
fof(f2263,plain,
( spl32_339
| ~ spl32_71
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1708,f1696,f697,f2261]) ).
fof(f2261,plain,
( spl32_339
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v4_rlvect_1(k2_rmod_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_339])]) ).
fof(f1708,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v4_rlvect_1(k2_rmod_2(X1,X0)) )
| ~ spl32_71
| ~ spl32_242 ),
inference(resolution,[],[f1697,f698]) ).
fof(f2259,plain,
( spl32_338
| ~ spl32_70
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1707,f1696,f693,f2257]) ).
fof(f2257,plain,
( spl32_338
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v3_rlvect_1(k2_rmod_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_338])]) ).
fof(f1707,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v3_rlvect_1(k2_rmod_2(X1,X0)) )
| ~ spl32_70
| ~ spl32_242 ),
inference(resolution,[],[f1697,f694]) ).
fof(f2255,plain,
( spl32_337
| ~ spl32_69
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1706,f1696,f689,f2253]) ).
fof(f2253,plain,
( spl32_337
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k2_rmod_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_337])]) ).
fof(f1706,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k2_rmod_2(X1,X0)) )
| ~ spl32_69
| ~ spl32_242 ),
inference(resolution,[],[f1697,f690]) ).
fof(f2251,plain,
( spl32_336
| ~ spl32_73
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1703,f1692,f706,f2249]) ).
fof(f2249,plain,
( spl32_336
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v6_rlvect_1(sK17(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_336])]) ).
fof(f1703,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v6_rlvect_1(sK17(X1,X0)) )
| ~ spl32_73
| ~ spl32_241 ),
inference(resolution,[],[f1693,f707]) ).
fof(f2247,plain,
( spl32_335
| ~ spl32_72
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1702,f1692,f702,f2245]) ).
fof(f2245,plain,
( spl32_335
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_rlvect_1(sK17(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_335])]) ).
fof(f1702,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_rlvect_1(sK17(X1,X0)) )
| ~ spl32_72
| ~ spl32_241 ),
inference(resolution,[],[f1693,f703]) ).
fof(f2243,plain,
( spl32_334
| ~ spl32_71
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1701,f1692,f697,f2241]) ).
fof(f2241,plain,
( spl32_334
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v4_rlvect_1(sK17(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_334])]) ).
fof(f1701,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v4_rlvect_1(sK17(X1,X0)) )
| ~ spl32_71
| ~ spl32_241 ),
inference(resolution,[],[f1693,f698]) ).
fof(f2239,plain,
( spl32_333
| ~ spl32_70
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1700,f1692,f693,f2237]) ).
fof(f2237,plain,
( spl32_333
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v3_rlvect_1(sK17(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_333])]) ).
fof(f1700,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v3_rlvect_1(sK17(X1,X0)) )
| ~ spl32_70
| ~ spl32_241 ),
inference(resolution,[],[f1693,f694]) ).
fof(f2235,plain,
( spl32_332
| ~ spl32_69
| ~ spl32_241 ),
inference(avatar_split_clause,[],[f1699,f1692,f689,f2233]) ).
fof(f2233,plain,
( spl32_332
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(sK17(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_332])]) ).
fof(f1699,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(sK17(X1,X0)) )
| ~ spl32_69
| ~ spl32_241 ),
inference(resolution,[],[f1693,f690]) ).
fof(f2231,plain,
( ~ spl32_98
| ~ spl32_21
| ~ spl32_115
| spl32_324 ),
inference(avatar_split_clause,[],[f2196,f2180,f913,f465,f816]) ).
fof(f913,plain,
( spl32_115
<=> ! [X0,X1] :
( v1_funct_1(u1_vectsp_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).
fof(f2196,plain,
( ~ l1_vectsp_2(sK6,sK5)
| ~ l1_struct_0(sK5)
| ~ spl32_115
| spl32_324 ),
inference(resolution,[],[f2182,f914]) ).
fof(f914,plain,
( ! [X0,X1] :
( v1_funct_1(u1_vectsp_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_115 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f2182,plain,
( ~ v1_funct_1(u1_vectsp_2(sK5,sK6))
| spl32_324 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2228,plain,
( spl32_331
| ~ spl32_84
| ~ spl32_240 ),
inference(avatar_split_clause,[],[f1687,f1681,f758,f2226]) ).
fof(f758,plain,
( spl32_84
<=> ! [X0] :
( v3_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
fof(f1681,plain,
( spl32_240
<=> ! [X0] :
( ~ v3_vectsp_2(sK14(X0),X0)
| sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_240])]) ).
fof(f1687,plain,
( ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_84
| ~ spl32_240 ),
inference(duplicate_literal_removal,[],[f1686]) ).
fof(f1686,plain,
( ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl32_84
| ~ spl32_240 ),
inference(resolution,[],[f1682,f759]) ).
fof(f759,plain,
( ! [X0] :
( v3_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) )
| ~ spl32_84 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f1682,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK14(X0),X0)
| sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_240 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f2224,plain,
( spl32_330
| ~ spl32_81
| ~ spl32_239 ),
inference(avatar_split_clause,[],[f1685,f1677,f745,f2222]) ).
fof(f745,plain,
( spl32_81
<=> ! [X0] :
( v3_vectsp_2(sK13(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_81])]) ).
fof(f1677,plain,
( spl32_239
<=> ! [X0] :
( ~ v3_vectsp_2(sK13(X0),X0)
| sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_239])]) ).
fof(f1685,plain,
( ! [X0] :
( sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_81
| ~ spl32_239 ),
inference(duplicate_literal_removal,[],[f1684]) ).
fof(f1684,plain,
( ! [X0] :
( sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0)
| ~ sP0(X0) )
| ~ spl32_81
| ~ spl32_239 ),
inference(resolution,[],[f1678,f746]) ).
fof(f746,plain,
( ! [X0] :
( v3_vectsp_2(sK13(X0),X0)
| ~ sP0(X0) )
| ~ spl32_81 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f1678,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK13(X0),X0)
| sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_239 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f2207,plain,
( spl32_329
| ~ spl32_79
| ~ spl32_236 ),
inference(avatar_split_clause,[],[f1675,f1663,f737,f2205]) ).
fof(f2205,plain,
( spl32_329
<=> ! [X0] :
( sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_329])]) ).
fof(f737,plain,
( spl32_79
<=> ! [X0] :
( v3_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).
fof(f1663,plain,
( spl32_236
<=> ! [X0] :
( ~ v3_vectsp_2(sK11(X0),X0)
| sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_236])]) ).
fof(f1675,plain,
( ! [X0] :
( sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0) )
| ~ spl32_79
| ~ spl32_236 ),
inference(duplicate_literal_removal,[],[f1674]) ).
fof(f1674,plain,
( ! [X0] :
( sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_79
| ~ spl32_236 ),
inference(resolution,[],[f1664,f738]) ).
fof(f738,plain,
( ! [X0] :
( v3_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl32_79 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f1664,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK11(X0),X0)
| sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0) )
| ~ spl32_236 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f2203,plain,
( spl32_328
| ~ spl32_132
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1556,f1539,f1012,f2201]) ).
fof(f2201,plain,
( spl32_328
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)),u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_328])]) ).
fof(f1012,plain,
( spl32_132
<=> ! [X0,X1] :
( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_132])]) ).
fof(f1556,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)),u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ l1_struct_0(X1) )
| ~ spl32_132
| ~ spl32_216 ),
inference(resolution,[],[f1540,f1013]) ).
fof(f1013,plain,
( ! [X0,X1] :
( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_132 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f2198,plain,
( ~ spl32_117
| ~ spl32_54
| spl32_323 ),
inference(avatar_split_clause,[],[f2195,f2176,f628,f929]) ).
fof(f628,plain,
( spl32_54
<=> ! [X0] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f2195,plain,
( ~ l1_rlvect_1(sK6)
| ~ spl32_54
| spl32_323 ),
inference(resolution,[],[f2178,f629]) ).
fof(f629,plain,
( ! [X0] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) )
| ~ spl32_54 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f2178,plain,
( ~ v1_funct_1(u1_rlvect_1(sK6))
| spl32_323 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f2194,plain,
( ~ spl32_98
| ~ spl32_323
| ~ spl32_168
| ~ spl32_235
| ~ spl32_151
| ~ spl32_324
| ~ spl32_325
| ~ spl32_326
| spl32_327
| ~ spl32_148
| ~ spl32_177 ),
inference(avatar_split_clause,[],[f1300,f1295,f1123,f2192,f2188,f2184,f2180,f1141,f1657,f1245,f2176,f816]) ).
fof(f1141,plain,
( spl32_151
<=> m1_subset_1(u2_struct_0(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_151])]) ).
fof(f1123,plain,
( spl32_148
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_148])]) ).
fof(f1300,plain,
( ! [X2,X3,X0,X1,X4] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != sK6
| sP4(X4,u1_vectsp_2(sK5,sK6),X3,u2_struct_0(sK6),X2,u1_rlvect_1(sK6),X1,sK7,X0,sK5)
| ~ m1_relset_1(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ v1_funct_2(u1_vectsp_2(sK5,sK6),k2_zfmisc_1(sK7,u1_struct_0(sK5)),sK7)
| ~ v1_funct_1(u1_vectsp_2(sK5,sK6))
| ~ m1_subset_1(u2_struct_0(sK6),sK7)
| ~ m1_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ v1_funct_1(u1_rlvect_1(sK6))
| ~ l1_struct_0(sK5) )
| ~ spl32_148
| ~ spl32_177 ),
inference(superposition,[],[f1124,f1297]) ).
fof(f1124,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9)
| sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_148 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f2172,plain,
( spl32_322
| ~ spl32_124
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1554,f1539,f976,f2170]) ).
fof(f2170,plain,
( spl32_322
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_rlvect_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_rlvect_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_322])]) ).
fof(f976,plain,
( spl32_124
<=> ! [X0] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_124])]) ).
fof(f1554,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_rlvect_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_rlvect_1(X1) )
| ~ spl32_124
| ~ spl32_216 ),
inference(resolution,[],[f1540,f977]) ).
fof(f977,plain,
( ! [X0] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) )
| ~ spl32_124 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f2167,plain,
( spl32_321
| ~ spl32_104
| ~ spl32_223 ),
inference(avatar_split_clause,[],[f1607,f1604,f841,f2165]) ).
fof(f2165,plain,
( spl32_321
<=> ! [X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(sK6,X0,X1)
| ~ v3_vectsp_2(sK6,X0)
| sK6 = k1_rmod_5(X0,X1,sK7)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(sK7,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_321])]) ).
fof(f841,plain,
( spl32_104
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_104])]) ).
fof(f1604,plain,
( spl32_223
<=> ! [X0,X1] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ m1_rmod_2(sK6,X1,X0)
| ~ v3_vectsp_2(sK6,X1)
| sK6 = k1_rmod_5(X1,X0,sK7)
| ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_223])]) ).
fof(f1607,plain,
( ! [X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(sK6,X0,X1)
| ~ v3_vectsp_2(sK6,X0)
| sK6 = k1_rmod_5(X0,X1,sK7)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(sK7,u1_struct_0(X1)) )
| ~ spl32_104
| ~ spl32_223 ),
inference(resolution,[],[f1605,f842]) ).
fof(f842,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl32_104 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f1605,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ m1_rmod_2(sK6,X1,X0)
| ~ v3_vectsp_2(sK6,X1)
| sK6 = k1_rmod_5(X1,X0,sK7)
| ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ spl32_223 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f2161,plain,
( spl32_320
| ~ spl32_86
| ~ spl32_221 ),
inference(avatar_split_clause,[],[f1587,f1582,f766,f2159]) ).
fof(f2159,plain,
( spl32_320
<=> ! [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,[spl32_320])]) ).
fof(f1582,plain,
( spl32_221
<=> ! [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,[spl32_221])]) ).
fof(f1587,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) )
| ~ spl32_86
| ~ spl32_221 ),
inference(resolution,[],[f1583,f767]) ).
fof(f1583,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) )
| ~ spl32_221 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f2157,plain,
( spl32_319
| ~ spl32_50
| ~ spl32_265 ),
inference(avatar_split_clause,[],[f1856,f1841,f600,f2154]) ).
fof(f2154,plain,
( spl32_319
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_319])]) ).
fof(f1841,plain,
( spl32_265
<=> l2_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_265])]) ).
fof(f1856,plain,
( l1_struct_0(sK25)
| ~ spl32_50
| ~ spl32_265 ),
inference(resolution,[],[f1843,f601]) ).
fof(f1843,plain,
( l2_struct_0(sK25)
| ~ spl32_265 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f2150,plain,
( spl32_318
| ~ spl32_148
| ~ spl32_177 ),
inference(avatar_split_clause,[],[f1299,f1295,f1123,f2148]) ).
fof(f2148,plain,
( spl32_318
<=> ! [X4,X0,X3,X2,X1] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != sK6
| sP4(u1_vectsp_2(sK5,sK6),X4,u2_struct_0(sK6),X3,u1_rlvect_1(sK6),X2,sK7,X1,sK5,X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_318])]) ).
fof(f1299,plain,
( ! [X2,X3,X0,X1,X4] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != sK6
| sP4(u1_vectsp_2(sK5,sK6),X4,u2_struct_0(sK6),X3,u1_rlvect_1(sK6),X2,sK7,X1,sK5,X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_148
| ~ spl32_177 ),
inference(superposition,[],[f1124,f1297]) ).
fof(f2145,plain,
( spl32_317
| ~ spl32_86
| ~ spl32_219 ),
inference(avatar_split_clause,[],[f1579,f1570,f766,f2143]) ).
fof(f2143,plain,
( spl32_317
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_317])]) ).
fof(f1570,plain,
( spl32_219
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_219])]) ).
fof(f1579,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK12(X0)) )
| ~ spl32_86
| ~ spl32_219 ),
inference(resolution,[],[f1571,f767]) ).
fof(f1571,plain,
( ! [X0] :
( r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl32_219 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f2140,plain,
( spl32_316
| ~ spl32_104
| ~ spl32_224 ),
inference(avatar_split_clause,[],[f1613,f1610,f841,f2138]) ).
fof(f2138,plain,
( spl32_316
<=> ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_vectsp_2(sK6,X0)
| ~ l1_vectsp_2(sK6,X0)
| k1_rmod_5(X0,sK6,u1_struct_0(X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ m1_rmod_2(X1,X0,sK6)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ r1_tarski(u1_struct_0(X1),sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_316])]) ).
fof(f1610,plain,
( spl32_224
<=> ! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK7))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(sK6,X1)
| ~ l1_vectsp_2(sK6,X1)
| k1_rmod_5(X1,sK6,u1_struct_0(X0)) = X0
| ~ v3_vectsp_2(X0,X1)
| ~ m1_rmod_2(X0,X1,sK6)
| k1_rlvect_1(X1) = k2_group_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_224])]) ).
fof(f1613,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_vectsp_2(sK6,X0)
| ~ l1_vectsp_2(sK6,X0)
| k1_rmod_5(X0,sK6,u1_struct_0(X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ m1_rmod_2(X1,X0,sK6)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ r1_tarski(u1_struct_0(X1),sK7) )
| ~ spl32_104
| ~ spl32_224 ),
inference(resolution,[],[f1611,f842]) ).
fof(f1611,plain,
( ! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK7))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(sK6,X1)
| ~ l1_vectsp_2(sK6,X1)
| k1_rmod_5(X1,sK6,u1_struct_0(X0)) = X0
| ~ v3_vectsp_2(X0,X1)
| ~ m1_rmod_2(X0,X1,sK6)
| k1_rlvect_1(X1) = k2_group_1(X1) )
| ~ spl32_224 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f2135,plain,
( spl32_315
| ~ spl32_23
| ~ spl32_22
| ~ spl32_224 ),
inference(avatar_split_clause,[],[f1614,f1610,f470,f475,f2133]) ).
fof(f475,plain,
( spl32_23
<=> m1_subset_1(sK7,k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f1614,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(sK7))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_vectsp_2(sK6,X0)
| ~ l1_vectsp_2(sK6,X0)
| sK6 = k1_rmod_5(X0,sK6,sK7)
| ~ v3_vectsp_2(sK6,X0)
| ~ m1_rmod_2(sK6,X0,sK6)
| k1_rlvect_1(X0) = k2_group_1(X0) )
| ~ spl32_22
| ~ spl32_224 ),
inference(superposition,[],[f1611,f472]) ).
fof(f2125,plain,
( spl32_314
| ~ spl32_209
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f1596,f1589,f1502,f2123]) ).
fof(f1596,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ v1_funct_2(u1_vectsp_2(X0,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) )
| ~ spl32_209
| ~ spl32_222 ),
inference(resolution,[],[f1590,f1503]) ).
fof(f2121,plain,
( spl32_313
| ~ spl32_210
| ~ spl32_222 ),
inference(avatar_split_clause,[],[f1595,f1589,f1508,f2119]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X0,X0)
| ~ v1_funct_1(u1_vectsp_2(X0,X0))
| ~ v1_funct_2(u1_vectsp_2(X0,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_vectsp_2(X0,X0),X2,X1),sK6) )
| ~ spl32_210
| ~ spl32_222 ),
inference(resolution,[],[f1590,f1509]) ).
fof(f2115,plain,
( spl32_312
| ~ spl32_187
| ~ spl32_217 ),
inference(avatar_split_clause,[],[f1561,f1543,f1374,f2113]) ).
fof(f2113,plain,
( spl32_312
<=> ! [X0] :
( m1_subset_1(sK15(sK12(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_312])]) ).
fof(f1374,plain,
( spl32_187
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK15(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_187])]) ).
fof(f1543,plain,
( spl32_217
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK12(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_217])]) ).
fof(f1561,plain,
( ! [X0] :
( m1_subset_1(sK15(sK12(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK12(X0)) )
| ~ spl32_187
| ~ spl32_217 ),
inference(resolution,[],[f1544,f1375]) ).
fof(f1375,plain,
( ! [X0] :
( r2_hidden(sK15(X0),X0)
| v1_xboole_0(X0) )
| ~ spl32_187 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1544,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK12(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl32_217 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f2110,plain,
( spl32_311
| ~ spl32_86
| ~ spl32_215 ),
inference(avatar_split_clause,[],[f1552,f1535,f766,f2108]) ).
fof(f2108,plain,
( spl32_311
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ r2_hidden(u1_struct_0(X0),k2_group_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_311])]) ).
fof(f1535,plain,
( spl32_215
<=> ! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k2_group_1(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_215])]) ).
fof(f1552,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ r2_hidden(u1_struct_0(X0),k2_group_1(X0)) )
| ~ spl32_86
| ~ spl32_215 ),
inference(resolution,[],[f1536,f767]) ).
fof(f1536,plain,
( ! [X0] :
( r2_hidden(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl32_215 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f2106,plain,
( ~ spl32_140
| spl32_310
| ~ spl32_22
| ~ spl32_253 ),
inference(avatar_split_clause,[],[f1779,f1776,f470,f2104,f1070]) ).
fof(f2104,plain,
( spl32_310
<=> ! [X2,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X0,sK7),X0),k2_zfmisc_1(X0,sK7),X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,sK7),X0))
| ~ v3_struct_0(g1_vectsp_2(sK6,X0,X1,X2,sK19(k2_zfmisc_1(X0,sK7),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_310])]) ).
fof(f1776,plain,
( spl32_253
<=> ! [X0,X3,X2,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_253])]) ).
fof(f1779,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X0,sK7),X0),k2_zfmisc_1(X0,sK7),X0)
| ~ v3_struct_0(g1_vectsp_2(sK6,X0,X1,X2,sK19(k2_zfmisc_1(X0,sK7),X0)))
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,sK7),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_253 ),
inference(superposition,[],[f1777,f472]) ).
fof(f1777,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_253 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f2096,plain,
( ~ spl32_309
| ~ spl32_86
| ~ spl32_299 ),
inference(avatar_split_clause,[],[f2075,f2041,f766,f2093]) ).
fof(f2093,plain,
( spl32_309
<=> r2_hidden(sK7,sK15(sK12(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_309])]) ).
fof(f2041,plain,
( spl32_299
<=> r2_hidden(sK15(sK12(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_299])]) ).
fof(f2075,plain,
( ~ r2_hidden(sK7,sK15(sK12(sK6)))
| ~ spl32_86
| ~ spl32_299 ),
inference(resolution,[],[f2043,f767]) ).
fof(f2043,plain,
( r2_hidden(sK15(sK12(sK6)),sK7)
| ~ spl32_299 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2091,plain,
( ~ spl32_140
| spl32_308
| ~ spl32_22
| ~ spl32_252 ),
inference(avatar_split_clause,[],[f1774,f1767,f470,f2089,f1070]) ).
fof(f2089,plain,
( spl32_308
<=> ! [X2,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X0,sK7),X0),k2_zfmisc_1(X0,sK7),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,sK7),X0))
| l1_vectsp_2(g1_vectsp_2(sK6,X0,X1,X2,sK19(k2_zfmisc_1(X0,sK7),X0)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_308])]) ).
fof(f1767,plain,
( spl32_252
<=> ! [X0,X3,X2,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_252])]) ).
fof(f1774,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X0,sK7),X0),k2_zfmisc_1(X0,sK7),X0)
| l1_vectsp_2(g1_vectsp_2(sK6,X0,X1,X2,sK19(k2_zfmisc_1(X0,sK7),X0)),sK6)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,sK7),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_252 ),
inference(superposition,[],[f1768,f472]) ).
fof(f1768,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_252 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f2087,plain,
( ~ spl32_140
| spl32_307
| ~ spl32_22
| ~ spl32_251 ),
inference(avatar_split_clause,[],[f1773,f1763,f470,f2085,f1070]) ).
fof(f2085,plain,
( spl32_307
<=> ! [X2,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X0,sK7),X0),k2_zfmisc_1(X0,sK7),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,sK7),X0))
| v3_vectsp_2(g1_vectsp_2(sK6,X0,X1,X2,sK19(k2_zfmisc_1(X0,sK7),X0)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_307])]) ).
fof(f1763,plain,
( spl32_251
<=> ! [X0,X3,X2,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_251])]) ).
fof(f1773,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X0,sK7),X0),k2_zfmisc_1(X0,sK7),X0)
| v3_vectsp_2(g1_vectsp_2(sK6,X0,X1,X2,sK19(k2_zfmisc_1(X0,sK7),X0)),sK6)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X0,sK7),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_251 ),
inference(superposition,[],[f1764,f472]) ).
fof(f1764,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_251 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f2083,plain,
( spl32_306
| ~ spl32_209
| ~ spl32_218 ),
inference(avatar_split_clause,[],[f1566,f1547,f1502,f2081]) ).
fof(f1566,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| v3_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) )
| ~ spl32_209
| ~ spl32_218 ),
inference(resolution,[],[f1548,f1503]) ).
fof(f2079,plain,
( spl32_305
| ~ spl32_210
| ~ spl32_218 ),
inference(avatar_split_clause,[],[f1565,f1547,f1508,f2077]) ).
fof(f1565,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| l1_vectsp_2(g1_vectsp_2(sK6,u1_struct_0(X0),u1_rlvect_1(X0),X2,X1),sK6) )
| ~ spl32_210
| ~ spl32_218 ),
inference(resolution,[],[f1548,f1509]) ).
fof(f2072,plain,
( spl32_304
| ~ spl32_188
| ~ spl32_210 ),
inference(avatar_split_clause,[],[f1512,f1508,f1378,f2070]) ).
fof(f2070,plain,
( spl32_304
<=> ! [X2,X0,X1] :
( ~ v1_funct_1(sK20(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| l1_vectsp_2(g1_vectsp_2(sK6,X0,sK20(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_304])]) ).
fof(f1512,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(sK20(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| l1_vectsp_2(g1_vectsp_2(sK6,X0,sK20(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) )
| ~ spl32_188
| ~ spl32_210 ),
inference(resolution,[],[f1509,f1379]) ).
fof(f2068,plain,
( spl32_303
| ~ spl32_90
| ~ spl32_210 ),
inference(avatar_split_clause,[],[f1511,f1508,f782,f2066]) ).
fof(f2066,plain,
( spl32_303
<=> ! [X2,X0,X1] :
( ~ v1_funct_1(sK19(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK19(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| l1_vectsp_2(g1_vectsp_2(sK6,X0,sK19(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_303])]) ).
fof(f1511,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(sK19(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK19(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| l1_vectsp_2(g1_vectsp_2(sK6,X0,sK19(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) )
| ~ spl32_90
| ~ spl32_210 ),
inference(resolution,[],[f1509,f783]) ).
fof(f2064,plain,
( spl32_302
| ~ spl32_188
| ~ spl32_209 ),
inference(avatar_split_clause,[],[f1506,f1502,f1378,f2062]) ).
fof(f2062,plain,
( spl32_302
<=> ! [X2,X0,X1] :
( ~ v1_funct_1(sK20(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| v3_vectsp_2(g1_vectsp_2(sK6,X0,sK20(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_302])]) ).
fof(f1506,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(sK20(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| v3_vectsp_2(g1_vectsp_2(sK6,X0,sK20(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) )
| ~ spl32_188
| ~ spl32_209 ),
inference(resolution,[],[f1503,f1379]) ).
fof(f2060,plain,
( spl32_301
| ~ spl32_90
| ~ spl32_209 ),
inference(avatar_split_clause,[],[f1505,f1502,f782,f2058]) ).
fof(f2058,plain,
( spl32_301
<=> ! [X2,X0,X1] :
( ~ v1_funct_1(sK19(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK19(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| v3_vectsp_2(g1_vectsp_2(sK6,X0,sK19(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_301])]) ).
fof(f1505,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_1(sK19(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK19(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,sK7),X0)
| ~ m1_subset_1(X2,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,sK7),X0)
| v3_vectsp_2(g1_vectsp_2(sK6,X0,sK19(k2_zfmisc_1(X0,X0),X0),X2,X1),sK6) )
| ~ spl32_90
| ~ spl32_209 ),
inference(resolution,[],[f1503,f783]) ).
fof(f2051,plain,
( ~ spl32_140
| spl32_300
| ~ spl32_22
| ~ spl32_250 ),
inference(avatar_split_clause,[],[f1760,f1753,f470,f2049,f1070]) ).
fof(f1760,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| sP4(X0,X0,X2,X2,X3,X3,X1,X1,sK6,sK6)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_250 ),
inference(superposition,[],[f1754,f472]) ).
fof(f2044,plain,
( spl32_299
| spl32_152
| ~ spl32_107
| ~ spl32_269 ),
inference(avatar_split_clause,[],[f2005,f1865,f870,f1147,f2041]) ).
fof(f1865,plain,
( spl32_269
<=> m1_subset_1(sK15(sK12(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_269])]) ).
fof(f2005,plain,
( v1_xboole_0(sK7)
| r2_hidden(sK15(sK12(sK6)),sK7)
| ~ spl32_107
| ~ spl32_269 ),
inference(resolution,[],[f1867,f871]) ).
fof(f1867,plain,
( m1_subset_1(sK15(sK12(sK6)),sK7)
| ~ spl32_269 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f2029,plain,
( spl32_298
| ~ spl32_91
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1560,f1539,f786,f2027]) ).
fof(f2027,plain,
( spl32_298
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_298])]) ).
fof(f786,plain,
( spl32_91
<=> ! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_91])]) ).
fof(f1560,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl32_91
| ~ spl32_216 ),
inference(resolution,[],[f1540,f787]) ).
fof(f787,plain,
( ! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1)
| ~ spl32_91 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f2025,plain,
( spl32_297
| ~ spl32_189
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1559,f1539,f1382,f2023]) ).
fof(f2023,plain,
( spl32_297
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK19(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_297])]) ).
fof(f1382,plain,
( spl32_189
<=> ! [X0,X1] : m2_relset_1(sK19(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_189])]) ).
fof(f1559,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK19(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl32_189
| ~ spl32_216 ),
inference(resolution,[],[f1540,f1383]) ).
fof(f1383,plain,
( ! [X0,X1] : m2_relset_1(sK19(X0,X1),X0,X1)
| ~ spl32_189 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f2021,plain,
( spl32_296
| ~ spl32_86
| ~ spl32_207 ),
inference(avatar_split_clause,[],[f1495,f1479,f766,f2019]) ).
fof(f2019,plain,
( spl32_296
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_296])]) ).
fof(f1479,plain,
( spl32_207
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_207])]) ).
fof(f1495,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK8(X0)) )
| ~ spl32_86
| ~ spl32_207 ),
inference(resolution,[],[f1480,f767]) ).
fof(f1480,plain,
( ! [X0] :
( r2_hidden(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl32_207 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f2017,plain,
( spl32_295
| ~ spl32_86
| ~ spl32_206 ),
inference(avatar_split_clause,[],[f1491,f1475,f766,f2015]) ).
fof(f2015,plain,
( spl32_295
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),u2_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_295])]) ).
fof(f1475,plain,
( spl32_206
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_206])]) ).
fof(f1491,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),u2_struct_0(X0)) )
| ~ spl32_86
| ~ spl32_206 ),
inference(resolution,[],[f1476,f767]) ).
fof(f1476,plain,
( ! [X0] :
( r2_hidden(u2_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl32_206 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f2013,plain,
( spl32_294
| ~ spl32_86
| ~ spl32_205 ),
inference(avatar_split_clause,[],[f1487,f1471,f766,f2011]) ).
fof(f2011,plain,
( spl32_294
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),k1_rlvect_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_294])]) ).
fof(f1471,plain,
( spl32_205
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_205])]) ).
fof(f1487,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),k1_rlvect_1(X0)) )
| ~ spl32_86
| ~ spl32_205 ),
inference(resolution,[],[f1472,f767]) ).
fof(f1472,plain,
( ! [X0] :
( r2_hidden(k1_rlvect_1(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl32_205 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f2009,plain,
( spl32_293
| ~ spl32_86
| ~ spl32_204 ),
inference(avatar_split_clause,[],[f1484,f1467,f766,f2007]) ).
fof(f2007,plain,
( spl32_293
<=> ! [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,[spl32_293])]) ).
fof(f1467,plain,
( spl32_204
<=> ! [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,[spl32_204])]) ).
fof(f1484,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl32_86
| ~ spl32_204 ),
inference(resolution,[],[f1468,f767]) ).
fof(f1468,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl32_204 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f2004,plain,
( spl32_292
| ~ spl32_187
| ~ spl32_203 ),
inference(avatar_split_clause,[],[f1465,f1458,f1374,f2002]) ).
fof(f1458,plain,
( spl32_203
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK8(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_203])]) ).
fof(f1465,plain,
( ! [X0] :
( m1_subset_1(sK15(sK8(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK8(X0)) )
| ~ spl32_187
| ~ spl32_203 ),
inference(resolution,[],[f1459,f1375]) ).
fof(f1459,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK8(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl32_203 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f2000,plain,
( spl32_291
| ~ spl32_187
| ~ spl32_200 ),
inference(avatar_split_clause,[],[f1447,f1443,f1374,f1998]) ).
fof(f1998,plain,
( spl32_291
<=> ! [X0] :
( m1_subset_1(sK15(sK15(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK15(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_291])]) ).
fof(f1443,plain,
( spl32_200
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK15(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_200])]) ).
fof(f1447,plain,
( ! [X0] :
( m1_subset_1(sK15(sK15(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK15(k1_zfmisc_1(X0))) )
| ~ spl32_187
| ~ spl32_200 ),
inference(resolution,[],[f1444,f1375]) ).
fof(f1444,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK15(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl32_200 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1995,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| ~ spl32_13
| spl32_14
| ~ spl32_15
| ~ spl32_16
| ~ spl32_17
| ~ spl32_18
| ~ spl32_20
| ~ spl32_21
| spl32_290
| ~ spl32_138
| ~ spl32_214 ),
inference(avatar_split_clause,[],[f1532,f1528,f1062,f1992,f465,f460,f450,f445,f440,f435,f430,f425,f410,f405,f400,f390,f385,f380,f375,f370,f365]) ).
fof(f430,plain,
( spl32_14
<=> v3_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f435,plain,
( spl32_15
<=> v3_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f440,plain,
( spl32_16
<=> v4_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f445,plain,
( spl32_17
<=> v5_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f450,plain,
( spl32_18
<=> v6_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f1062,plain,
( spl32_138
<=> ! [X0,X1] :
( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_138])]) ).
fof(f1528,plain,
( spl32_214
<=> sK6 = k2_rmod_2(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_214])]) ).
fof(f1532,plain,
( m1_rmod_2(sK6,sK5,sK6)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_138
| ~ spl32_214 ),
inference(superposition,[],[f1063,f1530]) ).
fof(f1530,plain,
( sK6 = k2_rmod_2(sK5,sK6)
| ~ spl32_214 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1063,plain,
( ! [X0,X1] :
( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_138 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1983,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| ~ spl32_13
| spl32_14
| ~ spl32_15
| ~ spl32_16
| ~ spl32_17
| ~ spl32_18
| ~ spl32_20
| ~ spl32_21
| spl32_289
| ~ spl32_214
| ~ spl32_242 ),
inference(avatar_split_clause,[],[f1713,f1696,f1528,f1980,f465,f460,f450,f445,f440,f435,f430,f425,f410,f405,f400,f390,f385,f380,f375,f370,f365]) ).
fof(f1980,plain,
( spl32_289
<=> sP2(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_289])]) ).
fof(f1713,plain,
( sP2(sK5,sK6)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_214
| ~ spl32_242 ),
inference(superposition,[],[f1697,f1530]) ).
fof(f1978,plain,
( spl32_285
| spl32_286
| ~ spl32_287
| ~ spl32_288
| ~ spl32_119
| ~ spl32_157 ),
inference(avatar_split_clause,[],[f1222,f1178,f938,f1975,f1971,f1967,f1963]) ).
fof(f1963,plain,
( spl32_285
<=> v8_vectsp_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_285])]) ).
fof(f1967,plain,
( spl32_286
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_286])]) ).
fof(f1971,plain,
( spl32_287
<=> v7_group_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_287])]) ).
fof(f1975,plain,
( spl32_288
<=> v6_vectsp_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_288])]) ).
fof(f938,plain,
( spl32_119
<=> ! [X0] :
( v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_119])]) ).
fof(f1178,plain,
( spl32_157
<=> l1_vectsp_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_157])]) ).
fof(f1222,plain,
( ~ v6_vectsp_1(sK22)
| ~ v7_group_1(sK22)
| v3_struct_0(sK22)
| v8_vectsp_1(sK22)
| ~ spl32_119
| ~ spl32_157 ),
inference(resolution,[],[f1180,f939]) ).
fof(f939,plain,
( ! [X0] :
( ~ l1_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| v8_vectsp_1(X0) )
| ~ spl32_119 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f1180,plain,
( l1_vectsp_1(sK22)
| ~ spl32_157 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1959,plain,
( spl32_284
| ~ spl32_49
| ~ spl32_191 ),
inference(avatar_split_clause,[],[f1411,f1399,f596,f1957]) ).
fof(f596,plain,
( spl32_49
<=> ! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).
fof(f1399,plain,
( spl32_191
<=> ! [X0] :
( l1_rlvect_1(sK14(X0))
| ~ l1_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_191])]) ).
fof(f1411,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP1(X0)
| l2_struct_0(sK14(X0)) )
| ~ spl32_49
| ~ spl32_191 ),
inference(resolution,[],[f1400,f597]) ).
fof(f597,plain,
( ! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) )
| ~ spl32_49 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f1400,plain,
( ! [X0] :
( l1_rlvect_1(sK14(X0))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_191 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1955,plain,
( spl32_283
| ~ spl32_49
| ~ spl32_190 ),
inference(avatar_split_clause,[],[f1410,f1395,f596,f1953]) ).
fof(f1395,plain,
( spl32_190
<=> ! [X0] :
( l1_rlvect_1(sK13(X0))
| ~ l1_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_190])]) ).
fof(f1410,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP0(X0)
| l2_struct_0(sK13(X0)) )
| ~ spl32_49
| ~ spl32_190 ),
inference(resolution,[],[f1396,f597]) ).
fof(f1396,plain,
( ! [X0] :
( l1_rlvect_1(sK13(X0))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_190 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1949,plain,
( spl32_282
| ~ spl32_187
| ~ spl32_193 ),
inference(avatar_split_clause,[],[f1415,f1407,f1374,f1947]) ).
fof(f1407,plain,
( spl32_193
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK15(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_193])]) ).
fof(f1415,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK15(k1_zfmisc_1(X0))) )
| ~ spl32_187
| ~ spl32_193 ),
inference(resolution,[],[f1408,f1375]) ).
fof(f1408,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK15(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl32_193 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1945,plain,
( spl32_281
| ~ spl32_86
| ~ spl32_187 ),
inference(avatar_split_clause,[],[f1387,f1374,f766,f1943]) ).
fof(f1943,plain,
( spl32_281
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_281])]) ).
fof(f1387,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK15(X0)) )
| ~ spl32_86
| ~ spl32_187 ),
inference(resolution,[],[f1375,f767]) ).
fof(f1940,plain,
( spl32_14
| ~ spl32_140
| ~ spl32_97
| ~ spl32_268 ),
inference(avatar_split_clause,[],[f1907,f1861,f812,f1070,f430]) ).
fof(f812,plain,
( spl32_97
<=> ! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_97])]) ).
fof(f1861,plain,
( spl32_268
<=> v1_xboole_0(sK12(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_268])]) ).
fof(f1907,plain,
( ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl32_97
| ~ spl32_268 ),
inference(resolution,[],[f1863,f813]) ).
fof(f813,plain,
( ! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl32_97 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f1863,plain,
( v1_xboole_0(sK12(sK6))
| ~ spl32_268 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f1937,plain,
( spl32_280
| ~ spl32_49
| ~ spl32_182 ),
inference(avatar_split_clause,[],[f1369,f1323,f596,f1935]) ).
fof(f1323,plain,
( spl32_182
<=> ! [X0] :
( l1_rlvect_1(sK9(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_182])]) ).
fof(f1369,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK9(X0)) )
| ~ spl32_49
| ~ spl32_182 ),
inference(resolution,[],[f1324,f597]) ).
fof(f1324,plain,
( ! [X0] :
( l1_rlvect_1(sK9(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_182 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1933,plain,
( spl32_279
| ~ spl32_49
| ~ spl32_181 ),
inference(avatar_split_clause,[],[f1368,f1319,f596,f1931]) ).
fof(f1319,plain,
( spl32_181
<=> ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_181])]) ).
fof(f1368,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK10(X0)) )
| ~ spl32_49
| ~ spl32_181 ),
inference(resolution,[],[f1320,f597]) ).
fof(f1320,plain,
( ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_181 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1929,plain,
( spl32_278
| ~ spl32_49
| ~ spl32_180 ),
inference(avatar_split_clause,[],[f1362,f1315,f596,f1927]) ).
fof(f1315,plain,
( spl32_180
<=> ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_180])]) ).
fof(f1362,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK11(X0)) )
| ~ spl32_49
| ~ spl32_180 ),
inference(resolution,[],[f1316,f597]) ).
fof(f1316,plain,
( ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_180 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1923,plain,
( spl32_277
| ~ spl32_172
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1557,f1539,f1266,f1921]) ).
fof(f1266,plain,
( spl32_172
<=> ! [X0] :
( m2_relset_1(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_172])]) ).
fof(f1557,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,sK6))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,u1_struct_0(X1)),sK7))
| ~ l1_vectsp_2(sK6,X1)
| ~ l1_struct_0(X1) )
| ~ spl32_172
| ~ spl32_216 ),
inference(resolution,[],[f1540,f1267]) ).
fof(f1267,plain,
( ! [X0] :
( m2_relset_1(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_172 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1917,plain,
( spl32_276
| ~ spl32_175
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1558,f1539,f1283,f1915]) ).
fof(f1283,plain,
( spl32_175
<=> ! [X0] :
( m2_relset_1(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_175])]) ).
fof(f1558,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(sK6,X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),sK7),u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,sK6) )
| ~ spl32_175
| ~ spl32_216 ),
inference(resolution,[],[f1540,f1284]) ).
fof(f1284,plain,
( ! [X0] :
( m2_relset_1(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK6) )
| ~ spl32_175 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1906,plain,
( spl32_275
| ~ spl32_68
| ~ spl32_176 ),
inference(avatar_split_clause,[],[f1292,f1289,f685,f1904]) ).
fof(f1904,plain,
( spl32_275
<=> ! [X0] : m1_subset_1(sK29,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_275])]) ).
fof(f685,plain,
( spl32_68
<=> ! [X0] : m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
fof(f1289,plain,
( spl32_176
<=> ! [X0] : sK16(X0) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_176])]) ).
fof(f1292,plain,
( ! [X0] : m1_subset_1(sK29,k1_zfmisc_1(X0))
| ~ spl32_68
| ~ spl32_176 ),
inference(superposition,[],[f686,f1290]) ).
fof(f1290,plain,
( ! [X0] : sK16(X0) = sK29
| ~ spl32_176 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f686,plain,
( ! [X0] : m1_subset_1(sK16(X0),k1_zfmisc_1(X0))
| ~ spl32_68 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f1892,plain,
( spl32_274
| ~ spl32_111
| ~ spl32_172 ),
inference(avatar_split_clause,[],[f1270,f1266,f886,f1890]) ).
fof(f886,plain,
( spl32_111
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_111])]) ).
fof(f1270,plain,
( ! [X0] :
( ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0)
| m1_relset_1(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7) )
| ~ spl32_111
| ~ spl32_172 ),
inference(resolution,[],[f1267,f887]) ).
fof(f887,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl32_111 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f1886,plain,
( spl32_273
| ~ spl32_111
| ~ spl32_175 ),
inference(avatar_split_clause,[],[f1286,f1283,f886,f1884]) ).
fof(f1884,plain,
( spl32_273
<=> ! [X0] :
( ~ l1_vectsp_2(X0,sK6)
| m1_relset_1(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_273])]) ).
fof(f1286,plain,
( ! [X0] :
( ~ l1_vectsp_2(X0,sK6)
| m1_relset_1(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0)) )
| ~ spl32_111
| ~ spl32_175 ),
inference(resolution,[],[f1284,f887]) ).
fof(f1881,plain,
( spl32_272
| ~ spl32_169
| ~ spl32_216 ),
inference(avatar_split_clause,[],[f1555,f1539,f1250,f1879]) ).
fof(f1250,plain,
( spl32_169
<=> m2_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_169])]) ).
fof(f1555,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_rlvect_1(sK6))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(sK7,sK7),sK7)) )
| ~ spl32_169
| ~ spl32_216 ),
inference(resolution,[],[f1540,f1252]) ).
fof(f1252,plain,
( m2_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ spl32_169 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1877,plain,
( ~ spl32_270
| spl32_271
| ~ spl32_22
| ~ spl32_174 ),
inference(avatar_split_clause,[],[f1281,f1278,f470,f1874,f1870]) ).
fof(f1870,plain,
( spl32_270
<=> l1_vectsp_2(sK6,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_270])]) ).
fof(f1874,plain,
( spl32_271
<=> v1_funct_2(u1_vectsp_2(sK6,sK6),k2_zfmisc_1(sK7,sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_271])]) ).
fof(f1278,plain,
( spl32_174
<=> ! [X0] :
( v1_funct_2(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_174])]) ).
fof(f1281,plain,
( v1_funct_2(u1_vectsp_2(sK6,sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ l1_vectsp_2(sK6,sK6)
| ~ spl32_22
| ~ spl32_174 ),
inference(superposition,[],[f1279,f472]) ).
fof(f1279,plain,
( ! [X0] :
( v1_funct_2(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK6) )
| ~ spl32_174 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1868,plain,
( spl32_268
| spl32_269
| ~ spl32_187
| ~ spl32_220 ),
inference(avatar_split_clause,[],[f1661,f1574,f1374,f1865,f1861]) ).
fof(f1574,plain,
( spl32_220
<=> ! [X0] :
( m1_subset_1(X0,sK7)
| ~ r2_hidden(X0,sK12(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_220])]) ).
fof(f1661,plain,
( m1_subset_1(sK15(sK12(sK6)),sK7)
| v1_xboole_0(sK12(sK6))
| ~ spl32_187
| ~ spl32_220 ),
inference(resolution,[],[f1575,f1375]) ).
fof(f1575,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK12(sK6))
| m1_subset_1(X0,sK7) )
| ~ spl32_220 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1854,plain,
( spl32_267
| ~ spl32_50
| ~ spl32_163 ),
inference(avatar_split_clause,[],[f1235,f1208,f600,f1851]) ).
fof(f1851,plain,
( spl32_267
<=> l1_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_267])]) ).
fof(f1208,plain,
( spl32_163
<=> l2_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_163])]) ).
fof(f1235,plain,
( l1_struct_0(sK26)
| ~ spl32_50
| ~ spl32_163 ),
inference(resolution,[],[f1210,f601]) ).
fof(f1210,plain,
( l2_struct_0(sK26)
| ~ spl32_163 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1849,plain,
( spl32_266
| ~ spl32_43
| ~ spl32_162 ),
inference(avatar_split_clause,[],[f1234,f1203,f572,f1846]) ).
fof(f572,plain,
( spl32_43
<=> ! [X0] :
( l1_vectsp_1(X0)
| ~ l2_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
fof(f1203,plain,
( spl32_162
<=> l2_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_162])]) ).
fof(f1234,plain,
( l1_vectsp_1(sK25)
| ~ spl32_43
| ~ spl32_162 ),
inference(resolution,[],[f1205,f573]) ).
fof(f573,plain,
( ! [X0] :
( ~ l2_vectsp_1(X0)
| l1_vectsp_1(X0) )
| ~ spl32_43 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1205,plain,
( l2_vectsp_1(sK25)
| ~ spl32_162 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1844,plain,
( spl32_265
| ~ spl32_49
| ~ spl32_161 ),
inference(avatar_split_clause,[],[f1232,f1198,f596,f1841]) ).
fof(f1198,plain,
( spl32_161
<=> l1_rlvect_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_161])]) ).
fof(f1232,plain,
( l2_struct_0(sK25)
| ~ spl32_49
| ~ spl32_161 ),
inference(resolution,[],[f1200,f597]) ).
fof(f1200,plain,
( l1_rlvect_1(sK25)
| ~ spl32_161 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1839,plain,
( spl32_264
| ~ spl32_45
| ~ spl32_160 ),
inference(avatar_split_clause,[],[f1231,f1193,f580,f1836]) ).
fof(f1836,plain,
( spl32_264
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_264])]) ).
fof(f580,plain,
( spl32_45
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).
fof(f1193,plain,
( spl32_160
<=> l1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_160])]) ).
fof(f1231,plain,
( l1_struct_0(sK24)
| ~ spl32_45
| ~ spl32_160 ),
inference(resolution,[],[f1195,f581]) ).
fof(f581,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl32_45 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f1195,plain,
( l1_group_1(sK24)
| ~ spl32_160 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1834,plain,
( spl32_263
| ~ spl32_50
| ~ spl32_158 ),
inference(avatar_split_clause,[],[f1230,f1183,f600,f1831]) ).
fof(f1831,plain,
( spl32_263
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_263])]) ).
fof(f1183,plain,
( spl32_158
<=> l2_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_158])]) ).
fof(f1230,plain,
( l1_struct_0(sK22)
| ~ spl32_50
| ~ spl32_158 ),
inference(resolution,[],[f1185,f601]) ).
fof(f1185,plain,
( l2_struct_0(sK22)
| ~ spl32_158 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1829,plain,
( spl32_262
| ~ spl32_46
| ~ spl32_157 ),
inference(avatar_split_clause,[],[f1224,f1178,f584,f1826]) ).
fof(f1826,plain,
( spl32_262
<=> l1_group_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_262])]) ).
fof(f1224,plain,
( l1_group_1(sK22)
| ~ spl32_46
| ~ spl32_157 ),
inference(resolution,[],[f1180,f585]) ).
fof(f1821,plain,
( spl32_261
| ~ spl32_104
| ~ spl32_149 ),
inference(avatar_split_clause,[],[f1131,f1128,f841,f1819]) ).
fof(f1128,plain,
( spl32_149
<=> ! [X0,X1,X3] :
( k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_149])]) ).
fof(f1131,plain,
( ! [X2,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_vectsp_2(X1,X0)
| k1_rmod_5(X0,X2,u1_struct_0(X1)) = X1
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| ~ spl32_104
| ~ spl32_149 ),
inference(resolution,[],[f1129,f842]) ).
fof(f1129,plain,
( ! [X3,X0,X1] :
( ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X1)))
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_149 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1815,plain,
( spl32_260
| ~ spl32_83
| ~ spl32_145 ),
inference(avatar_split_clause,[],[f1110,f1102,f754,f1813]) ).
fof(f754,plain,
( spl32_83
<=> ! [X0] :
( l1_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).
fof(f1102,plain,
( spl32_145
<=> ! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_145])]) ).
fof(f1110,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0))) = k2_rmod_2(X0,sK14(X0))
| ~ v5_vectsp_2(sK14(X0),X0)
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_83
| ~ spl32_145 ),
inference(resolution,[],[f1103,f755]) ).
fof(f755,plain,
( ! [X0] :
( l1_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) )
| ~ spl32_83 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f1103,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_145 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1811,plain,
( ~ spl32_259
| ~ spl32_86
| ~ spl32_248 ),
inference(avatar_split_clause,[],[f1772,f1742,f766,f1808]) ).
fof(f1808,plain,
( spl32_259
<=> r2_hidden(k1_zfmisc_1(sK7),sK12(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_259])]) ).
fof(f1742,plain,
( spl32_248
<=> r2_hidden(sK12(sK6),k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_248])]) ).
fof(f1772,plain,
( ~ r2_hidden(k1_zfmisc_1(sK7),sK12(sK6))
| ~ spl32_86
| ~ spl32_248 ),
inference(resolution,[],[f1744,f767]) ).
fof(f1744,plain,
( r2_hidden(sK12(sK6),k1_zfmisc_1(sK7))
| ~ spl32_248 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1806,plain,
( spl32_258
| ~ spl32_80
| ~ spl32_145 ),
inference(avatar_split_clause,[],[f1109,f1102,f741,f1804]) ).
fof(f1804,plain,
( spl32_258
<=> ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0))) = k2_rmod_2(X0,sK13(X0))
| ~ v5_vectsp_2(sK13(X0),X0)
| ~ v6_rlvect_1(sK13(X0))
| ~ v5_rlvect_1(sK13(X0))
| ~ v4_rlvect_1(sK13(X0))
| ~ v3_rlvect_1(sK13(X0))
| v3_struct_0(sK13(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_258])]) ).
fof(f741,plain,
( spl32_80
<=> ! [X0] :
( l1_vectsp_2(sK13(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_80])]) ).
fof(f1109,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0))) = k2_rmod_2(X0,sK13(X0))
| ~ v5_vectsp_2(sK13(X0),X0)
| ~ v6_rlvect_1(sK13(X0))
| ~ v5_rlvect_1(sK13(X0))
| ~ v4_rlvect_1(sK13(X0))
| ~ v3_rlvect_1(sK13(X0))
| v3_struct_0(sK13(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_80
| ~ spl32_145 ),
inference(resolution,[],[f1103,f742]) ).
fof(f742,plain,
( ! [X0] :
( l1_vectsp_2(sK13(X0),X0)
| ~ sP0(X0) )
| ~ spl32_80 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f1802,plain,
( spl32_257
| ~ spl32_78
| ~ spl32_145 ),
inference(avatar_split_clause,[],[f1108,f1102,f733,f1800]) ).
fof(f1800,plain,
( spl32_257
<=> ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0))) = k2_rmod_2(X0,sK11(X0))
| ~ v5_vectsp_2(sK11(X0),X0)
| ~ v6_rlvect_1(sK11(X0))
| ~ v5_rlvect_1(sK11(X0))
| ~ v4_rlvect_1(sK11(X0))
| ~ v3_rlvect_1(sK11(X0))
| v3_struct_0(sK11(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_257])]) ).
fof(f733,plain,
( spl32_78
<=> ! [X0] :
( l1_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_78])]) ).
fof(f1108,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0))) = k2_rmod_2(X0,sK11(X0))
| ~ v5_vectsp_2(sK11(X0),X0)
| ~ v6_rlvect_1(sK11(X0))
| ~ v5_rlvect_1(sK11(X0))
| ~ v4_rlvect_1(sK11(X0))
| ~ v3_rlvect_1(sK11(X0))
| v3_struct_0(sK11(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_78
| ~ spl32_145 ),
inference(resolution,[],[f1103,f734]) ).
fof(f734,plain,
( ! [X0] :
( l1_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl32_78 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f1798,plain,
( spl32_256
| ~ spl32_77
| ~ spl32_145 ),
inference(avatar_split_clause,[],[f1107,f1102,f729,f1796]) ).
fof(f1796,plain,
( spl32_256
<=> ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK10(X0)),u1_rlvect_1(sK10(X0)),u2_struct_0(sK10(X0)),u1_vectsp_2(X0,sK10(X0))) = k2_rmod_2(X0,sK10(X0))
| ~ v5_vectsp_2(sK10(X0),X0)
| ~ v6_rlvect_1(sK10(X0))
| ~ v5_rlvect_1(sK10(X0))
| ~ v4_rlvect_1(sK10(X0))
| ~ v3_rlvect_1(sK10(X0))
| v3_struct_0(sK10(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_256])]) ).
fof(f729,plain,
( spl32_77
<=> ! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).
fof(f1107,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK10(X0)),u1_rlvect_1(sK10(X0)),u2_struct_0(sK10(X0)),u1_vectsp_2(X0,sK10(X0))) = k2_rmod_2(X0,sK10(X0))
| ~ v5_vectsp_2(sK10(X0),X0)
| ~ v6_rlvect_1(sK10(X0))
| ~ v5_rlvect_1(sK10(X0))
| ~ v4_rlvect_1(sK10(X0))
| ~ v3_rlvect_1(sK10(X0))
| v3_struct_0(sK10(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_77
| ~ spl32_145 ),
inference(resolution,[],[f1103,f730]) ).
fof(f730,plain,
( ! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl32_77 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f1794,plain,
( spl32_255
| ~ spl32_76
| ~ spl32_145 ),
inference(avatar_split_clause,[],[f1106,f1102,f725,f1792]) ).
fof(f1792,plain,
( spl32_255
<=> ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK9(X0)),u1_rlvect_1(sK9(X0)),u2_struct_0(sK9(X0)),u1_vectsp_2(X0,sK9(X0))) = k2_rmod_2(X0,sK9(X0))
| ~ v5_vectsp_2(sK9(X0),X0)
| ~ v6_rlvect_1(sK9(X0))
| ~ v5_rlvect_1(sK9(X0))
| ~ v4_rlvect_1(sK9(X0))
| ~ v3_rlvect_1(sK9(X0))
| v3_struct_0(sK9(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_255])]) ).
fof(f725,plain,
( spl32_76
<=> ! [X0] :
( l1_vectsp_2(sK9(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_76])]) ).
fof(f1106,plain,
( ! [X0] :
( g1_vectsp_2(X0,u1_struct_0(sK9(X0)),u1_rlvect_1(sK9(X0)),u2_struct_0(sK9(X0)),u1_vectsp_2(X0,sK9(X0))) = k2_rmod_2(X0,sK9(X0))
| ~ v5_vectsp_2(sK9(X0),X0)
| ~ v6_rlvect_1(sK9(X0))
| ~ v5_rlvect_1(sK9(X0))
| ~ v4_rlvect_1(sK9(X0))
| ~ v3_rlvect_1(sK9(X0))
| v3_struct_0(sK9(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_76
| ~ spl32_145 ),
inference(resolution,[],[f1103,f726]) ).
fof(f726,plain,
( ! [X0] :
( l1_vectsp_2(sK9(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl32_76 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f1783,plain,
( spl32_254
| ~ spl32_141
| ~ spl32_147 ),
inference(avatar_split_clause,[],[f1121,f1117,f1075,f1781]) ).
fof(f1075,plain,
( spl32_141
<=> ! [X2,X0,X1] :
( sP2(X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_141])]) ).
fof(f1117,plain,
( spl32_147
<=> ! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_147])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| sP2(X2,k1_rmod_5(X2,X1,X0)) )
| ~ spl32_141
| ~ spl32_147 ),
inference(duplicate_literal_removal,[],[f1120]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| sP2(X2,k1_rmod_5(X2,X1,X0))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2) )
| ~ spl32_141
| ~ spl32_147 ),
inference(resolution,[],[f1118,f1076]) ).
fof(f1076,plain,
( ! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| sP2(X0,X2)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_141 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1118,plain,
( ! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_147 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1778,plain,
( spl32_253
| ~ spl32_90
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1099,f1096,f782,f1776]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_90
| ~ spl32_144 ),
inference(resolution,[],[f1097,f783]) ).
fof(f1769,plain,
( spl32_252
| ~ spl32_90
| ~ spl32_143 ),
inference(avatar_split_clause,[],[f1093,f1083,f782,f1767]) ).
fof(f1093,plain,
( ! [X2,X3,X0,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_90
| ~ spl32_143 ),
inference(resolution,[],[f1084,f783]) ).
fof(f1765,plain,
( spl32_251
| ~ spl32_90
| ~ spl32_142 ),
inference(avatar_split_clause,[],[f1091,f1079,f782,f1763]) ).
fof(f1091,plain,
( ! [X2,X3,X0,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK19(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl32_90
| ~ spl32_142 ),
inference(resolution,[],[f1080,f783]) ).
fof(f1755,plain,
( spl32_250
| ~ spl32_148 ),
inference(avatar_split_clause,[],[f1126,f1123,f1753]) ).
fof(f1126,plain,
( ! [X2,X3,X0,X1,X4] :
( sP4(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4)
| ~ m1_relset_1(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X4) )
| ~ spl32_148 ),
inference(equality_resolution,[],[f1124]) ).
fof(f1749,plain,
( spl32_249
| ~ spl32_83
| ~ spl32_136 ),
inference(avatar_split_clause,[],[f1056,f1048,f754,f1747]) ).
fof(f1048,plain,
( spl32_136
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_136])]) ).
fof(f1056,plain,
( ! [X0] :
( sP3(X0,sK14(X0))
| ~ v5_vectsp_2(sK14(X0),X0)
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_83
| ~ spl32_136 ),
inference(resolution,[],[f1049,f755]) ).
fof(f1049,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| sP3(X0,X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_136 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1745,plain,
( spl32_248
| spl32_154
| ~ spl32_107
| ~ spl32_167 ),
inference(avatar_split_clause,[],[f1243,f1237,f870,f1156,f1742]) ).
fof(f1156,plain,
( spl32_154
<=> v1_xboole_0(k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_154])]) ).
fof(f1237,plain,
( spl32_167
<=> m1_subset_1(sK12(sK6),k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_167])]) ).
fof(f1243,plain,
( v1_xboole_0(k1_zfmisc_1(sK7))
| r2_hidden(sK12(sK6),k1_zfmisc_1(sK7))
| ~ spl32_107
| ~ spl32_167 ),
inference(resolution,[],[f1239,f871]) ).
fof(f1239,plain,
( m1_subset_1(sK12(sK6),k1_zfmisc_1(sK7))
| ~ spl32_167 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1740,plain,
( spl32_247
| ~ spl32_80
| ~ spl32_136 ),
inference(avatar_split_clause,[],[f1055,f1048,f741,f1738]) ).
fof(f1738,plain,
( spl32_247
<=> ! [X0] :
( sP3(X0,sK13(X0))
| ~ v5_vectsp_2(sK13(X0),X0)
| ~ v6_rlvect_1(sK13(X0))
| ~ v5_rlvect_1(sK13(X0))
| ~ v4_rlvect_1(sK13(X0))
| ~ v3_rlvect_1(sK13(X0))
| v3_struct_0(sK13(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_247])]) ).
fof(f1055,plain,
( ! [X0] :
( sP3(X0,sK13(X0))
| ~ v5_vectsp_2(sK13(X0),X0)
| ~ v6_rlvect_1(sK13(X0))
| ~ v5_rlvect_1(sK13(X0))
| ~ v4_rlvect_1(sK13(X0))
| ~ v3_rlvect_1(sK13(X0))
| v3_struct_0(sK13(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_80
| ~ spl32_136 ),
inference(resolution,[],[f1049,f742]) ).
fof(f1736,plain,
( spl32_246
| ~ spl32_78
| ~ spl32_136 ),
inference(avatar_split_clause,[],[f1054,f1048,f733,f1734]) ).
fof(f1734,plain,
( spl32_246
<=> ! [X0] :
( sP3(X0,sK11(X0))
| ~ v5_vectsp_2(sK11(X0),X0)
| ~ v6_rlvect_1(sK11(X0))
| ~ v5_rlvect_1(sK11(X0))
| ~ v4_rlvect_1(sK11(X0))
| ~ v3_rlvect_1(sK11(X0))
| v3_struct_0(sK11(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_246])]) ).
fof(f1054,plain,
( ! [X0] :
( sP3(X0,sK11(X0))
| ~ v5_vectsp_2(sK11(X0),X0)
| ~ v6_rlvect_1(sK11(X0))
| ~ v5_rlvect_1(sK11(X0))
| ~ v4_rlvect_1(sK11(X0))
| ~ v3_rlvect_1(sK11(X0))
| v3_struct_0(sK11(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_78
| ~ spl32_136 ),
inference(resolution,[],[f1049,f734]) ).
fof(f1732,plain,
( spl32_245
| ~ spl32_77
| ~ spl32_136 ),
inference(avatar_split_clause,[],[f1053,f1048,f729,f1730]) ).
fof(f1730,plain,
( spl32_245
<=> ! [X0] :
( sP3(X0,sK10(X0))
| ~ v5_vectsp_2(sK10(X0),X0)
| ~ v6_rlvect_1(sK10(X0))
| ~ v5_rlvect_1(sK10(X0))
| ~ v4_rlvect_1(sK10(X0))
| ~ v3_rlvect_1(sK10(X0))
| v3_struct_0(sK10(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_245])]) ).
fof(f1053,plain,
( ! [X0] :
( sP3(X0,sK10(X0))
| ~ v5_vectsp_2(sK10(X0),X0)
| ~ v6_rlvect_1(sK10(X0))
| ~ v5_rlvect_1(sK10(X0))
| ~ v4_rlvect_1(sK10(X0))
| ~ v3_rlvect_1(sK10(X0))
| v3_struct_0(sK10(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_77
| ~ spl32_136 ),
inference(resolution,[],[f1049,f730]) ).
fof(f1728,plain,
( spl32_244
| ~ spl32_76
| ~ spl32_136 ),
inference(avatar_split_clause,[],[f1052,f1048,f725,f1726]) ).
fof(f1726,plain,
( spl32_244
<=> ! [X0] :
( sP3(X0,sK9(X0))
| ~ v5_vectsp_2(sK9(X0),X0)
| ~ v6_rlvect_1(sK9(X0))
| ~ v5_rlvect_1(sK9(X0))
| ~ v4_rlvect_1(sK9(X0))
| ~ v3_rlvect_1(sK9(X0))
| v3_struct_0(sK9(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_244])]) ).
fof(f1052,plain,
( ! [X0] :
( sP3(X0,sK9(X0))
| ~ v5_vectsp_2(sK9(X0),X0)
| ~ v6_rlvect_1(sK9(X0))
| ~ v5_rlvect_1(sK9(X0))
| ~ v4_rlvect_1(sK9(X0))
| ~ v3_rlvect_1(sK9(X0))
| v3_struct_0(sK9(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_76
| ~ spl32_136 ),
inference(resolution,[],[f1049,f726]) ).
fof(f1717,plain,
( spl32_243
| ~ spl32_114
| ~ spl32_141 ),
inference(avatar_split_clause,[],[f1086,f1075,f909,f1715]) ).
fof(f909,plain,
( spl32_114
<=> ! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_114])]) ).
fof(f1086,plain,
( ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP3(X0,X1) )
| ~ spl32_114
| ~ spl32_141 ),
inference(resolution,[],[f1076,f910]) ).
fof(f910,plain,
( ! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ sP3(X0,X1) )
| ~ spl32_114 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1698,plain,
( spl32_242
| ~ spl32_138
| ~ spl32_141 ),
inference(avatar_split_clause,[],[f1090,f1075,f1062,f1696]) ).
fof(f1090,plain,
( ! [X0,X1] :
( sP2(X0,k2_rmod_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_138
| ~ spl32_141 ),
inference(duplicate_literal_removal,[],[f1087]) ).
fof(f1087,plain,
( ! [X0,X1] :
( sP2(X0,k2_rmod_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_138
| ~ spl32_141 ),
inference(resolution,[],[f1076,f1063]) ).
fof(f1694,plain,
( spl32_241
| ~ spl32_139
| ~ spl32_141 ),
inference(avatar_split_clause,[],[f1089,f1075,f1066,f1692]) ).
fof(f1066,plain,
( spl32_139
<=> ! [X0,X1] :
( m1_rmod_2(sK17(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_139])]) ).
fof(f1089,plain,
( ! [X0,X1] :
( sP2(X0,sK17(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_139
| ~ spl32_141 ),
inference(duplicate_literal_removal,[],[f1088]) ).
fof(f1088,plain,
( ! [X0,X1] :
( sP2(X0,sK17(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_139
| ~ spl32_141 ),
inference(resolution,[],[f1076,f1067]) ).
fof(f1067,plain,
( ! [X0,X1] :
( m1_rmod_2(sK17(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_139 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1683,plain,
( spl32_240
| ~ spl32_83
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1029,f1021,f754,f1681]) ).
fof(f1021,plain,
( spl32_133
<=> ! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_133])]) ).
fof(f1029,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK14(X0),X0)
| sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_83
| ~ spl32_133 ),
inference(resolution,[],[f1022,f755]) ).
fof(f1022,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| ~ v3_vectsp_2(X1,X0)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ l1_struct_0(X0) )
| ~ spl32_133 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1679,plain,
( spl32_239
| ~ spl32_80
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1028,f1021,f741,f1677]) ).
fof(f1028,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK13(X0),X0)
| sK13(X0) = g1_vectsp_2(X0,u1_struct_0(sK13(X0)),u1_rlvect_1(sK13(X0)),u2_struct_0(sK13(X0)),u1_vectsp_2(X0,sK13(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_80
| ~ spl32_133 ),
inference(resolution,[],[f1022,f742]) ).
fof(f1673,plain,
( spl32_238
| ~ spl32_76
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1032,f1021,f725,f1671]) ).
fof(f1671,plain,
( spl32_238
<=> ! [X0] :
( ~ v3_vectsp_2(sK9(X0),X0)
| sK9(X0) = g1_vectsp_2(X0,u1_struct_0(sK9(X0)),u1_rlvect_1(sK9(X0)),u2_struct_0(sK9(X0)),u1_vectsp_2(X0,sK9(X0)))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).
fof(f1032,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK9(X0),X0)
| sK9(X0) = g1_vectsp_2(X0,u1_struct_0(sK9(X0)),u1_rlvect_1(sK9(X0)),u2_struct_0(sK9(X0)),u1_vectsp_2(X0,sK9(X0)))
| ~ l1_struct_0(X0) )
| ~ spl32_76
| ~ spl32_133 ),
inference(duplicate_literal_removal,[],[f1025]) ).
fof(f1025,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK9(X0),X0)
| sK9(X0) = g1_vectsp_2(X0,u1_struct_0(sK9(X0)),u1_rlvect_1(sK9(X0)),u2_struct_0(sK9(X0)),u1_vectsp_2(X0,sK9(X0)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_76
| ~ spl32_133 ),
inference(resolution,[],[f1022,f726]) ).
fof(f1669,plain,
( spl32_237
| ~ spl32_77
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1031,f1021,f729,f1667]) ).
fof(f1667,plain,
( spl32_237
<=> ! [X0] :
( ~ v3_vectsp_2(sK10(X0),X0)
| sK10(X0) = g1_vectsp_2(X0,u1_struct_0(sK10(X0)),u1_rlvect_1(sK10(X0)),u2_struct_0(sK10(X0)),u1_vectsp_2(X0,sK10(X0)))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_237])]) ).
fof(f1031,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK10(X0),X0)
| sK10(X0) = g1_vectsp_2(X0,u1_struct_0(sK10(X0)),u1_rlvect_1(sK10(X0)),u2_struct_0(sK10(X0)),u1_vectsp_2(X0,sK10(X0)))
| ~ l1_struct_0(X0) )
| ~ spl32_77
| ~ spl32_133 ),
inference(duplicate_literal_removal,[],[f1026]) ).
fof(f1026,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK10(X0),X0)
| sK10(X0) = g1_vectsp_2(X0,u1_struct_0(sK10(X0)),u1_rlvect_1(sK10(X0)),u2_struct_0(sK10(X0)),u1_vectsp_2(X0,sK10(X0)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_77
| ~ spl32_133 ),
inference(resolution,[],[f1022,f730]) ).
fof(f1665,plain,
( spl32_236
| ~ spl32_78
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1030,f1021,f733,f1663]) ).
fof(f1030,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK11(X0),X0)
| sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0) )
| ~ spl32_78
| ~ spl32_133 ),
inference(duplicate_literal_removal,[],[f1027]) ).
fof(f1027,plain,
( ! [X0] :
( ~ v3_vectsp_2(sK11(X0),X0)
| sK11(X0) = g1_vectsp_2(X0,u1_struct_0(sK11(X0)),u1_rlvect_1(sK11(X0)),u2_struct_0(sK11(X0)),u1_vectsp_2(X0,sK11(X0)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_78
| ~ spl32_133 ),
inference(resolution,[],[f1022,f734]) ).
fof(f1660,plain,
( spl32_235
| ~ spl32_111
| ~ spl32_169 ),
inference(avatar_split_clause,[],[f1254,f1250,f886,f1657]) ).
fof(f1254,plain,
( m1_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ spl32_111
| ~ spl32_169 ),
inference(resolution,[],[f1252,f887]) ).
fof(f1655,plain,
( spl32_225
| ~ spl32_226
| ~ spl32_227
| ~ spl32_228
| ~ spl32_229
| ~ spl32_230
| ~ spl32_231
| ~ spl32_232
| ~ spl32_233
| spl32_234
| ~ spl32_31
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1044,f1036,f515,f1652,f1648,f1644,f1640,f1636,f1632,f1628,f1624,f1620,f1616]) ).
fof(f1616,plain,
( spl32_225
<=> v3_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_225])]) ).
fof(f1620,plain,
( spl32_226
<=> v3_rlvect_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_226])]) ).
fof(f1624,plain,
( spl32_227
<=> v4_rlvect_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_227])]) ).
fof(f1628,plain,
( spl32_228
<=> v5_rlvect_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_228])]) ).
fof(f1632,plain,
( spl32_229
<=> v6_rlvect_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_229])]) ).
fof(f1636,plain,
( spl32_230
<=> v4_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_230])]) ).
fof(f1640,plain,
( spl32_231
<=> v6_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_231])]) ).
fof(f1644,plain,
( spl32_232
<=> v7_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_232])]) ).
fof(f1648,plain,
( spl32_233
<=> v8_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_233])]) ).
fof(f1652,plain,
( spl32_234
<=> sP0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_234])]) ).
fof(f515,plain,
( spl32_31
<=> l3_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f1036,plain,
( spl32_134
<=> ! [X0] :
( sP0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_134])]) ).
fof(f1044,plain,
( sP0(sK25)
| ~ v8_vectsp_1(sK25)
| ~ v7_vectsp_1(sK25)
| ~ v6_vectsp_1(sK25)
| ~ v4_group_1(sK25)
| ~ v6_rlvect_1(sK25)
| ~ v5_rlvect_1(sK25)
| ~ v4_rlvect_1(sK25)
| ~ v3_rlvect_1(sK25)
| v3_struct_0(sK25)
| ~ spl32_31
| ~ spl32_134 ),
inference(resolution,[],[f1037,f517]) ).
fof(f517,plain,
( l3_vectsp_1(sK25)
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1037,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| sP0(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_134 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1612,plain,
( spl32_14
| ~ spl32_15
| ~ spl32_16
| ~ spl32_17
| ~ spl32_18
| spl32_224
| ~ spl32_22
| ~ spl32_149 ),
inference(avatar_split_clause,[],[f1133,f1128,f470,f1610,f450,f445,f440,f435,f430]) ).
fof(f1133,plain,
( ! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK7))
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ m1_rmod_2(X0,X1,sK6)
| ~ v3_vectsp_2(X0,X1)
| k1_rmod_5(X1,sK6,u1_struct_0(X0)) = X0
| ~ l1_vectsp_2(sK6,X1)
| ~ v5_vectsp_2(sK6,X1)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ spl32_22
| ~ spl32_149 ),
inference(superposition,[],[f1129,f472]) ).
fof(f1606,plain,
( spl32_223
| ~ spl32_22
| ~ spl32_149 ),
inference(avatar_split_clause,[],[f1132,f1128,f470,f1604]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(X0)))
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ m1_rmod_2(sK6,X1,X0)
| ~ v3_vectsp_2(sK6,X1)
| sK6 = k1_rmod_5(X1,X0,sK7)
| ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ spl32_22
| ~ spl32_149 ),
inference(superposition,[],[f1129,f472]) ).
fof(f1591,plain,
( spl32_222
| ~ spl32_111
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1017,f1012,f886,f1589]) ).
fof(f1017,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| m1_relset_1(u1_vectsp_2(X1,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0)) )
| ~ spl32_111
| ~ spl32_132 ),
inference(resolution,[],[f1013,f887]) ).
fof(f1584,plain,
( spl32_221
| ~ spl32_107
| ~ spl32_121 ),
inference(avatar_split_clause,[],[f961,f946,f870,f1582]) ).
fof(f946,plain,
( spl32_121
<=> ! [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,[spl32_121])]) ).
fof(f961,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))) )
| ~ spl32_107
| ~ spl32_121 ),
inference(resolution,[],[f947,f871]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl32_121 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1576,plain,
( spl32_220
| ~ spl32_122
| ~ spl32_167 ),
inference(avatar_split_clause,[],[f1241,f1237,f950,f1574]) ).
fof(f950,plain,
( spl32_122
<=> ! [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,[spl32_122])]) ).
fof(f1241,plain,
( ! [X0] :
( m1_subset_1(X0,sK7)
| ~ r2_hidden(X0,sK12(sK6)) )
| ~ spl32_122
| ~ spl32_167 ),
inference(resolution,[],[f1239,f951]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl32_122 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1572,plain,
( spl32_219
| ~ spl32_107
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f958,f942,f870,f1570]) ).
fof(f942,plain,
( spl32_120
<=> ! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_120])]) ).
fof(f958,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl32_107
| ~ spl32_120 ),
inference(resolution,[],[f943,f871]) ).
fof(f943,plain,
( ! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl32_120 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1549,plain,
( spl32_218
| ~ spl32_111
| ~ spl32_124 ),
inference(avatar_split_clause,[],[f980,f976,f886,f1547]) ).
fof(f980,plain,
( ! [X0] :
( ~ l1_rlvect_1(X0)
| m1_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl32_111
| ~ spl32_124 ),
inference(resolution,[],[f977,f887]) ).
fof(f1545,plain,
( spl32_217
| ~ spl32_120
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f966,f950,f942,f1543]) ).
fof(f966,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK12(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl32_120
| ~ spl32_122 ),
inference(resolution,[],[f951,f943]) ).
fof(f1541,plain,
( spl32_216
| ~ spl32_121
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f963,f950,f946,f1539]) ).
fof(f963,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl32_121
| ~ spl32_122 ),
inference(resolution,[],[f951,f947]) ).
fof(f1537,plain,
( spl32_215
| ~ spl32_107
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f920,f905,f870,f1535]) ).
fof(f905,plain,
( spl32_113
<=> ! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_113])]) ).
fof(f920,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k2_group_1(X0),u1_struct_0(X0)) )
| ~ spl32_107
| ~ spl32_113 ),
inference(resolution,[],[f906,f871]) ).
fof(f906,plain,
( ! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl32_113 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f1531,plain,
( spl32_214
| ~ spl32_177
| ~ spl32_213 ),
inference(avatar_split_clause,[],[f1526,f1522,f1295,f1528]) ).
fof(f1522,plain,
( spl32_213
<=> g1_vectsp_2(sK5,sK7,u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6)) = k2_rmod_2(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_213])]) ).
fof(f1526,plain,
( sK6 = k2_rmod_2(sK5,sK6)
| ~ spl32_177
| ~ spl32_213 ),
inference(forward_demodulation,[],[f1524,f1297]) ).
fof(f1524,plain,
( g1_vectsp_2(sK5,sK7,u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6)) = k2_rmod_2(sK5,sK6)
| ~ spl32_213 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1525,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| ~ spl32_13
| spl32_14
| ~ spl32_15
| ~ spl32_16
| ~ spl32_17
| ~ spl32_18
| ~ spl32_20
| spl32_213
| ~ spl32_21
| ~ spl32_22
| ~ spl32_145 ),
inference(avatar_split_clause,[],[f1111,f1102,f470,f465,f1522,f460,f450,f445,f440,f435,f430,f425,f410,f405,f400,f390,f385,f380,f375,f370,f365]) ).
fof(f1111,plain,
( g1_vectsp_2(sK5,sK7,u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6)) = k2_rmod_2(sK5,sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_21
| ~ spl32_22
| ~ spl32_145 ),
inference(forward_demodulation,[],[f1105,f472]) ).
fof(f1105,plain,
( g1_vectsp_2(sK5,u1_struct_0(sK6),u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6)) = k2_rmod_2(sK5,sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_21
| ~ spl32_145 ),
inference(resolution,[],[f1103,f467]) ).
fof(f467,plain,
( l1_vectsp_2(sK6,sK5)
| ~ spl32_21 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f1520,plain,
( spl32_212
| ~ spl32_116
| ~ spl32_121 ),
inference(avatar_split_clause,[],[f960,f946,f917,f1518]) ).
fof(f1518,plain,
( spl32_212
<=> ! [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,[spl32_212])]) ).
fof(f917,plain,
( spl32_116
<=> ! [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,[spl32_116])]) ).
fof(f960,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl32_116
| ~ spl32_121 ),
inference(resolution,[],[f947,f918]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl32_116 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f1516,plain,
( ~ spl32_140
| spl32_211
| ~ spl32_22
| ~ spl32_144 ),
inference(avatar_split_clause,[],[f1100,f1096,f470,f1514,f1070]) ).
fof(f1514,plain,
( spl32_211
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v3_struct_0(g1_vectsp_2(sK6,X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_211])]) ).
fof(f1100,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v3_struct_0(g1_vectsp_2(sK6,X1,X2,X3,X0))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_144 ),
inference(superposition,[],[f1097,f472]) ).
fof(f1510,plain,
( ~ spl32_140
| spl32_210
| ~ spl32_22
| ~ spl32_143 ),
inference(avatar_split_clause,[],[f1094,f1083,f470,f1508,f1070]) ).
fof(f1094,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| l1_vectsp_2(g1_vectsp_2(sK6,X1,X2,X3,X0),sK6)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_143 ),
inference(superposition,[],[f1084,f472]) ).
fof(f1504,plain,
( ~ spl32_140
| spl32_209
| ~ spl32_22
| ~ spl32_142 ),
inference(avatar_split_clause,[],[f1092,f1079,f470,f1502,f1070]) ).
fof(f1092,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X1,sK7),X1)
| v3_vectsp_2(g1_vectsp_2(sK6,X1,X2,X3,X0),sK6)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,sK7),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_142 ),
inference(superposition,[],[f1080,f472]) ).
fof(f1500,plain,
( ~ spl32_208
| ~ spl32_86
| ~ spl32_199 ),
inference(avatar_split_clause,[],[f1463,f1438,f766,f1497]) ).
fof(f1497,plain,
( spl32_208
<=> r2_hidden(sK7,u2_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_208])]) ).
fof(f1438,plain,
( spl32_199
<=> r2_hidden(u2_struct_0(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_199])]) ).
fof(f1463,plain,
( ~ r2_hidden(sK7,u2_struct_0(sK6))
| ~ spl32_86
| ~ spl32_199 ),
inference(resolution,[],[f1440,f767]) ).
fof(f1440,plain,
( r2_hidden(u2_struct_0(sK6),sK7)
| ~ spl32_199 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f1481,plain,
( spl32_207
| ~ spl32_92
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f897,f870,f792,f1479]) ).
fof(f792,plain,
( spl32_92
<=> ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_92])]) ).
fof(f897,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl32_92
| ~ spl32_107 ),
inference(resolution,[],[f871,f793]) ).
fof(f793,plain,
( ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl32_92 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1477,plain,
( spl32_206
| ~ spl32_94
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f895,f870,f800,f1475]) ).
fof(f800,plain,
( spl32_94
<=> ! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).
fof(f895,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl32_94
| ~ spl32_107 ),
inference(resolution,[],[f871,f801]) ).
fof(f801,plain,
( ! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl32_94 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1473,plain,
( spl32_205
| ~ spl32_93
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f894,f870,f796,f1471]) ).
fof(f796,plain,
( spl32_93
<=> ! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_93])]) ).
fof(f894,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl32_93
| ~ spl32_107 ),
inference(resolution,[],[f871,f797]) ).
fof(f797,plain,
( ! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl32_93 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1469,plain,
( spl32_204
| ~ spl32_104
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f893,f870,f841,f1467]) ).
fof(f893,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl32_104
| ~ spl32_107 ),
inference(resolution,[],[f871,f842]) ).
fof(f1460,plain,
( spl32_203
| ~ spl32_92
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f965,f950,f792,f1458]) ).
fof(f965,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK8(X1))
| v1_xboole_0(X1) )
| ~ spl32_92
| ~ spl32_122 ),
inference(resolution,[],[f951,f793]) ).
fof(f1456,plain,
( spl32_202
| ~ spl32_104
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f962,f950,f841,f1454]) ).
fof(f1454,plain,
( spl32_202
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_202])]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl32_104
| ~ spl32_122 ),
inference(resolution,[],[f951,f842]) ).
fof(f1452,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| ~ spl32_13
| spl32_14
| ~ spl32_15
| ~ spl32_16
| ~ spl32_17
| ~ spl32_18
| ~ spl32_20
| spl32_201
| ~ spl32_21
| ~ spl32_136 ),
inference(avatar_split_clause,[],[f1051,f1048,f465,f1449,f460,f450,f445,f440,f435,f430,f425,f410,f405,f400,f390,f385,f380,f375,f370,f365]) ).
fof(f1449,plain,
( spl32_201
<=> sP3(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_201])]) ).
fof(f1051,plain,
( sP3(sK5,sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_21
| ~ spl32_136 ),
inference(resolution,[],[f1049,f467]) ).
fof(f1445,plain,
( spl32_200
| ~ spl32_51
| ~ spl32_122 ),
inference(avatar_split_clause,[],[f967,f950,f604,f1443]) ).
fof(f604,plain,
( spl32_51
<=> ! [X0] : m1_subset_1(sK15(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).
fof(f967,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK15(k1_zfmisc_1(X1))) )
| ~ spl32_51
| ~ spl32_122 ),
inference(resolution,[],[f951,f605]) ).
fof(f605,plain,
( ! [X0] : m1_subset_1(sK15(X0),X0)
| ~ spl32_51 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f1441,plain,
( spl32_199
| spl32_152
| ~ spl32_107
| ~ spl32_151 ),
inference(avatar_split_clause,[],[f1145,f1141,f870,f1147,f1438]) ).
fof(f1145,plain,
( v1_xboole_0(sK7)
| r2_hidden(u2_struct_0(sK6),sK7)
| ~ spl32_107
| ~ spl32_151 ),
inference(resolution,[],[f1143,f871]) ).
fof(f1143,plain,
( m1_subset_1(u2_struct_0(sK6),sK7)
| ~ spl32_151 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1436,plain,
( spl32_195
| spl32_196
| ~ spl32_197
| ~ spl32_198
| ~ spl32_30
| ~ spl32_118 ),
inference(avatar_split_clause,[],[f953,f934,f510,f1433,f1429,f1425,f1421]) ).
fof(f1421,plain,
( spl32_195
<=> v6_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_195])]) ).
fof(f1425,plain,
( spl32_196
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).
fof(f1429,plain,
( spl32_197
<=> v7_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_197])]) ).
fof(f1433,plain,
( spl32_198
<=> v8_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_198])]) ).
fof(f510,plain,
( spl32_30
<=> l1_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
fof(f934,plain,
( spl32_118
<=> ! [X0] :
( v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_118])]) ).
fof(f953,plain,
( ~ v8_vectsp_1(sK24)
| ~ v7_group_1(sK24)
| v3_struct_0(sK24)
| v6_vectsp_1(sK24)
| ~ spl32_30
| ~ spl32_118 ),
inference(resolution,[],[f935,f512]) ).
fof(f512,plain,
( l1_vectsp_1(sK24)
| ~ spl32_30 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f935,plain,
( ! [X0] :
( ~ l1_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| v6_vectsp_1(X0) )
| ~ spl32_118 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1419,plain,
( spl32_194
| ~ spl32_104
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f922,f917,f841,f1417]) ).
fof(f1417,plain,
( spl32_194
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_194])]) ).
fof(f922,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl32_104
| ~ spl32_116 ),
inference(resolution,[],[f918,f842]) ).
fof(f1409,plain,
( spl32_193
| ~ spl32_51
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f925,f917,f604,f1407]) ).
fof(f925,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK15(k1_zfmisc_1(X0))) )
| ~ spl32_51
| ~ spl32_116 ),
inference(resolution,[],[f918,f605]) ).
fof(f1405,plain,
( spl32_192
| ~ spl32_35
| ~ spl32_41
| ~ spl32_56
| ~ spl32_68
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f900,f870,f685,f636,f564,f535,f1403]) ).
fof(f1403,plain,
( spl32_192
<=> ! [X0] :
( r2_hidden(sK29,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_192])]) ).
fof(f535,plain,
( spl32_35
<=> v1_xboole_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f564,plain,
( spl32_41
<=> ! [X0] : v1_xboole_0(sK16(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).
fof(f636,plain,
( spl32_56
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f900,plain,
( ! [X0] :
( r2_hidden(sK29,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl32_35
| ~ spl32_41
| ~ spl32_56
| ~ spl32_68
| ~ spl32_107 ),
inference(forward_demodulation,[],[f899,f716]) ).
fof(f716,plain,
( ! [X0] : sK16(X0) = sK29
| ~ spl32_35
| ~ spl32_41
| ~ spl32_56 ),
inference(forward_demodulation,[],[f715,f714]) ).
fof(f714,plain,
( k1_xboole_0 = sK29
| ~ spl32_35
| ~ spl32_56 ),
inference(resolution,[],[f637,f537]) ).
fof(f537,plain,
( v1_xboole_0(sK29)
| ~ spl32_35 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f637,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl32_56 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f715,plain,
( ! [X0] : k1_xboole_0 = sK16(X0)
| ~ spl32_41
| ~ spl32_56 ),
inference(resolution,[],[f637,f565]) ).
fof(f565,plain,
( ! [X0] : v1_xboole_0(sK16(X0))
| ~ spl32_41 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f899,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK16(X0),k1_zfmisc_1(X0)) )
| ~ spl32_68
| ~ spl32_107 ),
inference(resolution,[],[f871,f686]) ).
fof(f1401,plain,
( spl32_191
| ~ spl32_83
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f860,f804,f754,f1399]) ).
fof(f804,plain,
( spl32_95
<=> ! [X0,X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_95])]) ).
fof(f860,plain,
( ! [X0] :
( l1_rlvect_1(sK14(X0))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl32_83
| ~ spl32_95 ),
inference(resolution,[],[f805,f755]) ).
fof(f805,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl32_95 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f1397,plain,
( spl32_190
| ~ spl32_80
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f859,f804,f741,f1395]) ).
fof(f859,plain,
( ! [X0] :
( l1_rlvect_1(sK13(X0))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl32_80
| ~ spl32_95 ),
inference(resolution,[],[f805,f742]) ).
fof(f1384,plain,
( spl32_189
| ~ spl32_90
| ~ spl32_112 ),
inference(avatar_split_clause,[],[f903,f890,f782,f1382]) ).
fof(f903,plain,
( ! [X0,X1] : m2_relset_1(sK19(X0,X1),X0,X1)
| ~ spl32_90
| ~ spl32_112 ),
inference(resolution,[],[f891,f783]) ).
fof(f1380,plain,
( spl32_188
| ~ spl32_91
| ~ spl32_111 ),
inference(avatar_split_clause,[],[f902,f886,f786,f1378]) ).
fof(f902,plain,
( ! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1)
| ~ spl32_91
| ~ spl32_111 ),
inference(resolution,[],[f887,f787]) ).
fof(f1376,plain,
( spl32_187
| ~ spl32_51
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f898,f870,f604,f1374]) ).
fof(f898,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK15(X0),X0) )
| ~ spl32_51
| ~ spl32_107 ),
inference(resolution,[],[f871,f605]) ).
fof(f1367,plain,
( ~ spl32_186
| ~ spl32_86
| ~ spl32_173 ),
inference(avatar_split_clause,[],[f1307,f1273,f766,f1364]) ).
fof(f1364,plain,
( spl32_186
<=> r2_hidden(sK7,k1_rlvect_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_186])]) ).
fof(f1273,plain,
( spl32_173
<=> r2_hidden(k1_rlvect_1(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_173])]) ).
fof(f1307,plain,
( ~ r2_hidden(sK7,k1_rlvect_1(sK6))
| ~ spl32_86
| ~ spl32_173 ),
inference(resolution,[],[f1275,f767]) ).
fof(f1275,plain,
( r2_hidden(k1_rlvect_1(sK6),sK7)
| ~ spl32_173 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1346,plain,
( spl32_183
| ~ spl32_56
| ~ spl32_170 ),
inference(avatar_split_clause,[],[f1343,f1256,f636,f1327]) ).
fof(f1256,plain,
( spl32_170
<=> k1_xboole_0 = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_170])]) ).
fof(f1343,plain,
( ! [X0] :
( sK29 = X0
| ~ v1_xboole_0(X0) )
| ~ spl32_56
| ~ spl32_170 ),
inference(forward_demodulation,[],[f637,f1258]) ).
fof(f1258,plain,
( k1_xboole_0 = sK29
| ~ spl32_170 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1342,plain,
( ~ spl32_26
| ~ spl32_184 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl32_26
| ~ spl32_184 ),
inference(resolution,[],[f1332,f492]) ).
fof(f492,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl32_26
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f1332,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl32_184 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl32_184
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_184])]) ).
fof(f1341,plain,
( ~ spl32_41
| ~ spl32_184 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl32_41
| ~ spl32_184 ),
inference(resolution,[],[f1332,f565]) ).
fof(f1340,plain,
( ~ spl32_35
| ~ spl32_184 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl32_35
| ~ spl32_184 ),
inference(resolution,[],[f1332,f537]) ).
fof(f1336,plain,
( spl32_184
| spl32_185
| ~ spl32_35
| ~ spl32_41
| ~ spl32_56
| ~ spl32_68
| ~ spl32_116 ),
inference(avatar_split_clause,[],[f927,f917,f685,f636,f564,f535,f1334,f1331]) ).
fof(f1334,plain,
( spl32_185
<=> ! [X1] : ~ r2_hidden(X1,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_185])]) ).
fof(f927,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK29)
| ~ v1_xboole_0(X0) )
| ~ spl32_35
| ~ spl32_41
| ~ spl32_56
| ~ spl32_68
| ~ spl32_116 ),
inference(forward_demodulation,[],[f926,f716]) ).
fof(f926,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK16(X0)) )
| ~ spl32_68
| ~ spl32_116 ),
inference(resolution,[],[f918,f686]) ).
fof(f1329,plain,
( spl32_183
| ~ spl32_35
| ~ spl32_105 ),
inference(avatar_split_clause,[],[f866,f845,f535,f1327]) ).
fof(f866,plain,
( ! [X0] :
( sK29 = X0
| ~ v1_xboole_0(X0) )
| ~ spl32_35
| ~ spl32_105 ),
inference(resolution,[],[f846,f537]) ).
fof(f1325,plain,
( spl32_182
| ~ spl32_76
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f863,f804,f725,f1323]) ).
fof(f863,plain,
( ! [X0] :
( l1_rlvect_1(sK9(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_76
| ~ spl32_95 ),
inference(duplicate_literal_removal,[],[f856]) ).
fof(f856,plain,
( ! [X0] :
( l1_rlvect_1(sK9(X0))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_76
| ~ spl32_95 ),
inference(resolution,[],[f805,f726]) ).
fof(f1321,plain,
( spl32_181
| ~ spl32_77
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f862,f804,f729,f1319]) ).
fof(f862,plain,
( ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_77
| ~ spl32_95 ),
inference(duplicate_literal_removal,[],[f857]) ).
fof(f857,plain,
( ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_77
| ~ spl32_95 ),
inference(resolution,[],[f805,f730]) ).
fof(f1317,plain,
( spl32_180
| ~ spl32_78
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f861,f804,f733,f1315]) ).
fof(f861,plain,
( ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0) )
| ~ spl32_78
| ~ spl32_95 ),
inference(duplicate_literal_removal,[],[f858]) ).
fof(f858,plain,
( ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl32_78
| ~ spl32_95 ),
inference(resolution,[],[f805,f734]) ).
fof(f1313,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| spl32_179
| ~ spl32_13
| ~ spl32_135 ),
inference(avatar_split_clause,[],[f1045,f1040,f425,f1310,f410,f405,f400,f390,f385,f380,f375,f370,f365]) ).
fof(f1040,plain,
( spl32_135
<=> ! [X0] :
( sP1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_135])]) ).
fof(f1045,plain,
( sP1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_13
| ~ spl32_135 ),
inference(resolution,[],[f1041,f427]) ).
fof(f427,plain,
( l3_vectsp_1(sK5)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1041,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| sP1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl32_135 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1305,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9
| ~ spl32_10
| spl32_178
| ~ spl32_13
| ~ spl32_134 ),
inference(avatar_split_clause,[],[f1043,f1036,f425,f1302,f410,f405,f400,f390,f385,f380,f375,f370,f365]) ).
fof(f1043,plain,
( sP0(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl32_13
| ~ spl32_134 ),
inference(resolution,[],[f1037,f427]) ).
fof(f1298,plain,
( ~ spl32_98
| ~ spl32_19
| spl32_177
| ~ spl32_21
| ~ spl32_22
| ~ spl32_133 ),
inference(avatar_split_clause,[],[f1033,f1021,f470,f465,f1295,f455,f816]) ).
fof(f1033,plain,
( sK6 = g1_vectsp_2(sK5,sK7,u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6))
| ~ v3_vectsp_2(sK6,sK5)
| ~ l1_struct_0(sK5)
| ~ spl32_21
| ~ spl32_22
| ~ spl32_133 ),
inference(forward_demodulation,[],[f1024,f472]) ).
fof(f1024,plain,
( ~ v3_vectsp_2(sK6,sK5)
| sK6 = g1_vectsp_2(sK5,u1_struct_0(sK6),u1_rlvect_1(sK6),u2_struct_0(sK6),u1_vectsp_2(sK5,sK6))
| ~ l1_struct_0(sK5)
| ~ spl32_21
| ~ spl32_133 ),
inference(resolution,[],[f1022,f467]) ).
fof(f1291,plain,
( spl32_176
| ~ spl32_35
| ~ spl32_41
| ~ spl32_56 ),
inference(avatar_split_clause,[],[f716,f636,f564,f535,f1289]) ).
fof(f1285,plain,
( ~ spl32_140
| spl32_175
| ~ spl32_22
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1018,f1012,f470,f1283,f1070]) ).
fof(f1018,plain,
( ! [X0] :
( m2_relset_1(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK6)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_132 ),
inference(superposition,[],[f1013,f472]) ).
fof(f1280,plain,
( ~ spl32_140
| spl32_174
| ~ spl32_22
| ~ spl32_131 ),
inference(avatar_split_clause,[],[f1015,f1008,f470,f1278,f1070]) ).
fof(f1015,plain,
( ! [X0] :
( v1_funct_2(u1_vectsp_2(sK6,X0),k2_zfmisc_1(u1_struct_0(X0),sK7),u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK6)
| ~ l1_struct_0(sK6) )
| ~ spl32_22
| ~ spl32_131 ),
inference(superposition,[],[f1009,f472]) ).
fof(f1276,plain,
( spl32_173
| spl32_152
| ~ spl32_107
| ~ spl32_150 ),
inference(avatar_split_clause,[],[f1139,f1135,f870,f1147,f1273]) ).
fof(f1135,plain,
( spl32_150
<=> m1_subset_1(k1_rlvect_1(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_150])]) ).
fof(f1139,plain,
( v1_xboole_0(sK7)
| r2_hidden(k1_rlvect_1(sK6),sK7)
| ~ spl32_107
| ~ spl32_150 ),
inference(resolution,[],[f1137,f871]) ).
fof(f1137,plain,
( m1_subset_1(k1_rlvect_1(sK6),sK7)
| ~ spl32_150 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1268,plain,
( spl32_172
| ~ spl32_22
| ~ spl32_132 ),
inference(avatar_split_clause,[],[f1019,f1012,f470,f1266]) ).
fof(f1019,plain,
( ! [X0] :
( m2_relset_1(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_22
| ~ spl32_132 ),
inference(superposition,[],[f1013,f472]) ).
fof(f1264,plain,
( spl32_171
| ~ spl32_22
| ~ spl32_131 ),
inference(avatar_split_clause,[],[f1016,f1008,f470,f1262]) ).
fof(f1016,plain,
( ! [X0] :
( v1_funct_2(u1_vectsp_2(X0,sK6),k2_zfmisc_1(sK7,u1_struct_0(X0)),sK7)
| ~ l1_vectsp_2(sK6,X0)
| ~ l1_struct_0(X0) )
| ~ spl32_22
| ~ spl32_131 ),
inference(superposition,[],[f1009,f472]) ).
fof(f1259,plain,
( spl32_170
| ~ spl32_35
| ~ spl32_56 ),
inference(avatar_split_clause,[],[f714,f636,f535,f1256]) ).
fof(f1253,plain,
( ~ spl32_117
| spl32_169
| ~ spl32_22
| ~ spl32_124 ),
inference(avatar_split_clause,[],[f981,f976,f470,f1250,f929]) ).
fof(f981,plain,
( m2_relset_1(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ l1_rlvect_1(sK6)
| ~ spl32_22
| ~ spl32_124 ),
inference(superposition,[],[f977,f472]) ).
fof(f1248,plain,
( ~ spl32_117
| spl32_168
| ~ spl32_22
| ~ spl32_123 ),
inference(avatar_split_clause,[],[f979,f972,f470,f1245,f929]) ).
fof(f979,plain,
( v1_funct_2(u1_rlvect_1(sK6),k2_zfmisc_1(sK7,sK7),sK7)
| ~ l1_rlvect_1(sK6)
| ~ spl32_22
| ~ spl32_123 ),
inference(superposition,[],[f973,f472]) ).
fof(f1240,plain,
( spl32_14
| ~ spl32_140
| spl32_167
| ~ spl32_22
| ~ spl32_120 ),
inference(avatar_split_clause,[],[f959,f942,f470,f1237,f1070,f430]) ).
fof(f959,plain,
( m1_subset_1(sK12(sK6),k1_zfmisc_1(sK7))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl32_22
| ~ spl32_120 ),
inference(superposition,[],[f943,f472]) ).
fof(f1229,plain,
( ~ spl32_166
| ~ spl32_86
| ~ spl32_153 ),
inference(avatar_split_clause,[],[f1166,f1152,f766,f1226]) ).
fof(f1226,plain,
( spl32_166
<=> r2_hidden(k1_zfmisc_1(sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_166])]) ).
fof(f1152,plain,
( spl32_153
<=> r2_hidden(sK7,k1_zfmisc_1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_153])]) ).
fof(f1166,plain,
( ~ r2_hidden(k1_zfmisc_1(sK7),sK7)
| ~ spl32_86
| ~ spl32_153 ),
inference(resolution,[],[f1154,f767]) ).
fof(f1154,plain,
( r2_hidden(sK7,k1_zfmisc_1(sK7))
| ~ spl32_153 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1221,plain,
( spl32_165
| ~ spl32_36
| ~ spl32_50 ),
inference(avatar_split_clause,[],[f622,f600,f540,f1218]) ).
fof(f1218,plain,
( spl32_165
<=> l1_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_165])]) ).
fof(f540,plain,
( spl32_36
<=> l2_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
fof(f622,plain,
( l1_struct_0(sK30)
| ~ spl32_36
| ~ spl32_50 ),
inference(resolution,[],[f601,f542]) ).
fof(f542,plain,
( l2_struct_0(sK30)
| ~ spl32_36 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f1216,plain,
( spl32_164
| ~ spl32_33
| ~ spl32_50 ),
inference(avatar_split_clause,[],[f621,f600,f525,f1213]) ).
fof(f1213,plain,
( spl32_164
<=> l1_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_164])]) ).
fof(f525,plain,
( spl32_33
<=> l2_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f621,plain,
( l1_struct_0(sK27)
| ~ spl32_33
| ~ spl32_50 ),
inference(resolution,[],[f601,f527]) ).
fof(f527,plain,
( l2_struct_0(sK27)
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f1211,plain,
( spl32_163
| ~ spl32_32
| ~ spl32_49 ),
inference(avatar_split_clause,[],[f615,f596,f520,f1208]) ).
fof(f520,plain,
( spl32_32
<=> l1_rlvect_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f615,plain,
( l2_struct_0(sK26)
| ~ spl32_32
| ~ spl32_49 ),
inference(resolution,[],[f597,f522]) ).
fof(f522,plain,
( l1_rlvect_1(sK26)
| ~ spl32_32 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f1206,plain,
( spl32_162
| ~ spl32_31
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f614,f592,f515,f1203]) ).
fof(f592,plain,
( spl32_48
<=> ! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).
fof(f614,plain,
( l2_vectsp_1(sK25)
| ~ spl32_31
| ~ spl32_48 ),
inference(resolution,[],[f593,f517]) ).
fof(f593,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) )
| ~ spl32_48 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1201,plain,
( spl32_161
| ~ spl32_31
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f612,f588,f515,f1198]) ).
fof(f588,plain,
( spl32_47
<=> ! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
fof(f612,plain,
( l1_rlvect_1(sK25)
| ~ spl32_31
| ~ spl32_47 ),
inference(resolution,[],[f589,f517]) ).
fof(f589,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| l1_rlvect_1(X0) )
| ~ spl32_47 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f1196,plain,
( spl32_160
| ~ spl32_30
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f610,f584,f510,f1193]) ).
fof(f610,plain,
( l1_group_1(sK24)
| ~ spl32_30
| ~ spl32_46 ),
inference(resolution,[],[f585,f512]) ).
fof(f1191,plain,
( spl32_159
| ~ spl32_29
| ~ spl32_45 ),
inference(avatar_split_clause,[],[f609,f580,f505,f1188]) ).
fof(f1188,plain,
( spl32_159
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_159])]) ).
fof(f505,plain,
( spl32_29
<=> l1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
fof(f609,plain,
( l1_struct_0(sK23)
| ~ spl32_29
| ~ spl32_45 ),
inference(resolution,[],[f581,f507]) ).
fof(f507,plain,
( l1_group_1(sK23)
| ~ spl32_29 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f1186,plain,
( spl32_158
| ~ spl32_28
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f608,f576,f500,f1183]) ).
fof(f500,plain,
( spl32_28
<=> l2_vectsp_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f576,plain,
( spl32_44
<=> ! [X0] :
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).
fof(f608,plain,
( l2_struct_0(sK22)
| ~ spl32_28
| ~ spl32_44 ),
inference(resolution,[],[f577,f502]) ).
fof(f502,plain,
( l2_vectsp_1(sK22)
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f577,plain,
( ! [X0] :
( ~ l2_vectsp_1(X0)
| l2_struct_0(X0) )
| ~ spl32_44 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f1181,plain,
( spl32_157
| ~ spl32_28
| ~ spl32_43 ),
inference(avatar_split_clause,[],[f607,f572,f500,f1178]) ).
fof(f607,plain,
( l1_vectsp_1(sK22)
| ~ spl32_28
| ~ spl32_43 ),
inference(resolution,[],[f573,f502]) ).
fof(f1176,plain,
( spl32_14
| ~ spl32_155
| spl32_156
| ~ spl32_22
| ~ spl32_113 ),
inference(avatar_split_clause,[],[f921,f905,f470,f1173,f1169,f430]) ).
fof(f1169,plain,
( spl32_155
<=> l1_group_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_155])]) ).
fof(f1173,plain,
( spl32_156
<=> m1_subset_1(k2_group_1(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_156])]) ).
fof(f921,plain,
( m1_subset_1(k2_group_1(sK6),sK7)
| ~ l1_group_1(sK6)
| v3_struct_0(sK6)
| ~ spl32_22
| ~ spl32_113 ),
inference(superposition,[],[f906,f472]) ).
fof(f1163,plain,
( ~ spl32_40
| ~ spl32_154 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| ~ spl32_40
| ~ spl32_154 ),
inference(resolution,[],[f1158,f561]) ).
fof(f561,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl32_40 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f560,plain,
( spl32_40
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).
fof(f1158,plain,
( v1_xboole_0(k1_zfmisc_1(sK7))
| ~ spl32_154 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1159,plain,
( spl32_153
| spl32_154
| ~ spl32_23
| ~ spl32_107 ),
inference(avatar_split_clause,[],[f896,f870,f475,f1156,f1152]) ).
fof(f896,plain,
( v1_xboole_0(k1_zfmisc_1(sK7))
| r2_hidden(sK7,k1_zfmisc_1(sK7))
| ~ spl32_23
| ~ spl32_107 ),
inference(resolution,[],[f871,f477]) ).
fof(f477,plain,
( m1_subset_1(sK7,k1_zfmisc_1(sK7))
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1150,plain,
( spl32_14
| ~ spl32_140
| ~ spl32_152
| ~ spl32_22
| ~ spl32_96 ),
inference(avatar_split_clause,[],[f864,f808,f470,f1147,f1070,f430]) ).
fof(f808,plain,
( spl32_96
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
fof(f864,plain,
( ~ v1_xboole_0(sK7)
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl32_22
| ~ spl32_96 ),
inference(superposition,[],[f809,f472]) ).
fof(f809,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl32_96 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f1144,plain,
( ~ spl32_130
| spl32_151
| ~ spl32_22
| ~ spl32_94 ),
inference(avatar_split_clause,[],[f849,f800,f470,f1141,f1003]) ).
fof(f1003,plain,
( spl32_130
<=> l2_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_130])]) ).
fof(f849,plain,
( m1_subset_1(u2_struct_0(sK6),sK7)
| ~ l2_struct_0(sK6)
| ~ spl32_22
| ~ spl32_94 ),
inference(superposition,[],[f801,f472]) ).
fof(f1138,plain,
( ~ spl32_130
| spl32_150
| ~ spl32_22
| ~ spl32_93 ),
inference(avatar_split_clause,[],[f848,f796,f470,f1135,f1003]) ).
fof(f848,plain,
( m1_subset_1(k1_rlvect_1(sK6),sK7)
| ~ l2_struct_0(sK6)
| ~ spl32_22
| ~ spl32_93 ),
inference(superposition,[],[f797,f472]) ).
fof(f1130,plain,
spl32_149,
inference(avatar_split_clause,[],[f362,f1128]) ).
fof(f362,plain,
! [X3,X0,X1] :
( k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f276]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( m1_rmod_2(X3,X0,X1)
& v3_vectsp_2(X3,X0) )
=> ( u1_struct_0(X3) = X2
=> ( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_rmod_5) ).
fof(f1125,plain,
spl32_148,
inference(avatar_split_clause,[],[f348,f1123]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8,X9] :
( sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(definition_folding,[],[f146,f155]) ).
fof(f155,plain,
! [X9,X4,X8,X3,X7,X2,X6,X1,X5,X0] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| ~ sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8,X9] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8,X9] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_1(X4)
& m1_subset_1(X3,X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& l1_struct_0(X0) )
=> ! [X5,X6,X7,X8,X9] :
( g1_vectsp_2(X0,X1,X2,X3,X4) = g1_vectsp_2(X5,X6,X7,X8,X9)
=> ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_vectsp_2) ).
fof(f1119,plain,
spl32_147,
inference(avatar_split_clause,[],[f334,f1117]) ).
fof(f334,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f1115,plain,
spl32_146,
inference(avatar_split_clause,[],[f333,f1113]) ).
fof(f1113,plain,
( spl32_146
<=> ! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_146])]) ).
fof(f333,plain,
! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1104,plain,
spl32_145,
inference(avatar_split_clause,[],[f277,f1102]) ).
fof(f277,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_rmod_2) ).
fof(f1098,plain,
spl32_144,
inference(avatar_split_clause,[],[f339,f1096]) ).
fof(f339,plain,
! [X2,X3,X0,X1,X4] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4] :
( ( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_1(X4)
& m1_subset_1(X3,X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X1)
& l1_struct_0(X0) )
=> ( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_vectsp_2) ).
fof(f1085,plain,
spl32_143,
inference(avatar_split_clause,[],[f342,f1083]) ).
fof(f342,plain,
! [X2,X3,X0,X1,X4] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_1(X4)
& m1_subset_1(X3,X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& l1_struct_0(X0) )
=> ( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_vectsp_2) ).
fof(f1081,plain,
spl32_142,
inference(avatar_split_clause,[],[f341,f1079]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f1077,plain,
spl32_141,
inference(avatar_split_clause,[],[f312,f1075]) ).
fof(f312,plain,
! [X2,X0,X1] :
( sP2(X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ! [X2] :
( sP2(X0,X2)
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f123,f151]) ).
fof(f151,plain,
! [X0,X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ sP2(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f1073,plain,
( spl32_140
| ~ spl32_50
| ~ spl32_130 ),
inference(avatar_split_clause,[],[f1034,f1003,f600,f1070]) ).
fof(f1034,plain,
( l1_struct_0(sK6)
| ~ spl32_50
| ~ spl32_130 ),
inference(resolution,[],[f1005,f601]) ).
fof(f1005,plain,
( l2_struct_0(sK6)
| ~ spl32_130 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1068,plain,
spl32_139,
inference(avatar_split_clause,[],[f313,f1066]) ).
fof(f313,plain,
! [X0,X1] :
( m1_rmod_2(sK17(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( m1_rmod_2(sK17(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f125,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X2] : m1_rmod_2(X2,X0,X1)
=> m1_rmod_2(sK17(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X2] : m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ? [X2] : m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_rmod_2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_rmod_2) ).
fof(f1064,plain,
spl32_138,
inference(avatar_split_clause,[],[f304,f1062]) ).
fof(f304,plain,
! [X0,X1] :
( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
& v3_vectsp_2(k2_rmod_2(X0,X1),X0) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
& v3_vectsp_2(k2_rmod_2(X0,X1),X0) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
& v3_vectsp_2(k2_rmod_2(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_rmod_2) ).
fof(f1060,plain,
spl32_137,
inference(avatar_split_clause,[],[f303,f1058]) ).
fof(f1058,plain,
( spl32_137
<=> ! [X0,X1] :
( v3_vectsp_2(k2_rmod_2(X0,X1),X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_137])]) ).
fof(f303,plain,
! [X0,X1] :
( v3_vectsp_2(k2_rmod_2(X0,X1),X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1050,plain,
spl32_136,
inference(avatar_split_clause,[],[f322,f1048]) ).
fof(f322,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f127,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_rmod_2) ).
fof(f1042,plain,
spl32_135,
inference(avatar_split_clause,[],[f294,f1040]) ).
fof(f294,plain,
! [X0] :
( sP1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( sP1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f113,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc16_vectsp_2) ).
fof(f1038,plain,
spl32_134,
inference(avatar_split_clause,[],[f285,f1036]) ).
fof(f285,plain,
! [X0] :
( sP0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( sP0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f111,f147]) ).
fof(f147,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc13_vectsp_2) ).
fof(f1023,plain,
spl32_133,
inference(avatar_split_clause,[],[f326,f1021]) ).
fof(f326,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& l1_struct_0(X0) )
=> ( v3_vectsp_2(X1,X0)
=> g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_vectsp_2) ).
fof(f1014,plain,
spl32_132,
inference(avatar_split_clause,[],[f325,f1012]) ).
fof(f325,plain,
! [X0,X1] :
( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_1(u1_vectsp_2(X0,X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_1(u1_vectsp_2(X0,X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& l1_struct_0(X0) )
=> ( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_1(u1_vectsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_vectsp_2) ).
fof(f1010,plain,
spl32_131,
inference(avatar_split_clause,[],[f324,f1008]) ).
fof(f324,plain,
! [X0,X1] :
( v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f1006,plain,
( spl32_130
| ~ spl32_49
| ~ spl32_117 ),
inference(avatar_split_clause,[],[f970,f929,f596,f1003]) ).
fof(f970,plain,
( l2_struct_0(sK6)
| ~ spl32_49
| ~ spl32_117 ),
inference(resolution,[],[f931,f597]) ).
fof(f931,plain,
( l1_rlvect_1(sK6)
| ~ spl32_117 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f1001,plain,
spl32_129,
inference(avatar_split_clause,[],[f347,f999]) ).
fof(f999,plain,
( spl32_129
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_129])]) ).
fof(f347,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( X0 = X1
& X2 = X3
& X4 = X5
& X6 = X7
& X8 = X9 )
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X9,X4,X8,X3,X7,X2,X6,X1,X5,X0] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| ~ sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0) ),
inference(nnf_transformation,[],[f155]) ).
fof(f997,plain,
spl32_128,
inference(avatar_split_clause,[],[f346,f995]) ).
fof(f995,plain,
( spl32_128
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X2 = X3
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_128])]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X2 = X3
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f194]) ).
fof(f993,plain,
spl32_127,
inference(avatar_split_clause,[],[f345,f991]) ).
fof(f991,plain,
( spl32_127
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X5
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_127])]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X5
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f194]) ).
fof(f989,plain,
spl32_126,
inference(avatar_split_clause,[],[f344,f987]) ).
fof(f987,plain,
( spl32_126
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X6 = X7
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_126])]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X6 = X7
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f194]) ).
fof(f985,plain,
spl32_125,
inference(avatar_split_clause,[],[f343,f983]) ).
fof(f983,plain,
( spl32_125
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X8 = X9
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_125])]) ).
fof(f343,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X8 = X9
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f194]) ).
fof(f978,plain,
spl32_124,
inference(avatar_split_clause,[],[f261,f976]) ).
fof(f261,plain,
! [X0] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_rlvect_1(X0)) )
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> ( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_rlvect_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_rlvect_1) ).
fof(f974,plain,
spl32_123,
inference(avatar_split_clause,[],[f260,f972]) ).
fof(f260,plain,
! [X0] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f952,plain,
spl32_122,
inference(avatar_split_clause,[],[f335,f950]) ).
fof(f335,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f948,plain,
spl32_121,
inference(avatar_split_clause,[],[f332,f946]) ).
fof(f332,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,[],[f135]) ).
fof(f135,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,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f944,plain,
spl32_120,
inference(avatar_split_clause,[],[f274,f942]) ).
fof(f274,plain,
! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( ~ v1_xboole_0(sK12(X0))
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f105,f169]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK12(X0))
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f940,plain,
spl32_119,
inference(avatar_split_clause,[],[f255,f938]) ).
fof(f255,plain,
! [X0] :
( v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v6_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v6_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_vectsp_2) ).
fof(f936,plain,
spl32_118,
inference(avatar_split_clause,[],[f251,f934]) ).
fof(f251,plain,
! [X0] :
( v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v8_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v8_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_vectsp_2) ).
fof(f932,plain,
( ~ spl32_98
| spl32_117
| ~ spl32_21
| ~ spl32_95 ),
inference(avatar_split_clause,[],[f855,f804,f465,f929,f816]) ).
fof(f855,plain,
( l1_rlvect_1(sK6)
| ~ l1_struct_0(sK5)
| ~ spl32_21
| ~ spl32_95 ),
inference(resolution,[],[f805,f467]) ).
fof(f919,plain,
spl32_116,
inference(avatar_split_clause,[],[f338,f917]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f915,plain,
spl32_115,
inference(avatar_split_clause,[],[f323,f913]) ).
fof(f323,plain,
! [X0,X1] :
( v1_funct_1(u1_vectsp_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f911,plain,
spl32_114,
inference(avatar_split_clause,[],[f314,f909]) ).
fof(f314,plain,
! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ( v5_vectsp_2(sK18(X0,X1),X0)
& v3_vectsp_2(sK18(X0,X1),X0)
& v6_rlvect_1(sK18(X0,X1))
& v5_rlvect_1(sK18(X0,X1))
& v4_rlvect_1(sK18(X0,X1))
& v3_rlvect_1(sK18(X0,X1))
& ~ v3_struct_0(sK18(X0,X1))
& m1_rmod_2(sK18(X0,X1),X0,X1) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f185,f186]) ).
fof(f186,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
=> ( v5_vectsp_2(sK18(X0,X1),X0)
& v3_vectsp_2(sK18(X0,X1),X0)
& v6_rlvect_1(sK18(X0,X1))
& v5_rlvect_1(sK18(X0,X1))
& v4_rlvect_1(sK18(X0,X1))
& v3_rlvect_1(sK18(X0,X1))
& ~ v3_struct_0(sK18(X0,X1))
& m1_rmod_2(sK18(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f153]) ).
fof(f907,plain,
spl32_113,
inference(avatar_split_clause,[],[f272,f905]) ).
fof(f272,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f892,plain,
spl32_112,
inference(avatar_split_clause,[],[f337,f890]) ).
fof(f337,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,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,[],[f63]) ).
fof(f63,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f888,plain,
spl32_111,
inference(avatar_split_clause,[],[f336,f886]) ).
fof(f336,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f884,plain,
spl32_110,
inference(avatar_split_clause,[],[f321,f882]) ).
fof(f882,plain,
( spl32_110
<=> ! [X0,X1] :
( v5_vectsp_2(sK18(X0,X1),X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_110])]) ).
fof(f321,plain,
! [X0,X1] :
( v5_vectsp_2(sK18(X0,X1),X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f880,plain,
spl32_109,
inference(avatar_split_clause,[],[f320,f878]) ).
fof(f878,plain,
( spl32_109
<=> ! [X0,X1] :
( v3_vectsp_2(sK18(X0,X1),X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_109])]) ).
fof(f320,plain,
! [X0,X1] :
( v3_vectsp_2(sK18(X0,X1),X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f876,plain,
spl32_108,
inference(avatar_split_clause,[],[f302,f874]) ).
fof(f302,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f872,plain,
spl32_107,
inference(avatar_split_clause,[],[f301,f870]) ).
fof(f301,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f854,plain,
( spl32_106
| ~ spl32_46
| ~ spl32_82 ),
inference(avatar_split_clause,[],[f790,f749,f584,f851]) ).
fof(f851,plain,
( spl32_106
<=> l1_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_106])]) ).
fof(f749,plain,
( spl32_82
<=> l1_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_82])]) ).
fof(f790,plain,
( l1_group_1(sK5)
| ~ spl32_46
| ~ spl32_82 ),
inference(resolution,[],[f751,f585]) ).
fof(f751,plain,
( l1_vectsp_1(sK5)
| ~ spl32_82 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f847,plain,
spl32_105,
inference(avatar_split_clause,[],[f328,f845]) ).
fof(f328,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f843,plain,
spl32_104,
inference(avatar_split_clause,[],[f327,f841]) ).
fof(f327,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f68]) ).
fof(f68,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f839,plain,
spl32_103,
inference(avatar_split_clause,[],[f319,f837]) ).
fof(f837,plain,
( spl32_103
<=> ! [X0,X1] :
( v6_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_103])]) ).
fof(f319,plain,
! [X0,X1] :
( v6_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f835,plain,
spl32_102,
inference(avatar_split_clause,[],[f318,f833]) ).
fof(f833,plain,
( spl32_102
<=> ! [X0,X1] :
( v5_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_102])]) ).
fof(f318,plain,
! [X0,X1] :
( v5_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f831,plain,
spl32_101,
inference(avatar_split_clause,[],[f317,f829]) ).
fof(f829,plain,
( spl32_101
<=> ! [X0,X1] :
( v4_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_101])]) ).
fof(f317,plain,
! [X0,X1] :
( v4_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f827,plain,
spl32_100,
inference(avatar_split_clause,[],[f316,f825]) ).
fof(f825,plain,
( spl32_100
<=> ! [X0,X1] :
( v3_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_100])]) ).
fof(f316,plain,
! [X0,X1] :
( v3_rlvect_1(sK18(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f823,plain,
spl32_99,
inference(avatar_split_clause,[],[f315,f821]) ).
fof(f821,plain,
( spl32_99
<=> ! [X0,X1] :
( ~ v3_struct_0(sK18(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_99])]) ).
fof(f315,plain,
! [X0,X1] :
( ~ v3_struct_0(sK18(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f819,plain,
( spl32_98
| ~ spl32_50
| ~ spl32_75 ),
inference(avatar_split_clause,[],[f789,f720,f600,f816]) ).
fof(f720,plain,
( spl32_75
<=> l2_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).
fof(f789,plain,
( l1_struct_0(sK5)
| ~ spl32_50
| ~ spl32_75 ),
inference(resolution,[],[f722,f601]) ).
fof(f722,plain,
( l2_struct_0(sK5)
| ~ spl32_75 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f814,plain,
spl32_97,
inference(avatar_split_clause,[],[f275,f812]) ).
fof(f275,plain,
! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f810,plain,
spl32_96,
inference(avatar_split_clause,[],[f273,f808]) ).
fof(f273,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f806,plain,
spl32_95,
inference(avatar_split_clause,[],[f265,f804]) ).
fof(f265,plain,
! [X0,X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f802,plain,
spl32_94,
inference(avatar_split_clause,[],[f264,f800]) ).
fof(f264,plain,
! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(u2_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_struct_0) ).
fof(f798,plain,
spl32_93,
inference(avatar_split_clause,[],[f263,f796]) ).
fof(f263,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(f794,plain,
spl32_92,
inference(avatar_split_clause,[],[f244,f792]) ).
fof(f244,plain,
! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f81,f161]) ).
fof(f161,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(f81,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f788,plain,
spl32_91,
inference(avatar_split_clause,[],[f331,f786]) ).
fof(f331,plain,
! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f44,f190]) ).
fof(f190,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK20(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f784,plain,
spl32_90,
inference(avatar_split_clause,[],[f330,f782]) ).
fof(f330,plain,
! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f41,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK19(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f780,plain,
spl32_89,
inference(avatar_split_clause,[],[f311,f778]) ).
fof(f311,plain,
! [X0,X1] :
( l1_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X0,X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ sP2(X0,X2) ),
inference(nnf_transformation,[],[f151]) ).
fof(f776,plain,
spl32_88,
inference(avatar_split_clause,[],[f310,f774]) ).
fof(f310,plain,
! [X0,X1] :
( v5_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f772,plain,
spl32_87,
inference(avatar_split_clause,[],[f300,f770]) ).
fof(f770,plain,
( spl32_87
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).
fof(f300,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f768,plain,
spl32_86,
inference(avatar_split_clause,[],[f299,f766]) ).
fof(f299,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f764,plain,
spl32_85,
inference(avatar_split_clause,[],[f293,f762]) ).
fof(f293,plain,
! [X0] :
( v5_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( v5_vectsp_2(sK14(X0),X0)
& v3_vectsp_2(sK14(X0),X0)
& v6_rlvect_1(sK14(X0))
& v5_rlvect_1(sK14(X0))
& v4_rlvect_1(sK14(X0))
& v3_rlvect_1(sK14(X0))
& ~ v3_struct_0(sK14(X0))
& l1_vectsp_2(sK14(X0),X0) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f174,f175]) ).
fof(f175,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
=> ( v5_vectsp_2(sK14(X0),X0)
& v3_vectsp_2(sK14(X0),X0)
& v6_rlvect_1(sK14(X0))
& v5_rlvect_1(sK14(X0))
& v4_rlvect_1(sK14(X0))
& v3_rlvect_1(sK14(X0))
& ~ v3_struct_0(sK14(X0))
& l1_vectsp_2(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f149]) ).
fof(f760,plain,
spl32_84,
inference(avatar_split_clause,[],[f292,f758]) ).
fof(f292,plain,
! [X0] :
( v3_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f756,plain,
spl32_83,
inference(avatar_split_clause,[],[f286,f754]) ).
fof(f286,plain,
! [X0] :
( l1_vectsp_2(sK14(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f752,plain,
( spl32_82
| ~ spl32_43
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f718,f656,f572,f749]) ).
fof(f656,plain,
( spl32_61
<=> l2_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
fof(f718,plain,
( l1_vectsp_1(sK5)
| ~ spl32_43
| ~ spl32_61 ),
inference(resolution,[],[f658,f573]) ).
fof(f658,plain,
( l2_vectsp_1(sK5)
| ~ spl32_61 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f747,plain,
spl32_81,
inference(avatar_split_clause,[],[f284,f745]) ).
fof(f284,plain,
! [X0] :
( v3_vectsp_2(sK13(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( v3_vectsp_2(sK13(X0),X0)
& v6_rlvect_1(sK13(X0))
& v5_rlvect_1(sK13(X0))
& v4_rlvect_1(sK13(X0))
& v3_rlvect_1(sK13(X0))
& ~ v3_struct_0(sK13(X0))
& l1_vectsp_2(sK13(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f171,f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
=> ( v3_vectsp_2(sK13(X0),X0)
& v6_rlvect_1(sK13(X0))
& v5_rlvect_1(sK13(X0))
& v4_rlvect_1(sK13(X0))
& v3_rlvect_1(sK13(X0))
& ~ v3_struct_0(sK13(X0))
& l1_vectsp_2(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f743,plain,
spl32_80,
inference(avatar_split_clause,[],[f278,f741]) ).
fof(f278,plain,
! [X0] :
( l1_vectsp_2(sK13(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f739,plain,
spl32_79,
inference(avatar_split_clause,[],[f270,f737]) ).
fof(f270,plain,
! [X0] :
( v3_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( v3_vectsp_2(sK11(X0),X0)
& l1_vectsp_2(sK11(X0),X0) )
| ~ l1_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f98,f167]) ).
fof(f167,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ( v3_vectsp_2(sK11(X0),X0)
& l1_vectsp_2(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( l1_struct_0(X0)
=> ? [X1] :
( v3_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_vectsp_2) ).
fof(f735,plain,
spl32_78,
inference(avatar_split_clause,[],[f269,f733]) ).
fof(f269,plain,
! [X0] :
( l1_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f731,plain,
spl32_77,
inference(avatar_split_clause,[],[f267,f729]) ).
fof(f267,plain,
! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( ~ v3_struct_0(sK10(X0))
& l1_vectsp_2(sK10(X0),X0) )
| ~ l1_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f97,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
=> ( ~ v3_struct_0(sK10(X0))
& l1_vectsp_2(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( l1_struct_0(X0)
=> ? [X1] :
( ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_vectsp_2) ).
fof(f727,plain,
spl32_76,
inference(avatar_split_clause,[],[f266,f725]) ).
fof(f266,plain,
! [X0] :
( l1_vectsp_2(sK9(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( l1_vectsp_2(sK9(X0),X0)
| ~ l1_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f96,f163]) ).
fof(f163,plain,
! [X0] :
( ? [X1] : l1_vectsp_2(X1,X0)
=> l1_vectsp_2(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ? [X1] : l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( l1_struct_0(X0)
=> ? [X1] : l1_vectsp_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_vectsp_2) ).
fof(f723,plain,
( spl32_75
| ~ spl32_49
| ~ spl32_52 ),
inference(avatar_split_clause,[],[f700,f617,f596,f720]) ).
fof(f617,plain,
( spl32_52
<=> l1_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
fof(f700,plain,
( l2_struct_0(sK5)
| ~ spl32_49
| ~ spl32_52 ),
inference(resolution,[],[f619,f597]) ).
fof(f619,plain,
( l1_rlvect_1(sK5)
| ~ spl32_52 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f712,plain,
spl32_74,
inference(avatar_split_clause,[],[f329,f710]) ).
fof(f710,plain,
( spl32_74
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).
fof(f329,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f708,plain,
spl32_73,
inference(avatar_split_clause,[],[f309,f706]) ).
fof(f309,plain,
! [X0,X1] :
( v6_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f704,plain,
spl32_72,
inference(avatar_split_clause,[],[f308,f702]) ).
fof(f308,plain,
! [X0,X1] :
( v5_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f699,plain,
spl32_71,
inference(avatar_split_clause,[],[f307,f697]) ).
fof(f307,plain,
! [X0,X1] :
( v4_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f695,plain,
spl32_70,
inference(avatar_split_clause,[],[f306,f693]) ).
fof(f306,plain,
! [X0,X1] :
( v3_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f691,plain,
spl32_69,
inference(avatar_split_clause,[],[f305,f689]) ).
fof(f305,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f687,plain,
spl32_68,
inference(avatar_split_clause,[],[f296,f685]) ).
fof(f296,plain,
! [X0] : m1_subset_1(sK16(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( v1_xboole_0(sK16(X0))
& m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f56,f179]) ).
fof(f179,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK16(X0))
& m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f683,plain,
spl32_67,
inference(avatar_split_clause,[],[f291,f681]) ).
fof(f681,plain,
( spl32_67
<=> ! [X0] :
( v6_rlvect_1(sK14(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
fof(f291,plain,
! [X0] :
( v6_rlvect_1(sK14(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f679,plain,
spl32_66,
inference(avatar_split_clause,[],[f290,f677]) ).
fof(f677,plain,
( spl32_66
<=> ! [X0] :
( v5_rlvect_1(sK14(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f290,plain,
! [X0] :
( v5_rlvect_1(sK14(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f675,plain,
spl32_65,
inference(avatar_split_clause,[],[f289,f673]) ).
fof(f673,plain,
( spl32_65
<=> ! [X0] :
( v4_rlvect_1(sK14(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f289,plain,
! [X0] :
( v4_rlvect_1(sK14(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f671,plain,
spl32_64,
inference(avatar_split_clause,[],[f288,f669]) ).
fof(f669,plain,
( spl32_64
<=> ! [X0] :
( v3_rlvect_1(sK14(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
fof(f288,plain,
! [X0] :
( v3_rlvect_1(sK14(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f667,plain,
spl32_63,
inference(avatar_split_clause,[],[f287,f665]) ).
fof(f665,plain,
( spl32_63
<=> ! [X0] :
( ~ v3_struct_0(sK14(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).
fof(f287,plain,
! [X0] :
( ~ v3_struct_0(sK14(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f663,plain,
spl32_62,
inference(avatar_split_clause,[],[f283,f661]) ).
fof(f661,plain,
( spl32_62
<=> ! [X0] :
( v6_rlvect_1(sK13(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
fof(f283,plain,
! [X0] :
( v6_rlvect_1(sK13(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f659,plain,
( spl32_61
| ~ spl32_13
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f613,f592,f425,f656]) ).
fof(f613,plain,
( l2_vectsp_1(sK5)
| ~ spl32_13
| ~ spl32_48 ),
inference(resolution,[],[f593,f427]) ).
fof(f654,plain,
spl32_60,
inference(avatar_split_clause,[],[f282,f652]) ).
fof(f652,plain,
( spl32_60
<=> ! [X0] :
( v5_rlvect_1(sK13(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).
fof(f282,plain,
! [X0] :
( v5_rlvect_1(sK13(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f650,plain,
spl32_59,
inference(avatar_split_clause,[],[f281,f648]) ).
fof(f648,plain,
( spl32_59
<=> ! [X0] :
( v4_rlvect_1(sK13(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).
fof(f281,plain,
! [X0] :
( v4_rlvect_1(sK13(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f646,plain,
spl32_58,
inference(avatar_split_clause,[],[f280,f644]) ).
fof(f644,plain,
( spl32_58
<=> ! [X0] :
( v3_rlvect_1(sK13(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
fof(f280,plain,
! [X0] :
( v3_rlvect_1(sK13(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f642,plain,
spl32_57,
inference(avatar_split_clause,[],[f279,f640]) ).
fof(f640,plain,
( spl32_57
<=> ! [X0] :
( ~ v3_struct_0(sK13(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).
fof(f279,plain,
! [X0] :
( ~ v3_struct_0(sK13(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f638,plain,
spl32_56,
inference(avatar_split_clause,[],[f271,f636]) ).
fof(f271,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f634,plain,
spl32_55,
inference(avatar_split_clause,[],[f268,f632]) ).
fof(f632,plain,
( spl32_55
<=> ! [X0] :
( ~ v3_struct_0(sK10(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f268,plain,
! [X0] :
( ~ v3_struct_0(sK10(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f630,plain,
spl32_54,
inference(avatar_split_clause,[],[f259,f628]) ).
fof(f259,plain,
! [X0] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f626,plain,
spl32_53,
inference(avatar_split_clause,[],[f245,f624]) ).
fof(f624,plain,
( spl32_53
<=> ! [X0] :
( ~ v1_xboole_0(sK8(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).
fof(f245,plain,
! [X0] :
( ~ v1_xboole_0(sK8(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f620,plain,
( spl32_52
| ~ spl32_13
| ~ spl32_47 ),
inference(avatar_split_clause,[],[f611,f588,f425,f617]) ).
fof(f611,plain,
( l1_rlvect_1(sK5)
| ~ spl32_13
| ~ spl32_47 ),
inference(resolution,[],[f589,f427]) ).
fof(f606,plain,
spl32_51,
inference(avatar_split_clause,[],[f295,f604]) ).
fof(f295,plain,
! [X0] : m1_subset_1(sK15(X0),X0),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] : m1_subset_1(sK15(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f43,f177]) ).
fof(f177,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f602,plain,
spl32_50,
inference(avatar_split_clause,[],[f262,f600]) ).
fof(f262,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f598,plain,
spl32_49,
inference(avatar_split_clause,[],[f258,f596]) ).
fof(f258,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f594,plain,
spl32_48,
inference(avatar_split_clause,[],[f257,f592]) ).
fof(f257,plain,
! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f590,plain,
spl32_47,
inference(avatar_split_clause,[],[f256,f588]) ).
fof(f256,plain,
! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f586,plain,
spl32_46,
inference(avatar_split_clause,[],[f249,f584]) ).
fof(f249,plain,
! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_1) ).
fof(f582,plain,
spl32_45,
inference(avatar_split_clause,[],[f248,f580]) ).
fof(f248,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f578,plain,
spl32_44,
inference(avatar_split_clause,[],[f247,f576]) ).
fof(f247,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( l2_struct_0(X0)
& l1_vectsp_1(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l2_struct_0(X0)
& l1_vectsp_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f574,plain,
spl32_43,
inference(avatar_split_clause,[],[f246,f572]) ).
fof(f246,plain,
! [X0] :
( l1_vectsp_1(X0)
| ~ l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f570,plain,
spl32_42,
inference(avatar_split_clause,[],[f298,f568]) ).
fof(f298,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f566,plain,
spl32_41,
inference(avatar_split_clause,[],[f297,f564]) ).
fof(f297,plain,
! [X0] : v1_xboole_0(sK16(X0)),
inference(cnf_transformation,[],[f180]) ).
fof(f562,plain,
spl32_40,
inference(avatar_split_clause,[],[f243,f560]) ).
fof(f243,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f558,plain,
~ spl32_39,
inference(avatar_split_clause,[],[f361,f555]) ).
fof(f555,plain,
( spl32_39
<=> v3_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).
fof(f361,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ~ v3_struct_0(sK31)
& l1_struct_0(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f58,f215]) ).
fof(f215,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK31)
& l1_struct_0(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f58,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f553,plain,
spl32_38,
inference(avatar_split_clause,[],[f360,f550]) ).
fof(f550,plain,
( spl32_38
<=> l1_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
fof(f360,plain,
l1_struct_0(sK31),
inference(cnf_transformation,[],[f216]) ).
fof(f548,plain,
~ spl32_37,
inference(avatar_split_clause,[],[f359,f545]) ).
fof(f545,plain,
( spl32_37
<=> v3_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
fof(f359,plain,
~ v3_struct_0(sK30),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ~ v3_struct_0(sK30)
& l2_struct_0(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f59,f213]) ).
fof(f213,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l2_struct_0(X0) )
=> ( ~ v3_struct_0(sK30)
& l2_struct_0(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f59,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_struct_0) ).
fof(f543,plain,
spl32_36,
inference(avatar_split_clause,[],[f358,f540]) ).
fof(f358,plain,
l2_struct_0(sK30),
inference(cnf_transformation,[],[f214]) ).
fof(f538,plain,
spl32_35,
inference(avatar_split_clause,[],[f357,f535]) ).
fof(f357,plain,
v1_xboole_0(sK29),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
v1_xboole_0(sK29),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f55,f211]) ).
fof(f211,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK29) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f533,plain,
spl32_34,
inference(avatar_split_clause,[],[f356,f530]) ).
fof(f530,plain,
( spl32_34
<=> l1_struct_0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f356,plain,
l1_struct_0(sK28),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
l1_struct_0(sK28),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f35,f209]) ).
fof(f209,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK28) ),
introduced(choice_axiom,[]) ).
fof(f35,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f528,plain,
spl32_33,
inference(avatar_split_clause,[],[f355,f525]) ).
fof(f355,plain,
l2_struct_0(sK27),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
l2_struct_0(sK27),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f38,f207]) ).
fof(f207,plain,
( ? [X0] : l2_struct_0(X0)
=> l2_struct_0(sK27) ),
introduced(choice_axiom,[]) ).
fof(f38,axiom,
? [X0] : l2_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_struct_0) ).
fof(f523,plain,
spl32_32,
inference(avatar_split_clause,[],[f354,f520]) ).
fof(f354,plain,
l1_rlvect_1(sK26),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
l1_rlvect_1(sK26),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f34,f205]) ).
fof(f205,plain,
( ? [X0] : l1_rlvect_1(X0)
=> l1_rlvect_1(sK26) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
? [X0] : l1_rlvect_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_rlvect_1) ).
fof(f518,plain,
spl32_31,
inference(avatar_split_clause,[],[f353,f515]) ).
fof(f353,plain,
l3_vectsp_1(sK25),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
l3_vectsp_1(sK25),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f40,f203]) ).
fof(f203,plain,
( ? [X0] : l3_vectsp_1(X0)
=> l3_vectsp_1(sK25) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] : l3_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_vectsp_1) ).
fof(f513,plain,
spl32_30,
inference(avatar_split_clause,[],[f352,f510]) ).
fof(f352,plain,
l1_vectsp_1(sK24),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
l1_vectsp_1(sK24),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f36,f201]) ).
fof(f201,plain,
( ? [X0] : l1_vectsp_1(X0)
=> l1_vectsp_1(sK24) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
? [X0] : l1_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_vectsp_1) ).
fof(f508,plain,
spl32_29,
inference(avatar_split_clause,[],[f351,f505]) ).
fof(f351,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
l1_group_1(sK23),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f33,f199]) ).
fof(f199,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK23) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f503,plain,
spl32_28,
inference(avatar_split_clause,[],[f350,f500]) ).
fof(f350,plain,
l2_vectsp_1(sK22),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
l2_vectsp_1(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f39,f197]) ).
fof(f197,plain,
( ? [X0] : l2_vectsp_1(X0)
=> l2_vectsp_1(sK22) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : l2_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_vectsp_1) ).
fof(f498,plain,
~ spl32_27,
inference(avatar_split_clause,[],[f349,f495]) ).
fof(f495,plain,
( spl32_27
<=> v1_xboole_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f349,plain,
~ v1_xboole_0(sK21),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
~ v1_xboole_0(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f57,f195]) ).
fof(f195,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK21) ),
introduced(choice_axiom,[]) ).
fof(f57,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f493,plain,
spl32_26,
inference(avatar_split_clause,[],[f242,f490]) ).
fof(f242,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f488,plain,
~ spl32_25,
inference(avatar_split_clause,[],[f241,f485]) ).
fof(f241,plain,
sK6 != k1_rmod_5(sK5,sK6,sK7),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( sK6 != k1_rmod_5(sK5,sK6,sK7)
& k1_rlvect_1(sK5) != k2_group_1(sK5)
& u1_struct_0(sK6) = sK7
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
& l1_vectsp_2(sK6,sK5)
& v5_vectsp_2(sK6,sK5)
& v3_vectsp_2(sK6,sK5)
& v6_rlvect_1(sK6)
& v5_rlvect_1(sK6)
& v4_rlvect_1(sK6)
& v3_rlvect_1(sK6)
& ~ v3_struct_0(sK6)
& l3_vectsp_1(sK5)
& v2_vectsp_2(sK5)
& ~ v10_vectsp_1(sK5)
& v8_vectsp_1(sK5)
& v7_vectsp_1(sK5)
& v6_vectsp_1(sK5)
& v7_group_1(sK5)
& v4_group_1(sK5)
& v6_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v3_rlvect_1(sK5)
& ~ v3_struct_0(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f80,f159,f158,f157]) ).
fof(f157,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) != X1
& k1_rlvect_1(X0) != k2_group_1(X0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k1_rmod_5(sK5,X1,X2) != X1
& k1_rlvect_1(sK5) != k2_group_1(sK5)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK5)
& v5_vectsp_2(X1,sK5)
& v3_vectsp_2(X1,sK5)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(sK5)
& v2_vectsp_2(sK5)
& ~ v10_vectsp_1(sK5)
& v8_vectsp_1(sK5)
& v7_vectsp_1(sK5)
& v6_vectsp_1(sK5)
& v7_group_1(sK5)
& v4_group_1(sK5)
& v6_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v3_rlvect_1(sK5)
& ~ v3_struct_0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X1] :
( ? [X2] :
( k1_rmod_5(sK5,X1,X2) != X1
& k1_rlvect_1(sK5) != k2_group_1(sK5)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK5)
& v5_vectsp_2(X1,sK5)
& v3_vectsp_2(X1,sK5)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( sK6 != k1_rmod_5(sK5,sK6,X2)
& k1_rlvect_1(sK5) != k2_group_1(sK5)
& u1_struct_0(sK6) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK6))) )
& l1_vectsp_2(sK6,sK5)
& v5_vectsp_2(sK6,sK5)
& v3_vectsp_2(sK6,sK5)
& v6_rlvect_1(sK6)
& v5_rlvect_1(sK6)
& v4_rlvect_1(sK6)
& v3_rlvect_1(sK6)
& ~ v3_struct_0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X2] :
( sK6 != k1_rmod_5(sK5,sK6,X2)
& k1_rlvect_1(sK5) != k2_group_1(sK5)
& u1_struct_0(sK6) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK6))) )
=> ( sK6 != k1_rmod_5(sK5,sK6,sK7)
& k1_rlvect_1(sK5) != k2_group_1(sK5)
& u1_struct_0(sK6) = sK7
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) != X1
& k1_rlvect_1(X0) != k2_group_1(X0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) != X1
& k1_rlvect_1(X0) != k2_group_1(X0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( u1_struct_0(X1) = X2
=> ( k1_rmod_5(X0,X1,X2) = X1
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( u1_struct_0(X1) = X2
=> ( k1_rmod_5(X0,X1,X2) = X1
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_rmod_5) ).
fof(f483,plain,
~ spl32_24,
inference(avatar_split_clause,[],[f240,f480]) ).
fof(f240,plain,
k1_rlvect_1(sK5) != k2_group_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f478,plain,
spl32_23,
inference(avatar_split_clause,[],[f363,f475]) ).
fof(f363,plain,
m1_subset_1(sK7,k1_zfmisc_1(sK7)),
inference(forward_demodulation,[],[f238,f239]) ).
fof(f239,plain,
u1_struct_0(sK6) = sK7,
inference(cnf_transformation,[],[f160]) ).
fof(f238,plain,
m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f160]) ).
fof(f473,plain,
spl32_22,
inference(avatar_split_clause,[],[f239,f470]) ).
fof(f468,plain,
spl32_21,
inference(avatar_split_clause,[],[f237,f465]) ).
fof(f237,plain,
l1_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f463,plain,
spl32_20,
inference(avatar_split_clause,[],[f236,f460]) ).
fof(f236,plain,
v5_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f458,plain,
spl32_19,
inference(avatar_split_clause,[],[f235,f455]) ).
fof(f235,plain,
v3_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f453,plain,
spl32_18,
inference(avatar_split_clause,[],[f234,f450]) ).
fof(f234,plain,
v6_rlvect_1(sK6),
inference(cnf_transformation,[],[f160]) ).
fof(f448,plain,
spl32_17,
inference(avatar_split_clause,[],[f233,f445]) ).
fof(f233,plain,
v5_rlvect_1(sK6),
inference(cnf_transformation,[],[f160]) ).
fof(f443,plain,
spl32_16,
inference(avatar_split_clause,[],[f232,f440]) ).
fof(f232,plain,
v4_rlvect_1(sK6),
inference(cnf_transformation,[],[f160]) ).
fof(f438,plain,
spl32_15,
inference(avatar_split_clause,[],[f231,f435]) ).
fof(f231,plain,
v3_rlvect_1(sK6),
inference(cnf_transformation,[],[f160]) ).
fof(f433,plain,
~ spl32_14,
inference(avatar_split_clause,[],[f230,f430]) ).
fof(f230,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f160]) ).
fof(f428,plain,
spl32_13,
inference(avatar_split_clause,[],[f229,f425]) ).
fof(f229,plain,
l3_vectsp_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f423,plain,
spl32_12,
inference(avatar_split_clause,[],[f228,f420]) ).
fof(f228,plain,
v2_vectsp_2(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f418,plain,
~ spl32_11,
inference(avatar_split_clause,[],[f227,f415]) ).
fof(f227,plain,
~ v10_vectsp_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f413,plain,
spl32_10,
inference(avatar_split_clause,[],[f226,f410]) ).
fof(f226,plain,
v8_vectsp_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f408,plain,
spl32_9,
inference(avatar_split_clause,[],[f225,f405]) ).
fof(f225,plain,
v7_vectsp_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f403,plain,
spl32_8,
inference(avatar_split_clause,[],[f224,f400]) ).
fof(f224,plain,
v6_vectsp_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f398,plain,
spl32_7,
inference(avatar_split_clause,[],[f223,f395]) ).
fof(f223,plain,
v7_group_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f393,plain,
spl32_6,
inference(avatar_split_clause,[],[f222,f390]) ).
fof(f222,plain,
v4_group_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f388,plain,
spl32_5,
inference(avatar_split_clause,[],[f221,f385]) ).
fof(f221,plain,
v6_rlvect_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f383,plain,
spl32_4,
inference(avatar_split_clause,[],[f220,f380]) ).
fof(f220,plain,
v5_rlvect_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f378,plain,
spl32_3,
inference(avatar_split_clause,[],[f219,f375]) ).
fof(f219,plain,
v4_rlvect_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f373,plain,
spl32_2,
inference(avatar_split_clause,[],[f218,f370]) ).
fof(f218,plain,
v3_rlvect_1(sK5),
inference(cnf_transformation,[],[f160]) ).
fof(f368,plain,
~ spl32_1,
inference(avatar_split_clause,[],[f217,f365]) ).
fof(f217,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : ALG219+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 19:54:37 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % (20202)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30 % (20203)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.30 % (20206)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.30 % (20207)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)
% 0.10/0.31 % (20208)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)
% 0.10/0.31 % (20204)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.31 % (20205)WARNING: value z3 for option sas not known
% 0.10/0.31 % (20205)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)
% 0.10/0.31 % (20209)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)
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.35 % (20207)First to succeed.
% 0.14/0.35 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.37 % (20207)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20202"
% 0.14/0.37 % (20207)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (20207)------------------------------
% 0.14/0.38 % (20207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (20207)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (20207)Memory used [KB]: 2571
% 0.14/0.38 % (20207)Time elapsed: 0.067 s
% 0.14/0.38 % (20207)Instructions burned: 173 (million)
% 0.14/0.38 % (20202)Success in time 0.087 s
%------------------------------------------------------------------------------